id
float64
706
1.8k
title
stringlengths
1
343
abstract
stringlengths
6
6.09k
categories
stringlengths
5
125
processed_abstract
stringlengths
2
5.96k
tokenized_abstract
stringlengths
8
8.74k
centroid
stringlengths
2.1k
2.17k
709.0935
The Algebraic Complexity of Maximum Likelihood Estimation for Bivariate Missing Data
We study the problem of maximum likelihood estimation for general patterns of bivariate missing data for normal and multinomial random variables, under the assumption that the data is missing at random (MAR). For normal data, the score equations have nine complex solutions, at least one of which is real and statistically significant. Our computations suggest that the number of real solutions is related to whether or not the MAR assumption is satisfied. In the multinomial case, all solutions to the score equations are real and the number of real solutions grows exponentially in the number of states of the underlying random variables, though there is always precisely one statistically significant local maxima.
math.ST math.AG stat.CO stat.TH
we study the problem of maximum likelihood estimation for general patterns of bivariate missing data for normal and multinomial random variables under the assumption that the data is missing at random mar for normal data the score equations have nine complex solutions at least one of which is real and statistically significant our computations suggest that the number of real solutions is related to whether or not the mar assumption is satisfied in the multinomial case all solutions to the score equations are real and the number of real solutions grows exponentially in the number of states of the underlying random variables though there is always precisely one statistically significant local maxima
[['we', 'study', 'the', 'problem', 'of', 'maximum', 'likelihood', 'estimation', 'for', 'general', 'patterns', 'of', 'bivariate', 'missing', 'data', 'for', 'normal', 'and', 'multinomial', 'random', 'variables', 'under', 'the', 'assumption', 'that', 'the', 'data', 'is', 'missing', 'at', 'random', 'mar', 'for', 'normal', 'data', 'the', 'score', 'equations', 'have', 'nine', 'complex', 'solutions', 'at', 'least', 'one', 'of', 'which', 'is', 'real', 'and', 'statistically', 'significant', 'our', 'computations', 'suggest', 'that', 'the', 'number', 'of', 'real', 'solutions', 'is', 'related', 'to', 'whether', 'or', 'not', 'the', 'mar', 'assumption', 'is', 'satisfied', 'in', 'the', 'multinomial', 'case', 'all', 'solutions', 'to', 'the', 'score', 'equations', 'are', 'real', 'and', 'the', 'number', 'of', 'real', 'solutions', 'grows', 'exponentially', 'in', 'the', 'number', 'of', 'states', 'of', 'the', 'underlying', 'random', 'variables', 'though', 'there', 'is', 'always', 'precisely', 'one', 'statistically', 'significant', 'local', 'maxima']]
[-0.12373230329831131, 0.08934840906710763, -0.07992212343794693, 0.09200759246180366, -0.0706705970681339, -0.13960709899713816, 0.04237669008476327, 0.33052341836238547, -0.25904188168767306, -0.3041931520149644, 0.13784763916503703, -0.3275601858061106, -0.15466478273447137, 0.173155322302981, -0.054450709239712784, 0.07542527827068365, 0.08028225880947762, 0.0731939164522503, -0.030545688146958128, -0.3386585003629859, 0.34704528853762895, -0.025916539357110326, 0.29521830167920726, -0.037909147450721194, 0.09911758354012688, 0.008536537157072286, -0.04103899365457307, 0.017187198574122573, -0.04338905864967403, 0.05611305085611613, 0.25085678877907674, 0.16772974809906113, 0.28163516144767137, -0.39769064247541663, -0.1659897773310409, 0.1988687299349944, 0.10846690226441881, 0.07833739682454118, -0.005680417135798572, -0.2079822947084072, 0.12695754415627952, -0.08758139146292317, -0.12371633563556575, -0.05871285925760666, 0.029908299159225344, 0.032011477582273073, -0.3338929742084084, 0.1481017508943166, 0.037295961078988124, 0.06674195532728586, -0.06129365361786248, -0.14350717057303491, -0.021912171756931848, 0.08676527147638678, 0.10703135246454362, -0.010446693359491681, 0.04846848223730506, -0.14886252266088768, -0.10022867518377357, 0.34261771347207415, -0.017062446850884174, -0.2726243668689027, 0.18832792434841394, -0.18038023834482633, -0.16372863116391403, 0.14741237976340926, 0.18554141094708548, 0.10046611684707127, -0.14934280979546852, 0.03778824017094199, -0.10730392405405707, 0.14868387824390084, 0.046694803704407865, -0.04570520060691966, 0.1538602868677117, 0.09617488143183957, 0.08836231666126489, 0.08189920647003289, -0.0921500426816887, -0.12014563094375522, -0.3096787635336763, -0.14155267994335322, -0.22585705828324926, 0.027164989244738535, -0.1587872894510188, -0.22279344179800578, 0.39583339375842896, 0.14981435254282718, 0.19851442281755485, 0.08503555915688464, 0.2719530521093735, 0.16759760988497874, 0.034951246958891194, 0.10041963515686803, 0.1750959225131997, 0.10841412736668385, 0.06028242622934548, -0.14741064128715411, 0.15686433433854421, -0.025787349754994335]
709.0936
New Curved Spacetime Dirac Equations - On the Anomalous Gyromagnetic Ratio
I propose three new curved spacetime versions of the Dirac Equation. These equations have been developed mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of Fermions. The derived equations suggest that particles including the Electron which is thought to be a point particle do have a finite spatial size which is the reason for the observed anomalous gyromagnetic ratio. A serendipitous result of the theory, is that, two of the equation exhibits an asymmetry in their positive and negative energy solutions the first suggestion of which is clear that a solution to the problem as to why the Electron and Muon - despite their acute similarities - exhibit an asymmetry in their mass is possible. The Mourn is often thought as an Electron in a higher energy state. Another of the consequences of three equations emanating from the asymmetric serendipity of the energy solutions of two of these equations, is that, an explanation as to why Leptons exhibit a three stage mass hierarchy is possible.
physics.gen-ph
i propose three new curved spacetime versions of the dirac equation these equations have been developed mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of fermions the derived equations suggest that particles including the electron which is thought to be a point particle do have a finite spatial size which is the reason for the observed anomalous gyromagnetic ratio a serendipitous result of the theory is that two of the equation exhibits an asymmetry in their positive and negative energy solutions the first suggestion of which is clear that a solution to the problem as to why the electron and muon despite their acute similarities exhibit an asymmetry in their mass is possible the mourn is often thought as an electron in a higher energy state another of the consequences of three equations emanating from the asymmetric serendipity of the energy solutions of two of these equations is that an explanation as to why leptons exhibit a three stage mass hierarchy is possible
[['i', 'propose', 'three', 'new', 'curved', 'spacetime', 'versions', 'of', 'the', 'dirac', 'equation', 'these', 'equations', 'have', 'been', 'developed', 'mainly', 'to', 'try', 'and', 'account', 'in', 'a', 'natural', 'way', 'for', 'the', 'observed', 'anomalous', 'gyromagnetic', 'ratio', 'of', 'fermions', 'the', 'derived', 'equations', 'suggest', 'that', 'particles', 'including', 'the', 'electron', 'which', 'is', 'thought', 'to', 'be', 'a', 'point', 'particle', 'do', 'have', 'a', 'finite', 'spatial', 'size', 'which', 'is', 'the', 'reason', 'for', 'the', 'observed', 'anomalous', 'gyromagnetic', 'ratio', 'a', 'serendipitous', 'result', 'of', 'the', 'theory', 'is', 'that', 'two', 'of', 'the', 'equation', 'exhibits', 'an', 'asymmetry', 'in', 'their', 'positive', 'and', 'negative', 'energy', 'solutions', 'the', 'first', 'suggestion', 'of', 'which', 'is', 'clear', 'that', 'a', 'solution', 'to', 'the', 'problem', 'as', 'to', 'why', 'the', 'electron', 'and', 'muon', 'despite', 'their', 'acute', 'similarities', 'exhibit', 'an', 'asymmetry', 'in', 'their', 'mass', 'is', 'possible', 'the', 'mourn', 'is', 'often', 'thought', 'as', 'an', 'electron', 'in', 'a', 'higher', 'energy', 'state', 'another', 'of', 'the', 'consequences', 'of', 'three', 'equations', 'emanating', 'from', 'the', 'asymmetric', 'serendipity', 'of', 'the', 'energy', 'solutions', 'of', 'two', 'of', 'these', 'equations', 'is', 'that', 'an', 'explanation', 'as', 'to', 'why', 'leptons', 'exhibit', 'a', 'three', 'stage', 'mass', 'hierarchy', 'is', 'possible']]
[-0.12180875017743051, 0.15535519116994864, -0.10532266907559255, 0.11923873232203651, -0.07627248560621254, -0.127191473473657, -0.011815663460868042, 0.32180135517474817, -0.23629370400218497, -0.3286698929656892, 0.05896478070463839, -0.30323839069691283, -0.12881292803102784, 0.16270873601790847, -0.012298575194673778, 0.008689067405359213, -0.0040625998648379505, 0.043266888955861504, -0.06936228765827775, -0.1920604067117516, 0.34575948310249965, 0.03687551767791252, 0.25980470284334656, 0.08281508610534245, 0.14175698525388036, -0.09268591180305995, 0.0023044937389445374, 0.03102964920559402, -0.08510303846457092, 0.07260965260321595, 0.20398976118166065, 0.08127489534259041, 0.2295983900817541, -0.4150686463914238, -0.17561607610864136, 0.10091677853925782, 0.17303746575096998, 0.11123883051414749, -0.10060607516289463, -0.21956907220036012, 0.05332538620920124, -0.1575239203269621, -0.19030017882431224, -0.030379318725868795, 0.03959716352242866, -0.006628646870755409, -0.23816651858929436, 0.0951813311941547, 0.09139765350192168, -0.012444509942767887, -0.09902078050227296, -0.1227200382675689, -0.024694253687785397, 0.08615071679459962, 0.1218276658541793, 0.004556919887907164, 0.06093409474933597, -0.13952255620863618, -0.14794480885494743, 0.41369931066970855, -0.04920650787442129, -0.21021287277349154, 0.18864674066171358, -0.1494380152293828, -0.10975829209338807, 0.15860928296106014, 0.14844759299899257, 0.11304996565766853, -0.17975204124958558, 0.05771541442155849, -0.0751166893830578, 0.14317216547898337, 0.04617082606312218, 0.036492982201454555, 0.24035435322859494, 0.14502664861963654, 0.05151298557154658, 0.08838248806633606, -0.10148892126227976, -0.08767134822097734, -0.2774654596922754, -0.1926415079661105, -0.15131149623272996, 0.08833309556784648, -0.08265394540257358, -0.18227170594587658, 0.3821894798273518, 0.13636105442309432, 0.2288374566313254, -0.020320875466161976, 0.2717375980480712, 0.1690991892783831, 0.07021601196997056, 0.02632093349659055, 0.27773507247739554, 0.12960419728222286, 0.11946889456945675, -0.23892166510020443, 0.05339334108839197, 0.060854436198701345]
709.0937
On the reliability of linear band structure methods
We discuss an efficiency of various band structure algorithms in determining the Fermi surface (FS) of the paramagnetic ErGa3. The linear muffin-tin orbital (LMTO) in the atomic sphere approximation (ASA) method and three full potential (FP) codes: FP-LMTO, FP linear augmented plane wave (FLAPW), and FP local orbitals (FPLO) methods are employed. Results are compared with electron-positron (e-p) momentum densities reconstructed from two dimensional angular correlation of annihilation radiation (2D ACAR). Unexpectedly, none of used modern FP codes is able to give satisfying description of the experimental data that are in perfect agreement with LMTO-ASA results. We suspect that it can be connected with a different choice of the linearization energy.
cond-mat.mtrl-sci cond-mat.str-el
we discuss an efficiency of various band structure algorithms in determining the fermi surface fs of the paramagnetic erga3 the linear muffintin orbital lmto in the atomic sphere approximation asa method and three full potential fp codes fplmto fp linear augmented plane wave flapw and fp local orbitals fplo methods are employed results are compared with electronpositron ep momentum densities reconstructed from two dimensional angular correlation of annihilation radiation 2d acar unexpectedly none of used modern fp codes is able to give satisfying description of the experimental data that are in perfect agreement with lmtoasa results we suspect that it can be connected with a different choice of the linearization energy
[['we', 'discuss', 'an', 'efficiency', 'of', 'various', 'band', 'structure', 'algorithms', 'in', 'determining', 'the', 'fermi', 'surface', 'fs', 'of', 'the', 'paramagnetic', 'erga3', 'the', 'linear', 'muffintin', 'orbital', 'lmto', 'in', 'the', 'atomic', 'sphere', 'approximation', 'asa', 'method', 'and', 'three', 'full', 'potential', 'fp', 'codes', 'fplmto', 'fp', 'linear', 'augmented', 'plane', 'wave', 'flapw', 'and', 'fp', 'local', 'orbitals', 'fplo', 'methods', 'are', 'employed', 'results', 'are', 'compared', 'with', 'electronpositron', 'ep', 'momentum', 'densities', 'reconstructed', 'from', 'two', 'dimensional', 'angular', 'correlation', 'of', 'annihilation', 'radiation', '2d', 'acar', 'unexpectedly', 'none', 'of', 'used', 'modern', 'fp', 'codes', 'is', 'able', 'to', 'give', 'satisfying', 'description', 'of', 'the', 'experimental', 'data', 'that', 'are', 'in', 'perfect', 'agreement', 'with', 'lmtoasa', 'results', 'we', 'suspect', 'that', 'it', 'can', 'be', 'connected', 'with', 'a', 'different', 'choice', 'of', 'the', 'linearization', 'energy']]
[-0.12877263267815045, 0.05905677639324444, -0.09719772360484125, 0.1142860788802847, -0.03901018633575546, -0.10967552803302986, -0.014244661480615583, 0.4102403490778503, -0.24777795608932957, -0.2811783854465146, -0.006903656500972671, -0.29654155322136955, -0.09186396870223823, 0.227813396637046, 0.041184466186945046, 0.09507455150468634, 0.08968905821132742, -0.04098024836809742, -0.1434218151998971, -0.2472410855340609, 0.28848434561743924, 0.06638519631681639, 0.2692525292225524, -0.0015220629273478045, 0.06415912461090073, 0.053080458935230564, 0.0006671809258127432, 0.04762931714056555, -0.14327091917915188, 0.11738195018832136, 0.2930959120409888, 0.05432859575803127, 0.18959994479338851, -0.4370569485248229, -0.16699167923284097, 0.025310513700162053, 0.12115279734006511, 0.12577125209238416, -0.05856218498089103, -0.22433131916551005, 0.0612873404047563, -0.1565318635126593, -0.14791137097967327, -0.0866304005607279, -0.03871610148066501, 0.06512914544586605, -0.2431105239975796, 0.07649106434930902, 0.025598126959158193, 0.04890556207969101, -0.12086451177938132, -0.1723881312688693, -0.07050467475313146, 0.04143892623347427, 0.0006172071454550968, 0.08382726016180983, 0.09856613556247786, -0.06874462320564642, -0.11773196059447892, 0.42540803453842296, -0.04636227884201692, -0.2040003501754596, 0.18441873008744158, -0.14705434800424708, -0.05801203517550859, 0.19180129309090863, 0.13424556170923446, 0.055251006237786573, -0.10448033871490149, 0.13390607355961387, -0.04313272070670992, 0.17230917459541778, 0.09373464160641536, 0.05542205349234341, 0.1791563069089017, 0.10211523087404736, 0.026232415318933375, 0.05469666707538786, -0.1589462626575911, -0.08611934183490112, -0.26505308528644367, -0.11446379886410378, -0.19774420530035441, 0.0020006859589340336, -0.08391319876595468, -0.15075355897221818, 0.3863010420763028, 0.11933562491642345, 0.15783724038425936, 0.0016173186600891823, 0.28398531065493343, 0.13769494296145549, 0.0576081085104256, 0.08790376897337376, 0.2626235969300561, 0.15473049890181614, 0.026796927120228974, -0.26954713743393643, -0.018759356828731134, 0.07349031928439684]
709.0938
Half-metallic graphene nanodots
A comprehensive first-principles theoretical study of the electronic properties and half-metallic nature of finite rectangular graphene nanoribbons is presented. We identify the bisanthrene isomer of the C28H14 molecule to be the smallest polycyclic aromatic hydrocarbon to present a spin polarized ground state. Even at this quantum dot level, the spins are predicted to be aligned antiferromagnetically at the two zigzag edges of the molecule. As a rule of thumb, we find that zigzag edges that are at least three consecutive units long, will present spin polarization if the width of the system is 1 nm or wider. Room temperature detectability of the magnetic ordering is predicted for molecules with zigzag edges 1 nm and longer. For the longer systems studied, spin wave structures appear in some high spin multiplicity states. Energy gap oscillations with the length of the zigzag edge are observed. The amplitude of these oscillations is found to be smaller than that predicted for infinite ribbons. The half-metallic nature of the ribbons under an external in-plane electric field is found to be preserved even for finite and extremely short systems.
cond-mat.mtrl-sci cond-mat.other
a comprehensive firstprinciples theoretical study of the electronic properties and halfmetallic nature of finite rectangular graphene nanoribbons is presented we identify the bisanthrene isomer of the c28h14 molecule to be the smallest polycyclic aromatic hydrocarbon to present a spin polarized ground state even at this quantum dot level the spins are predicted to be aligned antiferromagnetically at the two zigzag edges of the molecule as a rule of thumb we find that zigzag edges that are at least three consecutive units long will present spin polarization if the width of the system is 1 nm or wider room temperature detectability of the magnetic ordering is predicted for molecules with zigzag edges 1 nm and longer for the longer systems studied spin wave structures appear in some high spin multiplicity states energy gap oscillations with the length of the zigzag edge are observed the amplitude of these oscillations is found to be smaller than that predicted for infinite ribbons the halfmetallic nature of the ribbons under an external inplane electric field is found to be preserved even for finite and extremely short systems
[['a', 'comprehensive', 'firstprinciples', 'theoretical', 'study', 'of', 'the', 'electronic', 'properties', 'and', 'halfmetallic', 'nature', 'of', 'finite', 'rectangular', 'graphene', 'nanoribbons', 'is', 'presented', 'we', 'identify', 'the', 'bisanthrene', 'isomer', 'of', 'the', 'c28h14', 'molecule', 'to', 'be', 'the', 'smallest', 'polycyclic', 'aromatic', 'hydrocarbon', 'to', 'present', 'a', 'spin', 'polarized', 'ground', 'state', 'even', 'at', 'this', 'quantum', 'dot', 'level', 'the', 'spins', 'are', 'predicted', 'to', 'be', 'aligned', 'antiferromagnetically', 'at', 'the', 'two', 'zigzag', 'edges', 'of', 'the', 'molecule', 'as', 'a', 'rule', 'of', 'thumb', 'we', 'find', 'that', 'zigzag', 'edges', 'that', 'are', 'at', 'least', 'three', 'consecutive', 'units', 'long', 'will', 'present', 'spin', 'polarization', 'if', 'the', 'width', 'of', 'the', 'system', 'is', '1', 'nm', 'or', 'wider', 'room', 'temperature', 'detectability', 'of', 'the', 'magnetic', 'ordering', 'is', 'predicted', 'for', 'molecules', 'with', 'zigzag', 'edges', '1', 'nm', 'and', 'longer', 'for', 'the', 'longer', 'systems', 'studied', 'spin', 'wave', 'structures', 'appear', 'in', 'some', 'high', 'spin', 'multiplicity', 'states', 'energy', 'gap', 'oscillations', 'with', 'the', 'length', 'of', 'the', 'zigzag', 'edge', 'are', 'observed', 'the', 'amplitude', 'of', 'these', 'oscillations', 'is', 'found', 'to', 'be', 'smaller', 'than', 'that', 'predicted', 'for', 'infinite', 'ribbons', 'the', 'halfmetallic', 'nature', 'of', 'the', 'ribbons', 'under', 'an', 'external', 'inplane', 'electric', 'field', 'is', 'found', 'to', 'be', 'preserved', 'even', 'for', 'finite', 'and', 'extremely', 'short', 'systems']]
[-0.2117793807035519, 0.222812615880927, -0.010120114430578218, 0.060381565468075375, -0.015932456376807142, -0.16157753585786042, 0.026457499331122056, 0.4763715477453338, -0.26989015210549244, -0.28804971603676677, 0.03965922768628742, -0.30473262866338097, -0.06049014694031535, 0.1384947959631164, 0.08243948519100538, 0.0009917365982093744, 0.05570129458145756, 0.0036442086165253485, -0.05554624129630004, -0.21038929472366968, 0.22358868338625243, 0.03168501025777207, 0.25528666742870376, 0.09095899009035849, 0.00991030218752308, -0.01884104508596162, 0.12037811703307347, 0.03104869629152947, -0.13218409282283877, 0.07860047873206592, 0.260480341874063, -0.08218595608034068, 0.18527320408158832, -0.45893226884719396, -0.16018453080194175, 0.03805074567466767, 0.12786959550317584, 0.1711045043853422, 0.0200559748857308, -0.2604644038610988, 0.1479782955850371, -0.11092168903495703, -0.13148962218935292, -0.030837894645002153, 0.058803854537998426, 0.0011862785697707699, -0.20781012468893703, 0.0809569687576085, 0.07249560674988768, 0.08982177515928116, -0.06092789809271279, -0.18089351008788476, -0.11050552690608634, 0.06054774857152046, 0.052246973930030235, 0.02255059636615139, 0.16350623068606687, -0.11115521779283881, -0.14188388593287932, 0.38017614991145415, -0.056723997807017035, -0.09100167233910826, 0.15919181096057097, -0.20153698605233028, -0.08932316874723054, 0.1918167729784424, 0.07453032915169994, 0.12045831949087894, -0.11492345673549506, 0.027718175605211098, -0.03820396473626412, 0.1939192210194758, 0.08310577712383949, 0.10925268481692506, 0.29189357575960456, 0.16995484243703282, 0.09293982668055428, 0.14872658771411, -0.129975807016793, -0.030555428120876766, -0.22237764810108476, -0.16639200503575718, -0.2144827512299849, 0.08116850592220241, -0.04239321256083915, -0.20741616713090075, 0.4205538852528358, 0.12757775859338127, 0.17055923527417083, 0.007134154607127938, 0.22886012964105854, 0.11172732788642557, 0.07873269888805226, 0.05021567928229666, 0.23658104645065678, 0.16955521400668658, 0.04773268913785513, -0.2560815938256888, 0.0634991362739432, -0.03463042800625165]
709.0939
Dimension Six Corrections to the Vector Sector of AdS/QCD Model
We study the effects of dimension six terms on the predictions of the holographic model for the vector meson form factors and determine the corrections to the electric radius, the magnetic and the quadrupole moments of the rho-meson. We show that the only dimension six terms which contribute nontrivially to the vector meson form factors are X^2F^2 and F^3. It appears that the effect from the former term is equivalent to the metric deformation and can change only masses, decay constants and charge radii of vector mesons, leaving the magnetic and the quadrupole moments intact. The latter term gives different contributions to the three form factors of the vector meson and changes the values of the magnetic and the quadrupole moments. The results suggest that the addition of the higher dimension terms improves the holographic model.
hep-ph
we study the effects of dimension six terms on the predictions of the holographic model for the vector meson form factors and determine the corrections to the electric radius the magnetic and the quadrupole moments of the rhomeson we show that the only dimension six terms which contribute nontrivially to the vector meson form factors are x2f2 and f3 it appears that the effect from the former term is equivalent to the metric deformation and can change only masses decay constants and charge radii of vector mesons leaving the magnetic and the quadrupole moments intact the latter term gives different contributions to the three form factors of the vector meson and changes the values of the magnetic and the quadrupole moments the results suggest that the addition of the higher dimension terms improves the holographic model
[['we', 'study', 'the', 'effects', 'of', 'dimension', 'six', 'terms', 'on', 'the', 'predictions', 'of', 'the', 'holographic', 'model', 'for', 'the', 'vector', 'meson', 'form', 'factors', 'and', 'determine', 'the', 'corrections', 'to', 'the', 'electric', 'radius', 'the', 'magnetic', 'and', 'the', 'quadrupole', 'moments', 'of', 'the', 'rhomeson', 'we', 'show', 'that', 'the', 'only', 'dimension', 'six', 'terms', 'which', 'contribute', 'nontrivially', 'to', 'the', 'vector', 'meson', 'form', 'factors', 'are', 'x2f2', 'and', 'f3', 'it', 'appears', 'that', 'the', 'effect', 'from', 'the', 'former', 'term', 'is', 'equivalent', 'to', 'the', 'metric', 'deformation', 'and', 'can', 'change', 'only', 'masses', 'decay', 'constants', 'and', 'charge', 'radii', 'of', 'vector', 'mesons', 'leaving', 'the', 'magnetic', 'and', 'the', 'quadrupole', 'moments', 'intact', 'the', 'latter', 'term', 'gives', 'different', 'contributions', 'to', 'the', 'three', 'form', 'factors', 'of', 'the', 'vector', 'meson', 'and', 'changes', 'the', 'values', 'of', 'the', 'magnetic', 'and', 'the', 'quadrupole', 'moments', 'the', 'results', 'suggest', 'that', 'the', 'addition', 'of', 'the', 'higher', 'dimension', 'terms', 'improves', 'the', 'holographic', 'model']]
[-0.11935565874877352, 0.2010857679312014, -0.028365212527138216, 0.0910014664452454, -0.06261726624021928, -0.046238590438884716, 0.01318786365876871, 0.29302783048263303, -0.21580837524185578, -0.25663518508620287, 0.009729327618454893, -0.3123313519965719, -0.11337009263742301, 0.11389145744895493, 0.06318199911879169, -0.009339327479742848, 0.003080640790156192, 0.12629886184025693, -0.10411853254082855, -0.24187796029469205, 0.3787455354058356, 0.013399957334277806, 0.27278935823727535, 0.1236203159481563, 0.07587156537230368, -0.01611490456249427, 0.0114301311335078, 0.011902652053093469, -0.11220745305197649, 0.12405736047598852, 0.12930663477767396, 0.054830511340319556, 0.14638683800413102, -0.3715472457723485, -0.15322962742712762, 0.10231812426268502, 0.12656429111095213, 0.11966846219384698, 0.03750516175792587, -0.2659073667436907, 0.0717562710491216, -0.15591636175220763, -0.1468304911352418, -0.1578643381695858, 0.018801297068043992, -0.005660818111910312, -0.3306390412358774, 0.08631522504750777, 0.07141736481959621, 0.008274254057970313, -0.13848957685339783, -0.2011179503156907, -0.022162212572853873, 0.13862584683509474, 0.16475059360058772, 0.0951567024803134, 0.16987912922545714, -0.16572714412748746, -0.08178804825508484, 0.39532224460401466, -0.08162715557824682, -0.2153132163402107, 0.10085038953909167, -0.21527906038832886, -0.08196262975257856, 0.11159061134137489, 0.16378405058273562, 0.09347760863451253, -0.12021070152038225, 0.0864067630117966, 0.005520382802071119, 0.1710375176259765, 0.06051193576099144, 0.08127101838105806, 0.18808456700364196, 0.04822388878609571, -0.016107400555025648, 0.11161362914609964, -0.10285019358033659, -0.0747324806396608, -0.339585471291233, -0.14461359956336242, -0.11401311892464205, 0.020538761359811933, -0.14878208247720506, -0.13059298191564503, 0.4343011592083645, 0.07675012053438911, 0.23402950762322655, 0.01611579087200678, 0.30904480968774467, 0.1282270360186144, 0.12511581883731263, 0.0778403368519826, 0.3059628115363281, 0.18909093148109538, 0.09897656872420123, -0.30659607502769815, 0.03126402167189452, 0.09906083959741173]
709.094
Coherent network analysis for triggered gravitational wave burst searches
Searches for gravitational wave bursts that are triggered by the observation of astronomical events require a different mode of analysis than all-sky, blind searches. For one, much more prior information is usually available in a triggered search which can and should be used in the analysis. Second, since the data volume is usually small in a triggered search, it is also possible to use computationally more expensive algorithms for tasks such as data pre-processing that can consume significant computing resources in a high data-volume un-triggered search. From the statistical point of view, the reduction in the parameter space search volume leads to higher sensitivity than an un-triggered search. We describe here a data analysis pipeline for triggered searches, called {\tt RIDGE}, and present preliminary results for simulated noise and signals.
gr-qc
searches for gravitational wave bursts that are triggered by the observation of astronomical events require a different mode of analysis than allsky blind searches for one much more prior information is usually available in a triggered search which can and should be used in the analysis second since the data volume is usually small in a triggered search it is also possible to use computationally more expensive algorithms for tasks such as data preprocessing that can consume significant computing resources in a high datavolume untriggered search from the statistical point of view the reduction in the parameter space search volume leads to higher sensitivity than an untriggered search we describe here a data analysis pipeline for triggered searches called tt ridge and present preliminary results for simulated noise and signals
[['searches', 'for', 'gravitational', 'wave', 'bursts', 'that', 'are', 'triggered', 'by', 'the', 'observation', 'of', 'astronomical', 'events', 'require', 'a', 'different', 'mode', 'of', 'analysis', 'than', 'allsky', 'blind', 'searches', 'for', 'one', 'much', 'more', 'prior', 'information', 'is', 'usually', 'available', 'in', 'a', 'triggered', 'search', 'which', 'can', 'and', 'should', 'be', 'used', 'in', 'the', 'analysis', 'second', 'since', 'the', 'data', 'volume', 'is', 'usually', 'small', 'in', 'a', 'triggered', 'search', 'it', 'is', 'also', 'possible', 'to', 'use', 'computationally', 'more', 'expensive', 'algorithms', 'for', 'tasks', 'such', 'as', 'data', 'preprocessing', 'that', 'can', 'consume', 'significant', 'computing', 'resources', 'in', 'a', 'high', 'datavolume', 'untriggered', 'search', 'from', 'the', 'statistical', 'point', 'of', 'view', 'the', 'reduction', 'in', 'the', 'parameter', 'space', 'search', 'volume', 'leads', 'to', 'higher', 'sensitivity', 'than', 'an', 'untriggered', 'search', 'we', 'describe', 'here', 'a', 'data', 'analysis', 'pipeline', 'for', 'triggered', 'searches', 'called', 'tt', 'ridge', 'and', 'present', 'preliminary', 'results', 'for', 'simulated', 'noise', 'and', 'signals']]
[-0.09012925557525063, 0.10098778186178704, -0.09848733873705762, 0.131768302550691, -0.13813146099072787, -0.11259906016680044, 0.07499755204514448, 0.37567102325026147, -0.2141689561422943, -0.3645602831862463, 0.17392258191131085, -0.2898324698772888, -0.11443409010183153, 0.2693926022305016, 6.225036616011183e-05, 0.03196633826623591, 0.12162323768048497, 0.005165917174385268, -0.06555684735004018, -0.18633823950825504, 0.23089561009032347, 0.14212999209155178, 0.25162145515990464, -0.02326316816024771, 0.03318237122455107, 0.003534654063324249, -0.145641199721009, -0.005693786557585131, -0.08486777041236014, 0.07440024642129392, 0.3098779595673604, 0.19898462008825654, 0.2670447464469214, -0.41025799993685513, -0.21106912023857122, 0.1853541762950693, 0.1624569730569659, 0.11740290144974612, -0.11046075540014486, -0.29642083268439356, 0.07340407140134264, -0.15099482025315827, -0.060163878164319104, -0.11901115244182274, 0.02537042026176991, -0.007562871672241955, -0.28035154117112476, 0.07089573093450831, 0.015388222512348677, 0.036268879984353866, -0.01573026781656252, -0.09251325732717912, 0.007930112742753915, 0.058974323613756846, 0.03906555576863619, 0.09063773667674455, 0.14799965093229978, -0.15919322043281886, -0.14637293727245443, 0.40081221717518084, -0.053295964544120986, -0.15883357188657157, 0.20845456933963669, -0.12437331846503671, -0.21192613459921392, 0.2056949647421436, 0.2319117589301408, 0.11498043686512482, -0.18801985033462906, -0.01567939233329046, 0.037375136574684255, 0.2140403564799624, 0.026537404350517678, 0.04660858892178697, 0.19814544478286952, 0.24189835464466333, 0.09499319221160209, 0.1275988416529672, -0.172593935132893, -0.043107260004599225, -0.2817997741959664, -0.1294304216736314, -0.22194782511557654, -0.012812836125132974, -0.04675261238050672, -0.11331994602702154, 0.34801689123503804, 0.1779860627093865, 0.17254556153085113, 0.005680643477794793, 0.3322250921524657, 0.07529302599818208, 0.13482112786191147, 0.06552419806253021, 0.25945924445734064, -0.009610501448298956, 0.12892828274936985, -0.11363507301908514, 0.06947135479124479, -0.007492390515412702]
709.0941
Ettore Majorana's Inaugural Lecture on Theoretical Physics (Naples, Italy; Jan.13, 1938)
Ettore Majorana was a member of Enrico Fermi's research group in Rome, Italy. Fermi did regard Majorana as much brihter than himself as far as theoretical physics was concerned (more information can be found particularly in the arXives' e-print physics/9810023, in Italian, and refs therein, and also in the recent multilanguage arXiv:0708.2855v1 [physics.hist-ph]). In 1937 Majorana partecipated in the national Italian competition, for a chair in theoretical phyics, requested by Emilio Segre' at that time at Palermo University: Other competitors being GC.Wick, G.Racah, and G.Gentile jr. After a proposal of the judging Commette, chaired by E.Fermi, Majorana got a full-professorship at Naples University, for exceptional scientific merits, outside the competition normal procedures. In this e-print we make known the notes prepared by Majorana for his Inaugural Lecture (and discovered long ago, in 1973, by one of the present editors (ER)),together with some comments of ours: everything being both in English (first article) and in Italian (second article, with a short Bibliography at its end). The present articles have been prepared on the occasion of the Centenary (2006) of Majorana's birth. The preliminary notes for his Inaugural Lecture reveal Majorana's interest not only for scientific research, but also for the best didactical methods to be followed in order to teach classical and quantum physics in the most effective way (while his approach to Special Relativity is known to us from his lecture notes, published elesewhere). P.S.: Il Riassunto in Italiano appare all'inizio della versione italiana.
physics.hist-ph physics.ed-ph
ettore majorana was a member of enrico fermis research group in rome italy fermi did regard majorana as much brihter than himself as far as theoretical physics was concerned more information can be found particularly in the arxives eprint physics9810023 in italian and refs therein and also in the recent multilanguage arxiv07082855v1 physicshistph in 1937 majorana partecipated in the national italian competition for a chair in theoretical phyics requested by emilio segre at that time at palermo university other competitors being gcwick gracah and ggentile jr after a proposal of the judging commette chaired by efermi majorana got a fullprofessorship at naples university for exceptional scientific merits outside the competition normal procedures in this eprint we make known the notes prepared by majorana for his inaugural lecture and discovered long ago in 1973 by one of the present editors ertogether with some comments of ours everything being both in english first article and in italian second article with a short bibliography at its end the present articles have been prepared on the occasion of the centenary 2006 of majoranas birth the preliminary notes for his inaugural lecture reveal majoranas interest not only for scientific research but also for the best didactical methods to be followed in order to teach classical and quantum physics in the most effective way while his approach to special relativity is known to us from his lecture notes published elesewhere ps il riassunto in italiano appare allinizio della versione italiana
[['ettore', 'majorana', 'was', 'a', 'member', 'of', 'enrico', 'fermis', 'research', 'group', 'in', 'rome', 'italy', 'fermi', 'did', 'regard', 'majorana', 'as', 'much', 'brihter', 'than', 'himself', 'as', 'far', 'as', 'theoretical', 'physics', 'was', 'concerned', 'more', 'information', 'can', 'be', 'found', 'particularly', 'in', 'the', 'arxives', 'eprint', 'physics9810023', 'in', 'italian', 'and', 'refs', 'therein', 'and', 'also', 'in', 'the', 'recent', 'multilanguage', 'arxiv07082855v1', 'physicshistph', 'in', '1937', 'majorana', 'partecipated', 'in', 'the', 'national', 'italian', 'competition', 'for', 'a', 'chair', 'in', 'theoretical', 'phyics', 'requested', 'by', 'emilio', 'segre', 'at', 'that', 'time', 'at', 'palermo', 'university', 'other', 'competitors', 'being', 'gcwick', 'gracah', 'and', 'ggentile', 'jr', 'after', 'a', 'proposal', 'of', 'the', 'judging', 'commette', 'chaired', 'by', 'efermi', 'majorana', 'got', 'a', 'fullprofessorship', 'at', 'naples', 'university', 'for', 'exceptional', 'scientific', 'merits', 'outside', 'the', 'competition', 'normal', 'procedures', 'in', 'this', 'eprint', 'we', 'make', 'known', 'the', 'notes', 'prepared', 'by', 'majorana', 'for', 'his', 'inaugural', 'lecture', 'and', 'discovered', 'long', 'ago', 'in', '1973', 'by', 'one', 'of', 'the', 'present', 'editors', 'ertogether', 'with', 'some', 'comments', 'of', 'ours', 'everything', 'being', 'both', 'in', 'english', 'first', 'article', 'and', 'in', 'italian', 'second', 'article', 'with', 'a', 'short', 'bibliography', 'at', 'its', 'end', 'the', 'present', 'articles', 'have', 'been', 'prepared', 'on', 'the', 'occasion', 'of', 'the', 'centenary', '2006', 'of', 'majoranas', 'birth', 'the', 'preliminary', 'notes', 'for', 'his', 'inaugural', 'lecture', 'reveal', 'majoranas', 'interest', 'not', 'only', 'for', 'scientific', 'research', 'but', 'also', 'for', 'the', 'best', 'didactical', 'methods', 'to', 'be', 'followed', 'in', 'order', 'to', 'teach', 'classical', 'and', 'quantum', 'physics', 'in', 'the', 'most', 'effective', 'way', 'while', 'his', 'approach', 'to', 'special', 'relativity', 'is', 'known', 'to', 'us', 'from', 'his', 'lecture', 'notes', 'published', 'elesewhere', 'ps', 'il', 'riassunto', 'in', 'italiano', 'appare', 'allinizio', 'della', 'versione', 'italiana']]
[-0.037146500058118335, 0.12136259850513141, -0.1045449302840864, 0.08977546001577091, -0.13396679309469253, -0.17598741356584377, 0.06877654293190086, 0.2726648505600464, -0.14871081489536864, -0.3572795852555133, 0.103469986259616, -0.3314237400541676, -0.11045286851918822, 0.20521526697282902, -0.14538179517532476, -0.038024724192467954, 0.06094688928470536, 0.03935869980306572, -0.031171446553264707, -0.3771143494419869, 0.24444745939660117, 0.14488658633674842, 0.2743217740177409, 0.059949687878829, 0.04990859479566133, 0.0018428581912684615, -0.06595111909824704, -0.0813090895118566, -0.11474632299277046, 0.09098022907370433, 0.3645089422027259, 0.1304741119976078, 0.3428535177128381, -0.4158479830160672, -0.0949428239034074, -0.017124140168454774, 0.07863852153247523, 0.09752070252970674, -0.025019289480177096, -0.37877842949857876, 0.00999715805915896, -0.2068432512058669, -0.11652224068631577, 0.01180480417945955, 0.0787716950249236, -0.035880702812332396, -0.10783123926769975, 0.029932403246242772, 0.052914287088190785, 0.1338416134641713, 0.0136001824547982, -0.19482408708071247, 0.036665915580860756, 0.11454177702427333, 0.05591592681136665, 0.054710373176692875, 0.03808231351886445, -0.11357303379371958, -0.14455908483126115, 0.38282170990663966, -0.04904967802019109, -0.04983792578350086, 0.15406676229012228, -0.14951210968474976, -0.18350791345110495, 0.04075946586102849, 0.13401481670665039, 0.08170839857846889, -0.17722569534648616, 0.09229797515946982, -0.051147519105317896, 0.10821182660145409, 0.11404851747587258, -0.03266361592374091, 0.22325424378632067, 0.14186474815922012, -0.03467633665283109, 0.054483203893765306, -0.009670093750141918, -0.08383445990552484, -0.2844548198357875, -0.20504438341595232, -0.19578725076267825, 0.04719583320185617, 0.11120180330454274, -0.08629827008188161, 0.415685757892979, 0.14210879479969066, 0.08446936841594568, -0.031539767850434414, 0.19706386497321002, -0.018296588620467836, 0.01357474431889152, 0.07928573424260917, 0.24914583517708735, 0.0780156556594157, 0.21961375028118654, -0.10027930683033912, 0.06411219139809123, 0.1031836729565855]
709.0942
Matters of Gravity, The Newsletter of the Topical Group in Gravitation of the American Physical Society, Volume 30, Fall 2007
GGR News: -we hear that..., by David Garfinkle -News from the GRG Society, by Abhay Ashtekar -LIGO/GEO/Virgo work together, by Peter Saulson -GWIC Ten Years on, by Stan Whitcomb Research Briefs: -Quasi-local energy, by Bjoern S. Schmekel -The current status of cosmic strings, by Patrick Peter -Gravitational waves from `mountains' on neutron stars, by Ian Jones Conference reports: -GR18/Amaldi 2007 in Sydney, by Jorge Pullin -Synergy in Singularities? by Don Marolf -Gravitation and the Cosmos, by Derek Fox and Parampreet Singh -NumRel meets PN, by Buonanno et al -SaulFest, by Greg Cook -3rd Gulf Coast Gravity Conference, by Vitor Cardoso
gr-qc
ggr news we hear that by david garfinkle news from the grg society by abhay ashtekar ligogeovirgo work together by peter saulson gwic ten years on by stan whitcomb research briefs quasilocal energy by bjoern s schmekel the current status of cosmic strings by patrick peter gravitational waves from mountains on neutron stars by ian jones conference reports gr18amaldi 2007 in sydney by jorge pullin synergy in singularities by don marolf gravitation and the cosmos by derek fox and parampreet singh numrel meets pn by buonanno et al saulfest by greg cook 3rd gulf coast gravity conference by vitor cardoso
[['ggr', 'news', 'we', 'hear', 'that', 'by', 'david', 'garfinkle', 'news', 'from', 'the', 'grg', 'society', 'by', 'abhay', 'ashtekar', 'ligogeovirgo', 'work', 'together', 'by', 'peter', 'saulson', 'gwic', 'ten', 'years', 'on', 'by', 'stan', 'whitcomb', 'research', 'briefs', 'quasilocal', 'energy', 'by', 'bjoern', 's', 'schmekel', 'the', 'current', 'status', 'of', 'cosmic', 'strings', 'by', 'patrick', 'peter', 'gravitational', 'waves', 'from', 'mountains', 'on', 'neutron', 'stars', 'by', 'ian', 'jones', 'conference', 'reports', 'gr18amaldi', '2007', 'in', 'sydney', 'by', 'jorge', 'pullin', 'synergy', 'in', 'singularities', 'by', 'don', 'marolf', 'gravitation', 'and', 'the', 'cosmos', 'by', 'derek', 'fox', 'and', 'parampreet', 'singh', 'numrel', 'meets', 'pn', 'by', 'buonanno', 'et', 'al', 'saulfest', 'by', 'greg', 'cook', '3rd', 'gulf', 'coast', 'gravity', 'conference', 'by', 'vitor', 'cardoso']]
[-0.09714121031728419, 0.1479496008788164, -0.08130230343962026, 0.024997664697386405, -0.16855044827213164, -0.06722993174936254, 0.050293917481142744, 0.19341981662744348, -0.08249581192241429, -0.4021705081993407, 0.06148880593329003, -0.35440309484908866, -0.18609195771616893, 0.196234469542505, -0.2077277323005946, -0.03691759034684235, 0.043352789092031156, -0.1274036412424111, 0.08331685054504855, -0.39127270177973866, 0.29515865008259745, 0.2171165605976277, 0.2562723795443282, 0.02375130713047398, 0.06233287654858041, 0.07914589279699702, -0.17766425496601795, -0.03802934443005002, -0.17878713768148594, 0.051740379395106666, 0.2864403193918886, 0.22605620272416663, 0.29333212425686667, -0.4132887584740644, -0.1782786500369004, -0.07856824886626922, -0.006059129827318119, -0.018089778237761214, 0.0009131375981679001, -0.48271423138186825, -0.0036815288169616527, -0.289193056134896, -0.09216372118648755, 0.055298696705754234, 0.17233299045659767, 0.03919773916637136, -0.04771571956027381, 0.09960538706522189, 0.04980453387271244, 0.10034130619593211, 0.03532547673599406, -0.16306497878139162, -0.007410785884361018, -0.03282159724743566, 0.05126032720903283, 0.16398190406591193, 0.04547434321164594, -0.07957767304621514, -0.23403922800527333, 0.26930150635806577, -0.11647646014251142, -0.0001592317789250596, 0.04058614312312924, -0.10831066204176111, -0.13048160079979226, 0.043847270330393706, 0.08486759754737, 0.07048675198565943, -0.2067085630720952, 0.20947685403171107, -0.057693976534090446, 0.061750255714446964, 0.3027852507881247, -0.21334439486387993, 0.3105759863219746, 0.021927857615442557, -0.07340634081021442, 0.0031074808455062108, -0.01863317877171909, -0.009886252029241155, -0.18278018080701047, -0.10041897458147135, -0.14509392451433525, 0.07624351233243942, 0.031659599619080915, 0.014012349544318167, 0.3343735496503311, 0.08753880925967798, 0.024337255216848392, -0.027440525959808747, 0.1803249058999367, -0.08854953943019998, -0.006947956544316404, 0.17802360044935575, 0.2650565012552581, 0.11659059375985065, 0.2538717256700313, -0.1422427941067656, 0.03319351982509533, 0.21174036618322134]
709.0943
On the Frobenius functor and colon ideals
In this paper we study the commutativity of the Frobenius functor and the colon operation of two ideals for Noetherian rings of positive characteristic $p$. New characterizations of regular rings and local UFDs are given.
math.AC
in this paper we study the commutativity of the frobenius functor and the colon operation of two ideals for noetherian rings of positive characteristic p new characterizations of regular rings and local ufds are given
[['in', 'this', 'paper', 'we', 'study', 'the', 'commutativity', 'of', 'the', 'frobenius', 'functor', 'and', 'the', 'colon', 'operation', 'of', 'two', 'ideals', 'for', 'noetherian', 'rings', 'of', 'positive', 'characteristic', 'p', 'new', 'characterizations', 'of', 'regular', 'rings', 'and', 'local', 'ufds', 'are', 'given']]
[-0.25201787826206, -0.008074988717479366, -0.04683939553797245, 0.054262981121428314, -0.033999617876751084, -0.1612796218267509, -0.10569887235428073, 0.3228089036952172, -0.4279149613210133, -0.1325705503512706, 0.0729278395185247, -0.2296796901567307, -0.09964055280600276, 0.17294755900012596, -0.16913836640971047, -0.05427822452038526, 0.0008998709863850049, 0.08351022313748087, -0.12122080927448613, -0.31906394665794713, 0.4765595242381096, -0.033691379427909854, 0.176971487740853, 0.007489959416644914, 0.0360923169446843, -0.023186316194811037, -0.06700581823076521, 0.03756676944238799, -0.24018520042300223, 0.13259441538580827, 0.32943640846226896, 0.11364875321409532, 0.24556957760027476, -0.42165430741650717, 0.02379370911845139, 0.2622062171842637, 0.11442940377497247, -0.035408301811133115, -0.04498534104121583, -0.22949169517627785, 0.20457409966204848, -0.2170560118343149, -0.09162906099643026, -0.09323635260973658, 0.13599803878792693, 0.09208007374379251, -0.3077311375311443, 0.021452448317515, 0.20906654990145138, 0.24073868178363358, -0.08785372227430344, -0.06450740205390113, -0.012226073337452752, 0.04655350076832942, -0.05653684614226222, -0.057726694640171314, 0.11147621615922877, -0.07763390600282166, -0.11297839523426124, 0.3041763676064355, -0.0262427793815732, -0.12597750487205173, 0.16139258569372553, -0.26829323430678675, -0.11675476478412747, 0.09406300280243159, 0.036530954044844424, 0.20735384236489024, -0.07255416613604342, 0.18224876456162228, -0.17462405136653356, -0.02178815252014569, 0.12658834174009306, 0.09190959754799094, 0.1567101038992405, 0.08317612696971212, 0.08504891170720968, 0.13867879319669946, -0.02726050881402833, 0.055745899264833754, -0.37964835456971613, -0.22087657462273325, -0.09212551723633494, 0.12886718335960592, -0.07582563197689264, -0.14485404235976082, 0.4965443253517151, 0.10043888060109955, 0.16236951367131303, 0.13453164837722267, 0.24042684042028017, -0.007517348176666668, 0.058076669195933, -0.017343603553516523, 0.06909049094787666, 0.268294261981334, -0.03789336598877396, -0.17937095441988538, -0.00467995282794748, 0.18018877826897162]
709.0944
An m sin i = 24 Earth Mass Planetary Companion To The Nearby M Dwarf GJ 176
We report the detection of a planetary companion with a minimum mass of m sin i = 0.0771 M_Jup = 24.5 M_Earth to the nearby (d = 9.4 pc) M2.5V star GJ 176. The star was observed as part of our M dwarf planet search at the Hobby-Eberly Telescope (HET). The detection is based on 5 years of high-precision differential radial velocity (RV) measurements using the High-Resolution-Spectrograph (HRS). The orbital period of the planet is 10.24 d. GJ 176 thus joins the small (but increasing) sample of M dwarfs hosting short-periodic planets with minimum masses in the Neptune-mass range. Low mass planets could be relatively common around M dwarfs and the current detections might represent the tip of a rocky planet population.
astro-ph
we report the detection of a planetary companion with a minimum mass of m sin i 00771 m_jup 245 m_earth to the nearby d 94 pc m25v star gj 176 the star was observed as part of our m dwarf planet search at the hobbyeberly telescope het the detection is based on 5 years of highprecision differential radial velocity rv measurements using the highresolutionspectrograph hrs the orbital period of the planet is 1024 d gj 176 thus joins the small but increasing sample of m dwarfs hosting shortperiodic planets with minimum masses in the neptunemass range low mass planets could be relatively common around m dwarfs and the current detections might represent the tip of a rocky planet population
[['we', 'report', 'the', 'detection', 'of', 'a', 'planetary', 'companion', 'with', 'a', 'minimum', 'mass', 'of', 'm', 'sin', 'i', '00771', 'm_jup', '245', 'm_earth', 'to', 'the', 'nearby', 'd', '94', 'pc', 'm25v', 'star', 'gj', '176', 'the', 'star', 'was', 'observed', 'as', 'part', 'of', 'our', 'm', 'dwarf', 'planet', 'search', 'at', 'the', 'hobbyeberly', 'telescope', 'het', 'the', 'detection', 'is', 'based', 'on', '5', 'years', 'of', 'highprecision', 'differential', 'radial', 'velocity', 'rv', 'measurements', 'using', 'the', 'highresolutionspectrograph', 'hrs', 'the', 'orbital', 'period', 'of', 'the', 'planet', 'is', '1024', 'd', 'gj', '176', 'thus', 'joins', 'the', 'small', 'but', 'increasing', 'sample', 'of', 'm', 'dwarfs', 'hosting', 'shortperiodic', 'planets', 'with', 'minimum', 'masses', 'in', 'the', 'neptunemass', 'range', 'low', 'mass', 'planets', 'could', 'be', 'relatively', 'common', 'around', 'm', 'dwarfs', 'and', 'the', 'current', 'detections', 'might', 'represent', 'the', 'tip', 'of', 'a', 'rocky', 'planet', 'population']]
[-0.18261071429311662, 0.17282583184098288, -0.02894082912875308, -0.014564473332661615, -0.15345237243297052, -0.09224741728739592, 0.13184210318298537, 0.298606690157489, -0.06944776728544068, -0.44888719862674253, 0.08351387607498031, -0.31631597657924737, -0.020008030671121207, 0.18021357368176677, -0.10940726720570129, 0.019893028479369388, 0.20297402285741864, -0.026419661118317457, -0.06038931147313787, -0.2943326371477254, 0.222782599818656, 0.04094454202153799, -0.023333983199860332, -0.04739285436245787, 0.03815634283079308, -0.09505132487106879, -0.04982112610236134, -0.13857431921287108, -0.2171207385934826, -0.005188262318971299, 0.23183581220199181, 0.11982780198124632, 0.20811965122376963, -0.2570463019120186, -0.14781937352776275, 0.04555378008586496, 0.1476913753608873, -0.04393968168425105, -0.04344577325006821, -0.2951531668146283, 0.15073036017306782, -0.20562827529314653, -0.18955146999224642, 0.12209382566319527, 0.1804840300247957, -0.017992596601735862, -0.2780070768867055, 0.11789525888260391, 0.013910469709564064, 0.1927776965233734, -0.16161968333891324, -0.21648508480008125, -0.09955774124423673, 0.01817883304872755, -0.040152306072571774, 0.09027392915903859, 0.18293717502363785, -0.01929156254519219, 0.023947698304871635, 0.3956406924052764, -0.16856345727692468, 0.036846154223401414, 0.2596722844715814, -0.2542107603118076, -0.12018966040242526, 0.14249084660807088, 0.18047122373561358, 0.1912249291584022, -0.18162507111585494, -0.006854808737644215, -0.04794711119424299, 0.2280612267490666, 0.0886332335155773, 0.06385406938784013, 0.45178975748940037, 0.1766314118532306, 0.10340912333271324, -0.04360216058557853, -0.38103657968586974, 0.022461630820328274, -0.15328219750801386, -0.15332476052621347, -0.19225446411045427, 0.08530587877020619, -0.12717798129264246, -0.06253944226872113, 0.32954451578306193, 0.09020256334165963, 0.2132638777069495, 0.03976685616732338, 0.27399178935309587, 0.06252141833064635, 0.16147093189906395, 0.12225324683428063, 0.330874640368304, 0.2065837632043887, 0.1040780225875235, -0.2704064237048565, 0.03174570412375033, -0.03397151609188167]
709.0945
The Survival Rate of Ejected Terrestrial Planets with Moons
During planet formation, a gas giant will interact with smaller protoplanets that stray within its sphere of gravitational influence. We investigate the outcome of interactions between gas giants and terrestrial-sized protoplanets with lunar-sized companions. An interaction between a giant planet and a protoplanet binary may have one of several consequences, including the delivery of volatiles to the inner system, the capture of retrograde moons by the giant planet, and the ejection of one or both of the protoplanets. We show that an interesting fraction of terrestrial-sized planets with lunar sized companions will likely be ejected into interstellar space with the companion bound to the planet. The companion provides an additional source of heating for the planet from tidal dissipation of orbital and spin angular momentum. This heat flux typically is larger than the current radiogenic heating of the Earth for up to the first few hundred million years of evolution. In combination with an atmosphere of sufficient thickness and composition, the heating can provide the conditions necesary for liquid water to persist on the surface of the terrestrial mass planet, making it a potential site for life. We also determine the possibility for directly detecting such systems through all-sky infrared surveys or microlensing surveys. Microlensing surveys in particular will directly measure the frequency of this phenomenon.
astro-ph
during planet formation a gas giant will interact with smaller protoplanets that stray within its sphere of gravitational influence we investigate the outcome of interactions between gas giants and terrestrialsized protoplanets with lunarsized companions an interaction between a giant planet and a protoplanet binary may have one of several consequences including the delivery of volatiles to the inner system the capture of retrograde moons by the giant planet and the ejection of one or both of the protoplanets we show that an interesting fraction of terrestrialsized planets with lunar sized companions will likely be ejected into interstellar space with the companion bound to the planet the companion provides an additional source of heating for the planet from tidal dissipation of orbital and spin angular momentum this heat flux typically is larger than the current radiogenic heating of the earth for up to the first few hundred million years of evolution in combination with an atmosphere of sufficient thickness and composition the heating can provide the conditions necesary for liquid water to persist on the surface of the terrestrial mass planet making it a potential site for life we also determine the possibility for directly detecting such systems through allsky infrared surveys or microlensing surveys microlensing surveys in particular will directly measure the frequency of this phenomenon
[['during', 'planet', 'formation', 'a', 'gas', 'giant', 'will', 'interact', 'with', 'smaller', 'protoplanets', 'that', 'stray', 'within', 'its', 'sphere', 'of', 'gravitational', 'influence', 'we', 'investigate', 'the', 'outcome', 'of', 'interactions', 'between', 'gas', 'giants', 'and', 'terrestrialsized', 'protoplanets', 'with', 'lunarsized', 'companions', 'an', 'interaction', 'between', 'a', 'giant', 'planet', 'and', 'a', 'protoplanet', 'binary', 'may', 'have', 'one', 'of', 'several', 'consequences', 'including', 'the', 'delivery', 'of', 'volatiles', 'to', 'the', 'inner', 'system', 'the', 'capture', 'of', 'retrograde', 'moons', 'by', 'the', 'giant', 'planet', 'and', 'the', 'ejection', 'of', 'one', 'or', 'both', 'of', 'the', 'protoplanets', 'we', 'show', 'that', 'an', 'interesting', 'fraction', 'of', 'terrestrialsized', 'planets', 'with', 'lunar', 'sized', 'companions', 'will', 'likely', 'be', 'ejected', 'into', 'interstellar', 'space', 'with', 'the', 'companion', 'bound', 'to', 'the', 'planet', 'the', 'companion', 'provides', 'an', 'additional', 'source', 'of', 'heating', 'for', 'the', 'planet', 'from', 'tidal', 'dissipation', 'of', 'orbital', 'and', 'spin', 'angular', 'momentum', 'this', 'heat', 'flux', 'typically', 'is', 'larger', 'than', 'the', 'current', 'radiogenic', 'heating', 'of', 'the', 'earth', 'for', 'up', 'to', 'the', 'first', 'few', 'hundred', 'million', 'years', 'of', 'evolution', 'in', 'combination', 'with', 'an', 'atmosphere', 'of', 'sufficient', 'thickness', 'and', 'composition', 'the', 'heating', 'can', 'provide', 'the', 'conditions', 'necesary', 'for', 'liquid', 'water', 'to', 'persist', 'on', 'the', 'surface', 'of', 'the', 'terrestrial', 'mass', 'planet', 'making', 'it', 'a', 'potential', 'site', 'for', 'life', 'we', 'also', 'determine', 'the', 'possibility', 'for', 'directly', 'detecting', 'such', 'systems', 'through', 'allsky', 'infrared', 'surveys', 'or', 'microlensing', 'surveys', 'microlensing', 'surveys', 'in', 'particular', 'will', 'directly', 'measure', 'the', 'frequency', 'of', 'this', 'phenomenon']]
[-0.13424822882245577, 0.17290581672067948, -0.05497618450290458, 0.06115614720457775, -0.11303874595458945, -0.012088079020640878, 0.044044884573668244, 0.3405388899667319, -0.21298961144936987, -0.35418606655628876, 0.0888998000395246, -0.2903579021132616, -0.08195428647490781, 0.21693279874770968, -0.04215257591351347, 0.0001645087895286811, 0.1319678871220974, -0.028821625112052357, -0.034917213118819214, -0.27662331690242903, 0.3055057753960407, 0.10119724746882851, 0.02373596002824258, 0.0471654640109993, 0.056833004651233816, -0.06647760780463212, -0.004167994422578188, -0.08559957197555991, -0.19284845021218983, 0.05489535567155757, 0.19107703499977888, 0.13357924332322424, 0.23221794133951756, -0.43988404021446786, -0.2307093914820228, 0.07502702340526983, 0.14609467053547676, 0.05821973356245042, -0.06405132952915114, -0.2730796437954184, 0.0399177867329008, -0.2388161584258426, -0.1721722566262754, 0.03137723304179692, 0.09446394730272681, 0.01825719844579675, -0.261710000913157, 0.07275436893200264, 0.08243031483468448, 0.09537100854741279, -0.13566944661149538, -0.11290857008885766, -0.07992652487009763, 0.11070690978924895, 0.06446789339466323, 0.004530060564189456, 0.21425236737962033, -0.11128863146593578, -0.010528282242892094, 0.4067733251164819, -0.10877508851841666, -0.06708093600606188, 0.2730239453768834, -0.24561734370194202, -0.09552018895182152, 0.17872230854145316, 0.204806812967412, 0.10521041256224001, -0.19242937011416827, -0.048757079180037646, -0.005527471374113893, 0.17925083786790627, 0.10112858090311462, 0.05940661846042806, 0.434089166519427, 0.1894171517374817, 0.10741125727397238, 0.10189983636129994, -0.23205746811554703, -0.04499738912076451, -0.17665637994921485, -0.16908532205108162, -0.17402561786259677, 0.05423394391681392, -0.09911936273288015, -0.12556749627340671, 0.3185984031211985, 0.15284344397626037, 0.16937467460195685, -0.0053425661304445805, 0.31563848028349323, 0.05557639228564492, 0.12751431003440344, 0.07641019841742723, 0.3366665773223652, 0.12457217613321751, 0.08355789228266668, -0.2798843747849554, 0.09486417992170466, -0.005326400422166254]
709.0946
The Warm Spitzer Mission: Prospects for Studies of the Distant Universe
IRAC excels at detecting distant objects. Due to a combination of the shapes of the spectral energy distributions of galaxies and the low background achieved from space, IRAC reaches greater depth in comparable exposure time at 3.6 and 4.5 micron than any ground- or space-based facility currently can at 2.2 micron. Furthermore, the longer wavelengths probed by IRAC enable studies of the rest-frame optical and near-infrared light of galaxies and AGN to much higher redshift than is possible from the ground. This white paper explores the merits of different survey strategies for studying the distant universe during the warm mission. A three-tiered approach serves a wide range of science goals and uses the spacecraft effectively: 1) an ultra-deep survey of ~0.04 square degrees to a depth of ~250 hrs (in conjunction with an HST/WFC3 program), to study the Universe at 7<z<14; 2) a survey of ~2 square degrees to the GOODS depth of 20 hrs, to identify luminous galaxies at z>6 and characterize the relation between the build-up of dark matter halos and their constituent galaxies at 2<z<6, and 3) a 500 square degree survey to the SWIRE depth of 120 s, to systematically study large scale structure at 1<z<2 and characterize high redshift AGN. One or more of these programs could conceivably be implemented by the SSC, following the example of the Hubble Deep Field campaigns. As priorities in this field continuously shift it is also crucial that a fraction of the exposure time remains unassigned, thus enabling science that will reflect the frontiers of 2010 and beyond rather than those of 2007.
astro-ph
irac excels at detecting distant objects due to a combination of the shapes of the spectral energy distributions of galaxies and the low background achieved from space irac reaches greater depth in comparable exposure time at 36 and 45 micron than any ground or spacebased facility currently can at 22 micron furthermore the longer wavelengths probed by irac enable studies of the restframe optical and nearinfrared light of galaxies and agn to much higher redshift than is possible from the ground this white paper explores the merits of different survey strategies for studying the distant universe during the warm mission a threetiered approach serves a wide range of science goals and uses the spacecraft effectively 1 an ultradeep survey of 004 square degrees to a depth of 250 hrs in conjunction with an hstwfc3 program to study the universe at 7z14 2 a survey of 2 square degrees to the goods depth of 20 hrs to identify luminous galaxies at z6 and characterize the relation between the buildup of dark matter halos and their constituent galaxies at 2z6 and 3 a 500 square degree survey to the swire depth of 120 s to systematically study large scale structure at 1z2 and characterize high redshift agn one or more of these programs could conceivably be implemented by the ssc following the example of the hubble deep field campaigns as priorities in this field continuously shift it is also crucial that a fraction of the exposure time remains unassigned thus enabling science that will reflect the frontiers of 2010 and beyond rather than those of 2007
[['irac', 'excels', 'at', 'detecting', 'distant', 'objects', 'due', 'to', 'a', 'combination', 'of', 'the', 'shapes', 'of', 'the', 'spectral', 'energy', 'distributions', 'of', 'galaxies', 'and', 'the', 'low', 'background', 'achieved', 'from', 'space', 'irac', 'reaches', 'greater', 'depth', 'in', 'comparable', 'exposure', 'time', 'at', '36', 'and', '45', 'micron', 'than', 'any', 'ground', 'or', 'spacebased', 'facility', 'currently', 'can', 'at', '22', 'micron', 'furthermore', 'the', 'longer', 'wavelengths', 'probed', 'by', 'irac', 'enable', 'studies', 'of', 'the', 'restframe', 'optical', 'and', 'nearinfrared', 'light', 'of', 'galaxies', 'and', 'agn', 'to', 'much', 'higher', 'redshift', 'than', 'is', 'possible', 'from', 'the', 'ground', 'this', 'white', 'paper', 'explores', 'the', 'merits', 'of', 'different', 'survey', 'strategies', 'for', 'studying', 'the', 'distant', 'universe', 'during', 'the', 'warm', 'mission', 'a', 'threetiered', 'approach', 'serves', 'a', 'wide', 'range', 'of', 'science', 'goals', 'and', 'uses', 'the', 'spacecraft', 'effectively', '1', 'an', 'ultradeep', 'survey', 'of', '004', 'square', 'degrees', 'to', 'a', 'depth', 'of', '250', 'hrs', 'in', 'conjunction', 'with', 'an', 'hstwfc3', 'program', 'to', 'study', 'the', 'universe', 'at', '7z14', '2', 'a', 'survey', 'of', '2', 'square', 'degrees', 'to', 'the', 'goods', 'depth', 'of', '20', 'hrs', 'to', 'identify', 'luminous', 'galaxies', 'at', 'z6', 'and', 'characterize', 'the', 'relation', 'between', 'the', 'buildup', 'of', 'dark', 'matter', 'halos', 'and', 'their', 'constituent', 'galaxies', 'at', '2z6', 'and', '3', 'a', '500', 'square', 'degree', 'survey', 'to', 'the', 'swire', 'depth', 'of', '120', 's', 'to', 'systematically', 'study', 'large', 'scale', 'structure', 'at', '1z2', 'and', 'characterize', 'high', 'redshift', 'agn', 'one', 'or', 'more', 'of', 'these', 'programs', 'could', 'conceivably', 'be', 'implemented', 'by', 'the', 'ssc', 'following', 'the', 'example', 'of', 'the', 'hubble', 'deep', 'field', 'campaigns', 'as', 'priorities', 'in', 'this', 'field', 'continuously', 'shift', 'it', 'is', 'also', 'crucial', 'that', 'a', 'fraction', 'of', 'the', 'exposure', 'time', 'remains', 'unassigned', 'thus', 'enabling', 'science', 'that', 'will', 'reflect', 'the', 'frontiers', 'of', '2010', 'and', 'beyond', 'rather', 'than', 'those', 'of', '2007']]
[-0.046850348156814894, 0.13301684887393223, -0.06462498236679518, 0.0785387736429131, -0.08421112236411031, -0.07030306197171712, 0.05705684911505719, 0.41502335416896713, -0.1924138673131457, -0.3943172684505922, 0.08794866119442372, -0.2905006529940398, -0.027607343479204825, 0.1890550978133492, -0.01971313752191488, -0.032388087810891836, 0.01806190337927325, -0.08392947053951973, -0.030305645827641323, -0.31086840482248074, 0.2637865673713014, 0.12557338283318908, 0.2084248145482726, -0.02493906108053408, 0.12111045153698258, -0.020266139687493995, -0.09204679301288334, -0.013539464246705634, -0.1551970936433335, 0.07584669633357725, 0.27370803730611903, 0.14865790015465435, 0.2861178955771454, -0.34367542707152354, -0.18319933406843542, 0.11287058502109898, 0.14416627360316625, 0.046002889268043606, 0.02165889915869219, -0.27914219247460537, 0.06414693647981426, -0.13460873813903315, -0.15935535615437554, 0.04193558069494882, 0.0357321451246356, -0.002603605437400563, -0.20334723130658183, 0.07510518597980285, -0.02337601068500472, 0.1371232752118104, -0.097672080775606, -0.12850463045619342, -0.04354229056676531, 0.08639540130577046, -0.02686691487950765, 0.1033584135633224, 0.14020878882165078, -0.2056105575026739, -0.054073846146035866, 0.39312862139394394, -0.06368785903397585, 0.02831686054358167, 0.22796206826259144, -0.19669179280886973, -0.11684140586736877, 0.16375196825698754, 0.17791239958975336, 0.1057207566086635, -0.1522613912787618, 0.03326773899662691, 0.02621677079762088, 0.251008785926443, 0.06512648740096351, 0.10383858747635136, 0.30535856461216176, 0.14108348600902795, 0.09566962905360932, 0.11078341198268882, -0.22012072285467285, -0.009788767053318978, -0.2643873562908841, -0.12404735986065445, -0.15515833406287738, 0.07215686641392713, -0.10834926192570361, -0.05156613264452868, 0.3910752655849739, 0.1467369660928123, 0.18644000919351617, 0.09024463474932888, 0.30913666548462365, 0.022467121644788368, 0.12312538213691472, 0.05110629156812629, 0.2934549191697525, 0.09007978928540993, 0.11470134586260473, -0.1645502883891359, 0.0028345777361898084, -0.042974061349020855]
709.0947
A search for CO+ in planetary nebulae
We have carried out a systematic search for the molecular ion CO+ in a sample of 8 protoplanetary and planetary nebulae in order to determine the origin of the unexpectedly strong HCO+ emission previously detected in these sources. An understanding of the HCO+ chemistry may provide direct clues to the physical and chemical evolution of planetary nebulae. We find that the integrated intensity of the CO+ line may be correlated with that of HCO+, suggesting that the reaction of CO+ with molecular hydrogen may be an important formation route for HCO+ in these planetary nebulae.
astro-ph
we have carried out a systematic search for the molecular ion co in a sample of 8 protoplanetary and planetary nebulae in order to determine the origin of the unexpectedly strong hco emission previously detected in these sources an understanding of the hco chemistry may provide direct clues to the physical and chemical evolution of planetary nebulae we find that the integrated intensity of the co line may be correlated with that of hco suggesting that the reaction of co with molecular hydrogen may be an important formation route for hco in these planetary nebulae
[['we', 'have', 'carried', 'out', 'a', 'systematic', 'search', 'for', 'the', 'molecular', 'ion', 'co', 'in', 'a', 'sample', 'of', '8', 'protoplanetary', 'and', 'planetary', 'nebulae', 'in', 'order', 'to', 'determine', 'the', 'origin', 'of', 'the', 'unexpectedly', 'strong', 'hco', 'emission', 'previously', 'detected', 'in', 'these', 'sources', 'an', 'understanding', 'of', 'the', 'hco', 'chemistry', 'may', 'provide', 'direct', 'clues', 'to', 'the', 'physical', 'and', 'chemical', 'evolution', 'of', 'planetary', 'nebulae', 'we', 'find', 'that', 'the', 'integrated', 'intensity', 'of', 'the', 'co', 'line', 'may', 'be', 'correlated', 'with', 'that', 'of', 'hco', 'suggesting', 'that', 'the', 'reaction', 'of', 'co', 'with', 'molecular', 'hydrogen', 'may', 'be', 'an', 'important', 'formation', 'route', 'for', 'hco', 'in', 'these', 'planetary', 'nebulae']]
[-0.047474099078068606, 0.0554426831956095, -0.017995577592611018, 0.042596672122415746, -0.03897384856092302, -0.03438845223894245, 0.04632714700296913, 0.4439722728572394, -0.20421473599088036, -0.33484593102414356, 0.001148899232870654, -0.22025549509317466, -0.062123825077555685, 0.16542861151607022, 0.07556164906801362, -0.03509244211018085, 0.042853613040949166, -0.14952941299875658, -0.007499387451006393, -0.2183885952482294, 0.29073582118573155, 0.1356804817424793, 0.07434420230749407, 0.08936750250623414, -0.014143760448419734, -0.19955334156555565, -0.08068917689256762, -0.07160912458539793, -0.14780810258564184, 0.09869672136969472, 0.3059364772940937, 0.11610533503913566, 0.1561601702712084, -0.4700834854747212, -0.2481693632704647, 0.07580439895881634, 0.22766402210844192, 0.09924056027329674, -0.05512564645001763, -0.27223005620272533, 0.03856304971207129, -0.14478759182077883, -0.20736344665484993, 0.013332942044852596, 0.10185735301883572, 0.08093243342285093, -0.24208819980880147, 0.05678123767046552, 0.0541294584773775, 0.14927677072976764, -0.12903528931354613, -0.17569308579948387, -0.10151810567629965, 0.08981999432373988, -0.042762752681186324, 0.03275790429263572, 0.22643296307590055, -0.1100652227080182, -0.08135926945036963, 0.43393196939049583, -0.06700886908649026, -0.0446830578197382, 0.29429194563754685, -0.2232135452550689, -0.251490488285689, 0.22499411993807084, 0.1286180871293733, 0.10668582829989885, -0.16964728059737305, -0.054818574734963474, -0.040636312559639155, 0.2095958406493561, 0.05123388758664461, 0.09732841945890533, 0.3650755450325577, 0.09282522605437982, 0.05178063092508206, 0.10520223015076849, -0.2461620045923873, -0.08388029124685809, -0.20515937958108751, -0.23038145038054178, -0.11865539958602504, 0.1390032010398021, -0.11217173189721315, -0.11196181577520053, 0.2687417097438715, 0.15117194838699347, 0.19623644557830536, -0.09612923203722427, 0.25805690996348857, 0.09419990958842007, 0.05829461890419847, 0.07527418577749478, 0.3213566180122526, 0.14978676424606852, 0.14599778209077685, -0.28824434523519715, 0.168297702088756, -0.03293289978449282]
709.0948
QUBIT4MATLAB V3.0: A program package for quantum information science and quantum optics for MATLAB
A program package for MATLAB is introduced that helps calculations in quantum information science and quantum optics. It has commands for the following operations: (i) Reordering the qudits of a quantum register, computing the reduced state of a quantum register. (ii) Defining important quantum states easily. (iii) Formatted input and output for quantum states and operators. (iv) Constructing operators acting on given qudits of a quantum register and constructing spin chain Hamiltonians. (v) Partial transposition, matrix realignment and other operations related to the detection of quantum entanglement. (vi) Generating random state vectors, random density matrices and random unitaries.
quant-ph
a program package for matlab is introduced that helps calculations in quantum information science and quantum optics it has commands for the following operations i reordering the qudits of a quantum register computing the reduced state of a quantum register ii defining important quantum states easily iii formatted input and output for quantum states and operators iv constructing operators acting on given qudits of a quantum register and constructing spin chain hamiltonians v partial transposition matrix realignment and other operations related to the detection of quantum entanglement vi generating random state vectors random density matrices and random unitaries
[['a', 'program', 'package', 'for', 'matlab', 'is', 'introduced', 'that', 'helps', 'calculations', 'in', 'quantum', 'information', 'science', 'and', 'quantum', 'optics', 'it', 'has', 'commands', 'for', 'the', 'following', 'operations', 'i', 'reordering', 'the', 'qudits', 'of', 'a', 'quantum', 'register', 'computing', 'the', 'reduced', 'state', 'of', 'a', 'quantum', 'register', 'ii', 'defining', 'important', 'quantum', 'states', 'easily', 'iii', 'formatted', 'input', 'and', 'output', 'for', 'quantum', 'states', 'and', 'operators', 'iv', 'constructing', 'operators', 'acting', 'on', 'given', 'qudits', 'of', 'a', 'quantum', 'register', 'and', 'constructing', 'spin', 'chain', 'hamiltonians', 'v', 'partial', 'transposition', 'matrix', 'realignment', 'and', 'other', 'operations', 'related', 'to', 'the', 'detection', 'of', 'quantum', 'entanglement', 'vi', 'generating', 'random', 'state', 'vectors', 'random', 'density', 'matrices', 'and', 'random', 'unitaries']]
[-0.1339717800443878, 0.2348149220877308, -0.02167428997155203, 0.032118983674860956, -0.012841181002785357, -0.29567634297727263, 0.047723509566098145, 0.32333890610963717, -0.29017990324361137, -0.23677743891995323, 0.08737197603284362, -0.2807300793843306, -0.12917089881375432, 0.171898420503344, -0.031701812249779394, 0.17700959752522866, 0.08779984002229663, 0.030613439366677587, -0.12104497562704265, -0.26291910722395595, 0.288479362424387, 0.040253893415234526, 0.2474916112200566, -0.03150274424471569, 0.13347192825654483, 0.0927765996917626, -0.018624227465491514, -0.039776879980475924, -0.04393681292981919, 0.12492338152321968, 0.3264464882715624, 0.22234284954278596, 0.23319567813138878, -0.440036953084779, -0.13903096021742237, 0.061055807947960436, 0.06482935085303473, 0.20232388347729433, -0.04584528724971817, -0.3709734715473819, 0.00283714935506637, -0.19072931373434865, -0.0446732393656002, -0.12124279278986232, 0.06351182894895271, -0.05141108795259224, -0.27319710957817733, -0.0085823781294178, 0.08117454914775278, 0.07304866323228248, 0.03633497341783071, -0.0720142867530183, 0.0005853766556449082, 0.12486868824961843, -0.19671429240629457, 0.012669645082348083, 0.18323143172476972, -0.10423863703879166, -0.21520861803687044, 0.3432945579442443, 0.010554869813673502, -0.20758432173645314, 0.11782606183646285, -0.050303992477948874, -0.12422240644750394, 0.012530410194256323, 0.13180110825710378, 0.06716736663151912, -0.10159798718190619, 0.13195091205273698, 0.0058375299487700115, 0.19158009890162822, 0.04695850585074145, 0.12600926604901194, 0.1532958088661259, 0.0030112122660692856, 0.10282195430267982, 0.16717801925937684, -0.03379153047791654, -0.1802142640796718, -0.31052394808098976, -0.2456995467465295, -0.26479980329583797, 0.10107289787324868, -0.06879162881345184, -0.18752162435985342, 0.45442294481457496, 0.11520554186220078, 0.13420192338288667, 0.0029631619322664886, 0.26433944862516484, 0.15512892855236268, 0.09201819947160476, 0.10810165742545255, 0.05282681773663783, 0.2299575363333356, 0.07427630250874374, -0.24522010915988715, 0.07286541367291796, 0.10292409130904291]
709.0949
The nearby young visual binary HIP 115147 and its common proper motion companion LSPM J2322+7847
We report a late M-type, common proper motion companion to a nearby young visual binary HIP 115147 (V368 Cep), separated by 963 arcseconds from the primary K0 dwarf. This optically dim star has been identified as a candidate high proper motion, nearby dwarf LSPM J2322+7847 by L{\'e}pine in 2005. The wide companion is one of the latest post-T Tauri low mass stars found within 20 pc. We obtain a trigonometric parallax of $51.6\pm0.8$ mas, in good agreement with the Hipparcos parallax of the primary star ($50.7\pm0.6$ mas). Our $BVRI$ photometric data and near-infrared data from 2MASS are consistent with LSPM J2322+7847 being brighter by 1 magnitude in $K_s$ than field M dwarfs at $V-K_s=6.66$, which indicates its pre-main sequence status. We conclude that the most likely age of the primary HIP 115147 and its 11-arcsecond companion HIP 115147B is 20-50 Myr. The primary appears to be older than its close analog PZ Tel (age 12-20 Myr) and members of the TWA association (7 Myr).
astro-ph
we report a late mtype common proper motion companion to a nearby young visual binary hip 115147 v368 cep separated by 963 arcseconds from the primary k0 dwarf this optically dim star has been identified as a candidate high proper motion nearby dwarf lspm j23227847 by lepine in 2005 the wide companion is one of the latest postt tauri low mass stars found within 20 pc we obtain a trigonometric parallax of 516pm08 mas in good agreement with the hipparcos parallax of the primary star 507pm06 mas our bvri photometric data and nearinfrared data from 2mass are consistent with lspm j23227847 being brighter by 1 magnitude in k_s than field m dwarfs at vk_s666 which indicates its premain sequence status we conclude that the most likely age of the primary hip 115147 and its 11arcsecond companion hip 115147b is 2050 myr the primary appears to be older than its close analog pz tel age 1220 myr and members of the twa association 7 myr
[['we', 'report', 'a', 'late', 'mtype', 'common', 'proper', 'motion', 'companion', 'to', 'a', 'nearby', 'young', 'visual', 'binary', 'hip', '115147', 'v368', 'cep', 'separated', 'by', '963', 'arcseconds', 'from', 'the', 'primary', 'k0', 'dwarf', 'this', 'optically', 'dim', 'star', 'has', 'been', 'identified', 'as', 'a', 'candidate', 'high', 'proper', 'motion', 'nearby', 'dwarf', 'lspm', 'j23227847', 'by', 'lepine', 'in', '2005', 'the', 'wide', 'companion', 'is', 'one', 'of', 'the', 'latest', 'postt', 'tauri', 'low', 'mass', 'stars', 'found', 'within', '20', 'pc', 'we', 'obtain', 'a', 'trigonometric', 'parallax', 'of', '516pm08', 'mas', 'in', 'good', 'agreement', 'with', 'the', 'hipparcos', 'parallax', 'of', 'the', 'primary', 'star', '507pm06', 'mas', 'our', 'bvri', 'photometric', 'data', 'and', 'nearinfrared', 'data', 'from', '2mass', 'are', 'consistent', 'with', 'lspm', 'j23227847', 'being', 'brighter', 'by', '1', 'magnitude', 'in', 'k_s', 'than', 'field', 'm', 'dwarfs', 'at', 'vk_s666', 'which', 'indicates', 'its', 'premain', 'sequence', 'status', 'we', 'conclude', 'that', 'the', 'most', 'likely', 'age', 'of', 'the', 'primary', 'hip', '115147', 'and', 'its', '11arcsecond', 'companion', 'hip', '115147b', 'is', '2050', 'myr', 'the', 'primary', 'appears', 'to', 'be', 'older', 'than', 'its', 'close', 'analog', 'pz', 'tel', 'age', '1220', 'myr', 'and', 'members', 'of', 'the', 'twa', 'association', '7', 'myr']]
[-0.06649525958902328, 0.10714699833351336, -0.09955408351768734, 0.053481262495331944, -0.17000763180108064, -0.10957445317114092, 0.10766723633456121, 0.4216921089326809, -0.15642864907614198, -0.35866259201281486, 0.052763302096426726, -0.312368553001315, 0.01119934412603308, 0.17840632556116054, -0.19240296559792402, -0.06629984905301137, 0.21113251267107808, 0.013364643823936772, -0.0369019776532296, -0.2504655143934166, 0.21758706599939615, 0.03398236241428905, -0.0011246207712965596, -0.15447903827876802, 0.03347770797806513, -0.09060019209897917, -0.09618297507015063, -0.12528455760745202, -0.1780901854566486, -0.015329885391435425, 0.240444852662077, 0.09794651963570078, 0.21523329879566552, -0.1917903482940665, -0.13540722295022006, 0.018980473512783647, 0.19236207611200393, -0.06927590033967808, -0.056036274832714894, -0.32282660342308034, 0.1762491824805357, -0.22858330777291636, -0.1765955286664046, 0.11922857291122622, 0.1491890926763807, 0.006423117414971066, -0.21143173935947715, 0.18584943735737733, 0.007756594888076993, 0.20746762119826806, -0.1885228013882271, -0.22009594612132022, -0.05190093483283499, 0.10390760385799133, -0.01722652417945729, 0.21256984715946137, 0.10056733229393318, -0.08181892879675054, -0.04745577912033198, 0.4108295107355258, -0.0938069935034216, 0.0577868431996388, 0.27488770146089, -0.21591733695915455, -0.17286620869532607, 0.12402691435851869, 0.059968529924584235, 0.18843755009880728, -0.2619135344970473, -0.051400295992057095, 0.02967286981926982, 0.22264155518088585, 0.06715660612692072, 0.058125318278242306, 0.3730818908661604, 0.1497220126719208, -0.013116739896440487, 0.04231604662127674, -0.3046284221423416, -0.04133583421397741, -0.17018509202986765, -0.10092646233844245, -0.11330587479321488, 0.10695336310075786, -0.1714427732462308, -0.06460991583076442, 0.28279709514633866, 0.10111188542418134, 0.1774843107318731, 0.002816914875137436, 0.2951521760573504, 0.033308232292847316, 0.1496627638739338, 0.16289950440975892, 0.3523594185466742, 0.21528843545746415, 0.09484111222328773, -0.21963361738535878, 0.05488513023028992, -0.007827553740898325]
709.095
Cosmic Strings from Supersymmetric Flat Directions
Flat directions are a generic feature of the scalar potential in supersymmetric gauge field theories. They can arise, for example, from D-terms associated with an extra abelian gauge symmetry. Even when supersymmetry is broken softly, there often remain directions in the scalar field space along which the potential is almost flat. Upon breaking a gauge symmetry along one of these almost flat directions, cosmic strings may form. Relative to the standard cosmic string picture based on the abelian Higgs model, these flat-direction cosmic strings have the extreme Type-I properties of a thin gauge core surrounded by a much wider scalar field profile. We perform a comprehensive study of the microscopic, macroscopic, and observational characteristics of this class of strings. We find many differences from the standard string scenario, including stable higher winding mode strings, the dynamical formation of higher mode strings from lower ones, and a resultant multi-tension scaling string network in the early universe. These strings are only moderately constrained by current observations, and their gravitational wave signatures may be detectable at future gravity wave detectors. Furthermore, there is the interesting but speculative prospect that the decays of cosmic string loops in the early universe could be a source of ultra-high energy cosmic rays or non-thermal dark matter. We also compare the observational signatures of flat-direction cosmic strings with those of ordinary cosmic strings as well as (p,q) cosmic strings motivated by superstring theory.
hep-ph astro-ph hep-th
flat directions are a generic feature of the scalar potential in supersymmetric gauge field theories they can arise for example from dterms associated with an extra abelian gauge symmetry even when supersymmetry is broken softly there often remain directions in the scalar field space along which the potential is almost flat upon breaking a gauge symmetry along one of these almost flat directions cosmic strings may form relative to the standard cosmic string picture based on the abelian higgs model these flatdirection cosmic strings have the extreme typei properties of a thin gauge core surrounded by a much wider scalar field profile we perform a comprehensive study of the microscopic macroscopic and observational characteristics of this class of strings we find many differences from the standard string scenario including stable higher winding mode strings the dynamical formation of higher mode strings from lower ones and a resultant multitension scaling string network in the early universe these strings are only moderately constrained by current observations and their gravitational wave signatures may be detectable at future gravity wave detectors furthermore there is the interesting but speculative prospect that the decays of cosmic string loops in the early universe could be a source of ultrahigh energy cosmic rays or nonthermal dark matter we also compare the observational signatures of flatdirection cosmic strings with those of ordinary cosmic strings as well as pq cosmic strings motivated by superstring theory
[['flat', 'directions', 'are', 'a', 'generic', 'feature', 'of', 'the', 'scalar', 'potential', 'in', 'supersymmetric', 'gauge', 'field', 'theories', 'they', 'can', 'arise', 'for', 'example', 'from', 'dterms', 'associated', 'with', 'an', 'extra', 'abelian', 'gauge', 'symmetry', 'even', 'when', 'supersymmetry', 'is', 'broken', 'softly', 'there', 'often', 'remain', 'directions', 'in', 'the', 'scalar', 'field', 'space', 'along', 'which', 'the', 'potential', 'is', 'almost', 'flat', 'upon', 'breaking', 'a', 'gauge', 'symmetry', 'along', 'one', 'of', 'these', 'almost', 'flat', 'directions', 'cosmic', 'strings', 'may', 'form', 'relative', 'to', 'the', 'standard', 'cosmic', 'string', 'picture', 'based', 'on', 'the', 'abelian', 'higgs', 'model', 'these', 'flatdirection', 'cosmic', 'strings', 'have', 'the', 'extreme', 'typei', 'properties', 'of', 'a', 'thin', 'gauge', 'core', 'surrounded', 'by', 'a', 'much', 'wider', 'scalar', 'field', 'profile', 'we', 'perform', 'a', 'comprehensive', 'study', 'of', 'the', 'microscopic', 'macroscopic', 'and', 'observational', 'characteristics', 'of', 'this', 'class', 'of', 'strings', 'we', 'find', 'many', 'differences', 'from', 'the', 'standard', 'string', 'scenario', 'including', 'stable', 'higher', 'winding', 'mode', 'strings', 'the', 'dynamical', 'formation', 'of', 'higher', 'mode', 'strings', 'from', 'lower', 'ones', 'and', 'a', 'resultant', 'multitension', 'scaling', 'string', 'network', 'in', 'the', 'early', 'universe', 'these', 'strings', 'are', 'only', 'moderately', 'constrained', 'by', 'current', 'observations', 'and', 'their', 'gravitational', 'wave', 'signatures', 'may', 'be', 'detectable', 'at', 'future', 'gravity', 'wave', 'detectors', 'furthermore', 'there', 'is', 'the', 'interesting', 'but', 'speculative', 'prospect', 'that', 'the', 'decays', 'of', 'cosmic', 'string', 'loops', 'in', 'the', 'early', 'universe', 'could', 'be', 'a', 'source', 'of', 'ultrahigh', 'energy', 'cosmic', 'rays', 'or', 'nonthermal', 'dark', 'matter', 'we', 'also', 'compare', 'the', 'observational', 'signatures', 'of', 'flatdirection', 'cosmic', 'strings', 'with', 'those', 'of', 'ordinary', 'cosmic', 'strings', 'as', 'well', 'as', 'pq', 'cosmic', 'strings', 'motivated', 'by', 'superstring', 'theory']]
[-0.1787622854855851, 0.25443992681228444, -0.06440518805000962, 0.17609597039986083, -0.10489256026493943, -0.1321270243691591, -0.01719648324343193, 0.3477977426905726, -0.22613883523756048, -0.3027813286211095, 0.07554573787607126, -0.2764233406314738, -0.07509264488740322, 0.1545801764039689, 0.014390072096775994, 0.0009606519592607506, -0.004673317910080505, 0.04091162282553637, -0.04228246248820717, -0.26297879647553113, 0.3215163204098582, 0.10079288445253912, 0.279473932124137, -0.00263507701167996, 0.05294395429500116, -0.0670151326349642, -0.04727239138247748, 0.02391356974678476, -0.10143603725087333, 0.08208488178256358, 0.19360849945000014, 0.11675693522382559, 0.11067197294647081, -0.47517141894413495, -0.27128018350708577, 0.14315501463790545, 0.18846744051776254, 0.15403417529265642, -0.07604102010721277, -0.28371037720726466, 0.08033582514115116, -0.14214854257660878, -0.14060243636242345, -0.016350272765311483, -0.010768083593326533, -0.04797894794505854, -0.1818734877576164, 0.08911048095963366, -0.0071267638735522405, 0.010815957985006465, -0.06494182095421144, -0.05251826315373978, -0.041489251563922525, 0.018117647905238014, 0.17350627280797604, 0.09308571890931831, 0.1558244717416839, -0.20708391262898937, -0.14224025277763158, 0.4029557072641089, -0.1042819023764151, -0.1513851174605119, 0.17462592411081856, -0.14320447169936812, -0.1747314450908134, 0.13538000527689728, 0.11423237427758674, 0.10002848249362606, -0.11737430285450726, 0.18134758231736536, 0.004105791727276957, 0.1307960758304112, 0.11374387497273393, 0.07713144057247247, 0.39275089774726546, 0.12283961257288376, 0.03159778374202478, 0.08769440346842226, -0.044338501105532765, -0.07681295198674959, -0.3877444492501772, -0.10617847431005321, -0.10465333131256387, 0.09568365765315118, -0.13723345867411132, -0.1935340616146588, 0.3761449352187367, 0.07109991784115982, 0.1812658224047886, 0.029653196215617638, 0.22547656850109243, 0.03274483245580545, 0.048829787435670756, 0.047681711009170256, 0.27119225649457646, 0.11515479354420677, 0.0855095079845901, -0.18712484277934074, -0.0544763425897479, 0.0624972963735509]
709.0951
Three-Dimensional Simulations of Inflows Irradiated by a Precessing Accretion Disk in Active Galactic Nuclei: Formation of Outflows
We present three-dimensional (3-D) hydrodynamical simulations of gas flows in the vicinity of an active galactic nucleus (AGN) powered by a precessing accretion disk. We consider the effects of the radiation force from such a disk on its environment on a relatively large scale (up to ~10 pc. We implicitly include the precessing disk by forcing the disk radiation field to precess around a symmetry axis with a given period ($P$) and a tilt angle ($\Theta$). We study time evolution of the flows irradiated by the disk, and investigate basic dependencies of the flow morphology, mass flux, angular momentum on different combinations of $\Theta$ and $P$. We find the gas flow settles into a configuration with two components, (1) an equatorial inflow and (2) a bipolar inflow/outflow with the outflow leaving the system along the poles (the directions of disk normals). However, the flow does not always reach a steady state. We find that the maximum outflow velocity and the kinetic outflow power at the outer boundary can be reduced significantly with increasing $\Theta$. We also find that of the mass inflow rate across the inner boundary does not change significantly with increasing $\Theta$. (Abbreviated)
astro-ph
we present threedimensional 3d hydrodynamical simulations of gas flows in the vicinity of an active galactic nucleus agn powered by a precessing accretion disk we consider the effects of the radiation force from such a disk on its environment on a relatively large scale up to 10 pc we implicitly include the precessing disk by forcing the disk radiation field to precess around a symmetry axis with a given period p and a tilt angle theta we study time evolution of the flows irradiated by the disk and investigate basic dependencies of the flow morphology mass flux angular momentum on different combinations of theta and p we find the gas flow settles into a configuration with two components 1 an equatorial inflow and 2 a bipolar inflowoutflow with the outflow leaving the system along the poles the directions of disk normals however the flow does not always reach a steady state we find that the maximum outflow velocity and the kinetic outflow power at the outer boundary can be reduced significantly with increasing theta we also find that of the mass inflow rate across the inner boundary does not change significantly with increasing theta abbreviated
[['we', 'present', 'threedimensional', '3d', 'hydrodynamical', 'simulations', 'of', 'gas', 'flows', 'in', 'the', 'vicinity', 'of', 'an', 'active', 'galactic', 'nucleus', 'agn', 'powered', 'by', 'a', 'precessing', 'accretion', 'disk', 'we', 'consider', 'the', 'effects', 'of', 'the', 'radiation', 'force', 'from', 'such', 'a', 'disk', 'on', 'its', 'environment', 'on', 'a', 'relatively', 'large', 'scale', 'up', 'to', '10', 'pc', 'we', 'implicitly', 'include', 'the', 'precessing', 'disk', 'by', 'forcing', 'the', 'disk', 'radiation', 'field', 'to', 'precess', 'around', 'a', 'symmetry', 'axis', 'with', 'a', 'given', 'period', 'p', 'and', 'a', 'tilt', 'angle', 'theta', 'we', 'study', 'time', 'evolution', 'of', 'the', 'flows', 'irradiated', 'by', 'the', 'disk', 'and', 'investigate', 'basic', 'dependencies', 'of', 'the', 'flow', 'morphology', 'mass', 'flux', 'angular', 'momentum', 'on', 'different', 'combinations', 'of', 'theta', 'and', 'p', 'we', 'find', 'the', 'gas', 'flow', 'settles', 'into', 'a', 'configuration', 'with', 'two', 'components', '1', 'an', 'equatorial', 'inflow', 'and', '2', 'a', 'bipolar', 'inflowoutflow', 'with', 'the', 'outflow', 'leaving', 'the', 'system', 'along', 'the', 'poles', 'the', 'directions', 'of', 'disk', 'normals', 'however', 'the', 'flow', 'does', 'not', 'always', 'reach', 'a', 'steady', 'state', 'we', 'find', 'that', 'the', 'maximum', 'outflow', 'velocity', 'and', 'the', 'kinetic', 'outflow', 'power', 'at', 'the', 'outer', 'boundary', 'can', 'be', 'reduced', 'significantly', 'with', 'increasing', 'theta', 'we', 'also', 'find', 'that', 'of', 'the', 'mass', 'inflow', 'rate', 'across', 'the', 'inner', 'boundary', 'does', 'not', 'change', 'significantly', 'with', 'increasing', 'theta', 'abbreviated']]
[-0.17353222652230985, 0.1353747163387314, -0.04586716969855703, 0.010638717807327898, -0.07481789335083121, -0.06509966329456522, 0.0020318186447884027, 0.38972179379600747, -0.27204833094938063, -0.29643174244616277, 0.0900124001846192, -0.24256482265698603, -0.015444329244872698, 0.17592181713523294, -0.015072818379849195, -0.004222362497164748, 0.02552798868213685, -0.03940505088927845, -0.09916888495656447, -0.16183198515672045, 0.3424790216669536, 0.060910572223842906, 0.14906759382559895, 0.01875907938561002, 0.1144914353146958, -0.06973688141204035, 0.0052187393364221905, 0.02054222571209837, -0.17684457409471716, 0.04172621535089536, 0.13538809230503362, 0.06463113884465435, 0.22103623243239828, -0.4231959307220024, -0.22756274190182105, 0.03810672069637057, 0.18303496657739368, 0.049212139257892536, -0.05125061526464728, -0.1979655480513779, 0.038632909185850085, -0.21436195631081667, -0.1846534577771448, 0.03887529636804874, 0.04824296827845944, 0.019276626327504907, -0.2628979444412741, 0.11349119896842286, 0.09068101920091953, 0.08234658504907902, -0.09568868493482184, -0.05830339098958155, -0.10602315208182121, 0.0808188331582082, 0.10211166161506509, 0.11552940201945602, 0.24619184363788615, -0.1510934403619896, -0.0257543222930951, 0.375657072610771, -0.06045855661400427, -0.1701929861631913, 0.20276348347274156, -0.2528074216766235, -0.07181370101916866, 0.1891032493649385, 0.19437105596686402, 0.12476610881157028, -0.06640024626364883, 0.014758497699557876, -0.0787351629195305, 0.19468583565993378, 0.056702571763442115, -0.05612170377937265, 0.3323349313285106, 0.07746835630387068, 0.0816071515254757, 0.1481954372410352, -0.18699455870590054, -0.08578362824419179, -0.2688554257130585, -0.11046178448372163, -0.12341334845614023, 0.0843723290923756, -0.12458515704261701, -0.11786214050669701, 0.36642791926021273, 0.09255156054949532, 0.26672187614708376, 0.03230762923336349, 0.32092514832277236, 0.08503539206054157, 0.08548220516375016, 0.20459423197719914, 0.2848816791501565, 0.1336426334037708, 0.11924498955695292, -0.2936540255120072, 0.06001916998483909, 0.016881220591947053]
709.0952
Measuring AGN Feedback with the Sunyaev-Zel'dovich Effect
One of the most important and poorly-understood issues in structure formation is the role of outflows driven by active galactic nuclei (AGN). Using large-scale cosmological simulations, we compute the impact of such outflows on the small-scale distribution of the cosmic microwave background (CMB). Like gravitationally-heated structures, AGN outflows induce CMB distortions both through thermal motions and peculiar velocities, by processes known as the thermal and kinetic Sunyaev-Zel'dovich (SZ) effects, respectively. For AGN outflows the thermal SZ effect is dominant, doubling the angular power spectrum on arcminute scales. But the most distinct imprint of AGN feedback is a substantial increase in the thermal SZ distortions around elliptical galaxies, post-starburst ellipticals, and quasars, which is linearly proportional to the outflow energy. While point source subtraction is difficult for quasars, we show that by appropriately stacking microwave measurements around early-type galaxies, the new generation of small-scale microwave telescopes will be able to directly measure AGN feedback at the level important for current theoretical models.
astro-ph
one of the most important and poorlyunderstood issues in structure formation is the role of outflows driven by active galactic nuclei agn using largescale cosmological simulations we compute the impact of such outflows on the smallscale distribution of the cosmic microwave background cmb like gravitationallyheated structures agn outflows induce cmb distortions both through thermal motions and peculiar velocities by processes known as the thermal and kinetic sunyaevzeldovich sz effects respectively for agn outflows the thermal sz effect is dominant doubling the angular power spectrum on arcminute scales but the most distinct imprint of agn feedback is a substantial increase in the thermal sz distortions around elliptical galaxies poststarburst ellipticals and quasars which is linearly proportional to the outflow energy while point source subtraction is difficult for quasars we show that by appropriately stacking microwave measurements around earlytype galaxies the new generation of smallscale microwave telescopes will be able to directly measure agn feedback at the level important for current theoretical models
[['one', 'of', 'the', 'most', 'important', 'and', 'poorlyunderstood', 'issues', 'in', 'structure', 'formation', 'is', 'the', 'role', 'of', 'outflows', 'driven', 'by', 'active', 'galactic', 'nuclei', 'agn', 'using', 'largescale', 'cosmological', 'simulations', 'we', 'compute', 'the', 'impact', 'of', 'such', 'outflows', 'on', 'the', 'smallscale', 'distribution', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'like', 'gravitationallyheated', 'structures', 'agn', 'outflows', 'induce', 'cmb', 'distortions', 'both', 'through', 'thermal', 'motions', 'and', 'peculiar', 'velocities', 'by', 'processes', 'known', 'as', 'the', 'thermal', 'and', 'kinetic', 'sunyaevzeldovich', 'sz', 'effects', 'respectively', 'for', 'agn', 'outflows', 'the', 'thermal', 'sz', 'effect', 'is', 'dominant', 'doubling', 'the', 'angular', 'power', 'spectrum', 'on', 'arcminute', 'scales', 'but', 'the', 'most', 'distinct', 'imprint', 'of', 'agn', 'feedback', 'is', 'a', 'substantial', 'increase', 'in', 'the', 'thermal', 'sz', 'distortions', 'around', 'elliptical', 'galaxies', 'poststarburst', 'ellipticals', 'and', 'quasars', 'which', 'is', 'linearly', 'proportional', 'to', 'the', 'outflow', 'energy', 'while', 'point', 'source', 'subtraction', 'is', 'difficult', 'for', 'quasars', 'we', 'show', 'that', 'by', 'appropriately', 'stacking', 'microwave', 'measurements', 'around', 'earlytype', 'galaxies', 'the', 'new', 'generation', 'of', 'smallscale', 'microwave', 'telescopes', 'will', 'be', 'able', 'to', 'directly', 'measure', 'agn', 'feedback', 'at', 'the', 'level', 'important', 'for', 'current', 'theoretical', 'models']]
[-0.09223465276154456, 0.1563128903246252, -0.029997003846801817, 0.15117660074974992, -0.1473255972348852, -0.03881069034396205, -0.018754860557965002, 0.42770619427319617, -0.20126157635386335, -0.30032966209400913, 0.0385916451268713, -0.338315002138188, -0.026416948649421103, 0.23112958650453946, 0.051312407580553554, -0.034192776070267425, -0.006453473930741893, -0.1629895542107988, 0.04419998196099186, -0.2508886022376828, 0.3394900894840248, 0.23452113775711042, 0.22359708935255185, -0.041681210034585095, 0.1455791843502084, -0.15600645489030285, -0.1347024765680544, 0.025503994010796303, -0.11989795324648185, -0.004219669637677725, 0.2418426821236835, 0.08155534741526935, 0.22023950774600962, -0.35867912217072445, -0.2592488707145094, 0.11933033480963787, 0.20388793419115245, 0.07758268801044324, -0.08390869979557465, -0.2432765903067775, 0.04535987274139188, -0.15982370493293274, -0.09481440980744082, 0.003143918953719549, -0.01675319207715802, 0.03795432528561378, -0.19783795816074418, 0.1864414251787821, 0.040215499603073114, 0.0673437517023558, -0.09058311390544986, -0.06375000634579919, -0.07679204920423217, 0.06429101796893519, 0.026453813542320858, 0.06704373759366718, 0.28414304435973464, -0.17382068024016917, -0.08908308281679637, 0.4258232239400968, -0.037051502254325894, -0.022803603287320583, 0.17395637455047108, -0.22483525599818677, -0.20131665778753813, 0.12325076732086018, 0.19348481653432828, 0.04788485223107273, -0.11591572697252558, 0.010922151982958895, 0.04634647970960941, 0.22364232019699556, 0.005879640916828066, 0.0926006706431508, 0.37132692816958296, 0.06889112482313067, 0.09983112085028552, 0.13405497018175083, -0.2122585485340096, 0.011381526716286316, -0.23087381475197616, -0.02400508756400086, -0.14400670691393316, 0.1329674498075292, -0.18058186173402646, -0.12366448151733493, 0.343851087357325, 0.12896313938545062, 0.20163926938257645, -0.014444227869535097, 0.39591741155600174, 0.06211878098110901, 0.10999724968933151, 0.11201105508662294, 0.3392925238440512, 0.18075326246907936, 0.08200110805482837, -0.3099650539486902, 0.06230457491474226, -0.006590358014454978]
709.0953
Intrinsic Structure and Kinematics of the Sub-Parsec Scale Jet of M87
We report new results from a sub-parsec scale study of the inner jet in M87 performed at 15 GHz with the Very Long Baseline Array. We have detected a limb brightened structure of the jet along with a faint 3 mas long counter-feature which we also find to be limb brightened. Typical speeds of separate jet features are measured to be less than 0.05 speed of light, despite the highly asymmetric jet structure and the implications of the canonical relativistic beaming scenario. The observed intrinsic jet structure can be described in terms of a two stream spine-sheath velocity gradient across the jet according to theoretical predications based on the recently discovered strong and variable TeV emission from M87. The jet to counter-jet flux density ratio is measured to be greater than 200. The observed intrinsic jet structure is broadly consistent with theoretical predictions of a spine-sheath velocity gradient suggested by recently discovered TeV emission from M87.
astro-ph
we report new results from a subparsec scale study of the inner jet in m87 performed at 15 ghz with the very long baseline array we have detected a limb brightened structure of the jet along with a faint 3 mas long counterfeature which we also find to be limb brightened typical speeds of separate jet features are measured to be less than 005 speed of light despite the highly asymmetric jet structure and the implications of the canonical relativistic beaming scenario the observed intrinsic jet structure can be described in terms of a two stream spinesheath velocity gradient across the jet according to theoretical predications based on the recently discovered strong and variable tev emission from m87 the jet to counterjet flux density ratio is measured to be greater than 200 the observed intrinsic jet structure is broadly consistent with theoretical predictions of a spinesheath velocity gradient suggested by recently discovered tev emission from m87
[['we', 'report', 'new', 'results', 'from', 'a', 'subparsec', 'scale', 'study', 'of', 'the', 'inner', 'jet', 'in', 'm87', 'performed', 'at', '15', 'ghz', 'with', 'the', 'very', 'long', 'baseline', 'array', 'we', 'have', 'detected', 'a', 'limb', 'brightened', 'structure', 'of', 'the', 'jet', 'along', 'with', 'a', 'faint', '3', 'mas', 'long', 'counterfeature', 'which', 'we', 'also', 'find', 'to', 'be', 'limb', 'brightened', 'typical', 'speeds', 'of', 'separate', 'jet', 'features', 'are', 'measured', 'to', 'be', 'less', 'than', '005', 'speed', 'of', 'light', 'despite', 'the', 'highly', 'asymmetric', 'jet', 'structure', 'and', 'the', 'implications', 'of', 'the', 'canonical', 'relativistic', 'beaming', 'scenario', 'the', 'observed', 'intrinsic', 'jet', 'structure', 'can', 'be', 'described', 'in', 'terms', 'of', 'a', 'two', 'stream', 'spinesheath', 'velocity', 'gradient', 'across', 'the', 'jet', 'according', 'to', 'theoretical', 'predications', 'based', 'on', 'the', 'recently', 'discovered', 'strong', 'and', 'variable', 'tev', 'emission', 'from', 'm87', 'the', 'jet', 'to', 'counterjet', 'flux', 'density', 'ratio', 'is', 'measured', 'to', 'be', 'greater', 'than', '200', 'the', 'observed', 'intrinsic', 'jet', 'structure', 'is', 'broadly', 'consistent', 'with', 'theoretical', 'predictions', 'of', 'a', 'spinesheath', 'velocity', 'gradient', 'suggested', 'by', 'recently', 'discovered', 'tev', 'emission', 'from', 'm87']]
[-0.07339598110486423, 0.11363886102222867, -0.11106321046489381, 0.09938141450195784, -0.14260801683750846, -0.12294743434646196, -0.03376708665502168, 0.48126901068514394, -0.22410239492272657, -0.3637714477075684, 0.05004377198826161, -0.2267752311282581, 0.007393596303318778, 0.21417131690804156, 0.007564965809785551, 0.01418506646765426, 0.06973168315335868, -0.05968078400098508, -0.08133676092951528, -0.12796034574914242, 0.24118903851767462, 0.13864741718937312, 0.20444193355018092, 0.038134984714880346, 0.1025154639155634, -0.10770166458471889, -0.05945160644008748, 0.06401776376348402, -0.07502754962131862, 0.07880499534789592, 0.18008796524016127, 0.055303009416187, 0.17862399499262532, -0.36989613496998863, -0.23131929244245253, -0.003186387938236998, 0.15820591220512026, 0.015215456968684109, -0.015231521556627065, -0.29757496319230525, 0.10283108185967356, -0.2306629098831646, -0.17926647531830014, 0.07192975359578287, 0.043837251583294524, -0.005703230119580703, -0.18709355169276318, 0.14278898582955252, -0.009901828620763074, 0.08268380789987502, -0.05166963271105722, -0.10435517529446271, -0.060410665615551896, 0.009155054297298192, 0.11255003531132975, 0.133940053256529, 0.185491592686383, -0.1151266741476232, -0.1468882439177363, 0.3865561570040882, -0.05959591104652762, -0.045252800067382554, 0.1934359303360144, -0.25221837042500417, -0.16638908026319357, 0.20083468119583783, 0.19684129290643237, 0.09447753375336047, -0.10554261322193328, -0.057864652106100915, -0.06112015690549367, 0.21382103841751815, 0.05170491912942981, 0.05507693761779416, 0.27902813323082465, 0.14825229331580622, 0.016458745687569103, 0.1262894344272002, -0.2514880248961309, -0.05659956798378018, -0.27935162314003514, -0.0506665182401306, -0.10792933901276199, 0.07811702291796645, -0.13451191183881864, -0.06859818441012214, 0.4059800818171953, 0.0874185033563164, 0.29578353499452914, 0.01894080712095714, 0.30134478110459545, 0.08077109141515627, 0.10626953679377273, 0.20069936999840843, 0.3800512107149247, 0.1639621790813943, 0.11994407939754667, -0.18624852418208554, 0.1026718050271513, -0.01711458378291178]
709.0954
Polaron tunneling dynamics in the DNA molecule
The formation of polaron and its migration in a DNA chain are studied within a semiclassical Peyrard-Biship-Holstein polaron model. Comparing the energetics of the polaron system found from the quantum chemical and semiclassical calculations, we extract the charge-phonon coupling constant for poly DNA sequences. The coupling constant is found to be larger for the G-C than for the A-T pairs. With this coupling constant we study tunneling in the DNA molecule. The rates and the nature of tunneling have strong dependence on the DNA sequence. By changing the trap positions in the molecular bridge the tunneling rate can by varied up to seven orders of magnitude.
cond-mat.soft
the formation of polaron and its migration in a dna chain are studied within a semiclassical peyrardbishipholstein polaron model comparing the energetics of the polaron system found from the quantum chemical and semiclassical calculations we extract the chargephonon coupling constant for poly dna sequences the coupling constant is found to be larger for the gc than for the at pairs with this coupling constant we study tunneling in the dna molecule the rates and the nature of tunneling have strong dependence on the dna sequence by changing the trap positions in the molecular bridge the tunneling rate can by varied up to seven orders of magnitude
[['the', 'formation', 'of', 'polaron', 'and', 'its', 'migration', 'in', 'a', 'dna', 'chain', 'are', 'studied', 'within', 'a', 'semiclassical', 'peyrardbishipholstein', 'polaron', 'model', 'comparing', 'the', 'energetics', 'of', 'the', 'polaron', 'system', 'found', 'from', 'the', 'quantum', 'chemical', 'and', 'semiclassical', 'calculations', 'we', 'extract', 'the', 'chargephonon', 'coupling', 'constant', 'for', 'poly', 'dna', 'sequences', 'the', 'coupling', 'constant', 'is', 'found', 'to', 'be', 'larger', 'for', 'the', 'gc', 'than', 'for', 'the', 'at', 'pairs', 'with', 'this', 'coupling', 'constant', 'we', 'study', 'tunneling', 'in', 'the', 'dna', 'molecule', 'the', 'rates', 'and', 'the', 'nature', 'of', 'tunneling', 'have', 'strong', 'dependence', 'on', 'the', 'dna', 'sequence', 'by', 'changing', 'the', 'trap', 'positions', 'in', 'the', 'molecular', 'bridge', 'the', 'tunneling', 'rate', 'can', 'by', 'varied', 'up', 'to', 'seven', 'orders', 'of', 'magnitude']]
[-0.13885990098296178, 0.14685426530029091, -0.012388462222935189, 0.07200765771170457, 0.032656619662330265, -0.1274103305790396, 0.09512104224081018, 0.36972709409892557, -0.28199135289926613, -0.289392322390562, -0.002975051157132146, -0.26940294652290286, -0.07272086320444941, 0.171080609078386, 0.059582682155693574, -0.0005483171409217729, 0.045869767036111585, 0.019789900302532172, -0.02467961948631065, -0.22169462233737466, 0.284871516403343, 0.06851299930602267, 0.24861223352851258, 0.08689926550723612, 0.04509186779281923, -0.010688549544041356, 0.0543292433932601, -0.01823437008119765, -0.22894268764094228, 0.1310616975827586, 0.18129976409753518, -0.019613457528785582, 0.2253188237431459, -0.43687036117272715, -0.1910901135898062, 0.02409524769477901, 0.18974587116501337, 0.20867786324095158, -0.04521342714170238, -0.26092054209051035, 0.05977996679776836, -0.14274165099375838, -0.08002214697743988, -0.040915410355886535, 0.05039992802554653, 0.07526644006859334, -0.2135799960809804, 0.10594445895403623, -0.015008678930323748, 0.044402017889452895, -0.08152034515182355, -0.07606479447845015, -0.013540422486230021, 0.13403621283359826, 0.06025849027293069, 0.05454201281425499, 0.20080712158232927, -0.1045833975497988, -0.09571432226914026, 0.37999146345648027, -0.12143679039755148, -0.1446774830515053, 0.18419907523230428, -0.17084749780728348, -0.07920673480257392, 0.1575072154402733, 0.06663605366789159, 0.12513344570927853, -0.18083407365317855, 0.08975598660042687, 0.03678602415491782, 0.18028538024851254, 0.11746098810052942, 0.040198808030358385, 0.22749620693780126, 0.17947814994979472, 0.009722368847135277, 0.1405929155104483, -0.12112353526366254, -0.158029609998422, -0.20845637527028366, -0.1428615617521462, -0.20222605161723636, 0.08154921665610303, -0.10648798400139813, -0.14790690493370806, 0.400194142665714, 0.09310974040197055, 0.22012546803979646, 0.027433470432602223, 0.22287966839614368, 0.12190717107483319, 0.11335787601392007, -0.009176230244338512, 0.2567812629664938, 0.1355015045785833, 0.06854833624813528, -0.35589362823271325, 0.09716503346072776, 0.03574424262485644]
709.0955
Fastest mixing Markov chain on graphs with symmetries
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest eigenvalue modulus of the transition probability matrix). Exploiting symmetry can lead to significant reduction in both the number of variables and the size of matrices in the corresponding semidefinite program, thus enable numerical solution of large-scale instances that are otherwise computationally infeasible. We obtain analytic or semi-analytic results for particular classes of graphs, such as edge-transitive and distance-transitive graphs. We describe two general approaches for symmetry exploitation, based on orbit theory and block-diagonalization, respectively. We also establish the connection between these two approaches.
math.PR math.CO math.OC
we show how to exploit symmetries of a graph to efficiently compute the fastest mixing markov chain on the graph ie find the transition probabilities on the edges to minimize the secondlargest eigenvalue modulus of the transition probability matrix exploiting symmetry can lead to significant reduction in both the number of variables and the size of matrices in the corresponding semidefinite program thus enable numerical solution of largescale instances that are otherwise computationally infeasible we obtain analytic or semianalytic results for particular classes of graphs such as edgetransitive and distancetransitive graphs we describe two general approaches for symmetry exploitation based on orbit theory and blockdiagonalization respectively we also establish the connection between these two approaches
[['we', 'show', 'how', 'to', 'exploit', 'symmetries', 'of', 'a', 'graph', 'to', 'efficiently', 'compute', 'the', 'fastest', 'mixing', 'markov', 'chain', 'on', 'the', 'graph', 'ie', 'find', 'the', 'transition', 'probabilities', 'on', 'the', 'edges', 'to', 'minimize', 'the', 'secondlargest', 'eigenvalue', 'modulus', 'of', 'the', 'transition', 'probability', 'matrix', 'exploiting', 'symmetry', 'can', 'lead', 'to', 'significant', 'reduction', 'in', 'both', 'the', 'number', 'of', 'variables', 'and', 'the', 'size', 'of', 'matrices', 'in', 'the', 'corresponding', 'semidefinite', 'program', 'thus', 'enable', 'numerical', 'solution', 'of', 'largescale', 'instances', 'that', 'are', 'otherwise', 'computationally', 'infeasible', 'we', 'obtain', 'analytic', 'or', 'semianalytic', 'results', 'for', 'particular', 'classes', 'of', 'graphs', 'such', 'as', 'edgetransitive', 'and', 'distancetransitive', 'graphs', 'we', 'describe', 'two', 'general', 'approaches', 'for', 'symmetry', 'exploitation', 'based', 'on', 'orbit', 'theory', 'and', 'blockdiagonalization', 'respectively', 'we', 'also', 'establish', 'the', 'connection', 'between', 'these', 'two', 'approaches']]
[-0.12081113008620298, 0.06678368658050085, -0.041083439237073714, 0.08496621823262261, -0.10778856694941287, -0.10776386804797727, 0.07620622544731621, 0.40681281928782875, -0.2871430423191708, -0.3117104751462846, 0.1287955128689013, -0.2749343750284701, -0.17643167584446137, 0.1491305171046406, -0.030141984123696126, 0.07420518867185583, 0.08223593926624112, 0.037621116055094675, -0.10127563122052537, -0.21273840879869607, 0.31448594400780683, -0.0028329924801769463, 0.24920614450036183, 0.04762278811844147, 0.08183381843340137, 0.005259478003110575, -0.014781961603211644, 0.02341360360303003, -0.15544338335881627, 0.11451234939994047, 0.2651615702344672, 0.15498651975117947, 0.20201844491226517, -0.4580871189661, -0.1332700373928832, 0.16638565593115662, 0.12275235102228496, 0.12666545431230866, -0.011793388382774656, -0.254620924545452, 0.10413591680319413, -0.14073815121234434, -0.07882386807595258, -0.1253376966929468, 0.001656745552368786, 0.0010924420279005299, -0.2885570943598514, 0.04204224421435198, 0.0548116699549491, 0.0005536352689175503, 0.0032651253247066685, -0.14067606727855847, -0.00950980210352851, 0.1248745112295222, 0.038603913111855154, -0.03889332416102938, 0.059599881603018094, -0.08678237682856295, -0.1540100068339835, 0.35720872964871964, -0.013096019994143558, -0.20339063484545636, 0.1896083400685988, -0.11582342496384745, -0.17939452616011967, 0.10539487914546676, 0.21425547805493292, 0.1361234155605021, -0.09288635076550038, 0.09758505375661036, -0.04675425398365959, 0.14483202143936702, 0.06157472180809988, 0.024188421742039043, 0.14682034265411936, 0.11487044519339891, 0.14544540551046933, 0.15565099711529912, -0.030211842078057563, -0.11981954396621365, -0.25650999458587687, -0.15038695241851002, -0.21827887234116053, 0.03547188099473715, -0.15889787129695912, -0.19333009557069644, 0.40674475918159536, 0.17046519509471894, 0.20752099395284188, 0.14004526239536377, 0.22950652605327576, 0.10148524499761508, 0.04502993894983893, 0.11841384642555014, 0.20309567629238184, 0.1661477951069727, -0.0054925931658109895, -0.23335805224335712, 0.06022017186041921, 0.10786554571747294]
709.0956
The gas density around SN 1006
The density of the ambient medium where the supernova remnant evolves is a relevant parameter for its hydrodynamical evolution, for the mechanism of particle acceleration, and for the emission at TeV energies. Using XMM-Newton X-ray observations, we present a study of the ambient medium density of the historical supernova remnant SN 1006. We modelled the post-shock thermal emission to constrain the ambient medium density. Our study is focused on the North-West and the South-East rims of the remnant, where the thermal emission dominates. We used a plane-parallel shock plasma model plus another component for the ejecta that are not negligible in the regions of our study. The importance of the synchrotron component is also studied. In order to improve statistics, we combined several observations of the remnant. The density found in the South-East rim is low, roughly 0.05 cm-3, and seems to be representative of the rest of the remnant. However, in the North-West rim (close to the bright optical filament), the density is significantly higher (about 0.15-0.25 cm-3). This confirms a picture of SN 1006 evolving in a tenuous ambient medium, except in the North-West where the remnant has recently encountered a denser region. A density this low is compatible with the non-detection of the remnant by the HESS gamma-ray observatory. The lower density in the South-East implies a higher shock speed of 4900 km/s, higher than that of 2890 km/s measured in the North-West. This new estimate of the velocity could increase the maximum energy that accelerated particles can reach to energies of about 1 PeV.
astro-ph
the density of the ambient medium where the supernova remnant evolves is a relevant parameter for its hydrodynamical evolution for the mechanism of particle acceleration and for the emission at tev energies using xmmnewton xray observations we present a study of the ambient medium density of the historical supernova remnant sn 1006 we modelled the postshock thermal emission to constrain the ambient medium density our study is focused on the northwest and the southeast rims of the remnant where the thermal emission dominates we used a planeparallel shock plasma model plus another component for the ejecta that are not negligible in the regions of our study the importance of the synchrotron component is also studied in order to improve statistics we combined several observations of the remnant the density found in the southeast rim is low roughly 005 cm3 and seems to be representative of the rest of the remnant however in the northwest rim close to the bright optical filament the density is significantly higher about 015025 cm3 this confirms a picture of sn 1006 evolving in a tenuous ambient medium except in the northwest where the remnant has recently encountered a denser region a density this low is compatible with the nondetection of the remnant by the hess gammaray observatory the lower density in the southeast implies a higher shock speed of 4900 kms higher than that of 2890 kms measured in the northwest this new estimate of the velocity could increase the maximum energy that accelerated particles can reach to energies of about 1 pev
[['the', 'density', 'of', 'the', 'ambient', 'medium', 'where', 'the', 'supernova', 'remnant', 'evolves', 'is', 'a', 'relevant', 'parameter', 'for', 'its', 'hydrodynamical', 'evolution', 'for', 'the', 'mechanism', 'of', 'particle', 'acceleration', 'and', 'for', 'the', 'emission', 'at', 'tev', 'energies', 'using', 'xmmnewton', 'xray', 'observations', 'we', 'present', 'a', 'study', 'of', 'the', 'ambient', 'medium', 'density', 'of', 'the', 'historical', 'supernova', 'remnant', 'sn', '1006', 'we', 'modelled', 'the', 'postshock', 'thermal', 'emission', 'to', 'constrain', 'the', 'ambient', 'medium', 'density', 'our', 'study', 'is', 'focused', 'on', 'the', 'northwest', 'and', 'the', 'southeast', 'rims', 'of', 'the', 'remnant', 'where', 'the', 'thermal', 'emission', 'dominates', 'we', 'used', 'a', 'planeparallel', 'shock', 'plasma', 'model', 'plus', 'another', 'component', 'for', 'the', 'ejecta', 'that', 'are', 'not', 'negligible', 'in', 'the', 'regions', 'of', 'our', 'study', 'the', 'importance', 'of', 'the', 'synchrotron', 'component', 'is', 'also', 'studied', 'in', 'order', 'to', 'improve', 'statistics', 'we', 'combined', 'several', 'observations', 'of', 'the', 'remnant', 'the', 'density', 'found', 'in', 'the', 'southeast', 'rim', 'is', 'low', 'roughly', '005', 'cm3', 'and', 'seems', 'to', 'be', 'representative', 'of', 'the', 'rest', 'of', 'the', 'remnant', 'however', 'in', 'the', 'northwest', 'rim', 'close', 'to', 'the', 'bright', 'optical', 'filament', 'the', 'density', 'is', 'significantly', 'higher', 'about', '015025', 'cm3', 'this', 'confirms', 'a', 'picture', 'of', 'sn', '1006', 'evolving', 'in', 'a', 'tenuous', 'ambient', 'medium', 'except', 'in', 'the', 'northwest', 'where', 'the', 'remnant', 'has', 'recently', 'encountered', 'a', 'denser', 'region', 'a', 'density', 'this', 'low', 'is', 'compatible', 'with', 'the', 'nondetection', 'of', 'the', 'remnant', 'by', 'the', 'hess', 'gammaray', 'observatory', 'the', 'lower', 'density', 'in', 'the', 'southeast', 'implies', 'a', 'higher', 'shock', 'speed', 'of', '4900', 'kms', 'higher', 'than', 'that', 'of', '2890', 'kms', 'measured', 'in', 'the', 'northwest', 'this', 'new', 'estimate', 'of', 'the', 'velocity', 'could', 'increase', 'the', 'maximum', 'energy', 'that', 'accelerated', 'particles', 'can', 'reach', 'to', 'energies', 'of', 'about', '1', 'pev']]
[-0.0792553448740956, 0.13228059087360147, -0.07701588040145561, 0.0828927546200819, -0.07261295040145285, -0.032465570631559734, 0.020578604085955684, 0.3930130091950644, -0.19795002567747882, -0.2980770383087933, 0.06869205209072823, -0.2883806394597212, 0.02421861988051917, 0.15029576927010158, 0.015385478362373379, -0.10086067617611866, 0.053650079537345484, -0.004398161881105151, -0.07151265617716307, -0.18815050133938951, 0.2718785849829428, 0.16380134509567734, 0.22199574022016005, 0.07007879630776209, 0.09571203613354168, -0.11428540256036836, -0.016710776864558227, -0.014562565186164746, -0.11216890956370486, 0.07730096557841802, 0.1770688149607208, 0.10987087003182792, 0.2118790794250577, -0.41172747725490916, -0.2837977074082154, 0.055778308139839604, 0.19168364219033598, 0.011795503747931053, -0.013318720660370941, -0.2823702261292253, 0.07099360674283514, -0.2222138961809579, -0.2438035461990264, 0.14164246538249675, -0.0004363220542409392, 0.0018584202282859892, -0.191218718844863, 0.16389303497846922, -0.006840414139748977, 0.023490578777250623, -0.11356030539257539, -0.10159039396752943, -0.05189933264339271, 0.016599302100696305, 0.06522406478612792, 0.07027620071989246, 0.1786977157087874, -0.15071103634410213, -0.00438660000227103, 0.42403662138683507, -0.07061325056847706, 0.012505174777845608, 0.21891780877882946, -0.24198305240088655, -0.1479509145097244, 0.24544334045589664, 0.1475626966490071, 0.07752477051915832, -0.09691021906107289, 0.021558439472325636, -0.06615639629533746, 0.177627813573674, 0.05289686329540067, 0.00712704563193256, 0.245850831138461, 0.15031458804015677, 0.04955886245900115, 0.15720677075369732, -0.23625523828298517, -0.017741709254508794, -0.2804511496652813, -0.1312683818540572, -0.153191106171932, 0.05496988786379274, -0.1470151153416666, -0.10916854327096957, 0.3725465101807183, 0.13902306611750767, 0.2081184677902407, -0.04595937265097633, 0.3175022474615546, 0.0973099162513318, 0.03557933709952374, 0.17481507907328606, 0.3150608117977345, 0.19618308228393655, 0.14630746378837686, -0.2170960931883504, 0.08948444603814187, -0.005248496719534949]
709.0957
Counting and Locating the Solutions of Polynomial Systems of Maximum Likelihood Equations, II: The Behrens-Fisher Problem
Let $\mu$ be a $p$-dimensional vector, and let $\Sigma_1$ and $\Sigma_2$ be $p \times p$ positive definite covariance matrices. On being given random samples of sizes $N_1$ and $N_2$ from independent multivariate normal populations $N_p(\mu,\Sigma_1)$ and $N_p(\mu,\Sigma_2)$, respectively, the Behrens-Fisher problem is to solve the likelihood equations for estimating the unknown parameters $\mu$, $\Sigma_1$, and $\Sigma_2$. We shall prove that for $N_1, N_2 > p$ there are, almost surely, exactly $2p+1$ complex solutions of the likelihood equations. For the case in which $p = 2$, we utilize Monte Carlo simulation to estimate the relative frequency with which a typical Behrens-Fisher problem has multiple real solutions; we find that multiple real solutions occur infrequently.
math.ST math.AG stat.CO stat.TH
let mu be a pdimensional vector and let sigma_1 and sigma_2 be p times p positive definite covariance matrices on being given random samples of sizes n_1 and n_2 from independent multivariate normal populations n_pmusigma_1 and n_pmusigma_2 respectively the behrensfisher problem is to solve the likelihood equations for estimating the unknown parameters mu sigma_1 and sigma_2 we shall prove that for n_1 n_2 p there are almost surely exactly 2p1 complex solutions of the likelihood equations for the case in which p 2 we utilize monte carlo simulation to estimate the relative frequency with which a typical behrensfisher problem has multiple real solutions we find that multiple real solutions occur infrequently
[['let', 'mu', 'be', 'a', 'pdimensional', 'vector', 'and', 'let', 'sigma_1', 'and', 'sigma_2', 'be', 'p', 'times', 'p', 'positive', 'definite', 'covariance', 'matrices', 'on', 'being', 'given', 'random', 'samples', 'of', 'sizes', 'n_1', 'and', 'n_2', 'from', 'independent', 'multivariate', 'normal', 'populations', 'n_pmusigma_1', 'and', 'n_pmusigma_2', 'respectively', 'the', 'behrensfisher', 'problem', 'is', 'to', 'solve', 'the', 'likelihood', 'equations', 'for', 'estimating', 'the', 'unknown', 'parameters', 'mu', 'sigma_1', 'and', 'sigma_2', 'we', 'shall', 'prove', 'that', 'for', 'n_1', 'n_2', 'p', 'there', 'are', 'almost', 'surely', 'exactly', '2p1', 'complex', 'solutions', 'of', 'the', 'likelihood', 'equations', 'for', 'the', 'case', 'in', 'which', 'p', '2', 'we', 'utilize', 'monte', 'carlo', 'simulation', 'to', 'estimate', 'the', 'relative', 'frequency', 'with', 'which', 'a', 'typical', 'behrensfisher', 'problem', 'has', 'multiple', 'real', 'solutions', 'we', 'find', 'that', 'multiple', 'real', 'solutions', 'occur', 'infrequently']]
[-0.13346981620330603, 0.14661928155211681, -0.029417187539399217, 0.07530449710705173, -0.01245545647149786, -0.20771645476033382, 0.0027986881985337638, 0.36451548307177123, -0.2889082493311768, -0.25804011073014743, 0.10849432687065777, -0.32356385324457915, -0.09397225843052542, 0.15056217619892928, -0.010337304776756588, 0.053403669643566146, 0.029348185956649005, 0.04864340619004648, -0.08923862184560218, -0.26391510933705975, 0.300270376167337, -0.08343772685001476, 0.1970554872954247, -0.04152643249942622, 0.10473418439986236, -0.0013688858769355563, 0.00781581670616181, -0.03241988953732706, -0.1631567593875668, 0.03144188708232699, 0.3021730862968012, 0.14458607366235676, 0.2560064711975395, -0.38005784366049145, -0.14424296299320297, 0.27639948722368124, 0.17531475374141897, -0.0121497673371277, 0.0011539847788682909, -0.23339427363153104, 0.1609765831573328, -0.09185651277080861, -0.13570810328109548, -0.025203510601962104, 0.08484049132862768, 0.00850780551971167, -0.37672180526915494, 0.10863788859115554, 0.01678351911647008, 0.040917680910660316, -0.05830759223477932, -0.2202638817797287, -0.0014444216402298812, 0.06753646236750374, 0.06969655978540386, 0.014497464115799772, 0.04425647214921234, -0.013193989539980341, -0.08109485237098751, 0.3391719192710765, -0.05922149709178084, -0.304557628228987, 0.14637932964865494, -0.18816029510264276, -0.13476672299941062, 0.12087300899993936, 0.18470496469425088, 0.15526613558497315, -0.08335891168312502, 0.156966476946313, -0.09405758196206063, 0.1567093570750856, 0.08022543208229296, -0.07750222988324154, 0.1502035431170819, 0.05172653177057803, 0.08918428397523838, 0.08484848424441976, -0.05568547096581907, -0.03512836134044129, -0.29092726153385645, -0.12953937844022972, -0.20001512661217413, 0.13676957545135546, -0.16360991382306558, -0.17849390242898136, 0.3342694406730866, 0.1164193430043962, 0.22257313720557256, 0.1460618100688716, 0.24669888131149592, 0.17626621939002649, -0.022681924635693945, 0.09297525509123887, 0.05724401941198275, 0.17962516316238347, 0.010223276891805437, -0.17648706339735434, 0.07501078980821056, 0.02587385072347221]
709.0958
Spectroscopy and Strong Decays of Charmed Baryons
Spectroscopy and strong decays of the charmed baryons are reviewed. Possible spin-parity quantum numbers of several newly observed charmed baryon resonances are discussed. Strong decays of charmed baryons are analyzed in the framework of heavy hadron chiral perturbation theory in which heavy quark symmetry and chiral symmetry are synthesized.
hep-ph hep-ex
spectroscopy and strong decays of the charmed baryons are reviewed possible spinparity quantum numbers of several newly observed charmed baryon resonances are discussed strong decays of charmed baryons are analyzed in the framework of heavy hadron chiral perturbation theory in which heavy quark symmetry and chiral symmetry are synthesized
[['spectroscopy', 'and', 'strong', 'decays', 'of', 'the', 'charmed', 'baryons', 'are', 'reviewed', 'possible', 'spinparity', 'quantum', 'numbers', 'of', 'several', 'newly', 'observed', 'charmed', 'baryon', 'resonances', 'are', 'discussed', 'strong', 'decays', 'of', 'charmed', 'baryons', 'are', 'analyzed', 'in', 'the', 'framework', 'of', 'heavy', 'hadron', 'chiral', 'perturbation', 'theory', 'in', 'which', 'heavy', 'quark', 'symmetry', 'and', 'chiral', 'symmetry', 'are', 'synthesized']]
[-0.1262643106794935, 0.40424803100830436, -0.04581146886838334, 0.2262086496897498, -0.07017324663394568, -0.16736176442735048, 0.024397025652210778, 0.299094753643992, -0.1516136141607956, -0.19638576407973862, -0.10491710021730741, -0.41679067786174767, 0.05527931223718487, -0.006700985741858579, 0.17390205908794792, 0.20761504571656791, 0.02937422661414864, 0.024686146137893807, -0.008695445955987563, -0.22127516424207358, 0.29939564599712587, -0.09464228642885858, 0.16948095790813772, 0.2036870410285738, -0.07318433788510001, -0.07748278312157003, -0.002229996738309155, -0.06880250905773469, -0.07823256007870849, 0.05773860972602757, 0.1799584831222797, 0.0422280809024767, 0.09914054749153402, -0.4179193784995955, -0.1259347987218703, 0.07178189402104032, 0.20292914878310903, 0.2246370250620518, -0.16539257072976657, -0.4400828119215308, 0.20579694268502752, -0.18055635344769275, -0.19732862558900094, -0.2396807296543705, -0.02809366568618891, -0.00445300576334097, -0.2584799113018172, 0.1506207509308445, -0.13435442479593412, 0.11107163059012014, -0.007867148906296613, -0.2987291742572371, -0.11099470874332652, -0.05403371983949019, 0.19787254078047617, 0.027768063739094198, 0.148160929178667, -0.14464596689355616, -0.2054531033131845, 0.4433264861225474, 0.007197194105508376, -0.08409225830466163, 0.06559475638656592, -0.17340302303889576, -0.25397530441381494, 0.0884370597041383, 0.24082892806250222, 0.10966546461936466, -0.20116166475856181, 0.10893795655669683, -0.09792732099565316, 0.1283696968897189, 0.08169956030134036, 0.19636885374214272, 0.2618453348321574, 0.180112857756452, -0.16793211629348143, 0.029349291678137924, -0.053812996066194406, -0.13299376935797877, -0.4091736908469881, -0.08224740221488233, -0.1362195317728483, 0.01460780143709283, 0.004780071446011603, -0.06912588495381024, 0.4061694611434121, -0.005418523632902272, 0.25483542382337, -0.10484001608042769, 0.30122063293748974, 0.03818467232797827, 0.05418229772120106, 0.04882917870596355, 0.33999858568517527, 0.3844706455663759, 0.12728384667437295, -0.3499591257803294, -0.06074144556282126, 0.07461062548396995]
709.0959
The Morse-Bott inequalities via dynamical systems
Let $f:M \to \mathbb{R}$ be a Morse-Bott function on a compact smooth finite dimensional manifold $M$. The polynomial Morse inequalities and an explicit perturbation of $f$ defined using Morse functions $f_j$ on the critical submanifolds $C_j$ of $f$ show immediately that $MB_t(f) = P_t(M) + (1+t)R(t)$, where $MB_t(f)$ is the Morse-Bott polynomial of $f$ and $P_t(M)$ is the Poincar\'e polynomial of $M$. We prove that $R(t)$ is a polynomial with nonnegative integer coefficients by showing that the number of gradient flow lines of the perturbation of $f$ between two critical points $p,q \in C_j$ coincides with the number of gradient flow lines between $p$ and $q$ of the Morse function $f_j$. This leads to a relationship between the kernels of the Morse-Smale-Witten boundary operators associated to the Morse functions $f_j$ and the perturbation of $f$. This method works when $M$ and all the critical submanifolds are oriented or when $\mathbb{Z}_2$ coefficients are used.
math.AT math.DG math.DS
let fm to mathbbr be a morsebott function on a compact smooth finite dimensional manifold m the polynomial morse inequalities and an explicit perturbation of f defined using morse functions f_j on the critical submanifolds c_j of f show immediately that mb_tf p_tm 1trt where mb_tf is the morsebott polynomial of f and p_tm is the poincare polynomial of m we prove that rt is a polynomial with nonnegative integer coefficients by showing that the number of gradient flow lines of the perturbation of f between two critical points pq in c_j coincides with the number of gradient flow lines between p and q of the morse function f_j this leads to a relationship between the kernels of the morsesmalewitten boundary operators associated to the morse functions f_j and the perturbation of f this method works when m and all the critical submanifolds are oriented or when mathbbz_2 coefficients are used
[['let', 'fm', 'to', 'mathbbr', 'be', 'a', 'morsebott', 'function', 'on', 'a', 'compact', 'smooth', 'finite', 'dimensional', 'manifold', 'm', 'the', 'polynomial', 'morse', 'inequalities', 'and', 'an', 'explicit', 'perturbation', 'of', 'f', 'defined', 'using', 'morse', 'functions', 'f_j', 'on', 'the', 'critical', 'submanifolds', 'c_j', 'of', 'f', 'show', 'immediately', 'that', 'mb_tf', 'p_tm', '1trt', 'where', 'mb_tf', 'is', 'the', 'morsebott', 'polynomial', 'of', 'f', 'and', 'p_tm', 'is', 'the', 'poincare', 'polynomial', 'of', 'm', 'we', 'prove', 'that', 'rt', 'is', 'a', 'polynomial', 'with', 'nonnegative', 'integer', 'coefficients', 'by', 'showing', 'that', 'the', 'number', 'of', 'gradient', 'flow', 'lines', 'of', 'the', 'perturbation', 'of', 'f', 'between', 'two', 'critical', 'points', 'pq', 'in', 'c_j', 'coincides', 'with', 'the', 'number', 'of', 'gradient', 'flow', 'lines', 'between', 'p', 'and', 'q', 'of', 'the', 'morse', 'function', 'f_j', 'this', 'leads', 'to', 'a', 'relationship', 'between', 'the', 'kernels', 'of', 'the', 'morsesmalewitten', 'boundary', 'operators', 'associated', 'to', 'the', 'morse', 'functions', 'f_j', 'and', 'the', 'perturbation', 'of', 'f', 'this', 'method', 'works', 'when', 'm', 'and', 'all', 'the', 'critical', 'submanifolds', 'are', 'oriented', 'or', 'when', 'mathbbz_2', 'coefficients', 'are', 'used']]
[-0.22723571674873097, 0.10849726119802752, -0.06863655243068933, 0.022919283960348095, -0.03875936272182829, -0.16878453552773273, -0.00913315371065904, 0.3332312153023038, -0.2941917059565517, -0.19733500327896075, 0.06610190610926775, -0.278630082901391, -0.15389217210404976, 0.1814733132959117, -0.04452015740822095, 0.06199220908377823, -0.007509703917831585, 0.10322119673160282, -0.11734282476607256, -0.25430317866030727, 0.3874454688205308, -0.0806613211029184, 0.16686427662765757, 0.081602209555992, 0.06808261240429773, -0.024226238891306158, 0.017901302728647796, -0.002051830745610484, -0.17340769379228044, 0.11817189228777597, 0.2529641315954536, 0.07094197843469226, 0.2740793523403841, -0.3776372912390208, -0.1511714041447015, 0.20271002493698048, 0.12242199813418493, -0.05866745872599249, 0.032950782235963524, -0.22976428994002776, 0.11146035376697074, -0.08193176527935508, -0.1533920681890654, -0.04791110780757122, 0.0967252710488046, 0.09767768784061175, -0.3519916276799867, 0.03428728976349875, 0.07793176805323644, 0.11206849270604073, -0.028470990457257407, -0.12646967175454404, -0.1050532833874427, 0.06655142310655965, 0.019819434895809437, 0.1509668287550527, 0.10142884523658133, -0.07034717834731792, -0.05833815719391144, 0.3283230890834553, -0.1258062841685338, -0.2819829386205891, 0.10533401824068278, -0.16824409281016905, -0.11737688908328277, 0.10775088470404011, 0.09960355086101068, 0.1735762221159766, -0.03086191951710183, 0.2009429148334626, -0.06520497188447169, 0.1244661047853328, 0.11093491400164124, -0.062330519947273705, 0.12397005658036701, 0.0029122164501254825, 0.14679108293903237, 0.14454048298727218, -0.0066074510439255, -0.05335251949381436, -0.36612486933055965, -0.16967578037214037, -0.24026591957600257, 0.1277399678947404, -0.1572341808471695, -0.2025311140947648, 0.3669019745209733, 0.026253697271631855, 0.22484970959280995, 0.11697840869955316, 0.21955196366242663, 0.14669010717566502, 0.024134667407378328, 0.10371123440249043, 0.09640505924392995, 0.1898411694218757, 0.03213654621504247, -0.184608594465661, -0.030109222660571134, 0.20669537793052056]
709.096
Exact edge singularities and dynamical correlations in spin-1/2 chains
Exact formulas for the singularities of the dynamical structure factor, S^{zz}(q,omega), of the S=1/2 xxz spin chain at all q and any anisotropy and magnetic field in the critical regime are derived, expressing the exponents in terms of the phase shifts which are known exactly from the Bethe ansatz solution. We also study the long time asymptotics of the self-correlation function <0|S_j^z(t)S_j^z(0)|0>. Utilizing these results to supplement very accurate time-dependent Density Matrix Renormalization Group (DMRG) for short to moderate times, we calculate S^{zz}(q,omega) to very high precision.
cond-mat.str-el
exact formulas for the singularities of the dynamical structure factor szzqomega of the s12 xxz spin chain at all q and any anisotropy and magnetic field in the critical regime are derived expressing the exponents in terms of the phase shifts which are known exactly from the bethe ansatz solution we also study the long time asymptotics of the selfcorrelation function 0s_jzts_jz00 utilizing these results to supplement very accurate timedependent density matrix renormalization group dmrg for short to moderate times we calculate szzqomega to very high precision
[['exact', 'formulas', 'for', 'the', 'singularities', 'of', 'the', 'dynamical', 'structure', 'factor', 'szzqomega', 'of', 'the', 's12', 'xxz', 'spin', 'chain', 'at', 'all', 'q', 'and', 'any', 'anisotropy', 'and', 'magnetic', 'field', 'in', 'the', 'critical', 'regime', 'are', 'derived', 'expressing', 'the', 'exponents', 'in', 'terms', 'of', 'the', 'phase', 'shifts', 'which', 'are', 'known', 'exactly', 'from', 'the', 'bethe', 'ansatz', 'solution', 'we', 'also', 'study', 'the', 'long', 'time', 'asymptotics', 'of', 'the', 'selfcorrelation', 'function', '0s_jzts_jz00', 'utilizing', 'these', 'results', 'to', 'supplement', 'very', 'accurate', 'timedependent', 'density', 'matrix', 'renormalization', 'group', 'dmrg', 'for', 'short', 'to', 'moderate', 'times', 'we', 'calculate', 'szzqomega', 'to', 'very', 'high', 'precision']]
[-0.1764965756947911, 0.14058580685428582, -0.06186833385876272, 0.10510573962291833, -0.02819205246064379, -0.1179568970611124, 0.026475943535631305, 0.3614378614353861, -0.2419315984494291, -0.2683151762196144, 0.10016766307214925, -0.28142811284335545, -0.10359260387891947, 0.18321035724841558, 0.09537850989135074, 0.062487743231792785, 0.024215309450207927, 0.05224462735553294, -0.1825541699478446, -0.19643458697760782, 0.2732881678614852, 0.057329638893607746, 0.26529553973354225, 0.07037658627188309, 0.0785899737113437, 0.043111355103509025, 0.04415171825716835, 0.0029493668928829045, -0.18634387425168655, 0.06445921855967839, 0.258446451839666, -0.012053587376464938, 0.16038371221877115, -0.3994048994121163, -0.1648096503516616, 0.07719605181198351, 0.18202742101992805, 0.18178992806581867, 0.02429892132491913, -0.28171782010386504, 0.07067720366230365, -0.20055136562130133, -0.20811607180769706, -0.1325811527664015, 0.029408193454633705, 0.03935801261375377, -0.2687482814565788, 0.13933762621376825, -0.011602932716202706, 0.06347322831103622, -0.060604187811529917, -0.13220998701141323, 0.02533435159048802, 0.141984413193842, 0.09187073474966509, 0.03959221801406509, 0.07209988494490295, -0.15753424428619964, -0.048050129482912464, 0.31906956584777596, -0.08037033528603917, -0.15994395549560703, 0.13624889747142185, -0.21604888201799505, -0.1632843750047086, 0.14372957819466328, 0.09698262038575702, 0.10720789283080849, -0.13454383491541172, 0.1180413820182493, 0.0027783133595813674, 0.1443862853420162, 0.03059411799361886, 0.03908048610766093, 0.13542386464947878, 0.06674296796581773, 0.03490804529987102, 0.11686349111381746, -0.05915025361207162, -0.11973271088412053, -0.2878685909604957, -0.10847028423365351, -0.23035042387633692, 0.09676936513549367, -0.1814249395064571, -0.1867985215232989, 0.4025287683186836, 0.13964059720524877, 0.19611416281699096, 0.09547481383873843, 0.2099408628202455, 0.18727819066018211, 0.026846737443837664, 0.08975678971470442, 0.18147076102146922, 0.19253378880188562, 0.0567029122977929, -0.2804184622797292, 0.020842078537138743, 0.12801386297106482]
709.0961
A New Distributed Topology Control Algorithm for Wireless Environments with Non-Uniform Path Loss and Multipath Propagation
Each node in a wireless multi-hop network can adjust the power level at which it transmits and thus change the topology of the network to save energy by choosing the neighbors with which it directly communicates. Many previous algorithms for distributed topology control have assumed an ability at each node to deduce some location-based information such as the direction and the distance of its neighbor nodes with respect to itself. Such a deduction of location-based information, however, cannot be relied upon in real environments where the path loss exponents vary greatly leading to significant errors in distance estimates. Also, multipath effects may result in different signal paths with different loss characteristics, and none of these paths may be line-of-sight, making it difficult to estimate the direction of a neighboring node. In this paper, we present Step Topology Control (STC), a simple distributed topology control algorithm which reduces energy consumption while preserving the connectivity of a heterogeneous sensor network without use of any location-based information. We show that the STC algorithm achieves the same or better order of communication and computational complexity when compared to other known algorithms that also preserve connectivity without the use of location-based information. We also present a detailed simulation-based comparative analysis of the energy savings and interference reduction achieved by the algorithms. The results show that, in spite of not incurring a higher communication or computational complexity, the STC algorithm performs better than other algorithms in uniform wireless environments and especially better when path loss characteristics are non-uniform.
cs.NI
each node in a wireless multihop network can adjust the power level at which it transmits and thus change the topology of the network to save energy by choosing the neighbors with which it directly communicates many previous algorithms for distributed topology control have assumed an ability at each node to deduce some locationbased information such as the direction and the distance of its neighbor nodes with respect to itself such a deduction of locationbased information however cannot be relied upon in real environments where the path loss exponents vary greatly leading to significant errors in distance estimates also multipath effects may result in different signal paths with different loss characteristics and none of these paths may be lineofsight making it difficult to estimate the direction of a neighboring node in this paper we present step topology control stc a simple distributed topology control algorithm which reduces energy consumption while preserving the connectivity of a heterogeneous sensor network without use of any locationbased information we show that the stc algorithm achieves the same or better order of communication and computational complexity when compared to other known algorithms that also preserve connectivity without the use of locationbased information we also present a detailed simulationbased comparative analysis of the energy savings and interference reduction achieved by the algorithms the results show that in spite of not incurring a higher communication or computational complexity the stc algorithm performs better than other algorithms in uniform wireless environments and especially better when path loss characteristics are nonuniform
[['each', 'node', 'in', 'a', 'wireless', 'multihop', 'network', 'can', 'adjust', 'the', 'power', 'level', 'at', 'which', 'it', 'transmits', 'and', 'thus', 'change', 'the', 'topology', 'of', 'the', 'network', 'to', 'save', 'energy', 'by', 'choosing', 'the', 'neighbors', 'with', 'which', 'it', 'directly', 'communicates', 'many', 'previous', 'algorithms', 'for', 'distributed', 'topology', 'control', 'have', 'assumed', 'an', 'ability', 'at', 'each', 'node', 'to', 'deduce', 'some', 'locationbased', 'information', 'such', 'as', 'the', 'direction', 'and', 'the', 'distance', 'of', 'its', 'neighbor', 'nodes', 'with', 'respect', 'to', 'itself', 'such', 'a', 'deduction', 'of', 'locationbased', 'information', 'however', 'can', 'not', 'be', 'relied', 'upon', 'in', 'real', 'environments', 'where', 'the', 'path', 'loss', 'exponents', 'vary', 'greatly', 'leading', 'to', 'significant', 'errors', 'in', 'distance', 'estimates', 'also', 'multipath', 'effects', 'may', 'result', 'in', 'different', 'signal', 'paths', 'with', 'different', 'loss', 'characteristics', 'and', 'none', 'of', 'these', 'paths', 'may', 'be', 'lineofsight', 'making', 'it', 'difficult', 'to', 'estimate', 'the', 'direction', 'of', 'a', 'neighboring', 'node', 'in', 'this', 'paper', 'we', 'present', 'step', 'topology', 'control', 'stc', 'a', 'simple', 'distributed', 'topology', 'control', 'algorithm', 'which', 'reduces', 'energy', 'consumption', 'while', 'preserving', 'the', 'connectivity', 'of', 'a', 'heterogeneous', 'sensor', 'network', 'without', 'use', 'of', 'any', 'locationbased', 'information', 'we', 'show', 'that', 'the', 'stc', 'algorithm', 'achieves', 'the', 'same', 'or', 'better', 'order', 'of', 'communication', 'and', 'computational', 'complexity', 'when', 'compared', 'to', 'other', 'known', 'algorithms', 'that', 'also', 'preserve', 'connectivity', 'without', 'the', 'use', 'of', 'locationbased', 'information', 'we', 'also', 'present', 'a', 'detailed', 'simulationbased', 'comparative', 'analysis', 'of', 'the', 'energy', 'savings', 'and', 'interference', 'reduction', 'achieved', 'by', 'the', 'algorithms', 'the', 'results', 'show', 'that', 'in', 'spite', 'of', 'not', 'incurring', 'a', 'higher', 'communication', 'or', 'computational', 'complexity', 'the', 'stc', 'algorithm', 'performs', 'better', 'than', 'other', 'algorithms', 'in', 'uniform', 'wireless', 'environments', 'and', 'especially', 'better', 'when', 'path', 'loss', 'characteristics', 'are', 'nonuniform']]
[-0.15805746072152327, 0.04744609438759236, -0.05111241899246696, 0.036734310677505135, -0.11527940553333242, -0.17899497834737357, 0.10906251952035552, 0.42342368189453444, -0.3079620855068972, -0.3463169086815167, 0.07590136071160922, -0.262421135174059, -0.17068242529069402, 0.1715149969035546, -0.12003073762373431, 0.047344218791607884, 0.09236866938826359, 0.08801336892744298, -0.055906228244437174, -0.2684481790355543, 0.25869848757524183, 0.09770698894161305, 0.32472272521425993, 0.0444728587965735, 0.07865752136931117, 0.025597391649160403, -0.03286364302223202, 0.030905490792209188, -0.07007559790528953, 0.12621235528136254, 0.2724178129413235, 0.15818003178739795, 0.3023133113126274, -0.4433213317906668, -0.26648891473413544, 0.12697957317931982, 0.16874756469122565, 0.09872608004725011, -0.022715391855196394, -0.2706058936436539, 0.1264190052547621, -0.18290952889510087, -0.06478671008261315, -0.03915423627670398, -0.04170112556818387, 0.055773331840079016, -0.2692012028315881, 0.017790329775689243, 0.033183419346264585, 0.024362870668734722, -0.01702489546571928, -0.07360271063611176, -0.026188268550771027, 0.19036902328368768, 0.020850923424034485, 0.044051777303293384, 0.133928092708259, -0.12798031599614254, -0.1485311827638919, 0.3793838812340154, 0.0058973205761626004, -0.22510608429413126, 0.19064210059228004, -0.07492468109457448, -0.13832442594412347, 0.1405753897854565, 0.21514583817083138, 0.07157249706535022, -0.1482379194189152, 0.027882196401658177, 0.03053140772134802, 0.177767762789142, 0.05892105354732381, 0.11005700422126961, 0.11216670063421132, 0.16942703888453395, 0.18086747211204443, 0.09723342575635319, -0.08282448215181884, -0.10562065025522804, -0.2062145597246207, -0.1357939018897359, -0.20412653067660896, 0.0002441512327135095, -0.15995953278696595, -0.11567055356409033, 0.3864149662561111, 0.186501419323537, 0.19876032201904553, 0.0971381617521337, 0.37317449655457446, 0.07148464435937892, 0.08997215013104407, 0.155816833735278, 0.19890838194320534, 0.04304104698306546, 0.12948920546958165, -0.19645458840849725, 0.13545979841763206, -0.002622224894819759]
709.0962
An Estimation of the Gamma-Ray Burst Afterglow Apparent Optical Brightness Distribution Function
By using recent publicly available observational data obtained in conjunction with the NASA Swift gamma-ray burst mission and a novel data analysis technique, we have been able to make some rough estimates of the GRB afterglow apparent optical brightness distribution function. The results suggest that 71% of all burst afterglows have optical magnitudes with mR < 22.1 at 1000 seconds after the burst onset, the dimmest detected object in the data sample. There is a strong indication that the apparent optical magnitude distribution function peaks at mR ~ 19.5. Such estimates may prove useful in guiding future plans to improve GRB counterpart observation programs. The employed numerical techniques might find application in a variety of other data analysis problems in which the intrinsic distributions must be inferred from a heterogeneous sample.
astro-ph
by using recent publicly available observational data obtained in conjunction with the nasa swift gammaray burst mission and a novel data analysis technique we have been able to make some rough estimates of the grb afterglow apparent optical brightness distribution function the results suggest that 71 of all burst afterglows have optical magnitudes with mr 221 at 1000 seconds after the burst onset the dimmest detected object in the data sample there is a strong indication that the apparent optical magnitude distribution function peaks at mr 195 such estimates may prove useful in guiding future plans to improve grb counterpart observation programs the employed numerical techniques might find application in a variety of other data analysis problems in which the intrinsic distributions must be inferred from a heterogeneous sample
[['by', 'using', 'recent', 'publicly', 'available', 'observational', 'data', 'obtained', 'in', 'conjunction', 'with', 'the', 'nasa', 'swift', 'gammaray', 'burst', 'mission', 'and', 'a', 'novel', 'data', 'analysis', 'technique', 'we', 'have', 'been', 'able', 'to', 'make', 'some', 'rough', 'estimates', 'of', 'the', 'grb', 'afterglow', 'apparent', 'optical', 'brightness', 'distribution', 'function', 'the', 'results', 'suggest', 'that', '71', 'of', 'all', 'burst', 'afterglows', 'have', 'optical', 'magnitudes', 'with', 'mr', '221', 'at', '1000', 'seconds', 'after', 'the', 'burst', 'onset', 'the', 'dimmest', 'detected', 'object', 'in', 'the', 'data', 'sample', 'there', 'is', 'a', 'strong', 'indication', 'that', 'the', 'apparent', 'optical', 'magnitude', 'distribution', 'function', 'peaks', 'at', 'mr', '195', 'such', 'estimates', 'may', 'prove', 'useful', 'in', 'guiding', 'future', 'plans', 'to', 'improve', 'grb', 'counterpart', 'observation', 'programs', 'the', 'employed', 'numerical', 'techniques', 'might', 'find', 'application', 'in', 'a', 'variety', 'of', 'other', 'data', 'analysis', 'problems', 'in', 'which', 'the', 'intrinsic', 'distributions', 'must', 'be', 'inferred', 'from', 'a', 'heterogeneous', 'sample']]
[-0.04133794172269891, 0.06763917587105503, -0.12067110972955476, 0.13133695152274139, -0.13648915993475694, -0.11117418756159816, 0.05888682213438631, 0.46832671675239074, -0.20828445175980298, -0.3904418215307212, 0.1153255973079841, -0.3398285644461018, -0.055626183582195475, 0.2775703719275635, -0.03937262842114004, 0.06821277143448129, 0.15303716527897315, -0.06612141087268616, -0.08519162983785189, -0.2456612000368218, 0.22475894409062183, 0.07805994078300374, 0.2863496061028234, -0.008002067656191282, 0.06859539723918998, -0.011722161986886762, -0.09324681098291347, -0.012965556703392387, -0.14154217837686567, 0.04057374834841074, 0.28399757402154885, 0.14113763691189649, 0.23198155982621996, -0.38935725520806685, -0.24471484545064195, 0.10505243791585388, 0.13575635417256243, 0.04767869259393232, -0.0712007110274682, -0.31757514248060625, 0.059696274342975586, -0.1670331550624886, -0.16445475715291938, 0.0060231061941084935, 0.05341690740829637, 0.04935342112426148, -0.2177594663699829, 0.09491183674107342, -0.021144072558142445, 0.09611982433125377, -0.12303997173746542, -0.06795146101147168, 0.0026428200586070846, 0.05271319215106525, 0.05690045685637309, 0.09408219530456519, 0.10747723744878936, -0.1068397658433072, -0.0979769137334223, 0.34757775158527515, -0.07443942749049774, 0.012181343842846479, 0.16023298925106494, -0.18782928872261515, -0.16582517359449073, 0.1737464241640166, 0.14725516795707766, 0.06824698066338897, -0.18097481146353736, -0.04042260556313924, 0.005438355456445684, 0.18758877638236496, -0.004581504822672568, 0.06868516512633871, 0.24830504059947237, 0.13968439115745615, -0.0004547116086753302, 0.11103193955125952, -0.22721925946746685, 0.049829852792557125, -0.2810179659187101, -0.06873292557745378, -0.17285493010647826, 0.06822639543296004, -0.12855014854727598, -0.09253584304752276, 0.3605568740217289, 0.17441270675766463, 0.20265057296744843, 0.042405667886239035, 0.27917368042954177, 0.0786803824892051, 0.11966641484073891, 0.09339681424222193, 0.30542366664568793, 0.058422438589162955, 0.13070686849541674, -0.1615141184265949, 0.1256954887089529, -0.021267823566314438]
709.0963
Enhanced sensitivity to variation of $m_{e}/m_{p}$ in molecular spectra
We propose new experiments with high sensitivity to a possible spatial or temporal variation of the electron-to-proton mass ratio $\mu \equiv m_e/m_p$. We consider a nearly-degenerate pair of molecular vibrational levels, where each state is associated with a different electronic potential. The change in the splitting between such levels, with respect to a change in $\mu$, can be large both on an absolute scale and relative to the splitting. We demonstrate the existence of such pairs of levels in Cs$_2$. The narrow spectral lines achievable with ultracold Cs$_2$ in these long-lived levels make this system promising for future searches for small variations in $\mu$.
physics.atom-ph
we propose new experiments with high sensitivity to a possible spatial or temporal variation of the electrontoproton mass ratio mu equiv m_em_p we consider a nearlydegenerate pair of molecular vibrational levels where each state is associated with a different electronic potential the change in the splitting between such levels with respect to a change in mu can be large both on an absolute scale and relative to the splitting we demonstrate the existence of such pairs of levels in cs_2 the narrow spectral lines achievable with ultracold cs_2 in these longlived levels make this system promising for future searches for small variations in mu
[['we', 'propose', 'new', 'experiments', 'with', 'high', 'sensitivity', 'to', 'a', 'possible', 'spatial', 'or', 'temporal', 'variation', 'of', 'the', 'electrontoproton', 'mass', 'ratio', 'mu', 'equiv', 'm_em_p', 'we', 'consider', 'a', 'nearlydegenerate', 'pair', 'of', 'molecular', 'vibrational', 'levels', 'where', 'each', 'state', 'is', 'associated', 'with', 'a', 'different', 'electronic', 'potential', 'the', 'change', 'in', 'the', 'splitting', 'between', 'such', 'levels', 'with', 'respect', 'to', 'a', 'change', 'in', 'mu', 'can', 'be', 'large', 'both', 'on', 'an', 'absolute', 'scale', 'and', 'relative', 'to', 'the', 'splitting', 'we', 'demonstrate', 'the', 'existence', 'of', 'such', 'pairs', 'of', 'levels', 'in', 'cs_2', 'the', 'narrow', 'spectral', 'lines', 'achievable', 'with', 'ultracold', 'cs_2', 'in', 'these', 'longlived', 'levels', 'make', 'this', 'system', 'promising', 'for', 'future', 'searches', 'for', 'small', 'variations', 'in', 'mu']]
[-0.14336970791471407, 0.1760759961248718, 0.01371694636495354, 0.05029056105782869, 0.01833227191057701, -0.11064181853166352, 0.06532522783919166, 0.40124691859818995, -0.2678765922677345, -0.33618147340166615, 0.020043704984485745, -0.257248068604475, -0.04486030831601685, 0.13394036734825931, -0.004464220676499491, 0.030192886132751413, 0.046945755974425435, 0.010628785496989552, -0.07431825256711679, -0.14075226112394235, 0.31567896467346984, 0.06895168150703494, 0.2609284775904738, 0.1121140383855583, 0.08706373083987273, -0.05364261352448151, 0.03918785861326167, -0.016759294076249577, -0.12184105564525592, 0.12703215058158654, 0.22637712789359143, 0.07208345969579219, 0.24524086708417878, -0.3625519554524754, -0.15447474669557637, 0.16033556596196902, 0.13230385687963392, 0.09271008075134327, -0.0426225794239704, -0.2859452781267464, 0.09010002953660799, -0.15108465597642443, -0.11215774858227143, -0.09674844206445134, 0.032645392880882494, 0.07099467663703343, -0.2977755055941928, 0.08706494331440459, -0.05302707250463685, 0.062076180340507284, -0.08115287949868406, -0.16074076807014465, -0.004382532380986959, 0.11261108774879876, 0.03995056205111233, 0.0010401713975275366, 0.11164779895961356, -0.12421177477459913, -0.11037089015231825, 0.39678579790947527, -0.18193848884682387, -0.2062360530701251, 0.23966290739526114, -0.17376107675059196, -0.1520953780004325, 0.14819387547098672, 0.179829574494551, 0.11908184994424048, -0.07750312373257028, 0.0436763151827528, 0.022862514525723573, 0.21654768658313864, 0.0806138921470847, 0.12106730977673298, 0.24305815373260814, 0.18040878297940183, 0.09924496018077032, 0.12014763735295184, -0.1893630305046547, -0.05366232775458439, -0.2740544094883192, -0.1734261880718315, -0.12424171447212128, 0.055332185647925004, -0.05513275771996772, -0.1125701709310166, 0.39240965599982214, 0.10692598133419569, 0.2786956630969563, -0.025096922038266294, 0.27409344325916696, 0.14537110265630943, 0.05419102328148885, -0.0041322926229510745, 0.23110718808423442, 0.07905221708978598, 0.0554990944533179, -0.2934310424472922, 0.01910535716272604, -0.048766506679105356]
709.0964
Computing quantum phase transitions
This article first gives a concise introduction to quantum phase transitions, emphasizing similarities with and differences to classical thermal transitions. After pointing out the computational challenges posed by quantum phase transitions, a number of successful computational approaches is discussed. The focus is on classical and quantum Monte Carlo methods, with the former being based on the quantum-to classical mapping while the latter directly attack the quantum problem. These methods are illustrated by several examples of quantum phase transitions in clean and disordered systems.
cond-mat.stat-mech cond-mat.str-el
this article first gives a concise introduction to quantum phase transitions emphasizing similarities with and differences to classical thermal transitions after pointing out the computational challenges posed by quantum phase transitions a number of successful computational approaches is discussed the focus is on classical and quantum monte carlo methods with the former being based on the quantumto classical mapping while the latter directly attack the quantum problem these methods are illustrated by several examples of quantum phase transitions in clean and disordered systems
[['this', 'article', 'first', 'gives', 'a', 'concise', 'introduction', 'to', 'quantum', 'phase', 'transitions', 'emphasizing', 'similarities', 'with', 'and', 'differences', 'to', 'classical', 'thermal', 'transitions', 'after', 'pointing', 'out', 'the', 'computational', 'challenges', 'posed', 'by', 'quantum', 'phase', 'transitions', 'a', 'number', 'of', 'successful', 'computational', 'approaches', 'is', 'discussed', 'the', 'focus', 'is', 'on', 'classical', 'and', 'quantum', 'monte', 'carlo', 'methods', 'with', 'the', 'former', 'being', 'based', 'on', 'the', 'quantumto', 'classical', 'mapping', 'while', 'the', 'latter', 'directly', 'attack', 'the', 'quantum', 'problem', 'these', 'methods', 'are', 'illustrated', 'by', 'several', 'examples', 'of', 'quantum', 'phase', 'transitions', 'in', 'clean', 'and', 'disordered', 'systems']]
[-0.08967587125215043, 0.15618234902773642, -0.05601128714624792, 0.06992948245081096, -0.03428778136376201, -0.18501966730577918, 0.08601084004849105, 0.33709119042245356, -0.25677198058039674, -0.29281128807811113, 0.11366048838273145, -0.3056772543094689, -0.18424990496075735, 0.2125086206488493, -0.050828718165753455, 0.10186144217803347, 0.05376363246099705, -0.0248205260623519, -0.13663833539524092, -0.25977366217752784, 0.30649515659343907, 0.05659383542057717, 0.28312756286979446, 0.029832401281654288, 0.062287150165236484, -0.026857056376728708, -0.03561347578588317, 0.01624424929344436, -0.13859207662129094, 0.08731612937791818, 0.29474247294682554, 0.06491865660063922, 0.26089717053649264, -0.4430248865903151, -0.2324490047786839, 0.06711450984656084, 0.09676562960361834, 0.1677582211900366, -0.07182851881527047, -0.34907938552475193, 0.001318817816265836, -0.106235817964927, -0.06590206531535198, -0.10989955109657674, -0.02773326106096913, -0.006574759040476482, -0.14953358056983435, 0.0594820464370636, 0.06628508488761216, 0.08764419332146645, 0.0545086603020403, -0.10360737587893154, 0.0730638161994426, 0.10596299702983077, 0.012557384210195756, 0.015893002353018014, 0.11155271104241653, -0.11918085830274788, -0.19666969289054823, 0.4167137437659066, 0.038225380249503185, -0.1585081756660124, 0.22222405250706687, -0.057697256129780196, -0.15787423762390618, 0.1404261508638539, 0.07722212252684119, 0.10020066914716508, -0.11612627785880028, 0.09707025357695273, 0.07741509548320276, 0.13513683210121377, -0.034617453364927955, 0.03525845240801573, 0.21017945028568913, 0.1604363402442598, 0.014923466994177277, 0.19022756937618662, -0.06115343943578986, -0.2631198939208577, -0.2745396061005389, -0.17324201604805706, -0.20216200374373486, 0.024901176416655867, -0.036285020211724306, -0.15386697257266993, 0.3953842441664963, 0.16619628040111487, 0.17575502433109938, 0.013347521966618554, 0.34286744776749756, 0.11629416968775685, -0.025382478997571303, 0.007404867409183303, 0.23748123954708983, 0.16426747047524082, 0.11111253592265179, -0.23486473820762846, 0.038326654563339925, 0.08980744243201959]
709.0965
The Induced Bounded-Degree Subgraph Problem and Stream Control in MIMO Networks
In this report, we consider maximal solutions to the induced bounded-degree subgraph problem and relate it to issues concerning stream control in multiple-input multiple-output (MIMO) networks. We present a new distributed algorithm that completes in logarithmic time with high probability and is guaranteed to complete in linear time. We conclude the report with simulation results that address the effectiveness of stream control and the relative impact of receiver overloading and flexible interference suppression.
cs.NI
in this report we consider maximal solutions to the induced boundeddegree subgraph problem and relate it to issues concerning stream control in multipleinput multipleoutput mimo networks we present a new distributed algorithm that completes in logarithmic time with high probability and is guaranteed to complete in linear time we conclude the report with simulation results that address the effectiveness of stream control and the relative impact of receiver overloading and flexible interference suppression
[['in', 'this', 'report', 'we', 'consider', 'maximal', 'solutions', 'to', 'the', 'induced', 'boundeddegree', 'subgraph', 'problem', 'and', 'relate', 'it', 'to', 'issues', 'concerning', 'stream', 'control', 'in', 'multipleinput', 'multipleoutput', 'mimo', 'networks', 'we', 'present', 'a', 'new', 'distributed', 'algorithm', 'that', 'completes', 'in', 'logarithmic', 'time', 'with', 'high', 'probability', 'and', 'is', 'guaranteed', 'to', 'complete', 'in', 'linear', 'time', 'we', 'conclude', 'the', 'report', 'with', 'simulation', 'results', 'that', 'address', 'the', 'effectiveness', 'of', 'stream', 'control', 'and', 'the', 'relative', 'impact', 'of', 'receiver', 'overloading', 'and', 'flexible', 'interference', 'suppression']]
[-0.24462271013539538, 0.021912896182796317, -0.012305834777142904, -0.00545113506943804, -0.08300859700531175, -0.1452329722871009, 0.08538580401234444, 0.3800018892865883, -0.2790303237940351, -0.28180378842588566, 0.09916122059962929, -0.25460985564460903, -0.20194695155098014, 0.1499903581985464, -0.143176827311822, 0.12023056852184746, 0.07808807701484798, -0.014840028912135183, -0.023798622924528303, -0.25903833027584605, 0.3250777526991442, 0.0867597154430943, 0.30231993118530676, 0.07951580107926506, 0.12235515339504162, 0.02569968835769655, -0.0773048934411921, -0.024560856467036353, -0.13002797931034837, 0.06112193315423872, 0.30770643917869217, 0.1998336830189171, 0.29609411475184844, -0.4319678325308104, -0.20054430744215235, 0.13175500156230305, 0.16193448100239038, 0.09468679313790308, -0.10199481057487939, -0.24836726575987797, 0.1531916336787941, -0.19904128830777865, -0.11018504309531761, -0.015246151129983058, -0.04585248592934788, 0.0342341265960099, -0.2982045795691952, 0.07704688794273015, 0.046030320224455044, 0.037987954027899735, -0.03042153512727316, -0.08854354974137593, 0.0895805303517678, 0.09426735141250776, 0.01663674244638022, 0.018921132301528976, 0.053124127348196014, -0.11935005311803153, -0.17873499585851416, 0.3482129935379306, -0.0660836633856166, -0.20723213215856112, 0.14396651267163355, -0.16312488962015878, -0.1644654290731486, 0.12450964093744142, 0.2741049764460999, 0.10902792673991764, -0.14645110276106693, 0.06950721943636157, -0.016789873054072466, 0.17402254397763986, 0.0463893361874435, 0.10165486262141638, 0.10670944738316618, 0.20766763269186836, 0.16763810988209427, 0.20022267228541002, -0.08155394929512212, -0.10881874451337203, -0.2392637051565394, -0.14059946014966868, -0.14221690028701742, -0.009549594624605898, -0.08196319369136751, -0.12356919878200717, 0.3912918772803594, 0.20894408995311145, 0.17637044095038756, 0.14007534130080923, 0.341293480744815, 0.08905977596311945, 0.016717459011363657, 0.14323199301167097, 0.19467291742410153, 0.11687186985493522, 0.09624486372563733, -0.265930522048259, 0.064502612837552, -0.02413361984598514]
709.0966
Can giant planets form by gravitational fragmentation of discs?
Gravitational fragmentation has been proposed as a mechanism for the formation of giant planets in close orbits around solar-type stars. However, it is debatable whether this mechanism can function in the inner regions (R<40 AU) of real discs. We use a newly developed method for treating the energy equation and the equation of state, which accounts for radiative transfer effects in SPH simulations of circumstellar discs. The different chemical and internal states of hydrogen and the properties of dust at different densities and temperatures (ice coated dust grains at low temperatures, ice melting, dust sublimation) are all taken into account by the new method.We present radiative hydrodynamic simulations of the inner regions of massive circumstellar discs and examine two cases: (i) a disc irradiated by a cool background radiation field (T_bgr=10K)and (ii) a disc heated by radiation from its central star (T_bgr~1/R). In neither case does the disc fragment: in the former because it cannot cool fast enough and in the latter because it is not gravitationally unstable. Our results (a) corroborate previous numerical results using different treatments for the hydrodynamics and the radiative transfer, and (b) confirm our own earlier analytic predictions. We conclude that disc fragmentation is unlikely to be able to produce giant planets around solar-type stars at radii <40 AU.
astro-ph
gravitational fragmentation has been proposed as a mechanism for the formation of giant planets in close orbits around solartype stars however it is debatable whether this mechanism can function in the inner regions r40 au of real discs we use a newly developed method for treating the energy equation and the equation of state which accounts for radiative transfer effects in sph simulations of circumstellar discs the different chemical and internal states of hydrogen and the properties of dust at different densities and temperatures ice coated dust grains at low temperatures ice melting dust sublimation are all taken into account by the new methodwe present radiative hydrodynamic simulations of the inner regions of massive circumstellar discs and examine two cases i a disc irradiated by a cool background radiation field t_bgr10kand ii a disc heated by radiation from its central star t_bgr1r in neither case does the disc fragment in the former because it cannot cool fast enough and in the latter because it is not gravitationally unstable our results a corroborate previous numerical results using different treatments for the hydrodynamics and the radiative transfer and b confirm our own earlier analytic predictions we conclude that disc fragmentation is unlikely to be able to produce giant planets around solartype stars at radii 40 au
[['gravitational', 'fragmentation', 'has', 'been', 'proposed', 'as', 'a', 'mechanism', 'for', 'the', 'formation', 'of', 'giant', 'planets', 'in', 'close', 'orbits', 'around', 'solartype', 'stars', 'however', 'it', 'is', 'debatable', 'whether', 'this', 'mechanism', 'can', 'function', 'in', 'the', 'inner', 'regions', 'r40', 'au', 'of', 'real', 'discs', 'we', 'use', 'a', 'newly', 'developed', 'method', 'for', 'treating', 'the', 'energy', 'equation', 'and', 'the', 'equation', 'of', 'state', 'which', 'accounts', 'for', 'radiative', 'transfer', 'effects', 'in', 'sph', 'simulations', 'of', 'circumstellar', 'discs', 'the', 'different', 'chemical', 'and', 'internal', 'states', 'of', 'hydrogen', 'and', 'the', 'properties', 'of', 'dust', 'at', 'different', 'densities', 'and', 'temperatures', 'ice', 'coated', 'dust', 'grains', 'at', 'low', 'temperatures', 'ice', 'melting', 'dust', 'sublimation', 'are', 'all', 'taken', 'into', 'account', 'by', 'the', 'new', 'methodwe', 'present', 'radiative', 'hydrodynamic', 'simulations', 'of', 'the', 'inner', 'regions', 'of', 'massive', 'circumstellar', 'discs', 'and', 'examine', 'two', 'cases', 'i', 'a', 'disc', 'irradiated', 'by', 'a', 'cool', 'background', 'radiation', 'field', 't_bgr10kand', 'ii', 'a', 'disc', 'heated', 'by', 'radiation', 'from', 'its', 'central', 'star', 't_bgr1r', 'in', 'neither', 'case', 'does', 'the', 'disc', 'fragment', 'in', 'the', 'former', 'because', 'it', 'can', 'not', 'cool', 'fast', 'enough', 'and', 'in', 'the', 'latter', 'because', 'it', 'is', 'not', 'gravitationally', 'unstable', 'our', 'results', 'a', 'corroborate', 'previous', 'numerical', 'results', 'using', 'different', 'treatments', 'for', 'the', 'hydrodynamics', 'and', 'the', 'radiative', 'transfer', 'and', 'b', 'confirm', 'our', 'own', 'earlier', 'analytic', 'predictions', 'we', 'conclude', 'that', 'disc', 'fragmentation', 'is', 'unlikely', 'to', 'be', 'able', 'to', 'produce', 'giant', 'planets', 'around', 'solartype', 'stars', 'at', 'radii', '40', 'au']]
[-0.04537932718819786, 0.1384655561884581, -0.08249648910960261, 0.09259379755141554, -0.059820517144458886, -0.05064075190558627, 0.013698890512019939, 0.3808039876767937, -0.1740177795487705, -0.31060936143228285, 0.05081911289959516, -0.252623157225934, -0.0435694299677623, 0.16785628682203557, -0.020475408528000116, 0.0032955256108732397, 0.08891758626106112, -0.09823788225021161, -0.018892755233485933, -0.23629768731448572, 0.3298693635711936, 0.09649830796873905, 0.1068535528720702, 0.045608733757453675, 0.01821056302164642, -0.12434761291271416, -0.025042201694048628, -0.03672068305974401, -0.19173710530054972, 0.001403854428320476, 0.21399077092638422, 0.07960450758025085, 0.23082827608004877, -0.45678412712708183, -0.27107674505412926, 0.025079423946464004, 0.17929229956828582, 0.10323729367211829, -0.07061536076870537, -0.2107231072292274, 0.09450867058088382, -0.19625916562432275, -0.16380717439091647, -0.0006040600910039505, 0.06415178972797057, -0.01424259277653089, -0.27438605839644553, 0.08385677041568981, 0.11045872230528736, 0.05833003561104268, -0.1272181932723692, -0.12086183321006386, -0.10196545828098842, 0.06528752115598832, 0.03394601736195875, 0.025091300226590584, 0.2354804022672713, -0.11171175047051284, 0.004039884437785042, 0.39894303143409215, -0.07966482389976266, -0.10032938429954606, 0.29042818981874297, -0.23525046673166114, -0.09618672791118581, 0.21914571207322775, 0.14486019691657886, 0.1848225101955375, -0.14153942138070302, 0.011590563625609939, -0.024984168457173404, 0.15897378802491885, 0.07483383774879812, -0.010321111424865437, 0.3814726301601174, 0.1214926343699786, -0.042431904403645845, 0.12222332974618187, -0.16087722826416784, -0.10710590693579349, -0.22311892726856497, -0.13370323416169191, -0.15792248610619175, 0.035490930565545975, -0.096089697267506, -0.12557701983799538, 0.29144929704079275, 0.1306914084726516, 0.19038949381262762, 0.014134394084190854, 0.34114324077395414, 0.05344510265678482, 0.11970883879964699, 0.15929375327642606, 0.3044760965702819, 0.1766870743135961, 0.11776534162632281, -0.2794368253854659, 0.07831975839761011, 0.00223709560576564]
709.0967
Fault Tolerance in Cellular Automata at High Fault Rates
A commonly used model for fault-tolerant computation is that of cellular automata. The essential difficulty of fault-tolerant computation is present in the special case of simply remembering a bit in the presence of faults, and that is the case we treat in this paper. We are concerned with the degree (the number of neighboring cells on which the state transition function depends) needed to achieve fault tolerance when the fault rate is high (nearly 1/2). We consider both the traditional transient fault model (where faults occur independently in time and space) and a recently introduced combined fault model which also includes manufacturing faults (which occur independently in space, but which affect cells for all time). We also consider both a purely probabilistic fault model (in which the states of cells are perturbed at exactly the fault rate) and an adversarial model (in which the occurrence of a fault gives control of the state to an omniscient adversary). We show that there are cellular automata that can tolerate a fault rate $1/2 - \xi$ (with $\xi>0$) with degree $O((1/\xi^2)\log(1/\xi))$, even with adversarial combined faults. The simplest such automata are based on infinite regular trees, but our results also apply to other structures (such as hyperbolic tessellations) that contain infinite regular trees. We also obtain a lower bound of $\Omega(1/\xi^2)$, even with purely probabilistic transient faults only.
math.PR
a commonly used model for faulttolerant computation is that of cellular automata the essential difficulty of faulttolerant computation is present in the special case of simply remembering a bit in the presence of faults and that is the case we treat in this paper we are concerned with the degree the number of neighboring cells on which the state transition function depends needed to achieve fault tolerance when the fault rate is high nearly 12 we consider both the traditional transient fault model where faults occur independently in time and space and a recently introduced combined fault model which also includes manufacturing faults which occur independently in space but which affect cells for all time we also consider both a purely probabilistic fault model in which the states of cells are perturbed at exactly the fault rate and an adversarial model in which the occurrence of a fault gives control of the state to an omniscient adversary we show that there are cellular automata that can tolerate a fault rate 12 xi with xi0 with degree o1xi2log1xi even with adversarial combined faults the simplest such automata are based on infinite regular trees but our results also apply to other structures such as hyperbolic tessellations that contain infinite regular trees we also obtain a lower bound of omega1xi2 even with purely probabilistic transient faults only
[['a', 'commonly', 'used', 'model', 'for', 'faulttolerant', 'computation', 'is', 'that', 'of', 'cellular', 'automata', 'the', 'essential', 'difficulty', 'of', 'faulttolerant', 'computation', 'is', 'present', 'in', 'the', 'special', 'case', 'of', 'simply', 'remembering', 'a', 'bit', 'in', 'the', 'presence', 'of', 'faults', 'and', 'that', 'is', 'the', 'case', 'we', 'treat', 'in', 'this', 'paper', 'we', 'are', 'concerned', 'with', 'the', 'degree', 'the', 'number', 'of', 'neighboring', 'cells', 'on', 'which', 'the', 'state', 'transition', 'function', 'depends', 'needed', 'to', 'achieve', 'fault', 'tolerance', 'when', 'the', 'fault', 'rate', 'is', 'high', 'nearly', '12', 'we', 'consider', 'both', 'the', 'traditional', 'transient', 'fault', 'model', 'where', 'faults', 'occur', 'independently', 'in', 'time', 'and', 'space', 'and', 'a', 'recently', 'introduced', 'combined', 'fault', 'model', 'which', 'also', 'includes', 'manufacturing', 'faults', 'which', 'occur', 'independently', 'in', 'space', 'but', 'which', 'affect', 'cells', 'for', 'all', 'time', 'we', 'also', 'consider', 'both', 'a', 'purely', 'probabilistic', 'fault', 'model', 'in', 'which', 'the', 'states', 'of', 'cells', 'are', 'perturbed', 'at', 'exactly', 'the', 'fault', 'rate', 'and', 'an', 'adversarial', 'model', 'in', 'which', 'the', 'occurrence', 'of', 'a', 'fault', 'gives', 'control', 'of', 'the', 'state', 'to', 'an', 'omniscient', 'adversary', 'we', 'show', 'that', 'there', 'are', 'cellular', 'automata', 'that', 'can', 'tolerate', 'a', 'fault', 'rate', '12', 'xi', 'with', 'xi0', 'with', 'degree', 'o1xi2log1xi', 'even', 'with', 'adversarial', 'combined', 'faults', 'the', 'simplest', 'such', 'automata', 'are', 'based', 'on', 'infinite', 'regular', 'trees', 'but', 'our', 'results', 'also', 'apply', 'to', 'other', 'structures', 'such', 'as', 'hyperbolic', 'tessellations', 'that', 'contain', 'infinite', 'regular', 'trees', 'we', 'also', 'obtain', 'a', 'lower', 'bound', 'of', 'omega1xi2', 'even', 'with', 'purely', 'probabilistic', 'transient', 'faults', 'only']]
[-0.1664068458564076, 0.12214290508321331, 0.006796789905140261, 0.06173148886080378, -0.019200725703256892, -0.1866635873028589, 0.0902034233042106, 0.3540626651531941, -0.24993014896103927, -0.28191186828740145, 0.1267210018117325, -0.24028167915467574, -0.18378272185286693, 0.18047264083141779, -0.11966571784845705, 0.06639729962088503, 0.039891147297525964, 0.08730953817490723, 0.023069181964053092, -0.28104655955800667, 0.2839545881111376, 0.06301703559117275, 0.2618078728592409, 0.003997526160936366, 0.08089395779707292, 0.01797070396384476, 0.03090672480856983, 0.0488454755854495, -0.10350136763208702, 0.06933092672733364, 0.2735396478249616, 0.10420219547341804, 0.2366696680247834, -0.45998149152073237, -0.2312797024800979, 0.14952322497842246, 0.12027024996659912, 0.15479630626515728, -0.018126364446010207, -0.23950827082509998, 0.14122089809058486, -0.19054538049844727, -0.08410625394878422, -0.041951734188793076, 0.00674863521278173, 0.04147686739766819, -0.24692328083370854, 0.06698347721196425, 0.11731791361402888, 0.03401256500332205, -0.05038641217093378, -0.059211543949975354, -0.023862661427801458, 0.12109042328705294, -0.018389918386772577, 0.022743273717309307, 0.11779642334262429, -0.09933036407938244, -0.16864201010347488, 0.3607583221232703, -0.0024414727808320306, -0.2294074443445818, 0.1960387556165507, -0.09768178417433372, -0.18053527832501107, 0.13664668030577484, 0.1893758928489259, 0.10474939653356266, -0.107940529543198, 0.07272486704682747, 0.0026145113237739147, 0.19637518236833112, 0.06620327042214372, 0.02949396021840339, 0.1383445732733906, 0.1773015027981134, 0.0989755341669897, 0.17669485017645745, -0.08707510222059985, -0.09662217731185903, -0.28628459508186793, -0.14794185990992062, -0.1446324833464255, 0.02197410055092192, -0.08292158673856163, -0.24121819635767172, 0.3831597555823087, 0.17083101365757217, 0.19453704976193556, 0.11477896537073795, 0.2973012235193924, 0.10657754932610981, 0.05762975786913287, 0.10892885425002188, 0.19745805881852452, 0.060667019533538806, 0.023684724678730104, -0.159079345163411, 0.1380230479135371, 0.039953528439861025]
709.0968
Characteristics of EGRET Blazars in the VLBA Imaging and Polarimetry Survey (VIPS)
We examine the radio properties of EGRET-detected blazars observed as part of the VLBA Imaging and Polarimetry Survey (VIPS). VIPS has a flux limit roughly an order of magnitude below the MOJAVE survey and most other samples that have been used to study the properties of EGRET blazars. At lower flux levels, radio flux density does not directly correlate with gamma-ray flux density. We do find that the EGRET-detected blazars tend to have higher brightness temperatures, greater core fractions, and possibly larger than average jet opening angles. A weak correlation is also found with jet length and with polarization. All of the well-established trends can be explained by systematically larger Doppler factors in the gamma-ray loud blazars, consistent with the measurements of higher apparent velocities found in monitoring programs carried out at radio frequencies above 10 GHz.
astro-ph
we examine the radio properties of egretdetected blazars observed as part of the vlba imaging and polarimetry survey vips vips has a flux limit roughly an order of magnitude below the mojave survey and most other samples that have been used to study the properties of egret blazars at lower flux levels radio flux density does not directly correlate with gammaray flux density we do find that the egretdetected blazars tend to have higher brightness temperatures greater core fractions and possibly larger than average jet opening angles a weak correlation is also found with jet length and with polarization all of the wellestablished trends can be explained by systematically larger doppler factors in the gammaray loud blazars consistent with the measurements of higher apparent velocities found in monitoring programs carried out at radio frequencies above 10 ghz
[['we', 'examine', 'the', 'radio', 'properties', 'of', 'egretdetected', 'blazars', 'observed', 'as', 'part', 'of', 'the', 'vlba', 'imaging', 'and', 'polarimetry', 'survey', 'vips', 'vips', 'has', 'a', 'flux', 'limit', 'roughly', 'an', 'order', 'of', 'magnitude', 'below', 'the', 'mojave', 'survey', 'and', 'most', 'other', 'samples', 'that', 'have', 'been', 'used', 'to', 'study', 'the', 'properties', 'of', 'egret', 'blazars', 'at', 'lower', 'flux', 'levels', 'radio', 'flux', 'density', 'does', 'not', 'directly', 'correlate', 'with', 'gammaray', 'flux', 'density', 'we', 'do', 'find', 'that', 'the', 'egretdetected', 'blazars', 'tend', 'to', 'have', 'higher', 'brightness', 'temperatures', 'greater', 'core', 'fractions', 'and', 'possibly', 'larger', 'than', 'average', 'jet', 'opening', 'angles', 'a', 'weak', 'correlation', 'is', 'also', 'found', 'with', 'jet', 'length', 'and', 'with', 'polarization', 'all', 'of', 'the', 'wellestablished', 'trends', 'can', 'be', 'explained', 'by', 'systematically', 'larger', 'doppler', 'factors', 'in', 'the', 'gammaray', 'loud', 'blazars', 'consistent', 'with', 'the', 'measurements', 'of', 'higher', 'apparent', 'velocities', 'found', 'in', 'monitoring', 'programs', 'carried', 'out', 'at', 'radio', 'frequencies', 'above', '10', 'ghz']]
[-0.0720188002659511, 0.1702273824995929, -0.029325643846642796, 0.14396247513554855, -0.10257494616845664, -0.07536259214699703, 0.03881679220043503, 0.48561951496305256, -0.13807907443320255, -0.38534013502109443, 0.05730005769045466, -0.3092211626102998, 0.02342565799553464, 0.24635709366118738, 0.01997397492986417, -0.019991403697976286, 0.013524911849059327, -0.1008941007826484, -0.08267607804673323, -0.19133906318962465, 0.23401151910206697, 0.1562669730208216, 0.26706880585623594, 0.013476576141156528, 0.06893980908581485, -0.11390441989213446, -0.0879927656688068, 0.06147833153551077, -0.0794142412849622, 0.03121166792528255, 0.269709231994747, 0.0769774922404275, 0.183521338486976, -0.3467588719714732, -0.22918255457142198, 0.10734161882606899, 0.1487471438671571, -0.008792828170269945, 0.045876875288621353, -0.264806302746989, 0.06847009580772724, -0.16952764177966836, -0.1818658345188592, 0.037682762131584384, 0.04392712791008453, 0.04717642971039172, -0.13927260934320843, 0.12860713140290386, -0.022663485082070323, 0.11543415592861002, -0.09501676165403622, -0.15737434063976916, -0.05233248780365952, 0.0702495669511004, 0.08143551974645714, 0.08658762599586299, 0.14927657971321776, -0.12957492500482412, -0.13422338113853247, 0.35287371283417474, -0.061076638638573, -0.011664707069183244, 0.19736557725959722, -0.2951565634070073, -0.21476799146999626, 0.22169650960067816, 0.1689198672445151, 0.09172444243364743, -0.1300921037378483, -0.04690803022694903, -0.03205807114285111, 0.2515489743057176, 0.03926336028388817, 0.09340175079610062, 0.2631676298001931, 0.07759530621370042, 0.08578519657573724, 0.12395092793765825, -0.260938254439945, 0.04565994795853694, -0.25537605520021717, -0.02794231477798554, -0.1341664990912409, 0.11888979632166524, -0.07679677702933482, -0.0671513206444436, 0.38486888944885156, 0.1063758154929935, 0.18443029236905004, 0.08749081778962906, 0.2891681219865806, 0.11850853044587276, 0.15452452777565395, 0.14985109838133637, 0.37505342854853096, 0.13403105425706174, 0.1288042421738216, -0.19246055584156166, 0.0802854967582291, -0.04033235216472488]
709.0969
Chiral vibrations in the A=135 region
Chiral vibrations are studied with the RPA plus self-consistent tilted axis cranking formalism in the A=135 region. In this method chiral vibrations appear as a precursor to the static chiral regime. The properties of the RPA phonons are discussed and compared to experimental data. We discuss the limits the chiral region and the transition to the non harmonic regime.
nucl-th
chiral vibrations are studied with the rpa plus selfconsistent tilted axis cranking formalism in the a135 region in this method chiral vibrations appear as a precursor to the static chiral regime the properties of the rpa phonons are discussed and compared to experimental data we discuss the limits the chiral region and the transition to the non harmonic regime
[['chiral', 'vibrations', 'are', 'studied', 'with', 'the', 'rpa', 'plus', 'selfconsistent', 'tilted', 'axis', 'cranking', 'formalism', 'in', 'the', 'a135', 'region', 'in', 'this', 'method', 'chiral', 'vibrations', 'appear', 'as', 'a', 'precursor', 'to', 'the', 'static', 'chiral', 'regime', 'the', 'properties', 'of', 'the', 'rpa', 'phonons', 'are', 'discussed', 'and', 'compared', 'to', 'experimental', 'data', 'we', 'discuss', 'the', 'limits', 'the', 'chiral', 'region', 'and', 'the', 'transition', 'to', 'the', 'non', 'harmonic', 'regime']]
[-0.14659502016027168, 0.17988006590367778, -0.056821711778897666, 0.048652873460829645, -0.039627359441385186, -0.06761798085564555, 0.038246938701847505, 0.40902692541993896, -0.20563057151719413, -0.18942638030596848, 0.012161919305197381, -0.3266645634932251, -0.10103614781662051, 0.09599520381668518, 0.05338260524099339, 0.042425692531055416, -0.035868799586876714, 0.02082582881096108, -0.08401356948989219, -0.11620528374573794, 0.23146555945277214, 0.05282339379532616, 0.3103610786191862, 0.06698597717131007, -0.006947331818960735, 0.008172588398808548, 0.06882526258263609, 0.007247574563170302, -0.13963280398205952, 0.037896305483219955, 0.23804653622210026, -0.11563633783752549, 0.1607443837304439, -0.44864103577003395, -0.2357021926356287, -0.0116375864619903, 0.1359887410453039, 0.210244992362528, -0.01724089402705431, -0.3269280277048077, 0.030554456973512625, -0.19706862769892503, -0.23497503735767356, -0.1386523358042127, -0.03847899649228002, 0.014372760526322085, -0.24024723312849627, 0.12989309351441675, 0.05795892454073604, 0.03455221262792575, -0.0864274228826679, -0.14317339445978147, -0.04468384495101355, 0.05379817634018074, 0.1102146432124849, 0.047443988468048384, 0.19649482522448847, -0.11580228958487639, -0.07918739455334585, 0.46496446173766565, -0.04876760794813263, -0.14527725340027747, 0.14259881711091268, -0.17067590927512483, -0.10125640760464914, 0.13486328040618964, 0.12240230163623547, 0.10213832650333643, -0.14258431428079976, 0.07904896421703221, 0.021512541598800956, 0.07217049064789095, 0.02638792943466326, 0.04091216697646626, 0.21930638016683274, 0.13780267869025983, -0.03614440709071491, 0.1661346506343448, -0.13186870865395356, -0.15586780225215802, -0.340113892573221, -0.02320493970439892, -0.18135383317311263, -0.06448876443479595, -0.029324788744220155, -0.19442952165765495, 0.410200347674304, 0.13423784065024189, 0.16990205774019504, -0.008957950633163724, 0.3045496486593038, 0.1311218492939651, 0.06073912344712379, 0.023797082265132462, 0.3738427133267296, 0.2712645672968236, 0.10143436856792662, -0.29439330447850554, -0.07067379695142555, 0.06293338674907412]
709.097
A Bayesian periodogram finds evidence for three planets in HD 11964
A Bayesian multi-planet Kepler periodogram has been developed for the analysis of precision radial velocity data (Gregory 2005b and 2007). The periodogram employs a parallel tempering Markov chain Monte Carlo algorithm. The HD 11964 data (Butler et al. 2006) has been re-analyzed using 1, 2, 3 and 4 planet models. Assuming that all the models are equally probable a priori, the three planet model is found to be >= 600 times more probable than the next most probable model which is a two planet model. The most probable model exhibits three periods of 38.02+0.06-0.05, 360+-4 and 1924+44-43 d, and eccentricities of 0.22+0.11-0.22, 0.63+0.34-0.17 and 0.05+0.03-0.05, respectively. Assuming the three signals (each one consistent with a Keplerian orbit) are caused by planets, the corresponding limits on planetary mass (M sin i) and semi-major axis are 0.090+0.15-0.14 M_J, 0.253+-0.009 au, 0.21+0.06-0.07 M_J, 1.13+-0.04 au, 0.77+-0.08 M_J, 3.46+-0.13 au, respectively. The small difference (1.3 sigma) between the 360 day period and one year suggests that it might be worth investigating the barycentric correction for the HD 11964 data.
astro-ph
a bayesian multiplanet kepler periodogram has been developed for the analysis of precision radial velocity data gregory 2005b and 2007 the periodogram employs a parallel tempering markov chain monte carlo algorithm the hd 11964 data butler et al 2006 has been reanalyzed using 1 2 3 and 4 planet models assuming that all the models are equally probable a priori the three planet model is found to be 600 times more probable than the next most probable model which is a two planet model the most probable model exhibits three periods of 3802006005 3604 and 19244443 d and eccentricities of 022011022 063034017 and 005003005 respectively assuming the three signals each one consistent with a keplerian orbit are caused by planets the corresponding limits on planetary mass m sin i and semimajor axis are 0090015014 m_j 02530009 au 021006007 m_j 113004 au 077008 m_j 346013 au respectively the small difference 13 sigma between the 360 day period and one year suggests that it might be worth investigating the barycentric correction for the hd 11964 data
[['a', 'bayesian', 'multiplanet', 'kepler', 'periodogram', 'has', 'been', 'developed', 'for', 'the', 'analysis', 'of', 'precision', 'radial', 'velocity', 'data', 'gregory', '2005b', 'and', '2007', 'the', 'periodogram', 'employs', 'a', 'parallel', 'tempering', 'markov', 'chain', 'monte', 'carlo', 'algorithm', 'the', 'hd', '11964', 'data', 'butler', 'et', 'al', '2006', 'has', 'been', 'reanalyzed', 'using', '1', '2', '3', 'and', '4', 'planet', 'models', 'assuming', 'that', 'all', 'the', 'models', 'are', 'equally', 'probable', 'a', 'priori', 'the', 'three', 'planet', 'model', 'is', 'found', 'to', 'be', '600', 'times', 'more', 'probable', 'than', 'the', 'next', 'most', 'probable', 'model', 'which', 'is', 'a', 'two', 'planet', 'model', 'the', 'most', 'probable', 'model', 'exhibits', 'three', 'periods', 'of', '3802006005', '3604', 'and', '19244443', 'd', 'and', 'eccentricities', 'of', '022011022', '063034017', 'and', '005003005', 'respectively', 'assuming', 'the', 'three', 'signals', 'each', 'one', 'consistent', 'with', 'a', 'keplerian', 'orbit', 'are', 'caused', 'by', 'planets', 'the', 'corresponding', 'limits', 'on', 'planetary', 'mass', 'm', 'sin', 'i', 'and', 'semimajor', 'axis', 'are', '0090015014', 'm_j', '02530009', 'au', '021006007', 'm_j', '113004', 'au', '077008', 'm_j', '346013', 'au', 'respectively', 'the', 'small', 'difference', '13', 'sigma', 'between', 'the', '360', 'day', 'period', 'and', 'one', 'year', 'suggests', 'that', 'it', 'might', 'be', 'worth', 'investigating', 'the', 'barycentric', 'correction', 'for', 'the', 'hd', '11964', 'data']]
[-0.12947001316416096, 0.11784126242534172, -0.07458995462058146, 0.05848308952319567, -0.07440554144923672, -0.16850823283258345, 0.034697163437258885, 0.36895591386256776, -0.17667020441024375, -0.3614813685531448, 0.11987348546079743, -0.3020737775091862, -0.07410980634994097, 0.21706343893578814, -0.05078139417501955, 0.0584615986877081, 0.16928826273273265, -0.01995914461993915, -0.032545203765842814, -0.2708894669719646, 0.20917279110432951, 0.05970230564886441, 0.07194996280010013, -0.07112247226302701, 0.06810100187556076, -0.026589115016002415, -0.0403317536230619, -0.07927682159605659, -0.17703499875584564, 0.043271484153023475, 0.1661676331286185, 0.12776271525221916, 0.2355564234212635, -0.2931398193757593, -0.17186718007501078, 0.07526751808205083, 0.13287726230490837, 0.020076366217858358, 0.04105586570605815, -0.26087143343296243, 0.13565028500971757, -0.2178087900021325, -0.1387860591214813, 0.035407873274804165, 0.147349145897647, -0.032143354328760615, -0.30813089747301825, 0.1311729929347071, 0.060659721877962994, 0.16245707482716606, -0.09546549453120107, -0.2307825472228732, -0.09882839787408618, 0.02583841244444434, 0.03463762208313732, 0.062592428896799, 0.10160741677073522, 0.03648732067514325, -0.09609600828504876, 0.3831215999403431, -0.08235174159712566, -0.08900381277880969, 0.2095163035919987, -0.15037526822494673, -0.14260184182928293, 0.1401123366050102, 0.12991694627441122, 0.14840126645814147, -0.19002954516719822, 0.029580839595720287, -0.025466958443674206, 0.2183731734560534, 0.10369989684314404, -0.04885581217329818, 0.3268106844836126, 0.144155224608086, 0.03328785048997704, -0.004580003047287693, -0.28176217203948395, -0.10501622657350156, -0.1607515928660451, -0.1225013428073422, -0.1697891275205598, 0.004320610472446799, -0.14098335821347588, -0.05587310000573445, 0.346312845634308, 0.15378790453239044, 0.19925591739414522, 0.03961961081842863, 0.2629630206541324, 0.08270382002978785, 0.0698628773584432, 0.14884665466707908, 0.2836968659029051, 0.14188548214190805, 0.08395782221348648, -0.1807719969756307, 0.07335658398731126, 0.002417953496376064]
709.0971
$k$-Ribbon Fibonacci Tableaux
We extend the notion of $k$-ribbon tableaux to the Fibonacci lattice, a differential poset defined by R. Stanley in 1975. Using this notion, we describe an insertion algorithm that takes $k$-colored permutations to pairs of $k$-ribbon Fibonacci tableaux of the same shape, and we demonstrate a color-to-spin property, similar to that described by Shimozono and White for ribbon tableaux. We give an evacuation algorithm which relates the pair of $k$-ribbon Fibonacci tableaux obtained through the insertion algorithm to the pair of $k$-ribbon Fibonacci tableaux obtained using Fomin's growth diagrams. In addition, we present an analogue of Knuth relations for $k$-colored permutations and $k$-ribbon Fibonacci tableaux.
math.CO
we extend the notion of kribbon tableaux to the fibonacci lattice a differential poset defined by r stanley in 1975 using this notion we describe an insertion algorithm that takes kcolored permutations to pairs of kribbon fibonacci tableaux of the same shape and we demonstrate a colortospin property similar to that described by shimozono and white for ribbon tableaux we give an evacuation algorithm which relates the pair of kribbon fibonacci tableaux obtained through the insertion algorithm to the pair of kribbon fibonacci tableaux obtained using fomins growth diagrams in addition we present an analogue of knuth relations for kcolored permutations and kribbon fibonacci tableaux
[['we', 'extend', 'the', 'notion', 'of', 'kribbon', 'tableaux', 'to', 'the', 'fibonacci', 'lattice', 'a', 'differential', 'poset', 'defined', 'by', 'r', 'stanley', 'in', '1975', 'using', 'this', 'notion', 'we', 'describe', 'an', 'insertion', 'algorithm', 'that', 'takes', 'kcolored', 'permutations', 'to', 'pairs', 'of', 'kribbon', 'fibonacci', 'tableaux', 'of', 'the', 'same', 'shape', 'and', 'we', 'demonstrate', 'a', 'colortospin', 'property', 'similar', 'to', 'that', 'described', 'by', 'shimozono', 'and', 'white', 'for', 'ribbon', 'tableaux', 'we', 'give', 'an', 'evacuation', 'algorithm', 'which', 'relates', 'the', 'pair', 'of', 'kribbon', 'fibonacci', 'tableaux', 'obtained', 'through', 'the', 'insertion', 'algorithm', 'to', 'the', 'pair', 'of', 'kribbon', 'fibonacci', 'tableaux', 'obtained', 'using', 'fomins', 'growth', 'diagrams', 'in', 'addition', 'we', 'present', 'an', 'analogue', 'of', 'knuth', 'relations', 'for', 'kcolored', 'permutations', 'and', 'kribbon', 'fibonacci', 'tableaux']]
[-0.1289933907548682, 0.14306028053775102, -0.10005341819487512, 0.13121743902649122, -0.09196592797749102, -0.10360155554595761, 0.10591367826250811, 0.37659807946944895, -0.34166894493123084, -0.3136889274733571, -0.016597028156796183, -0.23992635951771474, -0.18859232199163392, 0.1390810007489143, -0.19940402514587802, -0.0038890494033694267, 0.05124163826873813, 0.0064516144445336135, -0.07159681887312147, -0.3037804308741425, 0.282471033019157, 0.010019909451679828, 0.19590827080313689, -0.03546328036687695, 0.07711045087601703, 0.06525477291031095, -0.03470320360681329, -0.02911459715463794, -0.22583286410106387, 0.09815212690199797, 0.14025705812337735, 0.1640132270538463, 0.12335435486658333, -0.3609762318486061, 0.02164558532128397, 0.14602560499826303, 0.24421144134920234, 0.035687026640516706, -0.07361729576503141, -0.2888010063011629, 0.05567159638023721, -0.20392013722672486, -0.12625083047896624, -0.01688400361364564, 0.08638756568185411, 0.08772130199101341, -0.29115489213011014, -0.0668063553300901, 0.1662021275394811, 0.11783941246819897, 0.03738219560518001, -0.2026932255920166, 0.005672249535564333, 0.0592372417405176, -0.07637172604714018, 0.0041202770169967646, 0.017911563591601756, -0.07861461686283852, -0.24579584126275641, 0.3133953541943741, -0.0026525302808015393, -0.21052635856568275, 0.05066938654859909, -0.1334986631051064, -0.16944754249058092, 0.11193646876311575, 0.018699613355028514, 0.09410278232714447, -0.08901088730467913, 0.07491159877274466, -0.20584003474169338, 0.07970407606290582, 0.24639401876573594, -0.040232132985973015, 0.163863837862244, 0.08472976233595265, 0.0001326103452951289, 0.32355613144150436, -0.005472321287155724, -0.075885901800715, -0.2402530666351175, -0.19867623230227485, -0.17237100992217444, 0.0074224034682489354, -0.1261618465904086, -0.26929447205307394, 0.36648193965307796, 0.1260434417725684, 0.18528002260175597, 0.15830338416876308, 0.1361391688294064, 0.0889559592693471, 0.11240696289146748, -0.023153519759384487, 0.024122670865975894, 0.2544271399249108, 0.02049980502880107, -0.1944997871760279, 0.004765956449913434, 0.29084818604258966]
709.0972
Electron Energy Distributions at Relativistic Shock Sites: Observational Constraints from the Cygnus A Hotspots
We report new detections of the hotspots in Cygnus A at 4.5 and 8.0 microns with the Spitzer Space Telescope. Together with detailed published radio observations and synchrotron self-Compton modeling of previous X-ray detections, we reconstruct the underlying electron energy spectra of the two brightest hotspots (A and D). The low-energy portion of the electron distributions have flat power-law slopes (s~1.5) up to the break energy which corresponds almost exactly to the mass ratio between protons and electrons; we argue that these features are most likely intrinsic rather than due to absorption effects. Beyond the break, the electron spectra continue to higher energies with very steep slopes s>3. Thus, there is no evidence for the `canonical' s=2 slope expected in 1st order Fermi-type shocks within the whole observable electron energy range. We discuss the significance of these observations and the insight offered into high-energy particle acceleration processes in mildly relativistic shocks.
astro-ph
we report new detections of the hotspots in cygnus a at 45 and 80 microns with the spitzer space telescope together with detailed published radio observations and synchrotron selfcompton modeling of previous xray detections we reconstruct the underlying electron energy spectra of the two brightest hotspots a and d the lowenergy portion of the electron distributions have flat powerlaw slopes s15 up to the break energy which corresponds almost exactly to the mass ratio between protons and electrons we argue that these features are most likely intrinsic rather than due to absorption effects beyond the break the electron spectra continue to higher energies with very steep slopes s3 thus there is no evidence for the canonical s2 slope expected in 1st order fermitype shocks within the whole observable electron energy range we discuss the significance of these observations and the insight offered into highenergy particle acceleration processes in mildly relativistic shocks
[['we', 'report', 'new', 'detections', 'of', 'the', 'hotspots', 'in', 'cygnus', 'a', 'at', '45', 'and', '80', 'microns', 'with', 'the', 'spitzer', 'space', 'telescope', 'together', 'with', 'detailed', 'published', 'radio', 'observations', 'and', 'synchrotron', 'selfcompton', 'modeling', 'of', 'previous', 'xray', 'detections', 'we', 'reconstruct', 'the', 'underlying', 'electron', 'energy', 'spectra', 'of', 'the', 'two', 'brightest', 'hotspots', 'a', 'and', 'd', 'the', 'lowenergy', 'portion', 'of', 'the', 'electron', 'distributions', 'have', 'flat', 'powerlaw', 'slopes', 's15', 'up', 'to', 'the', 'break', 'energy', 'which', 'corresponds', 'almost', 'exactly', 'to', 'the', 'mass', 'ratio', 'between', 'protons', 'and', 'electrons', 'we', 'argue', 'that', 'these', 'features', 'are', 'most', 'likely', 'intrinsic', 'rather', 'than', 'due', 'to', 'absorption', 'effects', 'beyond', 'the', 'break', 'the', 'electron', 'spectra', 'continue', 'to', 'higher', 'energies', 'with', 'very', 'steep', 'slopes', 's3', 'thus', 'there', 'is', 'no', 'evidence', 'for', 'the', 'canonical', 's2', 'slope', 'expected', 'in', '1st', 'order', 'fermitype', 'shocks', 'within', 'the', 'whole', 'observable', 'electron', 'energy', 'range', 'we', 'discuss', 'the', 'significance', 'of', 'these', 'observations', 'and', 'the', 'insight', 'offered', 'into', 'highenergy', 'particle', 'acceleration', 'processes', 'in', 'mildly', 'relativistic', 'shocks']]
[-0.059092480495004665, 0.1609279981364083, -0.0710329204791577, 0.14941325985182027, -0.07226493562238649, -0.10678120884452237, 0.045581105097338856, 0.4202564254353773, -0.18426448805026388, -0.3723751719916141, -0.0021069422156075076, -0.34131207378636674, -0.0002331777417181146, 0.18057800789783085, 0.03472978838361701, -0.02334496812719161, 0.03120348635530531, -0.08198695507097915, -0.06567895685211564, -0.16232569871272967, 0.271737734686941, 0.1522064240578414, 0.21625680733003363, 0.07095159494028186, 0.06521892442756536, -0.040516277053547614, -0.06414799090314484, -0.03187894723274042, -0.13132161999435282, 0.07253413531306317, 0.2331735233788607, 0.03077501392732868, 0.19318110592021848, -0.41254223757099656, -0.22666135895997286, 0.09114077294766533, 0.15172641089383437, 0.005017661257486618, -0.01473385175545114, -0.2270155064777058, 0.020680740403087768, -0.16313466764462262, -0.19731198394954796, 0.03583899440108151, 0.01757460895506357, 0.016937594379711624, -0.1917945465739101, 0.1232394197599543, 0.008612530611282745, 0.03585604562143493, -0.1264884633178644, -0.09625834889944322, -0.05584469836726415, 0.03771130350072998, 0.08731082254297574, 0.044453048569748535, 0.14314550394500722, -0.12149789374913798, -0.0957904375306275, 0.39039396546435673, -0.05368977124675174, -0.043280664496802235, 0.2155914257699932, -0.26672486807003815, -0.18067147853223003, 0.25217819551240334, 0.12912584697543983, 0.06014069512683824, -0.12208107185691891, 0.0357854130183692, 0.0007932323419692501, 0.19061003227576317, 0.060257244292362934, 0.08150589140363358, 0.275926019743529, 0.09952595520422282, 0.012795496613268327, 0.0888649695398693, -0.23118831557591774, -0.03356265719048679, -0.28272674389380886, -0.0958636015351393, -0.11966483043861384, 0.10480670487841233, -0.09647709115156641, -0.093863839684486, 0.3918277529586378, 0.09497331876141198, 0.2177303025671682, 0.039217678812295445, 0.2961416055436018, 0.10889441861974582, 0.06241026253359306, 0.14702844608533475, 0.31026815462684787, 0.10690918632641139, 0.10134776714735892, -0.18269282551513158, 0.0070916912456764685, -0.01831128735354306]
709.0973
Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant
It has been recently shown that Nambu-Goto action can be re-expressed in terms of Cayley's hyperdeterminant with the manifest SL(2,R) X SL(2,R) X SL(2,R) symmetry. In the present paper, we show that the same feature is shared by Green-Schwarz sigma-model for N=2 superstring whose target space-time is D=2+2. When its zweibein field is eliminated from the action, it contains the Nambu-Goto action which is nothing but the square root of Cayley's hyperdeterminant of the pull-back in superspace \sqrt{\hyperdet(\Pi_{i \a\Dot\a})} manifestly invariant under SL(2,R) X SL(2,R) X SL(2,R). The target space-time D=2+2 can accommodate self-dual supersymmetric Yang-Mills theory. Our action has also fermionic kappa-symmetry, satisfying the criterion for its light-cone equivalence to Neveu-Schwarz-Ramond formulation for N=2 superstring.
hep-th
it has been recently shown that nambugoto action can be reexpressed in terms of cayleys hyperdeterminant with the manifest sl2r x sl2r x sl2r symmetry in the present paper we show that the same feature is shared by greenschwarz sigmamodel for n2 superstring whose target spacetime is d22 when its zweibein field is eliminated from the action it contains the nambugoto action which is nothing but the square root of cayleys hyperdeterminant of the pullback in superspace sqrthyperdetpi_i adota manifestly invariant under sl2r x sl2r x sl2r the target spacetime d22 can accommodate selfdual supersymmetric yangmills theory our action has also fermionic kappasymmetry satisfying the criterion for its lightcone equivalence to neveuschwarzramond formulation for n2 superstring
[['it', 'has', 'been', 'recently', 'shown', 'that', 'nambugoto', 'action', 'can', 'be', 'reexpressed', 'in', 'terms', 'of', 'cayleys', 'hyperdeterminant', 'with', 'the', 'manifest', 'sl2r', 'x', 'sl2r', 'x', 'sl2r', 'symmetry', 'in', 'the', 'present', 'paper', 'we', 'show', 'that', 'the', 'same', 'feature', 'is', 'shared', 'by', 'greenschwarz', 'sigmamodel', 'for', 'n2', 'superstring', 'whose', 'target', 'spacetime', 'is', 'd22', 'when', 'its', 'zweibein', 'field', 'is', 'eliminated', 'from', 'the', 'action', 'it', 'contains', 'the', 'nambugoto', 'action', 'which', 'is', 'nothing', 'but', 'the', 'square', 'root', 'of', 'cayleys', 'hyperdeterminant', 'of', 'the', 'pullback', 'in', 'superspace', 'sqrthyperdetpi_i', 'adota', 'manifestly', 'invariant', 'under', 'sl2r', 'x', 'sl2r', 'x', 'sl2r', 'the', 'target', 'spacetime', 'd22', 'can', 'accommodate', 'selfdual', 'supersymmetric', 'yangmills', 'theory', 'our', 'action', 'has', 'also', 'fermionic', 'kappasymmetry', 'satisfying', 'the', 'criterion', 'for', 'its', 'lightcone', 'equivalence', 'to', 'neveuschwarzramond', 'formulation', 'for', 'n2', 'superstring']]
[-0.1670403432503359, 0.16808309254242645, -0.08627653282887318, 0.08215761717752014, -0.1155899131932018, -0.17773118449309677, -0.05898336344909152, 0.3324761145764537, -0.2022119054832218, -0.1908497412999471, 0.10023882978068861, -0.25946253241579, -0.22350537007380472, 0.07974405211739634, -0.14170406819647996, 0.024724569252340876, -0.027050463057923736, 0.18048783501185345, -0.15422851595927536, -0.33943163448732283, 0.29008587182238044, -0.01739802121888364, 0.2902282971471115, 0.005568959819165205, 0.20210183236594548, -0.0076726010567590335, 0.042305643712129574, -0.05589230312034488, -0.025891308791822092, 0.07823310099672853, 0.2594739405005321, 0.10311067070640427, 0.03411247080044919, -0.40404451625388965, -0.21565128537711867, 0.10525944729115029, 0.19231868145595254, 0.08912329579062205, 0.052227037590902206, -0.31921269711956646, 0.04723708309527291, -0.1745604824993694, -0.17546042065511933, -0.11297380400968618, 0.06781562628620713, -0.17298237918957807, -0.21874961221035114, 0.07579839897618768, 0.06118874640710521, 0.058860458225305924, -0.052013738578687865, -0.06979244524049327, -0.1423690849976418, 0.036514681654935294, 0.15188422995178322, 0.16938012241275588, 0.11432457368171431, -0.11899615588302831, -0.12123283230405497, 0.4033840837185843, -0.07130267850139685, -0.3081885346276849, 0.06066392512947092, -0.14706470399253527, -0.22909553836737023, 0.1340682170611169, 0.03076197643633605, 0.1573480444800991, -0.17085155423001994, 0.32270554509912536, -0.11431341637089326, 0.10652200905595939, 0.14110419429479198, 0.033044332086941915, 0.19905955661823482, 0.08018222393002361, 0.06141326833401986, 0.15321213978224255, 0.03401799848009097, -0.08694853109160536, -0.46010175281972215, -0.1508888464028898, -0.11549982763500068, 0.22397526019465244, -0.14764519716743707, -0.1294955137569208, 0.33720702522744733, 0.07687855820302247, 0.07168084584593185, 0.10326795235149595, 0.1375663929390149, 0.12896957093535252, 0.10736886046728805, 0.04129828012286963, 0.1793223846634327, 0.1521663994369048, -0.03082335556456727, -0.24000471215000735, -0.1591269438473606, 0.27188026115886477]
709.0974
Finding Paths and Cycles in Graphs
A polynomial time algorithm which detects all paths and cycles of all lengths in form of vertex pairs (start, finish).
cs.DM cs.CC cs.DS math.CO
a polynomial time algorithm which detects all paths and cycles of all lengths in form of vertex pairs start finish
[['a', 'polynomial', 'time', 'algorithm', 'which', 'detects', 'all', 'paths', 'and', 'cycles', 'of', 'all', 'lengths', 'in', 'form', 'of', 'vertex', 'pairs', 'start', 'finish']]
[-0.26884347666054964, 0.2015189841389656, -0.039967842400074005, 0.026252802461385727, -0.03341757864691317, -0.1515512418700382, 0.08238490112125874, 0.36626910604536533, -0.3085414424538612, -0.2759390208637342, 0.034229639469413084, -0.26762638743966816, -0.1335250373929739, 0.19584086425602437, 0.018371755676344036, -0.011337491497397423, 0.18070453744148834, 0.12802642819005997, -0.014583085617050528, -0.37308525014668703, 0.2485667678705795, -0.04780047833919525, 0.12267810963094235, -0.00843029289972037, 0.139466570597142, 0.07286969656124712, -0.07581767626106739, 0.06023546638898551, -0.08810038650408387, 0.0266840613912791, 0.2643971067853272, 0.18405512776225805, 0.2340482440777123, -0.46528521850705146, -0.12007757271640003, 0.19975108727812768, 0.11564533738419414, 0.09818441012757831, 0.08158968812786042, -0.1569572675973177, 0.12723253606818616, -0.08114750869572163, -0.14642290957272053, 0.0356782091781497, 0.11214004997164011, 0.07090433770790697, -0.20637945011258124, -0.015787810389883816, 0.11549832178279758, 0.034614361636340615, 0.03097374541684985, -0.08625345593318343, 0.02158358950400725, 0.17312936789821834, -0.05379962520673871, 0.04522271945606917, 0.03966916783247143, -0.10298233143985272, -0.2204288064967841, 0.3363027486950159, 0.017720805667340755, -0.08646521707996727, 0.09788879379630089, -0.08759844477754086, -0.14638379979878663, 0.24781558252871036, 0.11718771834857762, 0.19100414202548563, -0.18919511209242046, 0.07059713403868954, -0.04386937250383198, 0.054646019637584684, 0.2134917917661369, 0.030129765160381794, 0.15461530461907386, 0.06339141922071576, 0.13865492236800492, 0.11962058786302805, 0.0013174710795283318, -0.07747424379922449, -0.34297961853444575, -0.15195751041173935, -0.14078444849001243, -0.009442716697230935, -0.14756510944498585, -0.15567094162106515, 0.47615224107867105, 0.06977247446775436, 0.3093425439670682, 0.21977097611525095, 0.2456796456128359, 0.030921110603958368, 0.08411450986750424, 0.164455702714622, 0.03672972517088056, 0.04224782660603523, -0.004810584243386984, -0.20966522791422904, 0.05003730743192136, 0.21548321465961634]
709.0975
Multiloop realization of extended affine Lie algebras and Lie tori
An important theorem in the theory of infinite dimensional Lie algebras states that any affine Kac-Moody algebra can be realized (that is to say constructed explicitly) using loop algebras. In this paper, we consider the corresponding problem for a class of Lie algebras called extended affine Lie algebras (EALAs) that generalize affine algebras. EALAs occur in families that are constructed from centreless Lie tori, so the realization problem for EALAs reduces to the realization problem for centreless Lie tori. We show that all but one family of centreless Lie tori can be realized using multiloop algebras (in place of loop algebras). We also obtain necessary and sufficient for two centreless Lie tori realized in this way to be isotopic, a relation that corresponds to isomorphism of the corresponding families of EALAs.
math.RA math.RT
an important theorem in the theory of infinite dimensional lie algebras states that any affine kacmoody algebra can be realized that is to say constructed explicitly using loop algebras in this paper we consider the corresponding problem for a class of lie algebras called extended affine lie algebras ealas that generalize affine algebras ealas occur in families that are constructed from centreless lie tori so the realization problem for ealas reduces to the realization problem for centreless lie tori we show that all but one family of centreless lie tori can be realized using multiloop algebras in place of loop algebras we also obtain necessary and sufficient for two centreless lie tori realized in this way to be isotopic a relation that corresponds to isomorphism of the corresponding families of ealas
[['an', 'important', 'theorem', 'in', 'the', 'theory', 'of', 'infinite', 'dimensional', 'lie', 'algebras', 'states', 'that', 'any', 'affine', 'kacmoody', 'algebra', 'can', 'be', 'realized', 'that', 'is', 'to', 'say', 'constructed', 'explicitly', 'using', 'loop', 'algebras', 'in', 'this', 'paper', 'we', 'consider', 'the', 'corresponding', 'problem', 'for', 'a', 'class', 'of', 'lie', 'algebras', 'called', 'extended', 'affine', 'lie', 'algebras', 'ealas', 'that', 'generalize', 'affine', 'algebras', 'ealas', 'occur', 'in', 'families', 'that', 'are', 'constructed', 'from', 'centreless', 'lie', 'tori', 'so', 'the', 'realization', 'problem', 'for', 'ealas', 'reduces', 'to', 'the', 'realization', 'problem', 'for', 'centreless', 'lie', 'tori', 'we', 'show', 'that', 'all', 'but', 'one', 'family', 'of', 'centreless', 'lie', 'tori', 'can', 'be', 'realized', 'using', 'multiloop', 'algebras', 'in', 'place', 'of', 'loop', 'algebras', 'we', 'also', 'obtain', 'necessary', 'and', 'sufficient', 'for', 'two', 'centreless', 'lie', 'tori', 'realized', 'in', 'this', 'way', 'to', 'be', 'isotopic', 'a', 'relation', 'that', 'corresponds', 'to', 'isomorphism', 'of', 'the', 'corresponding', 'families', 'of', 'ealas']]
[-0.17043045430643242, 0.0904870097133738, -0.047036827037125147, 0.10003579194916995, -0.13961016004620733, -0.16047181939094804, -0.04543029954514772, 0.39848466076753064, -0.33809749332775596, -0.20595793081300853, 0.15726520355083476, -0.15669844316617224, -0.1789962238425972, 0.2424001357169779, -0.17019691235805287, -0.07262912258960819, 0.053527898951398055, 0.11107829968153521, -0.1424088116863188, -0.2829460118069022, 0.43606149273362893, -0.06665118336357631, 0.20427286746478035, -0.023610933266139326, 0.1294540039313431, -0.013977371318841652, 0.0442647299523117, 0.0077691283681294845, -0.15739397335615815, 0.12135447327088465, 0.38981723276016705, 0.036976871443272545, 0.15470596354540067, -0.35733154081234725, -0.11701434073642693, 0.21338958734689095, 0.21278915888068217, 0.06360695468446681, -0.0306479619204543, -0.2500689600004267, 0.060051702394839805, -0.24216650183248611, -0.1894380709668266, -0.062001518535477515, 0.03297860732742848, -0.06851445228032028, -0.20513201858635052, 0.03456376376184137, 0.10846093518815877, 0.1063572495983814, -0.10953576274337033, -0.057473220329248266, -0.08693047023541828, 0.09540325788183864, -0.123488518252137, -0.007348026479558863, 0.11050316423732247, -0.02262396613058842, -0.23692750022257855, 0.3795122564605878, 0.03966003703308924, -0.23449331486618985, 0.11056713387192377, -0.15636579155609126, -0.2595104904461453, 0.09955584084906594, 0.08244653600303613, 0.12530695642024733, -0.08671841095734871, 0.2143708829344108, -0.14402445767586694, -0.007690669599038954, 0.1021251147328556, -0.017486595065254747, 0.1734510279822213, 0.07392629788022574, 0.07369774155752407, 0.14826376976548403, 0.09404943690756122, -0.061588874701694905, -0.373952311527638, -0.16439012413087323, -0.050448832508240546, 0.12699210045873435, -0.07172063187301027, -0.17002779202720592, 0.36506607173764294, 0.15496551296771469, 0.20474038787100834, 0.11374458068455676, 0.1277842331457286, 0.10228949638913591, 0.1959362012291512, 0.06958540686706564, 0.16462529462385384, 0.2584600217626181, -0.07953764429984202, -0.11211532243715869, -0.1368366304761908, 0.23530409920548323]
709.0976
Multifractal regime transition in a modified minority game model
The search for more realistic modeling of financial time series reveals several stylized facts of real markets. In this work we focus on the multifractal properties found in price and index signals. Although the usual Minority Game (MG) models do not exhibit multifractality, we study here one of its variants that does. We show that the nonsynchronous MG models in the nonergodic phase is multifractal and in this sense, together with other stylized facts, constitute a better modeling tool. Using the Structure Function (SF) approach we detected the stationary and the scaling range of the time series generated by the MG model and, from the linear (nonlinear) behavior of the SF we identified the fractal (multifractal) regimes. Finally, using the Wavelet Transform Modulus Maxima (WTMM) technique we obtained its multifractal spectrum width for different dynamical regimes.
q-fin.TR physics.soc-ph
the search for more realistic modeling of financial time series reveals several stylized facts of real markets in this work we focus on the multifractal properties found in price and index signals although the usual minority game mg models do not exhibit multifractality we study here one of its variants that does we show that the nonsynchronous mg models in the nonergodic phase is multifractal and in this sense together with other stylized facts constitute a better modeling tool using the structure function sf approach we detected the stationary and the scaling range of the time series generated by the mg model and from the linear nonlinear behavior of the sf we identified the fractal multifractal regimes finally using the wavelet transform modulus maxima wtmm technique we obtained its multifractal spectrum width for different dynamical regimes
[['the', 'search', 'for', 'more', 'realistic', 'modeling', 'of', 'financial', 'time', 'series', 'reveals', 'several', 'stylized', 'facts', 'of', 'real', 'markets', 'in', 'this', 'work', 'we', 'focus', 'on', 'the', 'multifractal', 'properties', 'found', 'in', 'price', 'and', 'index', 'signals', 'although', 'the', 'usual', 'minority', 'game', 'mg', 'models', 'do', 'not', 'exhibit', 'multifractality', 'we', 'study', 'here', 'one', 'of', 'its', 'variants', 'that', 'does', 'we', 'show', 'that', 'the', 'nonsynchronous', 'mg', 'models', 'in', 'the', 'nonergodic', 'phase', 'is', 'multifractal', 'and', 'in', 'this', 'sense', 'together', 'with', 'other', 'stylized', 'facts', 'constitute', 'a', 'better', 'modeling', 'tool', 'using', 'the', 'structure', 'function', 'sf', 'approach', 'we', 'detected', 'the', 'stationary', 'and', 'the', 'scaling', 'range', 'of', 'the', 'time', 'series', 'generated', 'by', 'the', 'mg', 'model', 'and', 'from', 'the', 'linear', 'nonlinear', 'behavior', 'of', 'the', 'sf', 'we', 'identified', 'the', 'fractal', 'multifractal', 'regimes', 'finally', 'using', 'the', 'wavelet', 'transform', 'modulus', 'maxima', 'wtmm', 'technique', 'we', 'obtained', 'its', 'multifractal', 'spectrum', 'width', 'for', 'different', 'dynamical', 'regimes']]
[-0.07982841791732319, 0.07215698788914938, -0.15258213819470257, 0.13262820926662672, -0.03524166052503621, -0.11081172304436811, 0.03904769675436375, 0.41279051803490696, -0.2863719764864072, -0.24511829942382654, 0.08092251884655151, -0.2946599826648119, -0.22560957721297575, 0.21218914716412066, -0.022087929285857278, 0.038924350724247395, 0.000893936663701692, -0.009267325992422068, -0.023688849229502547, -0.2179018758590032, 0.29635011538287953, 0.014334471358725911, 0.3004561315756291, -0.009742377462851651, 0.03308190502609838, -0.03160002518116551, -0.06848300775934202, 0.05051235203555895, -0.15252880300859567, 0.08970730923294254, 0.2123355442598254, 0.10362244530252236, 0.2627100939742591, -0.40005843507755984, -0.2517338140785475, 0.10990491296123604, 0.10947455396629213, 0.03205264872111216, -0.01212443825962135, -0.2775159281651106, 0.07948128588203177, -0.1324952246470596, -0.12108972714529098, -0.0981348525511909, 0.010800846208653906, 0.025308137810070012, -0.2401751614683342, 0.12202858720796511, 0.09563883186060326, 0.07764278812443509, -0.07412498729022712, -0.08732072664390537, -0.021877077175304294, 0.12766012453871287, 0.06341779877873384, -0.10307516123216107, 0.11490928204661674, -0.09042994160314693, -0.14181318943583926, 0.36130850649137486, -0.11017477967363769, -0.1382449556600905, 0.19198884360273094, -0.2025668982669766, -0.18143317308995927, 0.12000350021031302, 0.15298339189650825, 0.10780067471376456, -0.12701552403750077, 0.06958624253713745, -0.05333630007910816, 0.19923545593080824, 0.012983114670907311, 0.04644304916933727, 0.14971231801096377, 0.17317232244600103, 0.03052747011465459, 0.1358153013386661, -0.10607649302555193, -0.13530834141077802, -0.26279929991741324, -0.11332792088540052, -0.18805903184693307, 0.022221001633892335, -0.14150745217878413, -0.19643295093384736, 0.4596041822737521, 0.16397042328710942, 0.1958891515421462, 0.07538493306321256, 0.24444001802133725, 0.14899700325708287, 0.0010943747714490576, 0.06656029644792023, 0.18259277910692617, 0.07703618296107058, 0.1731194371206905, -0.18826682595553232, 0.08733244729570716, 0.06105294534320231]
709.0977
Frustration-driven successive metamagnetic transitions in TbB4
Resonant magnetic x-ray diffraction experiments on the Shastry-Sutherland lattice TbB$_4$ were carried out under strong pulsed magnetic fields up to 30 T. TbB$_4$ exhibits a multi-step magnetization process above 16 T when magnetic fields are applied along the c-axis. We examined the intensity of the 010 magnetic reflection as a function of magnetic field and found that the magnetization plateau phases are accompanied by large XY components of magnetic moments, in contrast to normal fractional magnetization plateau phases. The magnetization was calculated using a simple spin model deduced from the above result. Finally we propose that frustration is the key to understanding the observed multi-step magnetization.
cond-mat.other cond-mat.mtrl-sci
resonant magnetic xray diffraction experiments on the shastrysutherland lattice tbb_4 were carried out under strong pulsed magnetic fields up to 30 t tbb_4 exhibits a multistep magnetization process above 16 t when magnetic fields are applied along the caxis we examined the intensity of the 010 magnetic reflection as a function of magnetic field and found that the magnetization plateau phases are accompanied by large xy components of magnetic moments in contrast to normal fractional magnetization plateau phases the magnetization was calculated using a simple spin model deduced from the above result finally we propose that frustration is the key to understanding the observed multistep magnetization
[['resonant', 'magnetic', 'xray', 'diffraction', 'experiments', 'on', 'the', 'shastrysutherland', 'lattice', 'tbb_4', 'were', 'carried', 'out', 'under', 'strong', 'pulsed', 'magnetic', 'fields', 'up', 'to', '30', 't', 'tbb_4', 'exhibits', 'a', 'multistep', 'magnetization', 'process', 'above', '16', 't', 'when', 'magnetic', 'fields', 'are', 'applied', 'along', 'the', 'caxis', 'we', 'examined', 'the', 'intensity', 'of', 'the', '010', 'magnetic', 'reflection', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'and', 'found', 'that', 'the', 'magnetization', 'plateau', 'phases', 'are', 'accompanied', 'by', 'large', 'xy', 'components', 'of', 'magnetic', 'moments', 'in', 'contrast', 'to', 'normal', 'fractional', 'magnetization', 'plateau', 'phases', 'the', 'magnetization', 'was', 'calculated', 'using', 'a', 'simple', 'spin', 'model', 'deduced', 'from', 'the', 'above', 'result', 'finally', 'we', 'propose', 'that', 'frustration', 'is', 'the', 'key', 'to', 'understanding', 'the', 'observed', 'multistep', 'magnetization']]
[-0.18316080865784073, 0.246014016473947, -0.019583813582529436, 0.05232363152886394, -0.06050257486475737, -0.10697472436828012, 0.0686099360222524, 0.4424483957788292, -0.27788425200917527, -0.3239237116474026, 0.027216140772787115, -0.25529905186772767, -0.06759433374072443, 0.23264426043705205, 0.07642743651939661, 0.001457183019978539, -0.05851711543485026, 0.010282592839157244, -0.09743018633299419, -0.20581970426016752, 0.23928865016754367, -0.006658775367299622, 0.3077415648390943, 0.04193113800599503, 0.08368713859872857, -0.003977867858132945, 0.10810734589918042, 0.06680502989856561, -0.12862449618265634, -0.026546666178992897, 0.174619286310121, -0.09702870488289814, 0.13740501046743034, -0.4376528365098221, -0.18536560674074967, 0.028842573480258853, 0.10821920490048316, 0.07911346928531716, -0.04447978146853066, -0.26362909046265315, 0.055137868235829474, -0.05007850526357597, -0.1455534606829356, -0.14166463561848086, -0.04440960106505784, 0.028106119255271723, -0.2863298597974035, 0.1221840213984251, 0.09756490642881407, 0.16660481219988246, -0.1070167959781961, -0.13377966981969844, -0.08440731743456058, 0.010440626602569367, 0.11354865779180985, 0.13933556815521475, 0.16890001332223686, -0.101518314604687, -0.16217927782321875, 0.2965200670065692, -0.06897497549049011, -0.021075827904256446, 0.10086942340888716, -0.2436933119625912, -0.11800337680351902, 0.20866392132439562, 0.09010445381479584, 0.12099145412146342, -0.14398869390905294, 0.044332327540274184, -0.00994793082727998, 0.17652463997969017, 0.047382013037589925, -0.03832774580278399, 0.2537762341440989, 0.15512959557071435, -0.0072327885532533125, 0.20955969857157403, -0.2164332936759511, -0.0752811851375297, -0.23382918452426685, -0.12346007611672834, -0.1841968991793692, 0.10310052622566526, -0.08017625567876133, -0.15104242451137528, 0.37430223981813604, 0.1633531364572744, 0.18014707291533924, -0.06644388173381745, 0.2453866299628368, 0.14617618419260736, 0.052892148442004086, 0.05734330716867984, 0.2416237159017122, 0.25199766497277076, 0.1814105390013143, -0.28807064867358795, 0.07341150731674202, -0.0056009936093721745]
709.0978
Cyclotron modeling phase-resolved infrared spectroscopy of polars I: EF Eridani
We present phase-resolved low resolution infrared spectra of the polar EF Eridani obtained over a period of 2 years with SPEX on the IRTF. The spectra, covering the wavelength range 0.8 to 2.4 microns, are dominated by cyclotron emission at all phases. We use a ``Constant Lambda'' prescription to attempt to model the changing cyclotron features seen in the spectra. A single cyclotron emission component with B = 12.6 MG, and a plasma temperature of kT = 5.0 keV, does a reasonable job in matching the features seen in the H and K bands, but fails to completely reproduce the morphology shortward of 1.6 microns. We find that a two component model, where both components have similar properties, but whose contributions differ with viewing geometry, provides an excellent fit to the data. We discuss the implications of our models and compare them with previously published results. In addition, we show that a cyclotron model with similar properties to those used for modeling the infrared spectra, but with a field strength of B = 115 MG, can explain the GALEX observations of EF Eri.
astro-ph
we present phaseresolved low resolution infrared spectra of the polar ef eridani obtained over a period of 2 years with spex on the irtf the spectra covering the wavelength range 08 to 24 microns are dominated by cyclotron emission at all phases we use a constant lambda prescription to attempt to model the changing cyclotron features seen in the spectra a single cyclotron emission component with b 126 mg and a plasma temperature of kt 50 kev does a reasonable job in matching the features seen in the h and k bands but fails to completely reproduce the morphology shortward of 16 microns we find that a two component model where both components have similar properties but whose contributions differ with viewing geometry provides an excellent fit to the data we discuss the implications of our models and compare them with previously published results in addition we show that a cyclotron model with similar properties to those used for modeling the infrared spectra but with a field strength of b 115 mg can explain the galex observations of ef eri
[['we', 'present', 'phaseresolved', 'low', 'resolution', 'infrared', 'spectra', 'of', 'the', 'polar', 'ef', 'eridani', 'obtained', 'over', 'a', 'period', 'of', '2', 'years', 'with', 'spex', 'on', 'the', 'irtf', 'the', 'spectra', 'covering', 'the', 'wavelength', 'range', '08', 'to', '24', 'microns', 'are', 'dominated', 'by', 'cyclotron', 'emission', 'at', 'all', 'phases', 'we', 'use', 'a', 'constant', 'lambda', 'prescription', 'to', 'attempt', 'to', 'model', 'the', 'changing', 'cyclotron', 'features', 'seen', 'in', 'the', 'spectra', 'a', 'single', 'cyclotron', 'emission', 'component', 'with', 'b', '126', 'mg', 'and', 'a', 'plasma', 'temperature', 'of', 'kt', '50', 'kev', 'does', 'a', 'reasonable', 'job', 'in', 'matching', 'the', 'features', 'seen', 'in', 'the', 'h', 'and', 'k', 'bands', 'but', 'fails', 'to', 'completely', 'reproduce', 'the', 'morphology', 'shortward', 'of', '16', 'microns', 'we', 'find', 'that', 'a', 'two', 'component', 'model', 'where', 'both', 'components', 'have', 'similar', 'properties', 'but', 'whose', 'contributions', 'differ', 'with', 'viewing', 'geometry', 'provides', 'an', 'excellent', 'fit', 'to', 'the', 'data', 'we', 'discuss', 'the', 'implications', 'of', 'our', 'models', 'and', 'compare', 'them', 'with', 'previously', 'published', 'results', 'in', 'addition', 'we', 'show', 'that', 'a', 'cyclotron', 'model', 'with', 'similar', 'properties', 'to', 'those', 'used', 'for', 'modeling', 'the', 'infrared', 'spectra', 'but', 'with', 'a', 'field', 'strength', 'of', 'b', '115', 'mg', 'can', 'explain', 'the', 'galex', 'observations', 'of', 'ef', 'eri']]
[-0.060189671871355835, 0.08876953531814959, -0.08565756362966365, 0.04718613483580864, -0.04963926322525367, -0.1564301514519482, 0.02910735537103998, 0.44585322592821386, -0.20851721904344028, -0.36617503907117577, 0.046536471891320416, -0.3033389197145071, -0.04211843207000735, 0.19156256070386413, -0.022720227890790232, -0.023270215678753123, 0.044608935620635747, -0.030488639438731802, -0.053018044917714884, -0.19681939490837977, 0.25296178008947107, 0.08294755886826251, 0.19419348925714278, 0.026540865971603326, 0.03236073848545655, -0.048162930060385, -0.042587871076830194, 0.011806738883670833, -0.15095492578564315, 0.08595288589422126, 0.23097658528287057, 0.07481685649416048, 0.1596470468198984, -0.32353880795676054, -0.23709892235282395, 0.04271988792267318, 0.13052081806429972, 0.02399554563841472, -0.001339012710377574, -0.21249225682889422, 0.07209268446183867, -0.16086136679837687, -0.15800638370435788, -0.0020420025426170062, 0.042944737252805176, 0.0020418219527022705, -0.2508853501226339, 0.041728647657307896, 0.03545923591979469, 0.11826367131305031, -0.15297492563129506, -0.16685746308519608, -0.03157121991971508, 0.08000715362787661, 0.015841168256398912, 0.043287849101600134, 0.12349629633439084, -0.10869259434596946, -0.09250517757997538, 0.3936895970151656, -0.1767655635200855, -0.026032933385835753, 0.2277977105980325, -0.21790785037325502, -0.12661975260254824, 0.20804901894233707, 0.10551992180343303, 0.11271510504060037, -0.11496633268818389, 0.0715296347513989, -0.03543772021269736, 0.24529072176665068, 0.04071439158223156, 0.05308118157295717, 0.24028789614223772, 0.08059202654080258, -0.03130228514172712, 0.0954913076491923, -0.22024746783249105, -0.012893473312983083, -0.27236272289624647, -0.0905740252073479, -0.10612191850021999, 0.05022979561860363, -0.059495111647750794, -0.12381302418911623, 0.4196400551384108, 0.138392827444477, 0.2769682618478934, 0.03385931468672222, 0.26617974644371617, 0.10059004597585752, 0.10248376309213604, 0.10421622911494019, 0.28309614388272164, 0.12736520614578492, 0.1365927004973249, -0.21824092913496618, -0.012392158935674363, -0.018364744059120617]
709.0979
Rare Semileptonic Decays of Heavy Mesons with Flavor SU(3) Symmetry
In this paper, we calculate the decay rates of $D^+ \to D^0 e^+ \nu$, $D^+_S \to D^0 e^+ \nu$, $B^0_S \to B^+ e^- \bar{\nu}$, $D^+_S \to D^+ e^- e^+$ and $B^0_S \to B^0 e^-e^+$ semileptonic decay processes, in which only the light quarks decay, while the heavy flavors remain unchanged. The branching ratios of these decay processes are calculated with the flavor SU(3) symmetry. The uncertainties are estimated by considering the SU(3) breaking effect. We find that the decay rates are very tiny in the framework of the Standard Model. We also estimate the sensitivities of the measurements of these rare decays at the future experiments, such as BES-III, super-$B$ and LHC-$b$.
hep-ph
in this paper we calculate the decay rates of d to d0 e nu d_s to d0 e nu b0_s to b e barnu d_s to d e e and b0_s to b0 ee semileptonic decay processes in which only the light quarks decay while the heavy flavors remain unchanged the branching ratios of these decay processes are calculated with the flavor su3 symmetry the uncertainties are estimated by considering the su3 breaking effect we find that the decay rates are very tiny in the framework of the standard model we also estimate the sensitivities of the measurements of these rare decays at the future experiments such as besiii superb and lhcb
[['in', 'this', 'paper', 'we', 'calculate', 'the', 'decay', 'rates', 'of', 'd', 'to', 'd0', 'e', 'nu', 'd_s', 'to', 'd0', 'e', 'nu', 'b0_s', 'to', 'b', 'e', 'barnu', 'd_s', 'to', 'd', 'e', 'e', 'and', 'b0_s', 'to', 'b0', 'ee', 'semileptonic', 'decay', 'processes', 'in', 'which', 'only', 'the', 'light', 'quarks', 'decay', 'while', 'the', 'heavy', 'flavors', 'remain', 'unchanged', 'the', 'branching', 'ratios', 'of', 'these', 'decay', 'processes', 'are', 'calculated', 'with', 'the', 'flavor', 'su3', 'symmetry', 'the', 'uncertainties', 'are', 'estimated', 'by', 'considering', 'the', 'su3', 'breaking', 'effect', 'we', 'find', 'that', 'the', 'decay', 'rates', 'are', 'very', 'tiny', 'in', 'the', 'framework', 'of', 'the', 'standard', 'model', 'we', 'also', 'estimate', 'the', 'sensitivities', 'of', 'the', 'measurements', 'of', 'these', 'rare', 'decays', 'at', 'the', 'future', 'experiments', 'such', 'as', 'besiii', 'superb', 'and', 'lhcb']]
[-0.0812259323372148, 0.2915083197793657, -0.03602145346979212, 0.10583565352031396, -0.005271991881142769, -0.1577618666591921, 0.10564106082685092, 0.2799861221906862, -0.23727715615781822, -0.21016927311679215, -0.013461950485569625, -0.3766283100703731, 0.03515795599326209, 0.11929986543379657, 0.11020759050318572, 0.13855248167445616, 0.09685958393882695, -0.009641539920786662, -0.07102575946295733, -0.2101218118082865, 0.18440268266048015, 0.021310407452152243, 0.20417954602661276, 0.1035032732761465, -0.06717545256417777, -0.06545959040522575, -0.08137864908037175, -0.11223092368163634, -0.19075414114513478, 0.0356421072262622, 0.17980494951812684, 0.10720413393573835, 0.0724713975796476, -0.32858313963515684, -0.03884401127496468, 0.22572626808791288, 0.16589646303743524, 0.03904850498344915, 0.005584292754065245, -0.39668697001096526, 0.17215766333798196, -0.1638997347950603, -0.07009724503482825, -0.09110506649761062, 0.09745524692282613, -0.10294369451886658, -0.376060216978658, 0.09585116930845418, -0.05541669559482086, 0.02163842643910487, -0.00258152317422043, -0.2616179458730455, -0.016524023436691744, 0.04139307458951537, 0.19422502715938858, 0.07526167998938556, 0.19133948661224817, -0.10581838471989613, -0.19052810470540343, 0.39992631840453086, -0.1031063658416055, -0.18737840814615733, 0.15970528228042116, -0.28392780640777865, -0.13938744665106892, 0.15489173230681835, 0.26553117717100705, 0.056039366929326206, -0.18409267596767417, 0.16297665236613415, -0.007022769191150603, 0.09632715739800395, 0.04738197610588811, 0.11000764832715504, 0.16668652783014945, 0.19451159209295707, -0.04343200395981382, 0.004251181663546179, -0.10452763210715992, -0.011566936005172985, -0.4356229467250939, -0.12986031453224964, -0.07165646853224773, 0.13550486371657047, -0.03114389119244671, -0.03287219493150977, 0.3606878479892787, 0.02905752036687253, 0.3288587030339321, 0.028534677271506683, 0.2665723552927375, 0.10149846558800034, 0.013162354396627052, 0.07230087249938931, 0.3301175010107857, 0.1839268805280361, 0.11463041494010083, -0.3806886882936981, 0.034079832719206546, 0.011991604102409579]
709.098
The Minimally Tuned Minimal Supersymmetric Standard Model
The regions in the Minimal Supersymmetric Standard Model with the minimal amount of fine-tuning of electroweak symmetry breaking are presented for general messenger scale. No a priori relations among the soft supersymmetry breaking parameters are assumed and fine-tuning is minimized with respect to all the important parameters which affect electroweak symmetry breaking. The superpartner spectra in the minimally tuned region of parameter space are quite distinctive with large stop mixing at the low scale and negative squark soft masses at the high scale. The minimal amount of tuning increases enormously for a Higgs mass beyond roughly 120 GeV.
hep-ph
the regions in the minimal supersymmetric standard model with the minimal amount of finetuning of electroweak symmetry breaking are presented for general messenger scale no a priori relations among the soft supersymmetry breaking parameters are assumed and finetuning is minimized with respect to all the important parameters which affect electroweak symmetry breaking the superpartner spectra in the minimally tuned region of parameter space are quite distinctive with large stop mixing at the low scale and negative squark soft masses at the high scale the minimal amount of tuning increases enormously for a higgs mass beyond roughly 120 gev
[['the', 'regions', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'with', 'the', 'minimal', 'amount', 'of', 'finetuning', 'of', 'electroweak', 'symmetry', 'breaking', 'are', 'presented', 'for', 'general', 'messenger', 'scale', 'no', 'a', 'priori', 'relations', 'among', 'the', 'soft', 'supersymmetry', 'breaking', 'parameters', 'are', 'assumed', 'and', 'finetuning', 'is', 'minimized', 'with', 'respect', 'to', 'all', 'the', 'important', 'parameters', 'which', 'affect', 'electroweak', 'symmetry', 'breaking', 'the', 'superpartner', 'spectra', 'in', 'the', 'minimally', 'tuned', 'region', 'of', 'parameter', 'space', 'are', 'quite', 'distinctive', 'with', 'large', 'stop', 'mixing', 'at', 'the', 'low', 'scale', 'and', 'negative', 'squark', 'soft', 'masses', 'at', 'the', 'high', 'scale', 'the', 'minimal', 'amount', 'of', 'tuning', 'increases', 'enormously', 'for', 'a', 'higgs', 'mass', 'beyond', 'roughly', '120', 'gev']]
[-0.1083920610859534, 0.3195949065052353, 0.043034816065765154, 0.16711908559509725, -0.10528168123814144, -0.17281174519793036, 0.020800724530554548, 0.3336212508408923, -0.24790364758548689, -0.4105226397876656, 0.09135937355268671, -0.2533691811793465, -0.0025776594364065298, 0.11192432011487152, 0.0041419484017640165, 0.09386508511759493, 0.02604415956932139, 0.01795655564994228, -0.09143038801088625, -0.19433643227462105, 0.2939503651768045, 0.06859787830213389, 0.22295417134859125, 0.07866640194148129, 0.08345278704595961, -0.04342877103623991, 0.02320664818873819, -0.09705426138665346, -0.1137611118388215, 0.09304087466503284, 0.15435471074959758, 0.038273493792595606, 0.15009534537640154, -0.3258725538925857, -0.20284657302901757, 0.18407073020174794, 0.13254637512549453, 0.09098363774519756, -0.06901260897783297, -0.26046203394249384, 0.1287991366330154, -0.16401705128254787, -0.12739716529161954, -0.05586711672723901, -0.05135157050526872, -0.14895521659328012, -0.3157437447546411, 0.1124877676377263, -0.07736481410660306, 0.06737787420956456, -0.005826075695578617, -0.10083821821810525, -0.15168175986036658, 0.04191907401652817, 0.17818155359270108, -0.007398130614500569, 0.17658962868866795, -0.21474608575939486, -0.054685275678579906, 0.43347499186971356, -0.0672540956423903, -0.183273570182049, 0.18214744576538094, -0.14823613648911063, -0.17920024226073947, 0.17793892152911547, 0.15582743918105046, 0.07839085558448367, -0.101398286048551, 0.1819877486348708, -0.001439605887066953, 0.2490304947583651, 0.07908288751994925, 0.0805031571326996, 0.2597088331489691, 0.19468447053804994, 0.0757282874737011, 0.06507836365882232, -0.028883287089173586, -0.11389763243211319, -0.4486314265855721, -0.05346346161404283, -0.10829655633293739, -0.025428229515269702, -0.1661562583767405, -0.09169005357413268, 0.4029309566997524, 0.12828443643675014, 0.2919225224997012, 0.06326629310889094, 0.2493634116313211, 0.0675801406994614, 0.18619791715767006, 0.028826135859292532, 0.33792852515791905, 0.05537778574365134, 0.09007116989707764, -0.23890995024703443, 0.007362396128437653, 0.043553671951652786]
709.0981
A characterization of the rational normal curve
We give a characterization of the rational normal curve in terms of the rank function associated to a curve.
math.AG
we give a characterization of the rational normal curve in terms of the rank function associated to a curve
[['we', 'give', 'a', 'characterization', 'of', 'the', 'rational', 'normal', 'curve', 'in', 'terms', 'of', 'the', 'rank', 'function', 'associated', 'to', 'a', 'curve']]
[-0.19806057092194496, -0.019158328197112207, -0.16971270112614883, 0.05403564056675685, -0.07356681103671067, -0.08923161750365245, 0.0961312063430485, 0.3181154484811582, -0.2917499044223836, -0.19207142273846425, 0.09263648484269843, -0.23548359737584465, -0.21626715411088968, 0.2726221555157712, -0.1449155290856173, -0.023069239564632114, -0.017488074145819012, 0.13264038531403793, -0.19237793295791275, -0.279471297405268, 0.3525609044652236, -0.04974684638804511, 0.21276398493271126, 0.03391051620833183, 0.13549406257899185, 0.06346059017079442, -0.013765291163795873, -0.000666512764598194, -0.1852666636634814, 0.18197219750206722, 0.2611155808952294, 0.15379856899380684, 0.15656545601393046, -0.32610072597469153, -0.16455228021368384, 0.25927738394392164, 0.06218688496339478, -0.02215020633057544, -0.0013184303319767902, -0.12283422013646678, 0.08903874542662188, -0.1585453658511764, -0.28996045456120845, -0.03840413817057484, 0.0193647285984633, 0.06393181414980638, -0.23538228447892165, 0.03504196907344617, 0.07576512427706468, 0.16420063449952163, -0.07210173109840405, -0.08836549459221332, -0.006687610655238754, 0.04115534872796975, -0.0029353187664559015, 0.07997516557378204, 0.026016586170666607, -0.1816106917532651, -0.058084111464651006, 0.35782361775636673, -0.10932648730905432, -0.1910046398835747, 0.12294686953292082, -0.16824927798619396, -0.020314262101524753, 0.19273733935858073, 0.2050887015893271, 0.11608176558480696, -0.07591919963689227, 0.06873587734605137, -0.06954935085224478, 0.09906275804448676, 0.027555887342283602, -0.01533919925752439, 0.1674767682622922, 0.056574407572809016, 0.06930002280952115, 0.20592530856007024, -0.030281489521975777, -0.02110899926016205, -0.4034832770887174, -0.24516274221241474, -0.10977216015912984, 0.10272787138819695, -0.11620444029961761, -0.2793316756816287, 0.5395079960948542, -0.05124341500432868, 0.2823439118893523, 0.09850699518268045, 0.2372754367166444, 0.19190493510349801, -0.01525796557727613, -0.009595901876884071, 0.15740193362886967, 0.15955519584301664, -0.03451768808851117, -0.17352150704123473, 0.0979740917192478, 0.15898568433170257]
709.0982
Detecting Cosmic Strings in the CMB with the Canny Algorithm
Line discontinuities in cosmic microwave background anisotropy maps are a distinctive prediction of models with cosmic strings. These signatures are visible in anisotropy maps with good angular resolution and should be identifiable using edge detection algorithms. One such algorithm is the Canny algorithm. We study the potential of this algorithm to pick out the line discontinuities generated by cosmic strings. By applying the algorithm to small-scale microwave anisotropy maps generated from theoretical models with and without cosmic strings, we find that, given an angular resolution of several minutes of arc, cosmic strings can be detected down to a limit of the mass per unit length of the string which is one order of magnitude lower than the current upper bounds.
astro-ph gr-qc hep-ph hep-th
line discontinuities in cosmic microwave background anisotropy maps are a distinctive prediction of models with cosmic strings these signatures are visible in anisotropy maps with good angular resolution and should be identifiable using edge detection algorithms one such algorithm is the canny algorithm we study the potential of this algorithm to pick out the line discontinuities generated by cosmic strings by applying the algorithm to smallscale microwave anisotropy maps generated from theoretical models with and without cosmic strings we find that given an angular resolution of several minutes of arc cosmic strings can be detected down to a limit of the mass per unit length of the string which is one order of magnitude lower than the current upper bounds
[['line', 'discontinuities', 'in', 'cosmic', 'microwave', 'background', 'anisotropy', 'maps', 'are', 'a', 'distinctive', 'prediction', 'of', 'models', 'with', 'cosmic', 'strings', 'these', 'signatures', 'are', 'visible', 'in', 'anisotropy', 'maps', 'with', 'good', 'angular', 'resolution', 'and', 'should', 'be', 'identifiable', 'using', 'edge', 'detection', 'algorithms', 'one', 'such', 'algorithm', 'is', 'the', 'canny', 'algorithm', 'we', 'study', 'the', 'potential', 'of', 'this', 'algorithm', 'to', 'pick', 'out', 'the', 'line', 'discontinuities', 'generated', 'by', 'cosmic', 'strings', 'by', 'applying', 'the', 'algorithm', 'to', 'smallscale', 'microwave', 'anisotropy', 'maps', 'generated', 'from', 'theoretical', 'models', 'with', 'and', 'without', 'cosmic', 'strings', 'we', 'find', 'that', 'given', 'an', 'angular', 'resolution', 'of', 'several', 'minutes', 'of', 'arc', 'cosmic', 'strings', 'can', 'be', 'detected', 'down', 'to', 'a', 'limit', 'of', 'the', 'mass', 'per', 'unit', 'length', 'of', 'the', 'string', 'which', 'is', 'one', 'order', 'of', 'magnitude', 'lower', 'than', 'the', 'current', 'upper', 'bounds']]
[-0.13349223029023657, 0.13769263252337016, -0.03771087634183156, 0.08400003137552024, -0.06659584785035501, -0.08503263096014659, -0.0033727059916903576, 0.4051260691524173, -0.27145197316228104, -0.3774735659516106, 0.07983978986546086, -0.3170754139544442, -0.056350188632495704, 0.22734279298456386, 0.0253294463987307, 0.0342118572628048, 0.03865245283814147, 0.02552155466983095, -0.04299577952090961, -0.27009216225415, 0.2714475049637258, 0.1534852206823416, 0.2652033429282407, 0.03878012107840429, 0.10926906594928974, -0.09122896806026498, -0.08423933069764947, 0.06491182357228051, -0.1337617888603442, 0.10481002020921247, 0.1963540643694311, 0.13236437083687633, 0.13484969194590424, -0.42823751932010057, -0.23003522248473018, 0.15028400184819474, 0.1672100115257005, 0.14005910794464096, -0.009630323096644133, -0.273358366265893, 0.11297272308341538, -0.0700147497234866, -0.09130164244367431, -0.02562534753039169, -0.02562749643026715, 0.027520795542902002, -0.22332729473322008, 0.07610213180693487, 0.055120989998492104, 0.03562759052899007, -0.04491713135503232, -0.050289135170169176, -0.010384078025041769, 0.09242978929930055, 0.059319288683279105, 0.11097200182072507, 0.1427872412954457, -0.14019185219076463, -0.162176463213594, 0.346092349740987, -0.12444094551865419, -0.13859098725952207, 0.1292492698819842, -0.1690140813899537, -0.15059072682633995, 0.19047138992852222, 0.1435183158221965, 0.08527018858197456, -0.12271166531718336, 0.08768240053808161, 0.007913571580623587, 0.18958259598972896, 0.12840597252361477, 0.027855206795114402, 0.31950154065464936, 0.13112196798707978, 0.08944826341466978, 0.12266644315677695, -0.16510951290062317, 0.010456902875254552, -0.28132235777253906, -0.0840636514282475, -0.1742164036181445, 0.03823243637258808, -0.1487548024391193, -0.17498341577496224, 0.3828435006318614, 0.17413140784871453, 0.25531091807448925, 0.03488803775301979, 0.33076491275181374, 0.09692777823656798, 0.07020875800711414, 0.09679307758342474, 0.2041012428177055, 0.10233866293856408, 0.0633425454609096, -0.18469611423594567, 0.010229680962705363, 0.07526611370655398]
709.0983
The Luminosity Function of Low-Redshift Abell Galaxy Clusters
We present the results from a survey of 57 low-redshift Abell galaxy clusters to study the radial dependence of the luminosity function (LF). The dynamical radius of each cluster, r200, was estimated from the photometric measurement of cluster richness, Bgc. The shape of the LFs are found to correlate with radius such that the faint-end slope, alpha, is generally steeper on the cluster outskirts. The sum of two Schechter functions provides a more adequate fit to the composite LFs than a single Schechter function. LFs based on the selection of red and blue galaxies are bimodal in appearance. The red LFs are generally flat for -22 < M_Rc < -18, with a radius-dependent steepening of alpha for M_Rc > -18. The blue LFs contain a larger contribution from faint galaxies than the red LFs. The blue LFs have a rising faint-end component (alpha ~ -1.7) for M_Rc > -21, with a weaker dependence on radius than the red LFs. The dispersion of M* was determined to be 0.31 mag, which is comparable to the median measurement uncertainty of 0.38 mag. This suggests that the bright-end of the LF is universal in shape at the 0.3 mag level. We find that M* is not correlated with cluster richness when using a common dynamical radius. Also, we find that M* is weakly correlated with BM-type such that later BM-type clusters have a brighter M*. A correlation between M* and radius was found for the red and blue galaxies such that M* fades towards the cluster center.
astro-ph
we present the results from a survey of 57 lowredshift abell galaxy clusters to study the radial dependence of the luminosity function lf the dynamical radius of each cluster r200 was estimated from the photometric measurement of cluster richness bgc the shape of the lfs are found to correlate with radius such that the faintend slope alpha is generally steeper on the cluster outskirts the sum of two schechter functions provides a more adequate fit to the composite lfs than a single schechter function lfs based on the selection of red and blue galaxies are bimodal in appearance the red lfs are generally flat for 22 m_rc 18 with a radiusdependent steepening of alpha for m_rc 18 the blue lfs contain a larger contribution from faint galaxies than the red lfs the blue lfs have a rising faintend component alpha 17 for m_rc 21 with a weaker dependence on radius than the red lfs the dispersion of m was determined to be 031 mag which is comparable to the median measurement uncertainty of 038 mag this suggests that the brightend of the lf is universal in shape at the 03 mag level we find that m is not correlated with cluster richness when using a common dynamical radius also we find that m is weakly correlated with bmtype such that later bmtype clusters have a brighter m a correlation between m and radius was found for the red and blue galaxies such that m fades towards the cluster center
[['we', 'present', 'the', 'results', 'from', 'a', 'survey', 'of', '57', 'lowredshift', 'abell', 'galaxy', 'clusters', 'to', 'study', 'the', 'radial', 'dependence', 'of', 'the', 'luminosity', 'function', 'lf', 'the', 'dynamical', 'radius', 'of', 'each', 'cluster', 'r200', 'was', 'estimated', 'from', 'the', 'photometric', 'measurement', 'of', 'cluster', 'richness', 'bgc', 'the', 'shape', 'of', 'the', 'lfs', 'are', 'found', 'to', 'correlate', 'with', 'radius', 'such', 'that', 'the', 'faintend', 'slope', 'alpha', 'is', 'generally', 'steeper', 'on', 'the', 'cluster', 'outskirts', 'the', 'sum', 'of', 'two', 'schechter', 'functions', 'provides', 'a', 'more', 'adequate', 'fit', 'to', 'the', 'composite', 'lfs', 'than', 'a', 'single', 'schechter', 'function', 'lfs', 'based', 'on', 'the', 'selection', 'of', 'red', 'and', 'blue', 'galaxies', 'are', 'bimodal', 'in', 'appearance', 'the', 'red', 'lfs', 'are', 'generally', 'flat', 'for', '22', 'm_rc', '18', 'with', 'a', 'radiusdependent', 'steepening', 'of', 'alpha', 'for', 'm_rc', '18', 'the', 'blue', 'lfs', 'contain', 'a', 'larger', 'contribution', 'from', 'faint', 'galaxies', 'than', 'the', 'red', 'lfs', 'the', 'blue', 'lfs', 'have', 'a', 'rising', 'faintend', 'component', 'alpha', '17', 'for', 'm_rc', '21', 'with', 'a', 'weaker', 'dependence', 'on', 'radius', 'than', 'the', 'red', 'lfs', 'the', 'dispersion', 'of', 'm', 'was', 'determined', 'to', 'be', '031', 'mag', 'which', 'is', 'comparable', 'to', 'the', 'median', 'measurement', 'uncertainty', 'of', '038', 'mag', 'this', 'suggests', 'that', 'the', 'brightend', 'of', 'the', 'lf', 'is', 'universal', 'in', 'shape', 'at', 'the', '03', 'mag', 'level', 'we', 'find', 'that', 'm', 'is', 'not', 'correlated', 'with', 'cluster', 'richness', 'when', 'using', 'a', 'common', 'dynamical', 'radius', 'also', 'we', 'find', 'that', 'm', 'is', 'weakly', 'correlated', 'with', 'bmtype', 'such', 'that', 'later', 'bmtype', 'clusters', 'have', 'a', 'brighter', 'm', 'a', 'correlation', 'between', 'm', 'and', 'radius', 'was', 'found', 'for', 'the', 'red', 'and', 'blue', 'galaxies', 'such', 'that', 'm', 'fades', 'towards', 'the', 'cluster', 'center']]
[-0.010856357504432711, 0.11540109286582483, -0.1376687790966534, 0.09852614500069697, -0.09004386112297534, -0.07150407735850316, 0.035315351331651756, 0.4868893909535789, -0.09139228833668209, -0.3511081178600029, 0.009250719498028519, -0.33043308047057407, -0.06714086113912374, 0.1864173730601074, -0.0311766756367875, -0.029376712252540505, 0.01876377063117137, -0.0636323613627448, -0.06539554753423732, -0.291827240568088, 0.28039228519224957, 0.02111071109986649, 0.18662559104185958, -0.07729497468070719, -0.003968338923706006, -0.06361753630229397, -0.06631902921643214, 0.005307680991316131, -0.16490435257061764, 0.024285941394630382, 0.1896195636585219, 0.08618837215817253, 0.28487966397799824, -0.24523000874243647, -0.14016870785078508, 0.09039037335788462, 0.20897436117270757, -0.03608222736982697, -0.026143441453063767, -0.23858611576300612, 0.10641502107866863, -0.15230476352311237, -0.18586951135733137, 0.1490700410392422, 0.09116516605600232, 0.04669797545966319, -0.2172931420450902, 0.22537233197374876, -0.017976486449542754, 0.08463033456506155, -0.07684921280307476, -0.1738352830906357, -0.11023238017732798, 0.06521292050854069, -0.035900908504397824, 0.1333822886444683, 0.1919730612687646, -0.14918980688546682, 0.03372418237986752, 0.3665104531124517, -0.06887982620169297, 0.007248948137431409, 0.17265962941764368, -0.2077057989698793, -0.17057040235336854, 0.12186318966192439, 0.09277566530183712, 0.06948729266760388, -0.1346774901999731, 0.012138839759477433, -0.011153596797901458, 0.2919288488587568, 0.04259687619706096, 0.03755539149025442, 0.2811752191786221, 0.09289538063512369, 0.08854581144174584, 0.09880837926976685, -0.19374936853671212, 0.0017030367567411318, -0.2645010960397691, -0.04503543928420164, -0.12977302849430852, 0.1035357885655258, -0.16892182324554156, -0.16829132892970025, 0.3455394596494885, 0.06617967433839102, 0.27604987461738256, 0.16899079986732934, 0.24714362314762736, 0.16386362075827346, 0.1662204643468248, 0.0807539656313385, 0.29377229827237483, 0.1625689206633581, 0.03214655771497109, -0.2251237112131377, 0.03182180638345871, -0.023154107220320085]
709.0984
Characterization of the near-Earth Asteroid 2002NY40
In August 2002, the near-Earth asteroid 2002 NY40, made its closest approach to the Earth. This provided an opportunity to study a near-Earth asteroid with a variety of instruments. Several of the telescopes at the Maui Space Surveillance System were trained at the asteroid and collected adaptive optics images, photometry and spectroscopy. Analysis of the imagery reveals the asteroid is triangular shaped with significant self-shadowing. The photometry reveals a 20-hour period and the spectroscopy shows that the asteroid is a Q-type.
astro-ph
in august 2002 the nearearth asteroid 2002 ny40 made its closest approach to the earth this provided an opportunity to study a nearearth asteroid with a variety of instruments several of the telescopes at the maui space surveillance system were trained at the asteroid and collected adaptive optics images photometry and spectroscopy analysis of the imagery reveals the asteroid is triangular shaped with significant selfshadowing the photometry reveals a 20hour period and the spectroscopy shows that the asteroid is a qtype
[['in', 'august', '2002', 'the', 'nearearth', 'asteroid', '2002', 'ny40', 'made', 'its', 'closest', 'approach', 'to', 'the', 'earth', 'this', 'provided', 'an', 'opportunity', 'to', 'study', 'a', 'nearearth', 'asteroid', 'with', 'a', 'variety', 'of', 'instruments', 'several', 'of', 'the', 'telescopes', 'at', 'the', 'maui', 'space', 'surveillance', 'system', 'were', 'trained', 'at', 'the', 'asteroid', 'and', 'collected', 'adaptive', 'optics', 'images', 'photometry', 'and', 'spectroscopy', 'analysis', 'of', 'the', 'imagery', 'reveals', 'the', 'asteroid', 'is', 'triangular', 'shaped', 'with', 'significant', 'selfshadowing', 'the', 'photometry', 'reveals', 'a', '20hour', 'period', 'and', 'the', 'spectroscopy', 'shows', 'that', 'the', 'asteroid', 'is', 'a', 'qtype']]
[-0.07164625457953662, 0.08758076090180111, -0.1994509870710317, 0.018234837079944555, -0.07871858652215451, -0.042544548254227266, 0.0113895931863226, 0.386896510515362, -0.1911258049600292, -0.3823536459240131, 0.11857769636408193, -0.3610339789534919, -0.15284224145580083, 0.25189151221420614, -0.18156041286420077, 0.06117431978855166, 0.21388729608152063, -0.07971350485750009, 0.017462003001128323, -0.2856461406452581, 0.21554255360970273, 0.12197288919705898, 0.1339280118161696, -0.07325807937886566, 0.15791262827115132, 0.011754377317265608, -0.0630139690318174, -0.08882350915264396, -0.13891293808455885, 0.1259652282227762, 0.2573463161708787, 0.11951495065586641, 0.20899938574293628, -0.3146542562521063, -0.19145845259772615, 0.04561806884303223, 0.05335060367360711, 0.019723686570068823, -0.030236976974993012, -0.3821211266564205, -0.02044855074491352, -0.20057971799833468, -0.1948253441019915, 0.04799848079564981, 0.08513713478605496, -0.023655881817103364, -0.2554970199125819, -0.04295873518567532, 0.023522401915397496, 0.23413933711126447, -0.18801018060330535, -0.11732573453191435, -0.082320311316289, 0.13991068080067634, 0.031042966124368833, 0.0418385573400883, 0.09778024055995047, -0.047858613598509694, -0.0539634654422116, 0.3843607910326682, -0.024255370037280954, 0.039166268240660426, 0.2272698067012243, -0.2002971533453092, -0.09842423912486993, 0.18802535260329023, 0.22234861538745462, 0.1200999884866178, -0.17223890462191777, 0.049092517144890734, -0.05865594539791345, 0.2008646981790662, 0.03580014341278002, 0.006717961700633168, 0.2569778897173819, 0.19484165420290084, 0.05773168736486696, 0.1360844209906645, -0.3239033497811761, -0.02327830371214077, -0.15861795120872557, -0.14091000939952208, -0.19638977645954583, 0.03333866171451518, -0.07642297394577327, -0.12128298464231194, 0.38469570322777147, 0.1330330261029303, 0.1518425969639793, -0.04318314265692606, 0.29061690538655965, -0.02765355096780695, 0.08854702211629047, 0.07411413429072126, 0.3449843341601081, 0.056969512478099206, 0.16491724762599916, -0.21030667446320878, 0.0628760478401091, -0.003446670586708933]
709.0985
Matterwave Transport Without Transit
Classically it is impossible to have transport without transit, i.e., if the points one, two and three lie sequentially along a path then an object moving from one to three must, at some point in time, be located at two. However, for a quantum particle in a three-well system it is possible to transport the particle between wells one and three such that the probability of finding it at any time in the classically accessible state in well two is negligible. We consider theoretically the analogous scenario for a Bose-Einstein condensate confined within a three well system. In particular, we predict the adiabatic transportation of an interacting Bose-Einstein condensate of 2000 Li atoms from well one to well three without transiting the allowed intermediate region. To an observer of this macroscopic quantum effect it would appear that, over a timescale of the order of one second, the condensate had transported, but not transited, a macroscopic distance of 20 microns between wells one and three.
cond-mat.other physics.atom-ph quant-ph
classically it is impossible to have transport without transit ie if the points one two and three lie sequentially along a path then an object moving from one to three must at some point in time be located at two however for a quantum particle in a threewell system it is possible to transport the particle between wells one and three such that the probability of finding it at any time in the classically accessible state in well two is negligible we consider theoretically the analogous scenario for a boseeinstein condensate confined within a three well system in particular we predict the adiabatic transportation of an interacting boseeinstein condensate of 2000 li atoms from well one to well three without transiting the allowed intermediate region to an observer of this macroscopic quantum effect it would appear that over a timescale of the order of one second the condensate had transported but not transited a macroscopic distance of 20 microns between wells one and three
[['classically', 'it', 'is', 'impossible', 'to', 'have', 'transport', 'without', 'transit', 'ie', 'if', 'the', 'points', 'one', 'two', 'and', 'three', 'lie', 'sequentially', 'along', 'a', 'path', 'then', 'an', 'object', 'moving', 'from', 'one', 'to', 'three', 'must', 'at', 'some', 'point', 'in', 'time', 'be', 'located', 'at', 'two', 'however', 'for', 'a', 'quantum', 'particle', 'in', 'a', 'threewell', 'system', 'it', 'is', 'possible', 'to', 'transport', 'the', 'particle', 'between', 'wells', 'one', 'and', 'three', 'such', 'that', 'the', 'probability', 'of', 'finding', 'it', 'at', 'any', 'time', 'in', 'the', 'classically', 'accessible', 'state', 'in', 'well', 'two', 'is', 'negligible', 'we', 'consider', 'theoretically', 'the', 'analogous', 'scenario', 'for', 'a', 'boseeinstein', 'condensate', 'confined', 'within', 'a', 'three', 'well', 'system', 'in', 'particular', 'we', 'predict', 'the', 'adiabatic', 'transportation', 'of', 'an', 'interacting', 'boseeinstein', 'condensate', 'of', '2000', 'li', 'atoms', 'from', 'well', 'one', 'to', 'well', 'three', 'without', 'transiting', 'the', 'allowed', 'intermediate', 'region', 'to', 'an', 'observer', 'of', 'this', 'macroscopic', 'quantum', 'effect', 'it', 'would', 'appear', 'that', 'over', 'a', 'timescale', 'of', 'the', 'order', 'of', 'one', 'second', 'the', 'condensate', 'had', 'transported', 'but', 'not', 'transited', 'a', 'macroscopic', 'distance', 'of', '20', 'microns', 'between', 'wells', 'one', 'and', 'three']]
[-0.1287584098200768, 0.19306063700263976, -0.08801024291442888, 0.05614422557509232, 0.008558552945032716, -0.18177491081197086, 0.041221624998930874, 0.3728238903610717, -0.2727272445790288, -0.3014847213209311, 0.08607157695791456, -0.29745227159795967, -0.07759540831022782, 0.19442300927234676, -0.001225139064999672, 0.05217083202527336, 0.012084129471232457, 0.08104059217844113, -0.012310825268774883, -0.26420785150939324, 0.32388613356572643, -0.01344238701361663, 0.19879817563994992, 0.03775213338383587, 0.11633825919977049, -0.010847716353742815, 0.06242624264517117, 0.02327521366248952, -0.0913173698472525, 0.04135932784141382, 0.21083110062655333, 0.04717043898545387, 0.26953476805966803, -0.4230096650582443, -0.19740925545849633, 0.11997072265778737, 0.17346859111723195, 0.1522778493306804, -0.020166438169459382, -0.257693060543161, 0.025809059863648856, -0.16557186616516514, -0.14219308621817972, 0.013793877726307184, 0.03760517652362313, -0.031181887403363362, -0.218078037992222, 0.049261014275366395, 0.04093449295742619, 0.03370856891937054, -0.06168634974448828, -0.040628099523728894, -0.01186410995575077, 0.12996928254142404, 0.002828893581797119, 0.04554869044038308, 0.1253274239517362, -0.11276240979652091, -0.09221945061538618, 0.4167074669470511, -0.06664506809448073, -0.16704591503650768, 0.23941199393465934, -0.17834794927507686, -0.0798748435577514, 0.13607582445369987, 0.11154881475504669, 0.13003430801171173, -0.16524776497503696, 0.008680839241672558, -0.044015416015143985, 0.1547173906478636, 0.0832454569299887, 0.045739984968904315, 0.2936122318282642, 0.16056185228062975, 0.08623279784323375, 0.11992882285834994, -0.13296753730022962, -0.1533914314893148, -0.28749698108607313, -0.19313455831611576, -0.20997845036227528, 0.04232938970567264, -0.047956347452471654, -0.1417768982284498, 0.3758292065758724, 0.15341155868159925, 0.2287670198214672, -0.012609007906043766, 0.2932553821209273, 0.09270552426531184, 0.06428821095288163, 0.08481124234782417, 0.28609777518307433, 0.08031936105136282, 0.08062434120305315, -0.20364023715406004, 0.00554366292759901, 0.016630604606911133]
709.0986
Self-injective algebras and the second Hochschild cohomology group
In this paper we study the second Hochschild cohomology group ${HH}^2(\Lambda)$ of a finite dimensional algebra $\Lambda$. In particular, we determine ${HH}^2(\Lambda)$ where $\Lambda$ is a finite dimensional self-injective algebra of finite representation type over an algebraically closed field $K$ and show that this group is zero for most such $\Lambda$; we give a basis for ${HH}^2(\Lambda)$ in the few cases where it is not zero.
math.RT
in this paper we study the second hochschild cohomology group hh2lambda of a finite dimensional algebra lambda in particular we determine hh2lambda where lambda is a finite dimensional selfinjective algebra of finite representation type over an algebraically closed field k and show that this group is zero for most such lambda we give a basis for hh2lambda in the few cases where it is not zero
[['in', 'this', 'paper', 'we', 'study', 'the', 'second', 'hochschild', 'cohomology', 'group', 'hh2lambda', 'of', 'a', 'finite', 'dimensional', 'algebra', 'lambda', 'in', 'particular', 'we', 'determine', 'hh2lambda', 'where', 'lambda', 'is', 'a', 'finite', 'dimensional', 'selfinjective', 'algebra', 'of', 'finite', 'representation', 'type', 'over', 'an', 'algebraically', 'closed', 'field', 'k', 'and', 'show', 'that', 'this', 'group', 'is', 'zero', 'for', 'most', 'such', 'lambda', 'we', 'give', 'a', 'basis', 'for', 'hh2lambda', 'in', 'the', 'few', 'cases', 'where', 'it', 'is', 'not', 'zero']]
[-0.1906584546562623, 0.10856025785434406, -0.07910172251462372, 0.023516450904549634, -0.11291710723360832, -0.15369985244857767, -0.03378035531513336, 0.3553509043783627, -0.33981004072473187, -0.133277748485632, 0.10541086406341162, -0.2031276552641595, -0.12746662209798215, 0.16836996177550068, -0.071834610669281, -0.10559645939131522, 0.026041471004260307, 0.2123283725514105, -0.06527041438896435, -0.2800630017776381, 0.4037043924697421, -0.06095283851027489, 0.19955142240294002, 0.04504046383821829, 0.11047706877191861, 0.004706435759241383, 0.03129129346714101, 0.03872002371796649, -0.19021740763602077, 0.052481074527322286, 0.3642069045595373, 0.03911653053805684, 0.26098837175716955, -0.33048263578816794, -0.1393452296809604, 0.20348504933556824, 0.19405094616707752, 0.0864936401679491, -0.03475811051656351, -0.19207536336740083, 0.1738769230785582, -0.2548241495070132, -0.11891911010907004, -0.07060974420076518, 0.11879001286367631, -0.057615716281967856, -0.2703292467560845, 0.015631934924220495, 0.06632020225691976, 0.19685093148357488, -0.0823854100361297, -0.0965600034193785, 0.01068112508139827, 0.07189036629896497, -0.03394536778090917, 0.030814045754430645, 0.03933010588287178, -0.09657642586358689, -0.08426326274815382, 0.3860408238445719, -0.10337557454565258, -0.23114810804272015, 0.1297636815967659, -0.23481216452394923, -0.17953321552186302, 0.088661654767665, 0.07032597567321676, 0.1914992504612063, -0.03202922400933775, 0.25320783504337835, -0.1301666771777849, 0.11551834069982622, 0.03218683405694636, -0.017139000415971332, 0.10382415968078104, 0.1355028046598432, 0.07875876429765909, 0.12543196434324438, 0.002854485572739081, -0.03618765369085877, -0.39946216852827504, -0.22844668997056555, -0.13481510501129157, 0.13664839327512626, -0.10077375050075882, -0.19954310004796946, 0.39039014511261927, 0.12107320756926625, 0.1903098035801315, 0.08001755014287704, 0.21427367401845526, 0.1287194361599783, 0.07313043570541071, 0.06238983453702972, 0.09002247864775585, 0.20654020435882336, -0.027208613268819383, -0.15790496001445167, -0.07759407217346245, 0.1684981991367584]
709.0987
The combinatorics of associated Hermite polynomials
We develop a combinatorial model of the associated Hermite polynomials and their moments, and prove their orthogonality with a sign-reversing involution. We find combinatorial interpretations of the moments as complete matchings, connected complete matchings, oscillating tableaux, and rooted maps and show weight-preserving bijections between these objects. Several identities, linearization formulas, the moment generating function, and a second combinatorial model are also derived.
math.CO
we develop a combinatorial model of the associated hermite polynomials and their moments and prove their orthogonality with a signreversing involution we find combinatorial interpretations of the moments as complete matchings connected complete matchings oscillating tableaux and rooted maps and show weightpreserving bijections between these objects several identities linearization formulas the moment generating function and a second combinatorial model are also derived
[['we', 'develop', 'a', 'combinatorial', 'model', 'of', 'the', 'associated', 'hermite', 'polynomials', 'and', 'their', 'moments', 'and', 'prove', 'their', 'orthogonality', 'with', 'a', 'signreversing', 'involution', 'we', 'find', 'combinatorial', 'interpretations', 'of', 'the', 'moments', 'as', 'complete', 'matchings', 'connected', 'complete', 'matchings', 'oscillating', 'tableaux', 'and', 'rooted', 'maps', 'and', 'show', 'weightpreserving', 'bijections', 'between', 'these', 'objects', 'several', 'identities', 'linearization', 'formulas', 'the', 'moment', 'generating', 'function', 'and', 'a', 'second', 'combinatorial', 'model', 'are', 'also', 'derived']]
[-0.1776567987887369, 0.08175946938835325, -0.08811352867633104, 0.16963390131000308, -0.16575596935205883, -0.10638163077284492, 0.07824794132912141, 0.3653848972622185, -0.35726305157426863, -0.2949598567567826, 0.06611752944938358, -0.28316909345167296, -0.21311377544677065, 0.12035003982694639, -0.09972793927989833, -0.004975875141099095, 0.053218589998000575, 0.025140771221730016, -0.10345853990351785, -0.23354986085624044, 0.32244982885669976, -0.05074953259299359, 0.18994107702371454, 0.03709039524678261, 0.13935315302543103, -0.0021926880018004486, -0.07014648012456394, -0.011193440145542544, -0.1757440392618939, 0.15493187324834928, 0.23228779992449186, 0.1195160047744491, 0.12453971965418707, -0.4082465870005469, -0.029971139280185584, 0.18341119063928002, 0.1273906959986855, 0.050642300201880354, -0.060361603188568785, -0.25618190663836654, 0.02706999638898959, -0.14595092211159005, -0.15029455108507986, -0.15097643559302895, 0.03887318067192551, 0.133911163118037, -0.30650192946796456, 0.003287245353755181, 0.17150005071063437, 0.1311292527694135, -0.042344298003421675, -0.19690904681450658, -0.049414494743330345, 0.06627460982980987, -0.03237558225725567, -0.02264247501959964, 0.011600480475012333, -0.1099416714991563, -0.2243734104633932, 0.33638060454189056, 0.07333024065531302, -0.23312643248467677, 0.11203521443155384, -0.1534012243031494, -0.18812307240366336, 0.08581199843977247, 0.06685231890409224, 0.19715905163977895, -0.11356963061036603, 0.07277064244244097, -0.15091264142744965, 0.04141604602937737, 0.17507220584628802, 0.022450998725910342, 0.22284105409597676, -0.014852167647932806, 0.0659865498873255, 0.2355642362587875, 0.02174099856112603, -0.09294441571429131, -0.29865071598079895, -0.12460827285183533, -0.13995954304212524, 0.03581798217830158, -0.1932406642297264, -0.24914075603948965, 0.40238576600207915, 0.10283977452725653, 0.2063679159168274, 0.1969630704111149, 0.21699996605034796, 0.13566842261934653, 0.032867143178478844, 0.006448033017917506, 0.07243664709911231, 0.2785545142495163, -0.005393927744139106, -0.13843030100096873, 0.04423005729463072, 0.24032263350372593]
709.0988
On the Embeddability of Skeleta of Spheres
We consider a generalization of the van Kampen-Flores Theorem and relate it to the long-standing $g$-conjecture for simplicial spheres.
math.CO math.AT
we consider a generalization of the van kampenflores theorem and relate it to the longstanding gconjecture for simplicial spheres
[['we', 'consider', 'a', 'generalization', 'of', 'the', 'van', 'kampenflores', 'theorem', 'and', 'relate', 'it', 'to', 'the', 'longstanding', 'gconjecture', 'for', 'simplicial', 'spheres']]
[-0.09257893553493839, -0.0034601306542754173, -0.09956282671344907, 0.15079343701271633, -0.05800385537900423, -0.15645192472852373, 0.03310519760768665, 0.23292403109371662, -0.32095570141743673, -0.2430322482005546, 0.04343887756725675, -0.2915980308071563, -0.22612184678253375, 0.1929722214607816, -0.20250233493157124, 0.0032199691785009285, 0.04116674061668547, -0.04006422340477768, -0.0041614253760168425, -0.26650047479932637, 0.39458370282265703, -0.03693979615835767, 0.1927848854347279, 0.2204897423568917, 0.1343538574874401, 0.11881468431487233, -0.012147128974136553, 0.06060979456493729, -0.2927132342500906, 0.15464412724893345, 0.2541374992579222, 0.0332553124937572, 0.23562959660040705, -0.34874086376083524, -0.1622762548688211, 0.16500493585083045, 0.00968998709791585, 0.08980684247063964, 0.048084173866204526, -0.25564194745139074, 0.12354813144836378, -0.1502085434714038, -0.22574123857836975, -0.10244484843784257, 0.04638297365684258, 0.0016735548055485676, -0.17015173227379196, 0.05017384847528056, 0.20890583127344908, -0.006686520856946069, -0.0708452709215252, -0.08016634359955788, 0.06602431127899572, 0.07923922802958834, -0.03945583671846084, 0.015470613725483418, 0.046122780780455, -0.0778277118347193, -0.14765278328406184, 0.4198502757047352, -0.01751343528495023, -0.21322419484587093, 0.1704438731662537, -0.08611554809306797, -0.20837553051349364, 0.029705651447569068, 0.052518951020350584, 0.12853433843702078, -0.010172743497318342, 0.158841943708371, -0.17162194691206278, 0.04323345084527606, 0.24109317891691862, -0.04796844823776107, 0.17322961059644035, 0.10101147699414899, 0.11477583313458845, 0.2366419032608208, 0.0076191359885821215, -0.11644380971005089, -0.2218723340254081, -0.2729274693288301, -0.2004091739654541, 0.15551277230444707, -0.09568154500524734, -0.2722748349371709, 0.26054525394973, 0.0834619365877619, 0.19798159639130494, 0.1599868891368571, 0.2202515704924927, 0.03789299824520161, 0.004052685524680112, -0.026169494431661933, 0.17920478158875516, 0.3207876225443263, 0.055124797319111074, -0.1134094533979231, -0.09136984950715774, 0.272535686822314]
709.0989
Trans-phonon effects in ultrafast nano-devices
We report a novel phenomenon in carbon nanotube (CNT) based devices, the transphonon effects, which resemble the transonic effects in aerodynamics. It is caused by dissipative resonance of nanotube phonons similar to the radial breathing mode, and subsequent drastic surge of the dragging force on the sliding tube, and multiple phonon barriers are encountered as the intertube sliding velocity reaches critical values. It is found that the transphonon effects can be tuned by applying geometric constraints or varying chirality combinations of the nanotubes.
cond-mat.mtrl-sci cond-mat.stat-mech
we report a novel phenomenon in carbon nanotube cnt based devices the transphonon effects which resemble the transonic effects in aerodynamics it is caused by dissipative resonance of nanotube phonons similar to the radial breathing mode and subsequent drastic surge of the dragging force on the sliding tube and multiple phonon barriers are encountered as the intertube sliding velocity reaches critical values it is found that the transphonon effects can be tuned by applying geometric constraints or varying chirality combinations of the nanotubes
[['we', 'report', 'a', 'novel', 'phenomenon', 'in', 'carbon', 'nanotube', 'cnt', 'based', 'devices', 'the', 'transphonon', 'effects', 'which', 'resemble', 'the', 'transonic', 'effects', 'in', 'aerodynamics', 'it', 'is', 'caused', 'by', 'dissipative', 'resonance', 'of', 'nanotube', 'phonons', 'similar', 'to', 'the', 'radial', 'breathing', 'mode', 'and', 'subsequent', 'drastic', 'surge', 'of', 'the', 'dragging', 'force', 'on', 'the', 'sliding', 'tube', 'and', 'multiple', 'phonon', 'barriers', 'are', 'encountered', 'as', 'the', 'intertube', 'sliding', 'velocity', 'reaches', 'critical', 'values', 'it', 'is', 'found', 'that', 'the', 'transphonon', 'effects', 'can', 'be', 'tuned', 'by', 'applying', 'geometric', 'constraints', 'or', 'varying', 'chirality', 'combinations', 'of', 'the', 'nanotubes']]
[-0.17878607389183693, 0.23223096030522827, -0.07422521204492193, -0.029545569522191346, -0.08651936289647387, -0.15863552732669092, 0.049358941384671645, 0.3998109848686942, -0.2873865443247336, -0.2738862564488326, 0.042184912815207136, -0.2642741835587026, -0.1619927449364583, 0.2078638023806069, -0.045382072430471945, 0.05953752832867372, 0.07687420833763885, -0.041931656263998626, -0.01212031713594901, -0.14735407394322533, 0.2657752003877159, 0.05448366043676714, 0.3498575257735304, 0.11609286808747982, 0.054533135818524495, -0.01340944417119946, 0.05241442951237219, 0.08032485654715586, -0.16073447683537564, 0.03740366528466068, 0.15972159601702, -0.09064366412672421, 0.279953772271121, -0.4937866340264862, -0.2409572993853578, 0.018799965384841702, 0.1643583788306533, 0.16366219105677576, -0.013102415640102585, -0.2904918705009752, 0.032811399572241454, -0.1273139329040768, -0.11213515957879955, -0.026799099384749562, 0.04427923634648323, 0.054441476223507416, -0.208690894074899, 0.12618301976702095, 0.037831954203867986, 0.06529612456344897, -0.08558093065077606, -0.09053506146840475, -0.08183570408526762, 0.07662522695372226, 0.10841949754911992, -0.0010536852419192409, 0.32415740928946085, -0.09862532990806402, -0.07753816635037462, 0.418371503195369, -0.07794280196568802, -0.15836712971015654, 0.16212928634608326, -0.12292267362598652, -0.010566801939412583, 0.16963392459316018, 0.12863778699488368, 0.09766026713632416, -0.11631267959895877, -0.027736630131214583, 0.030089203555734804, 0.10630961376483794, 0.1364933431757913, 0.04170716694774635, 0.281111773620877, 0.18111837103985895, 0.029132106398910652, 0.14308622186100917, -0.15247359385219528, -0.05518852096096969, -0.22958755170722367, -0.11814121722910599, -0.1638857463937408, 0.012857739399704669, -0.06523597416328554, -0.1974708161857209, 0.37746799280752, 0.11297506545770937, 0.18904287416349957, -0.0491094983967573, 0.2730541110698444, 0.1346458886760103, 0.15747056634705744, 0.010944991156941763, 0.3213428644762363, 0.1487934859642, 0.1020930426965617, -0.3226664361750914, 0.07436630755294989, 0.003840516041101957]
709.099
Some discretizations of geometric evolution equations and the Ricci iteration on the space of Kahler metrics, I
In this article and in its sequel we propose the study of certain discretizations of geometric evolution equations as an approach to the study of the existence problem of some elliptic partial differential equations of a geometric nature as well as a means to obtain interesting dynamics on certain infinite-dimensional spaces. We illustrate the fruitfulness of this approach in the context of the Ricci flow, as well as another flow, in Kahler geometry. We introduce and study dynamical systems related to the Ricci operator on the space of Kahler metrics that arise as discretizations of these flows. We pose some problems regarding their dynamics. We point out a number of applications to well-studied objects in Kahler and conformal geometry such as constant scalar curvature metrics, Kahler-Ricci solitons, Nadel-type multiplier ideal sheaves, balanced metrics, the Moser-Trudinger-Onofri inequality, energy functionals and the geometry and structure of the space of Kahler metrics. E.g., we obtain a new sharp inequality strengthening the classical Moser-Trudinger-Onofri inequality on the two-sphere.
math.DG math.AP
in this article and in its sequel we propose the study of certain discretizations of geometric evolution equations as an approach to the study of the existence problem of some elliptic partial differential equations of a geometric nature as well as a means to obtain interesting dynamics on certain infinitedimensional spaces we illustrate the fruitfulness of this approach in the context of the ricci flow as well as another flow in kahler geometry we introduce and study dynamical systems related to the ricci operator on the space of kahler metrics that arise as discretizations of these flows we pose some problems regarding their dynamics we point out a number of applications to wellstudied objects in kahler and conformal geometry such as constant scalar curvature metrics kahlerricci solitons nadeltype multiplier ideal sheaves balanced metrics the mosertrudingeronofri inequality energy functionals and the geometry and structure of the space of kahler metrics eg we obtain a new sharp inequality strengthening the classical mosertrudingeronofri inequality on the twosphere
[['in', 'this', 'article', 'and', 'in', 'its', 'sequel', 'we', 'propose', 'the', 'study', 'of', 'certain', 'discretizations', 'of', 'geometric', 'evolution', 'equations', 'as', 'an', 'approach', 'to', 'the', 'study', 'of', 'the', 'existence', 'problem', 'of', 'some', 'elliptic', 'partial', 'differential', 'equations', 'of', 'a', 'geometric', 'nature', 'as', 'well', 'as', 'a', 'means', 'to', 'obtain', 'interesting', 'dynamics', 'on', 'certain', 'infinitedimensional', 'spaces', 'we', 'illustrate', 'the', 'fruitfulness', 'of', 'this', 'approach', 'in', 'the', 'context', 'of', 'the', 'ricci', 'flow', 'as', 'well', 'as', 'another', 'flow', 'in', 'kahler', 'geometry', 'we', 'introduce', 'and', 'study', 'dynamical', 'systems', 'related', 'to', 'the', 'ricci', 'operator', 'on', 'the', 'space', 'of', 'kahler', 'metrics', 'that', 'arise', 'as', 'discretizations', 'of', 'these', 'flows', 'we', 'pose', 'some', 'problems', 'regarding', 'their', 'dynamics', 'we', 'point', 'out', 'a', 'number', 'of', 'applications', 'to', 'wellstudied', 'objects', 'in', 'kahler', 'and', 'conformal', 'geometry', 'such', 'as', 'constant', 'scalar', 'curvature', 'metrics', 'kahlerricci', 'solitons', 'nadeltype', 'multiplier', 'ideal', 'sheaves', 'balanced', 'metrics', 'the', 'mosertrudingeronofri', 'inequality', 'energy', 'functionals', 'and', 'the', 'geometry', 'and', 'structure', 'of', 'the', 'space', 'of', 'kahler', 'metrics', 'eg', 'we', 'obtain', 'a', 'new', 'sharp', 'inequality', 'strengthening', 'the', 'classical', 'mosertrudingeronofri', 'inequality', 'on', 'the', 'twosphere']]
[-0.16782539077873324, 0.014317687618686029, -0.09575760176564317, 0.11207922093609984, -0.10041276815279228, -0.1174191991825554, -0.04140826743436841, 0.3237958520696294, -0.3056988980303087, -0.25717684882125114, 0.15491284300834396, -0.2567569466262329, -0.21155386067154566, 0.19661673580483738, -0.14421611985975377, 0.07420707445715202, 0.03458568793948649, 0.043280756240142736, -0.11178650858488343, -0.24641703196699027, 0.4486255647114864, 0.0026149752992773202, 0.22395329208754958, 0.11142638030677761, 0.12965342148616002, -0.029499420571061443, 0.0013314133578139107, 0.04236891742464916, -0.20706805890084778, 0.14288348719838256, 0.2277074868523902, 0.09082683120646923, 0.24298459777421114, -0.3797701844582107, -0.23785390900788692, 0.14231712575831518, 0.10290229815104905, 0.06105065713892123, -0.03578104458468194, -0.30061948738946787, 0.03850688937222358, -0.11093928225667829, -0.18305806105845698, -0.12145093732751996, -0.038366622277308346, 0.04604058791230228, -0.18508659470890274, 0.06900392799558709, 0.08956771675357453, 0.046263403320264795, -0.10623124697339358, -0.06665897851940472, -0.03566938851074111, 0.07379371354785157, 0.07860535744750849, 0.008626749176850043, 0.10488099316113754, -0.12391188903285827, -0.1312830634493233, 0.38894310827003564, -0.10688231738423361, -0.27617766131169913, 0.12782842980941939, -0.0929701177761095, -0.14010054344118278, 0.03268238415419147, 0.2243893412424524, 0.20823790526539995, -0.08518967487623563, 0.1279941763847402, -0.07042188825937223, 0.06654850517420195, 0.08929412277051951, 0.05820731184070521, 0.12162085987127773, 0.12263710159672106, 0.15936666826728912, 0.15656313952626433, 0.007448715840682115, -0.13994302673985126, -0.3790143170939168, -0.21943457147515402, -0.11987400960415692, 0.14771197320007515, -0.15511876425293072, -0.21265010432362919, 0.399645554810399, 0.0573631126039467, 0.21584701027562161, 0.053392737279021434, 0.23383518835961273, 0.06553331608479422, 0.012775211350810601, 0.051539339388510574, 0.20226354386391993, 0.21600821255365524, 0.13372854822210217, -0.17402300046666003, -0.05598043623130496, 0.16915923282333717]
709.0991
Comments on a faint old stellar system at 150 kpc
Context.Recent study of SDSS J1257+3419 has revealed that this stellar system is either a faint and small dwarf galaxy or a faint and widely extended globular cluster (see also arXiv:0709.0327 [astro-ph]). Aims.In this short note, the author suggests that this system is one of the smallest dwarf spheroidals (dSphs) in the Milky Way. Methods.We re-examine some observational quantities of this object and check whether it can be bound system. Results. As a result, we find the mass of SDSS J1257+3419 is the lowest of dSphs in the Milky Way, and its mass density is typical of dSphs. Important is that the tidal radius of SDSS J1257+3419 is much larger than its half-light radius. That is, this very small dSph can be bound by its own gravity.
astro-ph
contextrecent study of sdss j12573419 has revealed that this stellar system is either a faint and small dwarf galaxy or a faint and widely extended globular cluster see also arxiv07090327 astroph aimsin this short note the author suggests that this system is one of the smallest dwarf spheroidals dsphs in the milky way methodswe reexamine some observational quantities of this object and check whether it can be bound system results as a result we find the mass of sdss j12573419 is the lowest of dsphs in the milky way and its mass density is typical of dsphs important is that the tidal radius of sdss j12573419 is much larger than its halflight radius that is this very small dsph can be bound by its own gravity
[['contextrecent', 'study', 'of', 'sdss', 'j12573419', 'has', 'revealed', 'that', 'this', 'stellar', 'system', 'is', 'either', 'a', 'faint', 'and', 'small', 'dwarf', 'galaxy', 'or', 'a', 'faint', 'and', 'widely', 'extended', 'globular', 'cluster', 'see', 'also', 'arxiv07090327', 'astroph', 'aimsin', 'this', 'short', 'note', 'the', 'author', 'suggests', 'that', 'this', 'system', 'is', 'one', 'of', 'the', 'smallest', 'dwarf', 'spheroidals', 'dsphs', 'in', 'the', 'milky', 'way', 'methodswe', 'reexamine', 'some', 'observational', 'quantities', 'of', 'this', 'object', 'and', 'check', 'whether', 'it', 'can', 'be', 'bound', 'system', 'results', 'as', 'a', 'result', 'we', 'find', 'the', 'mass', 'of', 'sdss', 'j12573419', 'is', 'the', 'lowest', 'of', 'dsphs', 'in', 'the', 'milky', 'way', 'and', 'its', 'mass', 'density', 'is', 'typical', 'of', 'dsphs', 'important', 'is', 'that', 'the', 'tidal', 'radius', 'of', 'sdss', 'j12573419', 'is', 'much', 'larger', 'than', 'its', 'halflight', 'radius', 'that', 'is', 'this', 'very', 'small', 'dsph', 'can', 'be', 'bound', 'by', 'its', 'own', 'gravity']]
[-0.09406858207582827, 0.0644405402239382, -0.15941910690537864, 0.14945621362177566, -0.15651803686764212, -0.05266230081343242, 0.012674356900876569, 0.36518856119965354, -0.14609245572149032, -0.36353617882536304, 0.03069370367466622, -0.28948161116380605, -0.09273947653878901, 0.22080823467225738, -0.1037094634657185, -0.04973506884069197, 0.09384887711325239, -0.012895304647709934, -0.0463375807026281, -0.34294475419371717, 0.3004965874321398, 0.05446880346825046, 0.097452465229341, -0.05505257820139729, 0.017621857072827558, -0.10897036397176224, -0.04401577745128663, -0.015466547614308976, -0.1803832862447786, 0.018604727619658073, 0.22769504057566425, 0.13761461013928056, 0.24763339984741423, -0.3097102509420966, -0.17666687600825343, 0.10036331453480787, 0.23455770808317128, 0.0909316430258895, -0.07689651726715026, -0.2863123446642872, 0.13758213173658138, -0.251953408069488, -0.2052174938219269, 0.06377648990300874, 0.11343622057428283, 0.019467296767904752, -0.1488806397941399, 0.15785285580932396, 0.08752433129120618, 0.05111100423833235, -0.08507591913427948, -0.10555003046888047, -0.04660214869833116, 0.05849596201780162, 0.05313610178305798, 0.09123342309988314, 0.19448875980226382, -0.1071838338281058, 0.041295290423271756, 0.445244453111363, -0.0576086980221472, -0.012953890667807671, 0.20480658434661886, -0.19241338048595935, -0.17932412029814818, 0.015769521232634302, 0.10251497810015515, 0.11609191317503216, -0.21290604517449654, 0.09327798055282104, -0.11773732344661239, 0.22492880028327025, 0.04634074653468786, 0.0685577118346109, 0.31437768249381937, 0.13534381540516588, 0.14011332287543243, 0.05639573912917366, -0.19340696798697596, 0.009647524412420968, -0.20056029694575456, -0.14129483152646571, -0.1949421318751129, 0.06511080824589778, -0.12116300469337617, -0.1148490636128812, 0.332080794979007, 0.1257963257638978, 0.235226214215565, 0.058448217996966936, 0.35602908071145534, 0.10745619448754305, 0.13299133021369455, 0.09863989340374246, 0.3032110346973622, 0.16451796946573943, 0.021132507308896993, -0.22351404880887019, 0.08114010930406831, 0.00775291392910144]
709.0992
Graphene nano-ribbon under tension
The mechanical response of graphene nano-ribbon under tensile loading has been investigated using atomistic simulation. Lattice symmetry dependence of elastic properties are found, which fits prediction from Cauchy-Born rule well. Concurrent brittle and ductile behaviors are observed in the failure process at elastic limit, which dominates at low and high temperature respectively. In addition, the free edges of finite width ribbon help to activate bond-flip events and initialize ductile behavior.
cond-mat.mtrl-sci
the mechanical response of graphene nanoribbon under tensile loading has been investigated using atomistic simulation lattice symmetry dependence of elastic properties are found which fits prediction from cauchyborn rule well concurrent brittle and ductile behaviors are observed in the failure process at elastic limit which dominates at low and high temperature respectively in addition the free edges of finite width ribbon help to activate bondflip events and initialize ductile behavior
[['the', 'mechanical', 'response', 'of', 'graphene', 'nanoribbon', 'under', 'tensile', 'loading', 'has', 'been', 'investigated', 'using', 'atomistic', 'simulation', 'lattice', 'symmetry', 'dependence', 'of', 'elastic', 'properties', 'are', 'found', 'which', 'fits', 'prediction', 'from', 'cauchyborn', 'rule', 'well', 'concurrent', 'brittle', 'and', 'ductile', 'behaviors', 'are', 'observed', 'in', 'the', 'failure', 'process', 'at', 'elastic', 'limit', 'which', 'dominates', 'at', 'low', 'and', 'high', 'temperature', 'respectively', 'in', 'addition', 'the', 'free', 'edges', 'of', 'finite', 'width', 'ribbon', 'help', 'to', 'activate', 'bondflip', 'events', 'and', 'initialize', 'ductile', 'behavior']]
[-0.09615002815490184, 0.20086276867305455, -0.07747366323567711, 0.017834058656671255, -0.05669846839568429, -0.16472459765340108, 0.0574863444932777, 0.45191782982884976, -0.30050669378344563, -0.27316823747494945, 0.03996319505656003, -0.31313712905714475, -0.13307559310688058, 0.10529098719817356, 0.044022879758984716, 0.12526652465938873, 0.04403545739858047, -0.034768149317444666, -0.0571731722144329, -0.18433477433627823, 0.1702726543577307, 0.10004250323939798, 0.4152157312070114, 0.10289940015544467, 0.02659162823650716, 0.041748014045879245, 0.10552187029110349, 0.05499115867027338, -0.17830583968105307, -0.004208930106698603, 0.2549716481513789, -0.11025954259600004, 0.18180343784067943, -0.4929406593243281, -0.22119752678048352, -0.0030890131045294843, 0.11469783825610859, 0.08112011061967823, 0.038335622558235256, -0.1931698604122452, 0.13777081816173767, -0.1496385981909175, -0.12205397643898007, -0.06554740163889053, 0.005823828887356364, 0.0374839319071422, -0.24634997071563333, 0.13629763754273672, 0.023364018097999033, 0.11793114101190282, -0.11242561909518596, -0.10355631009662065, -0.09403504769695734, 0.06388144494722718, 0.10199275989367194, -0.03204407259497954, 0.2617254680903304, -0.11410207610469365, -0.0749000538835653, 0.42867468710502854, -0.003056996299520783, -0.09842674350500971, 0.20721799005632816, -0.12289675738176574, -0.09308297928098751, 0.24303395529210137, 0.17377282179676104, 0.05107415866349702, -0.14343112641675532, 0.023736100375190028, 0.053106443372730544, 0.11245328064947187, 0.11294424923919681, 0.011262607355804546, 0.21077189008718816, 0.21467551192187745, -0.04375997938863609, 0.17652296636631523, -0.07333417281009041, -0.03931979882274417, -0.27853760700267943, -0.08121517081272558, -0.1650726087998761, 0.05978564549898864, -0.0933976348388714, -0.2141750112152321, 0.3529555693376755, 0.11170690002567742, 0.19671690116460988, 0.05358781051430581, 0.2004095993909067, 0.1137700463388709, 0.07486838832551586, 0.03994790133952662, 0.27244373158538254, 0.15299938507783023, 0.07276680445015106, -0.2529741612944644, 0.1518274616143005, -0.014222829616156177]
709.0993
The Description of Information in 4-Dimensional Pseudo-Euclidean Information Space
This article is presented new method of description information systems in abstract 4-dimensional pseudo-Euclidean information space (4-DPIES) with using special relativity (SR) methods. This purpose core postulates of existence 4-DPIES are formulated. The theorem setting existence criteria of the invariant velocity of the information transference is formulated and proved. One more theorem allowed relating discrete parameters of information and continuous space-time treating and also row of supplementary theorems is formulated and proved. For description of dynamics and interaction of information, in article is introduced general parameter of information - generalized information emotion (GIE), reminding simultaneously on properties the mass and the charge. At performing calculation of information observable parameters in the information space is introduced continual integration methods of Feynman. The applying idea about existence of GIE as measures of the information inertness and the interaction carrier, and using continual integration methods of Feynman can be calculated probability of information process in 4-DPIES. In this frame presented approach has allowed considering information systems when interest is presented with information processes, their related with concrete definition without necessity. The relation between 4-DPIES and real systems parameters is set at modelling of matching between observable processes and real phenomena from information interpretation.
cs.IT math.IT nlin.AO physics.soc-ph
this article is presented new method of description information systems in abstract 4dimensional pseudoeuclidean information space 4dpies with using special relativity sr methods this purpose core postulates of existence 4dpies are formulated the theorem setting existence criteria of the invariant velocity of the information transference is formulated and proved one more theorem allowed relating discrete parameters of information and continuous spacetime treating and also row of supplementary theorems is formulated and proved for description of dynamics and interaction of information in article is introduced general parameter of information generalized information emotion gie reminding simultaneously on properties the mass and the charge at performing calculation of information observable parameters in the information space is introduced continual integration methods of feynman the applying idea about existence of gie as measures of the information inertness and the interaction carrier and using continual integration methods of feynman can be calculated probability of information process in 4dpies in this frame presented approach has allowed considering information systems when interest is presented with information processes their related with concrete definition without necessity the relation between 4dpies and real systems parameters is set at modelling of matching between observable processes and real phenomena from information interpretation
[['this', 'article', 'is', 'presented', 'new', 'method', 'of', 'description', 'information', 'systems', 'in', 'abstract', '4dimensional', 'pseudoeuclidean', 'information', 'space', '4dpies', 'with', 'using', 'special', 'relativity', 'sr', 'methods', 'this', 'purpose', 'core', 'postulates', 'of', 'existence', '4dpies', 'are', 'formulated', 'the', 'theorem', 'setting', 'existence', 'criteria', 'of', 'the', 'invariant', 'velocity', 'of', 'the', 'information', 'transference', 'is', 'formulated', 'and', 'proved', 'one', 'more', 'theorem', 'allowed', 'relating', 'discrete', 'parameters', 'of', 'information', 'and', 'continuous', 'spacetime', 'treating', 'and', 'also', 'row', 'of', 'supplementary', 'theorems', 'is', 'formulated', 'and', 'proved', 'for', 'description', 'of', 'dynamics', 'and', 'interaction', 'of', 'information', 'in', 'article', 'is', 'introduced', 'general', 'parameter', 'of', 'information', 'generalized', 'information', 'emotion', 'gie', 'reminding', 'simultaneously', 'on', 'properties', 'the', 'mass', 'and', 'the', 'charge', 'at', 'performing', 'calculation', 'of', 'information', 'observable', 'parameters', 'in', 'the', 'information', 'space', 'is', 'introduced', 'continual', 'integration', 'methods', 'of', 'feynman', 'the', 'applying', 'idea', 'about', 'existence', 'of', 'gie', 'as', 'measures', 'of', 'the', 'information', 'inertness', 'and', 'the', 'interaction', 'carrier', 'and', 'using', 'continual', 'integration', 'methods', 'of', 'feynman', 'can', 'be', 'calculated', 'probability', 'of', 'information', 'process', 'in', '4dpies', 'in', 'this', 'frame', 'presented', 'approach', 'has', 'allowed', 'considering', 'information', 'systems', 'when', 'interest', 'is', 'presented', 'with', 'information', 'processes', 'their', 'related', 'with', 'concrete', 'definition', 'without', 'necessity', 'the', 'relation', 'between', '4dpies', 'and', 'real', 'systems', 'parameters', 'is', 'set', 'at', 'modelling', 'of', 'matching', 'between', 'observable', 'processes', 'and', 'real', 'phenomena', 'from', 'information', 'interpretation']]
[-0.10937167300863762, 0.08323552470008408, -0.10299930798829342, 0.09356382066516059, -0.08758674241747501, -0.1356775743744088, 0.038245546027500854, 0.32439572997531624, -0.2621951215858361, -0.31308352338365425, 0.10234761346147943, -0.2522196043200847, -0.14742322157525536, 0.18881298610519373, -0.08478389026587782, 0.0589712867162298, 0.05768892464073534, 0.06697435972652861, -0.09097558226969898, -0.20482132326572872, 0.3549691991197254, 0.045944666421513576, 0.2808173259991647, 0.0743111798623998, 0.14370208750268323, 0.08297171245268242, -0.11811827532549263, 0.012594649188826563, -0.16350337935976647, 0.1457320286005492, 0.2767726914686895, 0.1789994312862131, 0.2501972100168616, -0.37258690574098774, -0.22929913743431843, 0.08501869432122713, 0.09556976685899511, 0.09922071323547531, -0.025827441198166913, -0.31604932863546076, 0.017242698967644018, -0.13807501079018542, -0.12885875119851087, -0.09772683062705319, 0.01155775538341484, -0.016855960343285795, -0.27351221590579006, 0.09332755911523762, 0.08980241770523802, 0.07216494729807928, -0.08388551142670439, -0.06687597257094505, -0.0402183699545605, 0.13361005839758935, 0.03743673163631711, -0.0019334223666626156, 0.12328206955738384, -0.0888157873823958, -0.1452984122475188, 0.3761947771450083, -0.02955409172622852, -0.2390091157373247, 0.13994292347883833, -0.10858152567493219, -0.13954386711307806, 0.10478139592126368, 0.13386812856322594, 0.11965145416857309, -0.1997225434164986, 0.09006828137020575, -0.007616221504613533, 0.13190940712653476, 0.08493407877236979, 0.11037096751756713, 0.18420179657715294, 0.15577607544667868, 0.020004092261719345, 0.0982145362013855, -0.01970825692692575, -0.16072928841838885, -0.30837416444816185, -0.1678750893433377, -0.19901570582285, 0.018277102303293408, -0.10401560372398609, -0.09592038328670452, 0.3450124399811404, 0.15431287886350223, 0.1464171501966989, 0.011166647947089157, 0.2864381750816264, 0.11475413002375918, 0.03162361568481069, 0.04839018404474435, 0.1804341950825879, 0.19435575892259577, 0.11110488217015138, -0.13712586506606833, 0.06684502451704001, 0.11260639457383086]
709.0994
Molecular dynamics simulations of reflection and adhesion behavior in Lennard-Jones cluster deposition
We conduct molecular dynamics simulations of the collision of atomic clusters with a weakly-attractive surface. We focus on an intermediate regime, between soft-landing and fragmentation, where the cluster undergoes deformation on impact but remains largely intact, and will either adhere to the surface (and possibly slide), or be reflected. We find that the outcome of the collision is determined by the Weber number, We i.e. the ratio of the kinetic energy to the adhesion energy, with a transition between adhesion and reflection occurring as We passes through unity. We also identify two distinct collision regimes: in one regime the collision is largely elastic and deformation of the cluster is relatively small but in the second regime the deformation is large and the adhesion energy starts to depend on the kinetic energy. If the transition between these two regimes occurs at a similar kinetic energy to that of the transition between reflection and adhesion, then we find that the probability of adhesion for a cluster can be bimodal. In addition we investigate the effects of the angle of incidence on adhesion and reflection. Finally we compare our findings both with recent experimental results and with macroscopic theories of particle collisions.
cond-mat.other
we conduct molecular dynamics simulations of the collision of atomic clusters with a weaklyattractive surface we focus on an intermediate regime between softlanding and fragmentation where the cluster undergoes deformation on impact but remains largely intact and will either adhere to the surface and possibly slide or be reflected we find that the outcome of the collision is determined by the weber number we ie the ratio of the kinetic energy to the adhesion energy with a transition between adhesion and reflection occurring as we passes through unity we also identify two distinct collision regimes in one regime the collision is largely elastic and deformation of the cluster is relatively small but in the second regime the deformation is large and the adhesion energy starts to depend on the kinetic energy if the transition between these two regimes occurs at a similar kinetic energy to that of the transition between reflection and adhesion then we find that the probability of adhesion for a cluster can be bimodal in addition we investigate the effects of the angle of incidence on adhesion and reflection finally we compare our findings both with recent experimental results and with macroscopic theories of particle collisions
[['we', 'conduct', 'molecular', 'dynamics', 'simulations', 'of', 'the', 'collision', 'of', 'atomic', 'clusters', 'with', 'a', 'weaklyattractive', 'surface', 'we', 'focus', 'on', 'an', 'intermediate', 'regime', 'between', 'softlanding', 'and', 'fragmentation', 'where', 'the', 'cluster', 'undergoes', 'deformation', 'on', 'impact', 'but', 'remains', 'largely', 'intact', 'and', 'will', 'either', 'adhere', 'to', 'the', 'surface', 'and', 'possibly', 'slide', 'or', 'be', 'reflected', 'we', 'find', 'that', 'the', 'outcome', 'of', 'the', 'collision', 'is', 'determined', 'by', 'the', 'weber', 'number', 'we', 'ie', 'the', 'ratio', 'of', 'the', 'kinetic', 'energy', 'to', 'the', 'adhesion', 'energy', 'with', 'a', 'transition', 'between', 'adhesion', 'and', 'reflection', 'occurring', 'as', 'we', 'passes', 'through', 'unity', 'we', 'also', 'identify', 'two', 'distinct', 'collision', 'regimes', 'in', 'one', 'regime', 'the', 'collision', 'is', 'largely', 'elastic', 'and', 'deformation', 'of', 'the', 'cluster', 'is', 'relatively', 'small', 'but', 'in', 'the', 'second', 'regime', 'the', 'deformation', 'is', 'large', 'and', 'the', 'adhesion', 'energy', 'starts', 'to', 'depend', 'on', 'the', 'kinetic', 'energy', 'if', 'the', 'transition', 'between', 'these', 'two', 'regimes', 'occurs', 'at', 'a', 'similar', 'kinetic', 'energy', 'to', 'that', 'of', 'the', 'transition', 'between', 'reflection', 'and', 'adhesion', 'then', 'we', 'find', 'that', 'the', 'probability', 'of', 'adhesion', 'for', 'a', 'cluster', 'can', 'be', 'bimodal', 'in', 'addition', 'we', 'investigate', 'the', 'effects', 'of', 'the', 'angle', 'of', 'incidence', 'on', 'adhesion', 'and', 'reflection', 'finally', 'we', 'compare', 'our', 'findings', 'both', 'with', 'recent', 'experimental', 'results', 'and', 'with', 'macroscopic', 'theories', 'of', 'particle', 'collisions']]
[-0.1241015558056159, 0.19444034636629354, -0.10423475000352117, 0.021615381084672695, -0.009842307073995471, -0.09452055264545146, 0.05295842102536904, 0.3807774311511885, -0.271490721961006, -0.303306756218212, 0.03854326622141759, -0.27266307093727227, -0.13297761739091246, 0.1623736316585052, 0.004282932229522597, -0.012612805610531987, 0.04165597043547723, 0.028771164576668087, -0.03303424601037121, -0.1858593190098228, 0.3650045183665077, 0.070767348833457, 0.24526382079020367, 0.11890748045734836, 0.09305138622022155, -0.004175524894990806, 0.033632237518594676, 0.05234371654539552, -0.19543888366452258, 0.07896910433294181, 0.18693635448457757, 0.031669962973376015, 0.2370169153671019, -0.4412789229472079, -0.17911317529409526, 0.07482530056948226, 0.13784225226582342, 0.11564389438176499, -0.040879917680870875, -0.21117041689629232, 0.04066353786418486, -0.16032157556256793, -0.10567589192393811, -0.010579407160128257, 0.022526888841360657, 0.07231910329051175, -0.2461542385400989, 0.1228125648777499, 0.0175991780592606, 0.03470735248159523, -0.0851779847438611, -0.05490632741431233, -0.0667892746000209, 0.12219806802611162, 0.07087348625251097, -0.013105510196990178, 0.17791277167841268, -0.15913447012935283, -0.04496261115471397, 0.3968135524967021, -0.01090083248479217, -0.1520888713922939, 0.2811297897656621, -0.18979230252838689, -0.09320406262393123, 0.1537592619816637, 0.15849657446244292, 0.07314929627490478, -0.07576340853690577, 0.035286410128751576, 8.60749447868023e-05, 0.1652616796249889, 0.09361963558488118, -0.01841711062656004, 0.19880434934368085, 0.20125973912601794, 0.024328961298595086, 0.13719915467736793, -0.16485150614238564, -0.09958474332906643, -0.3153150832331997, -0.13476880838692037, -0.16714471418015078, 0.027738885866272166, -0.07373416646734411, -0.14903720834727713, 0.33880270190593137, 0.11541979972404151, 0.25753733208730595, 0.04650873397699272, 0.2443428327722578, 0.12362404932600245, 0.0331363873439256, 0.04059684312382909, 0.30424802804637197, 0.10812270752828212, 0.0718053124830988, -0.26758412212784516, 0.06329700851932299, 0.019541782272006175]
709.0995
Inertial Screening in Sedimentation
We use particle image velocimetry to measure the sedimentation dynamics of a semi-dilute suspension of non-Brownian spheres at Reynolds numbers, $0.001\le Re\le 2.3$, extending from the Stokes to the moderately inertial regime. We find that the onset of inertial corrections to Stokes sedimentation occurs when the inertial screening length $l=a/Re$ becomes similar to the Stokes sedimentation length $\xi_0$, at $Re_c= a/\xi_0\approx 0.05$. For $Re>Re_c$, inertial screening significantly reduces both the magnitude and spatial extent of the particle velocity fluctuations. A modified Hinch force balance model connects the fluctuation magnitudes $\sigma_V/V$ to the correlation sizes $\xi$.
physics.flu-dyn
we use particle image velocimetry to measure the sedimentation dynamics of a semidilute suspension of nonbrownian spheres at reynolds numbers 0001le rele 23 extending from the stokes to the moderately inertial regime we find that the onset of inertial corrections to stokes sedimentation occurs when the inertial screening length lare becomes similar to the stokes sedimentation length xi_0 at re_c axi_0approx 005 for rere_c inertial screening significantly reduces both the magnitude and spatial extent of the particle velocity fluctuations a modified hinch force balance model connects the fluctuation magnitudes sigma_vv to the correlation sizes xi
[['we', 'use', 'particle', 'image', 'velocimetry', 'to', 'measure', 'the', 'sedimentation', 'dynamics', 'of', 'a', 'semidilute', 'suspension', 'of', 'nonbrownian', 'spheres', 'at', 'reynolds', 'numbers', '0001le', 'rele', '23', 'extending', 'from', 'the', 'stokes', 'to', 'the', 'moderately', 'inertial', 'regime', 'we', 'find', 'that', 'the', 'onset', 'of', 'inertial', 'corrections', 'to', 'stokes', 'sedimentation', 'occurs', 'when', 'the', 'inertial', 'screening', 'length', 'lare', 'becomes', 'similar', 'to', 'the', 'stokes', 'sedimentation', 'length', 'xi_0', 'at', 're_c', 'axi_0approx', '005', 'for', 'rere_c', 'inertial', 'screening', 'significantly', 'reduces', 'both', 'the', 'magnitude', 'and', 'spatial', 'extent', 'of', 'the', 'particle', 'velocity', 'fluctuations', 'a', 'modified', 'hinch', 'force', 'balance', 'model', 'connects', 'the', 'fluctuation', 'magnitudes', 'sigma_vv', 'to', 'the', 'correlation', 'sizes', 'xi']]
[-0.1316817236980528, 0.2887897448865383, -0.1035886722397101, 0.046845097225577975, 0.008264043567220816, -0.11532422138922167, -0.05269509532980705, 0.27011185997490134, -0.29748424026707, -0.2765786555200669, -0.0153398392525805, -0.289383967731441, -0.037146836585951234, 0.16153094230031365, -0.032298170134760024, 0.06928807167726139, 0.026698610337262743, -0.007856559625753526, -0.01675407348980269, -0.14349344263004998, 0.2510646249617586, 0.058715954360164954, 0.29536398950168924, 0.03946687706505482, 0.11805091086209993, 0.005971027710841278, -0.026901462921098376, 0.11961486291014746, -0.23718060861026746, -0.020510996914248954, 0.15326666809995187, -0.0583768604922349, 0.2575076485439884, -0.3485616928991977, -0.20475111427727374, 0.07059661801799796, 0.18050628891110085, 0.12279428393067268, 0.016173542784252256, -0.22550637934231357, 0.03815637967350443, -0.13464431068598387, -0.14058475853519492, -0.003662893430884467, 0.1462116799202193, 0.06556314444483331, -0.3267322291379397, 0.2022636772625232, 0.04882812295422963, 0.09452585356958797, -0.07272649440244677, -0.059639308789975184, -0.008310591927572582, 0.11577640859353922, 0.12415560684036045, -0.00997565146221706, 0.2758715810840217, -0.17982577297083113, 0.03501428328153646, 0.4397243352585964, -0.07881975790820597, -0.18555090930884321, 0.2218241294364581, -0.19906341734478314, -0.01651719535355655, 0.21701056660895937, 0.16606461708276962, 0.09861485811285256, -0.04975704085739104, -3.2567578692282186e-07, -0.03843149742676636, 0.24433127457924772, 0.1512021967471483, -0.032087920877161655, 0.18695939748725865, 0.1565509442464982, 0.04863359506001298, 0.09866253175678548, -0.2504789824545216, -0.09736578856343718, -0.2706415264793996, -0.1281405564795217, -0.15456626427181985, 0.04138935829272096, -0.16456735394669442, -0.13809136489636442, 0.3114727021540316, 0.22308999226949167, 0.18615764358572745, 0.12294211533192671, 0.2690755355517181, 0.08419697365744479, 0.07861292380656461, 0.06096317181154416, 0.2911486623473884, 0.1768613466705206, 0.1902270366469126, -0.33138376368691075, -0.017379033006466087, 0.14485493803585178]
709.0996
$\Lambda d$ correlations from the $^4$He(stopped-$K^-$,$d$) reaction
We have observed an intense high-energy component in an inclusive $^4$He(stopped $K^-$, $d$) spectrum. For back-to-back $\Lambda d$ pairs a prominent event cluster has been found just below the $m_{^4\textrm{He}}+m_{K^-}-m_{n}$ mass threshold in the $\Lambda d$ invariant mass spectrum of $\Lambda dn$ events, which is evidence for a three-nucleon absorption process of $K^-$ in $^4$He. In addition, an appreciable strength is revealed below $\sim$3220 MeV/$c^2$. Well separated $\Sigma^0 dn$ events show a peak similar to the case of $\Lambda dn$.
nucl-ex
we have observed an intense highenergy component in an inclusive 4hestopped k d spectrum for backtoback lambda d pairs a prominent event cluster has been found just below the m_4textrmhem_km_n mass threshold in the lambda d invariant mass spectrum of lambda dn events which is evidence for a threenucleon absorption process of k in 4he in addition an appreciable strength is revealed below sim3220 mevc2 well separated sigma0 dn events show a peak similar to the case of lambda dn
[['we', 'have', 'observed', 'an', 'intense', 'highenergy', 'component', 'in', 'an', 'inclusive', '4hestopped', 'k', 'd', 'spectrum', 'for', 'backtoback', 'lambda', 'd', 'pairs', 'a', 'prominent', 'event', 'cluster', 'has', 'been', 'found', 'just', 'below', 'the', 'm_4textrmhem_km_n', 'mass', 'threshold', 'in', 'the', 'lambda', 'd', 'invariant', 'mass', 'spectrum', 'of', 'lambda', 'dn', 'events', 'which', 'is', 'evidence', 'for', 'a', 'threenucleon', 'absorption', 'process', 'of', 'k', 'in', '4he', 'in', 'addition', 'an', 'appreciable', 'strength', 'is', 'revealed', 'below', 'sim3220', 'mevc2', 'well', 'separated', 'sigma0', 'dn', 'events', 'show', 'a', 'peak', 'similar', 'to', 'the', 'case', 'of', 'lambda', 'dn']]
[-0.1682272703362653, 0.1731038755121529, -0.07574075559613766, 0.12238978089658599, 0.028227949297273312, -0.1408279667390728, -0.0018840670198589176, 0.38812416758049617, -0.20871326187020772, -0.2878059252715585, -0.07332112035387522, -0.3891639117780444, -0.00285740222709326, 0.13169508529585097, 0.0784643975921072, 0.026827095088536864, 0.04898548229029039, 0.15598865238006238, -0.0032401290395623677, -0.14983099341005474, 0.28526299930020393, 0.06017048640007323, 0.16302476610456193, 0.10175243367187002, 0.007490082831400169, -0.02882551317792628, 0.012400324589439802, -0.06855728509896375, -0.16956075324447123, -0.020453656863348633, 0.25394474826269336, 0.05298744953334235, 0.1866871340792965, -0.268400952703767, -0.17733326050083986, 0.16434786662265852, 0.21714428099108157, 0.01872451309766318, -0.01082624305136405, -0.27505265951289665, 0.11189844416357674, -0.16303636645293468, -0.16987180689881956, 0.022456590086221695, 0.18773466077717868, -0.06040633598330443, -0.320492548855965, 0.13234063120583048, 0.0692287891462155, 0.08280108508641844, -0.04037503800173471, -0.22461626372699225, -0.054656843621549864, 0.009132830117671908, 0.0557186197812288, 0.0831951596532259, 0.12919380618622164, -0.11470697989517992, -0.10547050503505902, 0.34292787135663355, -0.11082265048299904, -0.027152102101932873, 0.12327366781892715, -0.20105660706153744, -0.1419524700175245, 0.239410293542526, 0.1475722947121634, 0.13595271147878285, -0.12096879036806814, 0.10483003317003513, -0.06443868331345064, 0.2583309014557631, 0.10090793028788327, 0.05178477850972445, 0.17837357637170073, 0.17183533979749138, 0.01730584028757528, 0.07378389064657997, -0.13240633174389987, -0.00045534610361247865, -0.3241566640095084, -0.07875761892888453, -0.1225202280858701, 0.09743909573926313, -0.057538109807321776, -0.08546406983143905, 0.27444341300998804, -0.0053004782874433495, 0.32558429308912973, -0.04273596870585938, 0.23600456645929968, 0.14984041677981422, 0.08364848939508393, 0.05083435796225419, 0.26725965910046906, 0.1685322178890566, 0.08674303938138794, -0.20999535557801846, 0.049613843944117234, -0.029865665436879574]
709.0997
Short-time critical dynamics of the three-dimensional systems with long-range correlated disorder
Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are determined for systems starting separately from ordered and disordered initial states. The obtained values of the exponents are in a good agreement with results of the field-theoretic description of the critical behavior of these models in the two-loop approximation and with our results of Monte Carlo simulations of three-dimensional Ising model in equilibrium state.
cond-mat.dis-nn
monte carlo simulations of the shorttime dynamic behavior are reported for threedimensional ising and xy models with longrange correlated disorder at criticality in the case corresponding to linear defects the static and dynamic critical exponents are determined for systems starting separately from ordered and disordered initial states the obtained values of the exponents are in a good agreement with results of the fieldtheoretic description of the critical behavior of these models in the twoloop approximation and with our results of monte carlo simulations of threedimensional ising model in equilibrium state
[['monte', 'carlo', 'simulations', 'of', 'the', 'shorttime', 'dynamic', 'behavior', 'are', 'reported', 'for', 'threedimensional', 'ising', 'and', 'xy', 'models', 'with', 'longrange', 'correlated', 'disorder', 'at', 'criticality', 'in', 'the', 'case', 'corresponding', 'to', 'linear', 'defects', 'the', 'static', 'and', 'dynamic', 'critical', 'exponents', 'are', 'determined', 'for', 'systems', 'starting', 'separately', 'from', 'ordered', 'and', 'disordered', 'initial', 'states', 'the', 'obtained', 'values', 'of', 'the', 'exponents', 'are', 'in', 'a', 'good', 'agreement', 'with', 'results', 'of', 'the', 'fieldtheoretic', 'description', 'of', 'the', 'critical', 'behavior', 'of', 'these', 'models', 'in', 'the', 'twoloop', 'approximation', 'and', 'with', 'our', 'results', 'of', 'monte', 'carlo', 'simulations', 'of', 'threedimensional', 'ising', 'model', 'in', 'equilibrium', 'state']]
[-0.11697061856587727, 0.19111377926310524, -0.07938053803001013, 0.07717137660624253, 0.06880209896610015, -0.14426476040130687, 0.019283826367205215, 0.36836945473785615, -0.20961919255658157, -0.2800004527386692, 0.05898359096609056, -0.3670793794095516, -0.12611461755198736, 0.18886150773355945, 0.11440454261998335, 0.15240391130032044, 0.04115707214611272, -0.014477272336888645, -0.13940345052008826, -0.2012744119908247, 0.27919151980636847, 0.05349281561664409, 0.2756626462770833, 0.0028523655970477397, 0.029077446724598607, 0.03204049281775952, 0.04559343593815963, 0.07360966288898554, -0.21207235399633645, 0.059045529465786076, 0.23642566535571757, -0.049994478250543276, 0.1560817400390483, -0.4200170565396547, -0.23390977820381523, 0.06640934416403373, 0.13862510006357398, 0.15771038327366113, -0.01942687767247359, -0.30129988001814734, 0.0920564663686188, -0.14171569454224986, -0.16771255471847124, -0.09928849275327391, -0.03956629741523001, 0.07477565820639333, -0.3068956162004421, 0.14801803072914482, 0.014697195147164166, 0.12745997168951564, -0.1070105468776698, -0.11216419536309938, -0.054219073323636416, 0.1565573230980792, 0.028941238978101563, 0.028225896548893716, 0.08723362612331079, -0.19077707955924172, -0.20276664825699603, 0.34785888021190964, -0.0125690213818517, -0.18446972550817817, 0.22994643818173144, -0.18058461409269108, -0.12995915848554837, 0.15490317960114527, 0.1319641144014895, 0.10505462779353063, -0.12481385759181446, 0.09676119897048921, -0.004059157711971137, 0.1277633686756922, -0.09810212474419838, -0.028164136612273676, 0.182328979877962, 0.1685554588213563, -0.038382736572788824, 0.1847617080900818, -0.043135524687467196, -0.27148081303263705, -0.2915415277497636, -0.08860106128785346, -0.22502829532863367, 0.04915491450164053, -0.16450056469831098, -0.22929474957701232, 0.380797714408901, 0.2319378007410301, 0.16400411611215937, 0.09015067618909395, 0.21103341879530085, 0.11241051701233826, -0.028986649556706347, 0.06442577955830428, 0.2281473520341226, 0.12098226751097374, 0.10118813088370694, -0.24513328842973958, 0.0646006274709685, 0.0976058767694566]
709.0998
Teichm\"uller Spaces and Bundles with Negatively Curved Fibers
We study the Teichm\"uller space of negatively curved metrics on a high dimensional manifold, with applications to bundles with negatively curved fibers.
math.DG math.GT
we study the teichmuller space of negatively curved metrics on a high dimensional manifold with applications to bundles with negatively curved fibers
[['we', 'study', 'the', 'teichmuller', 'space', 'of', 'negatively', 'curved', 'metrics', 'on', 'a', 'high', 'dimensional', 'manifold', 'with', 'applications', 'to', 'bundles', 'with', 'negatively', 'curved', 'fibers']]
[-0.1548273270441727, 0.15030327082389372, 0.015076537701216612, 0.020018931478261948, -0.06245543443682519, -0.17187110315585, -0.1141739831390706, 0.5528025308793242, -0.15888694995506245, -0.1950726073912599, 0.09925564012320881, -0.31037616987966676, -0.20898910984396935, 0.19965306034480984, -0.26910765473307535, 0.005966227289966561, 0.1176166082309051, 0.05870442498813976, -0.11228943480686708, -0.294102866710587, 0.5633633908900347, 0.10308239217424257, 0.34575539065355604, 0.1181186645461077, 0.1627904720265757, 0.03048418159596622, 0.023159754547205837, 0.1349835141167701, -0.17979173070158472, 0.27970647071064875, 0.23823176815428518, -0.01349521045234393, 0.1887288857674734, -0.32205688377672975, -0.3057168292051012, 0.16210604988207872, 0.07855051188645037, -0.033574575050310654, -0.026959321488075973, -0.3719955174760385, 0.02655088387175717, 0.009657482701269064, -0.21083046953109177, -0.09544105821458454, -0.020481757819652557, 0.010028993192298169, -0.021878984418104996, -0.049331271004947747, 0.005560883913527836, 0.03045593346045776, -0.11133359389548952, 0.030079433779147537, -0.05300822735510089, 0.06420112073167482, 0.05356102665378289, 0.07088435167150403, 0.19984505463137545, -0.0693049492775489, -0.1844054193405265, 0.38536158068613574, -0.15742621740156953, -0.38639419796791946, 0.1891758811067451, -0.24718069293620912, -0.10486439818685706, 0.1726025894961574, 0.29741450619291177, 0.22548961351540955, 0.058821109546856445, 0.14447053022344003, 0.0011733325240625577, 0.10145866049622948, 0.08400912714106115, -0.03740237754854289, 0.1452500724487684, 0.18499122170562093, 0.11062679473649371, 0.08072618767619133, 0.008088953337970783, -0.08571651770563965, -0.31445360894907604, -0.35913116290149366, -0.015033687930554152, 0.23261829668825323, -0.16501054125414652, -0.30929997174958274, 0.3495527233039452, -0.06548144170136022, 0.2767354805361141, 0.04706952881745317, 0.22887438603422858, -0.04109209204431285, 0.027441615577448498, 0.08085368467833508, 0.13161075352267784, 0.19990440568124707, 0.035644632785327056, -0.06989154270426794, -0.19132597680965607, 0.11021433398127556]
709.0999
Classification of Toric log Del Pezzo Surfaces having Picard Number 1 and Index $\le 3$
Toric log Del Pezzo surfaces with Picard number 1 have been completely classified whenever their index is $\le 2$: In this paper we extend the classification for those having index 3: We prove that, up to isomorphism, there are exactly 18 surfaces of this kind.
math.AG math.CO
toric log del pezzo surfaces with picard number 1 have been completely classified whenever their index is le 2 in this paper we extend the classification for those having index 3 we prove that up to isomorphism there are exactly 18 surfaces of this kind
[['toric', 'log', 'del', 'pezzo', 'surfaces', 'with', 'picard', 'number', '1', 'have', 'been', 'completely', 'classified', 'whenever', 'their', 'index', 'is', 'le', '2', 'in', 'this', 'paper', 'we', 'extend', 'the', 'classification', 'for', 'those', 'having', 'index', '3', 'we', 'prove', 'that', 'up', 'to', 'isomorphism', 'there', 'are', 'exactly', '18', 'surfaces', 'of', 'this', 'kind']]
[-0.1408767994493246, 0.0787524399244123, -0.06143206435048746, 0.08130924046401762, -0.00783904381096363, -0.23294710744586256, -0.019952986407507624, 0.38479235933886635, -0.2619204714273413, -0.39877182944781253, 0.10281030432993753, -0.3309240443011125, -0.14023594027385117, 0.16177808654805023, -0.1891508693392906, -0.0076254439229766525, -0.04520269535068008, 0.02401764504611492, -0.08756028671955897, -0.4324390002836784, 0.4131064392626286, -0.07192903285225233, 0.1682889071551876, 0.049754334551592665, 0.06343429137228264, -0.032870767317298384, 0.031508384174149896, -0.016066371152798336, -0.1735505306428725, 0.09421906018008788, 0.3611283952370286, 0.06892671655449602, 0.15127074006530974, -0.3141532016504142, -0.18345591806703143, 0.24429928625209463, 0.1264424696461194, 0.026779334391984676, -0.024886655171091357, -0.15146262648825845, 0.19369522587447946, -0.16449326409233941, -0.183675495074648, -0.060703346650633545, 0.06171763646933767, 0.02544746343046427, -0.15243714468346703, -0.033078347415559824, 0.08651401901410685, 0.17397201122302147, 0.02019578558134122, -0.14798395068695147, -0.05629416625532839, 0.08736168649047613, -0.002142499413134323, 0.03748231866500444, -0.003704741576479541, -0.06605561169692212, -0.10409333340099289, 0.3065384970770942, -0.015591335493243402, -0.18674383921962645, 0.17776818610727788, -0.13612914952552982, -0.2134545394219458, 0.16689888977756104, 0.0817791754586829, 0.20374243909286127, -0.009146771621372965, 0.1609443036528925, -0.06886553304890791, 0.1518348585193356, 0.17766327248472308, -0.07157156574022439, 0.0942390092338125, 0.09777475148439407, 0.06914087601601043, 0.08192752901878622, -0.0766413542545504, 0.039625824139349994, -0.32494513334499464, -0.2193673427423669, -0.09522399043457376, 0.1872129303092758, -0.08066269087915619, -0.0979298492272695, 0.38574689036856097, 0.052695426696704496, 0.18625279520120885, 0.15393278491165902, 0.17088051951593822, 0.013320339409013589, 0.022091333376657633, 0.151418519175301, 0.2122119265091088, 0.11752212608440055, -0.03896071265141169, -0.04493461506337755, -0.028411933355447318, 0.16250423799372382]
709.1
Measurement of the $K^+\to\pi^+\nu\bar{\nu}$ Branching Ratio
Experiment E949 at Brookhaven National Laboratory studied the rare decay \$K^+\to\pi^+\nu\bar{\nu}$ and other processes with an exposure of $1.77\times 10^{12}$ $K^+$'s. The data were analyzed using a blind analysis technique yielding one candidate event with an estimated background of $0.30\pm0.03$ events. Combining this result with the observation of two candidate events by the predecessor experiment E787 gave the branching ratio ${\calB}(K^+\to\pi^+\nu\bar{\nu})=(1.47^{+1.30}_{-0.89})\times 10^{-10}$, consistent with the Standard Model prediction of $(0.74\pm0.20)\times 10^{-10}$. This is a more detailed report of results previously published in Physical Review Letters.
hep-ex
experiment e949 at brookhaven national laboratory studied the rare decay ktopinubarnu and other processes with an exposure of 177times 1012 ks the data were analyzed using a blind analysis technique yielding one candidate event with an estimated background of 030pm003 events combining this result with the observation of two candidate events by the predecessor experiment e787 gave the branching ratio calbktopinubarnu147130_089times 1010 consistent with the standard model prediction of 074pm020times 1010 this is a more detailed report of results previously published in physical review letters
[['experiment', 'e949', 'at', 'brookhaven', 'national', 'laboratory', 'studied', 'the', 'rare', 'decay', 'ktopinubarnu', 'and', 'other', 'processes', 'with', 'an', 'exposure', 'of', '177times', '1012', 'ks', 'the', 'data', 'were', 'analyzed', 'using', 'a', 'blind', 'analysis', 'technique', 'yielding', 'one', 'candidate', 'event', 'with', 'an', 'estimated', 'background', 'of', '030pm003', 'events', 'combining', 'this', 'result', 'with', 'the', 'observation', 'of', 'two', 'candidate', 'events', 'by', 'the', 'predecessor', 'experiment', 'e787', 'gave', 'the', 'branching', 'ratio', 'calbktopinubarnu147130_089times', '1010', 'consistent', 'with', 'the', 'standard', 'model', 'prediction', 'of', '074pm020times', '1010', 'this', 'is', 'a', 'more', 'detailed', 'report', 'of', 'results', 'previously', 'published', 'in', 'physical', 'review', 'letters']]
[-0.07459166239350452, 0.11367090844760241, -0.07317491292196791, 0.0629383723178762, -0.02833364725811407, -0.11525875448714942, 0.0847704593790695, 0.3067433983553201, -0.12884751236997544, -0.4095269273966551, 0.08689626875711838, -0.34885651846416293, -0.02622531907982193, 0.21774210356816184, 0.020281124929897486, 0.04931740465690382, 0.11922401256160811, 0.02674234308069572, -0.0342471878931974, -0.2372029050398851, 0.2019533848055289, 0.16271889742929488, 0.2721122540009674, -0.023431229044217617, 0.08841128645144636, -0.012972807104233652, -0.14996521780267358, -0.06644486082950607, -0.14704718804568984, 0.05033412055345252, 0.22686937008693348, 0.1503034052075236, 0.18965520970523359, -0.4026740993605927, -0.13248000991297887, 0.054647306987317276, 0.040854331257287414, 0.0358927776262135, -0.10427722223485034, -0.36086931978352366, 0.05361279351345729, -0.17204301442252473, -0.11590947015210987, 0.03643605377583299, 0.036665753345005214, -0.0514243287499994, -0.28102404954843224, 0.11417776792659425, -0.031097128288820386, 0.09583595849107951, -0.036951981321908536, -0.17672459538443946, 0.07677788641885855, 0.040471531567163765, 0.08542227419820847, 0.0829608163345256, 0.13951660140883176, -0.0809100276674144, -0.20735922309104354, 0.3627379182667937, -0.10791984861571109, -0.06321230309549719, 0.21218297397717834, -0.19298899092245847, -0.16678077778196893, 0.1675095749727916, 0.13435266315937042, 0.10510901596862823, -0.2427307825826574, 0.01643444436995196, -0.04826994730392471, 0.17686482712160795, 0.04150377999176271, 0.02182204331329558, 0.18369034727220424, 0.2636419537884649, -0.052202294988092035, 0.0872910045007302, -0.15111184663837776, -0.0365501738328021, -0.30225734862033277, -0.11523904553978355, -0.09189168143639108, 0.0649947941157734, -0.036773257766435564, -0.06994881322607398, 0.3391647452895995, 0.13013105577556416, 0.2494648864696501, 0.01242090700470726, 0.2810124755196739, 0.07674385294667445, 0.05366579605033621, -0.01362904132110998, 0.2917534529638942, 0.09988098097383044, 0.10119343616534024, -0.1508337838400621, 0.08816206342889928, 0.0063229408289771525]
709.1001
Tunable high-energy ion source via oblique laser pulse incidence on a double-layer target
The laser-driven acceleration of high quality proton beams from a double-layer target, comprised of a high-Z ion layer and a thin disk of hydrogen, is investigated with three-dimensional particle-in-cell simulations in the case of oblique incidence of a laser pulse. It is shown that the proton beam energy reaches its maximum at a certain incidence angle of the laser pulse, where it can be much greater than the energy at normal incidence. The proton beam propagates at some angle with respect to the target surface normal, as determined by the proton energy and the incidence angle.
physics.plasm-ph physics.acc-ph
the laserdriven acceleration of high quality proton beams from a doublelayer target comprised of a highz ion layer and a thin disk of hydrogen is investigated with threedimensional particleincell simulations in the case of oblique incidence of a laser pulse it is shown that the proton beam energy reaches its maximum at a certain incidence angle of the laser pulse where it can be much greater than the energy at normal incidence the proton beam propagates at some angle with respect to the target surface normal as determined by the proton energy and the incidence angle
[['the', 'laserdriven', 'acceleration', 'of', 'high', 'quality', 'proton', 'beams', 'from', 'a', 'doublelayer', 'target', 'comprised', 'of', 'a', 'highz', 'ion', 'layer', 'and', 'a', 'thin', 'disk', 'of', 'hydrogen', 'is', 'investigated', 'with', 'threedimensional', 'particleincell', 'simulations', 'in', 'the', 'case', 'of', 'oblique', 'incidence', 'of', 'a', 'laser', 'pulse', 'it', 'is', 'shown', 'that', 'the', 'proton', 'beam', 'energy', 'reaches', 'its', 'maximum', 'at', 'a', 'certain', 'incidence', 'angle', 'of', 'the', 'laser', 'pulse', 'where', 'it', 'can', 'be', 'much', 'greater', 'than', 'the', 'energy', 'at', 'normal', 'incidence', 'the', 'proton', 'beam', 'propagates', 'at', 'some', 'angle', 'with', 'respect', 'to', 'the', 'target', 'surface', 'normal', 'as', 'determined', 'by', 'the', 'proton', 'energy', 'and', 'the', 'incidence', 'angle']]
[-0.07389582554727288, 0.2405653765211658, -0.03193304090139767, 0.05322163480013842, -0.0026484824484214187, -0.12225742077134782, 0.013630440526564295, 0.4665549623314291, -0.258470559764343, -0.29515894630276307, 0.01547456245922755, -0.27193196790661506, 0.031560822625275854, 0.2344193131236049, 0.03768526406687064, 0.04628828353149098, 0.049173379685574524, 0.00475653348742829, -0.08332167158126443, -0.12477581278653815, 0.31491315851841745, 0.17242270801216364, 0.30999707220325945, 0.04049920028774068, 0.14770150213007582, 0.030455610484447487, 0.061079390788412034, 0.006602873482430975, -0.12916914279329225, 0.07875909055777204, 0.21638092871580739, 0.060482535511255264, 0.2091673586789208, -0.42876071967960644, -0.20898519147885963, 0.003022106975549832, 0.08641959147522964, 0.1008861508841316, -0.09089382185144738, -0.18943064810931295, 0.03835046757012606, -0.15320581098058028, -0.22673245378246065, 0.08515261780121364, -0.011513189486019352, 0.09330462922419731, -0.2707290979821361, 0.011622041735487679, -0.0013955699299306918, 0.05695722785700733, -0.012932678181338511, -0.10531279193916514, -0.11643718562845606, -0.01543556649388241, 0.07758201883795361, 0.13129573694216864, 0.17766659306350144, -0.17784627503715456, 0.003253166457094873, 0.3977510198989573, -0.0016486003255522519, -0.1375675149571786, 0.14208620553351162, -0.2755788941237067, 0.04303551575867459, 0.24602499206472808, 0.15748548402431575, 0.14202934771310538, -0.07536655316168132, -0.0009403362843537858, -0.059408910863567144, 0.19899012257963022, 0.2101256331661716, -0.019322363514220342, 0.21309924989085025, 0.21560997710427424, 0.0792572903058802, 0.12227913218900237, -0.20833471215640506, 0.018896413772987824, -0.2768425885975982, -0.12703498788566017, -0.14139239065843867, 0.0712719182871903, -0.07024279210569755, -0.10959552861550037, 0.43277410746668465, 0.04485389613061367, 0.14457189808308613, -0.04352013939933386, 0.32346242198642966, 0.1407093171571129, 0.02876070334362642, 0.043406719070238374, 0.28141807230864896, 0.16747272792902854, 0.0858033819023755, -0.25386610819017125, 0.10128487525798846, -0.027062472732116778]
709.1002
Identification of shallow two-body bound states in finite volume
We discuss signatures of bound-state formation in finite volume via the Luscher finite size method. Assuming that the phase-shift formula in this method inherits all aspects of the quantum scattering theory, we may expect that the bound-state formation induces the sign of the scattering length to be changed. If it were true, this fact provides us a distinctive identification of a shallow bound state even in finite volume through determination of whether the second lowest energy state appears just above the threshold. We also consider the bound-state pole condition in finite volume, based on Luscher's phase-shift formula and then find that the condition is fulfilled only in the infinite volume limit, but its modification by finite size corrections is exponentially suppressed by the spatial lattice size L. These theoretical considerations are also numerically checked through lattice simulations to calculate the positronium spectrum in compact scalar QED, where the short-range interaction between an electron and a positron is realized in the Higgs phase.
hep-lat hep-ph
we discuss signatures of boundstate formation in finite volume via the luscher finite size method assuming that the phaseshift formula in this method inherits all aspects of the quantum scattering theory we may expect that the boundstate formation induces the sign of the scattering length to be changed if it were true this fact provides us a distinctive identification of a shallow bound state even in finite volume through determination of whether the second lowest energy state appears just above the threshold we also consider the boundstate pole condition in finite volume based on luschers phaseshift formula and then find that the condition is fulfilled only in the infinite volume limit but its modification by finite size corrections is exponentially suppressed by the spatial lattice size l these theoretical considerations are also numerically checked through lattice simulations to calculate the positronium spectrum in compact scalar qed where the shortrange interaction between an electron and a positron is realized in the higgs phase
[['we', 'discuss', 'signatures', 'of', 'boundstate', 'formation', 'in', 'finite', 'volume', 'via', 'the', 'luscher', 'finite', 'size', 'method', 'assuming', 'that', 'the', 'phaseshift', 'formula', 'in', 'this', 'method', 'inherits', 'all', 'aspects', 'of', 'the', 'quantum', 'scattering', 'theory', 'we', 'may', 'expect', 'that', 'the', 'boundstate', 'formation', 'induces', 'the', 'sign', 'of', 'the', 'scattering', 'length', 'to', 'be', 'changed', 'if', 'it', 'were', 'true', 'this', 'fact', 'provides', 'us', 'a', 'distinctive', 'identification', 'of', 'a', 'shallow', 'bound', 'state', 'even', 'in', 'finite', 'volume', 'through', 'determination', 'of', 'whether', 'the', 'second', 'lowest', 'energy', 'state', 'appears', 'just', 'above', 'the', 'threshold', 'we', 'also', 'consider', 'the', 'boundstate', 'pole', 'condition', 'in', 'finite', 'volume', 'based', 'on', 'luschers', 'phaseshift', 'formula', 'and', 'then', 'find', 'that', 'the', 'condition', 'is', 'fulfilled', 'only', 'in', 'the', 'infinite', 'volume', 'limit', 'but', 'its', 'modification', 'by', 'finite', 'size', 'corrections', 'is', 'exponentially', 'suppressed', 'by', 'the', 'spatial', 'lattice', 'size', 'l', 'these', 'theoretical', 'considerations', 'are', 'also', 'numerically', 'checked', 'through', 'lattice', 'simulations', 'to', 'calculate', 'the', 'positronium', 'spectrum', 'in', 'compact', 'scalar', 'qed', 'where', 'the', 'shortrange', 'interaction', 'between', 'an', 'electron', 'and', 'a', 'positron', 'is', 'realized', 'in', 'the', 'higgs', 'phase']]
[-0.12927129469599208, 0.20448691632828955, -0.11424974020696993, 0.10969180095564275, -0.04739114488647492, -0.12352576869666393, 0.056178478210054936, 0.32465597427806553, -0.24262114354685224, -0.2433137318800652, 0.05126129887081154, -0.2602972771661977, -0.09132631191477915, 0.15954662055455515, 0.02318885369674751, 0.026366376834001715, 0.04685708225193077, 0.0739016880131798, -0.09029913368709615, -0.23901471070928015, 0.32640683601961046, 0.040258876165162404, 0.27044708528527184, 0.17585545854447523, 0.063626613361577, 0.026485532937559907, 0.005910738266395106, 0.006266883737551347, -0.14597370994580375, 0.05030013816891077, 0.21340001229646638, 0.05952130386499504, 0.19336158463179512, -0.39801948100909085, -0.18627117351876044, 0.10731224466207219, 0.16514335351099294, 0.15837924289632083, -0.03887761359169136, -0.25136230448419, 0.10203826962251585, -0.18669202842715163, -0.19191105227434524, -0.05617915441393119, 0.027877172518429565, -0.03797953855964919, -0.23897081227501693, 0.09845448740906036, 0.033817493799429985, 0.0034066007104644803, -0.05950835493413364, -0.0987518801164158, -0.009913781596014254, 0.06943084482451395, 0.02602459276224383, -0.0048821764505169365, 0.11420712390063721, -0.11166726580510537, -0.07959144960378906, 0.37740047505976243, -0.08273343355279922, -0.2004675398060454, 0.12309016730423648, -0.18660827615171854, -0.08842735832922137, 0.1749341225044595, 0.12050296896263774, 0.08924205976762567, -0.1156600993960222, 0.14931719606946348, -0.04402676554120801, 0.19929282149633415, 0.08739226012861494, 0.0352711597526515, 0.18008518153456626, 0.1343279011399531, 0.048661782334409195, 0.14379514860245113, -0.07435334185397045, -0.121716799021894, -0.3582341084084301, -0.10774537241323506, -0.20396912257247432, 0.05507460878773903, -0.07760766329064844, -0.1955812341062191, 0.3329117684682578, 0.11341245471065818, 0.2090541963669598, 0.02007453292062115, 0.2871527503299193, 0.16722288394251977, 0.07164262187448733, 0.040792880574080315, 0.2512375727284378, 0.15241608514240657, 0.04574275855549875, -0.3134561463097113, 0.022064708294001995, 0.11339014566813906]
709.1003
Weak lensing goes bananas: What flexion really measures
In weak gravitational lensing, the image distortion caused by shear measures the projected tidal gravitational field of the deflecting mass distribution. To lowest order, the shear is proportional to the mean image ellipticity. If the image sizes are not small compared to the scale over which the shear varies, higher-order distortions occur, called flexion. For ordinary weak lensing, the observable quantity is not the shear, but the reduced shear, owing to the mass-sheet degeneracy. Likewise, the flexion itself is unobservable. Rather, higher-order image distortions measure the reduced flexion, i.e., derivatives of the reduced shear. We derive the corresponding lens equation in terms of the reduced flexion and calculate the resulting relation between brightness moments of source and image. Assuming an isotropic distribution of source orientations, estimates for the reduced shear and flexion are obtained; these are then tested with simulations. In particular, the presence of flexion affects the determination of the reduced shear. The results of these simulations yield the amount of bias of the estimators, as a function of the shear and flexion. We point out and quantify a fundamental limitation of the flexion formalism, in terms of the product of reduced flexion and source size. If this product increases above the derived threshold, multiple images of the source are formed locally, and the formalism breaks down. Finally, we show how a general (reduced) flexion field can be decomposed into its four components: two of them are due to a shear field, carrying an E- and B-mode in general. The other two components do not correspond to a shear field; they can also be split up into corresponding E- and B-modes.
astro-ph
in weak gravitational lensing the image distortion caused by shear measures the projected tidal gravitational field of the deflecting mass distribution to lowest order the shear is proportional to the mean image ellipticity if the image sizes are not small compared to the scale over which the shear varies higherorder distortions occur called flexion for ordinary weak lensing the observable quantity is not the shear but the reduced shear owing to the masssheet degeneracy likewise the flexion itself is unobservable rather higherorder image distortions measure the reduced flexion ie derivatives of the reduced shear we derive the corresponding lens equation in terms of the reduced flexion and calculate the resulting relation between brightness moments of source and image assuming an isotropic distribution of source orientations estimates for the reduced shear and flexion are obtained these are then tested with simulations in particular the presence of flexion affects the determination of the reduced shear the results of these simulations yield the amount of bias of the estimators as a function of the shear and flexion we point out and quantify a fundamental limitation of the flexion formalism in terms of the product of reduced flexion and source size if this product increases above the derived threshold multiple images of the source are formed locally and the formalism breaks down finally we show how a general reduced flexion field can be decomposed into its four components two of them are due to a shear field carrying an e and bmode in general the other two components do not correspond to a shear field they can also be split up into corresponding e and bmodes
[['in', 'weak', 'gravitational', 'lensing', 'the', 'image', 'distortion', 'caused', 'by', 'shear', 'measures', 'the', 'projected', 'tidal', 'gravitational', 'field', 'of', 'the', 'deflecting', 'mass', 'distribution', 'to', 'lowest', 'order', 'the', 'shear', 'is', 'proportional', 'to', 'the', 'mean', 'image', 'ellipticity', 'if', 'the', 'image', 'sizes', 'are', 'not', 'small', 'compared', 'to', 'the', 'scale', 'over', 'which', 'the', 'shear', 'varies', 'higherorder', 'distortions', 'occur', 'called', 'flexion', 'for', 'ordinary', 'weak', 'lensing', 'the', 'observable', 'quantity', 'is', 'not', 'the', 'shear', 'but', 'the', 'reduced', 'shear', 'owing', 'to', 'the', 'masssheet', 'degeneracy', 'likewise', 'the', 'flexion', 'itself', 'is', 'unobservable', 'rather', 'higherorder', 'image', 'distortions', 'measure', 'the', 'reduced', 'flexion', 'ie', 'derivatives', 'of', 'the', 'reduced', 'shear', 'we', 'derive', 'the', 'corresponding', 'lens', 'equation', 'in', 'terms', 'of', 'the', 'reduced', 'flexion', 'and', 'calculate', 'the', 'resulting', 'relation', 'between', 'brightness', 'moments', 'of', 'source', 'and', 'image', 'assuming', 'an', 'isotropic', 'distribution', 'of', 'source', 'orientations', 'estimates', 'for', 'the', 'reduced', 'shear', 'and', 'flexion', 'are', 'obtained', 'these', 'are', 'then', 'tested', 'with', 'simulations', 'in', 'particular', 'the', 'presence', 'of', 'flexion', 'affects', 'the', 'determination', 'of', 'the', 'reduced', 'shear', 'the', 'results', 'of', 'these', 'simulations', 'yield', 'the', 'amount', 'of', 'bias', 'of', 'the', 'estimators', 'as', 'a', 'function', 'of', 'the', 'shear', 'and', 'flexion', 'we', 'point', 'out', 'and', 'quantify', 'a', 'fundamental', 'limitation', 'of', 'the', 'flexion', 'formalism', 'in', 'terms', 'of', 'the', 'product', 'of', 'reduced', 'flexion', 'and', 'source', 'size', 'if', 'this', 'product', 'increases', 'above', 'the', 'derived', 'threshold', 'multiple', 'images', 'of', 'the', 'source', 'are', 'formed', 'locally', 'and', 'the', 'formalism', 'breaks', 'down', 'finally', 'we', 'show', 'how', 'a', 'general', 'reduced', 'flexion', 'field', 'can', 'be', 'decomposed', 'into', 'its', 'four', 'components', 'two', 'of', 'them', 'are', 'due', 'to', 'a', 'shear', 'field', 'carrying', 'an', 'e', 'and', 'bmode', 'in', 'general', 'the', 'other', 'two', 'components', 'do', 'not', 'correspond', 'to', 'a', 'shear', 'field', 'they', 'can', 'also', 'be', 'split', 'up', 'into', 'corresponding', 'e', 'and', 'bmodes']]
[-0.1295022582729443, 0.12074606745473455, -0.07689642222248949, 0.07475091776594876, -0.06165115416789537, -0.046945382420637866, -0.04636447626912473, 0.3388016381273594, -0.32815360309306174, -0.2974783917923239, 0.0802439318773823, -0.2565190951093374, -0.0991833601044217, 0.2005970629855737, -0.014297289706626222, 0.010415341953108403, 0.023214645147484534, 0.021903688694103893, -0.1071761799578192, -0.26066052675527956, 0.30260067231874394, 0.06762428522822173, 0.28281333376670614, 0.014849627458555488, 0.10375959006127874, -0.01957686192027348, -0.09341876844358493, 0.09056386825464227, -0.142766926668735, 0.08172709954198902, 0.18325152618105195, 0.09403147140983492, 0.20397259576887283, -0.3708186196300256, -0.17795460897682727, 0.12975046402339907, 0.12566182989993488, 0.1095521465429235, 0.0142682275704026, -0.2795810357450083, 0.0932962189322365, -0.1601978900914272, -0.11201338077765233, -0.05593720027964617, -0.010238551989673664, 0.03193445794407607, -0.2610217847669607, 0.1777348920225931, 0.068125233410255, 0.030627478234531307, -0.08305864208437817, -0.08037494183244075, -0.08893353144230787, 0.14849134500785593, 0.08707669831261121, 0.06447787182782229, 0.18938875926644816, -0.17325933738581678, 0.011283678709707387, 0.4104914455811548, -0.08313887801876477, -0.2274904295336455, 0.1413956926245352, -0.18005201652490274, -0.10092871082205794, 0.15673629154394697, 0.19006592972950517, 0.05937030972734861, -0.12126410931437824, 0.03942354256437016, 0.04012447638931061, 0.17993352294444562, 0.09456061995896402, -0.02153707894638715, 0.25611922304447304, 0.06028072568519479, 0.09820391912639667, 0.1565367906777657, -0.1679912422748791, 0.020497513816414594, -0.31124946067382764, -0.10963569947855778, -0.17527383709624272, 0.031066254967460256, -0.15035360701773137, -0.1881336929920294, 0.3767153859508279, 0.12611408465154988, 0.19109921784847222, 0.07638301686015705, 0.319897921057418, 0.14313953073499708, 0.09519733518476749, 0.017292502517674994, 0.3381633415864438, 0.17566687546316054, 0.02194221420942246, -0.2150699725984048, 0.05857413504546618, 0.02751551485990229]
709.1004
Measurement of focusing properties for high numerical aperture optics using an automated submicron beamprofiler
The focusing properties of three aspheric lenses with numerical aperture (NA) between 0.53 and 0.68 were directly measured using an interferometrically referenced scanning knife-edge beam profiler with sub-micron resolution. The results obtained for two of the three lenses tested were in agreement with paraxial gaussian beam theory. It was also found that the highest NA aspheric lens which was designed for 830nm was not diffraction limited at 633nm. This process was automated using motorized translation stages and provides a direct method for testing the design specifications of high numerical aperture optics.
physics.optics physics.ins-det
the focusing properties of three aspheric lenses with numerical aperture na between 053 and 068 were directly measured using an interferometrically referenced scanning knifeedge beam profiler with submicron resolution the results obtained for two of the three lenses tested were in agreement with paraxial gaussian beam theory it was also found that the highest na aspheric lens which was designed for 830nm was not diffraction limited at 633nm this process was automated using motorized translation stages and provides a direct method for testing the design specifications of high numerical aperture optics
[['the', 'focusing', 'properties', 'of', 'three', 'aspheric', 'lenses', 'with', 'numerical', 'aperture', 'na', 'between', '053', 'and', '068', 'were', 'directly', 'measured', 'using', 'an', 'interferometrically', 'referenced', 'scanning', 'knifeedge', 'beam', 'profiler', 'with', 'submicron', 'resolution', 'the', 'results', 'obtained', 'for', 'two', 'of', 'the', 'three', 'lenses', 'tested', 'were', 'in', 'agreement', 'with', 'paraxial', 'gaussian', 'beam', 'theory', 'it', 'was', 'also', 'found', 'that', 'the', 'highest', 'na', 'aspheric', 'lens', 'which', 'was', 'designed', 'for', '830nm', 'was', 'not', 'diffraction', 'limited', 'at', '633nm', 'this', 'process', 'was', 'automated', 'using', 'motorized', 'translation', 'stages', 'and', 'provides', 'a', 'direct', 'method', 'for', 'testing', 'the', 'design', 'specifications', 'of', 'high', 'numerical', 'aperture', 'optics']]
[-0.04906539084751987, 0.08988180269322281, -0.07377881041934921, -0.006837005761169874, -0.04992250325158239, -0.1871296579639117, -0.037735659004344294, 0.49599198299563596, -0.16517089394231638, -0.37842741809371444, 0.09031860420234605, -0.28667618797885047, -0.08050349601027039, 0.27049228580047685, -0.026510410476475954, 0.14246736683158412, 0.06164940951599015, -0.10535554413476753, -0.0741488712374121, -0.23018137098600466, 0.24390469723536323, 0.12501373460205892, 0.3277760144737032, 0.005708510841294709, 0.15676394468173385, 0.027201568573299383, -0.04658514548920923, 0.044973353715613486, -0.12764205095760797, 0.07868391510306133, 0.23861726076963047, 0.0962844745372422, 0.19313497270147006, -0.3736013530443112, -0.18629653370007873, -0.0310616848026661, 0.12231895006779167, 0.07075620548308102, -0.10929103390210204, -0.2852645855190025, 0.089272942694111, -0.10529375241345001, -0.1497775226003594, -0.012113939867251448, -0.04502062572994166, 0.06773669158703544, -0.2599197967443615, -0.011681074062168288, -0.027656016416019863, 0.16302405095969638, -0.05448573175817728, -0.13333808209022713, 0.014450719088522924, 0.08639910635538399, -0.07247146823113629, 0.03963599196221265, 0.111732846358791, -0.058775856441611214, -0.08826892900073693, 0.3809406131092045, -0.02769921506858534, -0.15064492894129622, 0.15153966223200163, -0.190663695997662, -0.05317223963728692, 0.2046584663240032, 0.10554540427336986, 0.10495452703390684, -0.18471859496914678, -0.022614418131868458, 0.004303470093549954, 0.26532329536146587, 0.18503835879835404, -0.036855785813289306, 0.2166232410300937, 0.2231267937239156, -0.028114134817668755, 0.11061544246687037, -0.22948884641130765, 0.009297336440067739, -0.23259173445274225, -0.1283580331235296, -0.15159060292385726, -0.03783854070206871, -0.06032181079305398, -0.10096890756912115, 0.29970960213492315, 0.0970485143466956, 0.11145487466516595, 0.023471737240389402, 0.3565908726097809, 0.05863528409972787, 0.0859843204729259, -0.05087098407869538, 0.32828445681888196, 0.1354075665430476, 0.14786140055706104, -0.20087960805265337, 0.027107185187439122, -0.012825349231974946]
709.1005
A dynamical system approach to inhomogeneous dust solutions
We examine numerically and qualitatively the Lema\^\i tre--Tolman--Bondi (LTB) inhomogeneous dust solutions as a 3--dimensional dynamical system characterized by six critical points. One of the coordinates of the phase space is an average density parameter, $<\Omega>$, which behaves as the ordinary $\Omega$ in Friedman-Lema\^\i tre--Robertson--Walker (FLRW) dust spacetimes. The other two coordinates, a shear parameter and a density contrast function, convey the effects of inhomogeneity. As long as shell crossing singularities are absent, this phase space is bounded or it can be trivially compactified. This space contains several invariant subspaces which define relevant particular cases, such as: ``parabolic'' evolution, FLRW dust and the Schwarzschild--Kruskal vacuum limit. We examine in detail the phase space evolution of several dust configurations: a low density void formation scenario, high density re--collapsing universes with open, closed and wormhole topologies, a structure formation scenario with a black hole surrounded by an expanding background, and the Schwarzschild--Kruskal vacuum case. Solution curves start expanding from a past attractor (source) in the plane $<\Omega>=1$, associated with self similar regime at an initial singularity. Depending on the initial conditions and specific configurations, the curves approach several saddle points as they evolve between this past attractor and other two possible future attractors: perpetually expanding curves terminate at a line of sinks at $<\Omega>=0$, while collapsing curves reach maximal expansion as $<\Omega>$ diverges and end up in sink that coincides with the past attractor and is also associated with self similar behavior.
gr-qc astro-ph math.DS nlin.SI
we examine numerically and qualitatively the lemai tretolmanbondi ltb inhomogeneous dust solutions as a 3dimensional dynamical system characterized by six critical points one of the coordinates of the phase space is an average density parameter omega which behaves as the ordinary omega in friedmanlemai trerobertsonwalker flrw dust spacetimes the other two coordinates a shear parameter and a density contrast function convey the effects of inhomogeneity as long as shell crossing singularities are absent this phase space is bounded or it can be trivially compactified this space contains several invariant subspaces which define relevant particular cases such as parabolic evolution flrw dust and the schwarzschildkruskal vacuum limit we examine in detail the phase space evolution of several dust configurations a low density void formation scenario high density recollapsing universes with open closed and wormhole topologies a structure formation scenario with a black hole surrounded by an expanding background and the schwarzschildkruskal vacuum case solution curves start expanding from a past attractor source in the plane omega1 associated with self similar regime at an initial singularity depending on the initial conditions and specific configurations the curves approach several saddle points as they evolve between this past attractor and other two possible future attractors perpetually expanding curves terminate at a line of sinks at omega0 while collapsing curves reach maximal expansion as omega diverges and end up in sink that coincides with the past attractor and is also associated with self similar behavior
[['we', 'examine', 'numerically', 'and', 'qualitatively', 'the', 'lemai', 'tretolmanbondi', 'ltb', 'inhomogeneous', 'dust', 'solutions', 'as', 'a', '3dimensional', 'dynamical', 'system', 'characterized', 'by', 'six', 'critical', 'points', 'one', 'of', 'the', 'coordinates', 'of', 'the', 'phase', 'space', 'is', 'an', 'average', 'density', 'parameter', 'omega', 'which', 'behaves', 'as', 'the', 'ordinary', 'omega', 'in', 'friedmanlemai', 'trerobertsonwalker', 'flrw', 'dust', 'spacetimes', 'the', 'other', 'two', 'coordinates', 'a', 'shear', 'parameter', 'and', 'a', 'density', 'contrast', 'function', 'convey', 'the', 'effects', 'of', 'inhomogeneity', 'as', 'long', 'as', 'shell', 'crossing', 'singularities', 'are', 'absent', 'this', 'phase', 'space', 'is', 'bounded', 'or', 'it', 'can', 'be', 'trivially', 'compactified', 'this', 'space', 'contains', 'several', 'invariant', 'subspaces', 'which', 'define', 'relevant', 'particular', 'cases', 'such', 'as', 'parabolic', 'evolution', 'flrw', 'dust', 'and', 'the', 'schwarzschildkruskal', 'vacuum', 'limit', 'we', 'examine', 'in', 'detail', 'the', 'phase', 'space', 'evolution', 'of', 'several', 'dust', 'configurations', 'a', 'low', 'density', 'void', 'formation', 'scenario', 'high', 'density', 'recollapsing', 'universes', 'with', 'open', 'closed', 'and', 'wormhole', 'topologies', 'a', 'structure', 'formation', 'scenario', 'with', 'a', 'black', 'hole', 'surrounded', 'by', 'an', 'expanding', 'background', 'and', 'the', 'schwarzschildkruskal', 'vacuum', 'case', 'solution', 'curves', 'start', 'expanding', 'from', 'a', 'past', 'attractor', 'source', 'in', 'the', 'plane', 'omega1', 'associated', 'with', 'self', 'similar', 'regime', 'at', 'an', 'initial', 'singularity', 'depending', 'on', 'the', 'initial', 'conditions', 'and', 'specific', 'configurations', 'the', 'curves', 'approach', 'several', 'saddle', 'points', 'as', 'they', 'evolve', 'between', 'this', 'past', 'attractor', 'and', 'other', 'two', 'possible', 'future', 'attractors', 'perpetually', 'expanding', 'curves', 'terminate', 'at', 'a', 'line', 'of', 'sinks', 'at', 'omega0', 'while', 'collapsing', 'curves', 'reach', 'maximal', 'expansion', 'as', 'omega', 'diverges', 'and', 'end', 'up', 'in', 'sink', 'that', 'coincides', 'with', 'the', 'past', 'attractor', 'and', 'is', 'also', 'associated', 'with', 'self', 'similar', 'behavior']]
[-0.18381393321628686, 0.13702594213042052, -0.10425165865397402, 0.08379826374069045, -0.04941884578767582, -0.13071425415070548, -0.014014635782272316, 0.33828705886697186, -0.23359406656754608, -0.23882364725619398, 0.13025766403418237, -0.28715477905035774, -0.0879093749843585, 0.1375375802855632, -0.008288646095239788, 0.013666683629170878, 0.004481375953752375, 0.03079357833350038, -0.10203039862253833, -0.23949409212095796, 0.39173858537719847, 0.04165959238361583, 0.2361266080973835, -0.026778348656724904, 0.0960543733561718, -0.07968861979966833, 0.02664452010592768, 0.06263193989252613, -0.17718656964009782, 0.0018739563762701513, 0.20500078126405, 0.0865853666995931, 0.20490254123522292, -0.39670072342681734, -0.27350766615124755, 0.13560047223063712, 0.19655955790931098, 0.10162159656354998, -0.028875560989458003, -0.2676714925863682, 0.01637956518399871, -0.15587592008892046, -0.23981902844229327, -0.014333128016481357, 0.06538496845311442, 0.01231115399285137, -0.20531580904385718, 0.08928886786599856, 0.028110566182933425, 0.011059529731592422, -0.11658847391534644, -0.031347522722804756, -0.08173166842785377, 0.07972011352370528, 0.05298666087547042, 0.08425330008328047, 0.16513156005916213, -0.12094880531643683, -0.0555968631947028, 0.3676708470951404, -0.09753614936450315, -0.18710373595498409, 0.1732137656774576, -0.18986465121257878, -0.09654164931909791, 0.16127291041375275, 0.11125403795271467, 0.1399591180440903, -0.09537706244564989, 0.13454685815428738, 0.0014684195610604207, 0.11344264194178728, 0.14740854611950396, 0.0371737669945109, 0.2894511755088242, 0.1316018605576278, 0.0731422100309479, 0.1391192030865023, -0.049572543053934943, -0.13306045384570672, -0.35853812333495055, -0.1034440839906785, -0.12931554692253108, 0.06941901028592469, -0.16756627457121825, -0.20655661149594917, 0.3341736486188985, 0.059112238396169865, 0.2529103987165511, 0.003365148182070268, 0.25065971576787516, 0.06616393643979548, -0.009942243784422424, 0.13603031544055583, 0.2148219224487118, 0.07447398537946746, 0.11210177228727107, -0.20886847615867798, 0.015192378016245475, 0.053961854347679666]
709.1006
A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei
We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei, which works for both spherical and axially deformed cases. In this approach, the quasiparticle wave functions are expanded in a complete set of analytical Poschl-Teller-Ginocchio and Bessel/Coulomb wave functions. Correct asymptotic properties of the quasiparticle wave functions are endowed in the proposed algorithm. Good agreement is obtained with the results of the Hartree-Fock-Bogoliubov calculation using the box boundary condition for a set of benchmark spherical and deformed nuclei.
nucl-th
we propose a new method to solve the hartreefockbogoliubov equations for weakly bound nuclei which works for both spherical and axially deformed cases in this approach the quasiparticle wave functions are expanded in a complete set of analytical poschltellerginocchio and besselcoulomb wave functions correct asymptotic properties of the quasiparticle wave functions are endowed in the proposed algorithm good agreement is obtained with the results of the hartreefockbogoliubov calculation using the box boundary condition for a set of benchmark spherical and deformed nuclei
[['we', 'propose', 'a', 'new', 'method', 'to', 'solve', 'the', 'hartreefockbogoliubov', 'equations', 'for', 'weakly', 'bound', 'nuclei', 'which', 'works', 'for', 'both', 'spherical', 'and', 'axially', 'deformed', 'cases', 'in', 'this', 'approach', 'the', 'quasiparticle', 'wave', 'functions', 'are', 'expanded', 'in', 'a', 'complete', 'set', 'of', 'analytical', 'poschltellerginocchio', 'and', 'besselcoulomb', 'wave', 'functions', 'correct', 'asymptotic', 'properties', 'of', 'the', 'quasiparticle', 'wave', 'functions', 'are', 'endowed', 'in', 'the', 'proposed', 'algorithm', 'good', 'agreement', 'is', 'obtained', 'with', 'the', 'results', 'of', 'the', 'hartreefockbogoliubov', 'calculation', 'using', 'the', 'box', 'boundary', 'condition', 'for', 'a', 'set', 'of', 'benchmark', 'spherical', 'and', 'deformed', 'nuclei']]
[-0.08558903770754114, 0.07981675925548189, -0.10850579364050646, 0.12105731283081696, -0.03556869421154261, -0.09612874173180899, 0.02746407948434353, 0.34273171215318143, -0.14904012799379415, -0.24642912191920913, 0.01280227269307943, -0.2772040056530386, -0.1233346296590753, 0.1968397749005817, 0.019541478155588266, 0.12996881550643594, 0.0692937552172225, 0.02595319672836922, -0.15440682847984136, -0.1958037763601169, 0.34717030855827036, 0.036781092354794966, 0.27467646887525915, 0.022868395457044242, 0.07762111129122787, 0.032386034820228816, 0.026015465022646823, 0.04001777736573331, -0.15338666356692557, 0.1280065373517573, 0.23812432909326162, 0.08835850139148534, 0.22018116868566723, -0.46667309033218773, -0.20027436706004664, 0.039415463141631336, 0.16126257489668205, 0.1640206921423669, -0.0771230430706055, -0.308325828704983, 0.06243410467868671, -0.2097368141519837, -0.23569602249772287, -0.1215474325348623, 0.0022108150937128813, 0.08635406355606393, -0.31224988647736607, 0.09711770183057525, 0.004003998442203738, -0.01720880769426003, -0.15228996973019093, -0.13660928845056333, 0.006696564180310815, 0.04476580240880139, 0.01813235482404707, 0.059216928004752846, 0.07210436026798561, -0.0966331278468715, -0.04726429027505219, 0.373890529864002, -0.03319730646908283, -0.2795322449179366, 0.12023679503472522, -0.13802560188341886, -0.10569900200935081, 0.15161925071151927, 0.17166885401529725, 0.1892612570663914, -0.14809355925535783, 0.11435306204148218, -0.10557367429519218, 0.10822840468026698, 0.061313343304209414, 0.016242110792427412, 0.13974235210334882, 0.14582132164214273, 0.013094339244707954, 0.1360902767308289, -0.06885879866022152, -0.1275737561052665, -0.3463799815624952, -0.08365967101199204, -0.19687891476787628, -0.043571398306630725, -0.06836039337740658, -0.2209053738741204, 0.402612093440257, 0.05582045176997781, 0.150213063537376, 0.09045207312010461, 0.2619643572717905, 0.13255340276264177, 0.01774937251830124, 0.09641097318963147, 0.24398402289953083, 0.173252598522231, 0.01765703714918345, -0.2377741988224443, -0.04782644101069309, 0.1384877721371595]
709.1007
Reanalysis of the $e^+e^-\to\eta\gamma$ reaction cross section
In the experiment with the SND detector at the VEPP-2M $e^+e^-$ collider measuring the $e^+e^-\to \eta\gamma$ cross section in the energy range $0.6<\sqrt{s}<1.38 \mathrm{GeV}$ the reanalysis of data is performed. The goal is to improve the accuracy of the previous results by analysing ambiguities in the approximation of energy dependence of the $e^+e^-\to \eta\gamma$ cross section, which were not taken into account in our previous study. We report new results on the approximation of the $e^+e^-\to \eta\gamma$ cross section based on Vector Dominance Model under new model parameter assumptions.
hep-ex
in the experiment with the snd detector at the vepp2m ee collider measuring the eeto etagamma cross section in the energy range 06sqrts138 mathrmgev the reanalysis of data is performed the goal is to improve the accuracy of the previous results by analysing ambiguities in the approximation of energy dependence of the eeto etagamma cross section which were not taken into account in our previous study we report new results on the approximation of the eeto etagamma cross section based on vector dominance model under new model parameter assumptions
[['in', 'the', 'experiment', 'with', 'the', 'snd', 'detector', 'at', 'the', 'vepp2m', 'ee', 'collider', 'measuring', 'the', 'eeto', 'etagamma', 'cross', 'section', 'in', 'the', 'energy', 'range', '06sqrts138', 'mathrmgev', 'the', 'reanalysis', 'of', 'data', 'is', 'performed', 'the', 'goal', 'is', 'to', 'improve', 'the', 'accuracy', 'of', 'the', 'previous', 'results', 'by', 'analysing', 'ambiguities', 'in', 'the', 'approximation', 'of', 'energy', 'dependence', 'of', 'the', 'eeto', 'etagamma', 'cross', 'section', 'which', 'were', 'not', 'taken', 'into', 'account', 'in', 'our', 'previous', 'study', 'we', 'report', 'new', 'results', 'on', 'the', 'approximation', 'of', 'the', 'eeto', 'etagamma', 'cross', 'section', 'based', 'on', 'vector', 'dominance', 'model', 'under', 'new', 'model', 'parameter', 'assumptions']]
[-0.05123821474527093, 0.07489902452057735, -0.10379591608017852, 0.070223338132068, -0.022252071797001092, -0.041414424650032415, 0.03481020769951018, 0.325834815940735, -0.15318896266928111, -0.3022209425372156, -0.03598433889617974, -0.3560051331931556, 0.025189034979451786, 0.20850241686672566, 0.0687449162677777, 0.13397312175419013, 0.14348572832320564, 0.016544976726767014, -0.03020289569394663, -0.24599448466588827, 0.3084511262369977, 0.13542246268215505, 0.29309980918399314, 0.1751061668692273, 0.06787582210249225, 0.09834668212781915, -0.07482785445807333, -0.07498270148326727, -0.18750306228387423, 0.06818212148738728, 0.2663564630360766, 0.08514026849826967, 0.12902654021639715, -0.3437824569303881, -0.12295828736387193, 0.12169225110714747, 0.07648543329692488, 0.030719272238043646, -0.0036477500821506096, -0.34772594265682116, 0.11456774737929333, -0.20234087260905653, -0.0566340457391396, -0.020058738448741762, -0.03454771144738929, -0.04042412961081771, -0.2925445599195717, 0.08305555503069297, -0.01578002180692486, 0.03378936427179724, -0.08492653537541628, -0.22287704378620468, -0.00645868400037712, 0.00698307701069015, 0.08703820131433365, 0.05486554176472551, 0.1657815932650754, -0.12608837633690034, -0.16174202288543296, 0.34031143837439065, -0.09607838701181622, -0.17707070052115756, 0.0827999794035515, -0.23507009070387788, -0.14650007787382824, 0.17914010065777058, 0.2695131497880952, 0.0711351579229813, -0.19171573663003405, 0.16526004957797175, 0.0050415470772846175, 0.16184806767143362, 0.0634810316524553, 7.573107723146677e-05, 0.09096264897380024, 0.2537804651920768, -0.0325692801376466, 0.048148057068994436, -0.17121227606019768, -0.07323473527900536, -0.4182891873854466, -0.10947510620198128, -0.05965929353525015, 0.038886975968125626, -0.018527221273292194, -0.04009999650191854, 0.3707936614413153, 0.1319899210198359, 0.3328247917816043, 0.01106613569771236, 0.34939185894009744, 0.1270008584952765, 0.06054702104467486, 0.02794303866126442, 0.35496235856871033, 0.11887745823795823, 0.12969482110135935, -0.21381099689328534, 0.06649196105056697, 0.022188841545192354]
709.1008
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a solution to a stochastic problem. Namely, we construct diffusion processes which allow us to obtain a probabilistic representation of a weak (in distributional sense) solution to the Cauchy problem for the Navier- Stokes system.
math.PR math.AP
we reduce the construction of a weak solution of the cauchy problem for the navierstokes system to the construction of a solution to a stochastic problem namely we construct diffusion processes which allow us to obtain a probabilistic representation of a weak in distributional sense solution to the cauchy problem for the navier stokes system
[['we', 'reduce', 'the', 'construction', 'of', 'a', 'weak', 'solution', 'of', 'the', 'cauchy', 'problem', 'for', 'the', 'navierstokes', 'system', 'to', 'the', 'construction', 'of', 'a', 'solution', 'to', 'a', 'stochastic', 'problem', 'namely', 'we', 'construct', 'diffusion', 'processes', 'which', 'allow', 'us', 'to', 'obtain', 'a', 'probabilistic', 'representation', 'of', 'a', 'weak', 'in', 'distributional', 'sense', 'solution', 'to', 'the', 'cauchy', 'problem', 'for', 'the', 'navier', 'stokes', 'system']]
[-0.1302837496877394, -0.052762627364559604, -0.10393992386419665, 0.070769303931262, -0.12563213895667683, -0.11969803364270112, 0.025089398534460502, 0.22925756106322462, -0.38677873526784506, -0.22367064438506284, 0.16107604082631455, -0.2571745711294087, -0.1270195986906236, 0.17624825438992545, -0.06937667129730636, 0.13797653617168015, 0.11162238520654764, -0.0070292581507766785, -0.07998423606834629, -0.17559088588776914, 0.3723016636276787, -0.01888615619391203, 0.2516248947517438, -0.003375125676393509, 0.2044897903434255, -0.013067266429689797, 0.007149047607725317, 0.0353362481363795, -0.15714227044531567, 0.13644405519801445, 0.24398177062923257, 0.1281081184744835, 0.2972843497991562, -0.41684403109618207, -0.2155971535809592, 0.13613503372127359, 0.12327930061940358, 0.17284274921456183, 0.001558536324988712, -0.30252032667737117, 0.10867680852216753, -0.14713122792203318, -0.1825915129855275, -0.05377165471965616, 0.003589293123646216, 0.011700376292521302, -0.38097112050110643, 0.07171561550348997, 0.11058155928145755, -0.04187674644318494, -0.17080411487682298, -0.007385441800579429, 0.07411396262997931, 0.09624281175942584, 0.06390235837210309, -0.012388858791779388, -0.0027424483898688444, -0.1598581602627581, -0.05591290584892373, 0.3791211171753027, -0.0986250266475095, -0.33185759335756304, 0.1737565816803412, -0.10009785519743508, -0.10529574765400453, 0.1328647178682414, 0.2165900911458514, 0.16353513455357063, -0.18212600072676485, 0.1170232868076048, -0.09127166023985907, 0.15808563852174715, 0.06735331322997809, -0.02650562987070192, 0.11339304705404422, 0.1598073649135503, 0.19233705906028098, 0.17157104706222362, -0.051235124621201646, -0.12015694559297778, -0.3125856642018665, -0.22827944268832323, -0.1283601821146228, 0.10106108005751263, -0.0951749596152116, -0.2853816286660731, 0.36599528060548686, 0.20420531989498572, 0.15853225394067438, 0.11751159908969633, 0.20323062716051937, 0.19778105238960547, -0.03829285841096531, 0.051881962066346946, 0.17306305245940828, 0.17293362660248848, 0.19914925399829042, -0.22332627773284913, 0.02329397345046428, 0.22149235099892725]
709.1009
The H$\alpha$ Luminosity Function and Star Formation Rate at $z \approx 0.24$ in the Cosmos 2 Square-Degree Field
To derive a new H$\alpha$ luminosity function and to understand the clustering properties of star-forming galaxies at $z \approx 0.24$, we have made a narrow-band imaging survey for H$\alpha$ emitting galaxies in the HST COSMOS 2 square degree field. We used the narrow-band filter NB816 ($\lambda_c = 8150$ \AA, $\Delta \lambda = 120$ \AA) and sampled H$\alpha$ emitters with $EW_{\rm obs}(\rm H\alpha + [N\textsc{ii}]) > 12$ \AA in a redshift range between $z=0.233$ and $z=0.251$ corresponding to a depth of 70 Mpc. We obtained 980 H$\alpha$ emitting galaxies in a sky area of 5540 arcmin$^2$, corresponding to a survey volume of $3.1 \times 10^4 {\rm Mpc^3}$. We derive a H$\alpha$ luminosity function with a best-fit Schechter function parameter set of $\alpha = -1.35^{+0.11}_{-0.13}$, $\log\phi_* = -2.65^{+0.27}_{-0.38}$, and $\log L_* ({\rm erg s^{-1}}) = 41.94^{+0.38}_{-0.23}$. The H$\alpha$ luminosity density is $2.7^{+0.7}_{-0.6} \times 10^{39}$ ergs s$^{-1}$ Mpc$^{-3}$. After subtracting the AGN contribution (15 %) to the H$\alpha$ luminosity density, the star formation rate density is evaluated as $1.8^{+0.7}_{-0.4} \times 10^{-2}$ $M_{\sun}$ yr$^{-1}$ Mpc$^{-3}$. The angular two-point correlation function of H$\alpha$ emitting galaxies of $\log L({\rm H\alpha}) > 39.8$ is well fit by a power law form of $w(\theta) = 0.013^{+0.002}_{-0.001} \theta^{-0.88 \pm 0.03}$, corresponding to the correlation function of $\xi(r) = (r/1.9{\rm Mpc})^{-1.88}$. We also find that the H$\alpha$ emitters with higher H$\alpha$ luminosity are more strongly clustered than those with lower luminosity.
astro-ph
to derive a new halpha luminosity function and to understand the clustering properties of starforming galaxies at z approx 024 we have made a narrowband imaging survey for halpha emitting galaxies in the hst cosmos 2 square degree field we used the narrowband filter nb816 lambda_c 8150 aa delta lambda 120 aa and sampled halpha emitters with ew_rm obsrm halpha ntextscii 12 aa in a redshift range between z0233 and z0251 corresponding to a depth of 70 mpc we obtained 980 halpha emitting galaxies in a sky area of 5540 arcmin2 corresponding to a survey volume of 31 times 104 rm mpc3 we derive a halpha luminosity function with a bestfit schechter function parameter set of alpha 135011_013 logphi_ 265027_038 and log l_ rm erg s1 4194038_023 the halpha luminosity density is 2707_06 times 1039 ergs s1 mpc3 after subtracting the agn contribution 15 to the halpha luminosity density the star formation rate density is evaluated as 1807_04 times 102 m_sun yr1 mpc3 the angular twopoint correlation function of halpha emitting galaxies of log lrm halpha 398 is well fit by a power law form of wtheta 00130002_0001 theta088 pm 003 corresponding to the correlation function of xir r19rm mpc188 we also find that the halpha emitters with higher halpha luminosity are more strongly clustered than those with lower luminosity
[['to', 'derive', 'a', 'new', 'halpha', 'luminosity', 'function', 'and', 'to', 'understand', 'the', 'clustering', 'properties', 'of', 'starforming', 'galaxies', 'at', 'z', 'approx', '024', 'we', 'have', 'made', 'a', 'narrowband', 'imaging', 'survey', 'for', 'halpha', 'emitting', 'galaxies', 'in', 'the', 'hst', 'cosmos', '2', 'square', 'degree', 'field', 'we', 'used', 'the', 'narrowband', 'filter', 'nb816', 'lambda_c', '8150', 'aa', 'delta', 'lambda', '120', 'aa', 'and', 'sampled', 'halpha', 'emitters', 'with', 'ew_rm', 'obsrm', 'halpha', 'ntextscii', '12', 'aa', 'in', 'a', 'redshift', 'range', 'between', 'z0233', 'and', 'z0251', 'corresponding', 'to', 'a', 'depth', 'of', '70', 'mpc', 'we', 'obtained', '980', 'halpha', 'emitting', 'galaxies', 'in', 'a', 'sky', 'area', 'of', '5540', 'arcmin2', 'corresponding', 'to', 'a', 'survey', 'volume', 'of', '31', 'times', '104', 'rm', 'mpc3', 'we', 'derive', 'a', 'halpha', 'luminosity', 'function', 'with', 'a', 'bestfit', 'schechter', 'function', 'parameter', 'set', 'of', 'alpha', '135011_013', 'logphi_', '265027_038', 'and', 'log', 'l_', 'rm', 'erg', 's1', '4194038_023', 'the', 'halpha', 'luminosity', 'density', 'is', '2707_06', 'times', '1039', 'ergs', 's1', 'mpc3', 'after', 'subtracting', 'the', 'agn', 'contribution', '15', 'to', 'the', 'halpha', 'luminosity', 'density', 'the', 'star', 'formation', 'rate', 'density', 'is', 'evaluated', 'as', '1807_04', 'times', '102', 'm_sun', 'yr1', 'mpc3', 'the', 'angular', 'twopoint', 'correlation', 'function', 'of', 'halpha', 'emitting', 'galaxies', 'of', 'log', 'lrm', 'halpha', '398', 'is', 'well', 'fit', 'by', 'a', 'power', 'law', 'form', 'of', 'wtheta', '00130002_0001', 'theta088', 'pm', '003', 'corresponding', 'to', 'the', 'correlation', 'function', 'of', 'xir', 'r19rm', 'mpc188', 'we', 'also', 'find', 'that', 'the', 'halpha', 'emitters', 'with', 'higher', 'halpha', 'luminosity', 'are', 'more', 'strongly', 'clustered', 'than', 'those', 'with', 'lower', 'luminosity']]
[-0.02843402504855405, 0.06941246543219765, -0.0010404697872553636, 0.15041419734457254, -0.058911257574913424, -0.07087653230884773, 0.009240083276487444, 0.5229423531914329, -0.048134154538416025, -0.3477715017834624, 0.007310389896551852, -0.35485179085302554, 0.06599264753331403, 0.18984420918317024, 0.041049752934288815, -0.02747789959511403, -0.028581987962452243, -0.14858948697281765, -0.08371236664179466, -0.2971541625696225, 0.19228233734328862, 0.03151363866331363, 0.1741074577552601, -0.027134171181846665, 0.08868100736725361, -0.11771618893700064, -0.07118598685782963, -0.043601751980796744, -0.26118025143119505, 0.0004296584523314592, 0.24403020515879706, 0.16691294887263636, 0.2590657084619681, -0.22777598909129507, -0.11319408890818364, 0.07132988046511139, 0.22763131519385954, -0.09436213618677869, 0.044920682955351864, -0.2781195319845404, 0.06744796402178234, -0.1835006411223095, -0.16041594464670939, 0.18666710835673567, 0.10839564421437951, 0.034565569294924006, -0.28050720320564687, 0.24500547914674792, -0.09931205403141946, 0.12191065835079305, -0.07258985890301614, -0.09173445982261769, -0.09893152948784827, -0.057421091335907, -0.025206616423002363, 0.20683029739330838, 0.23806652869549988, -0.1606932722655966, 0.0452088207408822, 0.3440046741833992, -0.11438719196013657, 0.06442462272989537, 0.1223634755401646, -0.228541050409758, -0.11939386267314475, 0.2211477913276645, 0.1452407021373872, 0.0846668970552502, -0.15950688765411383, 0.01423679990919976, -0.031213127618578706, 0.34286472145739255, 0.017255164160691564, 0.13204355126029801, 0.25634719903164915, 0.038165434227478735, 0.05053216715691412, 0.059954128488367064, -0.3110737790425932, 0.05192237349003282, -0.28924481922001083, -0.08345150572781279, -0.1039552569764585, 0.22651512844451857, -0.20962384750233573, -0.10158848520639596, 0.3232516947742642, 0.09573970997064075, 0.30093226769658765, 0.1697956893267562, 0.24869122151827927, 0.16205958958391103, 0.11733585062050056, 0.1166498859049029, 0.2682936878013651, 0.21601275319134075, 0.07381681141271754, -0.20114269256037975, -0.045087210718741264, 0.034205365148135596]
709.101
On the Correspondence between Poincar\'e Symmetry of Commutative QFT and Twisted Poincar\'e Symmetry of Noncommutative QFT
The space-time symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted Poincar\'e algebra, while that of standard commutative quantum field theories is described by the Poincar\'e algebra. Based on the equivalence of the deformed theory with a commutative field theory, the correspondence between the twisted Poincar\'e symmetry of the deformed theory and the Poincar\'e symmetry of a commutative theory is established. As a by-product, we obtain the conserved charge associated with the twisted Poincar\'e transformation to make the twisted Poincar\'e symmetry evident in the deformed theory. Our result implies that the equivalence between the commutative theory and the deformed theory holds in a deeper level, i.e., it holds not only in correlation functions but also in (different types of) symmetries.
hep-th
the spacetime symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted poincare algebra while that of standard commutative quantum field theories is described by the poincare algebra based on the equivalence of the deformed theory with a commutative field theory the correspondence between the twisted poincare symmetry of the deformed theory and the poincare symmetry of a commutative theory is established as a byproduct we obtain the conserved charge associated with the twisted poincare transformation to make the twisted poincare symmetry evident in the deformed theory our result implies that the equivalence between the commutative theory and the deformed theory holds in a deeper level ie it holds not only in correlation functions but also in different types of symmetries
[['the', 'spacetime', 'symmetry', 'of', 'noncommutative', 'quantum', 'field', 'theories', 'with', 'a', 'deformed', 'quantization', 'is', 'described', 'by', 'the', 'twisted', 'poincare', 'algebra', 'while', 'that', 'of', 'standard', 'commutative', 'quantum', 'field', 'theories', 'is', 'described', 'by', 'the', 'poincare', 'algebra', 'based', 'on', 'the', 'equivalence', 'of', 'the', 'deformed', 'theory', 'with', 'a', 'commutative', 'field', 'theory', 'the', 'correspondence', 'between', 'the', 'twisted', 'poincare', 'symmetry', 'of', 'the', 'deformed', 'theory', 'and', 'the', 'poincare', 'symmetry', 'of', 'a', 'commutative', 'theory', 'is', 'established', 'as', 'a', 'byproduct', 'we', 'obtain', 'the', 'conserved', 'charge', 'associated', 'with', 'the', 'twisted', 'poincare', 'transformation', 'to', 'make', 'the', 'twisted', 'poincare', 'symmetry', 'evident', 'in', 'the', 'deformed', 'theory', 'our', 'result', 'implies', 'that', 'the', 'equivalence', 'between', 'the', 'commutative', 'theory', 'and', 'the', 'deformed', 'theory', 'holds', 'in', 'a', 'deeper', 'level', 'ie', 'it', 'holds', 'not', 'only', 'in', 'correlation', 'functions', 'but', 'also', 'in', 'different', 'types', 'of', 'symmetries']]
[-0.14579296892043203, 0.16044705774309853, -0.12762930961177935, 0.1145439614709984, -0.04848580617487194, -0.1561721913656959, -0.05219044852613782, 0.29407238045204726, -0.307715863225952, -0.23129049863570209, 0.0509780200811783, -0.209712922513958, -0.1714642739721707, 0.12887581137733328, -0.07917850922759888, -0.016992417589155217, -0.032632363058390124, 0.11704030131832474, -0.19098190813591437, -0.21015726225007147, 0.36081341547255835, 0.04447151098718187, 0.3079947544638777, 0.01611888165112644, 0.08197535713025857, 0.0719404003420283, -0.011564582693464463, 0.03449766314218915, -0.10698457220848742, 0.14937363470080384, 0.22786044169749534, 0.039981197480792326, 0.1372434595888037, -0.4493690709184323, -0.16118581020014566, 0.04842963133243814, 0.10346973198835575, 0.059985228864076943, -0.05578905676347425, -0.32119596042921617, 0.0456612750348295, -0.2022886113633239, -0.21273455681604525, -0.07983880202167683, 0.028103380736577074, -0.07327426556869232, -0.21533966233347734, 0.11805734319952738, 0.08982618522667696, 0.12541075892716883, -0.09216358565119287, 0.032628036104142666, -0.11624213003013874, 0.0733682950108593, 0.04946561750682396, 0.04694658539018645, 0.11313549609067627, -0.12189966607247553, -0.15337084725985142, 0.3800518055195137, -0.02664973157354527, -0.24446959959136116, 0.10600175172837066, -0.2012658610289532, -0.20232454630442792, 0.0537729341728938, 0.01894316047666565, 0.1456382224624533, -0.04106602256023695, 0.23763309372508148, -0.12305337699159744, 0.10438094217891968, 0.08914223212807898, 0.025580925061293537, 0.19850681488594366, 0.03716569822207685, 0.03687291522879922, 0.1261563692833223, 0.034167074921285914, -0.18804716264888172, -0.42067696313772884, -0.17086691423762768, -0.12506298296197893, 0.1568601170005249, -0.11689269411103201, -0.1712195988641017, 0.3773259001429237, 0.0795216051388591, 0.12816546105831447, 0.05849185277752224, 0.17467523187339778, 0.15369363039702413, 0.1484779301986453, -0.008953826660881676, 0.2623222779597171, 0.2752729379830675, 0.03356880546613995, -0.1835215600902244, -0.11949613810117755, 0.21328023367280524]
709.1011
Generic features of Einstein-Aether black holes
We reconsider spherically symmetric black hole solutions in Einstein-Aether theory with the condition that this theory has identical PPN parameters as those for general relativity, which is the main difference from the previous research. In contrast with previous study, we allow superluminal propagation of a spin-0 Aether-gravity wave mode. As a result, we obtain black holes having a spin-0 "horizon" inside an event horizon. We allow a singularity at a spin-0 "horizon" since it is concealed by the event horizon. If we allow such a configuration, the kinetic term of the Aether field can be large enough for black holes to be significantly different from Schwarzschild black holes with respect to ADM mass, innermost stable circular orbit, Hawking temperature, and so on. We also discuss whether or not the above features can be seen in more generic vector-tensor theories.
gr-qc hep-ph hep-th
we reconsider spherically symmetric black hole solutions in einsteinaether theory with the condition that this theory has identical ppn parameters as those for general relativity which is the main difference from the previous research in contrast with previous study we allow superluminal propagation of a spin0 aethergravity wave mode as a result we obtain black holes having a spin0 horizon inside an event horizon we allow a singularity at a spin0 horizon since it is concealed by the event horizon if we allow such a configuration the kinetic term of the aether field can be large enough for black holes to be significantly different from schwarzschild black holes with respect to adm mass innermost stable circular orbit hawking temperature and so on we also discuss whether or not the above features can be seen in more generic vectortensor theories
[['we', 'reconsider', 'spherically', 'symmetric', 'black', 'hole', 'solutions', 'in', 'einsteinaether', 'theory', 'with', 'the', 'condition', 'that', 'this', 'theory', 'has', 'identical', 'ppn', 'parameters', 'as', 'those', 'for', 'general', 'relativity', 'which', 'is', 'the', 'main', 'difference', 'from', 'the', 'previous', 'research', 'in', 'contrast', 'with', 'previous', 'study', 'we', 'allow', 'superluminal', 'propagation', 'of', 'a', 'spin0', 'aethergravity', 'wave', 'mode', 'as', 'a', 'result', 'we', 'obtain', 'black', 'holes', 'having', 'a', 'spin0', 'horizon', 'inside', 'an', 'event', 'horizon', 'we', 'allow', 'a', 'singularity', 'at', 'a', 'spin0', 'horizon', 'since', 'it', 'is', 'concealed', 'by', 'the', 'event', 'horizon', 'if', 'we', 'allow', 'such', 'a', 'configuration', 'the', 'kinetic', 'term', 'of', 'the', 'aether', 'field', 'can', 'be', 'large', 'enough', 'for', 'black', 'holes', 'to', 'be', 'significantly', 'different', 'from', 'schwarzschild', 'black', 'holes', 'with', 'respect', 'to', 'adm', 'mass', 'innermost', 'stable', 'circular', 'orbit', 'hawking', 'temperature', 'and', 'so', 'on', 'we', 'also', 'discuss', 'whether', 'or', 'not', 'the', 'above', 'features', 'can', 'be', 'seen', 'in', 'more', 'generic', 'vectortensor', 'theories']]
[-0.13014386063424763, 0.1435393199057401, -0.11001849949251914, 0.13290475554970108, -0.13453375397627984, -0.16611520626811663, -0.03549955283607773, 0.3260238290506253, -0.17072480441530005, -0.2860774137134549, 0.10186181036650838, -0.28881489856175374, -0.08887460097110411, 0.1778643036149847, -0.06072445827590275, 0.027290737570222955, 0.02757614600620624, 0.09454961943581862, -0.0867571972253179, -0.20159116001087712, 0.3760374567827439, 0.0978161192809542, 0.18584810032009863, 0.0013276404820119394, 0.07632362365763148, 0.02442829870024993, 0.0635641543245267, 0.08688888683969127, -0.1572164668302677, 0.01895642914114169, 0.23490203883282948, 0.15806738250767408, 0.20005647844189536, -0.41462578892410884, -0.23981075501069427, 0.10555420820668772, 0.15770792924002677, 0.21206891055571495, -0.07694204080399832, -0.2786343808866281, 0.0872961407210138, -0.26472979775238514, -0.17932476783238782, -0.016908949922662283, 0.03484477324536124, -0.057737370745440865, -0.211893243894008, 0.10435304802524405, 0.0630661705913751, -0.0728613279685648, -0.09771285287064055, -0.019209995536822014, -0.02410609937151489, 0.0529296469108701, 0.16230305622541008, 0.035109672918105905, 0.14939774239462786, -0.0838001157288723, -0.12430058014106707, 0.3614280004850656, -0.08763048933663715, -0.22175726986935604, 0.17815552183858835, -0.2372485038938686, -0.09801659222179349, 0.1216210950591156, 0.15760488973835995, 0.21995297110086118, -0.14230040206398437, 0.13907404053590153, -0.024702578182294255, 0.18409553239294124, 0.13569094810256924, 0.05599308683599372, 0.3954991131373074, 0.09613444159765715, 0.06568117510945792, 0.11716206234869668, -0.05495015032542194, -0.09178946892211241, -0.35016179047491186, -0.15067596582567616, -0.11375521825676264, 0.09118042931178301, -0.134445401107571, -0.1709195850096454, 0.32074775100024283, 0.13119458865738756, 0.16519732186165842, 0.031269791425522955, 0.23601590955131277, 0.09778525750321485, 0.06161934851358334, 0.13076480908616298, 0.3674624835518931, 0.10201565086659369, 0.1212316008142965, -0.18302372879807607, -0.04088224783080859, 0.07482897854356123]
709.1012
Insertion of a magnesium(II)-octacarboranyl(hexylsulfanyl) porphyrazine into liposomes: a physico-chemical study
The synthesis, characterization and liposome insertion of a novel magnesium(II) carboranyl-porphyrazine, i.e. [2,3,7,8,12,13,17,18-octakis- (1,2-dicarba-closo-dodecaboranyl)-hexylthio-5,10,15,20- porphyrazine]magnesium(II) complex, MgHECSPz, is described. MgHECSPz was designed to improve the potentiality in multiple approach anticancer therapy. Liposomal formulations with different surface charge were prepared as delivering agents. The obtained loaded vectors were characterized by DLS, SAXS, SANS and \zeta potential measurements in order to define the overall properties and structural details of loaded liposomes.
cond-mat.soft physics.bio-ph
the synthesis characterization and liposome insertion of a novel magnesiumii carboranylporphyrazine ie 237812131718octakis 12dicarbaclosododecaboranylhexylthio5101520 porphyrazinemagnesiumii complex mghecspz is described mghecspz was designed to improve the potentiality in multiple approach anticancer therapy liposomal formulations with different surface charge were prepared as delivering agents the obtained loaded vectors were characterized by dls saxs sans and zeta potential measurements in order to define the overall properties and structural details of loaded liposomes
[['the', 'synthesis', 'characterization', 'and', 'liposome', 'insertion', 'of', 'a', 'novel', 'magnesiumii', 'carboranylporphyrazine', 'ie', '237812131718octakis', '12dicarbaclosododecaboranylhexylthio5101520', 'porphyrazinemagnesiumii', 'complex', 'mghecspz', 'is', 'described', 'mghecspz', 'was', 'designed', 'to', 'improve', 'the', 'potentiality', 'in', 'multiple', 'approach', 'anticancer', 'therapy', 'liposomal', 'formulations', 'with', 'different', 'surface', 'charge', 'were', 'prepared', 'as', 'delivering', 'agents', 'the', 'obtained', 'loaded', 'vectors', 'were', 'characterized', 'by', 'dls', 'saxs', 'sans', 'and', 'zeta', 'potential', 'measurements', 'in', 'order', 'to', 'define', 'the', 'overall', 'properties', 'and', 'structural', 'details', 'of', 'loaded', 'liposomes']]
[-0.0829057808281974, 0.14977209022148483, -0.05270117257661637, -0.019532588207268067, -0.04964587473941426, -0.17175295511861483, 0.01880495144700211, 0.4113306703586732, -0.22575214517212683, -0.3311322691790279, 0.05924439550031938, -0.2890869575222173, -0.14569778656286578, 0.15824665390555898, -0.0567774387628531, 0.08478264121579067, 0.009252145435781248, -0.049885373600127715, -0.04730991681196516, -0.250909615270493, 0.2389117258435656, 0.07863610768840919, 0.32023211532542784, 0.07053874156648113, 0.09835593655495153, 0.09756394292438222, -0.023575976795156398, 0.05237176667358125, -0.13337680524695786, 0.15723543992686656, 0.29076810772981376, 0.0967229520601611, 0.20176065632051998, -0.4513775120759683, -0.23187411940025707, 0.015481483686955707, 0.10708153482166029, 0.03430478153149447, -0.04016531915253689, -0.2702002769876872, 0.08324158314163439, -0.1240078708637626, -0.1426276205212719, -0.13359154519745178, -0.05595992642995571, 0.08076845314074108, -0.26373001164756715, 0.02028282031777405, -0.007424305718872816, 0.09504416843335475, -0.1695660486546976, -0.16117927990853786, -0.002233272087910483, 0.13983719886070298, -0.019489251182324464, 0.012898077626877854, 0.19920197692549518, -0.11485615615252286, -0.08900755420777827, 0.3407366354499132, -0.011708456191099099, -0.17018526023434055, 0.17395247415369075, -0.10091934121784664, -0.07278450391060041, 0.15917251717990205, 0.16878617033662816, 0.1424393208862673, -0.20688274618418467, -0.0008611809639513658, 0.03137994084447142, 0.19679635573899554, 0.1536559411474774, -0.003232339727542093, 0.18330044104650076, 0.2288622136918768, -0.09122345606972944, 0.18140758082060324, -0.0659163344666482, -0.01593393013782559, -0.13536314881921205, -0.15588110256489487, -0.13933369386265235, 0.0070456778292634316, -0.02015275519360946, -0.15505391151002126, 0.3660361004332381, 0.048119372462913874, 0.14616273387124942, -0.0046610880808364, 0.26512803399612406, 0.04203164824960573, 0.09304931351254063, -0.06364690543212477, 0.19679744717770167, 0.12039285100575897, 0.125238013063227, -0.23857871921462637, 0.13573313986642227, 0.03948351942122944]
709.1013
Empirical processes indexed by estimated functions
We consider the convergence of empirical processes indexed by functions that depend on an estimated parameter $\eta$ and give several alternative conditions under which the ``estimated parameter'' $\eta_n$ can be replaced by its natural limit $\eta_0$ uniformly in some other indexing set $\Theta$. In particular we reconsider some examples treated by Ghoudi and Remillard [Asymptotic Methods in Probability and Statistics (1998) 171--197, Fields Inst. Commun. 44 (2004) 381--406]. We recast their examples in terms of empirical process theory, and provide an alternative general view which should be of wide applicability.
math.ST stat.TH
we consider the convergence of empirical processes indexed by functions that depend on an estimated parameter eta and give several alternative conditions under which the estimated parameter eta_n can be replaced by its natural limit eta_0 uniformly in some other indexing set theta in particular we reconsider some examples treated by ghoudi and remillard asymptotic methods in probability and statistics 1998 171197 fields inst commun 44 2004 381406 we recast their examples in terms of empirical process theory and provide an alternative general view which should be of wide applicability
[['we', 'consider', 'the', 'convergence', 'of', 'empirical', 'processes', 'indexed', 'by', 'functions', 'that', 'depend', 'on', 'an', 'estimated', 'parameter', 'eta', 'and', 'give', 'several', 'alternative', 'conditions', 'under', 'which', 'the', 'estimated', 'parameter', 'eta_n', 'can', 'be', 'replaced', 'by', 'its', 'natural', 'limit', 'eta_0', 'uniformly', 'in', 'some', 'other', 'indexing', 'set', 'theta', 'in', 'particular', 'we', 'reconsider', 'some', 'examples', 'treated', 'by', 'ghoudi', 'and', 'remillard', 'asymptotic', 'methods', 'in', 'probability', 'and', 'statistics', '1998', '171197', 'fields', 'inst', 'commun', '44', '2004', '381406', 'we', 'recast', 'their', 'examples', 'in', 'terms', 'of', 'empirical', 'process', 'theory', 'and', 'provide', 'an', 'alternative', 'general', 'view', 'which', 'should', 'be', 'of', 'wide', 'applicability']]
[-0.059071278857902206, 0.11039899224609447, -0.08576551404107234, 0.0888638875385368, -0.04798694497413248, -0.09459994900864603, 0.07206598016963309, 0.3484169289512538, -0.2483534954445458, -0.2880425247759826, 0.1297476291281824, -0.21442423478282732, -0.1526348535801102, 0.23909966636920113, -0.10353070776374347, 0.03619816080311142, 0.021300579854768926, 0.010405028450648012, -0.05885839744620881, -0.27801978957689444, 0.2798648470204495, 0.058553199058976664, 0.24340113360788032, 0.01830162214190196, 0.08171298043352776, 0.03073169916183099, -0.07379756268948831, 0.026694834212258715, -0.22031565768760963, 0.07888075019950154, 0.23584334980482344, 0.1437889856885819, 0.2667212050097684, -0.39715064815834333, -0.19828836860178017, 0.1183769256599119, 0.13532563027572528, 0.0008358539044642927, 0.0031158208951418257, -0.31843101637887544, 0.06632567082810077, -0.1814350702106717, -0.13561139356387758, -0.1316813888140665, 0.03224911014602958, 0.05113984672245623, -0.3182451062161347, 0.0924457518126944, 0.0894074093017877, 0.09086069853269849, -0.04220832905319958, -0.1711639739324114, 0.037101223173647606, 0.05926701246664442, 0.06274916338145561, 0.015355472044815877, 0.10914666211532278, -0.09308315473126955, -0.1212882177326186, 0.34232261053275786, -0.051398568545821414, -0.25642665694119815, 0.17920632745492562, -0.10089693918567279, -0.14636139512790003, 0.06734352970988243, 0.16427618164258698, 0.1511954045854509, -0.16218105504481956, 0.1690451092803958, -0.04823448746625719, 0.08795636341018581, 0.10354742763200026, 0.03160696774092235, 0.14513662298231375, 0.07249942280341411, 0.014615907303014791, 0.12801728298387158, -0.031288091941661704, -0.11620096834617313, -0.347050163124142, -0.12817372553031783, -0.16910463351028404, 0.07031270700517571, -0.1464223606430326, -0.13069133711015357, 0.3390824576764871, 0.16560934460454288, 0.23301576734145826, 0.040082892801762485, 0.17083793495321412, 0.1815813517209006, -0.04068341100556326, 0.07016526197950387, 0.21703871477451497, 0.12908402702706898, 0.06035941453843281, -0.10599332937606792, 0.05922649962956022, 0.07185692534963975]
709.1014
Critical phenomena and renormalization-group flow of multi-parameter \Phi^4 field theories
In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter $\Phi^4$ field theories with an $N$-component fundamental field, containing up to 4th-order polynomials of the field. Some physically interesting systems require $\Phi^4$ field theories with several quadratic and quartic parameters, depending essentially on their symmetry and symmetry-breaking pattern at the transition. Results for their RG flow apply to disorder and/or frustrated systems, anisotropic magnetic systems, density wave models, competing orderings giving rise to multicritical behaviors. The general properties of the RG flow in multi-parameter $\Phi^4$ field theories are discussed. An overview of field-theoretical results for some physically interesting cases is presented, and compared with other theoretical approaches and experiments. Finally, this RG approach is applied to investigate the nature of the finite-temperature transition of QCD with $N_f$ light quarks.
hep-lat cond-mat.stat-mech hep-th
in the framework of the renormalizationgroup rg approach critical phenomena can be investigated by studying the rg flow of multiparameter phi4 field theories with an ncomponent fundamental field containing up to 4thorder polynomials of the field some physically interesting systems require phi4 field theories with several quadratic and quartic parameters depending essentially on their symmetry and symmetrybreaking pattern at the transition results for their rg flow apply to disorder andor frustrated systems anisotropic magnetic systems density wave models competing orderings giving rise to multicritical behaviors the general properties of the rg flow in multiparameter phi4 field theories are discussed an overview of fieldtheoretical results for some physically interesting cases is presented and compared with other theoretical approaches and experiments finally this rg approach is applied to investigate the nature of the finitetemperature transition of qcd with n_f light quarks
[['in', 'the', 'framework', 'of', 'the', 'renormalizationgroup', 'rg', 'approach', 'critical', 'phenomena', 'can', 'be', 'investigated', 'by', 'studying', 'the', 'rg', 'flow', 'of', 'multiparameter', 'phi4', 'field', 'theories', 'with', 'an', 'ncomponent', 'fundamental', 'field', 'containing', 'up', 'to', '4thorder', 'polynomials', 'of', 'the', 'field', 'some', 'physically', 'interesting', 'systems', 'require', 'phi4', 'field', 'theories', 'with', 'several', 'quadratic', 'and', 'quartic', 'parameters', 'depending', 'essentially', 'on', 'their', 'symmetry', 'and', 'symmetrybreaking', 'pattern', 'at', 'the', 'transition', 'results', 'for', 'their', 'rg', 'flow', 'apply', 'to', 'disorder', 'andor', 'frustrated', 'systems', 'anisotropic', 'magnetic', 'systems', 'density', 'wave', 'models', 'competing', 'orderings', 'giving', 'rise', 'to', 'multicritical', 'behaviors', 'the', 'general', 'properties', 'of', 'the', 'rg', 'flow', 'in', 'multiparameter', 'phi4', 'field', 'theories', 'are', 'discussed', 'an', 'overview', 'of', 'fieldtheoretical', 'results', 'for', 'some', 'physically', 'interesting', 'cases', 'is', 'presented', 'and', 'compared', 'with', 'other', 'theoretical', 'approaches', 'and', 'experiments', 'finally', 'this', 'rg', 'approach', 'is', 'applied', 'to', 'investigate', 'the', 'nature', 'of', 'the', 'finitetemperature', 'transition', 'of', 'qcd', 'with', 'n_f', 'light', 'quarks']]
[-0.17960628243029225, 0.1762177585408497, -0.10020479512662231, 0.05485670194247563, -0.0807584771809416, -0.17959324253736425, -0.020230557049269512, 0.3490550349392801, -0.21502985798237886, -0.2670452977905867, 0.07684347748491752, -0.2838497323205145, -0.179427537926399, 0.19425275833379452, 0.03660935269527995, 0.06730038192953995, -0.03387968256238767, 0.04228835773366175, -0.10897341380632825, -0.24988599837482942, 0.3373928845947166, -0.009954078866691468, 0.24644669748695314, 0.07324692523676446, 0.012513746082005527, -0.01168474955685276, 0.017864616648059526, 0.042052511691220804, -0.1975025995869002, 0.07185243306641313, 0.2423511425031589, -0.007206590537973445, 0.16611398325683616, -0.4067967803478777, -0.2773861971636899, 0.050690971403684226, 0.16043370777302213, 0.14570208147114558, -0.04895023088114966, -0.31431037631127046, 0.02523261611936145, -0.14787170488057363, -0.18463839040131128, -0.15056512269640354, -0.01873219284319433, 0.011142716408043886, -0.28237939666681955, 0.08766527986237713, -0.0020372973078285617, 0.11816998535646595, -0.022051010485202503, -0.08813103074425657, -0.010528944637090396, 0.06161874374575752, 0.14027941342788286, 0.049338883800740294, 0.12322549037585075, -0.21443826279589545, -0.1601722285741096, 0.43537288429818566, -0.039665059691124174, -0.15914557843884494, 0.2159206199345829, -0.10749693077205004, -0.13257697760965004, 0.11930474572439792, 0.15187951498966423, 0.12017374227104856, -0.13771336916633112, 0.12654251161554037, -0.009723268547191672, 0.10907781787431069, -0.017385223094816153, 0.027801028846866926, 0.22607052074946302, 0.1294475911627356, 0.008879368685072006, 0.11668773736803048, 0.026508050965708043, -0.19326589694715662, -0.31748484508904945, -0.08749669835829049, -0.10419871667467004, 0.03848044962315274, -0.16886308720199686, -0.17480441047173503, 0.430570782570959, 0.2087217975749547, 0.15845374224653883, 0.012840917382536711, 0.20732138352803617, 0.13814286419974386, 0.036638503267744676, 0.05160704961636191, 0.2351053873007521, 0.20445578938045225, 0.09014297440051765, -0.2695766558147056, -0.09041493552696737, 0.12197392843261683]
709.1015
Two-dimensional semiconducting nanostructures based on single graphene sheets with lines of adsorbed hydrogen atoms
It is shown that lines of adsorbed hydrogen pair atoms divide the graphene sheet into strips and form hydrogen-based superlattice structures (2HG-SL). We show that the forming of 2HG-SL drastically changes the electronic properties of graphene from semimetal to semiconductor. The electronic spectra of "zigzag" (n,0) 2HG-SL is similar to that of (n,0) carbon nanotubes and have a similar oscillation of band gap with number n, but with non-zero minimal values. The composite dual-periodic (n,0)+(m,0) 2HG-SLs of "zigzag" strips are analyzed, with the conclusion that they may be treated as quasi-two-dimensional heterostructures. We also suggest an experimental way of fabricating hydrogen superlattices.
cond-mat.mtrl-sci
it is shown that lines of adsorbed hydrogen pair atoms divide the graphene sheet into strips and form hydrogenbased superlattice structures 2hgsl we show that the forming of 2hgsl drastically changes the electronic properties of graphene from semimetal to semiconductor the electronic spectra of zigzag n0 2hgsl is similar to that of n0 carbon nanotubes and have a similar oscillation of band gap with number n but with nonzero minimal values the composite dualperiodic n0m0 2hgsls of zigzag strips are analyzed with the conclusion that they may be treated as quasitwodimensional heterostructures we also suggest an experimental way of fabricating hydrogen superlattices
[['it', 'is', 'shown', 'that', 'lines', 'of', 'adsorbed', 'hydrogen', 'pair', 'atoms', 'divide', 'the', 'graphene', 'sheet', 'into', 'strips', 'and', 'form', 'hydrogenbased', 'superlattice', 'structures', '2hgsl', 'we', 'show', 'that', 'the', 'forming', 'of', '2hgsl', 'drastically', 'changes', 'the', 'electronic', 'properties', 'of', 'graphene', 'from', 'semimetal', 'to', 'semiconductor', 'the', 'electronic', 'spectra', 'of', 'zigzag', 'n0', '2hgsl', 'is', 'similar', 'to', 'that', 'of', 'n0', 'carbon', 'nanotubes', 'and', 'have', 'a', 'similar', 'oscillation', 'of', 'band', 'gap', 'with', 'number', 'n', 'but', 'with', 'nonzero', 'minimal', 'values', 'the', 'composite', 'dualperiodic', 'n0m0', '2hgsls', 'of', 'zigzag', 'strips', 'are', 'analyzed', 'with', 'the', 'conclusion', 'that', 'they', 'may', 'be', 'treated', 'as', 'quasitwodimensional', 'heterostructures', 'we', 'also', 'suggest', 'an', 'experimental', 'way', 'of', 'fabricating', 'hydrogen', 'superlattices']]
[-0.162475756264287, 0.17170066559805436, -0.019786436439990396, -0.027152541613281525, 0.014643251866506732, -0.18598788552870504, 0.06975575733807578, 0.46982828584603137, -0.2464527671197147, -0.2857793065333607, -0.030272743034392896, -0.32984228223336465, -0.15043703553436155, 0.15482041007848552, 0.04006673324138227, -0.00176124213215768, 0.061583374831543275, -0.10919271274046465, -0.06170398317338579, -0.22839485387308428, 0.25879353379849535, 0.00290657076608352, 0.2942848287786197, 0.06363142179701516, -0.027949248113660046, -0.05644960369858326, 0.14388617103204432, 0.044271165849152964, -0.1580108098154817, 0.09944739887401793, 0.24017199091237001, -0.11722702067345381, 0.17212988103203702, -0.5076621421659836, -0.17494476332583211, 0.006237120151218742, 0.18622325979304885, 0.1436351503626528, -0.06193961247782966, -0.2609783173773927, 0.10983716749828402, -0.12247969723316003, -0.12596720862061236, -0.04184151063626162, 0.011768720498440242, 0.019879944471999852, -0.17962398060663332, 0.03438162631231755, 0.03745527265151267, 0.04021818605204574, -0.10321189547098722, -0.1788979358030389, -0.15779414574963727, 0.04375875040869972, 0.046193639272729854, -0.00934701668794709, 0.18929069271932045, -0.09656974335313973, -0.07482553429600566, 0.41870437961335133, -0.05151469428844825, -0.10684225008343205, 0.14963375868727313, -0.19003838475680712, -0.09180573306300423, 0.16647648768537124, 0.04118625321566607, 0.047609890350187666, -0.10311031088496399, 0.0745996454944646, -0.0932407182714234, 0.1666152227312477, 0.11338851653566265, 0.100129991268852, 0.27422505677348435, 0.17232790034831116, 0.055147317654424995, 0.12712384257148104, -0.10067197388259111, 0.017695765389656327, -0.19494131341049767, -0.23684931909101029, -0.21043203003478772, 0.08466985911328459, -0.03552206928578365, -0.2709511820931867, 0.3935099709073477, 0.08645691500266431, 0.2006833835533171, -0.05453928433020006, 0.18349894262248218, 0.10126517103006592, 0.09797051404085425, -0.008327682671899145, 0.21052862263068256, 0.16545896608420094, 0.051558709896235455, -0.2077629787334702, 0.03875620578500358, -0.030130394579221804]
709.1016
Charge Form Factor and Cluster Structure of $^6$Li Nucleus
The charge form factor of ${}^6$Li nucleus is considered on the basis of its cluster structure. The charge density of ${}^6$Li is presented as a superposition of two terms. One of them is a folded density and the second one is a sum of ${}^4$He and the deuteron densities. Using the available experimental data for ${}^4$He and deuteron charge form factors, a good agreement of the calculations within the suggested scheme is obtained with the experimental data for the charge form factor of ${}^6$Li, including those in the region of large transferred momenta.
nucl-th
the charge form factor of 6li nucleus is considered on the basis of its cluster structure the charge density of 6li is presented as a superposition of two terms one of them is a folded density and the second one is a sum of 4he and the deuteron densities using the available experimental data for 4he and deuteron charge form factors a good agreement of the calculations within the suggested scheme is obtained with the experimental data for the charge form factor of 6li including those in the region of large transferred momenta
[['the', 'charge', 'form', 'factor', 'of', '6li', 'nucleus', 'is', 'considered', 'on', 'the', 'basis', 'of', 'its', 'cluster', 'structure', 'the', 'charge', 'density', 'of', '6li', 'is', 'presented', 'as', 'a', 'superposition', 'of', 'two', 'terms', 'one', 'of', 'them', 'is', 'a', 'folded', 'density', 'and', 'the', 'second', 'one', 'is', 'a', 'sum', 'of', '4he', 'and', 'the', 'deuteron', 'densities', 'using', 'the', 'available', 'experimental', 'data', 'for', '4he', 'and', 'deuteron', 'charge', 'form', 'factors', 'a', 'good', 'agreement', 'of', 'the', 'calculations', 'within', 'the', 'suggested', 'scheme', 'is', 'obtained', 'with', 'the', 'experimental', 'data', 'for', 'the', 'charge', 'form', 'factor', 'of', '6li', 'including', 'those', 'in', 'the', 'region', 'of', 'large', 'transferred', 'momenta']]
[-0.09958474648996227, 0.14158118235808548, -0.06340604365593003, 0.04769563375626721, 0.04821344892123854, -0.04810197237298213, 0.06542018599688046, 0.30037855446058254, -0.1904131459693114, -0.27317680919202425, 0.002016011228714819, -0.31541436171579745, -0.01761240327870974, 0.17801814250678064, 0.07434510517713955, 0.05492483836445977, 0.0602774170192299, 0.08689461671997623, -0.09418190733319329, -0.20076814598168538, 0.35830381238252246, 0.07993604602312208, 0.27818234202011377, 0.08666785276297452, 0.08603832236571257, -0.012337578941256769, -1.7427849353000683e-05, -0.012507321122753363, -0.10745900426240217, 0.1621550120167955, 0.24389316784268025, 0.059119636608508004, 0.17581575325319684, -0.4306701952391254, -0.1752454599826246, 0.048477228971258286, 0.10803665283576695, 0.14503389512318918, -0.05691828118682268, -0.2412702358648261, 0.018999220162469854, -0.2371784229111928, -0.16378151476182926, -0.0939884545802269, 0.03475771577007348, 0.051152039754895434, -0.2942335207587338, 0.1208780334501337, -0.013816197646246042, 0.006177349273232438, -0.11745715058303528, -0.22876606336844865, -0.016712689271537205, 0.10830908771904726, 0.041256395526610874, 0.0809285924269227, 0.17047405745133118, -0.14843464777454413, -0.04407984200584632, 0.41531485551467506, -0.03067279237532808, -0.16284946051816787, 0.10624428025336675, -0.17929820631260193, -0.07242204835738546, 0.1560955635742635, 0.08299626716442647, 0.08886490482586606, -0.12826984382787798, 0.06293873783133383, -0.08221799088892356, 0.19414444293786762, 0.08414504306781437, 0.04376641886679002, 0.16411589662874898, 0.21719566963973544, -0.018304014638546976, 0.09335795471504811, -0.15441624268480095, -0.08746545814899026, -0.3124751553980894, -0.14359129140133498, -0.22172801254657648, 0.008361534305637883, -0.07317905586606557, -0.11375761068155689, 0.37388508741990933, -0.0066938431763280465, 0.2620688029464775, -0.0457977820588376, 0.3168393774058229, 0.12049217986679005, 0.09483126969006593, 0.04801869022870256, 0.2515777127481797, 0.19389403657487003, 0.04224483102499958, -0.24327883611574658, 0.051620627983763656, 0.03393061255024726]
709.1017
A multibeam atom laser: coherent atom beam splitting from a single far detuned laser
We report the experimental realisation of a multibeam atom laser. A single continuous atom laser is outcoupled from a Bose-Einstein condensate (BEC) via an optical Raman transition. The atom laser is subsequently split into up to five atomic beams with slightly different momenta, resulting in multiple, nearly co-propagating, coherent beams which could be of use in interferometric experiments. The splitting process itself is a novel realization of Bragg diffraction, driven by each of the optical Raman laser beams independently. This presents a significantly simpler implementation of an atomic beam splitter, one of the main elements of coherent atom optics.
cond-mat.other
we report the experimental realisation of a multibeam atom laser a single continuous atom laser is outcoupled from a boseeinstein condensate bec via an optical raman transition the atom laser is subsequently split into up to five atomic beams with slightly different momenta resulting in multiple nearly copropagating coherent beams which could be of use in interferometric experiments the splitting process itself is a novel realization of bragg diffraction driven by each of the optical raman laser beams independently this presents a significantly simpler implementation of an atomic beam splitter one of the main elements of coherent atom optics
[['we', 'report', 'the', 'experimental', 'realisation', 'of', 'a', 'multibeam', 'atom', 'laser', 'a', 'single', 'continuous', 'atom', 'laser', 'is', 'outcoupled', 'from', 'a', 'boseeinstein', 'condensate', 'bec', 'via', 'an', 'optical', 'raman', 'transition', 'the', 'atom', 'laser', 'is', 'subsequently', 'split', 'into', 'up', 'to', 'five', 'atomic', 'beams', 'with', 'slightly', 'different', 'momenta', 'resulting', 'in', 'multiple', 'nearly', 'copropagating', 'coherent', 'beams', 'which', 'could', 'be', 'of', 'use', 'in', 'interferometric', 'experiments', 'the', 'splitting', 'process', 'itself', 'is', 'a', 'novel', 'realization', 'of', 'bragg', 'diffraction', 'driven', 'by', 'each', 'of', 'the', 'optical', 'raman', 'laser', 'beams', 'independently', 'this', 'presents', 'a', 'significantly', 'simpler', 'implementation', 'of', 'an', 'atomic', 'beam', 'splitter', 'one', 'of', 'the', 'main', 'elements', 'of', 'coherent', 'atom', 'optics']]
[-0.13936440760006358, 0.2676539101071698, -0.09811127398896849, -0.07285815894516932, -0.00926681575036109, -0.18505054566952767, 0.05948556008080792, 0.4800486888623599, -0.2685975787239243, -0.21673774110586053, -0.03379144640686461, -0.2637881116019656, -0.027081776833669705, 0.24323515771333165, 0.020693420394878797, 0.07264304662010435, 0.06295272680540391, -0.08256564772866591, -0.01790415849113329, -0.16717872401403094, 0.3109073104034648, 0.0948741872409227, 0.32322862559948307, -0.015405966923807305, 0.14875008312825377, 0.05395992918203425, 0.058309817329199626, -0.09868139662130763, -0.05615609301950293, 0.11892331803142271, 0.23785525159157736, 0.025052509859299542, 0.2421025396207103, -0.46092668945214366, -0.18434157151954644, 0.01723081223676075, 0.1608268319531532, 0.22790074022369214, -0.10173385124653578, -0.3231264352798462, -0.08566853165099717, -0.1491339627107737, -0.13647152769915533, -0.04153796288918591, -0.04871483805184864, 0.07045667811833096, -0.27681610441644383, -0.05905069111884017, 0.024439659472931214, 0.06969451292822457, -0.03705221521809245, -0.03663504563008595, 0.01783645338839804, -0.03629292237732296, -0.09786111853030191, 0.06033445185407846, 0.17272662956530999, -0.09429589067021328, -0.12889502372950165, 0.42735064204434176, -0.09209082104416207, -0.07177663850715628, 0.13231831319592516, -0.16931241912052336, -0.018237344248013362, 0.21073029279671232, 0.11534391885454004, 0.10993695883738874, -0.12517438478052917, -0.038392575495321345, -0.07016283450142546, 0.2500873979432697, 0.21082309696287144, 0.10528690229649797, 0.25900375152846344, 0.2070053066479776, 0.06335935532585765, 0.21326764448983312, -0.14631758810895862, -0.05046975083950192, -0.2615156733352136, -0.1313537472525066, -0.190032677127594, 0.04849833475585764, -0.010974445590170833, -0.09433797697978791, 0.39064864879191824, 0.0801804323276185, 0.160550112901914, -0.13081753468305587, 0.4011068840304183, 0.15667582651826018, 0.03873896355166881, -0.09057456218741006, 0.27516268821188594, 0.1655443792885188, 0.094313164321574, -0.2633795492101762, -0.07270172753987476, -0.0034559844626170216]
709.1018
Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering
We investigate boundary multifractality of critical wave functions at the Anderson metal-insulator transition in two-dimensional disordered non-interacting electron systems with spin-orbit scattering. We show numerically that multifractal exponents at a corner with an opening angle \theta=3\pi/2 are directly related to those near a straight boundary in the way dictated by conformal symmetry. This result extends our previous numerical results on corner multifractality obtained for \theta < \pi to \theta > \pi, and gives further supporting evidence for conformal invariance at criticality. We also propose a refinement of the validity of the symmetry relation of A. D. Mirlin et al., Phys. Rev. Lett. \textbf{97} (2006) 046803, for corners.
cond-mat.dis-nn cond-mat.mes-hall
we investigate boundary multifractality of critical wave functions at the anderson metalinsulator transition in twodimensional disordered noninteracting electron systems with spinorbit scattering we show numerically that multifractal exponents at a corner with an opening angle theta3pi2 are directly related to those near a straight boundary in the way dictated by conformal symmetry this result extends our previous numerical results on corner multifractality obtained for theta pi to theta pi and gives further supporting evidence for conformal invariance at criticality we also propose a refinement of the validity of the symmetry relation of a d mirlin et al phys rev lett textbf97 2006 046803 for corners
[['we', 'investigate', 'boundary', 'multifractality', 'of', 'critical', 'wave', 'functions', 'at', 'the', 'anderson', 'metalinsulator', 'transition', 'in', 'twodimensional', 'disordered', 'noninteracting', 'electron', 'systems', 'with', 'spinorbit', 'scattering', 'we', 'show', 'numerically', 'that', 'multifractal', 'exponents', 'at', 'a', 'corner', 'with', 'an', 'opening', 'angle', 'theta3pi2', 'are', 'directly', 'related', 'to', 'those', 'near', 'a', 'straight', 'boundary', 'in', 'the', 'way', 'dictated', 'by', 'conformal', 'symmetry', 'this', 'result', 'extends', 'our', 'previous', 'numerical', 'results', 'on', 'corner', 'multifractality', 'obtained', 'for', 'theta', 'pi', 'to', 'theta', 'pi', 'and', 'gives', 'further', 'supporting', 'evidence', 'for', 'conformal', 'invariance', 'at', 'criticality', 'we', 'also', 'propose', 'a', 'refinement', 'of', 'the', 'validity', 'of', 'the', 'symmetry', 'relation', 'of', 'a', 'd', 'mirlin', 'et', 'al', 'phys', 'rev', 'lett', 'textbf97', '2006', '046803', 'for', 'corners']]
[-0.16213877062210275, 0.13355729825777346, -0.07049653319588217, -0.01382371752025882, -0.05642929347231984, -0.14606078722191831, 0.0750258476831592, 0.33766025891908125, -0.2012478603879012, -0.23364418908917847, -0.01447323902707117, -0.322228016918346, -0.21506351116113365, 0.17081394001769906, -0.022599306781418048, 0.12064700529579288, -0.0418646793136409, -0.07549893793475349, -0.13896910504823048, -0.19586792382268378, 0.28113176704097825, 0.055093000683252916, 0.288207905255079, 0.11014097375356449, -0.014052498248369934, 0.0505678004029995, 0.051243048725434795, -0.011772395622056838, -0.23631649768203017, 0.030095677286086496, 0.22166926086916086, -0.048072969827514425, 0.18232227955762098, -0.37309315628730333, -0.2076578191929282, -0.010546315459158415, 0.1209101640807393, 0.10402585681563672, -0.0068504491881377855, -0.380066136095243, 0.0630664352815634, -0.13752420587787548, -0.22661400962477693, -0.08172633843227792, 0.06732443385016477, -0.0611114746212619, -0.30044349058656594, 0.15771546197552547, 0.06562649531854102, 0.10885419568064837, 0.004075611211681882, -0.049785247820322044, -0.03631072698940093, 0.021507564296301167, 0.028362121764355555, 0.08303125314593601, 0.07472604272054294, -0.06644637127800916, -0.14626968697792528, 0.32628261676738757, -0.002840755184969077, -0.16350103469449095, 0.22004670150972044, -0.1987210808438249, -0.15334712335607037, 0.13743929678233913, 0.11418012682742511, 0.07937749462990513, -0.08128016099978524, 0.136618716686476, -0.1144825712207631, 0.1048259998676188, 0.11570447435727917, -0.028530250128824264, 0.19817836142073458, 0.10896525065002677, 0.03285058759726011, 0.14764676076727204, -0.08335686016989012, -0.09221254099359683, -0.3481256002470708, -0.1543197548106456, -0.2292111167200626, 0.09524492958441372, -0.061628485026701055, -0.14517809673830365, 0.3921652284558289, 0.1711668060012856, 0.24162918524458432, 0.06256778968739897, 0.15120777817747483, 0.1285215763872167, 0.004475829451201627, 0.13202263448441115, 0.23826150970909601, 0.12724756648486407, 0.1218971582778837, -0.2559255135890383, -0.017747832614427004, 0.129638116067956]
709.1019
Realistic Neutrinogenesis with Radiative Vertex Correction
We propose a new model for naturally light Dirac neutrinos and explain the baryon asymmetry of the universe through neutrinogenesis. We extend the standard model with a real singlet scalar, a heavy singlet Dirac fermion and a heavy doublet scalar besides three right-handed neutrinos, respecting lepton number conservation and a Z_2 symmetry. The neutrinos acquire small Dirac masses due to the suppression of the weak scale over the heavy mass scale. As a key feature of our construction, once the heavy Dirac fermion and doublet scalar go out of equilibrium, their decays induce the CP asymmetry from the interference of tree-level processes with the \textit{radiative vertex corrections} (rather than the self-energy corrections). Although there is no lepton number violation, an equal and opposite amount of CP asymmetry is generated in the left-handed and the right-handed neutrinos. The left-handed lepton asymmetry would then be converted to the baryon asymmetry in the presence of the sphalerons, while the right-handed lepton asymmetry remains unaffected.
hep-ph
we propose a new model for naturally light dirac neutrinos and explain the baryon asymmetry of the universe through neutrinogenesis we extend the standard model with a real singlet scalar a heavy singlet dirac fermion and a heavy doublet scalar besides three righthanded neutrinos respecting lepton number conservation and a z_2 symmetry the neutrinos acquire small dirac masses due to the suppression of the weak scale over the heavy mass scale as a key feature of our construction once the heavy dirac fermion and doublet scalar go out of equilibrium their decays induce the cp asymmetry from the interference of treelevel processes with the textitradiative vertex corrections rather than the selfenergy corrections although there is no lepton number violation an equal and opposite amount of cp asymmetry is generated in the lefthanded and the righthanded neutrinos the lefthanded lepton asymmetry would then be converted to the baryon asymmetry in the presence of the sphalerons while the righthanded lepton asymmetry remains unaffected
[['we', 'propose', 'a', 'new', 'model', 'for', 'naturally', 'light', 'dirac', 'neutrinos', 'and', 'explain', 'the', 'baryon', 'asymmetry', 'of', 'the', 'universe', 'through', 'neutrinogenesis', 'we', 'extend', 'the', 'standard', 'model', 'with', 'a', 'real', 'singlet', 'scalar', 'a', 'heavy', 'singlet', 'dirac', 'fermion', 'and', 'a', 'heavy', 'doublet', 'scalar', 'besides', 'three', 'righthanded', 'neutrinos', 'respecting', 'lepton', 'number', 'conservation', 'and', 'a', 'z_2', 'symmetry', 'the', 'neutrinos', 'acquire', 'small', 'dirac', 'masses', 'due', 'to', 'the', 'suppression', 'of', 'the', 'weak', 'scale', 'over', 'the', 'heavy', 'mass', 'scale', 'as', 'a', 'key', 'feature', 'of', 'our', 'construction', 'once', 'the', 'heavy', 'dirac', 'fermion', 'and', 'doublet', 'scalar', 'go', 'out', 'of', 'equilibrium', 'their', 'decays', 'induce', 'the', 'cp', 'asymmetry', 'from', 'the', 'interference', 'of', 'treelevel', 'processes', 'with', 'the', 'textitradiative', 'vertex', 'corrections', 'rather', 'than', 'the', 'selfenergy', 'corrections', 'although', 'there', 'is', 'no', 'lepton', 'number', 'violation', 'an', 'equal', 'and', 'opposite', 'amount', 'of', 'cp', 'asymmetry', 'is', 'generated', 'in', 'the', 'lefthanded', 'and', 'the', 'righthanded', 'neutrinos', 'the', 'lefthanded', 'lepton', 'asymmetry', 'would', 'then', 'be', 'converted', 'to', 'the', 'baryon', 'asymmetry', 'in', 'the', 'presence', 'of', 'the', 'sphalerons', 'while', 'the', 'righthanded', 'lepton', 'asymmetry', 'remains', 'unaffected']]
[-0.13726349184641018, 0.3408027592873085, -0.01303222248295568, 0.18602571004866944, -0.10336248229884501, -0.19059873861114277, 0.05410729769292235, 0.24614196186504508, -0.2239116598682115, -0.30295835130806986, -0.04469668153386399, -0.33031595885495907, 0.004574307709135725, 0.03736188578999267, 0.0911441887230993, -0.0047733635296049355, -0.006498806043850176, -0.00712174829095602, -0.07242082983384249, -0.22447141555998967, 0.32328529774545217, -0.005245476663874099, 0.23896643659685673, 0.10187368318379957, 0.06527824154849979, -0.04087468254549792, -0.025920222665669408, -0.09295032677422248, 0.014602177922830641, 0.025988852976434777, 0.09726016345556895, 0.04540931201780086, 0.09900154015810797, -0.39650304191423663, -0.14139422702104434, 0.23392394303238756, 0.18564549840125694, 0.13397785007760352, -0.15705819869027385, -0.3232587780803442, 0.08376630549992686, -0.19366979285336608, -0.14856216748707793, -0.05766334613996013, -0.07494475669081106, -0.14695378138761347, -0.3587097122199224, 0.12464872827319978, -0.05166109759688565, -0.014939580024835074, 0.04136640539556836, -0.17966554939758572, -0.12674506754122394, 0.017301048954609054, 0.22810002841178398, -0.040832139960191444, 0.1176454844341303, -0.1828800929979708, -0.11939581615905974, 0.4760748819102469, -0.10853746154028175, -0.18933270139467417, 0.07726744265272135, -0.18001141487298616, -0.11163940219466323, 0.13986024162556343, 0.14904685932615735, 0.07415735913710024, -0.15824706227747057, 0.15768824158743047, -0.11837017863590575, 0.12890839622555147, 0.06632061935404795, 0.0801141593018078, 0.3307706294317712, 0.15287102406416908, 0.08541538608963338, 0.006407651214848665, -0.07555440550599739, -0.06611277141356431, -0.4222885806980373, -0.16129156698069372, -0.11964327028407803, 0.08249486766822575, -0.08315727616892396, -0.11732112593676473, 0.49682291832301506, 0.1289610816810116, 0.2306611977727006, -0.01543423221827303, 0.3245482998343665, 0.08798707673712722, 0.12826410559029464, 0.036240787620205175, 0.28918673326524924, 0.19454492758022351, 0.16368764621694717, -0.31286788841492774, -0.0058997898514868705, 0.04266674976221889]
709.102
Evolution Strategies in Optimization Problems
Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissible functions, aiming to optimize some given objective function. We show that simple evolution strategies are a useful tool in optimal control, permitting to obtain, in an efficient way, good approximations to the solutions of some recent and challenging optimal control problems.
math.OC
evolution strategies are inspired in biology and part of a larger research field known as evolutionary algorithms those strategies perform a random search in the space of admissible functions aiming to optimize some given objective function we show that simple evolution strategies are a useful tool in optimal control permitting to obtain in an efficient way good approximations to the solutions of some recent and challenging optimal control problems
[['evolution', 'strategies', 'are', 'inspired', 'in', 'biology', 'and', 'part', 'of', 'a', 'larger', 'research', 'field', 'known', 'as', 'evolutionary', 'algorithms', 'those', 'strategies', 'perform', 'a', 'random', 'search', 'in', 'the', 'space', 'of', 'admissible', 'functions', 'aiming', 'to', 'optimize', 'some', 'given', 'objective', 'function', 'we', 'show', 'that', 'simple', 'evolution', 'strategies', 'are', 'a', 'useful', 'tool', 'in', 'optimal', 'control', 'permitting', 'to', 'obtain', 'in', 'an', 'efficient', 'way', 'good', 'approximations', 'to', 'the', 'solutions', 'of', 'some', 'recent', 'and', 'challenging', 'optimal', 'control', 'problems']]
[-0.08611643704437259, 0.02715994462314352, -0.11398018448465112, 0.1304920703658591, -0.12376729204602864, -0.14200345670426454, 0.05768673329789569, 0.427824005484581, -0.2822480471129867, -0.32578445711861487, 0.1280457113424073, -0.18429283380670392, -0.21815106683019278, 0.23560469653929814, -0.087950154842026, 0.1513413753684448, 0.04315205698535926, -0.017781606254478294, -0.06602185324468798, -0.27598206040219986, 0.26589875596750906, 0.059763113198720894, 0.2738683661783411, -0.022634744509190754, 0.07923352297739653, -0.009418037875245014, -0.06366996399626351, 0.02742272472992688, -0.1865190698102368, 0.13954960870003139, 0.35344972450326645, 0.2024075400583662, 0.3623044394982466, -0.41770491749048233, -0.18796872293941028, 0.1447301627013603, 0.15408038337161575, 0.14006279323897933, -0.09091221780070792, -0.20346385993711327, 0.06120163661873211, -0.11067275921611683, -0.13894581987752, -0.11449968519256166, 0.012538369051585703, 0.06398094780203226, -0.3265029937163859, -0.005704713111365403, -0.0070738861737165435, 0.017476704423788233, -0.09318521155543841, -0.15313528379614372, 0.060882361356061, 0.18305911870835267, 0.009533467203162718, 0.06450899936042834, 0.12236683994558627, -0.16000574188428404, -0.192735626389259, 0.3777073324266551, -0.04548482490244551, -0.2355552089697533, 0.2114123198595168, -0.058427208818603256, -0.14745319260797207, 0.11723464013387759, 0.2134666302025426, 0.20023739734745544, -0.1759628171938053, 0.0595393959901876, 0.00986019789200762, 0.10282147245184667, -0.014462927248382914, 0.05611137169129823, 0.16924913060190022, 0.1968411809184413, 0.16007181053873207, 0.1436784656016507, 0.04913966623607321, -0.1410210628764353, -0.25659154269142426, -0.10054610112169082, -0.11037689656613098, 0.003214289474746455, -0.07404158331843538, -0.16041731227027334, 0.3675164300610946, 0.16599802224748378, 0.18334099943277196, 0.05975004517729732, 0.28988188324307185, 0.07392314938740616, 0.01818242003682299, 0.07708620641758476, 0.20247701169548393, 0.10299796450788667, 0.10965178717953572, -0.1989635652086387, 0.07745197344996521, 0.03984406355269037]
709.1021
Spacetime structure of 5D hypercylindrical vacuum solutions with tension
We investigate geometrical properties of 5D cylindrical vacuum solutions with a transverse spherical symmetry. The metric is uniform along the fifth direction and characterized by tension and mass densities. The solutions are classified by the tension-to-mass ratio. One particular example is the well-known Schwarzschild black string which has a curvature singularity enclosed by a horizon. We focus mainly on geometry of other solutions which possess a naked singularity. The light signal emitted by an object approaching the singularity reaches a distant observer with finite time, but is infinitely red-shifted.
gr-qc hep-th
we investigate geometrical properties of 5d cylindrical vacuum solutions with a transverse spherical symmetry the metric is uniform along the fifth direction and characterized by tension and mass densities the solutions are classified by the tensiontomass ratio one particular example is the wellknown schwarzschild black string which has a curvature singularity enclosed by a horizon we focus mainly on geometry of other solutions which possess a naked singularity the light signal emitted by an object approaching the singularity reaches a distant observer with finite time but is infinitely redshifted
[['we', 'investigate', 'geometrical', 'properties', 'of', '5d', 'cylindrical', 'vacuum', 'solutions', 'with', 'a', 'transverse', 'spherical', 'symmetry', 'the', 'metric', 'is', 'uniform', 'along', 'the', 'fifth', 'direction', 'and', 'characterized', 'by', 'tension', 'and', 'mass', 'densities', 'the', 'solutions', 'are', 'classified', 'by', 'the', 'tensiontomass', 'ratio', 'one', 'particular', 'example', 'is', 'the', 'wellknown', 'schwarzschild', 'black', 'string', 'which', 'has', 'a', 'curvature', 'singularity', 'enclosed', 'by', 'a', 'horizon', 'we', 'focus', 'mainly', 'on', 'geometry', 'of', 'other', 'solutions', 'which', 'possess', 'a', 'naked', 'singularity', 'the', 'light', 'signal', 'emitted', 'by', 'an', 'object', 'approaching', 'the', 'singularity', 'reaches', 'a', 'distant', 'observer', 'with', 'finite', 'time', 'but', 'is', 'infinitely', 'redshifted']]
[-0.1971423328795936, 0.11673449125257983, -0.09517933510836553, 0.07067452029117373, -0.0939745207795733, -0.17768118677089328, -0.06840915396671997, 0.3448376565409655, -0.1973840577252717, -0.25894202407587064, 0.1381300609421239, -0.326897618889978, -0.05081949050178413, 0.1404722633411769, -0.04696226632288678, 0.020094904127869417, 0.008114692617461762, 0.061952326285377654, -0.09865293765059588, -0.17717634263152088, 0.41128138977695594, 0.0642070683375509, 0.28187850963811134, 0.027656698721164667, 0.12775762429770443, -0.03349982989973135, 0.0345152339855717, 0.09237953844289719, -0.15963351892159236, 0.05116887302772904, 0.16289420275610278, 0.0819644283328671, 0.1968394543351182, -0.37954208663326094, -0.2244163010354069, 0.09140788298100233, 0.16610941850178113, 0.12738931026912972, -0.09948311932517258, -0.3205954843116077, 0.06519150741356002, -0.12972552504718557, -0.22809795626777818, 0.03014325582030737, 0.05473106370614418, -0.006995296645486219, -0.13874638500750403, 0.1006378078864972, 0.0704005365894938, 0.002045720029855147, -0.07459536791429855, -0.0096703778994693, -0.052172963676804844, 0.04579184161477976, 0.13904060396122409, 0.05254877397832884, 0.1658018489635486, -0.13179187620037489, -0.06689129113113847, 0.36462101755155757, -0.05969086832324551, -0.22105790778931061, 0.14389783419160682, -0.1772110694701868, -0.03469340155028145, 0.1800965997337533, 0.10303939161928032, 0.19567907148666563, -0.10125421460146423, 0.15634068796829192, 0.007089833374431526, 0.15865532311727293, 0.16109465719835664, 0.014448725734837353, 0.33485588713930076, 0.10617758474175142, 0.0647377407241782, 0.1649534285752452, -0.1020469034106513, -0.0941972943387968, -0.3226885930674722, -0.1279759692975362, -0.17219282773360398, 0.10266101301055063, -0.17047432692561415, -0.19239499509884891, 0.362414680252021, 0.013166426998478446, 0.2230503964555365, 0.004550416570220312, 0.272766715106131, 0.11247611563356424, 0.04964203721928326, 0.08835109212139453, 0.32618233739313757, 0.10777244489343668, 0.096535648224579, -0.19177865043854003, -0.01468526660358872, 0.11404537000502883]
709.1022
b\to s\nu\bar{\nu} decay in the MSSM: Implication of b\to s\gamma at large tan beta
The decay $b\to s\nu\bar{\nu}$ is discussed in the minimal supersymmetric standard model with general flavor mixing for squarks, at large $\tan\beta$. In this case, in addition to the chargino loop contributions which were analyzed in previously studies, $\tan\beta$-enhanced contributions from the gluino and charged Higgs boson loops might become sizable compared with the standard model contribution, at least in principle. However, it is demonstrated that the experimental bounds on the new physics contributions to the radiative decay $b\to s\gamma$ should strongly constrain these contributions to $b\to s\nu\bar{\nu}$, especially on the gluino contribution. We also briefly comment on a possible constraint from the $B_s\to\mu^+\mu^-$ decay.
hep-ph
the decay bto snubarnu is discussed in the minimal supersymmetric standard model with general flavor mixing for squarks at large tanbeta in this case in addition to the chargino loop contributions which were analyzed in previously studies tanbetaenhanced contributions from the gluino and charged higgs boson loops might become sizable compared with the standard model contribution at least in principle however it is demonstrated that the experimental bounds on the new physics contributions to the radiative decay bto sgamma should strongly constrain these contributions to bto snubarnu especially on the gluino contribution we also briefly comment on a possible constraint from the b_stomumu decay
[['the', 'decay', 'bto', 'snubarnu', 'is', 'discussed', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'with', 'general', 'flavor', 'mixing', 'for', 'squarks', 'at', 'large', 'tanbeta', 'in', 'this', 'case', 'in', 'addition', 'to', 'the', 'chargino', 'loop', 'contributions', 'which', 'were', 'analyzed', 'in', 'previously', 'studies', 'tanbetaenhanced', 'contributions', 'from', 'the', 'gluino', 'and', 'charged', 'higgs', 'boson', 'loops', 'might', 'become', 'sizable', 'compared', 'with', 'the', 'standard', 'model', 'contribution', 'at', 'least', 'in', 'principle', 'however', 'it', 'is', 'demonstrated', 'that', 'the', 'experimental', 'bounds', 'on', 'the', 'new', 'physics', 'contributions', 'to', 'the', 'radiative', 'decay', 'bto', 'sgamma', 'should', 'strongly', 'constrain', 'these', 'contributions', 'to', 'bto', 'snubarnu', 'especially', 'on', 'the', 'gluino', 'contribution', 'we', 'also', 'briefly', 'comment', 'on', 'a', 'possible', 'constraint', 'from', 'the', 'b_stomumu', 'decay']]
[-0.0281833734367795, 0.2687395076500252, 0.01391218101623683, 0.202573911507408, -0.09136063358164392, -0.16604643246570888, 0.07622972001823095, 0.28097914899430737, -0.21225123857416642, -0.23426641111906904, 0.03616394778118075, -0.33754998869083536, -0.03758563754560713, 0.18276126427540126, 0.033914825458151214, 0.07201769785024226, 0.09054648149042176, -0.02361036762774277, -0.03800169639390123, -0.23636710228255162, 0.2663301412338534, 0.007160006534272375, 0.19913378176100266, 0.1756340103232875, -0.06725982048709948, -0.06550570296643016, -0.07121876059458233, -0.0783999181048085, -0.16485931266967013, 0.055797964893057585, 0.18462232786875504, 0.058738001340176337, 0.06843162794561627, -0.33767228534158605, -0.10284513647471052, 0.14583414948831958, 0.15907743189913723, 0.11603782147218365, -0.0387286847499826, -0.31492352945721136, 0.09190023898386593, -0.18638165736606774, -0.03536664870094123, -0.07413916996581695, -0.031947084989112154, -0.17718298355220424, -0.33649369535179663, 0.06816799459780808, -0.05421533313347027, -0.03454638190137652, 0.03942194406073003, -0.25494255681293837, -0.046328267046751886, 0.0008932262829218346, 0.22531669475182964, 0.01966745713994337, 0.15628779472675747, -0.16569169743496998, -0.18769232544582337, 0.41420346226256627, -0.12129596562366575, -0.1969882493543152, 0.16238961417156345, -0.2107433237744352, -0.2316897026791524, 0.13925180570311987, 0.22553386485490662, 0.07802513893805624, -0.18498538883152202, 0.19111831962352602, -0.0068808016546357135, 0.14024517193544084, 0.05403769293871637, 0.0712764795064756, 0.22437869362497273, 0.18711465040150171, -0.005110710268267072, 0.08980987681290852, -0.06833463122781652, -0.12196316253091656, -0.4337501933511633, -0.09839425536875542, -0.03172395063582091, 0.05693791585508734, -0.04254130891380415, -0.0834833075048384, 0.37567945949446696, 0.1279722939720019, 0.23504179301492584, 0.04683410040608858, 0.33195171974456084, 0.08421289500704286, 0.1305461208864402, 0.039765114072137155, 0.38964146551622364, 0.13986333724012814, 0.12621224269073886, -0.2755128906439775, 0.028385146601627078, 0.06999912433317289]
709.1023
Constraint optimization and landscapes
We describe an effective landscape introduced in [1] for the analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring. This geometric construction reexpresses these problems in the more familiar terms of optimization in rugged energy landscapes. In particular, it allows one to understand the puzzling fact that unsophisticated programs are successful well beyond what was considered to be the `hard' transition, and suggests an algorithm defining a new, higher, easy-hard frontier.
quant-ph cond-mat.stat-mech cs.CC nlin.AO
we describe an effective landscape introduced in 1 for the analysis of constraint satisfaction problems such as sphere packing ksat and graph coloring this geometric construction reexpresses these problems in the more familiar terms of optimization in rugged energy landscapes in particular it allows one to understand the puzzling fact that unsophisticated programs are successful well beyond what was considered to be the hard transition and suggests an algorithm defining a new higher easyhard frontier
[['we', 'describe', 'an', 'effective', 'landscape', 'introduced', 'in', '1', 'for', 'the', 'analysis', 'of', 'constraint', 'satisfaction', 'problems', 'such', 'as', 'sphere', 'packing', 'ksat', 'and', 'graph', 'coloring', 'this', 'geometric', 'construction', 'reexpresses', 'these', 'problems', 'in', 'the', 'more', 'familiar', 'terms', 'of', 'optimization', 'in', 'rugged', 'energy', 'landscapes', 'in', 'particular', 'it', 'allows', 'one', 'to', 'understand', 'the', 'puzzling', 'fact', 'that', 'unsophisticated', 'programs', 'are', 'successful', 'well', 'beyond', 'what', 'was', 'considered', 'to', 'be', 'the', 'hard', 'transition', 'and', 'suggests', 'an', 'algorithm', 'defining', 'a', 'new', 'higher', 'easyhard', 'frontier']]
[-0.06758876651991158, 0.08145606353762559, -0.09489052912220358, 0.18168510739225893, -0.12157011066873868, -0.1547317597704629, 0.02942971666653951, 0.35779514074325564, -0.300771975244085, -0.3889078024029732, 0.0866518078930676, -0.2248780713015003, -0.2057518237332503, 0.15995913943896692, -0.11723843859508634, 0.0777534573773543, 0.015952187068760396, 0.0028554576635360716, -0.027839892025416094, -0.2397546614415478, 0.27183679724733034, 0.05917081909875075, 0.22258558386315902, 0.08464730696907888, 0.06332491769765815, 0.05339821700938046, 0.0392775769966344, 0.07239432434085756, -0.17351312703501512, 0.11717467005054157, 0.3030808538198471, 0.1866733170983692, 0.28315565864245096, -0.39333914071321485, -0.19802354628491836, 0.13995534663088618, 0.13780140467608967, 0.08998844251036645, -0.01820843644847628, -0.2237266056922575, 0.043243614703727264, -0.11022481537113588, -0.10934068612754345, -0.08672723849614461, 0.01375431248297294, -0.008953528304894764, -0.21177305373052757, 9.056264961448809e-05, 0.04783433586514244, 0.022658493537455797, -0.04263479059639697, -0.1440643719304353, 0.03875078065010409, 0.08655443240577976, 0.028553755754449715, 0.07411306149636705, 0.10149373505885402, -0.1581376966678848, -0.15830098418829341, 0.4363188663870096, 0.026407881441215673, -0.15656291157007218, 0.20075926828508575, -0.08847773712128401, -0.228356205864499, 0.1563456938912471, 0.14969688984254995, 0.1373449037099878, -0.1386161157426735, 0.06818066150415689, -0.04084472812712193, 0.1289914195984602, 0.05572131083346903, 0.013492933588568122, 0.1799282931132863, 0.19013151368436715, 0.15650306475659212, 0.17865121005568654, 0.02620197307318449, -0.14390902407467365, -0.2575931340456009, -0.1467909566410041, -0.17654021603986622, 0.0019964862785612544, -0.10585763459986386, -0.19738652613634863, 0.37692006861170135, 0.14457771847645443, 0.16865746710449459, 0.04748865954267482, 0.24137790442444385, 0.13170958138847103, 0.04754872839897871, 0.06604300789535046, 0.2030805875485142, 0.10039725874861082, 0.10988464210182429, -0.15632452288332085, 0.03948017179655532, 0.039931165153781575]
709.1024
Computational performance of a parallelized high-order spectral and mortar element toolbox
In this paper, a comprehensive performance review of a MPI-based high-order spectral and mortar element method C++ toolbox is presented. The focus is put on the performance evaluation of several aspects with a particular emphasis on the parallel efficiency. The performance evaluation is analyzed and compared to predictions given by a heuristic model, the so-called Gamma model. A tailor-made CFD computation benchmark case is introduced and used to carry out this review, stressing the particular interest for commodity clusters. Conclusions are drawn from this extensive series of analyses and modeling leading to specific recommendations concerning such toolbox development and parallel implementation.
cs.DC cs.PF
in this paper a comprehensive performance review of a mpibased highorder spectral and mortar element method c toolbox is presented the focus is put on the performance evaluation of several aspects with a particular emphasis on the parallel efficiency the performance evaluation is analyzed and compared to predictions given by a heuristic model the socalled gamma model a tailormade cfd computation benchmark case is introduced and used to carry out this review stressing the particular interest for commodity clusters conclusions are drawn from this extensive series of analyses and modeling leading to specific recommendations concerning such toolbox development and parallel implementation
[['in', 'this', 'paper', 'a', 'comprehensive', 'performance', 'review', 'of', 'a', 'mpibased', 'highorder', 'spectral', 'and', 'mortar', 'element', 'method', 'c', 'toolbox', 'is', 'presented', 'the', 'focus', 'is', 'put', 'on', 'the', 'performance', 'evaluation', 'of', 'several', 'aspects', 'with', 'a', 'particular', 'emphasis', 'on', 'the', 'parallel', 'efficiency', 'the', 'performance', 'evaluation', 'is', 'analyzed', 'and', 'compared', 'to', 'predictions', 'given', 'by', 'a', 'heuristic', 'model', 'the', 'socalled', 'gamma', 'model', 'a', 'tailormade', 'cfd', 'computation', 'benchmark', 'case', 'is', 'introduced', 'and', 'used', 'to', 'carry', 'out', 'this', 'review', 'stressing', 'the', 'particular', 'interest', 'for', 'commodity', 'clusters', 'conclusions', 'are', 'drawn', 'from', 'this', 'extensive', 'series', 'of', 'analyses', 'and', 'modeling', 'leading', 'to', 'specific', 'recommendations', 'concerning', 'such', 'toolbox', 'development', 'and', 'parallel', 'implementation']]
[-0.07546216549148949, -0.03219444585945642, -0.07772571881910288, 0.013363182402935138, -0.09593430570658702, -0.12790418216626687, 0.052852998972907295, 0.4088048748487588, -0.1878673170813092, -0.3045104696037303, 0.12944306327504945, -0.25658857586821265, -0.13622445343431122, 0.2616719605198296, -0.04684426247731248, 0.07762433898330916, 0.16200533442863144, 0.005925612907976576, -0.061910179448267905, -0.254770772789817, 0.24988860800161516, 0.11327399386756934, 0.3403108636894734, 0.07222394855683761, 0.03939049936240852, -0.035820679368115824, -0.14411064557094902, 0.0259147365623624, -0.1545610682978894, 0.1668900930729584, 0.26106761016025404, 0.13409499363918412, 0.3123685604348631, -0.4021822910866525, -0.19924218439967326, 0.032706213597494115, 0.09604646011237239, 0.057755961230411976, -0.10225518379996687, -0.25576537093931423, 0.06981729311259961, -0.20046587825042778, -0.07395569303783008, -0.11658845090371843, -0.01066516662676534, 0.03192543994639954, -0.2500251642022614, -0.025234581692845072, 0.040065652395755345, 0.09148302630032643, 0.018090641462603713, -0.1753586422522912, 0.06295159318954638, 0.10070481512806204, 0.04958178384787412, 0.027299586997026264, 0.11104410938402214, -0.1013507303795639, -0.12975309119735023, 0.41905750981578144, -0.02402347092295416, -0.2381726493044655, 0.196347215915984, -0.04539739936682405, -0.17911575994647966, 0.0641670529131252, 0.2213861647864232, 0.12597212280172135, -0.1566656669048537, 0.08591255099491889, -4.784720442672767e-05, 0.15376968929857607, 0.010107627825461107, -0.02601104085840801, 0.17220631404779851, 0.2564800471888099, -0.04191874100430177, 0.17414865368921864, -0.05919777308267975, -0.14465249882605258, -0.305739790689901, -0.15803227090451977, -0.15238129726546532, -0.01852438481764333, -0.05216141650381171, -0.16774430941089546, 0.42559024171516446, 0.20671160129780103, 0.1446494938584395, 0.029060690536965975, 0.34742892708048445, 0.07042882668942509, 0.012976463852994292, 0.06907046246019626, 0.1693828560338162, 0.10818535005812081, 0.11182566152166316, -0.20076165173783678, 0.060143473737937686, 0.05216434823883937]
709.1025
Coexistence of CDW with staggered superconductivity in a ferromagnetic material
In usual superconductivity (SC), the pairs have zero total momentum irrespective of their symmetry. Staggered SC would involve, instead, pairs with a finite commensurate total momentum, but such exotic states have never been proven to be realized in nature. Here we study for the first time the influence of particle-hole asymmetry on the competition of staggered SC with Charge Density Waves (CDW) in a ferromagnetic medium. We obtain unprecedented situations in which CDW and staggered SC coexist. We also obtain cases of a SC dome near the collapse of a CDW state as well as cascades of transitions that exhibit remarkable similarities with the pressure phase diagram in UGe$_2$ suggesting that SC in this material may be staggered coexisting and competing with a CDW state.
cond-mat.supr-con cond-mat.str-el
in usual superconductivity sc the pairs have zero total momentum irrespective of their symmetry staggered sc would involve instead pairs with a finite commensurate total momentum but such exotic states have never been proven to be realized in nature here we study for the first time the influence of particlehole asymmetry on the competition of staggered sc with charge density waves cdw in a ferromagnetic medium we obtain unprecedented situations in which cdw and staggered sc coexist we also obtain cases of a sc dome near the collapse of a cdw state as well as cascades of transitions that exhibit remarkable similarities with the pressure phase diagram in uge_2 suggesting that sc in this material may be staggered coexisting and competing with a cdw state
[['in', 'usual', 'superconductivity', 'sc', 'the', 'pairs', 'have', 'zero', 'total', 'momentum', 'irrespective', 'of', 'their', 'symmetry', 'staggered', 'sc', 'would', 'involve', 'instead', 'pairs', 'with', 'a', 'finite', 'commensurate', 'total', 'momentum', 'but', 'such', 'exotic', 'states', 'have', 'never', 'been', 'proven', 'to', 'be', 'realized', 'in', 'nature', 'here', 'we', 'study', 'for', 'the', 'first', 'time', 'the', 'influence', 'of', 'particlehole', 'asymmetry', 'on', 'the', 'competition', 'of', 'staggered', 'sc', 'with', 'charge', 'density', 'waves', 'cdw', 'in', 'a', 'ferromagnetic', 'medium', 'we', 'obtain', 'unprecedented', 'situations', 'in', 'which', 'cdw', 'and', 'staggered', 'sc', 'coexist', 'we', 'also', 'obtain', 'cases', 'of', 'a', 'sc', 'dome', 'near', 'the', 'collapse', 'of', 'a', 'cdw', 'state', 'as', 'well', 'as', 'cascades', 'of', 'transitions', 'that', 'exhibit', 'remarkable', 'similarities', 'with', 'the', 'pressure', 'phase', 'diagram', 'in', 'uge_2', 'suggesting', 'that', 'sc', 'in', 'this', 'material', 'may', 'be', 'staggered', 'coexisting', 'and', 'competing', 'with', 'a', 'cdw', 'state']]
[-0.21746032617799937, 0.25207421188801526, -0.07717885670810938, 0.0682315580630675, -0.03525221435725689, -0.11540940629690885, 0.10359871982969343, 0.38606896296143534, -0.22376372179761528, -0.28838180828094484, 0.014674017077311873, -0.3089678023904562, -0.09873519369959831, 0.06887921626120806, 0.07338933662325144, -0.024627005621790887, -0.03639416060596704, -0.0036406174041330812, -0.18210086486535146, -0.22430820132046939, 0.3412538791000843, -0.021184530755504964, 0.3188815735168755, 0.0795633372347802, 0.013474135518074035, -0.05092095378786325, 0.09999025404080748, 0.048859564549391506, -0.12292776646150742, -0.04463601678097621, 0.2923089297451079, -0.04098999379202724, 0.16866918321698904, -0.4446415527462959, -0.2600898408256471, 0.05403990639746189, 0.1609567773612216, 0.15322737562749536, -0.05672418529260904, -0.28259778489917514, 0.07227866450697183, -0.20209430103749038, -0.1315280946493149, -0.1045886183977127, -0.014719443559646607, 0.049611702935770156, -0.2468615439981222, 0.11153736737906002, 0.07651183465961367, 0.08099031416443177, -0.06975775918923319, -0.1312436186671257, -0.10163330704718829, 0.04062532318383455, 0.0406850636517629, 0.0982302649859339, 0.02419057034421712, -0.13712146891839802, -0.1375419333912432, 0.36584390052035454, -0.03563884925749153, -0.09514935014210642, 0.17661507564038037, -0.17177465924434362, -0.07170439583808183, 0.1726957354862243, 0.13158587516844272, 0.05709123875945807, -0.058343045212328436, 0.03190619863104075, -0.03388738970179111, 0.16944977009296416, 0.0495432943738997, 0.13571989868953824, 0.2543951232135296, 0.18804807896912099, 0.09372382730897516, 0.12121333273313939, -0.07921892055682837, -0.12574792931601406, -0.23959901140630246, -0.17306187408417464, -0.19670242844521998, 0.0241399769410491, -0.020725053172325716, -0.20408557735383512, 0.3965270708724856, 0.14456885571498423, 0.20908796398714186, -0.10577899488713592, 0.21731442203372717, 0.09158937239367515, 0.06303812466934323, 0.06170343228429556, 0.24342305721482263, 0.12514817287027835, 0.14511765495315193, -0.29323038390278816, 0.0776138925999403, 0.01728276806883514]
709.1026
Parton showers from the dipole formalism
We present an implementation of a parton shower algorithm for hadron colliders and electron-positron colliders based on the dipole factorisation formulae. The algorithm treats initial-state partons on equal footing with final-state partons. We implemented the algorithm for massless and massive partons.
hep-ph
we present an implementation of a parton shower algorithm for hadron colliders and electronpositron colliders based on the dipole factorisation formulae the algorithm treats initialstate partons on equal footing with finalstate partons we implemented the algorithm for massless and massive partons
[['we', 'present', 'an', 'implementation', 'of', 'a', 'parton', 'shower', 'algorithm', 'for', 'hadron', 'colliders', 'and', 'electronpositron', 'colliders', 'based', 'on', 'the', 'dipole', 'factorisation', 'formulae', 'the', 'algorithm', 'treats', 'initialstate', 'partons', 'on', 'equal', 'footing', 'with', 'finalstate', 'partons', 'we', 'implemented', 'the', 'algorithm', 'for', 'massless', 'and', 'massive', 'partons']]
[-0.06884170120309402, 0.2778687402334493, -0.2271481303997883, 0.22371272561026784, -0.0698944098066266, -0.06936742911660453, -0.1127519193957219, 0.46775373057803005, -0.038318178730040064, -0.19721432688941315, -0.1377668472733803, -0.31479589050499407, 0.04684290480686397, 0.09160965199514133, 0.13173705321259616, 0.1645537855603346, 0.17776483070196175, -0.08203797773798792, 0.013415633577984053, -0.2633713825219652, 0.31577472643154425, 0.1383104388851945, 0.1738681640794001, 0.2179502774847717, 0.24586666211849306, 0.22837644032906831, -0.08423284668384529, -0.10950546988808527, -0.05009075760182629, 0.030599484992463413, 0.2170791504677476, 0.14171666238547825, 0.08134063224240047, -0.45031320767068284, 0.011420788794256202, 0.05001953255566882, 0.20840711278341165, 0.14424911032362683, -0.0028971558856982285, -0.2689605425679829, 0.035263909822011864, -0.3326112076912711, -0.14218358520600127, -0.09552993146112053, -0.1287398615443125, -0.08199680155915458, -0.3533613162296938, 0.00979028973819279, -0.034913556468559474, -0.022612223946830122, 0.052080179996243335, -0.2813120074570179, 0.024419372129004177, -0.09520690713259505, 0.1284927577234623, 0.0729783449162979, 0.17671820154504442, -0.174872211385064, -0.2946177724657989, 0.4356087962301766, 0.04646332218970468, -0.1984918850769357, 0.11639883594655591, -0.15519249230259802, -0.14420557780781898, 0.1673599582438062, 0.3447281992653521, 0.1322708998738629, -0.180769994355193, 0.1412838451058899, 0.005645348622304637, 0.14070128390520084, 0.09491951252538257, 0.12361855654999977, 0.2064523920416832, 0.1930728212180661, -0.009381172905971364, 0.09760096957679928, -0.05323041942561182, -0.07023428280542536, -0.4277946031311663, -0.08434442017318272, -0.17258812537098803, 0.021115514725196835, -0.111687219269409, -0.1962017629113866, 0.34844970521403523, 0.15323194077738175, 0.1495497433423269, 0.048390182961777946, 0.4808852601705528, 0.09607518450697748, -0.0022605830780798343, 0.20310442145096091, 0.18346101029707892, 0.16926867469418339, 0.09292351197069454, -0.27771475147910235, -0.015575556209447181, 0.22031839276066265]
709.1027
A parton shower algorithm based on Catani-Seymour dipole factorisation
In this publication the implementation of a new parton shower model based on the Catani-Seymour dipole factorisation, as first suggested by Z. Nagy and D. E. Soper, is discussed. First results obtained with the new algorithm are compared with experimental data.
hep-ph
in this publication the implementation of a new parton shower model based on the cataniseymour dipole factorisation as first suggested by z nagy and d e soper is discussed first results obtained with the new algorithm are compared with experimental data
[['in', 'this', 'publication', 'the', 'implementation', 'of', 'a', 'new', 'parton', 'shower', 'model', 'based', 'on', 'the', 'cataniseymour', 'dipole', 'factorisation', 'as', 'first', 'suggested', 'by', 'z', 'nagy', 'and', 'd', 'e', 'soper', 'is', 'discussed', 'first', 'results', 'obtained', 'with', 'the', 'new', 'algorithm', 'are', 'compared', 'with', 'experimental', 'data']]
[-0.04922576692727644, 0.08246256557588534, -0.11519294931757741, 0.045527139178863384, -0.05165219597700166, -0.08693437662157344, -0.005179912624199216, 0.38177898398986676, -0.14114547266465863, -0.30118818172230954, 0.03890858032661149, -0.2629771652154443, -0.09856003341151447, 0.1906000774342385, 0.004268995349908747, 0.11007107669351304, 0.10149577362235726, -0.020385745594777713, -0.03777222982721358, -0.2515480738224053, 0.2937785755706633, 0.11934429522967194, 0.23798974962314454, 0.0912067750696002, 0.07055402517875248, 0.04781927142246831, -0.15216779347690867, -0.02409767459441976, -0.13895529303018275, 0.12898091117783292, 0.17851972702618052, 0.13356850136116874, 0.16056124384446843, -0.36016198399862864, -0.09842682863790088, -0.022892062506842906, 0.09237425854974766, 0.0884268351080941, -0.06504918417109676, -0.3490602822928894, 0.09045326693846685, -0.23578200437037683, -0.08895722923164325, -0.08301394898444414, 0.0010683433629754113, 0.04894591220540971, -0.29843678834234794, 0.041423862391128774, 0.017682408209799265, 0.03155150895415828, -0.014880358008667827, -0.27285854488883804, 0.006692939914944695, -0.01689132664170934, 0.07789913525452792, 0.1461252325396167, 0.043509501225610335, -0.048617985491391, -0.2527191278229399, 0.3985711421544959, -0.0815606674452017, -0.1303535338672923, 0.10044942742281752, -0.1409499350730784, -0.17526527029666594, 0.11678841555627381, 0.16407012864493015, 0.11349240635953299, -0.1796690258992518, 0.11570312934444944, -0.05266223898336359, 0.1179924079376023, 0.03901010289470234, -0.02668824183141313, 0.08531031469110309, 0.22625588039617714, -0.022779615709512698, 0.09755791490329657, -0.06893530857703853, -0.032611843718147675, -0.3724894345533557, -0.10273282922713495, -0.2141503070753704, 0.018703139841374828, -0.07099519290630535, -0.10285145280564703, 0.3636975936682486, 0.1465830985547566, 0.23471561633050442, 0.043158204362886705, 0.3226161904905627, 0.07320510922851632, 0.03393303472321571, 0.08055071749656302, 0.23004461609099697, 0.15136264624051388, 0.11431919695900344, -0.18492831890584854, 0.05025950805198901, 0.10457366950832671]
709.1028
Analytic evidence for the Gubser-Mitra conjecture
A simple master equation for the static perturbation of charged black strings is derived while employing the gauge proposed by Kol. As the charge is varied it is found that the potential in the master equation for the perturbations becomes positive exactly when the specific heat turns positive thus forbidding a bound state and the onset of the Gregory-Laflamme instability. It can safely be said that this is the first analytic and explicit evidence for the Gubser-Mitra conjecture, correlating the classical and thermodynamic instabilities of black branes. Possible generalizations of the analysis are also discussed.
hep-th gr-qc
a simple master equation for the static perturbation of charged black strings is derived while employing the gauge proposed by kol as the charge is varied it is found that the potential in the master equation for the perturbations becomes positive exactly when the specific heat turns positive thus forbidding a bound state and the onset of the gregorylaflamme instability it can safely be said that this is the first analytic and explicit evidence for the gubsermitra conjecture correlating the classical and thermodynamic instabilities of black branes possible generalizations of the analysis are also discussed
[['a', 'simple', 'master', 'equation', 'for', 'the', 'static', 'perturbation', 'of', 'charged', 'black', 'strings', 'is', 'derived', 'while', 'employing', 'the', 'gauge', 'proposed', 'by', 'kol', 'as', 'the', 'charge', 'is', 'varied', 'it', 'is', 'found', 'that', 'the', 'potential', 'in', 'the', 'master', 'equation', 'for', 'the', 'perturbations', 'becomes', 'positive', 'exactly', 'when', 'the', 'specific', 'heat', 'turns', 'positive', 'thus', 'forbidding', 'a', 'bound', 'state', 'and', 'the', 'onset', 'of', 'the', 'gregorylaflamme', 'instability', 'it', 'can', 'safely', 'be', 'said', 'that', 'this', 'is', 'the', 'first', 'analytic', 'and', 'explicit', 'evidence', 'for', 'the', 'gubsermitra', 'conjecture', 'correlating', 'the', 'classical', 'and', 'thermodynamic', 'instabilities', 'of', 'black', 'branes', 'possible', 'generalizations', 'of', 'the', 'analysis', 'are', 'also', 'discussed']]
[-0.14791745554998909, 0.15060737813381772, -0.08456785498971217, 0.13000994233880192, -0.07458660343759939, -0.1663614640796655, 0.03855682609504775, 0.23295729779883434, -0.22570117177490734, -0.2465547193429972, 0.12335245985733835, -0.30126935611478983, -0.15448773377329894, 0.17948791708209014, 0.003934934892152485, 0.04058996352710222, 0.014948765239923409, 0.07246393882914594, -0.05922617699620069, -0.23255464724804226, 0.3477911011659001, 0.05704399873747638, 0.2649845428568752, 0.09092083709608567, 0.07787747361651685, -0.028624239568843652, 0.024202653836753022, 0.04579677540612848, -0.14190761336128496, 0.021464143242490918, 0.22269592740569927, 0.09157199974809038, 0.20462199367190662, -0.3909166176852427, -0.22961079768689446, 0.09694572287170511, 0.1707883752000175, 0.18475660011294837, -0.061575482561755435, -0.2813974326182353, 0.10676559676465235, -0.15784562469067934, -0.16529477276030535, -0.09535859727766365, 0.07780252532714879, -0.0024325169776076155, -0.2661345553290295, 0.11414323243723055, 0.08423508561314329, -0.05328217437000651, -0.10779129545155325, -0.06014678826751678, -0.088431918268141, 0.0904562791751232, 0.09069564891488928, 0.05237615444991542, 0.11461334346156371, -0.1230292634033647, -0.08300053531696137, 0.35666358973830936, -0.05180027990258838, -0.22609147997082849, 0.13929149602343768, -0.11999002579893721, -0.09371572534896826, 0.11196057248223378, 0.05606266012611358, 0.16811889954597542, -0.16245567451405804, 0.11830275304627752, -0.021328281248478513, 0.13272019384771977, 0.12012882873317914, -0.003947943321576244, 0.2540896626973623, 0.11240026950836182, 0.030506122175996242, 0.1770681571007069, 0.003502878605535156, -0.12727850972932125, -0.335829007623129, -0.14570858780950258, -0.16198649339279847, 0.08721323214152729, -0.12652273790766852, -0.16232721223250815, 0.35881718958875064, 0.118074594413108, 0.1295010279668005, 0.029877115094936207, 0.2671323058857141, 0.1760187455979911, 0.021790143582773838, 0.08802840319511138, 0.27600381774582755, 0.14588079746861599, 0.09398655284833358, -0.26665072834829945, 0.025267794610638366, 0.09352770407292012]
709.1029
Four-lepton LHC events from MSSM Higgs boson decays into neutralino and chargino pairs
Heavy neutral Higgs boson production and decay into neutralino and chargino pairs is studied at the Large Hadron Collider in the context of the Minimal Supersymmetric Standard Model. Higgs boson decays into the heavier neutralino and chargino states, i.e., H^0 or A^0 to tilde{chi}_i^0 tilde{chi}_j^0 (i,j = 2,3,4) as well as H^0 or A^0 to tilde{chi}_1^{pm} tilde{chi}_2^{mp}, tilde{chi}_2^+ tilde{chi}_2^- (all leading to four-lepton plus missing transverse energy final states), is found to improve the possibilities of discovering such Higgs states beyond those previously identified by considering H^0 or A^0 to tilde{chi}_2^0 tilde{chi}_2^0 decays only. In particular, H^0,A^0 bosons with quite heavy masses, approaching ~800 GeV in the so-called `decoupling region' where no clear SM signatures for the heavier MSSM Higgs bosons are known to exist, can now be discerned, for suitable but not particularly restrictive configurations of the low energy supersymmetric parameters. The high M_A discovery reach for the H^0 and A^0 may thus be greatly extended. Full event-generator level simulations, including realistic detector effects and analyses of all significant backgrounds, are performed to delineate the potential H^0,A^0 discovery regions. The wedgebox plot technique is also utilized to further analyze the 4l plus missing transverse energy signal and background events. This study marks the first thorough and reasonably complete analysis of this important class of MSSM Higgs boson signature modes. In fact, this is the first time discovery regions including all possible neutralino and chargino decay modes of the Higgs bosons have ever been mapped out.
hep-ph
heavy neutral higgs boson production and decay into neutralino and chargino pairs is studied at the large hadron collider in the context of the minimal supersymmetric standard model higgs boson decays into the heavier neutralino and chargino states ie h0 or a0 to tildechi_i0 tildechi_j0 ij 234 as well as h0 or a0 to tildechi_1pm tildechi_2mp tildechi_2 tildechi_2 all leading to fourlepton plus missing transverse energy final states is found to improve the possibilities of discovering such higgs states beyond those previously identified by considering h0 or a0 to tildechi_20 tildechi_20 decays only in particular h0a0 bosons with quite heavy masses approaching 800 gev in the socalled decoupling region where no clear sm signatures for the heavier mssm higgs bosons are known to exist can now be discerned for suitable but not particularly restrictive configurations of the low energy supersymmetric parameters the high m_a discovery reach for the h0 and a0 may thus be greatly extended full eventgenerator level simulations including realistic detector effects and analyses of all significant backgrounds are performed to delineate the potential h0a0 discovery regions the wedgebox plot technique is also utilized to further analyze the 4l plus missing transverse energy signal and background events this study marks the first thorough and reasonably complete analysis of this important class of mssm higgs boson signature modes in fact this is the first time discovery regions including all possible neutralino and chargino decay modes of the higgs bosons have ever been mapped out
[['heavy', 'neutral', 'higgs', 'boson', 'production', 'and', 'decay', 'into', 'neutralino', 'and', 'chargino', 'pairs', 'is', 'studied', 'at', 'the', 'large', 'hadron', 'collider', 'in', 'the', 'context', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'higgs', 'boson', 'decays', 'into', 'the', 'heavier', 'neutralino', 'and', 'chargino', 'states', 'ie', 'h0', 'or', 'a0', 'to', 'tildechi_i0', 'tildechi_j0', 'ij', '234', 'as', 'well', 'as', 'h0', 'or', 'a0', 'to', 'tildechi_1pm', 'tildechi_2mp', 'tildechi_2', 'tildechi_2', 'all', 'leading', 'to', 'fourlepton', 'plus', 'missing', 'transverse', 'energy', 'final', 'states', 'is', 'found', 'to', 'improve', 'the', 'possibilities', 'of', 'discovering', 'such', 'higgs', 'states', 'beyond', 'those', 'previously', 'identified', 'by', 'considering', 'h0', 'or', 'a0', 'to', 'tildechi_20', 'tildechi_20', 'decays', 'only', 'in', 'particular', 'h0a0', 'bosons', 'with', 'quite', 'heavy', 'masses', 'approaching', '800', 'gev', 'in', 'the', 'socalled', 'decoupling', 'region', 'where', 'no', 'clear', 'sm', 'signatures', 'for', 'the', 'heavier', 'mssm', 'higgs', 'bosons', 'are', 'known', 'to', 'exist', 'can', 'now', 'be', 'discerned', 'for', 'suitable', 'but', 'not', 'particularly', 'restrictive', 'configurations', 'of', 'the', 'low', 'energy', 'supersymmetric', 'parameters', 'the', 'high', 'm_a', 'discovery', 'reach', 'for', 'the', 'h0', 'and', 'a0', 'may', 'thus', 'be', 'greatly', 'extended', 'full', 'eventgenerator', 'level', 'simulations', 'including', 'realistic', 'detector', 'effects', 'and', 'analyses', 'of', 'all', 'significant', 'backgrounds', 'are', 'performed', 'to', 'delineate', 'the', 'potential', 'h0a0', 'discovery', 'regions', 'the', 'wedgebox', 'plot', 'technique', 'is', 'also', 'utilized', 'to', 'further', 'analyze', 'the', '4l', 'plus', 'missing', 'transverse', 'energy', 'signal', 'and', 'background', 'events', 'this', 'study', 'marks', 'the', 'first', 'thorough', 'and', 'reasonably', 'complete', 'analysis', 'of', 'this', 'important', 'class', 'of', 'mssm', 'higgs', 'boson', 'signature', 'modes', 'in', 'fact', 'this', 'is', 'the', 'first', 'time', 'discovery', 'regions', 'including', 'all', 'possible', 'neutralino', 'and', 'chargino', 'decay', 'modes', 'of', 'the', 'higgs', 'bosons', 'have', 'ever', 'been', 'mapped', 'out']]
[-0.058396241650916635, 0.2726975175047604, -0.006162472221573504, 0.2031203292198673, -0.07315722430163683, -0.23145994366301845, 0.05237203160844122, 0.3091351303970441, -0.1986210800056142, -0.2879051016255592, 0.031976471919915636, -0.30282944890010793, 0.059609614992708275, 0.14099717579132023, 0.07768177368113054, 0.08155215804387504, 0.11651658681027281, 0.021530036098556592, -0.030962940821336816, -0.24445858441855914, 0.2540824489376973, 0.04347450066416059, 0.16886619899887592, 0.07711570276102672, 0.005754785488049189, 0.020053142873378723, -0.02209152458308381, -0.10973906748355754, -0.14115049188258127, 0.022403326202038443, 0.2045464415801689, 0.07395205224456732, 0.14510985177669986, -0.29776438555127244, -0.14330461452773308, 0.23387443517209855, 0.23275544178904967, 0.0901362080660571, -0.0682892485987395, -0.36098541689570995, 0.13237938937963917, -0.1923869861328664, -0.09995408052539763, -0.0694138814646673, -0.02815040452599836, -0.13552101606910583, -0.30977018279372714, 0.11039619684731103, -0.0564199215756768, 0.0046066773322915346, 0.01663455019831114, -0.20850241925994245, -0.11887085566486348, 0.009612911719887051, 0.16120856048582938, 0.021073325568795553, 0.18866149171565968, -0.19474224711593707, -0.15941936831513887, 0.4004860318809127, -0.10309065733211659, -0.15465011580187518, 0.21561297922647402, -0.18143688129202928, -0.15882486718807437, 0.17812870771546538, 0.22028466771395566, 0.08717153465816713, -0.17397922822468292, 0.17287250370245602, 0.006396657298319041, 0.1485949232194495, 0.07658674733441634, 0.09381027554627508, 0.26473610928029906, 0.176758971264159, 0.015208782567060552, 0.07248824362856492, -0.10386813778701859, -0.06433930554315642, -0.41529164631307747, -0.16230710164963966, -0.03713609704039603, 0.01696983283236477, -0.01235297450912185, -0.1004654971921506, 0.38765315735945477, 0.09143944784930985, 0.27221347464170925, -0.013410742118139751, 0.29604529957820586, 0.06924574704122885, 0.09611048637949958, 0.034113468528751884, 0.3458788249078983, 0.12523438939242623, 0.10224205925284574, -0.16461022650643523, -0.01791604386283628, 0.03253876430098899]
709.103
Detection of long-lived staus and gravitinos at the ILC
A study is presented illustrating the excellent potential of future International Linear Collider (ILC) experiments to detect metastable staus $\stau$, measure precisely their mass and lifetime, and to determine the mass of the gravitino $\sG$ from the decay $\stau\to\tau\sG$, thus providing direct access to the gravitational coupling, respectively Planck scale.
hep-ph
a study is presented illustrating the excellent potential of future international linear collider ilc experiments to detect metastable staus stau measure precisely their mass and lifetime and to determine the mass of the gravitino sg from the decay stautotausg thus providing direct access to the gravitational coupling respectively planck scale
[['a', 'study', 'is', 'presented', 'illustrating', 'the', 'excellent', 'potential', 'of', 'future', 'international', 'linear', 'collider', 'ilc', 'experiments', 'to', 'detect', 'metastable', 'staus', 'stau', 'measure', 'precisely', 'their', 'mass', 'and', 'lifetime', 'and', 'to', 'determine', 'the', 'mass', 'of', 'the', 'gravitino', 'sg', 'from', 'the', 'decay', 'stautotausg', 'thus', 'providing', 'direct', 'access', 'to', 'the', 'gravitational', 'coupling', 'respectively', 'planck', 'scale']]
[-0.11615325280106437, 0.18732759632094173, -0.039779060653277805, 0.16111613633538768, -0.10559262098193321, -0.1586909979648356, 0.03589566010145508, 0.31502873868662484, -0.27306556920235864, -0.304246846557956, 0.1149278848612567, -0.29832956058030224, 0.04179623234560903, 0.1897510530579151, 0.09552190224735105, 0.10326044529448358, 0.08267364035151442, -4.007878276158352e-05, -0.04603852942699985, -0.23006826388288518, 0.23225163354785466, 0.1876877505256205, 0.193579372094602, 0.12894311570087258, 0.04519092529175841, -0.054475001068975855, -0.07724187070769924, -0.05865149589597571, -0.1644175918766877, 0.0890798763828162, 0.23848911895587735, 0.12354933945652173, 0.16487801534941002, -0.33372516267248714, -0.13169776963792285, 0.19194889327093045, 0.1119588398925808, 0.06734224707743496, -0.11275338820580925, -0.34974407206992714, 0.0871750769117486, -0.2087865257968328, -0.15800293253696696, -0.056927661297424714, 0.029700348153710365, -0.059095607543060064, -0.29819861795677216, 0.07879092901165845, -0.10854233910652752, -0.04355416152322171, -0.050983334188254514, -0.1089648458232381, -0.08481720953761619, 0.04144057978362757, 0.12407679250939008, -0.012153457969008965, 0.19168601235450836, -0.12784668514314962, -0.1441895331503177, 0.4018858669667828, -0.12156167002964993, -0.08108329723532103, 0.20612608629982082, -0.2068816836144091, -0.08663005158020069, 0.09948694002719558, 0.2592559049704245, 0.03791191672184029, -0.1541941642229046, 0.14058665611676643, 0.025117864927314982, 0.21040004172495433, 0.09419501334789912, 0.06777240089806062, 0.3090091980233484, 0.26848069183072265, 0.11740130096749991, 0.06455566167679368, -0.09125827370705653, -0.06083143269168023, -0.3429322206244177, -0.14306884004297304, -0.1042208594022965, 0.03506477708377096, -0.06323788806971885, -0.08491502424740062, 0.388767541253141, 0.16222686424604332, 0.24207197452838325, 0.06570939432677565, 0.30801502877504244, 0.044539844752669484, 0.0724397131523393, -0.03078731772286713, 0.3753837906584448, 0.15492170258444182, 0.09981275336550814, -0.32380324999839827, -0.056801394369377166, -0.001541428895173024]
709.1031
How to Detect `Decoupled' Heavy Supersymmetric Higgs Bosons
Heretofore neglected decay modes of heavy MSSM Higgs bosons into a variety of neutralino pairs may push the LHC discovery reach for these crucial elements of an extended Higgs sector to nearly the TeV-scale -- if sparticle-sector MSSM input parameters are favorable. This is well into the so-called decoupling region, including moderate to low tan(beta) values, where no known signals exist for said heavy Higgs bosons via decays involving solely SM daughter particles, and the lighter h^0 mimics the lone SM Higgs boson. While the expanse of the Higgs to sparticle discovery region is sensitive to a number of MSSM parameters, including in particular those for the sleptons, its presence is primarily linked to the gaugino inputs -- in fact, to just one parameter, M_2, if gaugino unification is invoked. Thus consideration of high vs. low M_2 realms in the MSSM should be placed on a par with the extensive consideration already given to high vs. low tan(beta) regimes.
hep-ph
heretofore neglected decay modes of heavy mssm higgs bosons into a variety of neutralino pairs may push the lhc discovery reach for these crucial elements of an extended higgs sector to nearly the tevscale if sparticlesector mssm input parameters are favorable this is well into the socalled decoupling region including moderate to low tanbeta values where no known signals exist for said heavy higgs bosons via decays involving solely sm daughter particles and the lighter h0 mimics the lone sm higgs boson while the expanse of the higgs to sparticle discovery region is sensitive to a number of mssm parameters including in particular those for the sleptons its presence is primarily linked to the gaugino inputs in fact to just one parameter m_2 if gaugino unification is invoked thus consideration of high vs low m_2 realms in the mssm should be placed on a par with the extensive consideration already given to high vs low tanbeta regimes
[['heretofore', 'neglected', 'decay', 'modes', 'of', 'heavy', 'mssm', 'higgs', 'bosons', 'into', 'a', 'variety', 'of', 'neutralino', 'pairs', 'may', 'push', 'the', 'lhc', 'discovery', 'reach', 'for', 'these', 'crucial', 'elements', 'of', 'an', 'extended', 'higgs', 'sector', 'to', 'nearly', 'the', 'tevscale', 'if', 'sparticlesector', 'mssm', 'input', 'parameters', 'are', 'favorable', 'this', 'is', 'well', 'into', 'the', 'socalled', 'decoupling', 'region', 'including', 'moderate', 'to', 'low', 'tanbeta', 'values', 'where', 'no', 'known', 'signals', 'exist', 'for', 'said', 'heavy', 'higgs', 'bosons', 'via', 'decays', 'involving', 'solely', 'sm', 'daughter', 'particles', 'and', 'the', 'lighter', 'h0', 'mimics', 'the', 'lone', 'sm', 'higgs', 'boson', 'while', 'the', 'expanse', 'of', 'the', 'higgs', 'to', 'sparticle', 'discovery', 'region', 'is', 'sensitive', 'to', 'a', 'number', 'of', 'mssm', 'parameters', 'including', 'in', 'particular', 'those', 'for', 'the', 'sleptons', 'its', 'presence', 'is', 'primarily', 'linked', 'to', 'the', 'gaugino', 'inputs', 'in', 'fact', 'to', 'just', 'one', 'parameter', 'm_2', 'if', 'gaugino', 'unification', 'is', 'invoked', 'thus', 'consideration', 'of', 'high', 'vs', 'low', 'm_2', 'realms', 'in', 'the', 'mssm', 'should', 'be', 'placed', 'on', 'a', 'par', 'with', 'the', 'extensive', 'consideration', 'already', 'given', 'to', 'high', 'vs', 'low', 'tanbeta', 'regimes']]
[-0.10788723221645714, 0.30874853430531146, 0.015479052310976654, 0.18519037115635376, -0.12069475742277856, -0.24214308985317937, 0.055569280796006724, 0.29059677231961334, -0.22120029270613137, -0.2916893851286612, 0.036955354997189716, -0.2600038380161352, 0.027293703214337047, 0.1427747913451943, -0.013824982685410084, 0.04065992816499485, 0.07152304025546002, 0.011166861218859991, -0.03783572085488301, -0.2909043575651968, 0.26092149588303304, 0.027894641462271698, 0.17814864845217343, 0.060920877423949346, 0.0449288046979629, 0.007940052914469002, 0.04459088468231643, -0.11367702210480228, -0.10223585403022858, 0.06693547663804239, 0.2159939362086917, 0.06921508789967518, 0.1493685733503065, -0.3058882783628248, -0.15228118109278, 0.22559879405964287, 0.22341441971142417, 0.05516311383465878, -0.07903620258693057, -0.32696570633486727, 0.13996785868687603, -0.19244787689650622, -0.07527234080659512, -0.03988330586043258, -0.062470980699006945, -0.1469946005355525, -0.35584221393778886, 0.060714819468557835, -0.0761276289263967, 0.015730550706697006, 0.020442686162333794, -0.19920135750315893, -0.1197759679429836, 0.006389073824557738, 0.2117656544888189, -0.027466245440360255, 0.18303388362535492, -0.23532316270015705, -0.08872484742926481, 0.44897402782972234, -0.07885564445332886, -0.1719727998969551, 0.22654331797578683, -0.1727162145737869, -0.14903781212137218, 0.15879401300723353, 0.19184636367628208, 0.07251839097051953, -0.12984578860087845, 0.21684121523960642, -0.021736757829785347, 0.18276921605977875, 0.04834828515931104, 0.09710941092597726, 0.30369165390789604, 0.1916020905400495, 0.05155489318825018, 0.04917499151316662, -0.041339630906198487, -0.10233956897326817, -0.40827669220706386, -0.11439253351851128, -0.056191179829721265, -0.003195791212186659, -0.07383716345728504, -0.11842270092202876, 0.36147012810509366, 0.0869755648555628, 0.29338942245783234, -0.030724873026021015, 0.3042115423976121, 0.06790843391373085, 0.11237365385004057, 0.0014818820069567896, 0.3529331182093861, 0.12036482381741874, 0.08400254022741976, -0.18571607600442336, 0.01598820157531195, 0.07240769296955617]
709.1032
Weyl asymptotics for magnetic Schr\"odinger operators and de Gennes' boundary condition
This paper is concerned with the discrete spectrum of the self-adjoint realization of the semi-classical Schr\"odinger operator with constant magnetic field and associated with the de Gennes (Fourier/Robin) boundary condition. We derive an asymptotic expansion of the number of eigenvalues below the essential spectrum (Weyl-type asymptotics). The methods of proof relies on results concerning the asymptotic behavior of the first eigenvalue obtained in a previous work [A. Kachmar, J. Math. Phys. Vol. 47 (7) 072106 (2006)].
math.SP
this paper is concerned with the discrete spectrum of the selfadjoint realization of the semiclassical schrodinger operator with constant magnetic field and associated with the de gennes fourierrobin boundary condition we derive an asymptotic expansion of the number of eigenvalues below the essential spectrum weyltype asymptotics the methods of proof relies on results concerning the asymptotic behavior of the first eigenvalue obtained in a previous work a kachmar j math phys vol 47 7 072106 2006
[['this', 'paper', 'is', 'concerned', 'with', 'the', 'discrete', 'spectrum', 'of', 'the', 'selfadjoint', 'realization', 'of', 'the', 'semiclassical', 'schrodinger', 'operator', 'with', 'constant', 'magnetic', 'field', 'and', 'associated', 'with', 'the', 'de', 'gennes', 'fourierrobin', 'boundary', 'condition', 'we', 'derive', 'an', 'asymptotic', 'expansion', 'of', 'the', 'number', 'of', 'eigenvalues', 'below', 'the', 'essential', 'spectrum', 'weyltype', 'asymptotics', 'the', 'methods', 'of', 'proof', 'relies', 'on', 'results', 'concerning', 'the', 'asymptotic', 'behavior', 'of', 'the', 'first', 'eigenvalue', 'obtained', 'in', 'a', 'previous', 'work', 'a', 'kachmar', 'j', 'math', 'phys', 'vol', '47', '7', '072106', '2006']]
[-0.15525537285290353, 0.05199194003126986, -0.0934394610254732, -0.03584563006225922, -0.09696255657464674, -0.06346831252568796, -0.000173763587292641, 0.2540758942215614, -0.1596859020407452, -0.30991990662702956, 0.09170819960585604, -0.2859460665997475, -0.15010760295880984, 0.1602113164789107, -0.07634646884382587, 0.08291216059396528, 0.05262350136643811, 0.06449721240173796, -0.051725907366059413, -0.19241579262259073, 0.3401595236963197, 0.07606819578229565, 0.2641471402471636, 0.06526360272952955, 0.04582733965529869, 0.0400021193383185, -0.05257271725225122, -0.06362014335312255, -0.2372341981948647, 0.14550940443008933, 0.2227743096483795, 0.0060473318619985285, 0.26715782774637825, -0.3913434402481334, -0.16142745544553466, 0.11949405307588104, 0.13202565405772973, 0.07991977826985594, 0.02073247733761952, -0.3232389211858789, 0.06066124601854164, -0.12566884901144937, -0.23410283978262994, -0.023295748506813017, 0.03547515107274107, 0.009376882189527562, -0.2781841893846246, 0.1745682873520745, 0.12714267940234955, 0.11682551462611515, -0.11037578921739573, -0.1502993673035135, 0.002108940510206843, 0.030085040301033487, 0.0466734575815754, -0.025721706917241523, 0.023102086503058672, -0.06675796860459018, -0.113465448726632, 0.2990113670542224, -0.08155533030297454, -0.1443037573401242, 0.14313394219091494, -0.14382063778123677, -0.13158051445697472, 0.0996793676614251, 0.09456324206078298, 0.17991440322199095, -0.12042614461675491, 0.24799801390028037, -0.05317861227516391, 0.12847601855173707, 0.10844823228169793, 0.020390058159573028, 0.0784805757790957, 0.09104458419988824, 0.06056840539182702, 0.0988891376086753, -0.025287819122863705, -0.1116662219626038, -0.37959576879742823, -0.16687811769494046, -0.2674783647494161, 0.11765997903421521, -0.07438851134474421, -0.21987159580808796, 0.4111478477971603, 0.12089042504611489, 0.21106991757581342, 0.07643301885779182, 0.1889134710271881, 0.2049763330245671, -0.08562444043600906, 0.1359226549720417, 0.21408804003404427, 0.24192008991049577, 0.18331519301904187, -0.2503118155307251, -0.0720154106160881, 0.1810820345218255]
709.1033
The investigation of particle acceleration in colliding-wind massive binaries with SIMBOL-X
An increasing number of early-type (O and Wolf-Rayet) colliding wind binaries (CWBs) is known to accelerate particles up to relativistic energies. In this context, non-thermal emission processes such as inverse Compton (IC) scattering are expected to produce a high energy spectrum, in addition to the strong thermal emission from the shock-heated plasma. SIMBOL-X will be the ideal observatory to investigate the hard X-ray spectrum (above 10 keV) of these systems, i.e. where it is no longer dominated by the thermal emission. Such observations are strongly needed to constrain the models aimed at understanding the physics of particle acceleration in CWB. Such systems are important laboratories for investigating the underlying physics of particle acceleration at high Mach number shocks, and probe a different region of parameter space than studies of supernova remnants.
astro-ph
an increasing number of earlytype o and wolfrayet colliding wind binaries cwbs is known to accelerate particles up to relativistic energies in this context nonthermal emission processes such as inverse compton ic scattering are expected to produce a high energy spectrum in addition to the strong thermal emission from the shockheated plasma simbolx will be the ideal observatory to investigate the hard xray spectrum above 10 kev of these systems ie where it is no longer dominated by the thermal emission such observations are strongly needed to constrain the models aimed at understanding the physics of particle acceleration in cwb such systems are important laboratories for investigating the underlying physics of particle acceleration at high mach number shocks and probe a different region of parameter space than studies of supernova remnants
[['an', 'increasing', 'number', 'of', 'earlytype', 'o', 'and', 'wolfrayet', 'colliding', 'wind', 'binaries', 'cwbs', 'is', 'known', 'to', 'accelerate', 'particles', 'up', 'to', 'relativistic', 'energies', 'in', 'this', 'context', 'nonthermal', 'emission', 'processes', 'such', 'as', 'inverse', 'compton', 'ic', 'scattering', 'are', 'expected', 'to', 'produce', 'a', 'high', 'energy', 'spectrum', 'in', 'addition', 'to', 'the', 'strong', 'thermal', 'emission', 'from', 'the', 'shockheated', 'plasma', 'simbolx', 'will', 'be', 'the', 'ideal', 'observatory', 'to', 'investigate', 'the', 'hard', 'xray', 'spectrum', 'above', '10', 'kev', 'of', 'these', 'systems', 'ie', 'where', 'it', 'is', 'no', 'longer', 'dominated', 'by', 'the', 'thermal', 'emission', 'such', 'observations', 'are', 'strongly', 'needed', 'to', 'constrain', 'the', 'models', 'aimed', 'at', 'understanding', 'the', 'physics', 'of', 'particle', 'acceleration', 'in', 'cwb', 'such', 'systems', 'are', 'important', 'laboratories', 'for', 'investigating', 'the', 'underlying', 'physics', 'of', 'particle', 'acceleration', 'at', 'high', 'mach', 'number', 'shocks', 'and', 'probe', 'a', 'different', 'region', 'of', 'parameter', 'space', 'than', 'studies', 'of', 'supernova', 'remnants']]
[-0.05736894279057231, 0.21329623842285325, -0.02847020215361969, 0.1684983360895688, -0.08072721556838573, -0.09827681117556022, -0.022340335826325507, 0.39559419362144616, -0.24945391402117736, -0.37138109430955113, 0.03884688369976001, -0.30858908146122144, 0.04019354464386711, 0.24105044215284857, 0.04680321416315509, -0.012514851304865975, 0.05356596655901948, -0.0632108930100239, 0.0053486153998817424, -0.16937457840669304, 0.2930644862460442, 0.19765399814981482, 0.17606521740854356, 0.03958846115016641, 0.05748637341929756, -0.069541932025903, -0.030472816539508868, -0.02422104758776561, -0.09098568538109192, 0.03220803739204434, 0.258840331824645, 0.11396877489982259, 0.203750912192498, -0.40791763837328393, -0.2677541399189762, 0.11168807778482588, 0.20134938930211063, 0.013507964285908138, -0.04793965470273304, -0.22523606708628757, 0.03423235635695275, -0.1884122422348907, -0.19643831439671738, 0.03462437086006385, 0.01372426844340614, 0.04581050202072747, -0.22704104858073798, 0.07002379941462561, 0.022211466931012808, 0.02768836375894665, -0.08391763471984055, -0.06548267410613084, -0.005220265813769048, 0.033625775402525565, 0.07099800302028542, 0.03259785939363464, 0.18233760653191622, -0.18600146419667277, -0.07736579346548737, 0.44807167619978655, -0.005675294090489828, -0.014843838566644046, 0.3077640687257677, -0.2412377446712144, -0.15738663201767752, 0.23486388095064473, 0.1934667322073729, 0.09652691939845681, -0.14400761621872687, 0.03199381387938269, 0.01751910390524293, 0.16490408359761954, 0.03579723823949773, 0.07721795151633333, 0.30616039428362296, 0.1497776390218624, -0.0002250614298777726, 0.11091820684435799, -0.16864903986752602, -0.030262056393335568, -0.2665482414353155, -0.12571323160366474, -0.14589984036399095, 0.09523894543979915, -0.09077401045076229, -0.127490985145053, 0.309944387909224, 0.14076454894802043, 0.1532840067938411, -0.05678857109537846, 0.31196054324280215, 0.12726403240964015, 0.022261307237115297, 0.13588488367137336, 0.3217362654964148, 0.15721377198058287, 0.11917541109252977, -0.24475863485469107, 0.04135726745602966, -0.0025590586525793295]
709.1034
Heat kernel estimates and spectral properties of a pseudorelativistic operator with magnetic field
Based on the Mehler heat kernel of the Schroedinger operator for a free electron in a constant magnetic field an estimate for the kernel of E_A is derived, where E_A represents the kinetic energy of a Dirac electron within the pseudorelativistic no-pair Brown-Ravenhall model. This estimate is used to provide the bottom of the essential spectrum for the two-particle Brown-Ravenhall operator, describing the motion of the electrons in a central Coulomb field and a constant magnetic field, if the central charge is restricted to Z below or equal 86.
math-ph math.MP math.SP
based on the mehler heat kernel of the schroedinger operator for a free electron in a constant magnetic field an estimate for the kernel of e_a is derived where e_a represents the kinetic energy of a dirac electron within the pseudorelativistic nopair brownravenhall model this estimate is used to provide the bottom of the essential spectrum for the twoparticle brownravenhall operator describing the motion of the electrons in a central coulomb field and a constant magnetic field if the central charge is restricted to z below or equal 86
[['based', 'on', 'the', 'mehler', 'heat', 'kernel', 'of', 'the', 'schroedinger', 'operator', 'for', 'a', 'free', 'electron', 'in', 'a', 'constant', 'magnetic', 'field', 'an', 'estimate', 'for', 'the', 'kernel', 'of', 'e_a', 'is', 'derived', 'where', 'e_a', 'represents', 'the', 'kinetic', 'energy', 'of', 'a', 'dirac', 'electron', 'within', 'the', 'pseudorelativistic', 'nopair', 'brownravenhall', 'model', 'this', 'estimate', 'is', 'used', 'to', 'provide', 'the', 'bottom', 'of', 'the', 'essential', 'spectrum', 'for', 'the', 'twoparticle', 'brownravenhall', 'operator', 'describing', 'the', 'motion', 'of', 'the', 'electrons', 'in', 'a', 'central', 'coulomb', 'field', 'and', 'a', 'constant', 'magnetic', 'field', 'if', 'the', 'central', 'charge', 'is', 'restricted', 'to', 'z', 'below', 'or', 'equal', '86']]
[-0.11374521618604325, 0.15952659793622567, -0.03214044995564089, 0.09897316042386163, -0.023996547131349195, -0.11730513597702545, 0.013097989325819726, 0.3014800923803214, -0.23784505166741235, -0.24612376974958383, 0.018984054045207546, -0.2860820045841209, -0.018598216657757006, 0.18705584602221176, 0.04825738411176991, 0.01725074876978826, -0.004718918842525127, 0.1416777539713795, -0.06555651783357176, -0.11518624368427174, 0.33957803892913496, 0.07005594796344136, 0.20718090487330149, 0.1147823028653609, 0.12175339595362376, 0.06040572995330427, 0.04297705993495798, -0.01733561863683248, -0.13299682787671852, 0.12203486324444915, 0.17599679668842072, -0.03359105852903443, 0.2691767327958362, -0.41235093169667747, -0.19037904662702734, 0.09546077648554457, 0.1363546351452222, 0.06287604681310359, -0.05254529808056698, -0.24090448603703735, 0.048103587639130904, -0.15046926803384605, -0.1772282330654143, -0.018220210740907808, 0.03986167642837286, 0.015552832969998041, -0.3262469202510259, 0.1448756332556309, 0.061222619628219795, 0.012912338655481241, -0.1304689815602778, -0.12284109047143145, -0.042558830043070775, 0.0917934112883895, 0.01256697108116252, 0.09486079328134918, 0.1492692931565676, -0.15309779728720949, -0.07144560805113798, 0.3776102012881402, -0.09454548047081138, -0.21781381500068675, 0.10038502233395918, -0.18346307866845615, -0.0421193547525935, 0.15385474726097303, 0.11403744964954558, 0.10269154791898105, -0.17696874937189094, 0.18595797936837555, -0.051592250783624276, 0.13280620774923918, 0.02084301750364012, -0.0009196069708952073, 0.18380672053834213, 0.12887326445890945, 0.09275572277145104, 0.09802050948184862, -0.11250983504840079, -0.07296274729292798, -0.349787234674009, -0.20030263494804837, -0.2427587164356635, 0.11048706176198936, -0.09753996448240143, -0.21654593971756736, 0.4400274958190105, 0.11380766956868131, 0.19898914300255854, -0.028675583761520265, 0.24449997483177133, 0.2350769465831056, 0.07004272494088398, 0.11144509751956617, 0.23698058099946362, 0.22609884268342612, 0.1078649491275755, -0.2614480238250886, -0.06315381019742469, 0.13637638887327708]