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 |
|---|---|---|---|---|---|---|
710.3853 | Hopf modules for autonomous pseudomonoids and the monoidal centre | In this work we develop some aspects of the theory of Hopf algebras to the
context of autonomous map pseudomonoids. We concentrate in the Hopf modules and
the Centre or Drinfel'd double. If $A$ is a map pseudomonoid in a monoidal
bicategory \M, the analogue of the category of Hopf modules for $A$ is an
Eilenberg-Moore construction for a certain monad in
$\mathbf{Hom}(\M^{\mathrm{op}},\mathbf{Cat})$. We study the existence of the
internalisation of this notion, called the Hopf module construction, by
extending the completion under Eilenberg-Moore objects of a 2-category to a
endo-homomorphism of tricategories on $\mathbf{Bicat}$.
Our main result is the equivalence between the existence of a left
dualization for $A$ ({\em i.e.}, $A$ is left autonomous) and the validity of an
analogue of the structure theorem of Hopf modules. In this case the Hopf module
construction for $A$ always exists.
We use these results to study the lax centre of a left autonomous map
pseudomonoid. We show that the lax centre is the Eilenberg-Moore construction
for a certain monad on $A$ (one existing if the other does). If $A$ is also
right autonomous, then the lax centre equals the centre. We look at the
examples of the bicategories of \V-modules and of comodules in \V, and obtain
the Drinfel'd double of a coquasi-Hopf algebra $H$ as the centre of $H$.
| math.CT math.QA | in this work we develop some aspects of the theory of hopf algebras to the context of autonomous map pseudomonoids we concentrate in the hopf modules and the centre or drinfeld double if a is a map pseudomonoid in a monoidal bicategory m the analogue of the category of hopf modules for a is an eilenbergmoore construction for a certain monad in mathbfhommmathrmopmathbfcat we study the existence of the internalisation of this notion called the hopf module construction by extending the completion under eilenbergmoore objects of a 2category to a endohomomorphism of tricategories on mathbfbicat our main result is the equivalence between the existence of a left dualization for a em ie a is left autonomous and the validity of an analogue of the structure theorem of hopf modules in this case the hopf module construction for a always exists we use these results to study the lax centre of a left autonomous map pseudomonoid we show that the lax centre is the eilenbergmoore construction for a certain monad on a one existing if the other does if a is also right autonomous then the lax centre equals the centre we look at the examples of the bicategories of vmodules and of comodules in v and obtain the drinfeld double of a coquasihopf algebra h as the centre of h | [['in', 'this', 'work', 'we', 'develop', 'some', 'aspects', 'of', 'the', 'theory', 'of', 'hopf', 'algebras', 'to', 'the', 'context', 'of', 'autonomous', 'map', 'pseudomonoids', 'we', 'concentrate', 'in', 'the', 'hopf', 'modules', 'and', 'the', 'centre', 'or', 'drinfeld', 'double', 'if', 'a', 'is', 'a', 'map', 'pseudomonoid', 'in', 'a', 'monoidal', 'bicategory', 'm', 'the', 'analogue', 'of', 'the', 'category', 'of', 'hopf', 'modules', 'for', 'a', 'is', 'an', 'eilenbergmoore', 'construction', 'for', 'a', 'certain', 'monad', 'in', 'mathbfhommmathrmopmathbfcat', 'we', 'study', 'the', 'existence', 'of', 'the', 'internalisation', 'of', 'this', 'notion', 'called', 'the', 'hopf', 'module', 'construction', 'by', 'extending', 'the', 'completion', 'under', 'eilenbergmoore', 'objects', 'of', 'a', '2category', 'to', 'a', 'endohomomorphism', 'of', 'tricategories', 'on', 'mathbfbicat', 'our', 'main', 'result', 'is', 'the', 'equivalence', 'between', 'the', 'existence', 'of', 'a', 'left', 'dualization', 'for', 'a', 'em', 'ie', 'a', 'is', 'left', 'autonomous', 'and', 'the', 'validity', 'of', 'an', 'analogue', 'of', 'the', 'structure', 'theorem', 'of', 'hopf', 'modules', 'in', 'this', 'case', 'the', 'hopf', 'module', 'construction', 'for', 'a', 'always', 'exists', 'we', 'use', 'these', 'results', 'to', 'study', 'the', 'lax', 'centre', 'of', 'a', 'left', 'autonomous', 'map', 'pseudomonoid', 'we', 'show', 'that', 'the', 'lax', 'centre', 'is', 'the', 'eilenbergmoore', 'construction', 'for', 'a', 'certain', 'monad', 'on', 'a', 'one', 'existing', 'if', 'the', 'other', 'does', 'if', 'a', 'is', 'also', 'right', 'autonomous', 'then', 'the', 'lax', 'centre', 'equals', 'the', 'centre', 'we', 'look', 'at', 'the', 'examples', 'of', 'the', 'bicategories', 'of', 'vmodules', 'and', 'of', 'comodules', 'in', 'v', 'and', 'obtain', 'the', 'drinfeld', 'double', 'of', 'a', 'coquasihopf', 'algebra', 'h', 'as', 'the', 'centre', 'of', 'h']] | [-0.16431957094000946, 0.029307539878371043, -0.07357276535670583, 0.0784307313361852, -0.10493772789508242, -0.10928255332961541, 0.0059918035312202175, 0.33824366845483717, -0.3711275893793855, -0.1751050711932799, 0.12771423603084664, -0.20928700960724167, -0.15824907092718166, 0.1796370179185437, -0.15230952896106625, -0.0938784748734044, 0.09598697238187823, 0.14494985172576788, -0.09522673218075565, -0.20230577821752782, 0.43785663973971234, 0.029879999707595237, 0.23053802582392194, 0.02403192203012252, 0.150011477235239, 0.020197880061729206, 0.005182534589915088, -0.03678655248411276, -0.15019677214058902, 0.1192770440075374, 0.26916638457354297, 0.10929742447290293, 0.25054196349756913, -0.32074044100698773, -0.06456652306466519, 0.15641984510821877, 0.11042139226036077, 0.06381891833411323, -0.0416807526257967, -0.3072302703458937, 0.1322304241454091, -0.25110721161709754, -0.11081672410903222, -0.008250908361838406, 0.0924014196412086, 0.012515333681626039, -0.24933854269248615, -0.045683503175866835, 0.14273626092472114, 0.09341582838614057, -0.11186558056915938, -0.013222137450982161, -0.08432608737321398, 0.1064094312767136, -0.06407108464217917, 0.008788609829800273, 0.13014752646321776, -0.13917286767671747, -0.1607609938644735, 0.35662020097866104, -0.05323882784728927, -0.1847741590830049, 0.14709607821229534, -0.14522972067654202, -0.172319841372815, 0.08385107995881871, 0.029244269688475738, 0.139995059770256, -0.06679919422889792, 0.18845821292187018, -0.16247016477778, 0.05765201596982984, 0.10126763760517524, -0.006835902028628711, 0.17819517835569396, 0.16469286670434047, 0.09280335171907036, 0.15144907301254096, -0.027616035764502292, -0.04676265940105185, -0.37705615957922956, -0.2272346910629292, -0.05130587281072857, 0.10977365899755871, -0.035943882182807474, -0.18937517793555916, 0.4139407194711061, 0.13930156036965652, 0.2026646008938163, 0.10811511431906924, 0.23260687407768005, 0.06386842664559716, 0.10388300498878514, 0.021507987338635657, 0.18126152811156418, 0.2511286707088369, 0.05784416341662614, -0.11572421016387159, -0.05938875396882563, 0.2110003836332234] |
710.3854 | Models for the Observable System Parameters of Ultraluminous X-ray
Sources | We investigate the evolution of the properties of model populations of
ultraluminous X-ray sources (ULXs) consisting of a black-hole accretor in a
binary with a donor star. We have computed models corresponding to three
different populations of black-hole binaries; two invoke stellar-mass (~10
Msun) black hole accretors, and the third utilizes intermediate-mass (~1000
Msun) black holes (IMBHs). For each of the three populations, we computed
30,000 binary evolution sequences using a full Henyey stellar evolution code.
The optical flux from the model ULXs includes contributions from the accretion
disk, due to x-ray irradiation as well as intrinsic viscous heating, and that
due to the donor star. We present "probability images" for the ULX systems in
planes of color-magnitude, orbital period vs. X-ray luminosity, and luminosity
vs. evolution time. Estimates of the numbers of ULXs in a typical galaxy as
functions of time and of X-ray luminosity are also presented. Our model CMDs
are compared with six ULX counterparts that have been discussed in the
literature. Overall, the observed systems seem more closely related to model
systems with very high-mass donors (> ~25 Msun) in binaries with IMBH
accretors. However, significant difficulties remain with both the IMBH and
stellar-mass black hole models.
| astro-ph | we investigate the evolution of the properties of model populations of ultraluminous xray sources ulxs consisting of a blackhole accretor in a binary with a donor star we have computed models corresponding to three different populations of blackhole binaries two invoke stellarmass 10 msun black hole accretors and the third utilizes intermediatemass 1000 msun black holes imbhs for each of the three populations we computed 30000 binary evolution sequences using a full henyey stellar evolution code the optical flux from the model ulxs includes contributions from the accretion disk due to xray irradiation as well as intrinsic viscous heating and that due to the donor star we present probability images for the ulx systems in planes of colormagnitude orbital period vs xray luminosity and luminosity vs evolution time estimates of the numbers of ulxs in a typical galaxy as functions of time and of xray luminosity are also presented our model cmds are compared with six ulx counterparts that have been discussed in the literature overall the observed systems seem more closely related to model systems with very highmass donors 25 msun in binaries with imbh accretors however significant difficulties remain with both the imbh and stellarmass black hole models | [['we', 'investigate', 'the', 'evolution', 'of', 'the', 'properties', 'of', 'model', 'populations', 'of', 'ultraluminous', 'xray', 'sources', 'ulxs', 'consisting', 'of', 'a', 'blackhole', 'accretor', 'in', 'a', 'binary', 'with', 'a', 'donor', 'star', 'we', 'have', 'computed', 'models', 'corresponding', 'to', 'three', 'different', 'populations', 'of', 'blackhole', 'binaries', 'two', 'invoke', 'stellarmass', '10', 'msun', 'black', 'hole', 'accretors', 'and', 'the', 'third', 'utilizes', 'intermediatemass', '1000', 'msun', 'black', 'holes', 'imbhs', 'for', 'each', 'of', 'the', 'three', 'populations', 'we', 'computed', '30000', 'binary', 'evolution', 'sequences', 'using', 'a', 'full', 'henyey', 'stellar', 'evolution', 'code', 'the', 'optical', 'flux', 'from', 'the', 'model', 'ulxs', 'includes', 'contributions', 'from', 'the', 'accretion', 'disk', 'due', 'to', 'xray', 'irradiation', 'as', 'well', 'as', 'intrinsic', 'viscous', 'heating', 'and', 'that', 'due', 'to', 'the', 'donor', 'star', 'we', 'present', 'probability', 'images', 'for', 'the', 'ulx', 'systems', 'in', 'planes', 'of', 'colormagnitude', 'orbital', 'period', 'vs', 'xray', 'luminosity', 'and', 'luminosity', 'vs', 'evolution', 'time', 'estimates', 'of', 'the', 'numbers', 'of', 'ulxs', 'in', 'a', 'typical', 'galaxy', 'as', 'functions', 'of', 'time', 'and', 'of', 'xray', 'luminosity', 'are', 'also', 'presented', 'our', 'model', 'cmds', 'are', 'compared', 'with', 'six', 'ulx', 'counterparts', 'that', 'have', 'been', 'discussed', 'in', 'the', 'literature', 'overall', 'the', 'observed', 'systems', 'seem', 'more', 'closely', 'related', 'to', 'model', 'systems', 'with', 'very', 'highmass', 'donors', '25', 'msun', 'in', 'binaries', 'with', 'imbh', 'accretors', 'however', 'significant', 'difficulties', 'remain', 'with', 'both', 'the', 'imbh', 'and', 'stellarmass', 'black', 'hole', 'models']] | [-0.06979313424613792, 0.07397914363362361, -0.03556451024538546, 0.1903471822850406, -0.06051124985096976, -0.0934116985136643, 0.07021821975242347, 0.4377767095901072, -0.09482674925588071, -0.384609491978772, 0.07992006657121237, -0.3548349537095055, -0.007460612640716136, 0.25079704716801643, -0.06769036033656448, 0.03274554317817092, 0.0931915795011446, -0.0829241979541257, -0.0946475658181589, -0.28062152517959477, 0.3518213144969195, 0.022218276006169616, 0.09872222906909883, -0.09914469583425671, 0.082905577103229, -0.07991070852032862, -0.012221351192129077, -0.06113556016469374, -0.12771141606885067, 0.022977538492996247, 0.2689559576665124, 0.14003558877971956, 0.19815986790694295, -0.36501990790478883, -0.2193522461783141, 0.038306904984638096, 0.2110187944828067, 0.059071396836079655, -0.1123908851613669, -0.18760425406624562, 0.05029771028086543, -0.2843560251989402, -0.1286917577078566, 0.07615778530947864, 0.07293538648227696, 0.06366065332375001, -0.1845948007586412, 0.18064968493170455, 0.03838251209410373, 0.0047204953955952075, -0.21567878418369218, -0.07457305141724646, -0.08133068741182797, 0.06961699669947848, 0.08505759281339124, 0.07370372614823281, 0.17374681754037738, -0.11317746180575342, -0.12118049474316649, 0.3776555680553429, -0.022079175459221004, -0.016311029032804073, 0.25717433460988104, -0.24809580881381407, -0.16871212113182993, 0.11347114966949448, 0.1715592229925096, 0.17128353816704475, -0.2006741929007694, -0.018274819875659886, 0.023767438014037908, 0.2699936489085667, 0.028601874618034345, 0.10823377256405366, 0.43149493999779226, 0.132287797506433, -0.07534504165523685, 0.14841180311283098, -0.2005033314787579, -0.037940490511246025, -0.1628628365509212, -0.041516284942626956, -0.10777344126487151, 0.13571647561271674, -0.16808720690394693, -0.16288911762851058, 0.31965409870492295, 0.09964598273858429, 0.22013693979009985, 0.03837718520546332, 0.2643093208954997, 0.1066715502543957, 0.08202669260128459, 0.1391711906634737, 0.30183790061157195, 0.18809383199433796, 0.09298595414031297, -0.27783368998439983, 0.04577809834707296, 0.005574422114295885] |
710.3855 | Extraction of Singlet States from Noninteracting High-Dimensional Spins | We present a scheme for the extraction of singlet states of two remote
particles of arbitrary quantum spin number. The goal is achieved through
post-selection of the state of interaction mediators sent in succession. A
small number of iterations is sufficient to make the scheme effective. We
propose two suitable experimental setups where the protocol can be implemented.
| quant-ph | we present a scheme for the extraction of singlet states of two remote particles of arbitrary quantum spin number the goal is achieved through postselection of the state of interaction mediators sent in succession a small number of iterations is sufficient to make the scheme effective we propose two suitable experimental setups where the protocol can be implemented | [['we', 'present', 'a', 'scheme', 'for', 'the', 'extraction', 'of', 'singlet', 'states', 'of', 'two', 'remote', 'particles', 'of', 'arbitrary', 'quantum', 'spin', 'number', 'the', 'goal', 'is', 'achieved', 'through', 'postselection', 'of', 'the', 'state', 'of', 'interaction', 'mediators', 'sent', 'in', 'succession', 'a', 'small', 'number', 'of', 'iterations', 'is', 'sufficient', 'to', 'make', 'the', 'scheme', 'effective', 'we', 'propose', 'two', 'suitable', 'experimental', 'setups', 'where', 'the', 'protocol', 'can', 'be', 'implemented']] | [-0.22422187517654021, 0.21873521408194613, -0.06639094258947618, 0.020286248623521935, -0.015829662896756982, -0.22381748395554465, 0.08064192771140871, 0.36982648183816463, -0.23548617781589515, -0.32737652636293707, 0.040664884661211924, -0.19594102249288098, -0.08018940952927645, 0.18384645396345778, -0.014435636329239812, 0.0947970136114926, 0.09133660836659115, 0.059406383717753766, -0.005031108429177728, -0.2711202157661319, 0.3059077837086957, -0.005262142667498696, 0.273039008474684, 0.05831308478232602, 0.13814565733653203, 0.05015750432483338, 0.021028662714625484, -0.02431899970718499, -0.04600990761537105, 0.12029900368411447, 0.259749040185225, 0.1437365449001563, 0.2877364750662497, -0.4688318971030671, -0.15436795063252592, 0.12487736387692135, 0.1549510316429499, 0.19205714280492273, -0.05915540639824908, -0.2888384230177978, 0.06363806004860792, -0.22368787241906957, -0.09768036571491895, -0.0982987501754843, -0.06517659984368446, -0.031390531823552885, -0.3497766166732743, 0.031771673914747604, -0.021318723760737943, 0.006214242348254755, 0.004568685897915014, -0.054754300813736584, 0.03260594314156935, 0.13323906703514915, -0.026207516395390547, -0.008937244325603262, 0.1402026782021055, -0.1198419316125841, -0.13080288760428285, 0.32957298793540946, -0.061522224982236993, -0.20657566526968932, 0.1583898482876348, -0.044731033243367385, -0.08774960442478287, 0.10456156695325827, 0.15509424268685537, 0.1508619317078385, -0.11748736440043511, 0.03978549344625709, -0.022335002744763063, 0.1756548341082666, 0.009922306085455006, 0.08471708006129183, 0.17392418286281414, 0.177142628348018, 0.0757556152048296, 0.1826133629094392, -0.11460074971847493, -0.1044696612315702, -0.34668987658043426, -0.19911115907196855, -0.2273987751405943, 0.029431506597982913, -0.05205913785652354, -0.07667069532908499, 0.4020339236558357, 0.17399938745777413, 0.2210028886008237, -0.008289295794634983, 0.329840860361683, 0.07179389611701481, 0.03846589979466757, 0.02553087004042905, 0.23803629408237234, 0.11777306434995463, 0.05247715257654159, -0.2257496396537292, 0.06486927070815501, 0.07012702689249196] |
710.3856 | The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops | We calculate the perturbative value of the free energy in Lattice QCD, up to
three loops. Our calculation is performed using Wilson gluons and the
Sheikholeslami - Wolhert (clover) improved action for fermions.
The free energy is directly related to the average plaquette. To carry out
the calculation, we compute all relevant Feynman diagrams up to 3 loops, using
a set of automated procedures in Mathematica; numerical evaluation of the
resulting loop integrals is performed on finite lattice, with subsequent
extrapolation to infinite size.
The results are presented as a function of the fermion mass m, for any
SU(N_c) gauge group, and for an arbitrary number of fermion flavors. In order
to enable independent comparisons, we also provide the results on a per diagram
basis, for a specific mass value.
| hep-lat | we calculate the perturbative value of the free energy in lattice qcd up to three loops our calculation is performed using wilson gluons and the sheikholeslami wolhert clover improved action for fermions the free energy is directly related to the average plaquette to carry out the calculation we compute all relevant feynman diagrams up to 3 loops using a set of automated procedures in mathematica numerical evaluation of the resulting loop integrals is performed on finite lattice with subsequent extrapolation to infinite size the results are presented as a function of the fermion mass m for any sun_c gauge group and for an arbitrary number of fermion flavors in order to enable independent comparisons we also provide the results on a per diagram basis for a specific mass value | [['we', 'calculate', 'the', 'perturbative', 'value', 'of', 'the', 'free', 'energy', 'in', 'lattice', 'qcd', 'up', 'to', 'three', 'loops', 'our', 'calculation', 'is', 'performed', 'using', 'wilson', 'gluons', 'and', 'the', 'sheikholeslami', 'wolhert', 'clover', 'improved', 'action', 'for', 'fermions', 'the', 'free', 'energy', 'is', 'directly', 'related', 'to', 'the', 'average', 'plaquette', 'to', 'carry', 'out', 'the', 'calculation', 'we', 'compute', 'all', 'relevant', 'feynman', 'diagrams', 'up', 'to', '3', 'loops', 'using', 'a', 'set', 'of', 'automated', 'procedures', 'in', 'mathematica', 'numerical', 'evaluation', 'of', 'the', 'resulting', 'loop', 'integrals', 'is', 'performed', 'on', 'finite', 'lattice', 'with', 'subsequent', 'extrapolation', 'to', 'infinite', 'size', 'the', 'results', 'are', 'presented', 'as', 'a', 'function', 'of', 'the', 'fermion', 'mass', 'm', 'for', 'any', 'sun_c', 'gauge', 'group', 'and', 'for', 'an', 'arbitrary', 'number', 'of', 'fermion', 'flavors', 'in', 'order', 'to', 'enable', 'independent', 'comparisons', 'we', 'also', 'provide', 'the', 'results', 'on', 'a', 'per', 'diagram', 'basis', 'for', 'a', 'specific', 'mass', 'value']] | [-0.12134667975813385, 0.20654410778053975, -0.08627840084588434, 0.06541675091519453, -0.05647648068137584, -0.0640667852776961, 0.10867850739127538, 0.3916500687423184, -0.13100579235057427, -0.30613282067686554, 0.08189407139961556, -0.28785071756661407, -0.044253964673757085, 0.19041661683316013, 0.03460004538532317, 0.08961886205109144, 0.08151340533751907, 0.08094044239283173, -0.1280032031560742, -0.28432929826768366, 0.30248062048789376, 0.030023076597190515, 0.21846072319308368, 0.113309369050333, 0.08687610821211784, 0.04459771422456627, -0.07453274181273979, -0.0024114261073331666, -0.12962814998688307, 0.09587301379051352, 0.1984739342198421, 0.009757126628741617, 0.16031661873140673, -0.3734594668137042, -0.16342229561102906, 0.06149025749063163, 0.1557404545106463, 0.09291374844711596, 0.0028373964449874764, -0.20844186514462015, 0.09515239119779055, -0.20390000580773343, -0.16839086300029793, -0.14094380278316304, -0.03035562669291843, -0.05260979390142148, -0.3249746832197283, 0.024645713617884018, -0.09034895781046293, 0.07185798372310681, -0.019372955287300694, -0.1661036289847038, -0.024202306610055443, 0.16172471195532698, 0.053009688687386126, 0.07743414398282766, 0.10395444641769754, -0.147983887584836, -0.16221541219838256, 0.40408333455483747, -0.06960518981007434, -0.22938810235556714, 0.1401183726357692, -0.11911026638470532, -0.14733729822795807, 0.15125362427363687, 0.14318681903931452, 0.12169268750035622, -0.1467587658255471, 0.09603146546406627, -0.05109568787592016, 0.16945608673749243, 0.051971224059651454, -0.022048733490482558, 0.18219840616779767, 0.11486848784192634, 0.01564047968851065, 0.15595477950341236, -0.02609084648864828, -0.12647856698980128, -0.38302953834608783, -0.15736530320058892, -0.16164923274218596, 0.05210208042027927, -0.13320131723812093, -0.20449768039984556, 0.3899971863005574, 0.17888565185146615, 0.17135996333810163, 0.05444301422098725, 0.25810038309001665, 0.15019672534780992, 0.1178568938351053, 0.059835251607734154, 0.16792887431298067, 0.13782903101977226, 0.05411743059549041, -0.2887972451482467, -0.11398400453755295, 0.17541379058425585] |
710.3857 | Generalizations of Sch\"{o}bi's Tetrahedral Dissection | Let v_1, ..., v_n be unit vectors in R^n such that v_i . v_j = -w for i != j,
where -1 <w < 1/(n-1). The points Sum_{i=1..n} lambda_i v_i, where 1 >=
lambda_1 >= ... >= lambda_n >= 0, form a ``Hill-simplex of the first type'',
denoted by Q_n(w). It was shown by Hadwiger in 1951 that Q_n(w) is
equidissectable with a cube. In 1985, Sch\"{o}bi gave a three-piece dissection
of Q_3(w) into a triangular prism c Q_2(1/2) X I, where I denotes an interval
and c = sqrt{2(w+1)/3}. The present paper generalizes Sch\"{o}bi's dissection
to an n-piece dissection of Q_n(w) into a prism c Q_{n-1}(1/(n-1)) X I, where c
= sqrt{(n-1)(w+1)/n}. Iterating this process leads to a dissection of Q_n(w)
into an n-dimensional rectangular parallelepiped (or ``brick'') using at most
n! pieces. The complexity of computing the map from Q_n(w) to the brick is
O(n^2). A second generalization of Sch\"{o}bi's dissection is given which
applies specifically in R^4. The results have applications to source coding and
to constant-weight binary codes.
| math.MG math.CO | let v_1 v_n be unit vectors in rn such that v_i v_j w for i j where 1 w 1n1 the points sum_i1n lambda_i v_i where 1 lambda_1 lambda_n 0 form a hillsimplex of the first type denoted by q_nw it was shown by hadwiger in 1951 that q_nw is equidissectable with a cube in 1985 schobi gave a threepiece dissection of q_3w into a triangular prism c q_212 x i where i denotes an interval and c sqrt2w13 the present paper generalizes schobis dissection to an npiece dissection of q_nw into a prism c q_n11n1 x i where c sqrtn1w1n iterating this process leads to a dissection of q_nw into an ndimensional rectangular parallelepiped or brick using at most n pieces the complexity of computing the map from q_nw to the brick is on2 a second generalization of schobis dissection is given which applies specifically in r4 the results have applications to source coding and to constantweight binary codes | [['let', 'v_1', 'v_n', 'be', 'unit', 'vectors', 'in', 'rn', 'such', 'that', 'v_i', 'v_j', 'w', 'for', 'i', 'j', 'where', '1', 'w', '1n1', 'the', 'points', 'sum_i1n', 'lambda_i', 'v_i', 'where', '1', 'lambda_1', 'lambda_n', '0', 'form', 'a', 'hillsimplex', 'of', 'the', 'first', 'type', 'denoted', 'by', 'q_nw', 'it', 'was', 'shown', 'by', 'hadwiger', 'in', '1951', 'that', 'q_nw', 'is', 'equidissectable', 'with', 'a', 'cube', 'in', '1985', 'schobi', 'gave', 'a', 'threepiece', 'dissection', 'of', 'q_3w', 'into', 'a', 'triangular', 'prism', 'c', 'q_212', 'x', 'i', 'where', 'i', 'denotes', 'an', 'interval', 'and', 'c', 'sqrt2w13', 'the', 'present', 'paper', 'generalizes', 'schobis', 'dissection', 'to', 'an', 'npiece', 'dissection', 'of', 'q_nw', 'into', 'a', 'prism', 'c', 'q_n11n1', 'x', 'i', 'where', 'c', 'sqrtn1w1n', 'iterating', 'this', 'process', 'leads', 'to', 'a', 'dissection', 'of', 'q_nw', 'into', 'an', 'ndimensional', 'rectangular', 'parallelepiped', 'or', 'brick', 'using', 'at', 'most', 'n', 'pieces', 'the', 'complexity', 'of', 'computing', 'the', 'map', 'from', 'q_nw', 'to', 'the', 'brick', 'is', 'on2', 'a', 'second', 'generalization', 'of', 'schobis', 'dissection', 'is', 'given', 'which', 'applies', 'specifically', 'in', 'r4', 'the', 'results', 'have', 'applications', 'to', 'source', 'coding', 'and', 'to', 'constantweight', 'binary', 'codes']] | [-0.1378939547286925, 0.10388088813659051, -0.03911359128448487, -0.05875963036116397, -0.04341887787371974, -0.20358599352708162, 0.004152563984987119, 0.32630982155592847, -0.30393951969930666, -0.19600017973840636, 0.08063883012341923, -0.33552525295319674, -0.10753651449906847, 0.11717971853736862, -0.09675076939228097, -0.018424654825615554, 0.027614164228657347, 0.05281020862975427, -0.015345548495225259, -0.25716889838648227, 0.27504993101500674, -0.045186415683453114, 0.14207484398678652, 0.003117878733815363, 0.10176088628609159, 0.020154986110978428, 0.01640173151539076, 0.019369865634834907, -0.2089948909012046, 0.12162276801353183, 0.23538770667752312, 0.17020630528337805, 0.26013736169935275, -0.34729007907186776, -0.12084930137756136, 0.13656684485007853, 0.20540470306780315, -0.022434642651718385, -0.0034990960563339242, -0.2186607870331109, 0.11854335193165996, -0.13995285029054289, -0.08429649888050286, 0.033134996597248834, 0.1595133994557526, -0.009668227708617213, -0.34607251376013626, -0.020574204142411682, 0.13713899271050156, 0.03157395755158403, 0.031283579570641304, -0.20933174049081718, -0.03831813969311848, 0.06962830563475872, -0.05447096356222775, 0.16414322878465357, 0.00263073662570959, -0.04268840005880709, -0.1274704373505704, 0.4096833848513213, -0.024407766178100303, -0.2140961754192042, 0.06485005649784892, -0.13611482341395653, -0.13999312793861, 0.1059165242934387, 0.11253150363746506, 0.1257092347931142, -0.050863204323905425, 0.1767060719156988, -0.10003676714653761, 0.13582286844342548, 0.14198335242651453, -0.04608560934500306, 0.11489972934726901, 0.1063455317556958, 0.06755408354575478, 0.17682474986696928, -0.07847221805120275, -0.012015737780688592, -0.32490507584540235, -0.19337271049543714, -0.25389995105289576, 0.12576596673903048, -0.13032972587302996, -0.1528553979839714, 0.31288091966963605, 0.026732254317092814, 0.2589158300691653, 0.05041180219541885, 0.21348480630866032, 0.04918092190469271, 0.04359876805753916, 0.1315713916067659, 0.06134297630605882, 0.14163721412038993, 0.029641555000296575, -0.1339077129001001, -0.0048950220576968765, 0.19233098049216824] |
710.3858 | Tamagawa defect of Euler systems | As remarked in [Kolyvagin systems, by Barry Mazur and Karl Rubin] Proposition
6.2.6 and Buyukboduk[ arXiv:0706.0377v1 ] Remark 3.25 one does not expect the
Kolyvagin system obtained from an Euler system for a p-adic Galois
representation T to be primitive (in the sense of [Kolyvagin systems, by Barry
Mazur and Karl Rubin] Definition 4.5.5) if p divides a Tamagawa number at a
prime \ell different from p; thus fails to compute the correct size of the
relevant Selmer module. In this paper we obtain a lower bound for the size of
the cokernel of the Euler system to Kolyvagin system map (see Theorem 3.2.4 of
[Kolyvagin systems, by Barry Mazur and Karl Rubin] for a definition of this
map) in terms of the Tamagawa numbers of T, refining [Kolyvagin systems, by
Barry Mazur and Karl Rubin] Propostion 6.2.6. We show how this partially
accounts for the missing Tamagawa factors in Kato's calculations with his Euler
system.
| math.NT | as remarked in kolyvagin systems by barry mazur and karl rubin proposition 626 and buyukboduk arxiv07060377v1 remark 325 one does not expect the kolyvagin system obtained from an euler system for a padic galois representation t to be primitive in the sense of kolyvagin systems by barry mazur and karl rubin definition 455 if p divides a tamagawa number at a prime ell different from p thus fails to compute the correct size of the relevant selmer module in this paper we obtain a lower bound for the size of the cokernel of the euler system to kolyvagin system map see theorem 324 of kolyvagin systems by barry mazur and karl rubin for a definition of this map in terms of the tamagawa numbers of t refining kolyvagin systems by barry mazur and karl rubin propostion 626 we show how this partially accounts for the missing tamagawa factors in katos calculations with his euler system | [['as', 'remarked', 'in', 'kolyvagin', 'systems', 'by', 'barry', 'mazur', 'and', 'karl', 'rubin', 'proposition', '626', 'and', 'buyukboduk', 'arxiv07060377v1', 'remark', '325', 'one', 'does', 'not', 'expect', 'the', 'kolyvagin', 'system', 'obtained', 'from', 'an', 'euler', 'system', 'for', 'a', 'padic', 'galois', 'representation', 't', 'to', 'be', 'primitive', 'in', 'the', 'sense', 'of', 'kolyvagin', 'systems', 'by', 'barry', 'mazur', 'and', 'karl', 'rubin', 'definition', '455', 'if', 'p', 'divides', 'a', 'tamagawa', 'number', 'at', 'a', 'prime', 'ell', 'different', 'from', 'p', 'thus', 'fails', 'to', 'compute', 'the', 'correct', 'size', 'of', 'the', 'relevant', 'selmer', 'module', 'in', 'this', 'paper', 'we', 'obtain', 'a', 'lower', 'bound', 'for', 'the', 'size', 'of', 'the', 'cokernel', 'of', 'the', 'euler', 'system', 'to', 'kolyvagin', 'system', 'map', 'see', 'theorem', '324', 'of', 'kolyvagin', 'systems', 'by', 'barry', 'mazur', 'and', 'karl', 'rubin', 'for', 'a', 'definition', 'of', 'this', 'map', 'in', 'terms', 'of', 'the', 'tamagawa', 'numbers', 'of', 't', 'refining', 'kolyvagin', 'systems', 'by', 'barry', 'mazur', 'and', 'karl', 'rubin', 'propostion', '626', 'we', 'show', 'how', 'this', 'partially', 'accounts', 'for', 'the', 'missing', 'tamagawa', 'factors', 'in', 'katos', 'calculations', 'with', 'his', 'euler', 'system']] | [-0.19860411697262106, 0.05643894579164529, -0.144990322432706, 0.06989696669830557, -0.0929810164611957, -0.1517905853293057, 0.05906336409651546, 0.16354355341420065, -0.26662802334047025, -0.33693033432454067, 0.03602210948703311, -0.26792182720546287, -0.14000184807372493, 0.22876038714433758, -0.18816757393282613, 0.018257854561157087, 0.04581818873902746, 0.029749540431011055, -0.02232342826056422, -0.3304542346364435, 0.35675055635606057, 0.048481346266283316, 0.1788559797299064, 0.027884925782583118, 0.08625649164729064, 0.035011115890251944, -0.021801447368940654, -0.012620449014421966, -0.13250882785122087, 0.1011915095774396, 0.3244181620958604, 0.0675330888966914, 0.2929648041848422, -0.320230742618959, -0.11324274001850022, 0.10583736671414835, 0.03964687891614934, 0.042928019063729866, 0.08196922274172501, -0.28749180352315307, 0.1310909738051979, -0.23229490467529817, -0.18858257658000477, -0.05055958593836407, 0.13833741451692738, 0.02977697553685288, -0.22379790470795402, 0.004707222293112792, 0.1178015159850855, 0.1786125445798069, -0.06230691852340219, -0.1802348288352863, 0.04019051546145693, 0.0646282346200904, -0.007519759237766266, 0.0603961418748048, 0.0642039454755148, -0.09906960208595919, -0.08911755013666146, 0.3562107903554159, -0.0858469592465173, -0.1228727291039879, 0.1458137745518554, -0.17732120685741987, -0.22557376264335793, 0.09604982724352405, 0.05495133558349087, 0.14830663056113585, -0.02865445872561799, 0.17164557825681126, -0.1626089358385774, 0.13710381011509037, 0.16120394077030273, -0.09971217601103526, 0.12506245772713442, 0.019688080131910205, 0.018485183669315054, 0.1249051692422321, -0.021675943351332463, 0.005516062744777479, -0.23386820196326263, -0.23409206867621285, -0.19702961410280145, 0.1796347003695867, -0.019578781267578615, -0.08948951241943766, 0.35152935138081803, 0.13053948224942183, 0.18292166901374954, 0.13123316881459912, 0.2314936569296478, 0.07273201644915199, 0.013515504226210265, 0.08679332632534936, 0.1617780270334942, 0.22826136744222025, 0.07559781681648851, -0.18194726088180913, -0.03116931154672665, 0.21234155485856962] |
710.3859 | Endogenous versus Exogenous Origins of Diseases | Many illnesses are associated with an alteration of the immune system
homeostasis due to any combination of factors, including exogenous bacterial
insult, endogenous breakdown (e.g., development of a disease that results in
immuno suppression), or an exogenous hit like surgery that simultaneously
alters immune responsiveness and provides access to bacteria, or genetic
disorder. We conjecture that, as a consequence of the co-evolution of the
immune system of individuals with the ecology of pathogens, the homeostasis of
the immune system requires the influx of pathogens. This allows the immune
system to keep the ever present pathogens under control and to react and adjust
fast to bursts of infections. We construct the simplest and most general system
of rate equations which describes the dynamics of five compartments: healthy
cells, altered cells, adaptive and innate immune cells, and pathogens. We study
four regimes obtained with or without auto-immune disorder and with or without
spontaneous proliferation of infected cells. Over all regimes, we find that
seven different states are naturally described by the model: (i) strong healthy
immune system, (ii) healthy organism with evanescent immune cells, (iii)
chronic infections, (iv) strong infections, (v) cancer, (vi) critically ill
state and (vii) death. The analysis of stability conditions demonstrates that
these seven states depend on the balance between the robustness of the immune
system and the influx of pathogens.
| physics.bio-ph physics.med-ph q-bio.CB | many illnesses are associated with an alteration of the immune system homeostasis due to any combination of factors including exogenous bacterial insult endogenous breakdown eg development of a disease that results in immuno suppression or an exogenous hit like surgery that simultaneously alters immune responsiveness and provides access to bacteria or genetic disorder we conjecture that as a consequence of the coevolution of the immune system of individuals with the ecology of pathogens the homeostasis of the immune system requires the influx of pathogens this allows the immune system to keep the ever present pathogens under control and to react and adjust fast to bursts of infections we construct the simplest and most general system of rate equations which describes the dynamics of five compartments healthy cells altered cells adaptive and innate immune cells and pathogens we study four regimes obtained with or without autoimmune disorder and with or without spontaneous proliferation of infected cells over all regimes we find that seven different states are naturally described by the model i strong healthy immune system ii healthy organism with evanescent immune cells iii chronic infections iv strong infections v cancer vi critically ill state and vii death the analysis of stability conditions demonstrates that these seven states depend on the balance between the robustness of the immune system and the influx of pathogens | [['many', 'illnesses', 'are', 'associated', 'with', 'an', 'alteration', 'of', 'the', 'immune', 'system', 'homeostasis', 'due', 'to', 'any', 'combination', 'of', 'factors', 'including', 'exogenous', 'bacterial', 'insult', 'endogenous', 'breakdown', 'eg', 'development', 'of', 'a', 'disease', 'that', 'results', 'in', 'immuno', 'suppression', 'or', 'an', 'exogenous', 'hit', 'like', 'surgery', 'that', 'simultaneously', 'alters', 'immune', 'responsiveness', 'and', 'provides', 'access', 'to', 'bacteria', 'or', 'genetic', 'disorder', 'we', 'conjecture', 'that', 'as', 'a', 'consequence', 'of', 'the', 'coevolution', 'of', 'the', 'immune', 'system', 'of', 'individuals', 'with', 'the', 'ecology', 'of', 'pathogens', 'the', 'homeostasis', 'of', 'the', 'immune', 'system', 'requires', 'the', 'influx', 'of', 'pathogens', 'this', 'allows', 'the', 'immune', 'system', 'to', 'keep', 'the', 'ever', 'present', 'pathogens', 'under', 'control', 'and', 'to', 'react', 'and', 'adjust', 'fast', 'to', 'bursts', 'of', 'infections', 'we', 'construct', 'the', 'simplest', 'and', 'most', 'general', 'system', 'of', 'rate', 'equations', 'which', 'describes', 'the', 'dynamics', 'of', 'five', 'compartments', 'healthy', 'cells', 'altered', 'cells', 'adaptive', 'and', 'innate', 'immune', 'cells', 'and', 'pathogens', 'we', 'study', 'four', 'regimes', 'obtained', 'with', 'or', 'without', 'autoimmune', 'disorder', 'and', 'with', 'or', 'without', 'spontaneous', 'proliferation', 'of', 'infected', 'cells', 'over', 'all', 'regimes', 'we', 'find', 'that', 'seven', 'different', 'states', 'are', 'naturally', 'described', 'by', 'the', 'model', 'i', 'strong', 'healthy', 'immune', 'system', 'ii', 'healthy', 'organism', 'with', 'evanescent', 'immune', 'cells', 'iii', 'chronic', 'infections', 'iv', 'strong', 'infections', 'v', 'cancer', 'vi', 'critically', 'ill', 'state', 'and', 'vii', 'death', 'the', 'analysis', 'of', 'stability', 'conditions', 'demonstrates', 'that', 'these', 'seven', 'states', 'depend', 'on', 'the', 'balance', 'between', 'the', 'robustness', 'of', 'the', 'immune', 'system', 'and', 'the', 'influx', 'of', 'pathogens']] | [-0.12558969274484824, 0.19211621842602364, 0.009999114631376576, 0.041693227592701165, -0.01739482728518011, -0.24170274748529555, 0.09265179210342467, 0.2806355230574968, -0.22232551170009784, -0.23161780069511168, 0.07928708785959006, -0.30802675177278716, -0.2890378825779954, 0.13806019175167075, -0.1513437590386401, -0.022984326313324942, 0.04706601427258264, 0.003903616742844873, 0.12084514642501826, -0.2552410367726987, 0.2975593981230757, 0.028365382137436904, 0.2903293792780639, -0.0065920161338619086, 0.13749388764056925, -0.001417569060718031, -0.011858353796394149, -0.013368139920480583, -0.10173960751100185, 0.08057729934390233, 0.2654381932005821, 0.2095570450527552, 0.3315688789604992, -0.4991307610420368, -0.245305141978041, 0.12315237879227939, 0.15277086448511934, 0.14654739180448226, -0.025602935665286947, -0.27893309648912984, 0.038100404134479605, -0.1790295595516171, -0.17808442974605102, -0.056324388587538306, 0.011824660623370934, 0.06783144480983137, -0.26515411745509937, 0.11127538344877116, 0.016283408246909357, 0.1324042285335221, -0.14363940833308714, -0.07248569140837198, -0.08653953906635214, 0.20901128418342682, 0.09899665564851994, -0.043635748766859654, 0.23687911828177993, -0.1748304079848471, -0.097063728845198, 0.30655868332666, 0.0068065686017742605, -0.15959672115935272, 0.2792181787310761, -0.12086904829685396, -0.05778549343813211, 0.16358989231067086, 0.17357777438289382, 0.04479324989095999, -0.19721022075785516, -0.03480735018813744, 0.07235571975045056, 0.16755415960904127, 0.055665071849030495, 0.03279240936121273, 0.14492684694616784, 0.20497192232347525, 0.03426236816344683, 0.06994539743702809, -0.07943985881957313, -0.07465225052831886, -0.2015518327431561, -0.1473214191117328, -0.04714490024157854, 0.07200156644690414, -0.08372601503948733, -0.20800900220403223, 0.41288389035421236, 0.13036401373555576, 0.12450286561848738, 0.05840318713957369, 0.22650872988860235, -0.007397608953160589, 0.09262313871464854, -0.009510270129855839, 0.1723771161637833, 0.07353822241974221, 0.0815370744924299, -0.36277648668335294, 0.21851083625216589, -0.0106420251407719] |
710.386 | Prime and composite Laurent polynomials | In 1922 Ritt constructed the theory of functional decompositions of
polynomials with complex coefficients. In particular, he described explicitly
indecomposable polynomial solutions of the functional equation f(p(z))=g(q(z)).
In this paper we study the equation above in the case when f,g,p,q are
holomorphic functions on compact Riemann surfaces. We also construct a
self-contained theory of functional decompositions of rational functions with
at most two poles generalizing the Ritt theory. In particular, we give new
proofs of the theorems of Ritt and of the theorem of Bilu and Tichy.
| math.CV math.AG | in 1922 ritt constructed the theory of functional decompositions of polynomials with complex coefficients in particular he described explicitly indecomposable polynomial solutions of the functional equation fpzgqz in this paper we study the equation above in the case when fgpq are holomorphic functions on compact riemann surfaces we also construct a selfcontained theory of functional decompositions of rational functions with at most two poles generalizing the ritt theory in particular we give new proofs of the theorems of ritt and of the theorem of bilu and tichy | [['in', '1922', 'ritt', 'constructed', 'the', 'theory', 'of', 'functional', 'decompositions', 'of', 'polynomials', 'with', 'complex', 'coefficients', 'in', 'particular', 'he', 'described', 'explicitly', 'indecomposable', 'polynomial', 'solutions', 'of', 'the', 'functional', 'equation', 'fpzgqz', 'in', 'this', 'paper', 'we', 'study', 'the', 'equation', 'above', 'in', 'the', 'case', 'when', 'fgpq', 'are', 'holomorphic', 'functions', 'on', 'compact', 'riemann', 'surfaces', 'we', 'also', 'construct', 'a', 'selfcontained', 'theory', 'of', 'functional', 'decompositions', 'of', 'rational', 'functions', 'with', 'at', 'most', 'two', 'poles', 'generalizing', 'the', 'ritt', 'theory', 'in', 'particular', 'we', 'give', 'new', 'proofs', 'of', 'the', 'theorems', 'of', 'ritt', 'and', 'of', 'the', 'theorem', 'of', 'bilu', 'and', 'tichy']] | [-0.13002829248400624, 0.048223783305900936, -0.13068887817618602, 0.09557646332062124, -0.06108426789150519, -0.09091867328457096, -0.011103226679979879, 0.2668496519655866, -0.27603749834028457, -0.21014666293802506, 0.08169551440882702, -0.28902747052557326, -0.22389675231773734, 0.18860086500644685, -0.09555969347848611, 0.030186720681376754, -0.0036282030920333722, 0.032287681080839216, -0.11969574142302222, -0.28846889230258327, 0.40601762732052626, -0.051489234649959734, 0.16254539934589582, 0.10305676984545939, 0.11032093618722523, 0.03778317602049998, -0.071503074390485, -0.060194983514135374, -0.1887751112746842, 0.17689824229078915, 0.32879510666517653, 0.09165528738213813, 0.24323518804329283, -0.45640783962958, -0.12763762231368353, 0.11675047922660323, 0.10161450331044548, 0.03240264520487365, 0.0032728794017149246, -0.23651945757241372, 0.08420416335849201, -0.13633614826728316, -0.22002729496315998, -0.09070061379495789, 0.025879944485666998, 0.06846276415676317, -0.19104915473829298, 0.06626417782835607, 0.11237520124105846, 0.10145169753745636, -0.11364111699273481, -0.14710491091451225, -0.0069295761175453665, 0.032325846821357335, 0.01162356725510429, 0.018885635121670716, 0.02060766020132338, -0.12277969979571507, -0.11957927213173689, 0.2890309485661633, -0.07821887737852247, -0.2652738994809196, 0.1313195564181489, -0.18237152748248156, -0.24733477961819839, 0.05275838807334795, 0.1124359239166712, 0.2060929739902563, -0.09269938887292109, 0.19686153276749846, -0.13328977248028798, 0.06571483353858211, 0.1668190217029084, 0.007574493648237823, 0.08362659739659113, 0.052744722171850944, 0.03951705610927413, 0.13059125777662678, 0.06177098795716815, -0.10595831299091087, -0.36886157901848066, -0.18453568846863858, -0.13251283743199618, 0.08684991503901342, -0.09765381185194094, -0.23137947406400652, 0.4152841789319235, 0.06423373508869726, 0.1147137805381242, 0.11901251048616626, 0.20450183257241458, 0.17558503054246744, 0.006142533910186852, 0.04684218219755327, 0.16323352517724476, 0.26388535488616016, 0.036575382252169004, -0.10535512223689104, -0.03218473455430392, 0.22922751644407124] |
710.3861 | Optimal encoding on discrete lattice with translational invariant
constrains using statistical algorithms | In this paper will be presented methodology of encoding information in
valuations of discrete lattice with some translational invariant constrains in
asymptotically optimal way. The method is based on finding statistical
description of such valuations and changing it into statistical algorithm,
which allows to construct deterministically valuation with given statistics.
Optimal statistics allow to generate valuations with uniform distribution - we
get maximum information capacity this way. It will be shown that we can reach
the optimum for one-dimensional models using maximal entropy random walk and
that for the general case we can practically get as close to the capacity of
the model as we want (found numerically: lost 10^{-10} bit/node for Hard
Square). There will be also presented simpler alternative to arithmetic coding
method which can be used as cryptosystem and data correction method too.
| cs.IT math.IT | in this paper will be presented methodology of encoding information in valuations of discrete lattice with some translational invariant constrains in asymptotically optimal way the method is based on finding statistical description of such valuations and changing it into statistical algorithm which allows to construct deterministically valuation with given statistics optimal statistics allow to generate valuations with uniform distribution we get maximum information capacity this way it will be shown that we can reach the optimum for onedimensional models using maximal entropy random walk and that for the general case we can practically get as close to the capacity of the model as we want found numerically lost 1010 bitnode for hard square there will be also presented simpler alternative to arithmetic coding method which can be used as cryptosystem and data correction method too | [['in', 'this', 'paper', 'will', 'be', 'presented', 'methodology', 'of', 'encoding', 'information', 'in', 'valuations', 'of', 'discrete', 'lattice', 'with', 'some', 'translational', 'invariant', 'constrains', 'in', 'asymptotically', 'optimal', 'way', 'the', 'method', 'is', 'based', 'on', 'finding', 'statistical', 'description', 'of', 'such', 'valuations', 'and', 'changing', 'it', 'into', 'statistical', 'algorithm', 'which', 'allows', 'to', 'construct', 'deterministically', 'valuation', 'with', 'given', 'statistics', 'optimal', 'statistics', 'allow', 'to', 'generate', 'valuations', 'with', 'uniform', 'distribution', 'we', 'get', 'maximum', 'information', 'capacity', 'this', 'way', 'it', 'will', 'be', 'shown', 'that', 'we', 'can', 'reach', 'the', 'optimum', 'for', 'onedimensional', 'models', 'using', 'maximal', 'entropy', 'random', 'walk', 'and', 'that', 'for', 'the', 'general', 'case', 'we', 'can', 'practically', 'get', 'as', 'close', 'to', 'the', 'capacity', 'of', 'the', 'model', 'as', 'we', 'want', 'found', 'numerically', 'lost', '1010', 'bitnode', 'for', 'hard', 'square', 'there', 'will', 'be', 'also', 'presented', 'simpler', 'alternative', 'to', 'arithmetic', 'coding', 'method', 'which', 'can', 'be', 'used', 'as', 'cryptosystem', 'and', 'data', 'correction', 'method', 'too']] | [-0.05353254100234846, 0.08863924753699284, -0.15227676154489614, 0.09707627697663604, -0.09075881870213284, -0.2115342179313302, 0.08165790837470081, 0.41396935292477927, -0.3061430056739265, -0.2970898915933612, 0.11870958102578576, -0.2303696218931243, -0.14581608167960683, 0.21283032045935962, -0.11285882083518403, 0.10153367318935803, 0.016309127755421423, 0.056485768252941986, -0.03810950115309166, -0.3154777427440259, 0.24906368032549578, 0.08236863376197419, 0.288257699244336, 0.046367592993192375, 0.07649912715475979, 0.012896738056816272, -0.008060142429156312, 0.041258573130732265, -0.15948555885465318, 0.13487096686861408, 0.28045912490716857, 0.14995341154802314, 0.22386700654430175, -0.39073228970892837, -0.15568211316061553, 0.17073634884549554, 0.17693568662820217, 0.14615984312988428, -0.03464473850691496, -0.21796536151104287, 0.1101437189664914, -0.17970401727691737, -0.1168091069948651, -0.14450522888201608, -0.01842296596811111, 0.018977921497365182, -0.31518975544178773, 0.050062525271804686, 0.05219740839675069, 0.0047202222744253146, -0.033554733324702136, -0.0806228611123081, 0.014699033809019558, 0.10714390970516338, 0.021530304973729566, 0.03815681145199811, 0.09659417170280618, -0.05215665008811934, -0.11715804352842049, 0.40311023584608713, -0.0588953910350327, -0.2745739278703261, 0.11969032690603175, -0.12396462330483456, -0.14177222830007102, 0.11776872065418692, 0.190580643289514, 0.10462607219537247, -0.16102669289363408, 0.045047348459449306, -0.07661371671163769, 0.1659823588645972, 0.04525655831919232, 0.06902152198973223, 0.18270927698632924, 0.11063665948780392, 0.11907686447071385, 0.190678518564343, -0.0532380960692318, -0.11743074664568055, -0.2890609719081601, -0.12483819123399235, -0.1983899584338903, 0.07610726010387958, -0.08571959141637077, -0.1360006841469066, 0.3438283986578793, 0.20735750243123344, 0.16035862083532917, 0.10075469905816352, 0.27616686915975314, 0.12894100528783792, 0.04194747521837395, 0.12000513280422162, 0.17804023778216335, 0.0970207559876144, 0.05255185254439434, -0.12430008913306936, 0.08281970255288866, 0.06949230922914262] |
710.3862 | Large-scale instability in a sheared nonhelical turbulence: formation of
vortical structures | We study a large-scale instability in a sheared nonhelical turbulence that
causes generation of large-scale vorticity. Three types of the background
large-scale flows are considered, i.e., the Couette and Poiseuille flows in a
small-scale homogeneous turbulence, and the "log-linear" velocity shear in an
inhomogeneous turbulence. It is known that laminar plane Couette flow and
antisymmetric mode of laminar plane Poiseuille flow are stable with respect to
small perturbations for any Reynolds numbers. We demonstrate that in a
small-scale turbulence under certain conditions the large-scale Couette and
Poiseuille flows are unstable due to the large-scale instability. This
instability causes formation of large-scale vortical structures stretched along
the mean sheared velocity. The growth rate of the large-scale instability for
the "log-linear" velocity shear is much larger than that for the Couette and
Poiseuille background flows. We have found a turbulent analogue of the
Tollmien-Schlichting waves in a small-scale sheared turbulence. A mechanism of
excitation of turbulent Tollmien-Schlichting waves is associated with a
combined effect of the turbulent Reynolds stress-induced generation of
perturbations of the mean vorticity and the background sheared motions. These
waves can be excited even in a plane Couette flow imposed on a small-scale
turbulence when perturbations of mean velocity depend on three spatial
coordinates. The energy of these waves is supplied by the small-scale sheared
turbulence.
| physics.flu-dyn astro-ph physics.geo-ph | we study a largescale instability in a sheared nonhelical turbulence that causes generation of largescale vorticity three types of the background largescale flows are considered ie the couette and poiseuille flows in a smallscale homogeneous turbulence and the loglinear velocity shear in an inhomogeneous turbulence it is known that laminar plane couette flow and antisymmetric mode of laminar plane poiseuille flow are stable with respect to small perturbations for any reynolds numbers we demonstrate that in a smallscale turbulence under certain conditions the largescale couette and poiseuille flows are unstable due to the largescale instability this instability causes formation of largescale vortical structures stretched along the mean sheared velocity the growth rate of the largescale instability for the loglinear velocity shear is much larger than that for the couette and poiseuille background flows we have found a turbulent analogue of the tollmienschlichting waves in a smallscale sheared turbulence a mechanism of excitation of turbulent tollmienschlichting waves is associated with a combined effect of the turbulent reynolds stressinduced generation of perturbations of the mean vorticity and the background sheared motions these waves can be excited even in a plane couette flow imposed on a smallscale turbulence when perturbations of mean velocity depend on three spatial coordinates the energy of these waves is supplied by the smallscale sheared turbulence | [['we', 'study', 'a', 'largescale', 'instability', 'in', 'a', 'sheared', 'nonhelical', 'turbulence', 'that', 'causes', 'generation', 'of', 'largescale', 'vorticity', 'three', 'types', 'of', 'the', 'background', 'largescale', 'flows', 'are', 'considered', 'ie', 'the', 'couette', 'and', 'poiseuille', 'flows', 'in', 'a', 'smallscale', 'homogeneous', 'turbulence', 'and', 'the', 'loglinear', 'velocity', 'shear', 'in', 'an', 'inhomogeneous', 'turbulence', 'it', 'is', 'known', 'that', 'laminar', 'plane', 'couette', 'flow', 'and', 'antisymmetric', 'mode', 'of', 'laminar', 'plane', 'poiseuille', 'flow', 'are', 'stable', 'with', 'respect', 'to', 'small', 'perturbations', 'for', 'any', 'reynolds', 'numbers', 'we', 'demonstrate', 'that', 'in', 'a', 'smallscale', 'turbulence', 'under', 'certain', 'conditions', 'the', 'largescale', 'couette', 'and', 'poiseuille', 'flows', 'are', 'unstable', 'due', 'to', 'the', 'largescale', 'instability', 'this', 'instability', 'causes', 'formation', 'of', 'largescale', 'vortical', 'structures', 'stretched', 'along', 'the', 'mean', 'sheared', 'velocity', 'the', 'growth', 'rate', 'of', 'the', 'largescale', 'instability', 'for', 'the', 'loglinear', 'velocity', 'shear', 'is', 'much', 'larger', 'than', 'that', 'for', 'the', 'couette', 'and', 'poiseuille', 'background', 'flows', 'we', 'have', 'found', 'a', 'turbulent', 'analogue', 'of', 'the', 'tollmienschlichting', 'waves', 'in', 'a', 'smallscale', 'sheared', 'turbulence', 'a', 'mechanism', 'of', 'excitation', 'of', 'turbulent', 'tollmienschlichting', 'waves', 'is', 'associated', 'with', 'a', 'combined', 'effect', 'of', 'the', 'turbulent', 'reynolds', 'stressinduced', 'generation', 'of', 'perturbations', 'of', 'the', 'mean', 'vorticity', 'and', 'the', 'background', 'sheared', 'motions', 'these', 'waves', 'can', 'be', 'excited', 'even', 'in', 'a', 'plane', 'couette', 'flow', 'imposed', 'on', 'a', 'smallscale', 'turbulence', 'when', 'perturbations', 'of', 'mean', 'velocity', 'depend', 'on', 'three', 'spatial', 'coordinates', 'the', 'energy', 'of', 'these', 'waves', 'is', 'supplied', 'by', 'the', 'smallscale', 'sheared', 'turbulence']] | [-0.2865597994586084, 0.2567313394841469, -0.0624508718221796, 0.06743930697962557, -0.04631461348912511, -0.017405168539608405, -0.13329574515965814, 0.28253508419869255, -0.3155828753597863, -0.22500032070548862, 0.09593713925915345, -0.2015898767614647, -0.11869252285456568, 0.22265171051918087, 0.023891867332113265, 0.0955143764624179, 0.04588826452296073, -0.03925740813368648, 0.03868304770804667, -0.1420614536345211, 0.32709780308817116, 0.08195154442696527, 0.35141711219853383, -0.034748633959478685, 0.0673556113304476, -0.17849206844288942, -0.03104878635433275, 0.11827302945580351, -0.23635703615464962, 0.010022440150568974, 0.16520423385694738, -0.011952613504530545, 0.26284610215694676, -0.49357173524899967, -0.2918798568645655, 0.03610065233977383, 0.18099030013161835, 0.14942636042039342, -0.044561315111817004, -0.25176114809574895, 0.08544741118807465, -0.12081024023245007, -0.11021977295875893, -0.02125158107384593, 0.024066063234247783, 0.0836894697499513, -0.2954058584109086, 0.2181940656219725, 0.09569946497524251, 0.13348342562394758, -0.1176303537596824, 0.022259997830550243, -0.12614780641697382, 0.03815865447738826, 0.12751532899438991, 0.046481975160049885, 0.1936032956547623, -0.21612689189488404, -0.011136575378820918, 0.43613904429608225, -0.054602852047537453, -0.2541522218927329, 0.20056783772944922, -0.180733821095152, -0.055619885782874294, 0.2123144266607609, 0.2717353612965634, 0.06181527469639799, -0.008311722115712768, -0.03533409920377305, -0.1172798022773752, 0.12347701303703788, 0.13113199114962587, -0.10446765082823928, 0.26037616793426777, 0.15735904162498576, 0.09964290421084857, 0.15453446894607287, -0.1775989329406438, -0.10415348991288155, -0.2786448021045959, -0.097328574438515, -0.0981494117235016, 0.03571259827151345, -0.10876462778276635, -0.22674836877149784, 0.3645690326505954, 0.11578271205189385, 0.13945023799937406, 0.01085063522093616, 0.3352085788335119, 0.07239386575802954, 0.019718326484432554, 0.22613600484623406, 0.3090729570351026, 0.2389988601390135, 0.18479849825814915, -0.22885088249611826, 0.04050307595793347, 0.04171416513870732] |
710.3863 | Analysis of the convex hull of the attractor of an IFS | In this paper we will introduce the methodology of analysis of the convex
hull of the attractors of iterated functional systems (IFS) - compact fixed
sets of self-similarity mapping. The method is based on a function which for a
direction, gives width in that direction. We can write the self similarity
equation in terms of this function, solve and analyze them. Using this function
we can quickly check if the distance from K of a given x is smaller than a
given distance or even compute analytically convex hull area and the length of
its boundary
| math.CA | in this paper we will introduce the methodology of analysis of the convex hull of the attractors of iterated functional systems ifs compact fixed sets of selfsimilarity mapping the method is based on a function which for a direction gives width in that direction we can write the self similarity equation in terms of this function solve and analyze them using this function we can quickly check if the distance from k of a given x is smaller than a given distance or even compute analytically convex hull area and the length of its boundary | [['in', 'this', 'paper', 'we', 'will', 'introduce', 'the', 'methodology', 'of', 'analysis', 'of', 'the', 'convex', 'hull', 'of', 'the', 'attractors', 'of', 'iterated', 'functional', 'systems', 'ifs', 'compact', 'fixed', 'sets', 'of', 'selfsimilarity', 'mapping', 'the', 'method', 'is', 'based', 'on', 'a', 'function', 'which', 'for', 'a', 'direction', 'gives', 'width', 'in', 'that', 'direction', 'we', 'can', 'write', 'the', 'self', 'similarity', 'equation', 'in', 'terms', 'of', 'this', 'function', 'solve', 'and', 'analyze', 'them', 'using', 'this', 'function', 'we', 'can', 'quickly', 'check', 'if', 'the', 'distance', 'from', 'k', 'of', 'a', 'given', 'x', 'is', 'smaller', 'than', 'a', 'given', 'distance', 'or', 'even', 'compute', 'analytically', 'convex', 'hull', 'area', 'and', 'the', 'length', 'of', 'its', 'boundary']] | [-0.14123130626118693, 0.04977836873578398, -0.13408937127280393, 0.059576974803042644, -0.05429711785216473, -0.09159829111916847, 0.06121096486642368, 0.35646070906965943, -0.32501440567797735, -0.23592887754601083, 0.09780780123669262, -0.27539022520160006, -0.17128271397056155, 0.18305698025138362, -0.06131545783657777, 0.04105960411987709, 0.042644762674248535, 0.06251759961933682, -0.12369109727442265, -0.2272784527072585, 0.349411518891391, -0.006239983694333779, 0.21653263855382407, 0.06006830463087873, 0.12081753579703601, 0.03169557735029804, -0.018107360498489516, 0.09050296052898231, -0.15109979398341813, 0.16055858206298007, 0.2002992247157779, 0.17950116954253692, 0.2882553943187783, -0.3701354334424985, -0.1590923516459665, 0.13910751680010244, 0.15680532672099376, 0.05221986436946808, 0.008441778506446434, -0.2358032942406441, 0.14469415124897894, -0.11026639632488552, -0.16830031250015293, -0.0434605276653249, 0.055993280780354614, 0.0489703349548539, -0.2570611120348698, 0.04456632666681942, 0.03638614612925602, 0.047417888368823026, -0.06657722988533542, -0.08024432719930222, 0.0070691174876533055, 0.09884297770055893, 0.020624159400368196, 0.1025779127927595, 0.12067427048949819, -0.07692362653630737, -0.06552812550952168, 0.3646381649727884, -0.0634560411264446, -0.25455234282110867, 0.17401623119306014, -0.15582597022385974, -0.08993536499083826, 0.09836161571897958, 0.204354890323195, 0.16567768250809567, -0.1625565368682146, 0.13820172147702817, -0.0765174302995499, 0.16311766713073378, 0.06747133859286183, -0.009416834691441374, 0.16552546032165227, 0.1502090584682791, 0.14190290875144695, 0.21674837452898685, -0.08526779455653588, -0.04252016577183416, -0.33117193243417303, -0.17373137638266933, -0.20549109106099134, 0.05625362372344458, -0.11824999801097683, -0.19337114970150746, 0.4081798713458212, 0.13274683306287777, 0.21621536076264947, 0.11336055769658598, 0.2850545086946927, 0.17182050883328837, 0.06493279764637057, 0.08328112372148194, 0.15646019707951622, 0.08877520321402699, 0.026193389105365464, -0.194974793618741, 0.0668424632988478, 0.12722227064598549] |
710.3864 | Criteria for the density property of complex manifolds | In this paper we suggest new effective criteria for the density property.
This enables us to give a trivial proof of the original Anders\'en-Lempert
result and to establish (almost free of charge) the algebraic density property
for all linear algebraic groups whose connected components are different from
tori or $\C_+$. As another application of this approach we tackle the question
(asked among others by F. Forstneri\v{c}) about the density of algebraic vector
fields on Euclidean space vanishing on a codimension 2 subvariety.
| math.CV | in this paper we suggest new effective criteria for the density property this enables us to give a trivial proof of the original andersenlempert result and to establish almost free of charge the algebraic density property for all linear algebraic groups whose connected components are different from tori or c_ as another application of this approach we tackle the question asked among others by f forstnerivc about the density of algebraic vector fields on euclidean space vanishing on a codimension 2 subvariety | [['in', 'this', 'paper', 'we', 'suggest', 'new', 'effective', 'criteria', 'for', 'the', 'density', 'property', 'this', 'enables', 'us', 'to', 'give', 'a', 'trivial', 'proof', 'of', 'the', 'original', 'andersenlempert', 'result', 'and', 'to', 'establish', 'almost', 'free', 'of', 'charge', 'the', 'algebraic', 'density', 'property', 'for', 'all', 'linear', 'algebraic', 'groups', 'whose', 'connected', 'components', 'are', 'different', 'from', 'tori', 'or', 'c_', 'as', 'another', 'application', 'of', 'this', 'approach', 'we', 'tackle', 'the', 'question', 'asked', 'among', 'others', 'by', 'f', 'forstnerivc', 'about', 'the', 'density', 'of', 'algebraic', 'vector', 'fields', 'on', 'euclidean', 'space', 'vanishing', 'on', 'a', 'codimension', '2', 'subvariety']] | [-0.16383859658295788, 0.08267565678078227, -0.10231947667737741, 0.07082299559473673, -0.10522427039061923, -0.12955563120180513, 0.060126712497482755, 0.3043437859543213, -0.2863065680239077, -0.25446373206086276, 0.0857831131675417, -0.23420273366088912, -0.14508686952077124, 0.19024549825287357, -0.1093419481000704, 0.004564486500784391, -0.011398461113524874, 0.09656383254474438, -0.08806840908463771, -0.29230223647205206, 0.4164037589074635, -0.0611424032178503, 0.24123595390332545, 0.07361786462162144, 0.1207508889776541, 0.039170495762557885, -0.04246568064228064, 0.004842724860858786, -0.18370634368507238, 0.1697314397216116, 0.2960413730328494, 0.09702826780834939, 0.24940409250670997, -0.3845158589538187, -0.1752229392608037, 0.14597659986806896, 0.1304204870787699, 0.05481583998175111, 0.011588155408389866, -0.2503401897620501, 0.11746961619668049, -0.14148698399615725, -0.20354885971968675, -0.09622410511052827, 0.03236817000093075, -0.009013329936395876, -0.23110962070797275, 0.034062700321622445, 0.1337256662323276, 0.08643509206793658, -0.0686829301767142, -0.10493042978327494, -0.008287511782993267, 0.08728060998851661, 0.03566684414882485, 0.06187883954745058, 0.08747205727097647, -0.0765934529140728, -0.08559608461531219, 0.32303021858991465, -0.036788040970838286, -0.2041601100766168, 0.19400491864170608, -0.11114967945486126, -0.15046480017793706, 0.10422223478146805, 0.13953487923164376, 0.12734149226055638, -0.08199613791551134, 0.15750082231214746, -0.09371196024443545, 0.10433694626000233, 0.09132941490289097, 0.028650913100757795, 0.15055712447615294, 0.057194250757187017, 0.14976266694527401, 0.12067302227270131, 0.02981000558882043, -0.030035057644609633, -0.31410814851249863, -0.19352571872664934, -0.14469218972031164, 0.1493489129764096, -0.09045334415855993, -0.18379628591000943, 0.4255936464192573, 0.11689458065098379, 0.20740437332722472, 0.08890784264573395, 0.266468174233124, 0.0570717453942407, 0.02397648366653501, 0.08648463388586916, 0.15341887389389208, 0.19844458397284787, 0.01804680715701202, -0.12108348010721184, 0.00813770942140098, 0.16759585252133902] |
710.3865 | Inhomogeneous exclusion processes with extended objects: The effect of
defect locations | We study the effects of local inhomogeneities, i.e., slow sites of hopping
rate $q<1$, in a totally asymmetric simple exclusion process (TASEP) for
particles of size $\ell \geq 1$ (in units of the lattice spacing). We compare
the simulation results of $\ell =1$ and $\ell >1$ and notice that the existence
of local defects has qualitatively similar effects on the steady state. We
focus on the stationary current as well as the density profiles. If there is
only a single slow site in the system, we observe a significant dependence of
the current on the \emph{location} of the slow site for both $\ell =1$ and
$\ell >1$ cases. When two slow sites are introduced, more intriguing phenomena
emerge, e.g., dramatic decreases in the current when the two are close
together. In addition, we study the asymptotic behavior when
$q\to 0$. We also explore the associated density profiles and compare our
findings to an earlier study using a simple mean-field theory. We then outline
the biological significance of these effects.
| cond-mat.stat-mech | we study the effects of local inhomogeneities ie slow sites of hopping rate q1 in a totally asymmetric simple exclusion process tasep for particles of size ell geq 1 in units of the lattice spacing we compare the simulation results of ell 1 and ell 1 and notice that the existence of local defects has qualitatively similar effects on the steady state we focus on the stationary current as well as the density profiles if there is only a single slow site in the system we observe a significant dependence of the current on the emphlocation of the slow site for both ell 1 and ell 1 cases when two slow sites are introduced more intriguing phenomena emerge eg dramatic decreases in the current when the two are close together in addition we study the asymptotic behavior when qto 0 we also explore the associated density profiles and compare our findings to an earlier study using a simple meanfield theory we then outline the biological significance of these effects | [['we', 'study', 'the', 'effects', 'of', 'local', 'inhomogeneities', 'ie', 'slow', 'sites', 'of', 'hopping', 'rate', 'q1', 'in', 'a', 'totally', 'asymmetric', 'simple', 'exclusion', 'process', 'tasep', 'for', 'particles', 'of', 'size', 'ell', 'geq', '1', 'in', 'units', 'of', 'the', 'lattice', 'spacing', 'we', 'compare', 'the', 'simulation', 'results', 'of', 'ell', '1', 'and', 'ell', '1', 'and', 'notice', 'that', 'the', 'existence', 'of', 'local', 'defects', 'has', 'qualitatively', 'similar', 'effects', 'on', 'the', 'steady', 'state', 'we', 'focus', 'on', 'the', 'stationary', 'current', 'as', 'well', 'as', 'the', 'density', 'profiles', 'if', 'there', 'is', 'only', 'a', 'single', 'slow', 'site', 'in', 'the', 'system', 'we', 'observe', 'a', 'significant', 'dependence', 'of', 'the', 'current', 'on', 'the', 'emphlocation', 'of', 'the', 'slow', 'site', 'for', 'both', 'ell', '1', 'and', 'ell', '1', 'cases', 'when', 'two', 'slow', 'sites', 'are', 'introduced', 'more', 'intriguing', 'phenomena', 'emerge', 'eg', 'dramatic', 'decreases', 'in', 'the', 'current', 'when', 'the', 'two', 'are', 'close', 'together', 'in', 'addition', 'we', 'study', 'the', 'asymptotic', 'behavior', 'when', 'qto', '0', 'we', 'also', 'explore', 'the', 'associated', 'density', 'profiles', 'and', 'compare', 'our', 'findings', 'to', 'an', 'earlier', 'study', 'using', 'a', 'simple', 'meanfield', 'theory', 'we', 'then', 'outline', 'the', 'biological', 'significance', 'of', 'these', 'effects']] | [-0.1469691953659224, 0.17208868582045916, -0.045098920934833586, 0.09131376260662753, 0.02141310361080936, -0.14975844197241323, 0.06033803963232674, 0.3571493254054249, -0.2632947693928145, -0.251193608622998, 0.0795261986391519, -0.3035911823667231, -0.13450375491464955, 0.16618473779886872, 0.009881415234607024, -0.030998452522215388, 0.03266661050743312, 0.06449155432831806, -0.0473604392179931, -0.21794718936213203, 0.2994432353644654, 0.03431457865961073, 0.2669709123770839, 0.06504292935243852, 0.04057298785829473, 0.001527879471679972, -0.007589808259841188, 0.02642113735305429, -0.18678909566945853, 0.036122667160920434, 0.15881943356847236, 0.06279396901871744, 0.2488812425040773, -0.4402269094051527, -0.18310018945097303, 0.10876835754052513, 0.17285913999157423, 0.13472675478745563, -0.04383615346757454, -0.23067497691400127, 0.09594139925736402, -0.14271919772450237, -0.15207413898245986, -0.03827820090477222, 0.07224571711793985, 0.060196505094825714, -0.2542402706208772, 0.11416781052702434, 0.08507369671479821, 0.06281142706783223, -0.057811977312667295, -0.14674871546767895, -0.014404548528892476, 0.12195316828642501, 0.07012946041799123, 0.009695565692492806, 0.12556145312763484, -0.1501641426508459, -0.11945076553993636, 0.3429806876728045, -0.08127777167967343, -0.17271795456707922, 0.23076664977928713, -0.2046261326842276, -0.15294670641499883, 0.11256358903899256, 0.1713804240072412, 0.11330970773235008, -0.07596508815316026, 0.078761621662471, -0.026411278177485138, 0.14316369378052296, 0.03765954248540636, 0.008377572901995986, 0.18175071958518987, 0.16509378704358824, 0.04756096109312715, 0.13719289992254094, -0.12735790806202982, -0.10031642426647955, -0.31455867350589306, -0.12509252819360145, -0.14684514511637167, 0.06667940292390995, -0.11264969595296341, -0.11990748953983366, 0.3936822284789135, 0.15198365340863043, 0.2652114606462419, 0.039891954023568404, 0.24040257948079324, 0.10981341972157159, 0.003981537520996339, 0.05889607160948106, 0.20379096177584005, 0.1087501351811668, 0.07147847765286099, -0.23357666224252344, 0.040100383586139376, -0.0031281577983117174] |
710.3866 | Constraints on the Velocity and Spatial Distribution of Helium-like Ions
in the Wind of SMC X-1 from Observations with XMM-Newton/RGS | We present here X-ray spectra of the HMXB SMC X-1 obtained in an observation
with the XMM observatory beginning before eclipse and ending near the end of
eclipse. With the Reflection Grating Spectrometers (RGS) on board XMM, we
observe emission lines from hydrogen-like and helium-like ions of nitrogen,
oxygen, neon, magnesium, and silicon. Though the resolution of the RGS is
sufficient to resolve the helium-like n=2->1 emission into three line
components, only one of these components, the intercombination line, is
detected in our data. The lack of flux in the forbidden lines of the
helium-like triplets is explained by pumping by ultraviolet photons from the B0
star and, from this, we set an upper limit on the distance of the emitting ions
from the star. The lack of observable flux in the resonance lines of the
helium-like triplets indicate a lack of enhancement due to resonance line
scattering and, from this, we derive a new observational constraint on the
distribution of the wind in SMC X-1 in velocity and coordinate space. We find
that the solid angle subtended by the volume containing the helium-like ions at
the neutron star multiplied by the velocity dispersion of the helium-like ions
must be less than 4pi steradians km/s. This constraint will be satisfied if the
helium-like ions are located primarily in clumps distributed throughout the
wind or in a thin layer along the surface of the B0 star.
| astro-ph | we present here xray spectra of the hmxb smc x1 obtained in an observation with the xmm observatory beginning before eclipse and ending near the end of eclipse with the reflection grating spectrometers rgs on board xmm we observe emission lines from hydrogenlike and heliumlike ions of nitrogen oxygen neon magnesium and silicon though the resolution of the rgs is sufficient to resolve the heliumlike n21 emission into three line components only one of these components the intercombination line is detected in our data the lack of flux in the forbidden lines of the heliumlike triplets is explained by pumping by ultraviolet photons from the b0 star and from this we set an upper limit on the distance of the emitting ions from the star the lack of observable flux in the resonance lines of the heliumlike triplets indicate a lack of enhancement due to resonance line scattering and from this we derive a new observational constraint on the distribution of the wind in smc x1 in velocity and coordinate space we find that the solid angle subtended by the volume containing the heliumlike ions at the neutron star multiplied by the velocity dispersion of the heliumlike ions must be less than 4pi steradians kms this constraint will be satisfied if the heliumlike ions are located primarily in clumps distributed throughout the wind or in a thin layer along the surface of the b0 star | [['we', 'present', 'here', 'xray', 'spectra', 'of', 'the', 'hmxb', 'smc', 'x1', 'obtained', 'in', 'an', 'observation', 'with', 'the', 'xmm', 'observatory', 'beginning', 'before', 'eclipse', 'and', 'ending', 'near', 'the', 'end', 'of', 'eclipse', 'with', 'the', 'reflection', 'grating', 'spectrometers', 'rgs', 'on', 'board', 'xmm', 'we', 'observe', 'emission', 'lines', 'from', 'hydrogenlike', 'and', 'heliumlike', 'ions', 'of', 'nitrogen', 'oxygen', 'neon', 'magnesium', 'and', 'silicon', 'though', 'the', 'resolution', 'of', 'the', 'rgs', 'is', 'sufficient', 'to', 'resolve', 'the', 'heliumlike', 'n21', 'emission', 'into', 'three', 'line', 'components', 'only', 'one', 'of', 'these', 'components', 'the', 'intercombination', 'line', 'is', 'detected', 'in', 'our', 'data', 'the', 'lack', 'of', 'flux', 'in', 'the', 'forbidden', 'lines', 'of', 'the', 'heliumlike', 'triplets', 'is', 'explained', 'by', 'pumping', 'by', 'ultraviolet', 'photons', 'from', 'the', 'b0', 'star', 'and', 'from', 'this', 'we', 'set', 'an', 'upper', 'limit', 'on', 'the', 'distance', 'of', 'the', 'emitting', 'ions', 'from', 'the', 'star', 'the', 'lack', 'of', 'observable', 'flux', 'in', 'the', 'resonance', 'lines', 'of', 'the', 'heliumlike', 'triplets', 'indicate', 'a', 'lack', 'of', 'enhancement', 'due', 'to', 'resonance', 'line', 'scattering', 'and', 'from', 'this', 'we', 'derive', 'a', 'new', 'observational', 'constraint', 'on', 'the', 'distribution', 'of', 'the', 'wind', 'in', 'smc', 'x1', 'in', 'velocity', 'and', 'coordinate', 'space', 'we', 'find', 'that', 'the', 'solid', 'angle', 'subtended', 'by', 'the', 'volume', 'containing', 'the', 'heliumlike', 'ions', 'at', 'the', 'neutron', 'star', 'multiplied', 'by', 'the', 'velocity', 'dispersion', 'of', 'the', 'heliumlike', 'ions', 'must', 'be', 'less', 'than', '4pi', 'steradians', 'kms', 'this', 'constraint', 'will', 'be', 'satisfied', 'if', 'the', 'heliumlike', 'ions', 'are', 'located', 'primarily', 'in', 'clumps', 'distributed', 'throughout', 'the', 'wind', 'or', 'in', 'a', 'thin', 'layer', 'along', 'the', 'surface', 'of', 'the', 'b0', 'star']] | [-0.07927257400006056, 0.14196690412825272, -0.0024308892323615704, 0.03273193721778374, -0.015393278522892519, -0.11059047139665865, 0.08819221184270684, 0.431710250449783, -0.18738755638552632, -0.3164932420358379, 0.05113695924309023, -0.35719127420018965, 0.05169936698821789, 0.17094161515619527, -0.0016735893535487194, -0.03278476606702749, 0.07852440560459496, -0.04263917369411347, -0.046911264381351625, -0.17276787836788263, 0.3073618831013904, 0.05972568032955949, 0.1695534852197136, 0.04568252368691437, 0.04396838043083219, -0.05848750155022804, -0.009842369185285048, -0.03258397824730368, -0.09072361528552063, 0.10842317020225814, 0.20778027615173067, 0.11402395713648343, 0.14879333961636146, -0.40247918738329663, -0.16872751395554936, 0.029689231187977054, 0.1873963203575918, 0.03636218653199203, -0.0413459224908791, -0.3041615068932321, 0.0004836554599410676, -0.1315884533457141, -0.17612116206635503, 0.07289491615832804, 0.021649251902040013, 0.036765918415039775, -0.21938962750756083, 0.0601757064558308, 0.014321029510230144, 0.11046336247533699, -0.11293724233958315, -0.1043195722386875, -0.06102630818619373, 0.03349669444810678, 0.03586576846230062, 0.01343847902769104, 0.16171380854013595, -0.09026883519799547, -0.027446147173945296, 0.391085448973079, -0.07893835415282198, -0.030806525023852258, 0.14566475298017897, -0.23429950868532537, -0.16558575273511258, 0.25346673436145833, 0.0918655899492033, 0.13740938695226895, -0.1491569211647073, 0.039516341079898334, -0.04551251442072556, 0.24416911733990654, 0.0968498245575168, 0.04563898489057542, 0.2721224595812407, 0.07163835883665672, 0.029283014480259884, 0.13857890855610133, -0.26462296754062337, -0.024707010800534106, -0.2874129468079736, -0.15111441948039933, -0.1433171470877417, 0.06662859645513619, -0.07287336394470681, -0.13258576723449725, 0.32622008418783227, 0.0844538661155929, 0.2014000617314447, -0.06419923196427842, 0.32255284729156086, 0.1436152795436817, 0.051673239616161964, 0.086349655794812, 0.32246456523128647, 0.17526300087412622, 0.12856448857872896, -0.29150398864133403, 0.0659398717657128, 0.036166361570754584] |
710.3867 | Tidal debris from high-velocity collisions as fake dark galaxies: A
numerical model of VirgoHI21 | High speed collisions, although current in clusters of galaxies, have long
been neglected, as they are believed to cause little damages to galaxies,
except when they are repeated, a process called harassment. In fact, they are
able to produce faint but extended gaseous tails. Such low-mass, starless,
tidal debris may become detached and appear as free floating clouds in the very
deep HI surveys that are currently being carried out. We show in this paper
that these debris possess the same apparent properties as the so-called "Dark
Galaxies", objects originally detected in HI, with no optical counterpart, and
presumably dark matter dominated. We present a numerical model of the prototype
of such Dark Galaxies - VirgoHI21 -, that is able to reproduce its main
characteristics: the one-sided tail linking it to the spiral galaxy NGC 4254,
the absence of stars, and above all the reversal of the velocity gradient along
the tail originally attributed to rotation motions caused by a massive dark
matter halo and which we find to be consistent with simple streaming motions
plus projection effects. According to our numerical simulations, this tidal
debris was expelled 750 Myr ago during a fly-by at 1100 km/s of NGC 4254 by a
massive companion which should now lie at a projected distance of about 400
kpc. A candidate for the intruder is discussed. The existence of galaxies that
have never been able to form stars had already been challenged based on
theoretical and observational grounds. Tidal collisions, in particular those
occurring at high speed, provide a much more simple explanation for the origin
of such putative Dark Galaxies.
| astro-ph | high speed collisions although current in clusters of galaxies have long been neglected as they are believed to cause little damages to galaxies except when they are repeated a process called harassment in fact they are able to produce faint but extended gaseous tails such lowmass starless tidal debris may become detached and appear as free floating clouds in the very deep hi surveys that are currently being carried out we show in this paper that these debris possess the same apparent properties as the socalled dark galaxies objects originally detected in hi with no optical counterpart and presumably dark matter dominated we present a numerical model of the prototype of such dark galaxies virgohi21 that is able to reproduce its main characteristics the onesided tail linking it to the spiral galaxy ngc 4254 the absence of stars and above all the reversal of the velocity gradient along the tail originally attributed to rotation motions caused by a massive dark matter halo and which we find to be consistent with simple streaming motions plus projection effects according to our numerical simulations this tidal debris was expelled 750 myr ago during a flyby at 1100 kms of ngc 4254 by a massive companion which should now lie at a projected distance of about 400 kpc a candidate for the intruder is discussed the existence of galaxies that have never been able to form stars had already been challenged based on theoretical and observational grounds tidal collisions in particular those occurring at high speed provide a much more simple explanation for the origin of such putative dark galaxies | [['high', 'speed', 'collisions', 'although', 'current', 'in', 'clusters', 'of', 'galaxies', 'have', 'long', 'been', 'neglected', 'as', 'they', 'are', 'believed', 'to', 'cause', 'little', 'damages', 'to', 'galaxies', 'except', 'when', 'they', 'are', 'repeated', 'a', 'process', 'called', 'harassment', 'in', 'fact', 'they', 'are', 'able', 'to', 'produce', 'faint', 'but', 'extended', 'gaseous', 'tails', 'such', 'lowmass', 'starless', 'tidal', 'debris', 'may', 'become', 'detached', 'and', 'appear', 'as', 'free', 'floating', 'clouds', 'in', 'the', 'very', 'deep', 'hi', 'surveys', 'that', 'are', 'currently', 'being', 'carried', 'out', 'we', 'show', 'in', 'this', 'paper', 'that', 'these', 'debris', 'possess', 'the', 'same', 'apparent', 'properties', 'as', 'the', 'socalled', 'dark', 'galaxies', 'objects', 'originally', 'detected', 'in', 'hi', 'with', 'no', 'optical', 'counterpart', 'and', 'presumably', 'dark', 'matter', 'dominated', 'we', 'present', 'a', 'numerical', 'model', 'of', 'the', 'prototype', 'of', 'such', 'dark', 'galaxies', 'virgohi21', 'that', 'is', 'able', 'to', 'reproduce', 'its', 'main', 'characteristics', 'the', 'onesided', 'tail', 'linking', 'it', 'to', 'the', 'spiral', 'galaxy', 'ngc', '4254', 'the', 'absence', 'of', 'stars', 'and', 'above', 'all', 'the', 'reversal', 'of', 'the', 'velocity', 'gradient', 'along', 'the', 'tail', 'originally', 'attributed', 'to', 'rotation', 'motions', 'caused', 'by', 'a', 'massive', 'dark', 'matter', 'halo', 'and', 'which', 'we', 'find', 'to', 'be', 'consistent', 'with', 'simple', 'streaming', 'motions', 'plus', 'projection', 'effects', 'according', 'to', 'our', 'numerical', 'simulations', 'this', 'tidal', 'debris', 'was', 'expelled', '750', 'myr', 'ago', 'during', 'a', 'flyby', 'at', '1100', 'kms', 'of', 'ngc', '4254', 'by', 'a', 'massive', 'companion', 'which', 'should', 'now', 'lie', 'at', 'a', 'projected', 'distance', 'of', 'about', '400', 'kpc', 'a', 'candidate', 'for', 'the', 'intruder', 'is', 'discussed', 'the', 'existence', 'of', 'galaxies', 'that', 'have', 'never', 'been', 'able', 'to', 'form', 'stars', 'had', 'already', 'been', 'challenged', 'based', 'on', 'theoretical', 'and', 'observational', 'grounds', 'tidal', 'collisions', 'in', 'particular', 'those', 'occurring', 'at', 'high', 'speed', 'provide', 'a', 'much', 'more', 'simple', 'explanation', 'for', 'the', 'origin', 'of', 'such', 'putative', 'dark', 'galaxies']] | [-0.09636864496554297, 0.11126306424043457, -0.130841706394519, 0.14145296162957965, -0.1332504576627039, -0.07029946229798734, -0.011399046266258912, 0.41544724566707936, -0.17608364163967954, -0.3362414046659842, 0.058254773651960454, -0.2677856384552455, -0.06304879151574092, 0.18452103195241057, -0.043510810785429704, -0.010990428473297996, 0.048946670900340564, -0.036025848531026805, -0.006062984216653679, -0.287361515085458, 0.26117843311259004, 0.09333008253687373, 0.11753207549590204, -0.02931727219856155, 0.07727987492322236, -0.12086153322878063, -0.04537267963549899, -0.01649926563520164, -0.13656487395337877, 0.006058744217454687, 0.23549788705899583, 0.0857676381276274, 0.25222109566019024, -0.41943053197101654, -0.2223974379901888, 0.11146265304738417, 0.23129831700186645, 0.06672489295514035, -0.11676016469102894, -0.31996662585332614, 0.12447046050740602, -0.22032144902706413, -0.19736296478203758, 0.02452492135878008, 0.060640538652266436, 0.023661397059651135, -0.16326319140774248, 0.15429004466141874, 0.049805953934144484, 0.06441554419619304, -0.07932410036043887, -0.1027590582563885, -0.03972455781019692, 0.046431686249636006, 0.07429229949863148, 0.05825612403599447, 0.2002586742645984, -0.14292850696369724, -0.026792794203865378, 0.43758211896625254, -0.04979879325435462, -0.03376853273686064, 0.2892237648672487, -0.17801005711745738, -0.17256039519150063, 0.15128281864572204, 0.1373261936303032, 0.07810692260211642, -0.169966363976808, -0.012417219175923882, -0.05100111322673528, 0.166170414413336, 0.08928831710210561, 0.05758011243285312, 0.34953811982492533, 0.09401098973248188, 0.039428563069034, 0.07456327642137325, -0.175525227466185, -0.07146599575793161, -0.24284045392808443, -0.09416235568259206, -0.1348228245556505, 0.04749750694863085, -0.05084426526418542, -0.12785926462970393, 0.29390823855012294, 0.11997328852207043, 0.22845373140591987, 0.01983503639370665, 0.30688800604460775, 0.06565214312176704, 0.16808482099331468, 0.1461722867237754, 0.3259350195250481, 0.153489242920554, 0.06822468644477203, -0.19258283059457598, 0.10417538453256746, -0.030581555175647503] |
710.3868 | Formation, Survival, and Destruction of Vortices in Accretion Disks | Two dimensional hydrodynamical disks are nonlinearly unstable to the
formation of vortices. Once formed, these vortices essentially survive forever.
What happens in three dimensions? We show with pseudospectral simulations that
in 3D a vortex in a short box forms and survives just as in 2D. But a vortex in
a tall box is unstable and is destroyed. In our simulation, the unstable vortex
decays into a transient turbulent-like state that transports angular momentum
outward at a nearly constant rate for hundreds of orbital times. The 3D
instability that destroys vortices is a generalization of the 2D instability
that forms them. We derive the conditions for these nonlinear instabilities to
act by calculating the coupling between linear modes, and thereby derive the
criterion for a vortex to survive in 3D as it does in 2D: the azimuthal extent
of the vortex must be larger than the scale height of the accretion disk. When
this criterion is violated, the vortex is unstable and decays. Because vortices
are longer in azimuthal than in radial extent by a factor that is inversely
proportional to their excess vorticity, a vortex with given radial extent will
only survive in a 3D disk if it is sufficiently weak. This counterintuitive
result explains why previous 3D simulations always yielded decaying vortices:
their vortices were too strong. We conclude that in protoplanetary disks weak
vortices can trap dust and serve as the nurseries of planet formation. Decaying
strong vortices might be responsible for the outwards transport of angular
momentum that is required to make accretion disks accrete.
| astro-ph | two dimensional hydrodynamical disks are nonlinearly unstable to the formation of vortices once formed these vortices essentially survive forever what happens in three dimensions we show with pseudospectral simulations that in 3d a vortex in a short box forms and survives just as in 2d but a vortex in a tall box is unstable and is destroyed in our simulation the unstable vortex decays into a transient turbulentlike state that transports angular momentum outward at a nearly constant rate for hundreds of orbital times the 3d instability that destroys vortices is a generalization of the 2d instability that forms them we derive the conditions for these nonlinear instabilities to act by calculating the coupling between linear modes and thereby derive the criterion for a vortex to survive in 3d as it does in 2d the azimuthal extent of the vortex must be larger than the scale height of the accretion disk when this criterion is violated the vortex is unstable and decays because vortices are longer in azimuthal than in radial extent by a factor that is inversely proportional to their excess vorticity a vortex with given radial extent will only survive in a 3d disk if it is sufficiently weak this counterintuitive result explains why previous 3d simulations always yielded decaying vortices their vortices were too strong we conclude that in protoplanetary disks weak vortices can trap dust and serve as the nurseries of planet formation decaying strong vortices might be responsible for the outwards transport of angular momentum that is required to make accretion disks accrete | [['two', 'dimensional', 'hydrodynamical', 'disks', 'are', 'nonlinearly', 'unstable', 'to', 'the', 'formation', 'of', 'vortices', 'once', 'formed', 'these', 'vortices', 'essentially', 'survive', 'forever', 'what', 'happens', 'in', 'three', 'dimensions', 'we', 'show', 'with', 'pseudospectral', 'simulations', 'that', 'in', '3d', 'a', 'vortex', 'in', 'a', 'short', 'box', 'forms', 'and', 'survives', 'just', 'as', 'in', '2d', 'but', 'a', 'vortex', 'in', 'a', 'tall', 'box', 'is', 'unstable', 'and', 'is', 'destroyed', 'in', 'our', 'simulation', 'the', 'unstable', 'vortex', 'decays', 'into', 'a', 'transient', 'turbulentlike', 'state', 'that', 'transports', 'angular', 'momentum', 'outward', 'at', 'a', 'nearly', 'constant', 'rate', 'for', 'hundreds', 'of', 'orbital', 'times', 'the', '3d', 'instability', 'that', 'destroys', 'vortices', 'is', 'a', 'generalization', 'of', 'the', '2d', 'instability', 'that', 'forms', 'them', 'we', 'derive', 'the', 'conditions', 'for', 'these', 'nonlinear', 'instabilities', 'to', 'act', 'by', 'calculating', 'the', 'coupling', 'between', 'linear', 'modes', 'and', 'thereby', 'derive', 'the', 'criterion', 'for', 'a', 'vortex', 'to', 'survive', 'in', '3d', 'as', 'it', 'does', 'in', '2d', 'the', 'azimuthal', 'extent', 'of', 'the', 'vortex', 'must', 'be', 'larger', 'than', 'the', 'scale', 'height', 'of', 'the', 'accretion', 'disk', 'when', 'this', 'criterion', 'is', 'violated', 'the', 'vortex', 'is', 'unstable', 'and', 'decays', 'because', 'vortices', 'are', 'longer', 'in', 'azimuthal', 'than', 'in', 'radial', 'extent', 'by', 'a', 'factor', 'that', 'is', 'inversely', 'proportional', 'to', 'their', 'excess', 'vorticity', 'a', 'vortex', 'with', 'given', 'radial', 'extent', 'will', 'only', 'survive', 'in', 'a', '3d', 'disk', 'if', 'it', 'is', 'sufficiently', 'weak', 'this', 'counterintuitive', 'result', 'explains', 'why', 'previous', '3d', 'simulations', 'always', 'yielded', 'decaying', 'vortices', 'their', 'vortices', 'were', 'too', 'strong', 'we', 'conclude', 'that', 'in', 'protoplanetary', 'disks', 'weak', 'vortices', 'can', 'trap', 'dust', 'and', 'serve', 'as', 'the', 'nurseries', 'of', 'planet', 'formation', 'decaying', 'strong', 'vortices', 'might', 'be', 'responsible', 'for', 'the', 'outwards', 'transport', 'of', 'angular', 'momentum', 'that', 'is', 'required', 'to', 'make', 'accretion', 'disks', 'accrete']] | [-0.16646360158613457, 0.22348142692155037, -0.07416027392506196, 0.10387450439292331, -0.05986727321206397, -0.11545569340377151, -0.031046350521771886, 0.34980709718309283, -0.24794170712728852, -0.25029662320328977, 0.0834904293138931, -0.23482211930821686, -0.06105634676068732, 0.1818593817315418, 0.0018682907481092144, 0.013623585437186236, 0.06580970224756531, -0.03658807326501683, -0.039013182096879984, -0.23544777966783087, 0.31528103724302536, 0.047628785726296634, 0.2139975240999154, 0.01979128592611514, 0.0308785783324924, -0.09518755840267552, 0.01266018984759905, 0.03416821166382048, -0.19299273026029037, 0.007773523371894086, 0.1775791274840301, 0.02647364882449078, 0.2538334412298115, -0.4880400035609744, -0.1974253346493771, 0.07773069009480839, 0.2534124076694914, 0.15097705559631766, -0.036262232799429535, -0.22243194981449277, 0.10193057238465435, -0.13940335110970592, -0.19646952650870753, -0.04797663295266125, 0.08724433372280914, 0.012535824624518322, -0.28328141114537336, 0.13988361177359557, 0.12521152542687433, 0.02529133071920107, -0.07832309756113953, -0.01725490990296988, -0.12430281329326072, 0.060637839787026915, 0.07379512089555505, 0.06287536052571856, 0.16116857033064083, -0.1758184429273506, -0.046478088499342866, 0.38614624709093065, -0.04838264858688123, -0.18876996755874317, 0.22025398729195775, -0.21206619304536242, -0.04952330580576821, 0.20419622106520935, 0.16115417183320896, 0.10800086313952482, -0.044289830341394144, -0.01173510997580516, -0.09316797203081119, 0.1590970077365998, 0.10778325990604078, 0.04513470270461584, 0.3478605229111547, 0.15965409569222075, 0.06817742918803926, 0.12743547057296156, -0.14501023386948464, -0.12244004477492296, -0.26887982057645743, -0.1524769386940802, -0.1778633796868037, 0.06410254823141406, -0.03426495961665109, -0.15113633334665566, 0.3159310357147005, 0.12925708173054934, 0.2300996993825854, 0.004270649301213061, 0.29557464515082826, 0.09354174693111446, 0.13952594553932635, 0.1309170677676768, 0.28740775026381016, 0.11920563141903803, 0.12838686087286974, -0.23986501440129698, 0.03314831784958843, 0.061406415673974514] |
710.3869 | Khasminskii--Whitham averaging for randomly perturbed KdV equation | We consider the damped-driven KdV equation $$ \dot
u-\nu{u_{xx}}+u_{xxx}-6uu_x=\sqrt\nu \eta(t,x), x\in S^1, \int u dx\equiv
\int\eta dx\equiv0, $$ where $0<\nu\le1$ and the random process $\eta$ is
smooth in $x$ and white in $t$. For any periodic function $u(x)$ let $
I=(I_1,I_2,...) $ be the vector, formed by the KdV integrals of motion,
calculated for the potential $u(x)$. We prove that if $u(t,x)$ is a solution of
the equation above, then for $0\le t\lesssim\nu^{-1}$ and $\nu\to0$ the vector
$ I(t)=(I_1(u(t,\cdot)),I_2(u(t,\cdot)),...) $ satisfies the (Whitham) averaged
equation.
| math.AP math-ph math.MP | we consider the dampeddriven kdv equation dot unuu_xxu_xxx6uu_xsqrtnu etatx xin s1 int u dxequiv inteta dxequiv0 where 0nule1 and the random process eta is smooth in x and white in t for any periodic function ux let ii_1i_2 be the vector formed by the kdv integrals of motion calculated for the potential ux we prove that if utx is a solution of the equation above then for 0le tlesssimnu1 and nuto0 the vector iti_1utcdoti_2utcdot satisfies the whitham averaged equation | [['we', 'consider', 'the', 'dampeddriven', 'kdv', 'equation', 'dot', 'unuu_xxu_xxx6uu_xsqrtnu', 'etatx', 'xin', 's1', 'int', 'u', 'dxequiv', 'inteta', 'dxequiv0', 'where', '0nule1', 'and', 'the', 'random', 'process', 'eta', 'is', 'smooth', 'in', 'x', 'and', 'white', 'in', 't', 'for', 'any', 'periodic', 'function', 'ux', 'let', 'ii_1i_2', 'be', 'the', 'vector', 'formed', 'by', 'the', 'kdv', 'integrals', 'of', 'motion', 'calculated', 'for', 'the', 'potential', 'ux', 'we', 'prove', 'that', 'if', 'utx', 'is', 'a', 'solution', 'of', 'the', 'equation', 'above', 'then', 'for', '0le', 'tlesssimnu1', 'and', 'nuto0', 'the', 'vector', 'iti_1utcdoti_2utcdot', 'satisfies', 'the', 'whitham', 'averaged', 'equation']] | [-0.19798903647338, 0.10626967227689817, -0.03774411525433018, 0.02649337994554232, -0.038289183094887665, -0.17688886803561743, -0.019673314191479708, 0.30444917566484025, -0.3415822480398584, -0.11137235903797645, 0.07634483989734779, -0.3661655361278796, -0.1218893152569801, 0.16352753598295466, -0.03638720393679302, 0.0637355787732022, 0.0533241722470438, 0.10140190741070218, -0.07818280561486075, -0.21559823414271462, 0.3537062873512926, -0.1659057206198783, 0.12530022690361234, 0.03259041948689961, 0.18659167448189898, 0.046211097730507314, 0.08183921721409744, -0.09076669581667324, -0.24104827947139454, -0.033926098607480526, 0.19303804761926893, 0.07287688209334205, 0.26637454347317696, -0.37012581249148074, -0.23256923380294736, 0.15937874992181297, 0.1908360891647532, -0.07218992262816346, 0.020886291352979525, -0.3290684236029924, 0.15429780825408518, -0.08354062327301838, -0.22360511703259298, -0.03371745958583246, 0.16843426106891163, 0.14844996995017143, -0.3660674405507219, 0.1456209697668821, 0.08416638680254962, -0.0485388818656055, -0.16309677513683557, -0.121273040928891, -0.08629138826090894, 0.0004950371361009671, 0.007859343004947476, 0.17314820912417392, 0.016578571149475977, -0.1298327848616935, 0.0023144749977009396, 0.37256160451338666, -0.16977482595526888, -0.2986095171556218, 0.013671257893856563, -0.20254148733080693, -0.09734192969356205, 0.10110433313103628, 0.10697858664535091, 0.13970127659784237, -0.15825016654267068, 0.23840086392707413, -0.03480423655046124, 0.12383022687634007, 0.08514597604024998, -0.04981521782334107, 0.0992377703668366, 0.10623379703611135, 0.054406764523559054, 0.06582073054217379, -0.06692842537747093, -0.0711667346325375, -0.35741918145770757, -0.1877972300256222, -0.14777593905578407, 0.16998323565676912, -0.12057988036487048, -0.1570992281030811, 0.28751387212320534, 0.10019540781496276, 0.16605016876431838, 0.03587507882850691, 0.17229349262566424, 0.27089808575651597, -0.04647040440582893, 0.13442365090611955, 0.09803275016634921, 0.1635596558534045, 0.16081375851702523, -0.20654436238733134, -0.015387040300583335, 0.16291619460819892] |
710.387 | The WKB method for conjugate points in the volumorphism group | In this paper, we are interested in the location of conjugate points along a
geodesic in the volumorphism group of a compact three-dimensional manifold
without boundary (the configuration space of an ideal fluid). As shown in the
author's previous work, these are typically pathological, i.e., they can occur
in clusters along a geodesic, unlike on finite-dimensional Riemannian
manifolds. (This phenomenon does not occur for the volumorphism groups of
two-dimensional manifolds, which are known to have discrete conjugate points
along any geodesic by Ebin-Misiolek-Preston.) We give an explicit algorithm for
finding them in terms of a certain ordinary differential equation, derived via
the WKB-approximation methods of Lifschitz-Hameiri and Friedlander-Vishik. We
prove that for a typical geodesic in the volumorphism group, there will be
pathological conjugate point locations filling up closed intervals; hence
typically the zeroes of Jacobi fields on the volumorphism group are dense in
intervals.
| math.AP math.DG | in this paper we are interested in the location of conjugate points along a geodesic in the volumorphism group of a compact threedimensional manifold without boundary the configuration space of an ideal fluid as shown in the authors previous work these are typically pathological ie they can occur in clusters along a geodesic unlike on finitedimensional riemannian manifolds this phenomenon does not occur for the volumorphism groups of twodimensional manifolds which are known to have discrete conjugate points along any geodesic by ebinmisiolekpreston we give an explicit algorithm for finding them in terms of a certain ordinary differential equation derived via the wkbapproximation methods of lifschitzhameiri and friedlandervishik we prove that for a typical geodesic in the volumorphism group there will be pathological conjugate point locations filling up closed intervals hence typically the zeroes of jacobi fields on the volumorphism group are dense in intervals | [['in', 'this', 'paper', 'we', 'are', 'interested', 'in', 'the', 'location', 'of', 'conjugate', 'points', 'along', 'a', 'geodesic', 'in', 'the', 'volumorphism', 'group', 'of', 'a', 'compact', 'threedimensional', 'manifold', 'without', 'boundary', 'the', 'configuration', 'space', 'of', 'an', 'ideal', 'fluid', 'as', 'shown', 'in', 'the', 'authors', 'previous', 'work', 'these', 'are', 'typically', 'pathological', 'ie', 'they', 'can', 'occur', 'in', 'clusters', 'along', 'a', 'geodesic', 'unlike', 'on', 'finitedimensional', 'riemannian', 'manifolds', 'this', 'phenomenon', 'does', 'not', 'occur', 'for', 'the', 'volumorphism', 'groups', 'of', 'twodimensional', 'manifolds', 'which', 'are', 'known', 'to', 'have', 'discrete', 'conjugate', 'points', 'along', 'any', 'geodesic', 'by', 'ebinmisiolekpreston', 'we', 'give', 'an', 'explicit', 'algorithm', 'for', 'finding', 'them', 'in', 'terms', 'of', 'a', 'certain', 'ordinary', 'differential', 'equation', 'derived', 'via', 'the', 'wkbapproximation', 'methods', 'of', 'lifschitzhameiri', 'and', 'friedlandervishik', 'we', 'prove', 'that', 'for', 'a', 'typical', 'geodesic', 'in', 'the', 'volumorphism', 'group', 'there', 'will', 'be', 'pathological', 'conjugate', 'point', 'locations', 'filling', 'up', 'closed', 'intervals', 'hence', 'typically', 'the', 'zeroes', 'of', 'jacobi', 'fields', 'on', 'the', 'volumorphism', 'group', 'are', 'dense', 'in', 'intervals']] | [-0.1933155805565266, 0.10743472563995632, -0.08349390348262141, 0.072358064702712, -0.09639601692603245, -0.09500309271724816, 0.01646823081446969, 0.40540111067534335, -0.254944285732025, -0.23101492798034573, 0.12258303677007346, -0.2605760629833217, -0.15703807753169727, 0.21992817020345426, -0.12528012986016185, 0.030805628736910055, 0.06907931306812598, 0.1264030158349221, -0.12052828006634511, -0.23369801940288212, 0.3949301965062467, -0.04078820815148376, 0.2144345729546228, -0.010566513749285482, 0.10840392634469334, -0.025729893405042902, -0.017621828526796276, 0.04585733112832367, -0.12623953636807209, 0.07801007777067151, 0.2713974780717891, 0.04624351158469233, 0.2254189536447676, -0.41755308473194147, -0.2232619994467544, 0.17370410676156892, 0.20299061229386905, 0.0615637098188171, -0.03548798993357759, -0.28450857850552447, 0.0972665931117839, -0.07563492796764197, -0.16248322228087822, -0.05798385251300331, 0.008755503314166841, 0.03711631991506987, -0.19801026398093033, 0.06293280976070223, 0.09054546204188996, 0.09722516742784162, -0.053339861123494696, -0.08370245084441988, -0.023488220827601537, 0.11231440928121897, 0.02872608212793482, 0.045630927571475924, 0.09660036512322619, -0.06979150306367853, -0.0880745319013392, 0.3793272561013279, -0.02697786904582885, -0.29473010207307904, 0.17455644534841758, -0.14677113962595836, -0.1668698505767372, 0.15456103424633472, 0.16356159941273624, 0.16826808529341936, -0.12688908279007693, 0.1327633565807433, -0.07699421061199604, 0.05509578687582382, 0.08932584574000096, -0.02867006920081314, 0.16644511274127682, 0.05509527563773305, 0.1256907430352827, 0.08975235839016919, -0.027776009210714953, -0.09613597909526402, -0.34466163370705827, -0.21351980408456858, -0.1539424803291618, 0.06967321660832426, -0.10972030283905759, -0.2138016535595148, 0.35779181441856206, 0.06676660075088517, 0.2164810780160339, 0.05522794975213785, 0.23173106570636304, 0.09295380025410133, 0.04037828348793457, 0.13347771657716062, 0.19329287174721838, 0.10433594868879136, 0.011275896170458585, -0.14473375445887657, -0.002791421074735027, 0.12691471168220464] |
710.3871 | Algebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and
Universal Classes | This paper is the first in a series of three, the aim of which is to lay the
foundations of algebraic geometry over the free metabelian Lie algebra $F$. In
the current paper we introduce the notion of a metabelian Lie $U$-algebra and
establish connections between metabelian Lie $U$-algebras and special matrix
Lie algebras. We define the $\Delta $-localisation of a metabelian Lie
$U$-algebra $A$ and the direct module extension of the Fitting's radical of $A$
and show that these algebras lie in the universal closure of $A$.
| math.AG math.LO | this paper is the first in a series of three the aim of which is to lay the foundations of algebraic geometry over the free metabelian lie algebra f in the current paper we introduce the notion of a metabelian lie ualgebra and establish connections between metabelian lie ualgebras and special matrix lie algebras we define the delta localisation of a metabelian lie ualgebra a and the direct module extension of the fittings radical of a and show that these algebras lie in the universal closure of a | [['this', 'paper', 'is', 'the', 'first', 'in', 'a', 'series', 'of', 'three', 'the', 'aim', 'of', 'which', 'is', 'to', 'lay', 'the', 'foundations', 'of', 'algebraic', 'geometry', 'over', 'the', 'free', 'metabelian', 'lie', 'algebra', 'f', 'in', 'the', 'current', 'paper', 'we', 'introduce', 'the', 'notion', 'of', 'a', 'metabelian', 'lie', 'ualgebra', 'and', 'establish', 'connections', 'between', 'metabelian', 'lie', 'ualgebras', 'and', 'special', 'matrix', 'lie', 'algebras', 'we', 'define', 'the', 'delta', 'localisation', 'of', 'a', 'metabelian', 'lie', 'ualgebra', 'a', 'and', 'the', 'direct', 'module', 'extension', 'of', 'the', 'fittings', 'radical', 'of', 'a', 'and', 'show', 'that', 'these', 'algebras', 'lie', 'in', 'the', 'universal', 'closure', 'of', 'a']] | [-0.1926019181661746, 0.037158253997126044, -0.0817055483786937, 0.03847803862025852, -0.1449468671618139, -0.09390200816971414, 0.017576835745507304, 0.3623338727828334, -0.36781004101914516, -0.19807801439481623, 0.12188146708341425, -0.1805311526034904, -0.1774393458467196, 0.18474325790782184, -0.11262428771211382, -0.07887641092871918, 0.040622403122046416, 0.15370280776611145, -0.15609714719466866, -0.21095236919765525, 0.41701898404999693, 0.0024061269948587698, 0.19973781794747886, 0.0483691488063093, 0.12375367238898488, -0.004633947500192067, -0.048179193629938014, -0.02295555341988802, -0.17692298124148853, 0.18467484703561401, 0.33387186847188893, 0.0478818842319443, 0.2573503194048124, -0.3515271822209744, -0.08997158009339781, 0.16694069336004116, 0.13647157678051908, 0.016995879811892177, -0.03700997099718627, -0.24675280371790423, 0.09139595559852964, -0.25700806585304875, -0.10001695457065259, 0.0043976389666033145, 0.07001903890906011, 0.005907235338407404, -0.18924679816426598, 0.03832869420156759, 0.10771237162544448, 0.17277629131122546, -0.08335013730341898, -0.05920145483002724, -0.018195013888180255, 0.09080669645439177, -0.07187509229954551, -0.02414564966936322, 0.11449760098339004, -0.08857074241044328, -0.1576163787723464, 0.40856164132847506, -0.0004462409216691466, -0.2022236923871199, 0.15846817149397205, -0.21195732986225801, -0.20506083213669413, 0.06202408431015689, 0.07158838531057186, 0.13341504462501583, -0.08261017076232854, 0.2128984276068342, -0.13767581512494123, 0.014159191498423323, 0.03343370329479084, -0.029592328294015983, 0.1571075371439185, 0.15949305767083868, 0.0619684006251833, 0.11445780084194505, 0.01275575254112482, 0.018589602199533733, -0.41697161101243074, -0.2631355456953101, -0.09347736868349944, 0.08269908051280414, -0.07146811446154436, -0.18005740237148368, 0.48030751367263935, 0.15153871441588682, 0.1835481184644296, 0.14413593625238932, 0.19027183082995608, 0.0898170875837369, 0.10389536417582455, 0.056413780952639436, 0.16028427210472085, 0.2805884170345962, -0.035620588651748705, -0.15100599501062842, -0.058906939812004566, 0.16970043648034333] |
710.3872 | Algebraic Geometry over Free Metabelian Lie Algebra II: Finite Field
Case | This paper is the second in a series of three, the aim of which is to
construct algebraic geometry over a free metabelian Lie algebra $F$. For the
universal closure of free metabelian Lie algebra of finite rank $r \ge 2$ over
a finite field $k$ we find a convenient set of axioms in the language of Lie
algebras $L$ and the language $L_{F}$ enriched by constants from $F$. We give a
description of:
* The structure of finitely generated algebras from the universal closure of
$F_r$ in both $L$ and $L_{F_r}$
* The structure of irreducible algebraic sets over $F_r $ and respective
coordinate algebras.
We also prove that the universal theory of a free metabelian Lie algebra over
a finite field is decidable in both languages.
| math.AG math.LO | this paper is the second in a series of three the aim of which is to construct algebraic geometry over a free metabelian lie algebra f for the universal closure of free metabelian lie algebra of finite rank r ge 2 over a finite field k we find a convenient set of axioms in the language of lie algebras l and the language l_f enriched by constants from f we give a description of the structure of finitely generated algebras from the universal closure of f_r in both l and l_f_r the structure of irreducible algebraic sets over f_r and respective coordinate algebras we also prove that the universal theory of a free metabelian lie algebra over a finite field is decidable in both languages | [['this', 'paper', 'is', 'the', 'second', 'in', 'a', 'series', 'of', 'three', 'the', 'aim', 'of', 'which', 'is', 'to', 'construct', 'algebraic', 'geometry', 'over', 'a', 'free', 'metabelian', 'lie', 'algebra', 'f', 'for', 'the', 'universal', 'closure', 'of', 'free', 'metabelian', 'lie', 'algebra', 'of', 'finite', 'rank', 'r', 'ge', '2', 'over', 'a', 'finite', 'field', 'k', 'we', 'find', 'a', 'convenient', 'set', 'of', 'axioms', 'in', 'the', 'language', 'of', 'lie', 'algebras', 'l', 'and', 'the', 'language', 'l_f', 'enriched', 'by', 'constants', 'from', 'f', 'we', 'give', 'a', 'description', 'of', 'the', 'structure', 'of', 'finitely', 'generated', 'algebras', 'from', 'the', 'universal', 'closure', 'of', 'f_r', 'in', 'both', 'l', 'and', 'l_f_r', 'the', 'structure', 'of', 'irreducible', 'algebraic', 'sets', 'over', 'f_r', 'and', 'respective', 'coordinate', 'algebras', 'we', 'also', 'prove', 'that', 'the', 'universal', 'theory', 'of', 'a', 'free', 'metabelian', 'lie', 'algebra', 'over', 'a', 'finite', 'field', 'is', 'decidable', 'in', 'both', 'languages']] | [-0.19168727224197, 0.0985889605231463, -0.08288210939480772, 0.04746693119804765, -0.11997964940289216, -0.11112143223609534, -0.006547453899627491, 0.3558741056044856, -0.38530251807758525, -0.18681705621777162, 0.07123440424085505, -0.19799205222197117, -0.08895242001181619, 0.22900393733664626, -0.08141990292877439, -0.061543135197773095, 0.011439840850089826, 0.19134356627511162, -0.13547920386659942, -0.2504849611113088, 0.38364451867152727, -0.053521078844149146, 0.20351985894564179, 0.007233727851041382, 0.1363266022094796, 0.004688233317386719, -0.03158982757914571, 0.02520878531128889, -0.17612924705656863, 0.13737428020836123, 0.3542720926099367, 0.10058861670287085, 0.2334321951380961, -0.3369560959343348, -0.09737701783888042, 0.14483468325042556, 0.1508671774025706, 0.00684164920652796, -0.006093500424251561, -0.22478280810924667, 0.13685883535823273, -0.2543876282269916, -0.08000451848737054, -0.027286517231034174, 0.12701025944965472, -0.007871709358427794, -0.22558949904933182, 0.0024349327523527937, 0.11514063492687719, 0.2048147423005092, -0.09217852450561739, -0.08098866161327029, -0.06081515977031461, 0.06262375923970173, -0.06869975634993264, 0.025562664565269747, 0.10642213628518456, -0.07861421739254447, -0.12443004019798772, 0.3841976962022243, -0.03812077797708973, -0.20805993336703507, 0.13756159012536368, -0.2132730199537623, -0.17289440996283967, 0.1332261558592079, 0.06726410312976147, 0.1299219446882489, -0.06357733138570291, 0.30538041065606636, -0.14359381784039038, 0.07876297383148584, 0.07078500058231575, -0.023157981393348064, 0.13543852713830287, 0.1046883694943972, 0.039839494226109835, 0.1202105572484734, 0.07080925694261227, 0.013425566932006229, -0.41558633047726845, -0.18110356862176089, -0.10302811990972728, 0.11537077433369573, -0.1109522236319824, -0.21272137782145892, 0.4420641042158804, 0.09900879114866257, 0.1463827597608249, 0.14139317960061523, 0.19222656714038983, 0.07321624230180826, 0.11153557128789308, 0.07674451518969069, 0.058450922054509004, 0.25637722056501755, -0.05293892480192646, -0.15338157717680237, -0.055325088797197226, 0.1806969262899891] |
710.3873 | Semidomains and Metabelian Product of Metabelian Lie Algebras | This paper is the third in a series of papers, the aim of which is to
construct algebraic geometry over metabelian Lie algebras.
| math.AG math.LO | this paper is the third in a series of papers the aim of which is to construct algebraic geometry over metabelian lie algebras | [['this', 'paper', 'is', 'the', 'third', 'in', 'a', 'series', 'of', 'papers', 'the', 'aim', 'of', 'which', 'is', 'to', 'construct', 'algebraic', 'geometry', 'over', 'metabelian', 'lie', 'algebras']] | [-0.1773059072944781, -0.0038761767842199492, -0.11158031581536583, 0.010908679414095113, -0.17559166600846726, -0.05821757891174892, -0.04334886667176919, 0.3252088659159515, -0.346381070173305, -0.23063689356912737, 0.1405690687495972, -0.22464043080158855, -0.17026259993081508, 0.195344770975087, -0.19668345262660927, -0.09044878828622725, 0.0050359702385638075, 0.14252531666146673, -0.10713806343467339, -0.35406569666836574, 0.44879227909057035, 0.04759497259257604, 0.18992332830701186, -0.013880976759221243, 0.09939156845211983, -0.047512280967329505, -0.09112483473575633, -0.03533352538943291, -0.16539412781434215, 0.21270062936388928, 0.4048678836096888, 0.025688975968438645, 0.28056067617043207, -0.3195776033984578, -0.10127171193775923, 0.13751010936887367, 0.17673379579639953, 0.0683696034475756, 0.013557325724674307, -0.19976070004960764, 0.10201152466723452, -0.2455841709414254, -0.1120477819653309, -0.0051100203848403435, 0.08238393100707428, -0.003149159333628157, -0.1935885441691979, 0.013039066537242868, 0.08588118535345016, 0.17580055542614148, -0.045901529086024864, 0.010407354687745481, 0.025815518815880237, 0.08406502638093155, -0.008488355062740005, 0.009392130836520506, 0.06142396660035719, -0.02568991529836279, -0.1599571845372734, 0.38555116578936577, 0.006654562833516494, -0.19141502743181976, 0.12933691947356515, -0.19608674417047398, -0.2303137970359429, 0.11787350929301718, 0.14754050046853398, 0.16535806817852933, -0.15295412205159664, 0.20474632452849462, -0.13289650110527873, 0.05883911717683077, 0.06325539930359177, -0.07335970765384643, 0.15072218150548314, 0.1367642796071975, 0.03835171691911376, 0.16818654537200928, 0.04958668345099558, -0.01093045209089051, -0.37778233186058374, -0.22771293416862254, -0.1345886418838864, 0.09050295639621175, -0.010746369239590738, -0.20592764214329098, 0.517893550188645, 0.13330098209173782, 0.14545111925057744, 0.10110779945313444, 0.2351959924335065, 0.08742615474266527, 0.0735223105420237, 0.040866273374337216, 0.1309835802682716, 0.26590994324373163, 0.039031976889616446, -0.08896565085034007, -0.02624137233942747, 0.19784713354285643] |
710.3874 | Equilibrium sequences of non rotating and rapidly rotating crystalline
color superconducting hybrid stars | The three-flavor crystalline color-superconducting (CCS) phase of quantum
chromodynamics (QCD) is a candidate phase for the ground state of cold matter
at moderate densities above the density of the deconfinement phase transition.
Apart from being a superfluid, the CCS phase has properties of a solid, such as
a lattice structure and a shear modulus, and hence the ability to sustain
multipolar deformations in gravitational equilibrium. We construct equilibrium
configurations of hybrid stars composed of nuclear matter at low, and CCS quark
matter at high, densities. Phase equilibrium between these phases is possible
only for rather stiff equations of state of nuclear matter and large couplings
in the effective Nambu--Jona-Lasinio Lagrangian describing the CCS state. We
identify a new branch of stable CCS hybrid stars within a broad range of
central densities which, depending on the details of the equations of state,
either bifurcate from the nuclear sequence of stars when the central density
exceeds that of the deconfinement phase transition or form a new family of
configurations separated from the purely nuclear sequence by an instability
region. The maximum masses of our non-rotating hybrid configurations are
consistent with the presently available astronomical bounds. The sequences of
hybrid configurations that rotate near the mass-shedding limit are found to be
more compact and thus support substantially larger spins than their same mass
nuclear counterparts.
| astro-ph cond-mat.supr-con hep-ph nucl-th | the threeflavor crystalline colorsuperconducting ccs phase of quantum chromodynamics qcd is a candidate phase for the ground state of cold matter at moderate densities above the density of the deconfinement phase transition apart from being a superfluid the ccs phase has properties of a solid such as a lattice structure and a shear modulus and hence the ability to sustain multipolar deformations in gravitational equilibrium we construct equilibrium configurations of hybrid stars composed of nuclear matter at low and ccs quark matter at high densities phase equilibrium between these phases is possible only for rather stiff equations of state of nuclear matter and large couplings in the effective nambujonalasinio lagrangian describing the ccs state we identify a new branch of stable ccs hybrid stars within a broad range of central densities which depending on the details of the equations of state either bifurcate from the nuclear sequence of stars when the central density exceeds that of the deconfinement phase transition or form a new family of configurations separated from the purely nuclear sequence by an instability region the maximum masses of our nonrotating hybrid configurations are consistent with the presently available astronomical bounds the sequences of hybrid configurations that rotate near the massshedding limit are found to be more compact and thus support substantially larger spins than their same mass nuclear counterparts | [['the', 'threeflavor', 'crystalline', 'colorsuperconducting', 'ccs', 'phase', 'of', 'quantum', 'chromodynamics', 'qcd', 'is', 'a', 'candidate', 'phase', 'for', 'the', 'ground', 'state', 'of', 'cold', 'matter', 'at', 'moderate', 'densities', 'above', 'the', 'density', 'of', 'the', 'deconfinement', 'phase', 'transition', 'apart', 'from', 'being', 'a', 'superfluid', 'the', 'ccs', 'phase', 'has', 'properties', 'of', 'a', 'solid', 'such', 'as', 'a', 'lattice', 'structure', 'and', 'a', 'shear', 'modulus', 'and', 'hence', 'the', 'ability', 'to', 'sustain', 'multipolar', 'deformations', 'in', 'gravitational', 'equilibrium', 'we', 'construct', 'equilibrium', 'configurations', 'of', 'hybrid', 'stars', 'composed', 'of', 'nuclear', 'matter', 'at', 'low', 'and', 'ccs', 'quark', 'matter', 'at', 'high', 'densities', 'phase', 'equilibrium', 'between', 'these', 'phases', 'is', 'possible', 'only', 'for', 'rather', 'stiff', 'equations', 'of', 'state', 'of', 'nuclear', 'matter', 'and', 'large', 'couplings', 'in', 'the', 'effective', 'nambujonalasinio', 'lagrangian', 'describing', 'the', 'ccs', 'state', 'we', 'identify', 'a', 'new', 'branch', 'of', 'stable', 'ccs', 'hybrid', 'stars', 'within', 'a', 'broad', 'range', 'of', 'central', 'densities', 'which', 'depending', 'on', 'the', 'details', 'of', 'the', 'equations', 'of', 'state', 'either', 'bifurcate', 'from', 'the', 'nuclear', 'sequence', 'of', 'stars', 'when', 'the', 'central', 'density', 'exceeds', 'that', 'of', 'the', 'deconfinement', 'phase', 'transition', 'or', 'form', 'a', 'new', 'family', 'of', 'configurations', 'separated', 'from', 'the', 'purely', 'nuclear', 'sequence', 'by', 'an', 'instability', 'region', 'the', 'maximum', 'masses', 'of', 'our', 'nonrotating', 'hybrid', 'configurations', 'are', 'consistent', 'with', 'the', 'presently', 'available', 'astronomical', 'bounds', 'the', 'sequences', 'of', 'hybrid', 'configurations', 'that', 'rotate', 'near', 'the', 'massshedding', 'limit', 'are', 'found', 'to', 'be', 'more', 'compact', 'and', 'thus', 'support', 'substantially', 'larger', 'spins', 'than', 'their', 'same', 'mass', 'nuclear', 'counterparts']] | [-0.12639318566154772, 0.24279603380810832, -0.11446207760505982, 0.05288432198650044, -0.03005408204626292, -0.06501487489692187, 0.07514021370291442, 0.3165041909276231, -0.20460643386127436, -0.29184852840865516, 0.07694389560859785, -0.2572134587901166, -0.01344732370391186, 0.11097196677829735, 0.044683683435888834, 0.02049049978492664, 0.009236784749937051, 0.05183620864382802, -0.14718801099078116, -0.15092543084572935, 0.3389289892206639, 0.00010473755013138928, 0.24514821967579895, 0.0035749865750371065, 0.05015008749129871, -0.08142685612269283, 0.07048289812152139, 0.0007573377282299974, -0.12336517939678873, 0.04929293077942487, 0.23829571923072165, 0.05142255710345601, 0.1620405480896987, -0.4142426046131699, -0.21936292107623942, 0.11263680756868173, 0.11852282930327042, 0.13692169399199974, -0.06093404903937905, -0.28692220772935395, 0.08672819608929441, -0.20725684390856405, -0.17033334449353116, -0.08539612492680684, 0.024545732103204272, 0.04536917756678196, -0.2362718052843791, 0.11601220575873929, 0.028873638248884934, 0.011930743626451018, -0.07961418033736917, -0.17377682325539287, -0.07542132305690331, 0.07205020219388078, -0.005144356204582764, 0.060461751202138155, 0.17117403048879323, -0.20902907189720119, -0.044435685766894405, 0.4104804627747833, -0.05775229146774609, -0.09857467081825677, 0.21425459179020412, -0.16862071353449487, -0.14130107269555264, 0.19277972871278254, 0.14243127789709145, 0.1613424154048836, -0.1378194200193435, 0.03549331673491759, 0.009928663279064134, 0.19645239221433447, 0.06458666341417041, 0.06310717045405023, 0.33747633627976653, 0.18285831053707716, 0.05382777503817468, 0.12504142895891532, -0.09805296851124883, -0.18327684895694465, -0.30374206615892985, -0.10340711252705136, -0.16761995397868926, 0.016330856263799057, -0.10880630439941022, -0.1790767774394365, 0.3566782869144787, 0.08149678296743061, 0.16709497874248186, -0.0034603118819922945, 0.26850163236445, 0.07489043290843256, 0.05992102702221674, 0.08891306466974637, 0.30837549512098367, 0.20765155950993266, 0.08129537743012849, -0.24967910018791487, 0.007264720523511773, 0.03912516648520355] |
710.3875 | Dielectric loss of 2D metal-insulator composite near the percolation
threshold | The frequency dependence of the dielectric loss angle for a metal-insulator
composite was shown previously to be an efficient method to experimentally
determine the percolation threshold. The statistical properties of this angle
are found here to be similar to those of the critical links (supporting the
total current) near the percolation threshold close to dc and for very high
frequencies. A further discussion is provided about the way to connect this
angle to the critical links. The second aim of these studies is to connect the
frequency dependence of this angle to the proportion of the conductor or
dielectric phase in this composite.
| cond-mat.mtrl-sci | the frequency dependence of the dielectric loss angle for a metalinsulator composite was shown previously to be an efficient method to experimentally determine the percolation threshold the statistical properties of this angle are found here to be similar to those of the critical links supporting the total current near the percolation threshold close to dc and for very high frequencies a further discussion is provided about the way to connect this angle to the critical links the second aim of these studies is to connect the frequency dependence of this angle to the proportion of the conductor or dielectric phase in this composite | [['the', 'frequency', 'dependence', 'of', 'the', 'dielectric', 'loss', 'angle', 'for', 'a', 'metalinsulator', 'composite', 'was', 'shown', 'previously', 'to', 'be', 'an', 'efficient', 'method', 'to', 'experimentally', 'determine', 'the', 'percolation', 'threshold', 'the', 'statistical', 'properties', 'of', 'this', 'angle', 'are', 'found', 'here', 'to', 'be', 'similar', 'to', 'those', 'of', 'the', 'critical', 'links', 'supporting', 'the', 'total', 'current', 'near', 'the', 'percolation', 'threshold', 'close', 'to', 'dc', 'and', 'for', 'very', 'high', 'frequencies', 'a', 'further', 'discussion', 'is', 'provided', 'about', 'the', 'way', 'to', 'connect', 'this', 'angle', 'to', 'the', 'critical', 'links', 'the', 'second', 'aim', 'of', 'these', 'studies', 'is', 'to', 'connect', 'the', 'frequency', 'dependence', 'of', 'this', 'angle', 'to', 'the', 'proportion', 'of', 'the', 'conductor', 'or', 'dielectric', 'phase', 'in', 'this', 'composite']] | [-0.14369154157166739, 0.13273635799942868, -0.06869098142657465, 0.03846251597239193, -0.09173331735203567, -0.10516064631463327, 0.11975453266855872, 0.40153694253197864, -0.2675579814602015, -0.31307893797972247, 0.07394381641812658, -0.27131409212512875, -0.15359537968258327, 0.1951876109606107, -0.027040780327526978, 0.07419447354900027, -0.056908367337315406, 0.0538473684991737, -0.06560897455523604, -0.1937359200917112, 0.3106864118966663, 0.1064740511932347, 0.2983999461595656, 0.11898852825544558, 0.00442227748792293, -0.02726981651887876, 0.03822761844590451, 0.030267675972353775, -0.15910242496112598, 0.08975249516226134, 0.2420020844262925, -0.0017594047731638533, 0.22582288382990848, -0.3529085901032374, -0.1885398010117481, 0.08009445351702206, 0.09608810853430079, 0.09924546362226377, -0.00025835617454451264, -0.22267846343586745, 0.10134439790639484, -0.1223914421805479, -0.19890673121084793, -0.014921988120971664, 0.010306078916329673, 0.029555510607484764, -0.26245400621510534, 0.04632433528279506, 0.02170422508661608, 0.04516827869816747, -0.023815737340997144, -0.09561408716660824, 0.0058895367450867465, 0.14027400616131433, 0.06466848171288961, 0.05320557385447969, 0.12769466804937252, -0.15075876775143432, -0.07716041616643372, 0.3339159041281464, 0.004255392606758956, -0.16145726119719664, 0.19738248236097614, -0.2073282357938226, -0.0814258789743107, 0.16179713255554004, 0.16346732581269394, 0.0833003579467101, -0.1679528006668953, -0.02830405986824896, -0.022405287097162992, 0.19460395879103143, 0.06823712403352544, 0.005679770309514213, 0.22701947085414698, 0.16143727045759415, 0.06457119949559853, 0.16882480844376085, -0.1066748000753736, -0.061564492712755804, -0.26570037506448413, -0.1629948101359085, -0.19051510492538654, 0.038553206367617096, -0.0766245657260229, -0.18097355880506688, 0.4054953199223552, 0.18207523713195786, 0.23543069225021648, 0.048453649307049595, 0.2838463792306127, 0.14959943818055021, 0.07082994812104887, 0.02971517501480299, 0.3308579064182286, 0.15721883149241161, 0.11072545247242867, -0.23147549987256355, 0.08209981572208475, 0.009079807998558271] |
710.3876 | Acoustic Kappa-Density Fluctuation Waves in Suprathermal Kappa Function
Fluids | We describe a new wave mode similar to the acoustic wave in which both
density and velocity fluctuate. Unlike the acoustic wave in which the
underlying distribution is Maxwellian, this new wave mode occurs when the
underlying distribution is a suprathermal kappa function and involves
fluctuations in the power law index, kappa. This wave mode always propagates
faster than the acoustic wave with an equivalent effective temperature and
becomes the acoustic wave in the Maxwellian limit as kappa goes to infinity.
| astro-ph | we describe a new wave mode similar to the acoustic wave in which both density and velocity fluctuate unlike the acoustic wave in which the underlying distribution is maxwellian this new wave mode occurs when the underlying distribution is a suprathermal kappa function and involves fluctuations in the power law index kappa this wave mode always propagates faster than the acoustic wave with an equivalent effective temperature and becomes the acoustic wave in the maxwellian limit as kappa goes to infinity | [['we', 'describe', 'a', 'new', 'wave', 'mode', 'similar', 'to', 'the', 'acoustic', 'wave', 'in', 'which', 'both', 'density', 'and', 'velocity', 'fluctuate', 'unlike', 'the', 'acoustic', 'wave', 'in', 'which', 'the', 'underlying', 'distribution', 'is', 'maxwellian', 'this', 'new', 'wave', 'mode', 'occurs', 'when', 'the', 'underlying', 'distribution', 'is', 'a', 'suprathermal', 'kappa', 'function', 'and', 'involves', 'fluctuations', 'in', 'the', 'power', 'law', 'index', 'kappa', 'this', 'wave', 'mode', 'always', 'propagates', 'faster', 'than', 'the', 'acoustic', 'wave', 'with', 'an', 'equivalent', 'effective', 'temperature', 'and', 'becomes', 'the', 'acoustic', 'wave', 'in', 'the', 'maxwellian', 'limit', 'as', 'kappa', 'goes', 'to', 'infinity']] | [-0.15279917954754682, 0.24133770946965893, -0.09508257584623349, 0.09146227435795246, -0.11663391181831191, -0.08242626891781886, -0.014277624081314347, 0.3119393264023978, -0.26270205261657176, -0.18310988922660917, 0.04463449425788389, -0.3165958927553377, -0.1021807522593457, 0.17916539260818634, 0.06944799704339218, 0.07115699076611134, -0.031381954691936206, 0.1027975726792198, -0.015356716968659541, -0.06585813176898676, 0.32442500722813017, 0.1010182674077374, 0.38054866785827424, -0.02520073475431145, 0.08048671200931831, 0.03185677452495805, 0.029131440704481468, 0.018223260845529075, -0.1321697688581031, 0.029217835027080627, 0.19649124614618443, 0.08847682793153289, 0.26406440821858584, -0.40996299536875735, -0.3061813376498995, 0.051283287850243074, 0.19656390482904734, 0.15113570748966326, 0.024917955856689794, -0.2234598504908291, 0.007710779476680874, -0.15025230739725592, -0.2263925456798371, 0.015812713974787864, 0.06865059368220376, 0.051046588032701866, -0.277818055961419, 0.18215734035424877, 0.07047679010824656, -0.026952334495698227, -0.06931672052675743, -0.08511321252372897, -0.04670802875778374, 0.040241346250785466, 0.11280157203774577, 0.0817919256924479, 0.11995247608326652, -0.13178611422003603, 0.016609142798884414, 0.3851210886589539, -0.1462114882451715, -0.19378132851403437, 0.17829668420700379, -0.18569069850132053, -0.013379829648284264, 0.19515660752392847, 0.17305915801567429, 0.07364473670311804, -0.08449331785780004, 0.05382843839685881, 0.0041273966498808065, 0.19906524429672662, 0.14163938876137966, 0.041273712594476014, 0.19583596594999603, 0.14423457561578187, 0.09112013047446071, 0.1315604777155835, -0.12488024705951964, -0.02463878037545968, -0.2976427818361072, -0.15917601867544431, -0.20431195793387388, 0.048990380787326565, -0.08878399078093935, -0.21058604560424515, 0.4189372046586172, 0.142184485198447, 0.17821863727115186, 0.07805467144885089, 0.3125515100373714, 0.24981294224975792, 0.03235331796868532, 0.13729395012566706, 0.2768338232956551, 0.13225300248171903, 0.1495936928362942, -0.21677258876181082, 0.004119290746058579, -0.0004916226773028389] |
710.3877 | Quasirandom groups | Babai and S\'os have asked whether there exists a constant c>0 such that
every finite group G has a product-free subset of size at least c|G|: that is,
a subset X that does not contain three elements x, y and z with xy=z. In this
paper we show that the answer is no. Moreover, we give a simple sufficient
condition for a group not to have any large product-free subset.
| math.CO math.GR | babai and sos have asked whether there exists a constant c0 such that every finite group g has a productfree subset of size at least cg that is a subset x that does not contain three elements x y and z with xyz in this paper we show that the answer is no moreover we give a simple sufficient condition for a group not to have any large productfree subset | [['babai', 'and', 'sos', 'have', 'asked', 'whether', 'there', 'exists', 'a', 'constant', 'c0', 'such', 'that', 'every', 'finite', 'group', 'g', 'has', 'a', 'productfree', 'subset', 'of', 'size', 'at', 'least', 'cg', 'that', 'is', 'a', 'subset', 'x', 'that', 'does', 'not', 'contain', 'three', 'elements', 'x', 'y', 'and', 'z', 'with', 'xyz', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'answer', 'is', 'no', 'moreover', 'we', 'give', 'a', 'simple', 'sufficient', 'condition', 'for', 'a', 'group', 'not', 'to', 'have', 'any', 'large', 'productfree', 'subset']] | [-0.1847888221698148, 0.11104541538017136, -0.08976545784223293, 0.00021070447650605015, -0.09514095204483186, -0.20044837965896087, 0.08793933337853689, 0.4359067399320858, -0.23402206309671914, -0.2175022503361106, 0.11653353432692322, -0.2984117003423827, -0.11593342505927597, 0.14020827022780266, -0.09554380168473083, -0.06433889482702528, 0.07684363718809827, 0.12848902908819063, -0.045105715686388846, -0.3209111589406218, 0.3128962967844148, -0.11740897324801024, 0.14620165349915623, 0.08666693499045712, 0.16336309957218223, -0.03384890572966209, 0.05367028201996748, 0.10143540452367493, -0.1761465939314803, 0.006587603176012635, 0.28828494751692885, 0.20238755449120488, 0.32432464089776786, -0.3168758046459906, -0.16384980998534177, 0.2719362001733056, 0.11350840627481895, 0.0293808403957103, -0.1014229679480195, -0.1404747206617945, 0.23762918629550508, -0.12311105935701303, -0.10637064027999128, -0.05640975816308388, 0.15685830613864318, -0.041340515363429274, -0.2973804391188813, -0.020421736940209354, 0.11960236023047141, 0.07198542777581939, 0.04257800537826759, -0.1327196994264211, -0.03657227417986308, 0.11495501076403473, -0.04238039820204774, 0.1564538008001234, 0.020559635138904145, -0.041313164089141145, -0.10079736222646066, 0.38544681277126075, -0.07302025024380003, -0.2527569139376283, 0.19134940688631363, -0.2047670035955629, -0.22515051365563912, 0.1153041840464409, 0.08952598844521813, 0.11905095137709786, -0.09396424398333433, 0.21124839613580013, -0.22255990233804498, 0.23953884384993995, 0.0730741046768214, -0.0077853899532263834, 0.13069032542407513, 0.08967676695901901, 0.1461060727347753, 0.025723897655760605, 0.014939211920968124, 0.11900101796324764, -0.38227136587458, -0.15917355288485333, -0.20468347403220832, 0.14683377170378142, -0.0669259445804138, -0.20352471001180156, 0.3156281994123544, 0.10677233352658472, 0.21653354511197123, 0.048135420746569124, 0.1576648058552694, 0.0472032966117175, 0.06039597810844758, 0.18892493989052517, 0.09834631898307375, 0.08525993237271905, -0.043358569405972956, -0.14874509140583023, 0.0835978873539716, 0.10985397676205529] |
710.3878 | Fundamental Solutions for Wave Equation in de Sitter Model of Universe | In this article we construct the fundamental solutions for the wave equation
arising in the de Sitter model of the universe. We use the fundamental
solutions to represent solutions of the Cauchy problem and to prove the
$L^p-L^q$-decay estimates for the solutions of the equation with and without a
source term.
| math.AP math-ph math.MP | in this article we construct the fundamental solutions for the wave equation arising in the de sitter model of the universe we use the fundamental solutions to represent solutions of the cauchy problem and to prove the lplqdecay estimates for the solutions of the equation with and without a source term | [['in', 'this', 'article', 'we', 'construct', 'the', 'fundamental', 'solutions', 'for', 'the', 'wave', 'equation', 'arising', 'in', 'the', 'de', 'sitter', 'model', 'of', 'the', 'universe', 'we', 'use', 'the', 'fundamental', 'solutions', 'to', 'represent', 'solutions', 'of', 'the', 'cauchy', 'problem', 'and', 'to', 'prove', 'the', 'lplqdecay', 'estimates', 'for', 'the', 'solutions', 'of', 'the', 'equation', 'with', 'and', 'without', 'a', 'source', 'term']] | [-0.12840981205925345, -0.004565748013556003, -0.10215375533793121, 0.08523678480414673, -0.08545656327158213, -0.04985133587382734, -0.013181722983717918, 0.22627069361507893, -0.29473083801567557, -0.26060226883739235, 0.1634793608589098, -0.3181401100195944, -0.13684790585190057, 0.17734312202315777, -0.024602895695716144, 0.07685968454927206, 0.04290305873379111, 0.03542859945446253, -0.06609704850241542, -0.18795133155304938, 0.43164579970762135, -0.01560218932107091, 0.2428290811739862, 0.009985990412533284, 0.17682066021487117, -0.035064946347847584, -0.022212047576904297, -0.037449157442897556, -0.2269040550244972, 0.14251444769790397, 0.24111710965633393, 0.13847634335514158, 0.25259427047873034, -0.43925579994916913, -0.22297916123643519, 0.1530309971421957, 0.15683257021009922, 0.20243585934862496, -0.0655272181937471, -0.2911574430204928, 0.09474676148965955, -0.12861203998327256, -0.2307509572803974, -0.018302284721285103, -0.018105249144136904, 0.04809243955649436, -0.22989254964515568, 0.12027426866814495, 0.043808312267065046, -0.07634708408266305, -0.21937319716438652, -0.020355484969913958, 0.03907886542379856, 0.09403619336895645, 0.12344727862393484, 0.021203492833301425, -0.0527448333799839, -0.20455621726345272, -0.07916051641106606, 0.41061583638191224, -0.11729666329920292, -0.28566921822726726, 0.1406384128332138, -0.11763384439051151, -0.1123855161946267, 0.04901766410563141, 0.16289313312619924, 0.15728202912956477, -0.13053492905572056, 0.16357803357532247, -0.0033324351903866044, 0.15050912652164697, 0.09781174989417195, 0.007526370771229267, 0.16967766284942626, 0.11808171294629574, 0.0910379228182137, 0.13910759150981902, -0.021861137272790074, -0.11068848943337799, -0.35854373916983606, -0.20943117698654531, -0.121202433668077, 0.07330032537778607, -0.1197709512518486, -0.2478824780136347, 0.41240307005122306, 0.16175066700205207, 0.13278216622769834, 0.06978416968137026, 0.21122862100601197, 0.1857557856850326, -0.01956232788041234, 0.09020894583314658, 0.23817736504599452, 0.11999345491174608, 0.16779062852263452, -0.22070889443159103, -0.012755261091515422, 0.13773654747754335] |
710.3879 | On Penrose's `before the big bang' ideas | We point out that algebraically special Einstein fields with twisting rays
exhibit the basic properties of conformal Universes considered recently by
Roger Penrose.
| gr-qc math.DG | we point out that algebraically special einstein fields with twisting rays exhibit the basic properties of conformal universes considered recently by roger penrose | [['we', 'point', 'out', 'that', 'algebraically', 'special', 'einstein', 'fields', 'with', 'twisting', 'rays', 'exhibit', 'the', 'basic', 'properties', 'of', 'conformal', 'universes', 'considered', 'recently', 'by', 'roger', 'penrose']] | [-0.18311278214273247, 0.1620495765996368, -0.10043601238209268, 0.13487741986856513, -0.1550206143570983, -0.17823999520877135, -0.07791676842000174, 0.3516744383327339, -0.20850235758268315, -0.17593526548665503, 0.03132834731925117, -0.2217144744531454, -0.17864978621187416, 0.20434851620508276, -0.004837268072625865, -0.011063221599096838, -0.019365124728368675, 0.0538739149823137, -0.08150296657265205, -0.3780364935164866, 0.3983062354280897, 0.1657499996945262, 0.24679656755989013, -0.06220588262152413, 0.13700804794612137, 0.017086174318809873, -0.020060091178216364, 0.10520228984988415, -0.23553673227718758, 0.00441911527077141, 0.2123001583892366, 0.10112710942959656, 0.1393449350219706, -0.3837062369870103, -0.2468677860401247, 0.10153351756541626, 0.14195996036996011, 0.05387425969693931, -0.06029660541199795, -0.36706905139853124, 0.07496540260541698, -0.07780964154264201, -0.2538229826959255, -0.08365837644542688, 0.039701959705385176, 0.031192904014302338, -0.07330139078523802, 0.05262124020120372, 0.14906536741688362, 0.12031569854234872, -0.04367287343610888, -0.07246919028946887, 0.009314476390895636, -0.013240271531369375, 0.15369065229416543, 0.0002466032645948555, 0.15147809050572308, -0.05979139503577481, -0.16702606375126736, 0.34716528265372565, -0.04948446632403394, -0.19360302927215461, 0.10911715205799302, -0.1630625183005696, -0.17622831662225982, 0.1555825174715289, -0.008375247110329245, 0.09504191638172968, -0.1723772382930569, 0.23452291832022046, -0.07930076498862194, -0.024700029868298494, 0.22963440851510866, -0.0036418329235976157, 0.2994706264656523, -0.03330974329424941, -0.012722854583483675, 0.18205204247699483, 0.021489697549006214, -0.1383602037701918, -0.38713514124569687, -0.19218874086990304, -0.10555674913136856, 0.2559456113806885, -0.13355143835930072, -0.1866364239350609, 0.33689656335374585, 0.07004442088920927, 0.12716659403446576, -0.037378503698045795, 0.10439746899773246, 0.03234189562499523, 0.10322893257050411, 0.12442361887382425, 0.31323387068898784, 0.2572013288837574, 0.09530855730965572, -0.12508102299129267, -0.13718367139201448, 0.17535718615450288] |
710.388 | Galileo satellite constellation and extensions to General Relativity | We consider the impact of some known extensions of General Relativity in
observables that will be available with the Galileo positioning systems, and
draw conclusions as to the possibility of measuring them. We specifically
address the effects of the presence of a cosmological constant, a Yukawa-like
addition to the Newtonian potential, and the existence of an extra, constant
acceleration. We also consider the phenomenological impact of a broad class of
metric theories, which can be classified through the parameterized
Post-Newtonian formalism.
| gr-qc | we consider the impact of some known extensions of general relativity in observables that will be available with the galileo positioning systems and draw conclusions as to the possibility of measuring them we specifically address the effects of the presence of a cosmological constant a yukawalike addition to the newtonian potential and the existence of an extra constant acceleration we also consider the phenomenological impact of a broad class of metric theories which can be classified through the parameterized postnewtonian formalism | [['we', 'consider', 'the', 'impact', 'of', 'some', 'known', 'extensions', 'of', 'general', 'relativity', 'in', 'observables', 'that', 'will', 'be', 'available', 'with', 'the', 'galileo', 'positioning', 'systems', 'and', 'draw', 'conclusions', 'as', 'to', 'the', 'possibility', 'of', 'measuring', 'them', 'we', 'specifically', 'address', 'the', 'effects', 'of', 'the', 'presence', 'of', 'a', 'cosmological', 'constant', 'a', 'yukawalike', 'addition', 'to', 'the', 'newtonian', 'potential', 'and', 'the', 'existence', 'of', 'an', 'extra', 'constant', 'acceleration', 'we', 'also', 'consider', 'the', 'phenomenological', 'impact', 'of', 'a', 'broad', 'class', 'of', 'metric', 'theories', 'which', 'can', 'be', 'classified', 'through', 'the', 'parameterized', 'postnewtonian', 'formalism']] | [-0.15169574177743475, 0.10072157689370934, -0.07818417894987413, 0.08013088068706387, -0.11399685791521161, -0.1423549056340607, 0.015325780383046762, 0.30774612238998583, -0.25518942402422795, -0.3105172504107525, 0.07434699548851055, -0.24414048256513513, -0.13538091582602557, 0.16538773585731784, -0.03884169892235487, 0.02707048583586045, 0.01006306748388818, 0.024645678855674227, -0.10879936699042625, -0.24719782016688474, 0.3613453704955769, 0.09932903947745576, 0.15842488264940954, 0.0708150467691644, 0.07767482085532888, -0.02781539869690199, -0.03347812794194913, 0.0966778108217742, -0.1649979341658943, 0.10353780515422975, 0.1869387584106054, 0.13740967743006754, 0.25863094805498366, -0.3961045829418265, -0.2637387674163889, 0.1296693233350568, 0.10018258045117061, 0.16028804518713582, -0.058443764972006096, -0.2992971281026616, 0.04635816018016618, -0.22523024007907988, -0.19224474942426623, -0.06596738200082823, 0.018638904630436482, 0.025213391820463227, -0.23076022186397036, 0.0383998606419392, 0.0392986539647811, 0.0035131628291658413, -0.08123013370434673, -0.06999220991978583, 0.04237925186523317, 0.13095813680348206, 0.10777007439748648, -0.006820916525881599, 0.1189707517163989, -0.1332023567462593, -0.11572255052332939, 0.45838340197080446, -0.09967595615631177, -0.233162244465662, 0.1603217820326487, -0.15492639721106785, -0.16248289284146863, 0.025865254728238522, 0.20143563959195657, 0.1384861346587171, -0.155106249432091, 0.12659733788323024, 0.005078103335827221, 0.13412854417204212, 0.061756821970144905, 0.04962243349938136, 0.24268666264474575, 0.10960686874265473, 0.01472233054170638, 0.11329634592546449, -0.08216266445334093, -0.08976099193441095, -0.36458689668848193, -0.13348576307472274, -0.09158248250821123, 0.06912093896441805, -0.1187985386396902, -0.1582959467533654, 0.3844662399525628, 0.18530243341408578, 0.17070963963820243, 0.05306495341075653, 0.2791388718020401, 0.09228503807407608, 0.03612939243630311, 0.0261288673421483, 0.32718690270507694, 0.10798580847956517, 0.05040632230287165, -0.20422356590674615, 0.02648776387910784, 0.026057603084884674] |
710.3881 | The relation between the quantum games, communication complexity
problems and Bell inequalities | We study the relation between the quantum games, communication complexity
problems and Bell inequalities. In particular we are interested in answering
the question whether for every element of one of these groups there is a
corresponding element in the other two. We show that there are cases where
there is no such relation. Moreover, in the communication complexity problems
for which there is no Bell inequality the advantage of the quantum strategies
over the classical ones is much higher.
| quant-ph | we study the relation between the quantum games communication complexity problems and bell inequalities in particular we are interested in answering the question whether for every element of one of these groups there is a corresponding element in the other two we show that there are cases where there is no such relation moreover in the communication complexity problems for which there is no bell inequality the advantage of the quantum strategies over the classical ones is much higher | [['we', 'study', 'the', 'relation', 'between', 'the', 'quantum', 'games', 'communication', 'complexity', 'problems', 'and', 'bell', 'inequalities', 'in', 'particular', 'we', 'are', 'interested', 'in', 'answering', 'the', 'question', 'whether', 'for', 'every', 'element', 'of', 'one', 'of', 'these', 'groups', 'there', 'is', 'a', 'corresponding', 'element', 'in', 'the', 'other', 'two', 'we', 'show', 'that', 'there', 'are', 'cases', 'where', 'there', 'is', 'no', 'such', 'relation', 'moreover', 'in', 'the', 'communication', 'complexity', 'problems', 'for', 'which', 'there', 'is', 'no', 'bell', 'inequality', 'the', 'advantage', 'of', 'the', 'quantum', 'strategies', 'over', 'the', 'classical', 'ones', 'is', 'much', 'higher']] | [-0.146140161724879, 0.10695371197837204, -0.04691962136215047, 0.11435329924113577, -0.002546824833165996, -0.18772692381274664, 0.04559159811138164, 0.38779591448322126, -0.2823364504167583, -0.26409358342614353, 0.10912254638527814, -0.3097929378995035, -0.176287664486614, 0.26911744442355784, -0.08731531180276335, 0.03496097655424589, 0.054602422804536324, 0.07455900191223319, -0.05168532146305978, -0.2935701672199972, 0.3549424287615509, -0.07907011435673678, 0.22799572055640666, 0.059200478293284585, 0.06727505343247063, -0.0293507576047714, -8.993845173641096e-05, 0.05155119061032277, -0.14038753067778756, 0.12034722837277606, 0.32902738182581487, 0.20285043642632192, 0.33911011606171915, -0.3862294488261554, -0.17396547123966621, 0.21704358118438882, 0.08899631920636078, 0.10763595911491473, -0.07972668093640971, -0.2150979830258632, 0.0847705895246207, -0.11508044188464933, -0.0478776867466071, 0.0037415195728027367, 0.049668311554042596, -0.03931506322637861, -0.23686030629692198, 0.06258933348699083, 0.08891659397396105, 0.08220562159785223, 0.012346656963559268, -0.06152141175551128, 0.06741115179125078, 0.15199402133238654, 0.016368170198100277, -0.015159156129259286, 0.008760970149961406, -0.15386112449289877, -0.19633137895666722, 0.41619528575411324, 0.02930914584688748, -0.25162142112002345, 0.20858878901086841, -0.15337525092395424, -0.17853509077118546, 0.02841467527036048, 0.08688961139208154, 0.07886123223395287, -0.07026325383141072, 0.12552031836858538, -0.1102559962958286, 0.18320269070424233, 0.08695030409276863, 0.08624334257579397, 0.10547453450934985, 0.10510906283272124, 0.14851525432542204, 0.12858123569292476, 0.012181851824250403, -0.14700118000206502, -0.307382242612635, -0.22907948279399662, -0.1749098408566434, 0.022035711754372793, -0.10319316905279956, -0.12854002140421136, 0.3377304813246938, 0.1272319470542554, 0.1126080057289027, 0.049299166692550515, 0.25394404611161236, 0.13023710665823537, 0.05276327464682392, 0.12634500105499843, 0.25072540319229986, 0.1285129249614628, 0.07034001347779803, -0.1864536047170434, 0.0900141072777819, 0.058883535746437836] |
710.3882 | Special types of intuitionistic fuzzy left h-ideals of hemirings | Characteristic, normal and completely normal intuitionistic fuzzy left
$h$-ideals of hemirings are described.
| math.RA | characteristic normal and completely normal intuitionistic fuzzy left hideals of hemirings are described | [['characteristic', 'normal', 'and', 'completely', 'normal', 'intuitionistic', 'fuzzy', 'left', 'hideals', 'of', 'hemirings', 'are', 'described']] | [-0.09135754549732575, 0.1716667044048126, -0.020737901473274596, 0.16781873542528886, -0.11736658559395717, -0.26510257388536745, -0.04972008271859242, 0.35386870686824506, -0.4405876942552053, -0.03410921303125528, 0.1103292187774339, -0.33229319693950504, -0.05998116932236231, 0.0866408055791488, -0.20011220027047855, -0.04350063233421399, -0.26017870675199306, 0.16045516256529552, -0.09825543432424848, -0.2664117452043753, 0.33524392258662444, -0.18077149156194466, 0.2213503668944423, -0.12102370823805149, 0.13812448288528964, -0.009395355287079628, -0.09936220857959527, 0.12123417453123973, -0.14528576542551702, 0.04465965812022869, 0.356976219954399, 0.20103535829828337, 0.17873199169452375, -0.4236517766347298, 0.07080246773190223, 0.13809572332180464, 0.11184993454326804, -0.24714584376376408, 0.03298839690307012, -0.38260147677591216, 0.1283439897860472, -0.21603528410196304, -0.17930123052344873, -0.1297459347316852, 0.08265642563884075, 0.05166587778008901, -0.18868146557360888, 0.11882212321059062, 0.3389729754282878, 0.22379769914998457, -0.07030153973028064, -0.16167942097840401, -0.06674044178082393, -0.03220963220183666, -0.12037158212982692, -0.08634233188170654, 0.07940159545978531, -0.06357291885293447, -0.13797566609886977, 0.2073169364952124, 0.04781839487930903, -0.2262441237958578, 0.1387553457170725, -0.1365304696552742, 0.040830151142122656, 0.06383082027045581, -0.09969842656014058, 0.108658038939421, -0.12747356446030048, 0.22459053283595354, -0.16372425854206085, 0.09633596155505914, 0.24384061952766317, 0.0022324630274222447, 0.2130976257702479, 0.15722086696097484, -0.06519972962828782, 0.07256341439027053, 0.07830198768239754, -0.08825369050296453, -0.3477327524182888, -0.14665971524440324, 0.0030155015679506156, 0.05355462374595495, -0.014666408120179907, -0.32557040682205785, 0.3820124314381526, -0.04022677543644722, 0.09972565185923415, 0.14133059204770967, 0.2560047037326373, 0.12475547681634243, -0.01865911641373084, -0.01484345866797062, 0.10052592536577812, 0.3003431290674668, -0.05654491022085914, -0.08862438803323759, 0.05186565166625839, 0.18414681358262897] |
710.3883 | Axion Inflation in Type II String Theory | Inflationary models driven by a large number of axion fields are discussed in
the context of type IIB compactifications with N=1 supersymmetry. The inflatons
arise as the scalar modes of the R-R two-forms evaluated on vanishing
two-cycles in the compact geometry. The vanishing cycles are resolved by small
two-volumes or NS-NS B-fields which sit together with the inflatons in the same
supermultiplets. String world-sheets wrapping the vanishing cycles correct the
metric of the R-R inflatons. They can help to generate kinetic terms close to
the Planck scale and a mass hierarchy between the axions and their non-axionic
partners during inflation. At small string coupling, D-brane corrections are
subleading in the metric of the R-R inflatons. However, an axion potential can
be generated by D1 instantons or gaugino condensates on D5 branes. Models with
sufficiently large number of axions admit regions of chaotic inflation which
can stretch over the whole axion field range for potentials from gaugino
condensates. These models could allow for a possibly detectable amount of
gravitational waves with tensor to scalar ratio as high as r<0.14.
| hep-th astro-ph hep-ph | inflationary models driven by a large number of axion fields are discussed in the context of type iib compactifications with n1 supersymmetry the inflatons arise as the scalar modes of the rr twoforms evaluated on vanishing twocycles in the compact geometry the vanishing cycles are resolved by small twovolumes or nsns bfields which sit together with the inflatons in the same supermultiplets string worldsheets wrapping the vanishing cycles correct the metric of the rr inflatons they can help to generate kinetic terms close to the planck scale and a mass hierarchy between the axions and their nonaxionic partners during inflation at small string coupling dbrane corrections are subleading in the metric of the rr inflatons however an axion potential can be generated by d1 instantons or gaugino condensates on d5 branes models with sufficiently large number of axions admit regions of chaotic inflation which can stretch over the whole axion field range for potentials from gaugino condensates these models could allow for a possibly detectable amount of gravitational waves with tensor to scalar ratio as high as r014 | [['inflationary', 'models', 'driven', 'by', 'a', 'large', 'number', 'of', 'axion', 'fields', 'are', 'discussed', 'in', 'the', 'context', 'of', 'type', 'iib', 'compactifications', 'with', 'n1', 'supersymmetry', 'the', 'inflatons', 'arise', 'as', 'the', 'scalar', 'modes', 'of', 'the', 'rr', 'twoforms', 'evaluated', 'on', 'vanishing', 'twocycles', 'in', 'the', 'compact', 'geometry', 'the', 'vanishing', 'cycles', 'are', 'resolved', 'by', 'small', 'twovolumes', 'or', 'nsns', 'bfields', 'which', 'sit', 'together', 'with', 'the', 'inflatons', 'in', 'the', 'same', 'supermultiplets', 'string', 'worldsheets', 'wrapping', 'the', 'vanishing', 'cycles', 'correct', 'the', 'metric', 'of', 'the', 'rr', 'inflatons', 'they', 'can', 'help', 'to', 'generate', 'kinetic', 'terms', 'close', 'to', 'the', 'planck', 'scale', 'and', 'a', 'mass', 'hierarchy', 'between', 'the', 'axions', 'and', 'their', 'nonaxionic', 'partners', 'during', 'inflation', 'at', 'small', 'string', 'coupling', 'dbrane', 'corrections', 'are', 'subleading', 'in', 'the', 'metric', 'of', 'the', 'rr', 'inflatons', 'however', 'an', 'axion', 'potential', 'can', 'be', 'generated', 'by', 'd1', 'instantons', 'or', 'gaugino', 'condensates', 'on', 'd5', 'branes', 'models', 'with', 'sufficiently', 'large', 'number', 'of', 'axions', 'admit', 'regions', 'of', 'chaotic', 'inflation', 'which', 'can', 'stretch', 'over', 'the', 'whole', 'axion', 'field', 'range', 'for', 'potentials', 'from', 'gaugino', 'condensates', 'these', 'models', 'could', 'allow', 'for', 'a', 'possibly', 'detectable', 'amount', 'of', 'gravitational', 'waves', 'with', 'tensor', 'to', 'scalar', 'ratio', 'as', 'high', 'as', 'r014']] | [-0.20343453627058558, 0.27771876460883504, -0.0196453856597972, 0.1530768235785548, -0.08577961778395217, -0.15537420433908913, -0.014326984890927137, 0.2802490424417721, -0.17872394988609647, -0.3088376823976763, 0.09915579136445145, -0.24590114399854263, -0.087570354686415, 0.1462016951465392, -0.05496852012054825, -0.001377751172350889, 0.01813082485552348, 0.041538975877549754, -0.024314492124011104, -0.2927415572736539, 0.3545190628871999, 0.02862085034642157, 0.19443007313053717, 0.007836311505260792, 0.06908925916650333, -0.10364928859846921, -0.00034363135273451917, -0.020563975421034476, -0.08194876164283084, 0.08484732506357515, 0.2078970020707154, 0.06677715524777093, 0.10598358101560734, -0.4515975025887284, -0.22711893560005014, 0.19185767791614952, 0.19231004067379134, 0.15773645126583605, 0.004638290927025743, -0.29242112796584313, 0.07136312219187278, -0.1529320004751753, -0.1297314498409502, -0.0883873360375715, 0.01959730643019694, -0.021691833872451258, -0.2627047440566292, 0.06518822322091596, -0.04464457796778085, -0.007719308778177947, -0.054724824069787494, -0.09119639927269997, -0.09544329759625146, 0.044716615168991586, 0.18076467013981362, 0.05743386438486844, 0.15244854970528235, -0.2208031646610338, -0.10571284291456157, 0.3751050425079567, -0.1659362824615197, -0.19434547153915363, 0.1362183324103667, -0.11569721466036174, -0.11794832414042586, 0.12936046030451756, 0.13063426021042027, 0.1441850270004414, -0.08764680337547114, 0.1920191009247157, 0.05500460576149635, 0.1483398416127205, 0.15922667172113011, 0.07374409210751764, 0.3861234383075498, 0.08751352921932597, 0.02512102736297741, 0.0864973586470693, -0.04182717246162197, -0.10278921015345656, -0.42041419428476895, -0.04284497135879726, -0.10148352950173747, 0.1087707061405209, -0.1940620659917675, -0.19210650072041477, 0.34226971764688974, 0.04473646066881801, 0.21687464620845276, 0.03267544523127568, 0.21438649252046493, 0.07430951970110816, 0.13734919695178344, 0.029549989553660536, 0.30708765319220466, 0.14537127561793153, 0.11827852840162284, -0.23346029852374076, -0.11300842992866157, 0.12466952203778253] |
710.3884 | Fuzzy n-ary groups as a generalization of Rosenfeld's fuzzy groups | The notion of an $n$-ary group is a natural generalization of the notion of a
group and has many applications in different branches. In this paper, the
notion of (normal) fuzzy $n$-ary subgroup of an $n$-ary group is introduced and
some related properties are investigated. Characterizations of fuzzy $n$-ary
subgroups are given.
| math.RA | the notion of an nary group is a natural generalization of the notion of a group and has many applications in different branches in this paper the notion of normal fuzzy nary subgroup of an nary group is introduced and some related properties are investigated characterizations of fuzzy nary subgroups are given | [['the', 'notion', 'of', 'an', 'nary', 'group', 'is', 'a', 'natural', 'generalization', 'of', 'the', 'notion', 'of', 'a', 'group', 'and', 'has', 'many', 'applications', 'in', 'different', 'branches', 'in', 'this', 'paper', 'the', 'notion', 'of', 'normal', 'fuzzy', 'nary', 'subgroup', 'of', 'an', 'nary', 'group', 'is', 'introduced', 'and', 'some', 'related', 'properties', 'are', 'investigated', 'characterizations', 'of', 'fuzzy', 'nary', 'subgroups', 'are', 'given']] | [-0.18381805902418608, 0.11733569047702566, -0.06978496393332115, 0.060731766058149964, -0.14885431821816242, -0.048740966514182776, 0.007721906288329942, 0.3814756621678288, -0.356064617060698, -0.22865065584818905, 0.10850325511105788, -0.2827340681822254, -0.19814014732121274, 0.20407470881652373, -0.24439820994694644, -0.023363736565583028, -0.04426481295377016, 0.1931416136929049, -0.11498573547802292, -0.24264314537867904, 0.40532008334636116, -0.007087710976170806, 0.2825959160959778, -0.028692813643899102, 0.1087986430636822, -0.018375469344811372, -0.08613090265470628, 0.03017798807615271, -0.1296003462675099, 0.14439237833273813, 0.2702302577762076, 0.1388792188014262, 0.28237236987871045, -0.3207249687984586, -0.13491663805997142, 0.1577565624163701, 0.0977118183643772, -0.022310659002799254, -0.07105129806754681, -0.27091352299500543, 0.14162014940610299, -0.22610772744967386, -0.0716114486925877, -0.0722720054193185, 0.09936581616504835, -0.015730875159183946, -0.20378452059454644, -0.029675873068089668, 0.17414769250899553, 0.18265511670576345, -0.07078980147623672, -0.0971662738861946, -0.015261173118443157, 0.04479490097862883, -0.02462404952921833, -0.01641057244537828, 0.08588777060895854, -0.08666867748028241, -0.206365204631136, 0.4079479770734906, 0.06586135254026605, -0.2362203042810926, 0.1520927021315751, -0.07796936650545551, -0.231173374528925, 0.017806057809278943, 0.121889045354552, 0.14186133908179516, -0.1509575781842264, 0.16504502634723814, -0.15278687600332957, 0.08013029725183375, 0.11748334577378745, 0.09339265450118826, 0.12363624859314698, 0.18442271194922236, 0.04349299469098556, 0.20205485876291418, 0.07439089587961252, -0.04602233642855516, -0.30680501264018506, -0.20372128144551355, -0.056130735526004664, -0.004401528925742381, -0.11738586474082414, -0.23314457564937094, 0.428033085539937, 0.0852903864489725, 0.11401439029186104, 0.07015826825339061, 0.1656393630009216, 0.10493784927977966, 0.06543241659752451, 0.03322115004993975, 0.07043974463606271, 0.3010945990681648, -0.08588854889743604, -0.11297928169593573, 0.014706436177500738, 0.1386788680862922] |
710.3885 | Differentiating dark energy and modified gravity with galaxy redshift
surveys | The observed cosmic acceleration today could be due to an unknown energy
component (dark energy), or a modification to general relativity (modified
gravity). If dark energy models and modified gravity models are required to
predict the same cosmic expansion history H(z), they will predict different
growth rate for cosmic large scale structure, f_g(z)=d\ln \delta/d\ln a
(\delta=(\rho_m-\bar{\rho_m})/\bar{\rho_m}), a is the cosmic scale factor). If
gravity is not modified, the measured H(z) leads to a unique prediction for
f_g(z), f_g^H(z). Comparing f_g^H(z) with the measured f_g(z) provides a
transparent and straightforward test of gravity. We show that a simple \chi^2
test provides a general figure-of-merit for our ability to distinguish between
dark energy and modified gravity given the measured H(z) and f_g(z). We study a
magnitude-limited NIR galaxy redshift survey covering >10,000 (deg)^2 and the
redshift range of 0.5<z<2. The resultant data can be divided into 7 redshift
bins, and yield the measurement of H(z) to the accuracy of 1-2% via baryon
acoustic oscillation measurements, and f_g(z) to the accuracy of a few percent
via the measurement of redshift space distortions and the bias factor which
describes how light traces mass. We find that if the H(z) data are fit by both
a DGP gravity model and an equivalent dark energy model that predict the same
expansion history, a survey area of 11,931 (deg)^2 is required to rule out the
DGP gravity model at the 99.99% confidence level. It is feasible for such a
galaxy redshift survey to be carried out by the next generation space missions
from NASA and ESA, and it will revolutionize our understanding of the universe
by differentiating between dark energy and modified gravity.
| astro-ph gr-qc hep-ph | the observed cosmic acceleration today could be due to an unknown energy component dark energy or a modification to general relativity modified gravity if dark energy models and modified gravity models are required to predict the same cosmic expansion history hz they will predict different growth rate for cosmic large scale structure f_gzdln deltadln a deltarho_mbarrho_mbarrho_m a is the cosmic scale factor if gravity is not modified the measured hz leads to a unique prediction for f_gz f_ghz comparing f_ghz with the measured f_gz provides a transparent and straightforward test of gravity we show that a simple chi2 test provides a general figureofmerit for our ability to distinguish between dark energy and modified gravity given the measured hz and f_gz we study a magnitudelimited nir galaxy redshift survey covering 10000 deg2 and the redshift range of 05z2 the resultant data can be divided into 7 redshift bins and yield the measurement of hz to the accuracy of 12 via baryon acoustic oscillation measurements and f_gz to the accuracy of a few percent via the measurement of redshift space distortions and the bias factor which describes how light traces mass we find that if the hz data are fit by both a dgp gravity model and an equivalent dark energy model that predict the same expansion history a survey area of 11931 deg2 is required to rule out the dgp gravity model at the 9999 confidence level it is feasible for such a galaxy redshift survey to be carried out by the next generation space missions from nasa and esa and it will revolutionize our understanding of the universe by differentiating between dark energy and modified gravity | [['the', 'observed', 'cosmic', 'acceleration', 'today', 'could', 'be', 'due', 'to', 'an', 'unknown', 'energy', 'component', 'dark', 'energy', 'or', 'a', 'modification', 'to', 'general', 'relativity', 'modified', 'gravity', 'if', 'dark', 'energy', 'models', 'and', 'modified', 'gravity', 'models', 'are', 'required', 'to', 'predict', 'the', 'same', 'cosmic', 'expansion', 'history', 'hz', 'they', 'will', 'predict', 'different', 'growth', 'rate', 'for', 'cosmic', 'large', 'scale', 'structure', 'f_gzdln', 'deltadln', 'a', 'deltarho_mbarrho_mbarrho_m', 'a', 'is', 'the', 'cosmic', 'scale', 'factor', 'if', 'gravity', 'is', 'not', 'modified', 'the', 'measured', 'hz', 'leads', 'to', 'a', 'unique', 'prediction', 'for', 'f_gz', 'f_ghz', 'comparing', 'f_ghz', 'with', 'the', 'measured', 'f_gz', 'provides', 'a', 'transparent', 'and', 'straightforward', 'test', 'of', 'gravity', 'we', 'show', 'that', 'a', 'simple', 'chi2', 'test', 'provides', 'a', 'general', 'figureofmerit', 'for', 'our', 'ability', 'to', 'distinguish', 'between', 'dark', 'energy', 'and', 'modified', 'gravity', 'given', 'the', 'measured', 'hz', 'and', 'f_gz', 'we', 'study', 'a', 'magnitudelimited', 'nir', 'galaxy', 'redshift', 'survey', 'covering', '10000', 'deg2', 'and', 'the', 'redshift', 'range', 'of', '05z2', 'the', 'resultant', 'data', 'can', 'be', 'divided', 'into', '7', 'redshift', 'bins', 'and', 'yield', 'the', 'measurement', 'of', 'hz', 'to', 'the', 'accuracy', 'of', '12', 'via', 'baryon', 'acoustic', 'oscillation', 'measurements', 'and', 'f_gz', 'to', 'the', 'accuracy', 'of', 'a', 'few', 'percent', 'via', 'the', 'measurement', 'of', 'redshift', 'space', 'distortions', 'and', 'the', 'bias', 'factor', 'which', 'describes', 'how', 'light', 'traces', 'mass', 'we', 'find', 'that', 'if', 'the', 'hz', 'data', 'are', 'fit', 'by', 'both', 'a', 'dgp', 'gravity', 'model', 'and', 'an', 'equivalent', 'dark', 'energy', 'model', 'that', 'predict', 'the', 'same', 'expansion', 'history', 'a', 'survey', 'area', 'of', '11931', 'deg2', 'is', 'required', 'to', 'rule', 'out', 'the', 'dgp', 'gravity', 'model', 'at', 'the', '9999', 'confidence', 'level', 'it', 'is', 'feasible', 'for', 'such', 'a', 'galaxy', 'redshift', 'survey', 'to', 'be', 'carried', 'out', 'by', 'the', 'next', 'generation', 'space', 'missions', 'from', 'nasa', 'and', 'esa', 'and', 'it', 'will', 'revolutionize', 'our', 'understanding', 'of', 'the', 'universe', 'by', 'differentiating', 'between', 'dark', 'energy', 'and', 'modified', 'gravity']] | [-0.07467324427085004, 0.10435872795449044, -0.10304700219883442, 0.12218598745130965, -0.12661776302478575, -0.09113904297509921, 0.02643824248562646, 0.33399050293930177, -0.2225404039860404, -0.38242428793272903, 0.04900755621110539, -0.27682960983468874, -0.015758757227756826, 0.21985809501892856, -0.00578449443291969, -0.007027846487836974, 0.04886114045013622, -0.011071452941415604, -0.02841067885028712, -0.28207832522521903, 0.26320900857221763, 0.1683665288000529, 0.2571312818518149, 0.0026528059910446737, 0.1299798142077312, -0.07221314040909614, -0.06813055454200044, 0.018506641501631258, -0.19616754341659945, 0.05580472022920462, 0.230173236480318, 0.15479676639214432, 0.22860100570502537, -0.34311741960623277, -0.2366077777892231, 0.12088073217361561, 0.1256767770557276, 0.09045070606392097, -0.046363859238082415, -0.2714864882327809, 0.05579040868369333, -0.19390506802016794, -0.11277465697556624, -0.03403946990147233, -0.016795356313756418, -0.02270386352721856, -0.24978169199269148, 0.1527559260263819, -0.04334206392857971, -0.013653952270966174, -0.09090272509716314, -0.061234157456848015, -0.035810565531281306, 0.07011623422415907, 0.024322363309565644, 0.0856497084522814, 0.14896193291365625, -0.13588882690897844, -0.035403463755806434, 0.42998214667436163, -0.13617396086103856, -0.10234036559872225, 0.14604012900791594, -0.1951422860546938, -0.11140653866814017, 0.08567592367225729, 0.1662622015919825, 0.06827492228661049, -0.17184711992246618, 0.06924754997708481, 0.05703648033369731, 0.235214639281531, 0.07666108589035174, 0.006740707454011291, 0.3242256752321861, 0.1589314351704597, 0.04274726241167181, 0.052310669164059895, -0.1584144827112473, -0.003119102948967271, -0.30784133964860844, -0.1319268921620429, -0.14388452039866595, 0.06756859026232612, -0.1322301463389381, -0.10383739606674926, 0.3936883681608412, 0.145993316006534, 0.1864170242071743, 0.08785830193578963, 0.29754158085370197, 0.08020284869905726, 0.09927226755273189, 0.036881738055387435, 0.3212008142235562, 0.09395353294345396, 0.060824279831481816, -0.20330111368738005, -0.005031077402585437, -0.013334771984246494] |
710.3886 | alpha'^2-corrections to extremal dyonic black holes in heterotic string
theory | We calculate alpha'^2-corrections to the entropy of the 5-dimensional
3-charge and the 4-dimensional 4-charge large extremal black holes using the
low energy effective action of the heterotic string theory. In the
4-dimensional case, our results are in agreement with the microscopic
statistical entropy both for the BPS and the non-BPS black holes. In the more
interesting 5-dimensional case, where the direct microscopic stringy
description is still unknown, our results for the BPS black holes are in
agreement with the results obtained from the action supplemented with
R^2-correction obtained by supersymmetric completion of the gravitational
Chern-Simons term. This agreement does not extend to the non-BPS black holes,
for which we propose a different expression for the entropy. We show that the
new expression is supported by certain alpha'^3-order calculations, and by the
arguments based on the AdS/CFT correspondence.
| hep-th | we calculate alpha2corrections to the entropy of the 5dimensional 3charge and the 4dimensional 4charge large extremal black holes using the low energy effective action of the heterotic string theory in the 4dimensional case our results are in agreement with the microscopic statistical entropy both for the bps and the nonbps black holes in the more interesting 5dimensional case where the direct microscopic stringy description is still unknown our results for the bps black holes are in agreement with the results obtained from the action supplemented with r2correction obtained by supersymmetric completion of the gravitational chernsimons term this agreement does not extend to the nonbps black holes for which we propose a different expression for the entropy we show that the new expression is supported by certain alpha3order calculations and by the arguments based on the adscft correspondence | [['we', 'calculate', 'alpha2corrections', 'to', 'the', 'entropy', 'of', 'the', '5dimensional', '3charge', 'and', 'the', '4dimensional', '4charge', 'large', 'extremal', 'black', 'holes', 'using', 'the', 'low', 'energy', 'effective', 'action', 'of', 'the', 'heterotic', 'string', 'theory', 'in', 'the', '4dimensional', 'case', 'our', 'results', 'are', 'in', 'agreement', 'with', 'the', 'microscopic', 'statistical', 'entropy', 'both', 'for', 'the', 'bps', 'and', 'the', 'nonbps', 'black', 'holes', 'in', 'the', 'more', 'interesting', '5dimensional', 'case', 'where', 'the', 'direct', 'microscopic', 'stringy', 'description', 'is', 'still', 'unknown', 'our', 'results', 'for', 'the', 'bps', 'black', 'holes', 'are', 'in', 'agreement', 'with', 'the', 'results', 'obtained', 'from', 'the', 'action', 'supplemented', 'with', 'r2correction', 'obtained', 'by', 'supersymmetric', 'completion', 'of', 'the', 'gravitational', 'chernsimons', 'term', 'this', 'agreement', 'does', 'not', 'extend', 'to', 'the', 'nonbps', 'black', 'holes', 'for', 'which', 'we', 'propose', 'a', 'different', 'expression', 'for', 'the', 'entropy', 'we', 'show', 'that', 'the', 'new', 'expression', 'is', 'supported', 'by', 'certain', 'alpha3order', 'calculations', 'and', 'by', 'the', 'arguments', 'based', 'on', 'the', 'adscft', 'correspondence']] | [-0.1119252590453942, 0.09439357649190007, -0.0494374965455521, 0.1487963829508603, -0.04606660224186877, -0.1227953189259602, 0.011894905073050823, 0.26355974701819596, -0.11191281962587878, -0.2862586494397234, 0.0806426717710026, -0.32380172074944885, -0.1640086938523584, 0.20787864818272214, -0.07994017130522817, 0.049898715448324325, 0.024325298235096313, 0.08481901013464839, -0.11224694345318885, -0.23061529168238243, 0.37543935871303635, 0.06342108646338737, 0.2573168290089126, 0.05953076276928186, 0.08718998452510547, 0.016603628716741998, -0.005067161553867023, 0.06512418995024981, -0.20324442299558237, 0.1774968480781859, 0.2388650316658809, 0.08262291212945624, 0.10812381256578697, -0.44149235520097946, -0.2284722181726937, 0.04428291368401713, 0.12702013044445604, 0.1980771459871903, -0.09530947196299504, -0.2688606494934195, 0.1037598379973874, -0.20497058213998873, -0.11556169075063533, -0.08690602868381474, 0.018228818081250344, -0.07311045329465911, -0.22887850368602408, 0.11800240476473442, 0.020658081538837265, -0.04953278622431551, -0.13945572596793582, -0.053983096407588436, -0.07054377608346167, 0.1063682870361609, 0.15140053811655552, 0.03874467724451312, 0.11500189461641841, -0.15088061344533882, -0.14314302666181766, 0.3428317191010272, -0.08061824829352122, -0.21201553749679417, 0.1601084667482172, -0.20193787298199756, -0.14288188762341936, 0.09093130081288378, 0.07093455335125327, 0.21191856574819043, -0.1227540517743263, 0.17376105317703655, -0.059424831662154586, 0.14222079363686066, 0.07830949313248749, 0.03582251854957711, 0.3192980085534078, 0.09579571208882111, -0.031214873541008544, 0.16151084742439842, -0.030809563613945136, -0.14471853287821568, -0.3805221324717557, -0.11397258834568438, -0.1714288903020874, 0.10969874438219618, -0.1724304549623479, -0.15869743366277328, 0.32957669439277165, 0.0988314302948614, 0.2050507449562213, 0.10125184409682536, 0.21179419340516217, 0.09432253668136481, 0.027818857802561037, 0.08463215643919453, 0.3081712597666343, 0.11100868371798209, 0.1018414336670604, -0.2637948469034638, -0.09364469370770234, 0.17348142506692696] |
710.3887 | Ultra LI-ideals in lattice implication algebras and MTL-algebras | A mistake concerning the ultra \textit{LI}-ideal of a lattice implication
algebra is pointed out, and some new sufficient and necessary conditions for an
\textit{LI}-ideal to be an ultra \textit{LI}-ideal are given. Moreover, the
notion of an \textit{LI}-ideal is extended to MTL-algebras, the notions of a
(prime, ultra, obstinate, Boolean) \textit{LI}-ideal and an \textit{ILI}-ideal
of an MTL-algebra are introduced, some important examples are given, and the
following notions are proved to be equivalent in MTL-algebra: (1) prime proper
\textit{LI}-ideal and Boolean \textit{LI}-ideal, (2) prime proper
\textit{LI}-ideal and \textit{ILI}-ideal, (3) proper obstinate
\textit{LI}-ideal, (4) ultra \textit{LI}-ideal.
| math.LO math.GM | a mistake concerning the ultra textitliideal of a lattice implication algebra is pointed out and some new sufficient and necessary conditions for an textitliideal to be an ultra textitliideal are given moreover the notion of an textitliideal is extended to mtlalgebras the notions of a prime ultra obstinate boolean textitliideal and an textitiliideal of an mtlalgebra are introduced some important examples are given and the following notions are proved to be equivalent in mtlalgebra 1 prime proper textitliideal and boolean textitliideal 2 prime proper textitliideal and textitiliideal 3 proper obstinate textitliideal 4 ultra textitliideal | [['a', 'mistake', 'concerning', 'the', 'ultra', 'textitliideal', 'of', 'a', 'lattice', 'implication', 'algebra', 'is', 'pointed', 'out', 'and', 'some', 'new', 'sufficient', 'and', 'necessary', 'conditions', 'for', 'an', 'textitliideal', 'to', 'be', 'an', 'ultra', 'textitliideal', 'are', 'given', 'moreover', 'the', 'notion', 'of', 'an', 'textitliideal', 'is', 'extended', 'to', 'mtlalgebras', 'the', 'notions', 'of', 'a', 'prime', 'ultra', 'obstinate', 'boolean', 'textitliideal', 'and', 'an', 'textitiliideal', 'of', 'an', 'mtlalgebra', 'are', 'introduced', 'some', 'important', 'examples', 'are', 'given', 'and', 'the', 'following', 'notions', 'are', 'proved', 'to', 'be', 'equivalent', 'in', 'mtlalgebra', '1', 'prime', 'proper', 'textitliideal', 'and', 'boolean', 'textitliideal', '2', 'prime', 'proper', 'textitliideal', 'and', 'textitiliideal', '3', 'proper', 'obstinate', 'textitliideal', '4', 'ultra', 'textitliideal']] | [-0.16154454622174735, 0.11828754073133535, -0.09630565252155066, 0.10856312215986216, -0.07359866895864758, -0.12693204923593643, 0.003682607574813554, 0.4081991870239701, -0.26066835272206884, -0.22799431834795067, 0.14094140732777305, -0.21086638914826122, -0.08418605006907297, 0.21003162003699286, -0.16043388282718218, 0.00899936690794952, 0.010574014492980812, 0.06265270678609934, -0.00504079348731624, -0.30792138940128294, 0.31573708190420724, 0.05498676507673024, 0.13314748806347462, 0.045132914229053196, 0.13593295630087834, -0.007582351180684307, -0.06077523472081141, 0.024777799864987963, -0.1558620702556294, 0.09065830063722703, 0.2546515495556852, 0.14098591187401957, 0.2982055468575867, -0.3600414207043207, -0.09171336004257445, 0.17122663657747858, 0.09354114983959691, -0.022283220187882365, -0.03012590738438556, -0.26267171807526407, 0.1913032173027244, -0.17942505726671737, -0.14057237692379757, -0.09630321310428173, 0.11181447727848655, 0.04851265830676193, -0.30759097393804596, -0.0568530176229694, 0.1292943039747036, 0.15347183524104563, -0.08327494579893739, -0.13857561022893566, 0.06229843802841218, 0.029473199908945546, -0.08772748458178957, 0.07425746068601376, 0.01975616296429349, -0.1261011177835905, -0.12432624906827898, 0.3750587086517202, 0.03695594015247796, -0.15969233026566065, 0.137344425475812, -0.06502947416763914, -0.18438784938062663, 0.11782123028989071, 0.024202970299444605, 0.09249840476347701, -0.14411373887939946, 0.1272299374851054, -0.07347705543203198, 0.10653192197661036, 0.124186084828461, 0.0737338115501663, 0.11853656935019662, 0.11323140350008465, 0.0691877746772345, 0.15188930023451458, -0.01497892393609104, 0.05450030166210364, -0.3747729037726379, -0.18200200964043767, -0.11493721849325558, 0.14344403209701262, -0.07485147323060791, -0.11766219203380625, 0.29294807413269, 0.04875885376848443, 0.13099248411700778, 0.06851120969361585, 0.20061969232451898, 0.09411011649432982, 0.04068991051905829, 0.07939384487943481, 0.14280632396706927, 0.23427799137552147, -0.053535449667833745, -0.06718621964809364, -0.03413595393826456, 0.08498977708792232] |
710.3888 | Cooperative Multi-Cell Networks: Impact of Limited-Capacity Backhaul and
Inter-Users Links | Cooperative technology is expected to have a great impact on the performance
of cellular or, more generally, infrastructure networks. Both multicell
processing (cooperation among base stations) and relaying (cooperation at the
user level) are currently being investigated. In this presentation, recent
results regarding the performance of multicell processing and user cooperation
under the assumption of limited-capacity interbase station and inter-user
links, respectively, are reviewed. The survey focuses on related results
derived for non-fading uplink and downlink channels of simple cellular system
models. The analytical treatment, facilitated by these simple setups, enhances
the insight into the limitations imposed by limited-capacity constraints on the
gains achievable by cooperative techniques.
| cs.IT math.IT | cooperative technology is expected to have a great impact on the performance of cellular or more generally infrastructure networks both multicell processing cooperation among base stations and relaying cooperation at the user level are currently being investigated in this presentation recent results regarding the performance of multicell processing and user cooperation under the assumption of limitedcapacity interbase station and interuser links respectively are reviewed the survey focuses on related results derived for nonfading uplink and downlink channels of simple cellular system models the analytical treatment facilitated by these simple setups enhances the insight into the limitations imposed by limitedcapacity constraints on the gains achievable by cooperative techniques | [['cooperative', 'technology', 'is', 'expected', 'to', 'have', 'a', 'great', 'impact', 'on', 'the', 'performance', 'of', 'cellular', 'or', 'more', 'generally', 'infrastructure', 'networks', 'both', 'multicell', 'processing', 'cooperation', 'among', 'base', 'stations', 'and', 'relaying', 'cooperation', 'at', 'the', 'user', 'level', 'are', 'currently', 'being', 'investigated', 'in', 'this', 'presentation', 'recent', 'results', 'regarding', 'the', 'performance', 'of', 'multicell', 'processing', 'and', 'user', 'cooperation', 'under', 'the', 'assumption', 'of', 'limitedcapacity', 'interbase', 'station', 'and', 'interuser', 'links', 'respectively', 'are', 'reviewed', 'the', 'survey', 'focuses', 'on', 'related', 'results', 'derived', 'for', 'nonfading', 'uplink', 'and', 'downlink', 'channels', 'of', 'simple', 'cellular', 'system', 'models', 'the', 'analytical', 'treatment', 'facilitated', 'by', 'these', 'simple', 'setups', 'enhances', 'the', 'insight', 'into', 'the', 'limitations', 'imposed', 'by', 'limitedcapacity', 'constraints', 'on', 'the', 'gains', 'achievable', 'by', 'cooperative', 'techniques']] | [-0.2749307295340157, 0.020347633483932814, 0.030224333086407908, 0.017688845893559613, -0.0669384508363241, -0.2351687382602037, 0.16251594876591988, 0.3908382920530912, -0.22053257010389712, -0.24699842099483324, 0.07694926269778929, -0.24326203511070424, -0.22554431168284161, 0.17674431644998073, -0.12277250878391004, 0.0005063508228163853, 0.1040751573338095, 0.03837459326164675, -0.0014464013522194924, -0.29570984799484507, 0.3074020262607417, 0.1742903066420423, 0.4331006486856631, 0.07018649522552406, 0.04306731994968848, -0.0019836554969617417, -0.08129538446131693, -0.04603454278712379, -0.12300286791069764, 0.11637889641711366, 0.32191189782516233, 0.21886467842263319, 0.27537194473198917, -0.48918110363742456, -0.29052749262017274, 0.04604872562879018, 0.16178194394282927, 0.019187560605285602, -0.04824885736596575, -0.3277588098649388, 0.12724740996469405, -0.25342052357671696, -0.0022041723610850693, 0.01230828806749223, -0.10932805699896868, 0.0799883436977376, -0.32115655811938726, -0.014725974101625452, 0.013198994561403153, 0.10997220280658558, -0.05747260899222064, -0.16501705777052372, 0.03559215344645292, 0.18381016429679067, 0.03202707928640194, -0.07714205530605923, 0.11859716333135545, -0.15076564429719524, -0.12144131152498945, 0.3915550945344094, 0.05185222612894096, -0.2463899271162314, 0.20676451659474138, -0.08845612945505113, -0.11602842773389176, 0.1352015800369364, 0.2331451052434255, 0.009517866561067439, -0.21203538606587413, 0.029487949522934577, 0.014597254474516784, 0.10369981874447429, 0.07655856075096075, 0.12788490310341782, 0.17733665054150483, 0.24645819033661456, 0.1278989095976315, 0.06917991949828499, -0.06650398390707081, -0.1647618549884619, -0.16446198964117217, -0.055083526254884, -0.16955869348946018, 0.008616012242561746, -0.06099424263512472, 0.03207866509366676, 0.3072231533353992, 0.10172765105788674, 0.05552931759010339, 0.10413078961145376, 0.4228735112141226, 0.0696843113645772, 0.06686050203741989, 0.07602998747916839, 0.19848173923864437, 0.09989666176098182, 0.16048771016317132, -0.23993763605580953, 0.07303265036218669, -0.027561287954884852] |
710.3889 | Epigenetic Chromatin Silencing: Bistability and Front Propagation | The role of post-translational modification of histones in eukaryotic gene
regulation is well recognized. Epigenetic silencing of genes via heritable
chromatin modifications plays a major role in cell fate specification in higher
organisms. We formulate a coarse-grained model of chromatin silencing in yeast
and study the conditions under which the system becomes bistable, allowing for
different epigenetic states. We also study the dynamics of the boundary between
the two locally stable states of chromatin: silenced and unsilenced. The model
could be of use in guiding the discussion on chromatin silencing in general. In
the context of silencing in budding yeast, it helps us understand the phenotype
of various mutants, some of which may be non-trivial to see without the help of
a mathematical model. One such example is a mutation that reduces the rate of
background acetylation of particular histone side-chains that competes with the
deacetylation by Sir2p. The resulting negative feedback due to a Sir protein
depletion effect gives rise to interesting counter-intuitive consequences. Our
mathematical analysis brings forth the different dynamical behaviors possible
within the same molecular model and guides the formulation of more refined
hypotheses that could be addressed experimentally.
| q-bio.MN | the role of posttranslational modification of histones in eukaryotic gene regulation is well recognized epigenetic silencing of genes via heritable chromatin modifications plays a major role in cell fate specification in higher organisms we formulate a coarsegrained model of chromatin silencing in yeast and study the conditions under which the system becomes bistable allowing for different epigenetic states we also study the dynamics of the boundary between the two locally stable states of chromatin silenced and unsilenced the model could be of use in guiding the discussion on chromatin silencing in general in the context of silencing in budding yeast it helps us understand the phenotype of various mutants some of which may be nontrivial to see without the help of a mathematical model one such example is a mutation that reduces the rate of background acetylation of particular histone sidechains that competes with the deacetylation by sir2p the resulting negative feedback due to a sir protein depletion effect gives rise to interesting counterintuitive consequences our mathematical analysis brings forth the different dynamical behaviors possible within the same molecular model and guides the formulation of more refined hypotheses that could be addressed experimentally | [['the', 'role', 'of', 'posttranslational', 'modification', 'of', 'histones', 'in', 'eukaryotic', 'gene', 'regulation', 'is', 'well', 'recognized', 'epigenetic', 'silencing', 'of', 'genes', 'via', 'heritable', 'chromatin', 'modifications', 'plays', 'a', 'major', 'role', 'in', 'cell', 'fate', 'specification', 'in', 'higher', 'organisms', 'we', 'formulate', 'a', 'coarsegrained', 'model', 'of', 'chromatin', 'silencing', 'in', 'yeast', 'and', 'study', 'the', 'conditions', 'under', 'which', 'the', 'system', 'becomes', 'bistable', 'allowing', 'for', 'different', 'epigenetic', 'states', 'we', 'also', 'study', 'the', 'dynamics', 'of', 'the', 'boundary', 'between', 'the', 'two', 'locally', 'stable', 'states', 'of', 'chromatin', 'silenced', 'and', 'unsilenced', 'the', 'model', 'could', 'be', 'of', 'use', 'in', 'guiding', 'the', 'discussion', 'on', 'chromatin', 'silencing', 'in', 'general', 'in', 'the', 'context', 'of', 'silencing', 'in', 'budding', 'yeast', 'it', 'helps', 'us', 'understand', 'the', 'phenotype', 'of', 'various', 'mutants', 'some', 'of', 'which', 'may', 'be', 'nontrivial', 'to', 'see', 'without', 'the', 'help', 'of', 'a', 'mathematical', 'model', 'one', 'such', 'example', 'is', 'a', 'mutation', 'that', 'reduces', 'the', 'rate', 'of', 'background', 'acetylation', 'of', 'particular', 'histone', 'sidechains', 'that', 'competes', 'with', 'the', 'deacetylation', 'by', 'sir2p', 'the', 'resulting', 'negative', 'feedback', 'due', 'to', 'a', 'sir', 'protein', 'depletion', 'effect', 'gives', 'rise', 'to', 'interesting', 'counterintuitive', 'consequences', 'our', 'mathematical', 'analysis', 'brings', 'forth', 'the', 'different', 'dynamical', 'behaviors', 'possible', 'within', 'the', 'same', 'molecular', 'model', 'and', 'guides', 'the', 'formulation', 'of', 'more', 'refined', 'hypotheses', 'that', 'could', 'be', 'addressed', 'experimentally']] | [-0.12896050886974034, 0.1280756409868206, -0.07190909804408684, 0.11224662885498746, -0.040375673247035594, -0.16615117906752092, 0.05983215573268305, 0.3210620088698833, -0.24996419387232316, -0.24584368890837618, 0.005099574733819616, -0.19772698779002224, -0.2835915073703386, 0.17727945395010083, -0.09080993453114244, -0.029109231250262574, 0.07969267609602723, 0.037389667596864073, 0.08074931273769931, -0.1886942193218458, 0.30213475438665083, 0.1085904637290361, 0.27902596509574273, 0.08448954435941568, 0.08504719982707971, -0.04462132575848189, -0.0015093635090651285, -0.002828522097000754, -0.14330305713301641, 0.1547064081741203, 0.2651498571528416, 0.15489517788304702, 0.30918161387947435, -0.4914761013890568, -0.24767824058960142, 0.11604434447853189, 0.15056862005057106, 0.19151704604921274, -0.04530394319238104, -0.255500061187501, 0.06537645676917715, -0.16487641935236752, -0.1282908831857831, -0.07450956413277278, 0.00012798854923427202, 0.01996821900811483, -0.22993388528518968, 0.12193012777332976, 0.04414999573721281, 0.06322968620806932, -0.0897551684242085, -0.07466270858789549, -0.08634840555207215, 0.20487479671933934, 0.08418559248461142, -6.189713450638871e-05, 0.2260755053194436, -0.12480407911475355, -0.13276724857033084, 0.3551174499094486, -0.0063235822041813085, -0.215819498163795, 0.20485996061347816, -0.10921273367773546, -0.18121641648835257, 0.12122511298175116, 0.1525796140470591, 0.04485232858354912, -0.17871589551826841, 0.02287428579936539, -0.00881435567647905, 0.1742534619608992, 0.12386061622344545, 0.0031053113227244465, 0.17904761438012906, 0.24319555663356657, 0.026199090309245023, 0.15146772045654391, -0.05809968248941004, -0.1678073476702067, -0.239599476404194, -0.17231305802339, -0.04303578692733457, 0.0431839043231632, -0.11000415666103915, -0.1642461603286823, 0.4246929096352113, 0.09971199172340628, 0.19439527492504566, 0.0015332138472187676, 0.18637597425473168, -0.0028519894308900754, 0.10339748336394367, -0.04867841446478116, 0.157025909213821, 0.10313346791448758, 0.06251384685502241, -0.3235065409815625, 0.18753135526846898, 0.023940177506914264] |
710.389 | The genus of a curve of Fermat type | In this paper we begin to study curves on a weighted projective plane with
one trivial weight, ${\mathbb P}(1,m,n)$, by determining the genus of curves of
Fermat type. These are curves defined by a ``homogeneous'' polynomial analagous
to the one from Fermat's last theorem. We begin by finding local coordinates
for the standard affine cover of the plane, and then prove that the curve is
smooth. This is done by pulling the curve up to the surface's
desingularization. Then a map from the curve to ${\mathbb P^1}$ is constructed,
and it's ramification divisor is determined. We conclude by applying Hurwitz's
theorem to this map to obtain $C$'s genus.
| math.AG | in this paper we begin to study curves on a weighted projective plane with one trivial weight mathbb p1mn by determining the genus of curves of fermat type these are curves defined by a homogeneous polynomial analagous to the one from fermats last theorem we begin by finding local coordinates for the standard affine cover of the plane and then prove that the curve is smooth this is done by pulling the curve up to the surfaces desingularization then a map from the curve to mathbb p1 is constructed and its ramification divisor is determined we conclude by applying hurwitzs theorem to this map to obtain cs genus | [['in', 'this', 'paper', 'we', 'begin', 'to', 'study', 'curves', 'on', 'a', 'weighted', 'projective', 'plane', 'with', 'one', 'trivial', 'weight', 'mathbb', 'p1mn', 'by', 'determining', 'the', 'genus', 'of', 'curves', 'of', 'fermat', 'type', 'these', 'are', 'curves', 'defined', 'by', 'a', 'homogeneous', 'polynomial', 'analagous', 'to', 'the', 'one', 'from', 'fermats', 'last', 'theorem', 'we', 'begin', 'by', 'finding', 'local', 'coordinates', 'for', 'the', 'standard', 'affine', 'cover', 'of', 'the', 'plane', 'and', 'then', 'prove', 'that', 'the', 'curve', 'is', 'smooth', 'this', 'is', 'done', 'by', 'pulling', 'the', 'curve', 'up', 'to', 'the', 'surfaces', 'desingularization', 'then', 'a', 'map', 'from', 'the', 'curve', 'to', 'mathbb', 'p1', 'is', 'constructed', 'and', 'its', 'ramification', 'divisor', 'is', 'determined', 'we', 'conclude', 'by', 'applying', 'hurwitzs', 'theorem', 'to', 'this', 'map', 'to', 'obtain', 'cs', 'genus']] | [-0.1613445738765681, 0.02496397598846772, -0.13631079441684985, 0.032095606435551614, -0.09139367875373253, -0.14550558722221127, 0.047604319614480105, 0.33199692688116406, -0.3711010937657312, -0.21257420259780277, 0.1106974298001711, -0.253174689694125, -0.1410466545200515, 0.2617264419498148, -0.1674384139391167, 0.008501788739998451, 0.020020472368019553, 0.04846482732111292, -0.11954888390490315, -0.35254307844998123, 0.40491920196076975, -0.07128039389309064, 0.18457317371661208, 0.02107305863053999, 0.0875173932481035, 0.03002609564948862, -0.02228630771077125, -0.010595041449033768, -0.1994999453502791, 0.16338847542103274, 0.27606171897882337, 0.09414601160831332, 0.15046535891907237, -0.3669138076219046, -0.21942197693355173, 0.2183183457389056, 0.10688398934674458, 0.03672531113968553, 0.014193513316415668, -0.22901062858856727, 0.10750285208238307, -0.06256963303921936, -0.2465304585356509, -0.034425742186553705, 0.04350542267523358, 0.04991789047049237, -0.17702838932555692, -0.01771704357761507, 0.08358223624875612, 0.15842366200071004, -0.0007405261102210835, -0.06619563473336329, -0.05522336219393901, 0.0359831046896212, 0.01508067775883268, 0.1430231724957126, 0.05750534387096484, -0.08173315486626996, -0.06414744875907341, 0.3639332610661181, -0.08340023944119566, -0.18031906283315854, 0.05647486228078047, -0.13935124089453962, -0.1021471278541765, 0.14850835782414842, 0.09452610915944537, 0.15377473044339743, -0.08396391946578695, 0.15016253845152558, -0.07719079548684514, 0.08628928784942516, 0.12844356071534696, -0.13520848433809163, 0.16463707567075112, 0.05754421573027829, 0.07209064707020733, 0.15778104736682932, -0.06720330483697912, -0.04460409247951808, -0.34328286250548384, -0.18054148402482828, -0.15223900521844277, 0.138580409809947, -0.09532132338722689, -0.13278057137243102, 0.4197209581088658, 0.034620328275399785, 0.22325937593547263, 0.13377962338903518, 0.2568330687479438, 0.1079111428165408, 0.029051891184263975, 0.051676338616863035, 0.1928099216936835, 0.1635685658939705, -0.022442754562596017, -0.132140093107129, -0.025557990217196243, 0.1958445293337072] |
710.3891 | Analysis of Critical State Response in Thin Films by ac Susceptibility
Measurements | Harmonic analysis of the temperature dependence of the nonlinear ac
susceptibility of Nb thin film gives excellent agreement with the
susceptibility calculated on basis of model of the hysteretic critical state in
2D disk.
| cond-mat.supr-con | harmonic analysis of the temperature dependence of the nonlinear ac susceptibility of nb thin film gives excellent agreement with the susceptibility calculated on basis of model of the hysteretic critical state in 2d disk | [['harmonic', 'analysis', 'of', 'the', 'temperature', 'dependence', 'of', 'the', 'nonlinear', 'ac', 'susceptibility', 'of', 'nb', 'thin', 'film', 'gives', 'excellent', 'agreement', 'with', 'the', 'susceptibility', 'calculated', 'on', 'basis', 'of', 'model', 'of', 'the', 'hysteretic', 'critical', 'state', 'in', '2d', 'disk']] | [-0.1555675403214991, 0.07855851959217997, -0.03424810267546598, -0.0747168609420495, -0.011392560568364227, -0.12974013497724252, 0.09142840954968158, 0.34841161473270726, -0.17051161935224252, -0.26895576463464427, 0.0028937628924134463, -0.3560958469067426, -0.08142521672005601, 0.26962841931483983, 0.09151812993428286, 0.15224081357283628, -0.029038596898317337, -0.002367256921442116, -0.10814656869179624, -0.15925362448701086, 0.2879230216529001, 0.03456575650831356, 0.3920433749170864, 0.0618078487322611, 0.04650635951582123, 0.0042522676179514215, 0.0937469276763937, 0.080052310395438, -0.18495123890940757, 0.06867954704691381, 0.2107156884363469, -0.1372023810605135, 0.13408969775499666, -0.4446744469597059, -0.21343772001016667, -0.025744892218533683, 0.09236989942762781, 0.06392507098943871, -0.03738300471142044, -0.18793380812413113, 0.014965181403300342, -0.10042682761216865, -0.15438874944811687, -0.12319780201377238, -0.02091685918104999, 0.03772216794245383, -0.2777371030687765, 0.20410244865342975, 0.07787893685813554, 0.16631945222616196, -0.15431620835271828, -0.1482155929209993, -0.12570363505031257, 0.05568889114896164, 0.042866481108563566, 0.10810768642627142, 0.183933839749764, -0.14824970011763713, -0.045614604889552164, 0.31067637945799265, -0.1317217056365574, -0.05742796795333133, 0.10177600011229515, -0.2575075315475902, 0.005098053391146309, 0.147813264047727, 0.15034117430503316, 0.046732546063140035, -0.10666542020900284, 0.08814486521570121, -0.044627604471957856, 0.24360766921274582, 0.030940723906764212, 0.006154213016570258, 0.23124760471503525, 0.23077710652176073, -0.05459935426273767, 0.23337924069560625, -0.08481524678577176, -0.10640953535981038, -0.2770844729726805, -0.13616791537360234, -0.17149789064355633, 0.0631975890171495, -0.17845643639071462, -0.2927079620387624, 0.4298415793215527, 0.14537888414719524, 0.21625292665489457, -0.028325653100824532, 0.2534782608204028, 0.1697330302284921, 0.019250096917590675, -0.0012279604561626911, 0.2721918288837461, 0.2691040038514663, 0.17244960472496185, -0.3530482181950527, 0.08969546149156112, 0.005315149449469412] |
710.3892 | Maturity-independent risk measures | The new notion of maturity-independent risk measures is introduced and
contrasted with the existing risk measurement concepts. It is shown, by means
of two examples, one set on a finite probability space and the other in a
diffusion framework, that, surprisingly, some of the widely utilized risk
measures cannot be used to build maturity-independent counterparts. We
construct a large class of maturity-independent risk measures and give
representative examples in both continuous- and discrete-time financial models.
| q-fin.RM math.OC math.PR | the new notion of maturityindependent risk measures is introduced and contrasted with the existing risk measurement concepts it is shown by means of two examples one set on a finite probability space and the other in a diffusion framework that surprisingly some of the widely utilized risk measures cannot be used to build maturityindependent counterparts we construct a large class of maturityindependent risk measures and give representative examples in both continuous and discretetime financial models | [['the', 'new', 'notion', 'of', 'maturityindependent', 'risk', 'measures', 'is', 'introduced', 'and', 'contrasted', 'with', 'the', 'existing', 'risk', 'measurement', 'concepts', 'it', 'is', 'shown', 'by', 'means', 'of', 'two', 'examples', 'one', 'set', 'on', 'a', 'finite', 'probability', 'space', 'and', 'the', 'other', 'in', 'a', 'diffusion', 'framework', 'that', 'surprisingly', 'some', 'of', 'the', 'widely', 'utilized', 'risk', 'measures', 'can', 'not', 'be', 'used', 'to', 'build', 'maturityindependent', 'counterparts', 'we', 'construct', 'a', 'large', 'class', 'of', 'maturityindependent', 'risk', 'measures', 'and', 'give', 'representative', 'examples', 'in', 'both', 'continuous', 'and', 'discretetime', 'financial', 'models']] | [-0.0396670963845712, 0.07436548949121252, -0.08565792437079117, 0.16083603003095814, -0.04255644058330769, -0.14391677444923276, 0.048356982070560516, 0.38415638033888844, -0.26358460975614817, -0.2281257291692064, 0.15705953609492435, -0.28797827174543944, -0.1859192277893032, 0.24069278190941795, -0.1522176077246274, 0.0941555735557095, 0.012658771452199864, 0.04703367050541075, -0.011033696738243299, -0.2552092354377045, 0.33328631907505424, 0.015775950123114807, 0.2933614360854814, 0.030721772799121316, 0.11209756815438404, -0.03778921063425705, -0.06063521146700766, 0.10271358981959852, -0.14641636422589058, 0.16446449889458323, 0.2841403213608493, 0.1789368884944308, 0.35406406118387457, -0.35923031634209973, -0.22397508445857583, 0.17640730143696265, 0.030470923848425674, 0.06473320073105003, -0.02326188881814137, -0.32171028031428395, 0.032102799055313595, -0.22027752933239467, -0.10273566536948477, -0.12934168338726618, -0.01685423979927835, 0.020987899728903647, -0.2725104086382903, 0.009760359963892322, 0.029522410655198127, 0.05416484748160368, -0.04398030849590309, -0.11034258801833187, -0.00425379037072784, 0.09788920628642173, 0.05939973799487282, -0.002210879520709185, 0.1154531317236098, -0.045334556734336444, -0.19349624160799736, 0.35666170319248186, -0.0891480001155287, -0.27552005011392267, 0.22952947926119363, -0.12103967090431404, -0.1363388229970281, 0.09356793671797373, 0.176158729597534, 0.09778713943485759, -0.20721754464811007, 0.04937548584022902, -0.022789406798485862, 0.11570198635423654, 0.0030687719914375953, 0.056911084047322605, 0.1218300045936638, 0.1398394644431966, 0.10314533428141945, 0.15010190588394548, -0.05412986943510508, -0.11998403174986474, -0.2756242780505042, -0.159897139614546, -0.16059103333636335, 0.017990173187028728, -0.0965711250449347, -0.18818295073785857, 0.38314581399562914, 0.14156549834450216, 0.1758433515328522, 0.09693023979075645, 0.24090411307866147, 0.12220661082220001, 0.04856135884888078, 0.07186730859776665, 0.16177176517674907, 0.09403211506095861, 0.019628914128253728, -0.09888729674888677, 0.139038583772306, 0.07541352939963537] |
710.3893 | Mass limits for heavy neutrinos | Neutrinos heavier than $M_Z/2\sim 45$ GeV are not excluded by particle
physics data. Stable neutrinos heavier than this might contribute to the cosmic
gamma ray background through annihilation in distant galaxies as well as to the
dark matter content of the universe. We calculate the evolution of the heavy
neutrino density in the universe as a function of its mass, $M_N$, and then the
subsequent gamma ray spectrum from annihilation of distant $N\bar{N}$ (from
$0<z<5$). The evolution of the heavy neutrino density in the universe is
calculated numerically. In order to obtain the enhancement due to structure
formation in the universe, we approximate the distribution of $N$ to be
proportional to that of dark matter in the GalICS model. The calculated gamma
ray spectrum is compared to the measured EGRET data. A conservative exclusion
region for the heavy neutrino mass is 100 to 200 GeV, both from EGRET data and
our re-evalutation of the Kamiokande data. The heavy neutrino contribution to
dark matter is found to be at most 15%.
| astro-ph | neutrinos heavier than m_z2sim 45 gev are not excluded by particle physics data stable neutrinos heavier than this might contribute to the cosmic gamma ray background through annihilation in distant galaxies as well as to the dark matter content of the universe we calculate the evolution of the heavy neutrino density in the universe as a function of its mass m_n and then the subsequent gamma ray spectrum from annihilation of distant nbarn from 0z5 the evolution of the heavy neutrino density in the universe is calculated numerically in order to obtain the enhancement due to structure formation in the universe we approximate the distribution of n to be proportional to that of dark matter in the galics model the calculated gamma ray spectrum is compared to the measured egret data a conservative exclusion region for the heavy neutrino mass is 100 to 200 gev both from egret data and our reevalutation of the kamiokande data the heavy neutrino contribution to dark matter is found to be at most 15 | [['neutrinos', 'heavier', 'than', 'm_z2sim', '45', 'gev', 'are', 'not', 'excluded', 'by', 'particle', 'physics', 'data', 'stable', 'neutrinos', 'heavier', 'than', 'this', 'might', 'contribute', 'to', 'the', 'cosmic', 'gamma', 'ray', 'background', 'through', 'annihilation', 'in', 'distant', 'galaxies', 'as', 'well', 'as', 'to', 'the', 'dark', 'matter', 'content', 'of', 'the', 'universe', 'we', 'calculate', 'the', 'evolution', 'of', 'the', 'heavy', 'neutrino', 'density', 'in', 'the', 'universe', 'as', 'a', 'function', 'of', 'its', 'mass', 'm_n', 'and', 'then', 'the', 'subsequent', 'gamma', 'ray', 'spectrum', 'from', 'annihilation', 'of', 'distant', 'nbarn', 'from', '0z5', 'the', 'evolution', 'of', 'the', 'heavy', 'neutrino', 'density', 'in', 'the', 'universe', 'is', 'calculated', 'numerically', 'in', 'order', 'to', 'obtain', 'the', 'enhancement', 'due', 'to', 'structure', 'formation', 'in', 'the', 'universe', 'we', 'approximate', 'the', 'distribution', 'of', 'n', 'to', 'be', 'proportional', 'to', 'that', 'of', 'dark', 'matter', 'in', 'the', 'galics', 'model', 'the', 'calculated', 'gamma', 'ray', 'spectrum', 'is', 'compared', 'to', 'the', 'measured', 'egret', 'data', 'a', 'conservative', 'exclusion', 'region', 'for', 'the', 'heavy', 'neutrino', 'mass', 'is', '100', 'to', '200', 'gev', 'both', 'from', 'egret', 'data', 'and', 'our', 'reevalutation', 'of', 'the', 'kamiokande', 'data', 'the', 'heavy', 'neutrino', 'contribution', 'to', 'dark', 'matter', 'is', 'found', 'to', 'be', 'at', 'most', '15']] | [-0.03209922854633381, 0.23372890139442115, -0.0865050757586557, 0.20950841097025355, -0.05848607514469352, -0.04083462783213084, 0.012143707002646156, 0.33422715986879276, -0.22565908340662386, -0.37209906104752527, -0.00504787159124611, -0.34282382148584084, 0.06717704741943938, 0.19073159561126626, 0.06890243065520606, -0.010451711769357124, 0.017341176607130495, 0.050773589968836554, -0.03842131902014704, -0.25107427447662867, 0.29668217038713574, 0.15736525653240582, 0.20303671723481134, 0.05864026754473647, 0.04099427498156382, -0.05274367896518448, -0.07654019092054416, -0.1061168204704743, -0.1070468755443861, 0.05437859685376419, 0.1987774168034472, 0.10870889088671122, 0.1136372733162716, -0.36707723311736207, -0.21015175822235288, 0.20872843154107354, 0.1796037229027466, 0.05917683739348182, -0.0904533106783804, -0.3086393210992572, 0.1048188603731216, -0.2143641627016699, -0.15069190615377875, 0.03654197995811479, -0.02481506284536971, -0.03600620634997973, -0.24079698757330853, 0.1290058110219737, -0.06679328349959437, -0.07646068530101773, -0.06688685839097681, -0.12828678797952653, -0.04294836611647736, 0.018726179548095735, 0.13540615225169209, 0.01930606708074698, 0.1922891783927168, -0.15928815734722385, -0.052894534423969505, 0.46941665966906365, -0.13538631496807543, -0.07465193282058906, 0.13663596280163065, -0.22006250991364054, -0.14047332665151252, 0.19680672679429076, 0.17174764703737483, 0.06031527631871757, -0.190462970812708, 0.10524556364440027, -0.022788777071019423, 0.1559679034190984, 0.04795819392616284, 0.022830433591956363, 0.2794056896319879, 0.1898082386019052, 0.05930668000863599, 0.0011800486969323607, -0.1496164581136933, -0.01985940762928554, -0.33112504384258673, -0.11935671927252163, -0.17336834728207795, 0.0685190945501485, -0.09039013268453086, -0.09913374470280749, 0.3658697272684159, 0.10675207548774779, 0.23856917804750127, 0.004857532537633753, 0.29983967994173455, 0.06792359941166415, 0.03857132694351354, 0.0957983187018683, 0.32344657395012855, 0.1551819449828361, 0.132244807604279, -0.22790501871384636, 0.022761698388161937, 0.003627824960165613] |
710.3894 | Upper and lower bounds on resonances for manifolds hyperbolic near
infinity | For a conformally compact manifold that is hyperbolic near infinity and of
dimension $n+1$, we complete the proof of the optimal $O(r^{n+1})$ upper bound
on the resonance counting function, correcting a mistake in the existing
literature. In the case of a compactly supported perturbation of a hyperbolic
manifold, we establish a Poisson formula expressing the regularized wave trace
as a sum over scattering resonances. This leads to an $r^{n+1}$ lower bound on
the counting function for scattering poles.
| math.SP math.DG | for a conformally compact manifold that is hyperbolic near infinity and of dimension n1 we complete the proof of the optimal orn1 upper bound on the resonance counting function correcting a mistake in the existing literature in the case of a compactly supported perturbation of a hyperbolic manifold we establish a poisson formula expressing the regularized wave trace as a sum over scattering resonances this leads to an rn1 lower bound on the counting function for scattering poles | [['for', 'a', 'conformally', 'compact', 'manifold', 'that', 'is', 'hyperbolic', 'near', 'infinity', 'and', 'of', 'dimension', 'n1', 'we', 'complete', 'the', 'proof', 'of', 'the', 'optimal', 'orn1', 'upper', 'bound', 'on', 'the', 'resonance', 'counting', 'function', 'correcting', 'a', 'mistake', 'in', 'the', 'existing', 'literature', 'in', 'the', 'case', 'of', 'a', 'compactly', 'supported', 'perturbation', 'of', 'a', 'hyperbolic', 'manifold', 'we', 'establish', 'a', 'poisson', 'formula', 'expressing', 'the', 'regularized', 'wave', 'trace', 'as', 'a', 'sum', 'over', 'scattering', 'resonances', 'this', 'leads', 'to', 'an', 'rn1', 'lower', 'bound', 'on', 'the', 'counting', 'function', 'for', 'scattering', 'poles']] | [-0.17452974280027986, 0.05239516609917582, -0.10793624346011452, 0.11497013815134377, -0.09509944759442338, -0.08760589310996138, 0.056129227977475854, 0.28566657119224986, -0.19417713350289828, -0.2218565597114238, 0.09534152986603871, -0.305358956434897, -0.16431382802835146, 0.20172741724928092, -0.06181103011665793, 0.07407188403432245, 0.03651529923988531, 0.11275272274559195, -0.0956678090907343, -0.22496005182771325, 0.3889748656323978, -7.357384235440911e-05, 0.23357395832608271, 0.1184586626779917, 0.09634395147289766, 0.049430741632187906, 0.018345978546452212, -0.045192775340726625, -0.16935867102948612, 0.14855728747153824, 0.24133565455868647, 0.07918891044902046, 0.21458087926199462, -0.3653413338538308, -0.18000426530148592, 0.11575848858368087, 0.20142083145774803, 0.0834959428999331, -0.038659298372176756, -0.26881567175596854, 0.06537511089042604, -0.10577377611650275, -0.2166547319646199, -0.018637972472646792, 0.027348083779578664, -0.027764821775838153, -0.30392399057745934, 0.05154774198913342, 0.11971393308614368, 0.036003415832256705, -0.0934401508390468, -0.10965879015963186, 0.018598631012265558, 0.0642611820541032, 0.008297279117290269, 0.0757600039473505, 0.09470030238440671, -0.08094565152166436, -0.09246378197854796, 0.28498869076637284, -0.1347790669238606, -0.29267260132284906, 0.10567676892818569, -0.1675893920413279, -0.11714905586287186, 0.1800806519708463, 0.18680695254452429, 0.19706767574920284, -0.09022472397267044, 0.16439986781613272, -0.10647033099308095, 0.10666584450896684, 0.16284745270023485, 0.017327053085356564, 0.13672748994227354, 0.1318209066702803, 0.1607473866360915, 0.16010028588307368, -0.04325908512578576, -0.0761703664509507, -0.38947936215183954, -0.1739719425004532, -0.22924147657566257, 0.13273125386236737, -0.11768588384400974, -0.23715598026121204, 0.33147854696620593, 0.008642252510437718, 0.2214045179463536, 0.15641290168338395, 0.30185194180480074, 0.19524624623515485, 0.04557555906063357, 0.08127213182992168, 0.19231594100219573, 0.17956577244444522, -0.00422868231317488, -0.18426175444544135, -0.02944508223951637, 0.13968076721414344] |
710.3895 | Thermal/quantum effects and induced superstring cosmologies | We consider classical superstring theories on flat four dimensional
space-times, and where N=4 or N=2 supersymmetry is spontaneously broken. We
obtain the thermal and quantum corrections at the string one-loop level and
show that the back-reaction on the space-time metric induces a cosmological
evolution. We concentrate on heterotic string models obtained by
compactification on a T^6 torus and on T^6/Z_2 orbifolds. The temperature T and
the supersymmetry breaking scale M are generated via the Scherk-Schwarz
mechanism on the Euclidean time cycle and on an internal spatial cycle
respectively. The effective field theory corresponds to a no-scale
supergravity, where the corresponding no-scale modulus controls the
Susy-breaking scale. The classical flatness of this modulus is lifted by an
effective thermal potential, given by the free energy. The gravitational field
equations admit solutions where M, T and the inverse scale factor 1/a of the
universe remain proportional. In particular the ratio M/T is fixed during the
time evolution. The induced cosmology is governed by a Friedmann-Hubble
equation involving an effective radiation term ~1/a^4 and an effective
curvature term ~1/a^2, whose coefficients are functions of the complex
structure ratio M/T.
| hep-th gr-qc hep-ph | we consider classical superstring theories on flat four dimensional spacetimes and where n4 or n2 supersymmetry is spontaneously broken we obtain the thermal and quantum corrections at the string oneloop level and show that the backreaction on the spacetime metric induces a cosmological evolution we concentrate on heterotic string models obtained by compactification on a t6 torus and on t6z_2 orbifolds the temperature t and the supersymmetry breaking scale m are generated via the scherkschwarz mechanism on the euclidean time cycle and on an internal spatial cycle respectively the effective field theory corresponds to a noscale supergravity where the corresponding noscale modulus controls the susybreaking scale the classical flatness of this modulus is lifted by an effective thermal potential given by the free energy the gravitational field equations admit solutions where m t and the inverse scale factor 1a of the universe remain proportional in particular the ratio mt is fixed during the time evolution the induced cosmology is governed by a friedmannhubble equation involving an effective radiation term 1a4 and an effective curvature term 1a2 whose coefficients are functions of the complex structure ratio mt | [['we', 'consider', 'classical', 'superstring', 'theories', 'on', 'flat', 'four', 'dimensional', 'spacetimes', 'and', 'where', 'n4', 'or', 'n2', 'supersymmetry', 'is', 'spontaneously', 'broken', 'we', 'obtain', 'the', 'thermal', 'and', 'quantum', 'corrections', 'at', 'the', 'string', 'oneloop', 'level', 'and', 'show', 'that', 'the', 'backreaction', 'on', 'the', 'spacetime', 'metric', 'induces', 'a', 'cosmological', 'evolution', 'we', 'concentrate', 'on', 'heterotic', 'string', 'models', 'obtained', 'by', 'compactification', 'on', 'a', 't6', 'torus', 'and', 'on', 't6z_2', 'orbifolds', 'the', 'temperature', 't', 'and', 'the', 'supersymmetry', 'breaking', 'scale', 'm', 'are', 'generated', 'via', 'the', 'scherkschwarz', 'mechanism', 'on', 'the', 'euclidean', 'time', 'cycle', 'and', 'on', 'an', 'internal', 'spatial', 'cycle', 'respectively', 'the', 'effective', 'field', 'theory', 'corresponds', 'to', 'a', 'noscale', 'supergravity', 'where', 'the', 'corresponding', 'noscale', 'modulus', 'controls', 'the', 'susybreaking', 'scale', 'the', 'classical', 'flatness', 'of', 'this', 'modulus', 'is', 'lifted', 'by', 'an', 'effective', 'thermal', 'potential', 'given', 'by', 'the', 'free', 'energy', 'the', 'gravitational', 'field', 'equations', 'admit', 'solutions', 'where', 'm', 't', 'and', 'the', 'inverse', 'scale', 'factor', '1a', 'of', 'the', 'universe', 'remain', 'proportional', 'in', 'particular', 'the', 'ratio', 'mt', 'is', 'fixed', 'during', 'the', 'time', 'evolution', 'the', 'induced', 'cosmology', 'is', 'governed', 'by', 'a', 'friedmannhubble', 'equation', 'involving', 'an', 'effective', 'radiation', 'term', '1a4', 'and', 'an', 'effective', 'curvature', 'term', '1a2', 'whose', 'coefficients', 'are', 'functions', 'of', 'the', 'complex', 'structure', 'ratio', 'mt']] | [-0.17418817065379305, 0.21431181905885555, -0.03890210812961733, 0.11452015656914964, -0.06322967241568542, -0.13484792832310336, -0.025269748173603737, 0.3040990821287237, -0.23815482736540003, -0.26956440120293584, 0.12552461658189124, -0.24983245171354831, -0.12283031926993784, 0.11163060061407049, -0.028205490635859, -0.005537481189113916, -0.03732870911071832, 0.07914604441690687, -0.06618719747214502, -0.25375422999967595, 0.3772028016404727, 0.07546871848391822, 0.26246865992560175, 0.042179488232107584, 0.15109302597812604, -0.023717706574353615, -0.0015261676162481308, 0.002767101541866322, -0.17167750030674978, 0.06132512693167538, 0.13902700915014313, 0.03522609660741747, 0.12159822766568411, -0.43104101164216124, -0.2246978235959604, 0.10307897910274363, 0.11867564967959314, 0.10165044481085764, 0.006098850535203678, -0.24321349256143376, 0.05543498328660388, -0.11197368819266558, -0.13103762694911378, -0.03711093122491965, 0.033565516262692774, -0.11131263327961033, -0.24990755273689944, 0.09807583763754951, 0.004813972281644473, 0.04137130081905304, -0.07621707095185647, -0.07416522595905573, -0.06088828435041816, 0.040185855974669796, 0.11857943723695605, 0.09298197894460974, 0.1608876442511541, -0.1833513834355226, -0.10435669029735632, 0.3881947057724402, -0.12381578168856937, -0.20184219959947106, 0.11109998556659431, -0.10698299637769122, -0.11509805043303484, 0.1132490608702741, 0.10567269089656907, 0.16475420763112, -0.10381532392521213, 0.27581243023930774, 0.02663676368475363, 0.1621112413981275, 0.10884327398411728, 0.006574128480074374, 0.2434756721193726, 0.13568151389198327, 0.06210418674257911, 0.1036113818239018, -0.04082326449932078, -0.11394781382043367, -0.4171933665972304, -0.07790533369407057, -0.12950636093706094, 0.15815753225564352, -0.20310718956516705, -0.16949437298384068, 0.3576872731206586, 0.04909364412431731, 0.1930268100815246, 0.07747418110847247, 0.19920200694453072, 0.1496446011241878, 0.08508677266009555, 0.07870216227193187, 0.2335886484993672, 0.11984933260891184, 0.09830079752750494, -0.2983202154496433, -0.08955906984723501, 0.16329128657140443] |
710.3896 | Verifying the Cosmological Utility of Type Ia Supernovae: Implications
of a Dispersion in the Ultraviolet Spectra | We analyze the mean rest-frame ultraviolet (UV) spectrum of Type Ia
Supernovae (SNe Ia) and its dispersion using high signal-to-noise Keck-I/LRIS-B
spectroscopy for a sample of 36 events at intermediate redshift (z=0.5)
discovered by the Canada-France-Hawaii Telescope Supernova Legacy Survey
(SNLS). We introduce a new method for removing host galaxy contamination in our
spectra, exploiting the comprehensive photometric coverage of the SNLS SNe and
their host galaxies, thereby providing the first quantitative view of the UV
spectral properties of a large sample of distant SNe Ia. Although the mean SN
Ia spectrum has not evolved significantly over the past 40% of cosmic history,
precise evolutionary constraints are limited by the absence of a comparable
sample of high quality local spectra. Within the high-redshift sample, we
discover significant UV spectral variations and exclude dust extinction as the
primary cause by examining trends with the optical SN color. Although
progenitor metallicity may drive some of these trends, the variations we see
are much larger than predicted in recent models and do not follow expected
patterns. An interesting new result is a variation seen in the wavelength of
selected UV features with phase. We also demonstrate systematic differences in
the SN Ia spectral features with SN light curve width in both the UV and the
optical. We show that these intrinsic variations could represent a statistical
limitation in the future use of high-redshift SNe Ia for precision cosmology.
We conclude that further detailed studies are needed, both locally and at
moderate redshift where the rest-frame UV can be studied precisely, in order
that future missions can confidently be planned to fully exploit SNe Ia as
cosmological probes [ABRIDGED].
| astro-ph | we analyze the mean restframe ultraviolet uv spectrum of type ia supernovae sne ia and its dispersion using high signaltonoise keckilrisb spectroscopy for a sample of 36 events at intermediate redshift z05 discovered by the canadafrancehawaii telescope supernova legacy survey snls we introduce a new method for removing host galaxy contamination in our spectra exploiting the comprehensive photometric coverage of the snls sne and their host galaxies thereby providing the first quantitative view of the uv spectral properties of a large sample of distant sne ia although the mean sn ia spectrum has not evolved significantly over the past 40 of cosmic history precise evolutionary constraints are limited by the absence of a comparable sample of high quality local spectra within the highredshift sample we discover significant uv spectral variations and exclude dust extinction as the primary cause by examining trends with the optical sn color although progenitor metallicity may drive some of these trends the variations we see are much larger than predicted in recent models and do not follow expected patterns an interesting new result is a variation seen in the wavelength of selected uv features with phase we also demonstrate systematic differences in the sn ia spectral features with sn light curve width in both the uv and the optical we show that these intrinsic variations could represent a statistical limitation in the future use of highredshift sne ia for precision cosmology we conclude that further detailed studies are needed both locally and at moderate redshift where the restframe uv can be studied precisely in order that future missions can confidently be planned to fully exploit sne ia as cosmological probes abridged | [['we', 'analyze', 'the', 'mean', 'restframe', 'ultraviolet', 'uv', 'spectrum', 'of', 'type', 'ia', 'supernovae', 'sne', 'ia', 'and', 'its', 'dispersion', 'using', 'high', 'signaltonoise', 'keckilrisb', 'spectroscopy', 'for', 'a', 'sample', 'of', '36', 'events', 'at', 'intermediate', 'redshift', 'z05', 'discovered', 'by', 'the', 'canadafrancehawaii', 'telescope', 'supernova', 'legacy', 'survey', 'snls', 'we', 'introduce', 'a', 'new', 'method', 'for', 'removing', 'host', 'galaxy', 'contamination', 'in', 'our', 'spectra', 'exploiting', 'the', 'comprehensive', 'photometric', 'coverage', 'of', 'the', 'snls', 'sne', 'and', 'their', 'host', 'galaxies', 'thereby', 'providing', 'the', 'first', 'quantitative', 'view', 'of', 'the', 'uv', 'spectral', 'properties', 'of', 'a', 'large', 'sample', 'of', 'distant', 'sne', 'ia', 'although', 'the', 'mean', 'sn', 'ia', 'spectrum', 'has', 'not', 'evolved', 'significantly', 'over', 'the', 'past', '40', 'of', 'cosmic', 'history', 'precise', 'evolutionary', 'constraints', 'are', 'limited', 'by', 'the', 'absence', 'of', 'a', 'comparable', 'sample', 'of', 'high', 'quality', 'local', 'spectra', 'within', 'the', 'highredshift', 'sample', 'we', 'discover', 'significant', 'uv', 'spectral', 'variations', 'and', 'exclude', 'dust', 'extinction', 'as', 'the', 'primary', 'cause', 'by', 'examining', 'trends', 'with', 'the', 'optical', 'sn', 'color', 'although', 'progenitor', 'metallicity', 'may', 'drive', 'some', 'of', 'these', 'trends', 'the', 'variations', 'we', 'see', 'are', 'much', 'larger', 'than', 'predicted', 'in', 'recent', 'models', 'and', 'do', 'not', 'follow', 'expected', 'patterns', 'an', 'interesting', 'new', 'result', 'is', 'a', 'variation', 'seen', 'in', 'the', 'wavelength', 'of', 'selected', 'uv', 'features', 'with', 'phase', 'we', 'also', 'demonstrate', 'systematic', 'differences', 'in', 'the', 'sn', 'ia', 'spectral', 'features', 'with', 'sn', 'light', 'curve', 'width', 'in', 'both', 'the', 'uv', 'and', 'the', 'optical', 'we', 'show', 'that', 'these', 'intrinsic', 'variations', 'could', 'represent', 'a', 'statistical', 'limitation', 'in', 'the', 'future', 'use', 'of', 'highredshift', 'sne', 'ia', 'for', 'precision', 'cosmology', 'we', 'conclude', 'that', 'further', 'detailed', 'studies', 'are', 'needed', 'both', 'locally', 'and', 'at', 'moderate', 'redshift', 'where', 'the', 'restframe', 'uv', 'can', 'be', 'studied', 'precisely', 'in', 'order', 'that', 'future', 'missions', 'can', 'confidently', 'be', 'planned', 'to', 'fully', 'exploit', 'sne', 'ia', 'as', 'cosmological', 'probes', 'abridged']] | [-0.03445426749072316, 0.06467773326734008, -0.07661515585636298, 0.1418784925137157, -0.13034706220139552, -0.09317641538766681, 0.08399542048403545, 0.466265641893838, -0.18553304597633435, -0.3209031656160135, 0.05020475534876863, -0.32195000466720686, -0.05288631712548761, 0.21144532239409572, -0.07275896512117364, -0.01978695327709225, 0.09117274348119302, -0.1321606392220995, -0.09509853848558256, -0.3342843177349368, 0.2872160924658057, 0.097955896927003, 0.23469238162778291, -0.056103355716064195, 0.023334838880351778, -0.08421679263098342, -0.14571826161313667, 0.01884996854737537, -0.16960929468697183, 0.05357860797775287, 0.2337848915098101, 0.18522442852819923, 0.21867514178190842, -0.3396624160218214, -0.29160511853125787, 0.15250237719631707, 0.21658739554045728, 0.10437099196706782, -0.05083328721463599, -0.253780278997975, 0.07964233270409538, -0.1507861285974326, -0.1474409925090285, 0.05133616655086079, -0.02141089935236386, 0.06246846812576681, -0.19420049098289716, 0.13051535547649348, -0.02756243861742644, 0.11898807546694892, -0.08728386319019785, -0.08920325780368961, -0.06394901617564411, 0.06800905193276975, 0.004456867680572191, 0.01966207789598767, 0.06727456906555479, -0.1619794244103025, -0.0032329233193321384, 0.41757093823385716, -0.08076811075469957, 0.042654344158580215, 0.19752677322542092, -0.20315018800141657, -0.1481509675292203, 0.12199662567199596, 0.17057090833731953, 0.07489725620737367, -0.1914253284818838, 0.009227108813220648, 0.036999215606436896, 0.19416466915731856, 0.013256239081285962, 0.16478697992017366, 0.2912780589349296, 0.12928618515168663, 0.031223760553241373, 0.04679234538152542, -0.22422655716191733, 0.05761469509554551, -0.28670189207688274, -0.0861990057077704, -0.1341971025188678, 0.13240841459272595, -0.16890152728571267, -0.11831241922561814, 0.3716257781395349, 0.11819205518742262, 0.22331690555693323, 0.06167270450506115, 0.2799999842209483, 0.058909668309705836, 0.11595973935926564, 0.042306331298178075, 0.360664947562274, 0.11743974363529905, 0.11814532952365528, -0.2419349907933102, 0.07054857417888409, -0.017717677528575237] |
710.3897 | Constraining Muon Internal Bremsstrahlung as a Contribution to the
MiniBooNE Low Energy Excess | Using a cleanly tagged data sample of $\nu_\mu$ charged current events, it is
demonstrated that the rate at which such events are mis-identified as $\nu_e$'s
is accurately simulated in the MiniBooNE $\nu_\mu \to \nu_e$ analysis. Such
mis-identification, which could arise from muon internal bremsstrahlung, is
decisively ruled out as a source of the low energy electron-like events
reported in the MiniBooNE search for $\nu_\mu \to \nu_e$ oscillations. This
refutes the conclusions of a recent paper which postulates that hard
bremsstrahlung could form a substantial background to the MiniBooNE $\nu_e$
sample.
| hep-ex | using a cleanly tagged data sample of nu_mu charged current events it is demonstrated that the rate at which such events are misidentified as nu_es is accurately simulated in the miniboone nu_mu to nu_e analysis such misidentification which could arise from muon internal bremsstrahlung is decisively ruled out as a source of the low energy electronlike events reported in the miniboone search for nu_mu to nu_e oscillations this refutes the conclusions of a recent paper which postulates that hard bremsstrahlung could form a substantial background to the miniboone nu_e sample | [['using', 'a', 'cleanly', 'tagged', 'data', 'sample', 'of', 'nu_mu', 'charged', 'current', 'events', 'it', 'is', 'demonstrated', 'that', 'the', 'rate', 'at', 'which', 'such', 'events', 'are', 'misidentified', 'as', 'nu_es', 'is', 'accurately', 'simulated', 'in', 'the', 'miniboone', 'nu_mu', 'to', 'nu_e', 'analysis', 'such', 'misidentification', 'which', 'could', 'arise', 'from', 'muon', 'internal', 'bremsstrahlung', 'is', 'decisively', 'ruled', 'out', 'as', 'a', 'source', 'of', 'the', 'low', 'energy', 'electronlike', 'events', 'reported', 'in', 'the', 'miniboone', 'search', 'for', 'nu_mu', 'to', 'nu_e', 'oscillations', 'this', 'refutes', 'the', 'conclusions', 'of', 'a', 'recent', 'paper', 'which', 'postulates', 'that', 'hard', 'bremsstrahlung', 'could', 'form', 'a', 'substantial', 'background', 'to', 'the', 'miniboone', 'nu_e', 'sample']] | [-0.030625012648912767, 0.22799751384752906, -0.0549278204018871, 0.21271438657357875, -0.0738766627619043, -0.08245393319262398, 0.10700349798555382, 0.2867232671421435, -0.19496195462221902, -0.34283986940152117, -0.05509327413359036, -0.4244465393738614, -0.03106362010455794, 0.1699123937714224, -0.02059761517577701, 0.05288473981717187, 0.13232009668006664, -0.025719053474151425, -0.00738605004735291, -0.18879086602893141, 0.20863739860683886, 0.17095514605753123, 0.27901775748986335, 0.06926549005373898, 0.06612172983845489, -0.04860951748754208, -0.10563718447875646, -0.041560787386778326, -0.04991613727858445, -0.03309971513226628, 0.31800162424592093, 0.15416572522372007, 0.06611143432350622, -0.38099036861337177, -0.18051253578418658, 0.2036856246801714, 0.16438631035077075, 0.06612831974117499, -0.06287310068599052, -0.3621897459444072, 0.09321719186587465, -0.1996129472533034, -0.10910533772160609, -0.02103862297307286, -0.004063012264668942, -0.03826722551732221, -0.3126941068718831, 0.10764720194662611, 0.028155047617231806, -0.015967726510845954, -0.03770068892174297, -0.1604005360122149, 0.024028719019972614, 0.0205807417527669, 0.1911226383746705, 0.10100000357876221, 0.19183193842052584, -0.10747380852440579, -0.16027117024900184, 0.34751801813642186, -0.026899792491975758, -0.155124997963301, 0.16071917141994668, -0.2025421066209674, -0.1060615956886775, 0.25394124881260927, 0.17373146946645446, 0.037661945977662176, -0.2568897195988231, 0.010723367574327212, -0.06894113107118756, 0.13096437932302554, 0.113335084868595, -0.02623182377881474, 0.24795437176297935, 0.2293352646753192, 0.06351250503212214, -0.03593594687473443, -0.23859486181495917, 0.04228054297467073, -0.38876625191834235, -0.0918243745704078, -0.0671884398907423, 0.16579942762360184, 0.04564757412816915, -0.14427711970897183, 0.34791191851254555, 0.09987613653971089, 0.2584512574287752, -0.09248934616464087, 0.3280186579399419, 0.04018159480506761, 0.034857802698388694, -0.005633882158953283, 0.318436103562514, 0.07401450486698498, 0.12278004710355567, -0.25837116521110554, 0.07442425006819475, -0.02211405256142219] |
710.3898 | Around MOND: Lagrangians, Hubble Equations, Perturbations and External
Field Effect | The MOdified Newtonian Dynamics (MOND) is presented here, as well as a theory
that can be linked to it: the theory of the Aether, a four-vector field
breaking Lorentz invariance. The form of its Lagrangian is studied, then basic
equations of the theory are rederived in a detailed way, and calculated for
different metrics, exploring the impact of non-zero spatial terms of the
Aether. A brief attempt of making the Aether Lagrangian depend on a scalar
field is presented. An analytic solving of a galaxy model with an external
field is described, which highlights the MONDian external field effect that
breaks the strong equivalence principle.
| astro-ph | the modified newtonian dynamics mond is presented here as well as a theory that can be linked to it the theory of the aether a fourvector field breaking lorentz invariance the form of its lagrangian is studied then basic equations of the theory are rederived in a detailed way and calculated for different metrics exploring the impact of nonzero spatial terms of the aether a brief attempt of making the aether lagrangian depend on a scalar field is presented an analytic solving of a galaxy model with an external field is described which highlights the mondian external field effect that breaks the strong equivalence principle | [['the', 'modified', 'newtonian', 'dynamics', 'mond', 'is', 'presented', 'here', 'as', 'well', 'as', 'a', 'theory', 'that', 'can', 'be', 'linked', 'to', 'it', 'the', 'theory', 'of', 'the', 'aether', 'a', 'fourvector', 'field', 'breaking', 'lorentz', 'invariance', 'the', 'form', 'of', 'its', 'lagrangian', 'is', 'studied', 'then', 'basic', 'equations', 'of', 'the', 'theory', 'are', 'rederived', 'in', 'a', 'detailed', 'way', 'and', 'calculated', 'for', 'different', 'metrics', 'exploring', 'the', 'impact', 'of', 'nonzero', 'spatial', 'terms', 'of', 'the', 'aether', 'a', 'brief', 'attempt', 'of', 'making', 'the', 'aether', 'lagrangian', 'depend', 'on', 'a', 'scalar', 'field', 'is', 'presented', 'an', 'analytic', 'solving', 'of', 'a', 'galaxy', 'model', 'with', 'an', 'external', 'field', 'is', 'described', 'which', 'highlights', 'the', 'mondian', 'external', 'field', 'effect', 'that', 'breaks', 'the', 'strong', 'equivalence', 'principle']] | [-0.1819384846215447, 0.1446899400339351, -0.1397172838449478, 0.10077623180778963, -0.14561683370598724, -0.1101792362163819, -0.06492456559734862, 0.30063759288085357, -0.25087200246219127, -0.283941984779778, 0.04146726756201436, -0.19250713520062465, -0.1716837488647018, 0.13867066019835572, -0.006561939679973182, -0.00047971326864734736, -0.03691085569250087, 0.06753635379552309, -0.07916647057891602, -0.20676659459824717, 0.3263947186769829, 0.0821209960750171, 0.240004473257189, 0.049712225524265144, 0.16578937800867216, -0.0021009404877466815, -0.02301093122611443, 0.09885616003580036, -0.11784421111127207, 0.07549325067638642, 0.14968620408326389, 0.11415681809164761, 0.24272388740930528, -0.43488241788886844, -0.23595494050976065, 0.039336535503112134, 0.1138991183423925, 0.13572093989849757, -0.06169298140088185, -0.30410849939854373, 0.04596637157900702, -0.1842914988597234, -0.21534348025563219, -0.08598598541159715, 0.014760736572844465, 5.386774649932271e-05, -0.2349184447012487, 0.07404826788143033, 0.05365101941750341, 0.07749762097373605, -0.09755593207110429, -0.04165901104431777, -0.003791954716490138, 0.07650693385817466, 0.1264326732051337, 0.10679545469049896, 0.16892835315583007, -0.18180984427121336, -0.07888641171711719, 0.4729643285274506, -0.10960251111980705, -0.23746309261769055, 0.12123489384872041, -0.1014802522824279, -0.11731460583174512, 0.05048020005314833, 0.13379847130161665, 0.12250362607162624, -0.1758880154451444, 0.15711726770643422, -0.04846969163488774, 0.12847351529192003, 0.04422626659008009, 0.0020126461873241214, 0.23377028466424063, 0.11160261038513411, 0.0034368910527388962, 0.08354052205769612, -0.014128494340305527, -0.1513229303682844, -0.4017228390755398, -0.15109810629205422, -0.159090876907465, 0.07263048011366101, -0.11404071783278293, -0.17300044694649322, 0.38229703945107757, 0.1299309243536776, 0.13452003950341826, 0.026074336807332222, 0.29471215930811706, 0.1682931059095565, 0.06146031994638698, 0.03392589047018971, 0.3182133464763562, 0.1997889482515997, 0.061166970383021095, -0.22837213366070674, -0.010542953098636298, 0.09217742654894079] |
710.3899 | Possible Enhanced Flux of Glassy Solid Helium in Cylindrical Corrugated
Nanopores | By using the glassy (helium-)fluid model and boundary perturbation method, we
can obtain the velocity fields (as well as the flow rate; up to the second
order) inside the wavy-rough cylindrical nanopores which are of the same size
as those samples prepared by Kim and Chan as well as Day {\it et al.} Our
results show that the velocities measured in porous Vycor samples could be
reproduced by carefully selecting relevant parameters but those in glass
capillaries are difficult to obtain.
| cond-mat.other cond-mat.dis-nn | by using the glassy heliumfluid model and boundary perturbation method we can obtain the velocity fields as well as the flow rate up to the second order inside the wavyrough cylindrical nanopores which are of the same size as those samples prepared by kim and chan as well as day it et al our results show that the velocities measured in porous vycor samples could be reproduced by carefully selecting relevant parameters but those in glass capillaries are difficult to obtain | [['by', 'using', 'the', 'glassy', 'heliumfluid', 'model', 'and', 'boundary', 'perturbation', 'method', 'we', 'can', 'obtain', 'the', 'velocity', 'fields', 'as', 'well', 'as', 'the', 'flow', 'rate', 'up', 'to', 'the', 'second', 'order', 'inside', 'the', 'wavyrough', 'cylindrical', 'nanopores', 'which', 'are', 'of', 'the', 'same', 'size', 'as', 'those', 'samples', 'prepared', 'by', 'kim', 'and', 'chan', 'as', 'well', 'as', 'day', 'it', 'et', 'al', 'our', 'results', 'show', 'that', 'the', 'velocities', 'measured', 'in', 'porous', 'vycor', 'samples', 'could', 'be', 'reproduced', 'by', 'carefully', 'selecting', 'relevant', 'parameters', 'but', 'those', 'in', 'glass', 'capillaries', 'are', 'difficult', 'to', 'obtain']] | [-0.005382695837761275, 0.1719756765232887, -0.05743467534193769, -0.003006126149557531, -0.025305190007202327, -0.10472783651202917, 0.004005264642182737, 0.4004832183592953, -0.2524102743354888, -0.39117492008954285, 0.1262646266637603, -0.26486807405017315, -0.09963975364807993, 0.20128374313644598, -0.06480614891042932, 0.08525751617271453, 0.010184074791322929, -0.017633150867186486, -0.013491910784750871, -0.2812306601786986, 0.24540575334976894, 0.04794851131737232, 0.2574926128378138, 0.011173399962717667, 0.039904942978319015, -0.04945351020433009, 0.020976448623696343, 0.10650678365491331, -0.16695175890099562, 0.03322175884968601, 0.24236078179965262, 0.025495905487332493, 0.196817334293155, -0.41676513431593776, -0.271233150747139, 0.004319415055215358, 0.1448987591895275, 0.14131895161845023, -0.03177137139136903, -0.30226299841015136, 0.08555026073008776, -0.13566759965615346, -0.15138619475183077, -0.113709987513721, 0.001991986233042553, 0.08405202438589185, -0.2687665477162227, 0.1254761269898154, 0.03881756759801647, 0.014886774611659348, -0.05396788471553009, -0.1406094105914235, -0.07103227722982411, 0.12697390180546791, 0.03468950032111025, 0.039382050244603305, 0.17488960430491715, -0.10047170118195936, -0.06499453426586115, 0.3816127591766417, -0.0804923984411289, -0.14540599153842776, 0.19724010229110717, -0.12544388195528883, -0.029788337484933435, 0.11961759515979793, 0.15724884936353192, 0.14572409723259624, -0.15993499400792643, -0.002157415084366221, -0.07054778351302957, 0.15273441628087311, 0.13258948849979788, -0.03453092174604535, 0.1620832077387604, 0.15517658786993707, -0.010530316701624543, 0.15132339642732404, -0.08232935757841915, -0.03662703881054767, -0.26232676743529737, -0.15830150299007073, -0.22120484538027085, 0.01997610293328762, -0.07864997697142825, -0.12044608460273594, 0.32734024578530807, 0.10964633186231368, 0.27377173913409936, 0.022125469033198897, 0.26429734542616645, 0.07653504550107755, 0.09909737058915198, 0.08540978911332786, 0.263909134012647, 0.13956775641709102, 0.11437357510440052, -0.17064458151544387, 0.09411686577368528, 0.06195442487951368] |
710.39 | Law without Law | We consider a model for spacetime in which there is an ubiquitous background
Dark Energy which is the Zero Point Field. This is further modeled in terms of
a Weiner process that leads to a Random or Brownian characterization.
Nevertheless we are able to recover meaningful physics, very much in the spirit
of Wheeler's Law without Law, that is laws emerging from an underpinning of
lawlessness.
| physics.gen-ph | we consider a model for spacetime in which there is an ubiquitous background dark energy which is the zero point field this is further modeled in terms of a weiner process that leads to a random or brownian characterization nevertheless we are able to recover meaningful physics very much in the spirit of wheelers law without law that is laws emerging from an underpinning of lawlessness | [['we', 'consider', 'a', 'model', 'for', 'spacetime', 'in', 'which', 'there', 'is', 'an', 'ubiquitous', 'background', 'dark', 'energy', 'which', 'is', 'the', 'zero', 'point', 'field', 'this', 'is', 'further', 'modeled', 'in', 'terms', 'of', 'a', 'weiner', 'process', 'that', 'leads', 'to', 'a', 'random', 'or', 'brownian', 'characterization', 'nevertheless', 'we', 'are', 'able', 'to', 'recover', 'meaningful', 'physics', 'very', 'much', 'in', 'the', 'spirit', 'of', 'wheelers', 'law', 'without', 'law', 'that', 'is', 'laws', 'emerging', 'from', 'an', 'underpinning', 'of', 'lawlessness']] | [-0.08867077590107467, 0.13761476606922576, -0.14764338271043292, 0.07785517323306769, -0.08323660151412089, -0.14196192366635482, 0.020424267031943822, 0.3080447350036014, -0.2553971272921472, -0.2841078035364097, 0.07035151754230769, -0.2426521355201575, -0.17188171092703036, 0.19777967025187204, -0.11821046811669614, -0.011112311234076818, -0.038269111218114354, 0.04557845800776373, 0.013375820863681534, -0.16700926279846692, 0.3005923685039196, 0.0973337457910406, 0.27505118831653486, 0.012586352013220841, 0.13691488223037485, -0.022563300021416086, -0.030090039438977274, 0.04412848327421781, -0.11381766246036436, 0.09758186101857008, 0.23405790017833086, 0.09499473200941627, 0.2557047573659061, -0.42238882769632974, -0.24300017275593497, 0.1471263835432403, 0.13242540191188737, 0.12489953425106112, -0.08200564732859758, -0.23301663690698193, 0.09191145710858771, -0.15153474490525146, -0.16855429132666552, -0.06386652865066109, 0.012462363742418926, -0.03171568646123915, -0.28120232026346703, 0.1084742895186399, 0.12814508609925257, 0.014254286518376885, -0.04591626358088626, -0.02771515321607391, 0.037366261128971186, 0.1022069874734646, 0.06943599553381898, 0.044938249019623705, 0.10927156237603138, -0.16994346430962623, -0.1268605398733846, 0.43452774714960746, -0.04691857867168658, -0.21209867865863172, 0.1901190715531508, -0.13069126467841366, -0.12215205223412451, 0.11832467429198776, 0.12513718760403042, 0.07774789552808437, -0.19262439385056496, 0.12557632896597637, -0.05837853056745547, 0.18496396916320504, 0.027858013901012866, 0.015442630621802175, 0.23466784111929662, 0.15201093083967201, 0.09483958324276362, 0.13507453031894384, -0.03892480969697124, -0.16199928527754365, -0.3458166169002652, -0.15695204384004077, -0.19876589177345688, 0.12031428702175617, -0.07962396005027447, -0.19024132022450707, 0.3251236933283508, 0.15675950359383767, 0.2099292050397983, 0.043757460224724404, 0.24987417465132294, 0.1614760833503114, 0.034412106167468606, 0.045136406290994, 0.22916408120231194, 0.12809349108261592, 0.14071121970614928, -0.11584501310293986, 0.03374792386382593, 0.03866758897449031] |
710.3901 | A recursive linear time modular decomposition algorithm via LexBFS | A module of a graph G is a set of vertices that have the same set of
neighbours outside. Modules of a graphs form a so-called partitive family and
thereby can be represented by a unique tree MD(G), called the modular
decomposition tree. Motivated by the central role of modules in numerous
algorithmic graph theory questions, the problem of efficiently computing MD(G)
has been investigated since the early 70's. To date the best algorithms run in
linear time but are all rather complicated. By combining previous algorithmic
paradigms developed for the problem, we are able to present a simpler
linear-time that relies on very simple data-structures, namely slice
decomposition and sequences of rooted ordered trees.
| cs.DM | a module of a graph g is a set of vertices that have the same set of neighbours outside modules of a graphs form a socalled partitive family and thereby can be represented by a unique tree mdg called the modular decomposition tree motivated by the central role of modules in numerous algorithmic graph theory questions the problem of efficiently computing mdg has been investigated since the early 70s to date the best algorithms run in linear time but are all rather complicated by combining previous algorithmic paradigms developed for the problem we are able to present a simpler lineartime that relies on very simple datastructures namely slice decomposition and sequences of rooted ordered trees | [['a', 'module', 'of', 'a', 'graph', 'g', 'is', 'a', 'set', 'of', 'vertices', 'that', 'have', 'the', 'same', 'set', 'of', 'neighbours', 'outside', 'modules', 'of', 'a', 'graphs', 'form', 'a', 'socalled', 'partitive', 'family', 'and', 'thereby', 'can', 'be', 'represented', 'by', 'a', 'unique', 'tree', 'mdg', 'called', 'the', 'modular', 'decomposition', 'tree', 'motivated', 'by', 'the', 'central', 'role', 'of', 'modules', 'in', 'numerous', 'algorithmic', 'graph', 'theory', 'questions', 'the', 'problem', 'of', 'efficiently', 'computing', 'mdg', 'has', 'been', 'investigated', 'since', 'the', 'early', '70s', 'to', 'date', 'the', 'best', 'algorithms', 'run', 'in', 'linear', 'time', 'but', 'are', 'all', 'rather', 'complicated', 'by', 'combining', 'previous', 'algorithmic', 'paradigms', 'developed', 'for', 'the', 'problem', 'we', 'are', 'able', 'to', 'present', 'a', 'simpler', 'lineartime', 'that', 'relies', 'on', 'very', 'simple', 'datastructures', 'namely', 'slice', 'decomposition', 'and', 'sequences', 'of', 'rooted', 'ordered', 'trees']] | [-0.1320676376834806, 0.07943279432590332, -0.09978792673434343, 0.07680504745088942, -0.1392097017245792, -0.1295246338520787, 0.05683722365913063, 0.36570035943990215, -0.29171541326662953, -0.30354613395767255, 0.14199668240249402, -0.21388296877736585, -0.16025343164393122, 0.17907633058922856, -0.08099811737785083, 0.049963216313667465, 0.10689795844506048, 0.06483848551451638, 0.004326506697556428, -0.2601753931125961, 0.33270906478068546, 0.05479962247824133, 0.2218092088996057, 0.0017505862603062077, 0.1258325524068552, 0.018205902098040832, -0.05145028086477205, 0.09579255882029732, -0.0956357457199422, 0.13857407966555146, 0.28729853166569547, 0.20546837300756587, 0.27999427225522433, -0.43327857594806374, -0.1723702688325654, 0.1501786973298805, 0.16568780470672145, 0.0886513094025615, -0.03759656036619849, -0.20714699033149436, 0.12996582664434977, -0.15291259345433086, -0.0647077894005761, -0.04773447925649714, 0.057772480441551456, -0.020081283814649572, -0.22715287178493382, -0.025581268728465625, 0.07555628379831385, 0.036228755509415476, 0.016002688869392795, -0.14415965638564607, 0.009104567418577509, 0.11895957875081845, -0.06615564169305001, 0.059370677646559976, 0.0811990645036036, -0.11576693019780673, -0.20527392489378127, 0.3605142537184803, -0.008392101298739905, -0.16355032125169314, 0.18335291584790275, -0.08009325009525607, -0.19903735732537156, 0.1228675768984351, 0.12621169304475188, 0.14200509133699693, -0.17646271003442898, 0.1555129655160974, -0.07862037064899739, 0.1091495377114737, 0.10868019150700747, -0.011850606809419236, 0.18496869826329904, 0.19305124752868882, 0.07336002714286574, 0.1610448741866684, 0.04012785635668, -0.06413710128368907, -0.2164249931331397, -0.11272660555040236, -0.17989921718406932, -0.013586561987993488, -0.10883434142752983, -0.22168015838568017, 0.44714301522911054, 0.0881781980891614, 0.19809666777993634, 0.11092023725474351, 0.25566032269087274, 0.05438367859996537, 0.09042712427132453, 0.1185002305785913, 0.1607153293402996, 0.15389816303484208, 0.023706720141171103, -0.12406528520238537, 0.10294748018414043, 0.1447903409502224] |
710.3902 | Strangeness and bulk freeze-out properties at RHIC | Identified charged kaon, pion, and proton spectra and ratios from sqrt(s_NN)
= 200 and 62.4 GeV Cu+Cu collisions are studied with a hydro-motivated
blast-wave and a statistical model framework in order to explore the
strangeness production at RHIC and characterize the bulk freeze-out properties
of the created system. The spectra are measured at mid-rapidity |y|<0.1 over
the transverse momentum range of 0.25 < p_T < 1.2 GeV/c with particle
identification derived from the ionization energy loss in the STAR Time
Projection Chamber.
The multi-dimensional systematic study of pi(+/-), K(+/-), p and pbar
production in Cu+Cu, Au+Au, d+Au and p+p collisions is used to discuss the
energy, system size and inferred energy density dependence of freeze-out
parameters and strangeness production. The new data from Cu+Cu collisions
bridge the gap between the smaller d+Au and larger Au+Au systems, allowing a
detailed study of the onset of strangeness equilibration at RHIC.
| nucl-ex | identified charged kaon pion and proton spectra and ratios from sqrts_nn 200 and 624 gev cucu collisions are studied with a hydromotivated blastwave and a statistical model framework in order to explore the strangeness production at rhic and characterize the bulk freezeout properties of the created system the spectra are measured at midrapidity y01 over the transverse momentum range of 025 p_t 12 gevc with particle identification derived from the ionization energy loss in the star time projection chamber the multidimensional systematic study of pi k p and pbar production in cucu auau dau and pp collisions is used to discuss the energy system size and inferred energy density dependence of freezeout parameters and strangeness production the new data from cucu collisions bridge the gap between the smaller dau and larger auau systems allowing a detailed study of the onset of strangeness equilibration at rhic | [['identified', 'charged', 'kaon', 'pion', 'and', 'proton', 'spectra', 'and', 'ratios', 'from', 'sqrts_nn', '200', 'and', '624', 'gev', 'cucu', 'collisions', 'are', 'studied', 'with', 'a', 'hydromotivated', 'blastwave', 'and', 'a', 'statistical', 'model', 'framework', 'in', 'order', 'to', 'explore', 'the', 'strangeness', 'production', 'at', 'rhic', 'and', 'characterize', 'the', 'bulk', 'freezeout', 'properties', 'of', 'the', 'created', 'system', 'the', 'spectra', 'are', 'measured', 'at', 'midrapidity', 'y01', 'over', 'the', 'transverse', 'momentum', 'range', 'of', '025', 'p_t', '12', 'gevc', 'with', 'particle', 'identification', 'derived', 'from', 'the', 'ionization', 'energy', 'loss', 'in', 'the', 'star', 'time', 'projection', 'chamber', 'the', 'multidimensional', 'systematic', 'study', 'of', 'pi', 'k', 'p', 'and', 'pbar', 'production', 'in', 'cucu', 'auau', 'dau', 'and', 'pp', 'collisions', 'is', 'used', 'to', 'discuss', 'the', 'energy', 'system', 'size', 'and', 'inferred', 'energy', 'density', 'dependence', 'of', 'freezeout', 'parameters', 'and', 'strangeness', 'production', 'the', 'new', 'data', 'from', 'cucu', 'collisions', 'bridge', 'the', 'gap', 'between', 'the', 'smaller', 'dau', 'and', 'larger', 'auau', 'systems', 'allowing', 'a', 'detailed', 'study', 'of', 'the', 'onset', 'of', 'strangeness', 'equilibration', 'at', 'rhic']] | [-0.05243751833202421, 0.26203147774746566, -0.17968566028543542, 0.12541519827613634, 0.07390463425286321, -0.09705571188492791, -0.06996172570183666, 0.30202993806677925, -0.21373001523574608, -0.32810640877061004, -0.13941886646514629, -0.4040737679072966, 0.190279479583195, 0.12390958822005713, 0.11103460766349195, 0.11359374562420675, 0.14025902270320026, 0.004458038446803887, -0.0701005434578595, -0.1546934833491428, 0.2774525889172865, 0.13883802380749127, 0.20277374795922595, 0.2228322896666618, 0.025342583120315492, 0.06747377119770842, -0.016987969808219025, -0.005983112226305012, -0.2222869999184493, 0.037235682884177855, 0.291857132201484, 0.032640931261185974, 0.12397418059926066, -0.30468489334048676, -0.13255657196067558, 0.14557779284556696, 0.11528842448670831, 0.044459032106614255, -0.08356544950159635, -0.25086337865569575, 0.13172871545086512, -0.2705213468644716, -0.12888712581399078, -0.012186049063327827, 0.01371819216809753, 0.0751963190915477, -0.31032377418402274, 0.18980201436109687, -0.03669751589768566, 0.1480590412894445, -0.06279018387107903, -0.23191794031137963, -0.12958287884571795, -0.027875964709285956, 0.08073530093679437, 0.1284146508761397, 0.23753753858101037, -0.12399770072483483, -0.12582133838117848, 0.4335056371960996, 0.04556202039546204, -0.06337155048903595, 0.1964218821845457, -0.24138238143253452, -0.10925663700456628, 0.19088283491307972, 0.2932198867460506, 0.0759737170915792, -0.248254112060143, 0.009265665103157517, 0.004165193288321866, 0.2079326131643029, 0.14693882650721612, 0.08091194549827681, 0.14880658766358262, 0.1987058373690363, -0.036953593416708626, 0.08067648015235641, -0.16783284186751896, -0.08575220916342612, -0.3872730533217287, -0.08676539696170948, -0.07837426653390543, 0.05521170019508443, -0.10300795191849627, 0.0293409619674397, 0.3618563847315575, 0.07268233737300357, 0.3263757947392555, -0.02625075236493204, 0.28123967408383677, 0.06702811985936326, 0.02570920393595265, 0.1503378300840268, 0.2346686433108213, 0.18850507052169027, 0.3144148265799029, -0.3054174687398093, 0.027667036934872158, 0.02194852850031263] |
710.3903 | Lorentzian spacetimes with constant curvature invariants in three
dimensions | In this paper we study Lorentzian spacetimes for which all polynomial scalar
invariants constructed from the Riemann tensor and its covariant derivatives
are constant (CSI spacetimes) in three dimensions. We determine all such CSI
metrics explicitly, and show that for every CSI with particular constant
invariants there is a locally homogeneous spacetime with precisely the same
constant invariants. We prove that a three-dimensional CSI spacetime is either
(i) locally homogeneous or (ii) it is locally a Kundt spacetime. Moreover, we
show that there exists a null frame in which the Riemann (Ricci) tensor and its
derivatives are of boost order zero with constant boost weight zero components
at each order. Lastly, these spacetimes can be explicitly constructed from
locally homogeneous spacetimes and vanishing scalar invariant spacetimes.
| gr-qc | in this paper we study lorentzian spacetimes for which all polynomial scalar invariants constructed from the riemann tensor and its covariant derivatives are constant csi spacetimes in three dimensions we determine all such csi metrics explicitly and show that for every csi with particular constant invariants there is a locally homogeneous spacetime with precisely the same constant invariants we prove that a threedimensional csi spacetime is either i locally homogeneous or ii it is locally a kundt spacetime moreover we show that there exists a null frame in which the riemann ricci tensor and its derivatives are of boost order zero with constant boost weight zero components at each order lastly these spacetimes can be explicitly constructed from locally homogeneous spacetimes and vanishing scalar invariant spacetimes | [['in', 'this', 'paper', 'we', 'study', 'lorentzian', 'spacetimes', 'for', 'which', 'all', 'polynomial', 'scalar', 'invariants', 'constructed', 'from', 'the', 'riemann', 'tensor', 'and', 'its', 'covariant', 'derivatives', 'are', 'constant', 'csi', 'spacetimes', 'in', 'three', 'dimensions', 'we', 'determine', 'all', 'such', 'csi', 'metrics', 'explicitly', 'and', 'show', 'that', 'for', 'every', 'csi', 'with', 'particular', 'constant', 'invariants', 'there', 'is', 'a', 'locally', 'homogeneous', 'spacetime', 'with', 'precisely', 'the', 'same', 'constant', 'invariants', 'we', 'prove', 'that', 'a', 'threedimensional', 'csi', 'spacetime', 'is', 'either', 'i', 'locally', 'homogeneous', 'or', 'ii', 'it', 'is', 'locally', 'a', 'kundt', 'spacetime', 'moreover', 'we', 'show', 'that', 'there', 'exists', 'a', 'null', 'frame', 'in', 'which', 'the', 'riemann', 'ricci', 'tensor', 'and', 'its', 'derivatives', 'are', 'of', 'boost', 'order', 'zero', 'with', 'constant', 'boost', 'weight', 'zero', 'components', 'at', 'each', 'order', 'lastly', 'these', 'spacetimes', 'can', 'be', 'explicitly', 'constructed', 'from', 'locally', 'homogeneous', 'spacetimes', 'and', 'vanishing', 'scalar', 'invariant', 'spacetimes']] | [-0.2110587618431993, 0.14845154612576442, -0.05304292717067126, 0.05068661947549868, -0.12947685261892658, -0.21626962693999446, -0.094785590477783, 0.38842474213904804, -0.22805091253821813, -0.16187165418477167, 0.13174133637406316, -0.26743450338050484, -0.17058629893867802, 0.09074642108420708, -0.039748155231040624, 0.00629593850213236, 0.02208771972384836, 0.11448752701223369, -0.15715208028938385, -0.3215399009308645, 0.46519689439308076, 0.004498146295118782, 0.28173471630610053, 0.012523248326033354, 0.18032789472786206, -0.07311051739342807, -0.019799366951846177, 0.09396398265565199, -0.18442786059850255, 0.03440740030990647, 0.2840848410102938, 0.09883043494275105, 0.16106829158074798, -0.36474498537519673, -0.24242285671200425, 0.14587343173722425, 0.10446307020232318, 0.11940566096491816, -0.01587023499370035, -0.27229998219344353, 0.1659288843280621, -0.15990205830155266, -0.13540486934445134, -0.08580084270723755, -0.0005998980726987596, -0.05435832544222533, -0.22405207919932546, 0.07937398535155114, 0.047275109852235465, 0.010153385518591792, -0.13803826083820905, -0.061458104763120885, -0.05542597525738298, 0.08359001726392538, 0.0760163725224427, 0.029664333412675038, 0.05896936540652643, -0.07655257257098878, -0.09826443065974182, 0.3529203951004006, -0.12077725383209154, -0.3593512467433891, 0.11119425632355232, -0.17788422343114185, -0.1109671953452071, 0.09359983825087843, 0.11891399388245884, 0.20209257453606125, -0.11426394829888725, 0.1831333122848134, -0.014322952485628544, 0.12260046330768437, 0.1474692736648851, 0.024442317211882225, 0.18356928399335298, -0.016518179314314492, 0.1077500810039517, 0.10469440649732918, 0.021045204917235032, -0.06061485381972503, -0.4364637934735843, -0.24535331149245537, -0.1586602173749328, 0.15588729817324157, -0.18419597473777166, -0.20035220889581573, 0.3446924487454078, 0.0355850468294525, 0.11498278176267854, 0.09991508093477773, 0.2619927503004123, 0.08719768784644585, 0.02872204343743977, 0.21399980656699175, 0.21851230834034227, 0.13188745791003817, 0.05169623301065128, -0.12326970384622525, -0.027630809447607988, 0.08320756616543919] |
710.3904 | Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes | Two delocalized states of metallic zigzag carbon nanotubes near the Dirac
point can be localized by the Aharanov-Bohm magnetic field around 20 Tesla. The
dependence of the localization on the length and diameter of the nanotubes
shows that the localization-delocalization transition can be observed for 2 nm
diameter tube. The mechanism of the localization is explained in terms of the
deformation-induced gauge field, which shows a topological nature of the
localization. The transition from the delocalized states to the localized
states can be observed by scanning tunneling microscopy and spectroscopy. A
similarity between the transition and the spin Hall effect is discussed.
| cond-mat.mes-hall cond-mat.mtrl-sci | two delocalized states of metallic zigzag carbon nanotubes near the dirac point can be localized by the aharanovbohm magnetic field around 20 tesla the dependence of the localization on the length and diameter of the nanotubes shows that the localizationdelocalization transition can be observed for 2 nm diameter tube the mechanism of the localization is explained in terms of the deformationinduced gauge field which shows a topological nature of the localization the transition from the delocalized states to the localized states can be observed by scanning tunneling microscopy and spectroscopy a similarity between the transition and the spin hall effect is discussed | [['two', 'delocalized', 'states', 'of', 'metallic', 'zigzag', 'carbon', 'nanotubes', 'near', 'the', 'dirac', 'point', 'can', 'be', 'localized', 'by', 'the', 'aharanovbohm', 'magnetic', 'field', 'around', '20', 'tesla', 'the', 'dependence', 'of', 'the', 'localization', 'on', 'the', 'length', 'and', 'diameter', 'of', 'the', 'nanotubes', 'shows', 'that', 'the', 'localizationdelocalization', 'transition', 'can', 'be', 'observed', 'for', '2', 'nm', 'diameter', 'tube', 'the', 'mechanism', 'of', 'the', 'localization', 'is', 'explained', 'in', 'terms', 'of', 'the', 'deformationinduced', 'gauge', 'field', 'which', 'shows', 'a', 'topological', 'nature', 'of', 'the', 'localization', 'the', 'transition', 'from', 'the', 'delocalized', 'states', 'to', 'the', 'localized', 'states', 'can', 'be', 'observed', 'by', 'scanning', 'tunneling', 'microscopy', 'and', 'spectroscopy', 'a', 'similarity', 'between', 'the', 'transition', 'and', 'the', 'spin', 'hall', 'effect', 'is', 'discussed']] | [-0.17312292320032915, 0.26311124678628117, -0.05839857668159347, 0.03034468303096718, 0.04146465402628368, -0.14559987049513295, 0.04072297026583578, 0.38920344793986456, -0.2677538813110076, -0.2921121828623262, 0.01646989912100538, -0.314746694666717, -0.1425015882168915, 0.14602490388970896, 0.03705167596904086, -0.01119121266596017, 0.003410160838279362, 0.015430642015702439, -0.08138278125575286, -0.1547003624111633, 0.2858354034194467, 0.03157757386375748, 0.3327500498397093, 0.14603076171467774, 0.002717659347599336, -0.004520390511435621, 0.12755104156174496, 0.06290527989211328, -0.10249586909013292, 0.08401439252923534, 0.1991275573039756, -0.06916071964409568, 0.16711205343588018, -0.4232240840975268, -0.2062227239412274, -0.019458043390663007, 0.17536585372256333, 0.11932497733961973, -0.023103805789587033, -0.3792453233663942, 0.08374796271114153, -0.0839854286088809, -0.12952676529347823, -0.02507419484283994, 0.009625909774673773, -0.029874929866077853, -0.20661338997146517, 0.10341430754473835, 0.04403914955864642, 0.07563280821869187, -0.06669688053593478, -0.054310107704105916, -0.08987053214371496, 0.10261683433554043, 0.03856197706287882, 0.03633740080483988, 0.197912740909184, -0.1273252960458836, -0.16118608698974746, 0.34934096704876305, -0.06541496864976544, -0.08823438142152394, 0.17037232400502497, -0.201404494479956, -0.006148462562693977, 0.2045926168907945, 0.06671588690312323, 0.12300780244792502, -0.10180084237842546, 0.06909573622853678, -0.008034887561556316, 0.17345472846286344, 0.08097029957285735, 0.07226563229992547, 0.2868629247132762, 0.18065046550085148, 0.050767442868912924, 0.14867806243459128, -0.20650326406501016, -0.046007757438072824, -0.25134968509276706, -0.19423532534810697, -0.25804661891386643, 0.09711756601966187, -0.08000467403511649, -0.19117244999563576, 0.4532767696780901, 0.12410976897979922, 0.2052553801286016, -0.05008297352754858, 0.20582164653723, 0.13578087742458664, 0.0964505452315743, -0.008032562197459972, 0.2857996213852483, 0.18633683708007903, 0.10391086906961658, -0.30909562883122516, 0.0321205907556064, 0.03802505591610337] |
710.3905 | The (ir)Relevance of Initial Conditions in Soft Leptogenesis | We explore how the initial conditions affect the final lepton asymmetry in
Soft Leptogenesis. It has been usually assumed that the initial state is a
statistical mixture of sterile sneutrinos and anti-sneutrinos with equal
abundances. We calculate the lepton asymmetry due to the most general initial
mixture. The usually assumed equal mixture produces a small, but sufficient,
lepton asymmetry which is proportional to the ratio of the supersymmetry
breaking scale over the Majorana scale. A more generic mixture, still with
equal contents of sneutrinos and anti sneutrinos, yields an unsuppressed lepton
asymmetry. Mixtures of non equal contents of sneutrinos and anti sneutrinos
result in a large lepton asymmetry too. While these results establish the
robustness of Soft Leptogenesis and other mixing based mechanisms, they also
expose their lack of predictive power.
| hep-ph | we explore how the initial conditions affect the final lepton asymmetry in soft leptogenesis it has been usually assumed that the initial state is a statistical mixture of sterile sneutrinos and antisneutrinos with equal abundances we calculate the lepton asymmetry due to the most general initial mixture the usually assumed equal mixture produces a small but sufficient lepton asymmetry which is proportional to the ratio of the supersymmetry breaking scale over the majorana scale a more generic mixture still with equal contents of sneutrinos and anti sneutrinos yields an unsuppressed lepton asymmetry mixtures of non equal contents of sneutrinos and anti sneutrinos result in a large lepton asymmetry too while these results establish the robustness of soft leptogenesis and other mixing based mechanisms they also expose their lack of predictive power | [['we', 'explore', 'how', 'the', 'initial', 'conditions', 'affect', 'the', 'final', 'lepton', 'asymmetry', 'in', 'soft', 'leptogenesis', 'it', 'has', 'been', 'usually', 'assumed', 'that', 'the', 'initial', 'state', 'is', 'a', 'statistical', 'mixture', 'of', 'sterile', 'sneutrinos', 'and', 'antisneutrinos', 'with', 'equal', 'abundances', 'we', 'calculate', 'the', 'lepton', 'asymmetry', 'due', 'to', 'the', 'most', 'general', 'initial', 'mixture', 'the', 'usually', 'assumed', 'equal', 'mixture', 'produces', 'a', 'small', 'but', 'sufficient', 'lepton', 'asymmetry', 'which', 'is', 'proportional', 'to', 'the', 'ratio', 'of', 'the', 'supersymmetry', 'breaking', 'scale', 'over', 'the', 'majorana', 'scale', 'a', 'more', 'generic', 'mixture', 'still', 'with', 'equal', 'contents', 'of', 'sneutrinos', 'and', 'anti', 'sneutrinos', 'yields', 'an', 'unsuppressed', 'lepton', 'asymmetry', 'mixtures', 'of', 'non', 'equal', 'contents', 'of', 'sneutrinos', 'and', 'anti', 'sneutrinos', 'result', 'in', 'a', 'large', 'lepton', 'asymmetry', 'too', 'while', 'these', 'results', 'establish', 'the', 'robustness', 'of', 'soft', 'leptogenesis', 'and', 'other', 'mixing', 'based', 'mechanisms', 'they', 'also', 'expose', 'their', 'lack', 'of', 'predictive', 'power']] | [-0.088709416162545, 0.29607493741216157, -0.0685908348657764, 0.18795712053811608, -0.06468206396004042, -0.2076282649193532, 0.030363573184093603, 0.2914948730299679, -0.20770512036710548, -0.30456479837079176, 0.043859732887694215, -0.26252560653508855, 0.003008104205274811, 0.03391561708771265, -0.01711938547400328, 0.0513377643091819, 0.03630702988996815, -0.022598613898914596, -0.05395506512857257, -0.2554605948738754, 0.3018148976807984, 0.06855023324606009, 0.30599406075019103, 0.058136763097718355, 0.0634146934769188, -0.0651926554309634, -0.050458556153954795, -0.08895509913563729, -0.06286504123065523, 0.0491777425905009, 0.18483603172577345, 0.08900932674475301, 0.10825792104005813, -0.4217972137607061, -0.12249871638621418, 0.2494332718376357, 0.17458526849782524, 0.09452669657856369, -0.07825058633696665, -0.27040255882132513, 0.09872573004462398, -0.242676527500869, -0.10495198103241049, -0.08226251132929555, 0.0009234293220708004, -0.08718882627256859, -0.3550050537746686, 0.1320747723639495, 0.012354201631835447, -0.02086758936683719, -0.013718695702174535, -0.19442533867415757, -0.07629522868396285, 0.02109527622636121, 0.2139666550506193, -0.08376931548834993, 0.15356510248250113, -0.17790934012020723, -0.07725637205518208, 0.4167177740229258, -0.06832545946817845, -0.22443880906615118, 0.18764689347097793, -0.15014472948387264, -0.12246630015568091, 0.12375179577009895, 0.1659052597430463, 0.10254546815457825, -0.12695814106040276, 0.11362322744591018, -0.06628848732664035, 0.1929125539600276, 0.08146664490923286, 0.04472525876436311, 0.2927130089356349, 0.16575686045062657, 0.09341024288173336, 0.07125467295050979, -0.05454043116993629, -0.06925720331760553, -0.3695559875108302, -0.11100214626998282, -0.1226109306820525, 0.07220079945400357, -0.08084611094583614, -0.13809281853385844, 0.4147368949623062, 0.11946755566347678, 0.2755219394269471, 0.007478541437572298, 0.3144458577126408, 0.07264455978248197, 0.05308536449984576, 0.028701817138622014, 0.2634290885180235, 0.15805124569540988, 0.1261803276380166, -0.2527949815723472, 0.1301167877426801, 0.0020504565443843605] |
710.3906 | A Parameter Study of the Dust and Gas Temperature in a Field of Young
Stars | We model the thermal effect of young stars on their surrounding environment
in order to understand clustered star formation. We take radiative heating of
dust, dust-gas collisional heating, cosmic-ray heating, and molecular cooling
into account. Using Dusty, a spherical continuum radiative transfer code, we
model the dust temperature distribution around young stellar objects with
various luminosities and surrounding gas and dust density distributions. We
have created a grid of dust temperature models, based on our modeling with
Dusty, which we can use to calculate the dust temperature in a field of stars
with various parameters. We then determine the gas temperature assuming energy
balance. Our models can be used to make large-scale simulations of clustered
star formation more realistic.
| astro-ph | we model the thermal effect of young stars on their surrounding environment in order to understand clustered star formation we take radiative heating of dust dustgas collisional heating cosmicray heating and molecular cooling into account using dusty a spherical continuum radiative transfer code we model the dust temperature distribution around young stellar objects with various luminosities and surrounding gas and dust density distributions we have created a grid of dust temperature models based on our modeling with dusty which we can use to calculate the dust temperature in a field of stars with various parameters we then determine the gas temperature assuming energy balance our models can be used to make largescale simulations of clustered star formation more realistic | [['we', 'model', 'the', 'thermal', 'effect', 'of', 'young', 'stars', 'on', 'their', 'surrounding', 'environment', 'in', 'order', 'to', 'understand', 'clustered', 'star', 'formation', 'we', 'take', 'radiative', 'heating', 'of', 'dust', 'dustgas', 'collisional', 'heating', 'cosmicray', 'heating', 'and', 'molecular', 'cooling', 'into', 'account', 'using', 'dusty', 'a', 'spherical', 'continuum', 'radiative', 'transfer', 'code', 'we', 'model', 'the', 'dust', 'temperature', 'distribution', 'around', 'young', 'stellar', 'objects', 'with', 'various', 'luminosities', 'and', 'surrounding', 'gas', 'and', 'dust', 'density', 'distributions', 'we', 'have', 'created', 'a', 'grid', 'of', 'dust', 'temperature', 'models', 'based', 'on', 'our', 'modeling', 'with', 'dusty', 'which', 'we', 'can', 'use', 'to', 'calculate', 'the', 'dust', 'temperature', 'in', 'a', 'field', 'of', 'stars', 'with', 'various', 'parameters', 'we', 'then', 'determine', 'the', 'gas', 'temperature', 'assuming', 'energy', 'balance', 'our', 'models', 'can', 'be', 'used', 'to', 'make', 'largescale', 'simulations', 'of', 'clustered', 'star', 'formation', 'more', 'realistic']] | [-0.005464265946721455, 0.149004961747457, -0.08393629344704584, 0.11357366231743622, -0.06146670478795256, -0.022104175436553082, 0.01770783189151968, 0.46028060275090843, -0.17743907265459039, -0.3586145164914617, 0.01844955881188835, -0.2317590231712743, 0.017387788601908365, 0.15157490400372448, 0.010852681049791422, -0.019411183421905034, 0.017257348665607578, -0.13174614030280846, -0.018985709296774213, -0.22920256904756822, 0.3421275771356055, 0.14265414925307787, 0.13302605452618615, 0.04571182995314608, 0.0356238792110391, -0.1369192104281842, -0.07597542033890779, -0.012641528292613871, -0.20358827455016246, 0.040607466505245625, 0.15731160724693333, 0.08755281086846747, 0.1893255648813641, -0.47805396141875695, -0.3247438838564548, 0.10101912169865951, 0.15585469014300896, 0.09827123842683441, -0.07835359212479207, -0.19760720758941494, 0.009825413839249801, -0.23789506584812864, -0.14927908374356622, 0.004872130552901565, 0.0025197699002749404, 0.03603078455257253, -0.30052535586497364, 0.09739590596853748, 0.031497937224085344, 0.06499338297157728, -0.14599898700531916, -0.09366104779999797, -0.10686138173283524, 0.0889199116187045, -0.02579176488543759, 0.00495485305206991, 0.28787011998909046, -0.13542820456899515, 0.02176894970285166, 0.43424794184310095, -0.0954303306188951, -0.10205537983912881, 0.2810819525948624, -0.21172105568703734, -0.12059029077469301, 0.1688456913268491, 0.2388604777481626, 0.1205664014115053, -0.17410502541309394, -0.0447944542486025, -0.026059112886256466, 0.18089804127460204, 0.022467827676803248, 0.02081363394801669, 0.384420917032897, 0.17309115669776162, -0.07339670662102955, 0.1651371585179762, -0.20193788941958532, -0.0999581924827472, -0.186143577443201, -0.09040772618271974, -0.11668146682997085, 0.10297878516618819, -0.14997447037469191, -0.1452524118172396, 0.2971890776598153, 0.20417754240373165, 0.19123311578922225, 0.025342309731058776, 0.33200121201386973, 0.10039093067376491, 0.0810256401534748, 0.19280250674551902, 0.21712381664679206, 0.1998618607362341, 0.0757211374212839, -0.3106901784302244, 0.06318437018110848, 0.009835165551620997] |
710.3907 | Impacts of preference and geography on epidemic spreading | We investigate the standard susceptible-infected-susceptible model on a
random network to study the effects of preference and geography on diseases
spreading. The network grows by introducing one random node with $m$ links on a
Euclidean space at unit time. The probability of a new node $i$ linking to a
node $j$ with degree $k_j$ at distance $d_{ij}$ from node $i$ is proportional
to $k_{j}^{A}/d_{ij}^{B}$, where $A$ and $B$ are positive constants governing
preferential attachment and the cost of the node-node distance. In the case of
A=0, we recover the usual epidemic behavior with a critical threshold below
which diseases eventually die out. Whereas for B=0, the critical behavior is
absent only in the condition A=1. While both ingredients are proposed
simultaneously, the network becomes robust to infection for larger $A$ and
smaller $B$.
| physics.soc-ph | we investigate the standard susceptibleinfectedsusceptible model on a random network to study the effects of preference and geography on diseases spreading the network grows by introducing one random node with m links on a euclidean space at unit time the probability of a new node i linking to a node j with degree k_j at distance d_ij from node i is proportional to k_jad_ijb where a and b are positive constants governing preferential attachment and the cost of the nodenode distance in the case of a0 we recover the usual epidemic behavior with a critical threshold below which diseases eventually die out whereas for b0 the critical behavior is absent only in the condition a1 while both ingredients are proposed simultaneously the network becomes robust to infection for larger a and smaller b | [['we', 'investigate', 'the', 'standard', 'susceptibleinfectedsusceptible', 'model', 'on', 'a', 'random', 'network', 'to', 'study', 'the', 'effects', 'of', 'preference', 'and', 'geography', 'on', 'diseases', 'spreading', 'the', 'network', 'grows', 'by', 'introducing', 'one', 'random', 'node', 'with', 'm', 'links', 'on', 'a', 'euclidean', 'space', 'at', 'unit', 'time', 'the', 'probability', 'of', 'a', 'new', 'node', 'i', 'linking', 'to', 'a', 'node', 'j', 'with', 'degree', 'k_j', 'at', 'distance', 'd_ij', 'from', 'node', 'i', 'is', 'proportional', 'to', 'k_jad_ijb', 'where', 'a', 'and', 'b', 'are', 'positive', 'constants', 'governing', 'preferential', 'attachment', 'and', 'the', 'cost', 'of', 'the', 'nodenode', 'distance', 'in', 'the', 'case', 'of', 'a0', 'we', 'recover', 'the', 'usual', 'epidemic', 'behavior', 'with', 'a', 'critical', 'threshold', 'below', 'which', 'diseases', 'eventually', 'die', 'out', 'whereas', 'for', 'b0', 'the', 'critical', 'behavior', 'is', 'absent', 'only', 'in', 'the', 'condition', 'a1', 'while', 'both', 'ingredients', 'are', 'proposed', 'simultaneously', 'the', 'network', 'becomes', 'robust', 'to', 'infection', 'for', 'larger', 'a', 'and', 'smaller', 'b']] | [-0.14736999773109952, 0.12978716440160165, -0.0026043641811349626, 0.04316828841745684, -0.05605252571474535, -0.24016781692802341, 0.12175929575283645, 0.32219017652625387, -0.2688638327967827, -0.2136119152286979, 0.07872869135198099, -0.34290182006996917, -0.16033084241842682, 0.09047547740523111, -0.027288265308456947, 0.003470362135858247, 0.028249290605978757, 0.10617739757149, 0.011774675730548828, -0.2320476414734554, 0.33719213086861244, 0.054424935348585925, 0.24810980976172053, 0.042416477307790156, 0.08553370685937504, 0.02955979536901313, -0.005642273011758472, 0.037050147668527315, -0.17551295680371395, 0.06415045370742904, 0.19393209120166968, 0.10855300224978816, 0.3102594589193662, -0.3783929597473506, -0.21286924737135202, 0.13384800030722876, 0.12148203165623161, 0.09143565743226756, 0.06321510900108313, -0.2577671611939105, 0.11032459782930373, -0.12785756567444134, -0.1180655108517826, 0.02667071385781817, 0.06382366858958972, 0.03026760071048612, -0.30875555017370393, 0.08662347817285494, 0.025737958880861035, 0.0571879976284408, -0.0009104941378940235, -0.13089097139538464, -0.05374397784400957, 0.1441555259657572, 0.04064801637220874, 0.07374708442049185, 0.13410317134747113, -0.12315118079299503, -0.08307954389601946, 0.3751968824812634, -0.038958886031512964, -0.19832086941989308, 0.16887176788771863, -0.15555442111552553, -0.11347077483184297, 0.11058931870767, 0.1991821817549256, 0.07746170014213545, -0.11660780657830676, 0.03851759717200008, 0.0020526446486738596, 0.11883957820166623, 0.06074758775701577, -0.014022022462802741, 0.1484553919766437, 0.17237518302334304, 0.11947384150698781, 0.09774214065118665, -0.10335059738413706, -0.12934562149034304, -0.2891718536460151, -0.13880058489810448, -0.1916812065826503, 0.06675332438669901, -0.15120460966444985, -0.14267503310728705, 0.40017205945729406, 0.10018527903594077, 0.25433474551942764, 0.12231029631573509, 0.24048753872259773, 0.07125591655318259, 0.07658956651170173, 0.11131771533242003, 0.1664536239254768, 0.0932081792306042, 0.09244921037426332, -0.20455879379049735, 0.14110359764361585, 0.06274541010740602] |
710.3908 | Lie Rinehart Bialgebras for Crossed Products | In this paper, we study Lie Rinehart bialgebras, the algebraic generalization
of Lie bialgebroids. More precisely, we analyze the structure of Lie Rinehart
bialgebras for crossed products induced by actions of Lie algebras on K[t].
| math.AC math.RA | in this paper we study lie rinehart bialgebras the algebraic generalization of lie bialgebroids more precisely we analyze the structure of lie rinehart bialgebras for crossed products induced by actions of lie algebras on kt | [['in', 'this', 'paper', 'we', 'study', 'lie', 'rinehart', 'bialgebras', 'the', 'algebraic', 'generalization', 'of', 'lie', 'bialgebroids', 'more', 'precisely', 'we', 'analyze', 'the', 'structure', 'of', 'lie', 'rinehart', 'bialgebras', 'for', 'crossed', 'products', 'induced', 'by', 'actions', 'of', 'lie', 'algebras', 'on', 'kt']] | [-0.23116947985586844, 0.04764209889939853, -0.026253309500004565, 0.12758130887190677, -0.22816175658788, -0.07780543214508466, -0.005189154852580811, 0.459477345432554, -0.37391135351998467, -0.1681656437260764, 0.09917685701844416, -0.16795343181916644, -0.23304839538676397, 0.18395957499742507, -0.19410756714642047, -0.18100368146385465, 0.0634728574060968, 0.17747382605448364, -0.17871580767844406, -0.25115738036776225, 0.5426560708188585, 0.022508537576400808, 0.16645132633192197, -0.0466987119987607, 0.12024322571232915, 0.04578194084710308, -0.016070510327283825, -0.008890276242579733, -0.2158415197261742, 0.14811338093131782, 0.3566892009228468, -0.03463748694796647, 0.1386270918550768, -0.33461304775306155, -0.016715488582849502, 0.14135732531015363, 0.1303892180323601, -0.03344655052226569, 0.006183823358982668, -0.37329046023743495, 0.08472346046141216, -0.32740214999232975, -0.07964976434263267, -0.08120945000222751, 0.03070367079760347, -0.03984525443853012, -0.13617567608432313, 0.01055115070194006, 0.14455808297331843, 0.19563216596517513, -0.1119490754657558, -0.04350769011237259, -0.052230744063854216, 0.03726699541189841, -0.1506398360644068, -0.0995604664819049, 0.19301919705633605, -0.0719684128982148, -0.24853558859654834, 0.4001737895820822, 0.017548373873744694, -0.18365916290453502, 0.10905774315553052, -0.23373349847804223, -0.23689499891230037, 0.07680248410574027, 0.07519045727593558, 0.1778804329356977, -0.11372199750538649, 0.22294880266168288, -0.12759048683302743, -0.14566448384097644, 0.16330568244946855, -0.02885735942316907, 0.09664934266890798, 0.15031503896628107, 0.06146025165383305, 0.1335640233542238, 0.12690124189082, 0.003951922112277576, -0.3443119934626988, -0.19951266645054733, 0.041980850377253125, 0.206645465908306, -0.08155002607298749, -0.1429514386824199, 0.43504666090011596, 0.16207651240485055, 0.1574013318334307, 0.0951271980468716, 0.15823376583201545, 0.0485691800447447, 0.15861903955893858, 0.013781649166984218, 0.13209484011999198, 0.42959413446619044, -0.02088137853092381, -0.08091412133736801, -0.1661457875078278, 0.23493431889052901] |
710.3909 | On the Existence of Global Bisections of Lie Groupoids | We show that every source connected Lie groupoid always has global bisections
through any given point. This bisection can be chosen to be the multiplication
of some exponentials as close as possible to a prescribed curve. The existence
of bisections through more than one prescribed points is also discussed. We
give some interesting applications of these results.
| math.DG | we show that every source connected lie groupoid always has global bisections through any given point this bisection can be chosen to be the multiplication of some exponentials as close as possible to a prescribed curve the existence of bisections through more than one prescribed points is also discussed we give some interesting applications of these results | [['we', 'show', 'that', 'every', 'source', 'connected', 'lie', 'groupoid', 'always', 'has', 'global', 'bisections', 'through', 'any', 'given', 'point', 'this', 'bisection', 'can', 'be', 'chosen', 'to', 'be', 'the', 'multiplication', 'of', 'some', 'exponentials', 'as', 'close', 'as', 'possible', 'to', 'a', 'prescribed', 'curve', 'the', 'existence', 'of', 'bisections', 'through', 'more', 'than', 'one', 'prescribed', 'points', 'is', 'also', 'discussed', 'we', 'give', 'some', 'interesting', 'applications', 'of', 'these', 'results']] | [-0.16769303566686353, 0.0653416642657759, -0.10313675242165725, 0.06760170715942718, -0.13357564114164888, -0.16615388739298573, 0.05990361445583403, 0.4211975710237758, -0.31371444401641685, -0.2087854588436976, 0.17134154560207798, -0.2506665276777583, -0.18620405365761958, 0.2619847490272501, -0.11880171921496328, 0.0005271362238808683, 0.08981333173027164, 0.1345993669442179, -0.09803180631531991, -0.2691400629844059, 0.3311411062941739, 0.005644046799524834, 0.1370798218423468, 0.06294882487048183, 0.08488525425721156, -0.03547194368908541, 0.0378406943197836, 0.03722721199390658, -0.13368940590781245, 0.08375773057668355, 0.2838241679005717, 0.14433282460167743, 0.2450218920089435, -0.38530238623589913, -0.18688299676011266, 0.2029968112576426, 0.1486391999448339, 0.038475396569099346, -0.06574819032271319, -0.2495348207456501, 0.17910008022986484, -0.11947613046096082, -0.19361214596255308, -0.0916957586774962, 0.012967095293692853, 0.04332888957211062, -0.19174386949784922, -0.05009087901041647, 0.06604877950852378, 0.04806458031791344, -0.033650922245885194, -0.10387987248076681, -0.05675429443158863, 0.12080289301740234, 0.019298196594606628, 0.05886732239537595, 0.11329574257915578, -0.04899202855385579, -0.1438457639724539, 0.4135814944625293, -0.031692698725811694, -0.2333054973237347, 0.15435577371860282, -0.1429208596155309, -0.14055182742314382, 0.13059137023887352, 0.09418143403079164, 0.12633512928885848, -0.09173796012213356, 0.06949763689516929, -0.1445422239372866, 0.0966291546667395, 0.11818714863048833, -0.006720076045511584, 0.17759452430171924, 0.1291010770946741, 0.16774094435631445, 0.14032063768817143, 0.004218378462706153, -0.038228376344736796, -0.398391567039908, -0.14822005977233252, -0.17066684027055376, 0.11849107885765925, -0.1483221876091863, -0.17478145600149506, 0.41048063357409675, 0.14165092007208027, 0.25906364685087874, 0.04398782744905666, 0.23573522165156247, 0.15881476689767288, 0.07993621189604726, 0.12927449623678336, 0.17481291993917375, 0.12622419846440225, -0.024747283116244433, -0.11083408076675576, 0.029350303154308022, 0.1016183644247225] |
710.391 | On the photoionization of the outer electrons in noble gas endohedral
atoms | We demonstrate the prominent modification of the outer shell photoionization
cross-section in noble gas (NG) endohedral atoms NG@F under the action of the
fullerene F electron shell. This shell leads to two important effects, namely
to strong enhancement of the cross-section due to fullerenes shell polarization
under the action of the incoming electromagnetic wave and to prominent
oscillation of this cross-section due to the reflection of the photoelectron
from NG by the F shell.
All but He noble gas atoms are considered. The polarization of the fullerene
shell is expressed via the total photoabsorption cross-section of F. The
reflection of the photoelectron is taken into account in the frame of the
so-called bubble potential that is a spherical zero --thickness potential.
It is assumed in the derivations that NG is centrally located in the
fullerene. It is assumed also, in accord with the existing experimental data,
that the fullerenes radius R is much bigger than the atomic radius and the
thickness of the fullerenes shell . These assumptions permit, as it was
demonstrated recently, to present the NG@F photoionization cross-section as a
product of the NG cross-section and two well defined calculated factors.
| physics.atm-clus physics.atom-ph | we demonstrate the prominent modification of the outer shell photoionization crosssection in noble gas ng endohedral atoms ngf under the action of the fullerene f electron shell this shell leads to two important effects namely to strong enhancement of the crosssection due to fullerenes shell polarization under the action of the incoming electromagnetic wave and to prominent oscillation of this crosssection due to the reflection of the photoelectron from ng by the f shell all but he noble gas atoms are considered the polarization of the fullerene shell is expressed via the total photoabsorption crosssection of f the reflection of the photoelectron is taken into account in the frame of the socalled bubble potential that is a spherical zero thickness potential it is assumed in the derivations that ng is centrally located in the fullerene it is assumed also in accord with the existing experimental data that the fullerenes radius r is much bigger than the atomic radius and the thickness of the fullerenes shell these assumptions permit as it was demonstrated recently to present the ngf photoionization crosssection as a product of the ng crosssection and two well defined calculated factors | [['we', 'demonstrate', 'the', 'prominent', 'modification', 'of', 'the', 'outer', 'shell', 'photoionization', 'crosssection', 'in', 'noble', 'gas', 'ng', 'endohedral', 'atoms', 'ngf', 'under', 'the', 'action', 'of', 'the', 'fullerene', 'f', 'electron', 'shell', 'this', 'shell', 'leads', 'to', 'two', 'important', 'effects', 'namely', 'to', 'strong', 'enhancement', 'of', 'the', 'crosssection', 'due', 'to', 'fullerenes', 'shell', 'polarization', 'under', 'the', 'action', 'of', 'the', 'incoming', 'electromagnetic', 'wave', 'and', 'to', 'prominent', 'oscillation', 'of', 'this', 'crosssection', 'due', 'to', 'the', 'reflection', 'of', 'the', 'photoelectron', 'from', 'ng', 'by', 'the', 'f', 'shell', 'all', 'but', 'he', 'noble', 'gas', 'atoms', 'are', 'considered', 'the', 'polarization', 'of', 'the', 'fullerene', 'shell', 'is', 'expressed', 'via', 'the', 'total', 'photoabsorption', 'crosssection', 'of', 'f', 'the', 'reflection', 'of', 'the', 'photoelectron', 'is', 'taken', 'into', 'account', 'in', 'the', 'frame', 'of', 'the', 'socalled', 'bubble', 'potential', 'that', 'is', 'a', 'spherical', 'zero', 'thickness', 'potential', 'it', 'is', 'assumed', 'in', 'the', 'derivations', 'that', 'ng', 'is', 'centrally', 'located', 'in', 'the', 'fullerene', 'it', 'is', 'assumed', 'also', 'in', 'accord', 'with', 'the', 'existing', 'experimental', 'data', 'that', 'the', 'fullerenes', 'radius', 'r', 'is', 'much', 'bigger', 'than', 'the', 'atomic', 'radius', 'and', 'the', 'thickness', 'of', 'the', 'fullerenes', 'shell', 'these', 'assumptions', 'permit', 'as', 'it', 'was', 'demonstrated', 'recently', 'to', 'present', 'the', 'ngf', 'photoionization', 'crosssection', 'as', 'a', 'product', 'of', 'the', 'ng', 'crosssection', 'and', 'two', 'well', 'defined', 'calculated', 'factors']] | [-0.08011042731898972, 0.1149159094687396, -0.03896727025949076, 0.056270731926512475, -0.003127941393662089, -0.07188555261139602, -9.85953192866873e-06, 0.39760006007660803, -0.20543137592297475, -0.2816769127772811, -0.002258983077505642, -0.29270703202928416, -0.057852425878081704, 0.12911929767384814, 0.02302766626447313, 0.007944701028463896, 0.02990962108772995, 0.03929081195019535, -0.014096750665582173, -0.21336228549989755, 0.3074072520515377, 0.12315846924805858, 0.233135494418093, 0.13360229686986713, 0.02619077324864823, 0.0063148599898947095, 0.00934642662468832, 0.021843042501132004, -0.1199412084818429, 0.13109711529978085, 0.19410677779766652, 0.0547850341257193, 0.18131751615631705, -0.46514467815237975, -0.18477467439273218, 0.04094086186523782, 0.1395925158291599, 0.0930021006934112, -0.03890955388002718, -0.2662023014733374, 0.0035748547500891923, -0.19304944597630916, -0.1653667388333512, 0.013832907789037563, 0.09688672688207589, 0.011055381090651887, -0.23000873557854598, 0.07527633960959672, 0.06538141164067686, -0.009195862352498807, -0.07138635834780871, -0.15723262328780643, -0.09330327968564234, 0.03527307968761306, 0.08040987385053693, -0.004304165948269656, 0.2119434280987965, -0.08485745057744983, -0.013297336052346509, 0.45662749994759605, -0.073145489587129, -0.11688028089217066, 0.1514757411496248, -0.21081301117616627, -0.037604001957030654, 0.21702791311448286, 0.08526797279531213, 0.10956571392671322, -0.11906527433166048, 0.11579217030915363, -0.06988095209931089, 0.17022833512722477, 0.13931341538894534, 0.025594586280931253, 0.19173570051134448, 0.1398620522765365, 0.011553049022040796, 0.12719203342082133, -0.13591734035435366, -0.049499773881204114, -0.2986687927429254, -0.15284761791311516, -0.16353502346282767, 0.05967098599974937, -0.0415880335425148, -0.1717747935084238, 0.3357040137295068, 0.04961223387332817, 0.19475296536499323, -0.05739567401201384, 0.2887914500873497, 0.1147795628021413, 0.11430892716452945, 0.03127126352774212, 0.3020242548179037, 0.2066850240541195, 0.026367681498716895, -0.2715340448873273, 0.06421302732390662, 0.011224871569235498] |
710.3911 | Helium stars as supernova progenitors | We follow the evolution of helium stars of initial mass $(2.2 - 2.5)
M_\odot$, and show that they undergo off-center carbon burning, which leaves
behind ${\mathbf \sim 0.01 M_\odot}$ of unburnt carbon in the inner part of the
core. When the carbon-oxygen core grows to Chandrasekhar mass, the amount of
left-over carbon is sufficient to ignite thermonuclear runaway. At the moment
of explosion, the star will possess an envelope of several $0.1 M_{\odot}$,
consisting of He, C, and possibly some H, perhaps producing a kind of peculiar
SN. Based on the results of Waldman and Barkat (2007) for accreting white
dwarfs, we expect to get thermonuclear runaway at a broad range of $\rho_c
\approx (1 - 6) \times 10^9 \mathrm{g cm^{-3}}$, depending on the amount of
residual carbon. We verified the feasibility of this scenario by showing that
in a close binary system with initial masses $(8.5 + 7.7) M_{\odot}$ and
initial period of 150 day the primary produces a helium remnant of $2.3
M_{\odot}$ that evolves further like the model we considered.
| astro-ph | we follow the evolution of helium stars of initial mass 22 25 m_odot and show that they undergo offcenter carbon burning which leaves behind mathbf sim 001 m_odot of unburnt carbon in the inner part of the core when the carbonoxygen core grows to chandrasekhar mass the amount of leftover carbon is sufficient to ignite thermonuclear runaway at the moment of explosion the star will possess an envelope of several 01 m_odot consisting of he c and possibly some h perhaps producing a kind of peculiar sn based on the results of waldman and barkat 2007 for accreting white dwarfs we expect to get thermonuclear runaway at a broad range of rho_c approx 1 6 times 109 mathrmg cm3 depending on the amount of residual carbon we verified the feasibility of this scenario by showing that in a close binary system with initial masses 85 77 m_odot and initial period of 150 day the primary produces a helium remnant of 23 m_odot that evolves further like the model we considered | [['we', 'follow', 'the', 'evolution', 'of', 'helium', 'stars', 'of', 'initial', 'mass', '22', '25', 'm_odot', 'and', 'show', 'that', 'they', 'undergo', 'offcenter', 'carbon', 'burning', 'which', 'leaves', 'behind', 'mathbf', 'sim', '001', 'm_odot', 'of', 'unburnt', 'carbon', 'in', 'the', 'inner', 'part', 'of', 'the', 'core', 'when', 'the', 'carbonoxygen', 'core', 'grows', 'to', 'chandrasekhar', 'mass', 'the', 'amount', 'of', 'leftover', 'carbon', 'is', 'sufficient', 'to', 'ignite', 'thermonuclear', 'runaway', 'at', 'the', 'moment', 'of', 'explosion', 'the', 'star', 'will', 'possess', 'an', 'envelope', 'of', 'several', '01', 'm_odot', 'consisting', 'of', 'he', 'c', 'and', 'possibly', 'some', 'h', 'perhaps', 'producing', 'a', 'kind', 'of', 'peculiar', 'sn', 'based', 'on', 'the', 'results', 'of', 'waldman', 'and', 'barkat', '2007', 'for', 'accreting', 'white', 'dwarfs', 'we', 'expect', 'to', 'get', 'thermonuclear', 'runaway', 'at', 'a', 'broad', 'range', 'of', 'rho_c', 'approx', '1', '6', 'times', '109', 'mathrmg', 'cm3', 'depending', 'on', 'the', 'amount', 'of', 'residual', 'carbon', 'we', 'verified', 'the', 'feasibility', 'of', 'this', 'scenario', 'by', 'showing', 'that', 'in', 'a', 'close', 'binary', 'system', 'with', 'initial', 'masses', '85', '77', 'm_odot', 'and', 'initial', 'period', 'of', '150', 'day', 'the', 'primary', 'produces', 'a', 'helium', 'remnant', 'of', '23', 'm_odot', 'that', 'evolves', 'further', 'like', 'the', 'model', 'we', 'considered']] | [-0.09336884588811867, 0.20146826401529572, -0.0008653314431478991, 0.044029843194937864, -0.020704579401827423, -0.08104680790207706, 0.10097282569884383, 0.36202137523810185, -0.1608486408657069, -0.3608847100993056, 0.08492740547351992, -0.2913771356075738, 0.027668022939152794, 0.18510869373953157, -0.05591227801119875, -0.058244539920747636, 0.1488608422044378, 0.012373799911063693, -0.12386522069366748, -0.2827000343295905, 0.31300508915915115, 0.043074527419221825, 0.1388989818012397, 0.013342138341236749, 0.05699640087791603, -0.12919784807214327, 0.03237770345064084, -0.11215097430908154, -0.176970071549837, -0.0050289441704661885, 0.1592447647078172, 0.1500947826800967, 0.23751111677434494, -0.39624548492920114, -0.19053046305019122, 0.06528927686695869, 0.17089364384218345, 0.04171119776028126, -0.09492041168530532, -0.20454780233420497, 0.12656324833959406, -0.2644446221402069, -0.1852114822442737, 0.09764719903937502, 0.09823408639113579, 0.03963856311988901, -0.2563242550633473, 0.1483993076205463, 0.0918140969095895, 0.006843745583095229, -0.11006883134481293, -0.15321002832680014, -0.09709129297896427, 0.01334053636118687, 0.0263355351335606, 0.05730240319210749, 0.18462999247168824, -0.08047445898478818, 0.07608515802996796, 0.4082966916922331, -0.09851455852284631, 0.034845361165762964, 0.22166302035970492, -0.17877716102400387, -0.1570487877095019, 0.19589077240026959, 0.14556432099990166, 0.12439761522705474, -0.1252904810723828, -0.0504519781717733, -0.006829727079427234, 0.21014906615280607, 0.09918795052100216, 0.0031785891520840354, 0.3336844007049263, 0.1892634479827716, 0.0021760369769501437, 0.050269417179550024, -0.194675709779468, -0.03691437788935896, -0.2427169433767362, -0.12839206109875978, -0.12519706791189647, 0.17715546044041597, -0.12119672595924208, -0.12900785540544688, 0.29984041938789674, 0.10789176213008092, 0.24216496298288012, 0.0001701003494369384, 0.19762067258159613, 0.07393897156687122, 0.05531824503919542, 0.12052518072587674, 0.2774867491706029, 0.22188883717722926, 0.10803063631542688, -0.22155835691249803, 0.04514250782808873, 0.005115641878928835] |
710.3912 | The sectional curvature remains positive when taking quotients by
certain nonfree actions | We study some cases when the sectional curvature remains positive under the
taking of quotients by certain nonfree isometric actions of Lie groups. We
consider the actions of the groups $S^1$ and $S^3$ such that the quotient space
can be endowed with a smooth structure using the fibrations
$S^3/S^1{\simeq}S^2$ and $S^7/S^3\simeq S^4$. We prove that the quotient space
carries a metric of positive sectional curvature, provided that the original
metric has positive sectional curvature on all 2-planes orthogonal to the
orbits of the action.
| math.DG | we study some cases when the sectional curvature remains positive under the taking of quotients by certain nonfree isometric actions of lie groups we consider the actions of the groups s1 and s3 such that the quotient space can be endowed with a smooth structure using the fibrations s3s1simeqs2 and s7s3simeq s4 we prove that the quotient space carries a metric of positive sectional curvature provided that the original metric has positive sectional curvature on all 2planes orthogonal to the orbits of the action | [['we', 'study', 'some', 'cases', 'when', 'the', 'sectional', 'curvature', 'remains', 'positive', 'under', 'the', 'taking', 'of', 'quotients', 'by', 'certain', 'nonfree', 'isometric', 'actions', 'of', 'lie', 'groups', 'we', 'consider', 'the', 'actions', 'of', 'the', 'groups', 's1', 'and', 's3', 'such', 'that', 'the', 'quotient', 'space', 'can', 'be', 'endowed', 'with', 'a', 'smooth', 'structure', 'using', 'the', 'fibrations', 's3s1simeqs2', 'and', 's7s3simeq', 's4', 'we', 'prove', 'that', 'the', 'quotient', 'space', 'carries', 'a', 'metric', 'of', 'positive', 'sectional', 'curvature', 'provided', 'that', 'the', 'original', 'metric', 'has', 'positive', 'sectional', 'curvature', 'on', 'all', '2planes', 'orthogonal', 'to', 'the', 'orbits', 'of', 'the', 'action']] | [-0.24606501298570416, 0.09388613677583635, -0.08133083694364603, 0.06564574481964838, -0.1172948597033122, -0.12345417437893225, -0.05243729023126567, 0.4209904049227877, -0.2706518414133603, -0.16260830718433347, 0.15760968498624406, -0.2969218223787299, -0.16534421389082038, 0.15765649996834194, -0.15684550492910715, -0.03870590769390508, 0.04997942370089998, 0.17562972473281593, -0.11185523618591904, -0.3086575913220281, 0.4980463168935896, -0.031635820621442864, 0.19753169113906419, 0.0904681281173863, 0.19617848007417307, -0.027205601592957065, 0.019549610678151978, 0.07850091472615842, -0.17460219203570798, 0.11950800323677135, 0.2098520640539369, 0.09207147694045179, 0.19217797681666549, -0.34851217397102496, -0.2280479937780467, 0.22932638081426665, 0.09210503131162556, -0.03541085503359393, -0.01569819584256038, -0.3527666937060109, 0.10665755705601286, -0.10447792704330712, -0.12213432783879931, -0.10618271171001763, 0.018067931211212786, -0.038292023174396554, -0.15115079752569904, -0.016922638410838638, 0.1002060731378861, 0.07612274500836687, -0.15722244491846096, -0.0908262003383531, -0.11162411342034252, 0.1472437834447369, 0.09605265459153665, 0.031090602873563314, 0.12343638515236174, -0.03981991699987614, -0.08310920651718157, 0.38797052100119067, -0.12510699687366625, -0.3189068353939347, 0.07714163195114673, -0.19399170258945628, -0.1273501279718447, 0.13722885273987565, 0.12430854999210413, 0.17999366888344834, 0.017899534439138512, 0.21401928880723284, -0.10590744619371324, 0.08015902048522015, 0.12890905496187327, -0.012125926677183044, 0.14482642231486376, 0.05090109097541355, 0.16268178435729636, 0.10986366304540553, -0.003417014504964577, -0.03167419527407463, -0.3766578778215661, -0.21363101078469943, -0.07966998343642732, 0.19666025025497486, -0.16777989391497303, -0.15472017304131352, 0.38652332873288087, -0.0281428790980632, 0.22951685358406748, 0.16611649570759476, 0.24466829199525642, 0.007341215046258961, 0.0676119367204459, 0.10324218083263897, 0.16233315463809625, 0.19472414984583583, -0.05585688396595509, -0.1309429356408101, -0.05145765675754264, 0.15293608598479227] |
710.3913 | Charged fundamental particles in Wesson's IMT | In the framework of the Weyl-Dirac version of Wesson's Induced Matter Theory,
spherically symmetric entities filled with an electrically charged substance
are obtained in the empty 4D space-time, the brane. The substance,
characterized by mass and charge density as well by pressure, is induced by the
5D bulk. The entity is separated from the surrounding vacuum by a boundary
surface, where the metric satisfy the Schwarzschild conditions. Outside one has
the Reissner-Nordstroem metric with M=Q. These entities may be regarded as
classical (non-quantum) fundamental particles serving as constituents of quarks
and leptons.
| gr-qc | in the framework of the weyldirac version of wessons induced matter theory spherically symmetric entities filled with an electrically charged substance are obtained in the empty 4d spacetime the brane the substance characterized by mass and charge density as well by pressure is induced by the 5d bulk the entity is separated from the surrounding vacuum by a boundary surface where the metric satisfy the schwarzschild conditions outside one has the reissnernordstroem metric with mq these entities may be regarded as classical nonquantum fundamental particles serving as constituents of quarks and leptons | [['in', 'the', 'framework', 'of', 'the', 'weyldirac', 'version', 'of', 'wessons', 'induced', 'matter', 'theory', 'spherically', 'symmetric', 'entities', 'filled', 'with', 'an', 'electrically', 'charged', 'substance', 'are', 'obtained', 'in', 'the', 'empty', '4d', 'spacetime', 'the', 'brane', 'the', 'substance', 'characterized', 'by', 'mass', 'and', 'charge', 'density', 'as', 'well', 'by', 'pressure', 'is', 'induced', 'by', 'the', '5d', 'bulk', 'the', 'entity', 'is', 'separated', 'from', 'the', 'surrounding', 'vacuum', 'by', 'a', 'boundary', 'surface', 'where', 'the', 'metric', 'satisfy', 'the', 'schwarzschild', 'conditions', 'outside', 'one', 'has', 'the', 'reissnernordstroem', 'metric', 'with', 'mq', 'these', 'entities', 'may', 'be', 'regarded', 'as', 'classical', 'nonquantum', 'fundamental', 'particles', 'serving', 'as', 'constituents', 'of', 'quarks', 'and', 'leptons']] | [-0.09807355363053553, 0.25258398878166033, -0.028943643930530095, 0.06233028994377136, -0.03510316595376302, -0.1527503633962782, -0.04199744245599267, 0.28319194794470526, -0.20253921404440442, -0.318348115745365, 0.024585796094944944, -0.30846671168894874, -0.060140884595255004, 0.07415462587960064, -0.04454257438445221, -0.00993643724359572, -0.055474721441936235, 0.10143205057829618, -0.06592556580131792, -0.15262838305257584, 0.39910517422401387, 0.04558038850233931, 0.24300282653016242, 0.036129700779185994, 0.09142362213005191, -0.011372307320530324, 0.023813507458923952, 0.0809061311327083, -0.0883460523530274, 0.0444775031773252, 0.22065855668473017, 0.07378025627796254, 0.16912139284566208, -0.45755268232492, -0.23793729862360202, 0.0740601604136274, 0.1092832162115804, 0.08602734535689587, -0.0797965342644602, -0.391102211954801, 0.05830945953493938, -0.1776589984529773, -0.19827591927479143, -0.009208095204287572, -0.025700473844114204, -0.035307147074490786, -0.21168167465973808, 0.12442405532562154, 0.050493021628505594, -0.03187232453416547, -0.12453846288743713, -0.07595752871028431, -0.09998340701492017, 0.08983327982360093, 0.11881131946574897, 0.03907930040377718, 0.1947633672465125, -0.13624398187106557, -0.11640093488740208, 0.42418840700639004, -0.09958328575948658, -0.2616586243409825, 0.14682973677839112, -0.13495357620084417, -0.014742334545387523, 0.103766905852472, 0.09561497218016049, 0.17001166059534348, -0.17189920538752948, 0.18053775818122592, -0.05901670436698781, 0.12434388162585927, 0.14956610415475038, 0.06409360872551231, 0.3495703569471674, 0.1349954009157322, 0.01084075050185556, 0.14513584126024912, -0.0070349940316468155, -0.1263399680471554, -0.3304891072557834, -0.1946108255601164, -0.210141381496847, 0.08385054131402918, -0.14521702440201215, -0.1862830951450514, 0.31200242977913306, 0.010858998529526973, 0.14875450696917655, -0.08474846315853622, 0.2577328253942339, 0.05110344673005823, 0.05174585180255868, 0.10924993733921007, 0.27822126373496797, 0.1563969991124316, 0.11112255285210583, -0.1819181410853913, -0.020075076727864696, 0.13790061337235587] |
710.3914 | Protecting entanglement via the quantum Zeno effect | We study the exact entanglement dynamics of two atoms in a lossy resonator.
Besides discussing the steady-state entanglement, we show that in the strong
coupling regime the system-reservoir correlations induce entanglement revivals
and oscillations and propose a strategy to fight against the deterioration of
the entanglement using the quantum Zeno effect.
| quant-ph | we study the exact entanglement dynamics of two atoms in a lossy resonator besides discussing the steadystate entanglement we show that in the strong coupling regime the systemreservoir correlations induce entanglement revivals and oscillations and propose a strategy to fight against the deterioration of the entanglement using the quantum zeno effect | [['we', 'study', 'the', 'exact', 'entanglement', 'dynamics', 'of', 'two', 'atoms', 'in', 'a', 'lossy', 'resonator', 'besides', 'discussing', 'the', 'steadystate', 'entanglement', 'we', 'show', 'that', 'in', 'the', 'strong', 'coupling', 'regime', 'the', 'systemreservoir', 'correlations', 'induce', 'entanglement', 'revivals', 'and', 'oscillations', 'and', 'propose', 'a', 'strategy', 'to', 'fight', 'against', 'the', 'deterioration', 'of', 'the', 'entanglement', 'using', 'the', 'quantum', 'zeno', 'effect']] | [-0.2307664751458694, 0.2123373505458528, -0.09260035214909151, 0.10752216992242371, 0.0679235229743462, -0.21243143072534426, 0.07667370979199369, 0.3400060369395742, -0.25177286211036, -0.19918613146771402, 0.02327848758603282, -0.2953585149610744, -0.15884835271201297, 0.16843135286049515, -0.0007454671956343102, 0.08408997839718473, 0.07892469798817354, -0.015674661077997264, -0.016629912447659115, -0.20954586988698473, 0.3194819739928432, 0.04327945923147376, 0.35952984897748513, 0.12204760776869222, 0.11070129123753776, -0.004427460360103378, 0.08507230487086025, 0.01584159308934913, -0.14592454506083752, 0.02283587126636549, 0.19606022552733182, 0.061926763869968114, 0.3097838410998092, -0.4591555899264766, -0.2051283728842642, 0.11940043547428121, 0.12237398045174047, 0.28279865317631003, -0.0514551570054655, -0.3683108732962579, -0.08230987164721477, -0.19690697362609938, -0.08853642695455574, -0.11687076975609742, -0.003731953473213841, -0.05699104991485821, -0.2524142670353838, 0.1286630540282703, 0.0966715077303496, 0.05230402533768439, 0.019707563643654186, 0.09695608816200904, 0.03699272741362745, 0.12424370960569849, -0.000454029433575331, -0.0814938548742337, 0.17386122319993436, -0.1378355153525869, -0.1646747381755096, 0.3357756870670938, -0.12967400433605208, -0.14690784784946956, 0.1660636858101569, -0.16761893260420538, -0.04129922891711341, 0.04626426495173398, 0.11624256995342233, 0.04747659556896371, -0.1059026218512479, 0.03027066869396424, 0.030301435467074898, 0.17499663998537204, 0.07488756176248632, 0.20766552670073568, 0.17947488605711318, 0.11004689270082642, 0.05176071229609935, 0.29737923704270347, -0.08621276060447973, -0.16967500680509737, -0.2966105076758301, -0.1544018220407523, -0.20906526041125842, 0.08302786586978518, -0.10561642781135115, -0.1382071816307657, 0.44996243951769144, 0.18511821482987964, 0.1359674963990555, 0.023083842039911772, 0.29011135051647824, 0.10072055400586595, 0.01286313596817005, 0.04545701545316214, 0.32954799157439496, 0.14648586675962982, 0.058807920737593784, -0.45102252730844067, 0.05690408700748401, 0.01846766114855806] |
710.3915 | Inverse spectral results for Schr\"odinger operators on the unit
interval with potentials in L^P spaces | We consider the Schr\"odinger operator on $[0,1]$ with potential in $L^1$. We
prove that two potentials already known on $[a,1]$ ($a\in(0,{1/2}]$) and having
their difference in $L^p$ are equal if the number of their common eigenvalues
is sufficiently large. The result here is to write down explicitly this number
in terms of $p$ (and $a$) showing the role of $p$.
| math.SP | we consider the schrodinger operator on 01 with potential in l1 we prove that two potentials already known on a1 ain012 and having their difference in lp are equal if the number of their common eigenvalues is sufficiently large the result here is to write down explicitly this number in terms of p and a showing the role of p | [['we', 'consider', 'the', 'schrodinger', 'operator', 'on', '01', 'with', 'potential', 'in', 'l1', 'we', 'prove', 'that', 'two', 'potentials', 'already', 'known', 'on', 'a1', 'ain012', 'and', 'having', 'their', 'difference', 'in', 'lp', 'are', 'equal', 'if', 'the', 'number', 'of', 'their', 'common', 'eigenvalues', 'is', 'sufficiently', 'large', 'the', 'result', 'here', 'is', 'to', 'write', 'down', 'explicitly', 'this', 'number', 'in', 'terms', 'of', 'p', 'and', 'a', 'showing', 'the', 'role', 'of', 'p']] | [-0.14372849790379405, 0.13389464508121213, -0.045575870224274694, 0.06749766364422007, -0.02035616251329581, -0.10924366693167636, 0.03158641350455582, 0.35885110252808466, -0.26519940588623286, -0.2958856852725148, 0.1158537225817175, -0.30716703639676174, -0.1323942084175845, 0.15342661986748377, -0.04076076555841913, 0.01899371240288019, 0.03017929003884395, 0.1264699379913509, -0.051945451645102975, -0.2570307728873255, 0.3495913343504071, -0.06694319763531288, 0.15542198719534403, 0.07895098229249319, 0.04410105839682122, 0.004915115679614246, 0.009254985834316661, -0.019107036610754826, -0.1113107606968697, 0.10428661570379821, 0.21640679261957604, 0.08151116631282397, 0.3040840421803296, -0.4069831478409469, -0.1280099071872731, 0.18406772620704334, 0.13585447013222923, 0.06380651526463528, -0.03546298230842997, -0.1851067008761068, 0.15445220023781683, -0.13075481733928124, -0.17396622261342903, -0.06277080501119296, 0.09682732097959766, 0.06256660774233751, -0.2710899690942218, 0.07352231078160305, 0.11253997795283795, 0.03381722023865829, -0.057555838394910096, -0.1651477124930049, -0.006038385101904472, 0.09145063660883655, 0.058930539089487866, 0.042055916305010516, 0.013709549272122482, -0.08295644957494612, -0.04104952038517998, 0.38314710886528097, -0.04811064615108383, -0.24770939107984305, 0.18437729353706042, -0.20178989478154108, -0.10735749438560258, 0.06313162326502303, 0.14248374850479498, 0.13529314166711023, -0.08169419641296069, 0.16859172012773344, -0.04596238173544407, 0.13340647153090684, 0.10718106120669593, 0.0580474336243545, 0.11506452510754267, 0.08817507291678339, 0.10105427124847968, 0.12210519066235671, -0.05130605020870765, -0.05850285110451902, -0.33106250191728276, -0.1341837995375196, -0.2213487028454741, 0.09042463620814184, -0.09150229105677378, -0.1357195085923498, 0.35817030603066086, 0.1062750554876402, 0.22814019919217873, 0.08597160159454992, 0.21664143099139135, 0.1693801938711355, 0.04473770045830558, 0.06795652351186922, 0.21665800271245342, 0.1284760020673275, 0.057889628177508715, -0.22000891170464457, 0.008696488857579728, 0.08402454458797971] |
710.3916 | Optimized Design of Survivable MPLS over Optical Transport Networks.
Optical Switching and Networking | In this paper we study different options for the survivability implementation
in MPLS over Optical Transport Networks in terms of network resource usage and
configuration cost. We investigate two approaches to the survivability
deployment: single layer and multilayer survivability and present various
methods for spare capacity allocation (SCA) to reroute disrupted traffic. The
comparative analysis shows the influence of the traffic granularity on the
survivability cost: for high bandwidth LSPs, close to the optical channel
capacity, the multilayer survivability outperforms the single layer one,
whereas for low bandwidth LSPs the single layer survivability is more
cost-efficient. For the multilayer survivability we demonstrate that by mapping
efficiently the spare capacity of the MPLS layer onto the resources of the
optical layer one can achieve up to 22% savings in the total configuration cost
and up to 37% in the optical layer cost. Further savings (up to 9 %) in the
wavelength use can be obtained with the integrated approach to network
configuration over the sequential one, however, at the increase in the
optimization problem complexity. These results are based on a cost model with
actual technology pricing and were obtained for networks targeted to a
nationwide coverage.
| cs.NI cs.PF | in this paper we study different options for the survivability implementation in mpls over optical transport networks in terms of network resource usage and configuration cost we investigate two approaches to the survivability deployment single layer and multilayer survivability and present various methods for spare capacity allocation sca to reroute disrupted traffic the comparative analysis shows the influence of the traffic granularity on the survivability cost for high bandwidth lsps close to the optical channel capacity the multilayer survivability outperforms the single layer one whereas for low bandwidth lsps the single layer survivability is more costefficient for the multilayer survivability we demonstrate that by mapping efficiently the spare capacity of the mpls layer onto the resources of the optical layer one can achieve up to 22 savings in the total configuration cost and up to 37 in the optical layer cost further savings up to 9 in the wavelength use can be obtained with the integrated approach to network configuration over the sequential one however at the increase in the optimization problem complexity these results are based on a cost model with actual technology pricing and were obtained for networks targeted to a nationwide coverage | [['in', 'this', 'paper', 'we', 'study', 'different', 'options', 'for', 'the', 'survivability', 'implementation', 'in', 'mpls', 'over', 'optical', 'transport', 'networks', 'in', 'terms', 'of', 'network', 'resource', 'usage', 'and', 'configuration', 'cost', 'we', 'investigate', 'two', 'approaches', 'to', 'the', 'survivability', 'deployment', 'single', 'layer', 'and', 'multilayer', 'survivability', 'and', 'present', 'various', 'methods', 'for', 'spare', 'capacity', 'allocation', 'sca', 'to', 'reroute', 'disrupted', 'traffic', 'the', 'comparative', 'analysis', 'shows', 'the', 'influence', 'of', 'the', 'traffic', 'granularity', 'on', 'the', 'survivability', 'cost', 'for', 'high', 'bandwidth', 'lsps', 'close', 'to', 'the', 'optical', 'channel', 'capacity', 'the', 'multilayer', 'survivability', 'outperforms', 'the', 'single', 'layer', 'one', 'whereas', 'for', 'low', 'bandwidth', 'lsps', 'the', 'single', 'layer', 'survivability', 'is', 'more', 'costefficient', 'for', 'the', 'multilayer', 'survivability', 'we', 'demonstrate', 'that', 'by', 'mapping', 'efficiently', 'the', 'spare', 'capacity', 'of', 'the', 'mpls', 'layer', 'onto', 'the', 'resources', 'of', 'the', 'optical', 'layer', 'one', 'can', 'achieve', 'up', 'to', '22', 'savings', 'in', 'the', 'total', 'configuration', 'cost', 'and', 'up', 'to', '37', 'in', 'the', 'optical', 'layer', 'cost', 'further', 'savings', 'up', 'to', '9', 'in', 'the', 'wavelength', 'use', 'can', 'be', 'obtained', 'with', 'the', 'integrated', 'approach', 'to', 'network', 'configuration', 'over', 'the', 'sequential', 'one', 'however', 'at', 'the', 'increase', 'in', 'the', 'optimization', 'problem', 'complexity', 'these', 'results', 'are', 'based', 'on', 'a', 'cost', 'model', 'with', 'actual', 'technology', 'pricing', 'and', 'were', 'obtained', 'for', 'networks', 'targeted', 'to', 'a', 'nationwide', 'coverage']] | [-0.154151496441008, 0.004386758817455326, 0.014583348318074759, 0.005534330604729266, -0.03323384091998331, -0.13764947918363107, 0.16033220616205093, 0.43009688150471986, -0.29593188954182925, -0.34179276038820927, 0.12212114662755853, -0.26625408134303796, -0.10570050011484478, 0.18191322831269832, -0.08740561722944944, 0.08218554811886487, 0.087575771060223, -0.02008425394216409, -0.012308795290748374, -0.2859799789163308, 0.2641285613615018, 0.10194479701801752, 0.368885734758507, 0.06845761929628982, 0.046530884098357116, -0.004688140414416408, 0.026843697279811098, -0.020245745853306008, -0.06802478007967017, 0.16529201902867033, 0.2663428341301206, 0.11432329914457977, 0.2997254135708014, -0.473477437815223, -0.26887265828509743, 0.06778803367327409, 0.12278070536871942, 0.044028387180505654, 0.0005923875717249198, -0.20271437887388927, 0.12194948288468788, -0.22150656652803988, -0.06992922728308118, -0.050701879309967925, -0.053956693262817004, -0.002434291221941702, -0.2693750644150453, 0.011128838236133257, -0.04149069168055669, 0.02456751987576867, -0.05936784642772415, -0.12765332349361136, -0.04569884976193022, 0.14617761206120636, -0.01829266370071146, -0.014304085138540428, 0.14103674963355448, -0.16612893162319103, -0.10716351431866104, 0.34517308892126236, -0.059298499093319364, -0.19606371961820585, 0.17843031345848712, -0.06640310103121476, -0.097054046464081, 0.15175548232256028, 0.2532765134643668, 0.06922188160511164, -0.16793340787482566, -0.021893607875338207, 0.01819539062248973, 0.19155425971899276, 0.08550082402160535, 0.09393843390668431, 0.1473943864317754, 0.29072058763450537, 0.11831954622593446, 0.19827318541430988, -0.14772540347125285, -0.10209524701468838, -0.19007506042671127, -0.1780716873693447, -0.15324340383761012, -0.001921387515269602, -0.10012551551074303, -0.08403190501416341, 0.414477069183993, 0.1586100395147999, 0.1545823454331511, 0.10867147240310143, 0.37480336809769654, 0.08191407885497962, 0.12804006110262633, 0.13607829875217226, 0.23353448325815873, 0.026408585405741366, 0.17543026608510467, -0.20950367234121914, 0.06772212887732074, -0.02174213241833525] |
710.3917 | Heuristic Solution to Protect Communications in WDM Networks using
P-cycles | Optical WDM mesh networks are able to transport huge amount of information.
The use of such technology however poses the problem of protection against
failures such as fibre cuts. One of the principal methods for link protection
used in optical WDM networks is pre-configured protection cycle (p-cycle). The
major problem of this method of protection resides in finding the optimal set
of p-cycles which protect the network for a given distribution of working
capacity. Existing heuristics generate a large set of p-cycle candidates which
are entirely independent of the network state, and from then the good sub-set
of p-cycles which will protect the network is selected. In this paper, we
propose a new algorithm of generation of p-cycles based on the incremental
aggregation of the shortest cycles. Our generation of p-cycles depends on the
state of the network. This enables us to choose an efficient set of p-cycles
which will protect the network. The set of p-cycles that we generate is the
final set which will protect the network, in other words our heuristic does not
go through the additional step of p-cycle selection
| cs.NI | optical wdm mesh networks are able to transport huge amount of information the use of such technology however poses the problem of protection against failures such as fibre cuts one of the principal methods for link protection used in optical wdm networks is preconfigured protection cycle pcycle the major problem of this method of protection resides in finding the optimal set of pcycles which protect the network for a given distribution of working capacity existing heuristics generate a large set of pcycle candidates which are entirely independent of the network state and from then the good subset of pcycles which will protect the network is selected in this paper we propose a new algorithm of generation of pcycles based on the incremental aggregation of the shortest cycles our generation of pcycles depends on the state of the network this enables us to choose an efficient set of pcycles which will protect the network the set of pcycles that we generate is the final set which will protect the network in other words our heuristic does not go through the additional step of pcycle selection | [['optical', 'wdm', 'mesh', 'networks', 'are', 'able', 'to', 'transport', 'huge', 'amount', 'of', 'information', 'the', 'use', 'of', 'such', 'technology', 'however', 'poses', 'the', 'problem', 'of', 'protection', 'against', 'failures', 'such', 'as', 'fibre', 'cuts', 'one', 'of', 'the', 'principal', 'methods', 'for', 'link', 'protection', 'used', 'in', 'optical', 'wdm', 'networks', 'is', 'preconfigured', 'protection', 'cycle', 'pcycle', 'the', 'major', 'problem', 'of', 'this', 'method', 'of', 'protection', 'resides', 'in', 'finding', 'the', 'optimal', 'set', 'of', 'pcycles', 'which', 'protect', 'the', 'network', 'for', 'a', 'given', 'distribution', 'of', 'working', 'capacity', 'existing', 'heuristics', 'generate', 'a', 'large', 'set', 'of', 'pcycle', 'candidates', 'which', 'are', 'entirely', 'independent', 'of', 'the', 'network', 'state', 'and', 'from', 'then', 'the', 'good', 'subset', 'of', 'pcycles', 'which', 'will', 'protect', 'the', 'network', 'is', 'selected', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'algorithm', 'of', 'generation', 'of', 'pcycles', 'based', 'on', 'the', 'incremental', 'aggregation', 'of', 'the', 'shortest', 'cycles', 'our', 'generation', 'of', 'pcycles', 'depends', 'on', 'the', 'state', 'of', 'the', 'network', 'this', 'enables', 'us', 'to', 'choose', 'an', 'efficient', 'set', 'of', 'pcycles', 'which', 'will', 'protect', 'the', 'network', 'the', 'set', 'of', 'pcycles', 'that', 'we', 'generate', 'is', 'the', 'final', 'set', 'which', 'will', 'protect', 'the', 'network', 'in', 'other', 'words', 'our', 'heuristic', 'does', 'not', 'go', 'through', 'the', 'additional', 'step', 'of', 'pcycle', 'selection']] | [-0.15819174149415313, 0.034048906165006214, -0.06018969979714197, 0.0090530148110069, -0.08172271209364028, -0.14281645341037327, 0.10997223644580631, 0.3402302271038618, -0.31125459806872124, -0.2954948762730371, 0.12665213473424639, -0.2663011868552649, -0.1394734255331771, 0.18515518278866733, -0.11316473264267425, 0.06183147948468104, 0.08094615684176856, 0.050108432756172515, 0.016708499469804457, -0.27878065475100733, 0.34421538377342664, 0.048990307866757656, 0.33589874224170396, 0.018284236104670486, 0.09770860767710711, 0.001580746963356986, -0.048655103892087936, -0.019485803329861603, -0.07031628111796992, 0.1784664215532678, 0.24292368881161447, 0.20103455744787346, 0.2760171790951458, -0.44397458325788053, -0.1928590540495782, 0.16719032829100994, 0.13930740596665797, 0.15597935313923264, -0.011880507344714082, -0.22852120162797687, 0.13903384731130916, -0.17756744160373195, -0.07881859583279077, -0.06578774494727954, -0.021778540959095826, 0.014131644407904747, -0.28297243851525505, -0.03986942392277896, 0.027289300937651285, 0.01649195095524192, -0.008567366721209786, -0.085493941351002, -0.06101219257992773, 0.19385935448150596, -0.006701162321563891, 0.04177012946836286, 0.12904388544658382, -0.1251845180630208, -0.13287652140159323, 0.3915993089625693, -0.0071139216521734615, -0.18014538928906879, 0.1735701192405743, -0.02703922004034014, -0.13833852958075865, 0.12062441686208805, 0.21337259888051727, 0.09600293029190811, -0.1505769071644982, 0.005007081561969877, -0.05939829469476219, 0.17370724875312907, 0.02133177457701253, 0.08207736190271807, 0.19013164971914628, 0.22452944866381586, 0.1332680200892197, 0.14067075948981295, -0.11080035401012181, -0.04707475074911085, -0.29940129406294663, -0.14645314031361562, -0.2085522913599245, 0.04925701337869332, -0.08659521791647105, -0.19589786231011638, 0.43389542159338423, 0.20637823173361222, 0.1673434321571182, 0.05089051786410931, 0.3193564329792381, 0.03403889342584791, 0.11117779993029493, 0.09249220936528771, 0.212155813487935, 0.04479881208048344, 0.061338179086780416, -0.19422322477033088, 0.09444755700710432, 0.056590109606749255] |
710.3918 | Dependable k-coverage algorithms for sensor networks | Redundant sensing capabilities are often required in sensor network
applications due to various reasons, e.g. robustness, fault tolerance, or
increased accuracy. At the same time high sensor redundancy offers the
possibility of increasing network lifetime by scheduling sleep intervals for
some sensors and still providing continuous service with help of the remaining
active sensors. In this paper centralized and distributed algorithms are
proposed to solve the k-coverage sensing problem and maximize network lifetime.
When physically possible, the proposed robust Controlled Greedy Sleep Algorithm
provides guaranteed service independently of node and communication errors in
the network. The performance of the algorithm is illustrated and compared to
results of a random solution by simulation examples.
| cs.NI | redundant sensing capabilities are often required in sensor network applications due to various reasons eg robustness fault tolerance or increased accuracy at the same time high sensor redundancy offers the possibility of increasing network lifetime by scheduling sleep intervals for some sensors and still providing continuous service with help of the remaining active sensors in this paper centralized and distributed algorithms are proposed to solve the kcoverage sensing problem and maximize network lifetime when physically possible the proposed robust controlled greedy sleep algorithm provides guaranteed service independently of node and communication errors in the network the performance of the algorithm is illustrated and compared to results of a random solution by simulation examples | [['redundant', 'sensing', 'capabilities', 'are', 'often', 'required', 'in', 'sensor', 'network', 'applications', 'due', 'to', 'various', 'reasons', 'eg', 'robustness', 'fault', 'tolerance', 'or', 'increased', 'accuracy', 'at', 'the', 'same', 'time', 'high', 'sensor', 'redundancy', 'offers', 'the', 'possibility', 'of', 'increasing', 'network', 'lifetime', 'by', 'scheduling', 'sleep', 'intervals', 'for', 'some', 'sensors', 'and', 'still', 'providing', 'continuous', 'service', 'with', 'help', 'of', 'the', 'remaining', 'active', 'sensors', 'in', 'this', 'paper', 'centralized', 'and', 'distributed', 'algorithms', 'are', 'proposed', 'to', 'solve', 'the', 'kcoverage', 'sensing', 'problem', 'and', 'maximize', 'network', 'lifetime', 'when', 'physically', 'possible', 'the', 'proposed', 'robust', 'controlled', 'greedy', 'sleep', 'algorithm', 'provides', 'guaranteed', 'service', 'independently', 'of', 'node', 'and', 'communication', 'errors', 'in', 'the', 'network', 'the', 'performance', 'of', 'the', 'algorithm', 'is', 'illustrated', 'and', 'compared', 'to', 'results', 'of', 'a', 'random', 'solution', 'by', 'simulation', 'examples']] | [-0.16433758613348534, 0.043817082902136366, 0.013670101564014908, 0.003870768571453812, -0.050867251705675, -0.22931117733808615, 0.12762146184439319, 0.43261702147732795, -0.2809979021549225, -0.362680237789729, 0.13387254874873084, -0.23981101931262333, -0.16868225043120308, 0.16611969017112563, -0.19212595624766782, 0.17722087680667112, 0.09015413404087458, 0.04899770883530115, 0.010596462370893728, -0.29059197264517433, 0.21586994777445936, 0.1329199630453919, 0.3585692465766869, 0.03730026803564577, 0.09329658629685904, 0.0028907722253682074, -0.04666995863735148, 0.014816709332563708, -0.04709200460702774, 0.11852827851724423, 0.3263704388740316, 0.1914685538730922, 0.35439627953862723, -0.4646592558715987, -0.21221477206203, 0.10730370168318659, 0.1613282679040057, 0.07254491268813743, -0.04000589859659528, -0.31683195891699434, 0.15368619954328885, -0.18975381050423712, -0.06064831374410903, -0.0742816165814885, -0.021859159202735245, 0.03886971617760384, -0.3035095813807792, 0.010940878355331652, -0.030925418159603018, 0.014427680204894426, -0.07742308226694246, -0.07748610723302164, 0.03656719816926933, 0.1627311940540341, 0.048013580441722166, 0.007187752823749211, 0.1828641440158924, -0.10210681465800554, -0.16351951058929276, 0.36857508399845224, 0.06122719310018011, -0.18962962554553442, 0.17518077077409994, -0.001560078488778224, -0.13101651575169074, 0.16488375163851388, 0.19698472998405814, 0.06307125458763232, -0.16755913743459253, 0.007851172132990364, 0.07992435108243892, 0.1445196976398934, 0.05279268302534402, 0.09468231893729716, 0.12241076669177717, 0.24830102214004549, 0.1607991253742866, 0.14012706428312952, -0.07879854794962546, -0.0716456183324057, -0.20172025270418026, -0.09463495171867904, -0.22039519623746123, -0.0482769200992482, -0.1500520729618219, -0.09429418717601658, 0.4096706816432091, 0.20711574201838864, 0.14614699726957267, 0.11271356806505174, 0.40324756423983954, 0.04390036908237972, 0.04018860382689328, 0.12705956750129044, 0.19258591591970856, 0.06092818481672506, 0.14904956153668134, -0.20012015814324263, 0.1371187075614039, -0.023307330815731424] |
710.3919 | Bounding sectional curvature along a K\"ahler-Ricci flow | If a normalized K\"{a}hler-Ricci flow $g(t),t\in[0,\infty),$ on a compact
K\"{a}hler $n$-manifold, $n\geq 3$, of positive first Chern class satisfies
$g(t)\in 2\pi c_{1}(M)$ and has $L^{n}$ curvature operator uniformly bounded,
then the curvature operator will also uniformly bounded along the flow.
Consequently the flow will converge along a subsequence to a K\"{a}hler-Ricci
soliton.
| math.DG | if a normalized kahlerricci flow gttin0infty on a compact kahler nmanifold ngeq 3 of positive first chern class satisfies gtin 2pi c_1m and has ln curvature operator uniformly bounded then the curvature operator will also uniformly bounded along the flow consequently the flow will converge along a subsequence to a kahlerricci soliton | [['if', 'a', 'normalized', 'kahlerricci', 'flow', 'gttin0infty', 'on', 'a', 'compact', 'kahler', 'nmanifold', 'ngeq', '3', 'of', 'positive', 'first', 'chern', 'class', 'satisfies', 'gtin', '2pi', 'c_1m', 'and', 'has', 'ln', 'curvature', 'operator', 'uniformly', 'bounded', 'then', 'the', 'curvature', 'operator', 'will', 'also', 'uniformly', 'bounded', 'along', 'the', 'flow', 'consequently', 'the', 'flow', 'will', 'converge', 'along', 'a', 'subsequence', 'to', 'a', 'kahlerricci', 'soliton']] | [-0.26761243127140344, 0.17699711143459176, -0.11035407257868964, 0.005179657381685341, -0.13256833150836766, -0.2205344659148478, -0.09925212871794607, 0.4000321599408327, -0.3152036255992511, -0.03382741734750715, 0.14290089022788202, -0.3899064743800052, -0.10240793493393735, 0.136798034294271, -0.1480917500733745, 0.06950039680426319, 0.08363429993829306, 0.15233823496337032, -0.09881989948232384, -0.239776427711488, 0.4161396341434881, -0.11487122124754916, 0.1970531525017292, 0.16895903124674863, 0.15858254036335412, -0.14195727590727164, 0.07341940669963758, 0.0738757927993349, -0.24212111291639946, 0.05965866791267021, 0.18116224709642575, 0.0353475414746094, 0.28780847225411266, -0.3399457593777162, -0.19638701804055303, 0.2403286430144719, 0.20825722616385012, -0.051403830010516974, -0.04046268992390776, -0.27994235718221055, 0.19973603292715317, -0.05658293749187507, -0.22019999806641363, -0.06485738927571505, 0.06655753717995157, 0.04742544118826296, -0.2386628103022482, 0.02208083868426198, 0.14029587140562488, 0.006074765322766467, -0.07241509641137193, -0.06502747183263886, -0.15318256311629916, 0.033429285159845855, 0.037606251663437076, 0.17804773853790454, 0.09725001578986206, -0.023894728398790546, -0.012141660356885004, 0.2966819117028339, -0.2339870938118182, -0.3086196636306305, -0.07350827103444174, -0.15420149197327157, -0.11758004888599995, 0.16196114867560418, 0.15598797171796655, 0.24080526562151955, 0.006304637556347777, 0.16712934647883088, -0.07233308730464355, 0.16327619585482514, 0.15664721274858012, -0.03367001362437127, 0.12261020850536286, 0.061392707339323616, 0.306837648792448, 0.08411182219381719, 0.0042472433746226276, -0.0702737377426934, -0.39507783145881165, -0.19671309841614143, -0.18911425011488153, 0.24367914794414652, -0.19205800841040863, -0.1810281164396335, 0.3926536105938402, -0.07142722117258053, 0.18289670465039273, 0.22204920425828473, 0.2237694204132091, 0.05213468785251619, -0.008826253935694695, 0.21796297208935606, 0.12543767214040547, 0.20075084608705604, 0.1679312955820933, -0.13554360964061582, -0.08014990746354063, 0.20523703542216132] |
710.392 | An Introduction to Potential Theory in Calibrated Geometry | We introduce and study the notion of plurisubharmonic functions in calibrated
geometry. These functions generalize the classical plurisubharmonic functions
from complex geometry and enjoy their important properties. Moreover, they
exist in abundance whereas the corresponding pluriharmonics are generally quite
scarce. A number of the results established in complex analysis via
plurisubharmonic functions are extended to calibrated manifolds. In particular,
the notion of pseudo-convexity for a calibrated manifold (X,\phi) is introduced
and studied. Analogues of totally real submanifolds are also introduced and
used to construct enormous families of strictly \phi-convex spaces with every
topological type allowed by Morse Theory. Specific calibrations are used as
examples throughout.
| math.DG math.CV | we introduce and study the notion of plurisubharmonic functions in calibrated geometry these functions generalize the classical plurisubharmonic functions from complex geometry and enjoy their important properties moreover they exist in abundance whereas the corresponding pluriharmonics are generally quite scarce a number of the results established in complex analysis via plurisubharmonic functions are extended to calibrated manifolds in particular the notion of pseudoconvexity for a calibrated manifold xphi is introduced and studied analogues of totally real submanifolds are also introduced and used to construct enormous families of strictly phiconvex spaces with every topological type allowed by morse theory specific calibrations are used as examples throughout | [['we', 'introduce', 'and', 'study', 'the', 'notion', 'of', 'plurisubharmonic', 'functions', 'in', 'calibrated', 'geometry', 'these', 'functions', 'generalize', 'the', 'classical', 'plurisubharmonic', 'functions', 'from', 'complex', 'geometry', 'and', 'enjoy', 'their', 'important', 'properties', 'moreover', 'they', 'exist', 'in', 'abundance', 'whereas', 'the', 'corresponding', 'pluriharmonics', 'are', 'generally', 'quite', 'scarce', 'a', 'number', 'of', 'the', 'results', 'established', 'in', 'complex', 'analysis', 'via', 'plurisubharmonic', 'functions', 'are', 'extended', 'to', 'calibrated', 'manifolds', 'in', 'particular', 'the', 'notion', 'of', 'pseudoconvexity', 'for', 'a', 'calibrated', 'manifold', 'xphi', 'is', 'introduced', 'and', 'studied', 'analogues', 'of', 'totally', 'real', 'submanifolds', 'are', 'also', 'introduced', 'and', 'used', 'to', 'construct', 'enormous', 'families', 'of', 'strictly', 'phiconvex', 'spaces', 'with', 'every', 'topological', 'type', 'allowed', 'by', 'morse', 'theory', 'specific', 'calibrations', 'are', 'used', 'as', 'examples', 'throughout']] | [-0.0935062009475327, 0.08790491431663257, -0.07232625668070146, 0.18149437115810413, -0.0674204498008337, -0.13128025917602437, -0.013053269246371374, 0.38790362521651245, -0.23531691976601168, -0.24876188877083005, 0.11707234202241082, -0.24603329449892045, -0.19959428036762844, 0.2468199963504005, -0.13854354178266867, 0.05273924339046408, 0.0199971468276566, 0.016214092177826735, -0.10602907666692599, -0.2421549772998939, 0.41805880249788363, -0.0402426006006343, 0.2269599189893121, 0.043040277037237375, 0.03590374819579579, -0.016718080112089712, -0.07186481843569449, 0.05354937865188168, -0.21377407543006396, 0.1617023241861413, 0.2919124579677979, 0.12525825121306947, 0.218459546175741, -0.3848140054368525, -0.1951767354848839, 0.1897322961572735, 0.10896841349811959, -0.027490688853764107, -0.04350736807322218, -0.2802880261625562, 0.07682385527129684, -0.109498634131714, -0.19834107137285173, -0.14339733963743562, 0.008280345797538757, 0.08731065725774638, -0.19773635301916373, 0.013508878561523965, 0.048936223915024175, 0.0978647176265007, -0.0767284670135095, -0.09875699851129736, -0.09888378422529924, 0.08960010795632288, -0.004120454531429069, 0.040866000562285384, 0.0894792504691785, -0.036718226011310307, -0.1036316341942265, 0.3445726913621738, -0.04079010412096977, -0.3029686581166018, 0.21296352293519746, -0.1367184162295113, -0.1527090268874807, 0.07992106207779476, 0.1329525264379169, 0.17793434034323408, -0.11053260943098438, 0.1469410389018733, -0.03298533247074201, 0.08005589884484098, 0.1117997627794033, 0.06089232636260845, 0.12756117226644642, 0.06605241566319905, 0.07940991464115324, 0.1412631108381209, 0.02738037319144323, -0.11214005486496413, -0.30541161288108143, -0.13320529901178643, -0.14990106002383288, 0.08941336426152183, -0.08121032426078316, -0.21804158900021797, 0.3569331899884024, 0.056240774593121996, 0.197277969231696, 0.09620026386387291, 0.21667193369274693, 0.06826623443935421, 0.07813421347888098, 0.052713250699231315, 0.18744185861377488, 0.22378103404882407, 0.06733223309829121, -0.07634051438321227, 0.03407437191732849, 0.12431774412592252] |
710.3921 | Duality of Positive Currents and Plurisubharmonic Functions in
Calibrated Geometry | Recently the authors showed that there is a robust potential theory attached
to any calibrated manifold (X,\phi). In particular, on X there exist
\phi-plurisubharmonic functions, \phi-convex domains, \phi-convex boundaries,
etc., all inter-related and having a number of good properties. In this paper
we show that, in a strong sense, the plurisubharmonic functions are the polar
duals of the \phi-submanifolds, or more generally, the \phi-currents studied in
the original paper on calibrations. In particular, we establish an analogue of
Duval-Sibony Duality which characterizes points in the \phi-convex hull of a
compact set K in X in terms of \phi-positive Green's currents on X and Jensen
measures on K. We also characterize boundaries of \phi-currents entirely in
terms of \phi-plurisubharmonic functions. Specific calibrations are used as
examples throughout. Analogues of the Hodge Conjecture in calibrated geometry
are considered.
| math.DG math.CV | recently the authors showed that there is a robust potential theory attached to any calibrated manifold xphi in particular on x there exist phiplurisubharmonic functions phiconvex domains phiconvex boundaries etc all interrelated and having a number of good properties in this paper we show that in a strong sense the plurisubharmonic functions are the polar duals of the phisubmanifolds or more generally the phicurrents studied in the original paper on calibrations in particular we establish an analogue of duvalsibony duality which characterizes points in the phiconvex hull of a compact set k in x in terms of phipositive greens currents on x and jensen measures on k we also characterize boundaries of phicurrents entirely in terms of phiplurisubharmonic functions specific calibrations are used as examples throughout analogues of the hodge conjecture in calibrated geometry are considered | [['recently', 'the', 'authors', 'showed', 'that', 'there', 'is', 'a', 'robust', 'potential', 'theory', 'attached', 'to', 'any', 'calibrated', 'manifold', 'xphi', 'in', 'particular', 'on', 'x', 'there', 'exist', 'phiplurisubharmonic', 'functions', 'phiconvex', 'domains', 'phiconvex', 'boundaries', 'etc', 'all', 'interrelated', 'and', 'having', 'a', 'number', 'of', 'good', 'properties', 'in', 'this', 'paper', 'we', 'show', 'that', 'in', 'a', 'strong', 'sense', 'the', 'plurisubharmonic', 'functions', 'are', 'the', 'polar', 'duals', 'of', 'the', 'phisubmanifolds', 'or', 'more', 'generally', 'the', 'phicurrents', 'studied', 'in', 'the', 'original', 'paper', 'on', 'calibrations', 'in', 'particular', 'we', 'establish', 'an', 'analogue', 'of', 'duvalsibony', 'duality', 'which', 'characterizes', 'points', 'in', 'the', 'phiconvex', 'hull', 'of', 'a', 'compact', 'set', 'k', 'in', 'x', 'in', 'terms', 'of', 'phipositive', 'greens', 'currents', 'on', 'x', 'and', 'jensen', 'measures', 'on', 'k', 'we', 'also', 'characterize', 'boundaries', 'of', 'phicurrents', 'entirely', 'in', 'terms', 'of', 'phiplurisubharmonic', 'functions', 'specific', 'calibrations', 'are', 'used', 'as', 'examples', 'throughout', 'analogues', 'of', 'the', 'hodge', 'conjecture', 'in', 'calibrated', 'geometry', 'are', 'considered']] | [-0.14840805767529983, 0.06513328185088864, -0.07882799169900574, 0.09266493661516859, -0.0049741926400871704, -0.07724999190965133, 0.03490310766492328, 0.39162496504799804, -0.22774892880819564, -0.21671496320140454, 0.09667890440210584, -0.2706559822955999, -0.19202863642505494, 0.22373722897763113, -0.15202934436442317, 0.015797370582703474, 0.009246898475716742, 0.06283894797260042, -0.11481597272015011, -0.26082100233878913, 0.3667555310142537, -0.0502683452958631, 0.2487115332813457, 0.06458372071334846, 0.06989914274868346, -0.010499723131096986, -0.018445032708303527, 0.059294454092809624, -0.1750710211634905, 0.13342200792141895, 0.26986280156934794, 0.09589418094215352, 0.21920101939476738, -0.39016705864766077, -0.1875659079460586, 0.14595652067340736, 0.09049239979746442, -0.00848601381168087, -0.03930454751237047, -0.2317073059073368, 0.10928441037589959, -0.10070435730957014, -0.15213226676420416, -0.08331869472569042, 0.05150533579434304, 0.0597488861242237, -0.23782953719586827, 0.020816517760751538, 0.08204737532966908, 0.09015342471182577, -0.08689503548594639, -0.12164246142921291, -0.046505595595294304, 0.09819536843669219, 0.008136221213092985, 0.07420978938453188, 0.04960894785359386, -0.10265831323340535, -0.10397249987789307, 0.3369062195871343, -0.061827628757775754, -0.2508962920852468, 0.21758213930929354, -0.18626555834189346, -0.16195371396507519, 0.0711163625973024, 0.15131478152389444, 0.18064747981062923, -0.13389238986988053, 0.15711397520905404, -0.0967355693055158, 0.11289852069936289, 0.12689949572447312, 0.053876778240813765, 0.1688367603418901, 0.07633032069077658, 0.08531465852820827, 0.15039124235496387, -0.004163796764386948, -0.07043346210000243, -0.36594598098520853, -0.17505136680565486, -0.18547494308174725, 0.06799225485342186, -0.06454872879242099, -0.20823303374728952, 0.3613420056500436, 0.09429172533142377, 0.20649635204828756, 0.03072896633069789, 0.21142111528058385, 0.0818987436803074, 0.06351467488873244, 0.07901067992441299, 0.18657106626056885, 0.15913034853879218, 0.02023865934822333, -0.1298079324192223, 0.051135263542911806, 0.1140253615110766] |
710.3922 | Hysteresis Models of Dynamic Mode Atomic Force Microscopes: Analysis and
Identification | A new class of models based on hysteresis functions is developed to describe
atomic force microscopes operating in dynamic mode. Such models are able to
account for dissipative phenomena in the tip-sample interaction which are
peculiar of this operation mode. The model analysis, which can be pursued using
frequency domain techniques, provides a clear insight of specific nonlinear
behaviours. Experiments show good agreement with the identified models.
| nlin.CD | a new class of models based on hysteresis functions is developed to describe atomic force microscopes operating in dynamic mode such models are able to account for dissipative phenomena in the tipsample interaction which are peculiar of this operation mode the model analysis which can be pursued using frequency domain techniques provides a clear insight of specific nonlinear behaviours experiments show good agreement with the identified models | [['a', 'new', 'class', 'of', 'models', 'based', 'on', 'hysteresis', 'functions', 'is', 'developed', 'to', 'describe', 'atomic', 'force', 'microscopes', 'operating', 'in', 'dynamic', 'mode', 'such', 'models', 'are', 'able', 'to', 'account', 'for', 'dissipative', 'phenomena', 'in', 'the', 'tipsample', 'interaction', 'which', 'are', 'peculiar', 'of', 'this', 'operation', 'mode', 'the', 'model', 'analysis', 'which', 'can', 'be', 'pursued', 'using', 'frequency', 'domain', 'techniques', 'provides', 'a', 'clear', 'insight', 'of', 'specific', 'nonlinear', 'behaviours', 'experiments', 'show', 'good', 'agreement', 'with', 'the', 'identified', 'models']] | [-0.11148797200798098, 0.09599684604179504, -0.13005047012120485, 0.07173829258475174, -0.1115068868914647, -0.19063652925360114, 0.01719440647692823, 0.38832517426961394, -0.2526572866173315, -0.2959565897263698, 0.0553318351965898, -0.22324905413856258, -0.1711534047082289, 0.28461184060381756, 0.000909994557889095, 0.06808904593171024, 0.0628239713216534, -0.025530868918815657, -0.02987745861912063, -0.13390647813177375, 0.266118316501101, 0.04909088012220254, 0.3245352704022358, 0.049361701248519456, 0.11399153563013273, -0.049116728396446846, -0.01092430657304045, 0.0598336538828131, -0.14995185617329693, 0.07284705404803823, 0.26671627706472556, 0.056460674720079596, 0.2601229254045148, -0.46217369880360454, -0.2691253731583259, 0.06856922057644922, 0.12045954626206476, 0.11726229650024046, -0.04090222660382626, -0.2747611074166289, 0.028831447460758153, -0.13522477128278854, -0.12447884897075927, -0.157414856978428, -0.03375482855976295, 0.056633099691191714, -0.30271071074669487, 0.06513012185651086, 0.0500591509356928, 0.07979730445780416, -0.0810130863135158, -0.06917013115346876, 0.03864659949330919, 0.12318143339605252, -0.0011697825680333953, -0.0034336808881263677, 0.1391270513083341, -0.11137623780879623, -0.14241892419088242, 0.3899263595995396, -0.06632287472264091, -0.1762145371662814, 0.25521017108182076, -0.12171015611140808, -0.09896456489839883, 0.11277274892373539, 0.20020566041122623, 0.07978003358802022, -0.1912091884730773, 0.04018519868476511, 0.009709060018353942, 0.20200822633037815, 0.005167335348287181, 0.054249036861579246, 0.23075012740359377, 0.23865347506422827, -0.01035723534982596, 0.1307018132751752, -0.06708297476436553, -0.10394414084782796, -0.27143673198436624, -0.07895533971613579, -0.13258393254711417, -0.02315119312513175, -0.030605945326109874, -0.13889485918708258, 0.41718246850338, 0.16689933453180042, 0.1886735749083446, -0.0066461043898016214, 0.3014584125728527, 0.13635570195906643, 0.1388828430825205, -0.004075176548212767, 0.2754653410155521, 0.09485954193592962, 0.10614274153763902, -0.23016695781617857, 0.06057048696718777, 0.014258808748268369] |
710.3923 | Creation of fundamental particles in Wesson's IMT | Fundamental particles, regarded as the constituents of quarks and leptons,
are described classicaly in the framework of the Weyl-Dirac version of Wesson's
Induced Matter Theory. There are neutral particles and particles having charge
Q=+/-(1/3e). The particles appear on the 4D brane, our universe, and are filled
with a substance induced by the 5D bulk. This substace is taken to have mass
density, charge density, pressure and is characterized by the prematter eq. of
state P+\rho=0. The interior is separated from the surrounding vacuum by a
boundary surface where the 4D metric tensor satisfies an a'la Schwarzschild
condition. Outside of the boundary holds the Schwarzschild, or the
Reissner-Nordstroem Metric, while the particles are characterized by mass,
radius, charge.
| gr-qc | fundamental particles regarded as the constituents of quarks and leptons are described classicaly in the framework of the weyldirac version of wessons induced matter theory there are neutral particles and particles having charge q13e the particles appear on the 4d brane our universe and are filled with a substance induced by the 5d bulk this substace is taken to have mass density charge density pressure and is characterized by the prematter eq of state prho0 the interior is separated from the surrounding vacuum by a boundary surface where the 4d metric tensor satisfies an ala schwarzschild condition outside of the boundary holds the schwarzschild or the reissnernordstroem metric while the particles are characterized by mass radius charge | [['fundamental', 'particles', 'regarded', 'as', 'the', 'constituents', 'of', 'quarks', 'and', 'leptons', 'are', 'described', 'classicaly', 'in', 'the', 'framework', 'of', 'the', 'weyldirac', 'version', 'of', 'wessons', 'induced', 'matter', 'theory', 'there', 'are', 'neutral', 'particles', 'and', 'particles', 'having', 'charge', 'q13e', 'the', 'particles', 'appear', 'on', 'the', '4d', 'brane', 'our', 'universe', 'and', 'are', 'filled', 'with', 'a', 'substance', 'induced', 'by', 'the', '5d', 'bulk', 'this', 'substace', 'is', 'taken', 'to', 'have', 'mass', 'density', 'charge', 'density', 'pressure', 'and', 'is', 'characterized', 'by', 'the', 'prematter', 'eq', 'of', 'state', 'prho0', 'the', 'interior', 'is', 'separated', 'from', 'the', 'surrounding', 'vacuum', 'by', 'a', 'boundary', 'surface', 'where', 'the', '4d', 'metric', 'tensor', 'satisfies', 'an', 'ala', 'schwarzschild', 'condition', 'outside', 'of', 'the', 'boundary', 'holds', 'the', 'schwarzschild', 'or', 'the', 'reissnernordstroem', 'metric', 'while', 'the', 'particles', 'are', 'characterized', 'by', 'mass', 'radius', 'charge']] | [-0.12488697461750624, 0.2710834368160379, -0.05200619310406702, 0.04792174882563164, 0.0019434008579212656, -0.11385733247568298, -0.04855749113422852, 0.2762855966388348, -0.17885791713238827, -0.3066965942021592, 0.03715305528852956, -0.32168034800062223, -0.042616942236366286, 0.0691295006524472, -0.034819794985066564, -0.017868265900428275, -0.03105846613678815, 0.0750984388370333, -0.06540571774322805, -0.17339960801681237, 0.3877405668234652, 0.03375776625138575, 0.20937363400090753, 0.0766007559182721, 0.09837851502483577, -0.01781908850534819, 0.00969823332395338, 0.08388075138542003, -0.12959080089266145, 0.05502875953607145, 0.15669141593804983, 0.0627266551642346, 0.16342511371892346, -0.44743503867981155, -0.2243212158292798, 0.0743714492127765, 0.10919683084856453, 0.07114001498017128, -0.08774441407565194, -0.3491799340450338, 0.07522932675367754, -0.142650208377745, -0.19935936968873388, -0.003981559341939699, -0.00469020103836166, -0.05605016440936846, -0.2476168266730383, 0.14328172086139343, 0.051530205925311226, -0.033708471768477466, -0.12475901105790399, -0.09739683338141601, -0.1256769583165546, 0.06930610336504676, 0.13663497219801815, 0.0428182321962335, 0.20716411498142406, -0.14318891431529274, -0.04869597968146471, 0.41749621646262575, -0.06914754957792216, -0.2305684625919509, 0.15196698421745428, -0.15698853815307043, -0.011731768505082332, 0.1448755540914135, 0.09995307742584762, 0.15712996809244423, -0.14134444629806758, 0.19636287836023517, -0.03777980289201618, 0.12593231141935185, 0.12885559485792847, 0.035753973618349325, 0.3281327424587549, 0.1403349101310596, 0.023076902336989797, 0.10439094559322777, -0.04897543720809543, -0.09299240175667885, -0.33855388472355635, -0.1927214074863254, -0.22271318376754476, 0.05758806326360043, -0.12640824257427344, -0.18532917200562743, 0.32817276217039243, 0.02725348026433494, 0.16489537757141598, -0.04586546001623252, 0.23825385930415774, 0.09347496059074599, 0.0568473310018557, 0.11338030946457625, 0.30233398122072686, 0.17630249501131143, 0.10492627609346528, -0.2030593179785813, -0.02401962113227845, 0.133799866694192] |
710.3924 | Convexity properties for generalized moment maps I | We study generalized moment maps for a Hamiltonian action on a connected
compact $H$-twisted generalized complex manifold introduced by Lin and Tolman
and prove the convexity and connectedness properties of the generalized moment
maps for a Hamiltonian torus action.
| math.DG math.SG | we study generalized moment maps for a hamiltonian action on a connected compact htwisted generalized complex manifold introduced by lin and tolman and prove the convexity and connectedness properties of the generalized moment maps for a hamiltonian torus action | [['we', 'study', 'generalized', 'moment', 'maps', 'for', 'a', 'hamiltonian', 'action', 'on', 'a', 'connected', 'compact', 'htwisted', 'generalized', 'complex', 'manifold', 'introduced', 'by', 'lin', 'and', 'tolman', 'and', 'prove', 'the', 'convexity', 'and', 'connectedness', 'properties', 'of', 'the', 'generalized', 'moment', 'maps', 'for', 'a', 'hamiltonian', 'torus', 'action']] | [-0.18292978377296373, 0.07447677547446428, -0.0705405671436053, 0.1275566451681348, -0.10167808654921082, -0.11626655705129871, -0.003722645566225625, 0.32436544180680543, -0.26352537557100636, -0.18399535806085437, 0.1098350380690625, -0.2566608285698562, -0.21060315242562538, 0.15268301772765625, -0.12120088617293498, 0.0018569098498958808, 0.06651082206278658, 0.06347619278881794, -0.12403848958321106, -0.19941601293901792, 0.43932119842905265, -0.017170606572061587, 0.21357447443864283, 0.10737241546695049, 0.21038957580159873, 0.04935293771231022, 0.019438235614544306, 0.09348189821228003, -0.15947311856330204, 0.1572112295872126, 0.11563453955862385, 0.07215420300594698, 0.13847557498285404, -0.348959250566669, -0.27349131986594355, 0.12347374393198735, -0.0016136464113608385, -0.03102227818602935, 0.0015193399023981048, -0.3456622957228086, 0.0695677421724376, -0.15103581356696594, -0.2260100108045989, -0.16936276910396722, 0.059470843141659714, 0.03428438897483433, -0.24518989098186678, 0.00040611307112834393, 0.17552385235635135, 0.1118627624013103, -0.11406000796705484, -0.05497331420580546, -0.03194375713475239, 0.02774548230883785, -0.059503015321798816, 0.06833622916840398, 0.09853528302688247, -0.05113562979759314, -0.08235262727173857, 0.35624121620248145, -0.10813095526865278, -0.306288248883226, 0.11977346231922126, -0.08341602060514, -0.23842172238689202, 0.05851919221906708, 0.12671815403378928, 0.19355169009082976, -0.14416123212625584, 0.18637089757995012, -0.07217293399839829, 0.04633065948310571, 0.10410270675157125, -0.06612062368255395, 0.13310035456640598, 0.03246865760630522, 0.1710273054165718, 0.17052630852095974, -0.016299618091673043, -0.12568673555954143, -0.2714242232629122, -0.16775557642372754, -0.1952065054852611, 0.18755971850493017, -0.13117972812622797, -0.1612925955500358, 0.42513602695021874, -0.002251612643400828, 0.19536462142012823, 0.11767925778687453, 0.19627401961658436, 0.11130577829093315, 0.035853551843991645, 0.09986975841606274, 0.11596661237760997, 0.26521957556430537, -0.024822655527924117, -0.20747105452494743, -0.05383628314265456, 0.2766922111622989] |
710.3925 | Regge behaviour of structure functions and solution of
Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution equations in
next-to-leading order at low-x | Deuteron and proton structure functions are derived from
Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations of
singlet and non-singlet structure functions in next-to-leading order (NLO) at
low-x assuming the Regge behaviour of singlet and non-singlet structure
functions at this limit and results are compared with New Muon Collaboration
(NMC) and E665 collaboration data sets.
| hep-ph | deuteron and proton structure functions are derived from dokshitzergribovlipatovaltarelliparisi dglap evolution equations of singlet and nonsinglet structure functions in nexttoleading order nlo at lowx assuming the regge behaviour of singlet and nonsinglet structure functions at this limit and results are compared with new muon collaboration nmc and e665 collaboration data sets | [['deuteron', 'and', 'proton', 'structure', 'functions', 'are', 'derived', 'from', 'dokshitzergribovlipatovaltarelliparisi', 'dglap', 'evolution', 'equations', 'of', 'singlet', 'and', 'nonsinglet', 'structure', 'functions', 'in', 'nexttoleading', 'order', 'nlo', 'at', 'lowx', 'assuming', 'the', 'regge', 'behaviour', 'of', 'singlet', 'and', 'nonsinglet', 'structure', 'functions', 'at', 'this', 'limit', 'and', 'results', 'are', 'compared', 'with', 'new', 'muon', 'collaboration', 'nmc', 'and', 'e665', 'collaboration', 'data', 'sets']] | [-0.03371411448746335, 0.16440890923909404, -0.1304524915530255, 0.20756578920911267, -0.050129403688890094, -0.015359880387846964, -0.0420121386939404, 0.3480338871332945, -0.14872362028223043, -0.25133866509057434, -0.04427333083232025, -0.37319820991479885, 0.0018759614550599864, 0.06874085745463769, 0.17950475938143393, 0.17645183212909044, 0.05811143614004786, -0.06351852627909359, -0.12774849936877394, -0.23704240172097057, 0.4408990309811106, 0.045980117265500275, 0.2595748930037314, 0.14901266099118135, 0.08968381289913155, 0.04062203762541507, -0.05675513419669633, -0.13625890038469257, -0.10277653840032644, 0.05903751775622368, 0.2811188416957271, 0.022206656452195318, 0.02849320324557815, -0.4227609529214747, -0.04947227538636356, 0.02572548434403086, 0.10890158499572791, 0.09306727380345703, 0.017070768492332862, -0.3122413222696267, 0.09669293523492183, -0.25517691209839255, -0.21182345388018908, -0.18329105462294584, -0.10087507482910273, 0.013779790053947591, -0.38262261531439007, 0.09247233057120706, -0.1362728955516336, 0.03137233791708508, -0.06500935671376247, -0.30642593820013253, -0.09582033536999542, 0.03847593200557372, 0.11798041211623772, 0.17378316453530215, 0.07157472010437108, -0.2282786518198383, -0.20494681080476856, 0.33764859005881875, -0.04927058368190831, -0.16276015728419901, 0.0598452699293072, -0.32970055928636416, -0.16379601362289167, 0.11939706890752502, 0.2000384024143511, 0.07275589458717435, -0.2637443480791761, 0.2034291940063293, 0.0028824553112773332, 0.16602111589528767, 0.11356885926615373, 0.06383770875468411, 0.08238584752760682, 0.1965479823011978, -0.054977264437897536, 0.0026702266643006426, 0.0065027771280238445, -0.16589334117723445, -0.3870502883458839, 0.002539311626962587, -0.04132413560999375, 0.03359552724834751, -0.1364329026669022, -0.07552257585613166, 0.37310631974947217, 0.0017185578780139193, 0.20033086329588995, 0.08984465959171455, 0.29654144904777113, 0.10661237591914102, 0.1185592101777301, 0.12226979683755952, 0.19305510048334504, 0.19053716564039683, 0.16808558211607091, -0.2800898773403948, 0.03881014788559839, 0.10062181353386418] |
710.3926 | From an Antiferromagnet to a Valence Bond Solid: Evidence for a First
Order Phase Transition | Using a loop-cluster algorithm we investigate the spin 1/2 Heisenberg
antiferromagnet on a square lattice with exchange coupling $J$ and an
additional four-spin interaction of strength $Q$. We confirm the existence of a
phase transition separating antiferromagnetism at $J/Q > J_c/Q$ from a valence
bond solid (VBS) state at $J/Q < J_c/Q$. Although our Monte Carlo data are
consistent with those of previous studies, we do not confirm the existence of a
deconfined quantum critical point. Instead, using a flowgram method on lattices
as large as $80^2$, we find evidence for a weak first order phase transition.
We also present a detailed study of the antiferromagnetic phase. For $J/Q >
J_c/Q$ the staggered magnetization, the spin stiffness, and the spinwave
velocity of the antiferromagnet are determined by fitting Monte Carlo data to
analytic results from the systematic low-energy effective field theory for
magnons. Finally, we also investigate the physics of the VBS state at $J/Q <
J_c/Q$, and we show that long but finite antiferromagnetic correlations are
still present.
| cond-mat.str-el | using a loopcluster algorithm we investigate the spin 12 heisenberg antiferromagnet on a square lattice with exchange coupling j and an additional fourspin interaction of strength q we confirm the existence of a phase transition separating antiferromagnetism at jq j_cq from a valence bond solid vbs state at jq j_cq although our monte carlo data are consistent with those of previous studies we do not confirm the existence of a deconfined quantum critical point instead using a flowgram method on lattices as large as 802 we find evidence for a weak first order phase transition we also present a detailed study of the antiferromagnetic phase for jq j_cq the staggered magnetization the spin stiffness and the spinwave velocity of the antiferromagnet are determined by fitting monte carlo data to analytic results from the systematic lowenergy effective field theory for magnons finally we also investigate the physics of the vbs state at jq j_cq and we show that long but finite antiferromagnetic correlations are still present | [['using', 'a', 'loopcluster', 'algorithm', 'we', 'investigate', 'the', 'spin', '12', 'heisenberg', 'antiferromagnet', 'on', 'a', 'square', 'lattice', 'with', 'exchange', 'coupling', 'j', 'and', 'an', 'additional', 'fourspin', 'interaction', 'of', 'strength', 'q', 'we', 'confirm', 'the', 'existence', 'of', 'a', 'phase', 'transition', 'separating', 'antiferromagnetism', 'at', 'jq', 'j_cq', 'from', 'a', 'valence', 'bond', 'solid', 'vbs', 'state', 'at', 'jq', 'j_cq', 'although', 'our', 'monte', 'carlo', 'data', 'are', 'consistent', 'with', 'those', 'of', 'previous', 'studies', 'we', 'do', 'not', 'confirm', 'the', 'existence', 'of', 'a', 'deconfined', 'quantum', 'critical', 'point', 'instead', 'using', 'a', 'flowgram', 'method', 'on', 'lattices', 'as', 'large', 'as', '802', 'we', 'find', 'evidence', 'for', 'a', 'weak', 'first', 'order', 'phase', 'transition', 'we', 'also', 'present', 'a', 'detailed', 'study', 'of', 'the', 'antiferromagnetic', 'phase', 'for', 'jq', 'j_cq', 'the', 'staggered', 'magnetization', 'the', 'spin', 'stiffness', 'and', 'the', 'spinwave', 'velocity', 'of', 'the', 'antiferromagnet', 'are', 'determined', 'by', 'fitting', 'monte', 'carlo', 'data', 'to', 'analytic', 'results', 'from', 'the', 'systematic', 'lowenergy', 'effective', 'field', 'theory', 'for', 'magnons', 'finally', 'we', 'also', 'investigate', 'the', 'physics', 'of', 'the', 'vbs', 'state', 'at', 'jq', 'j_cq', 'and', 'we', 'show', 'that', 'long', 'but', 'finite', 'antiferromagnetic', 'correlations', 'are', 'still', 'present']] | [-0.15230728726918724, 0.21402284498546964, -0.06807356340048665, 0.06805470381496531, -0.03471967828544703, -0.11051466761326248, 0.11267714138410873, 0.41165125260524676, -0.21364995717832988, -0.2472562187492396, 0.07881013150609127, -0.33638920650789234, -0.09182099739237773, 0.13240364265106053, 0.12186556580250688, 0.015473718684392445, 0.009723766805660543, 0.007017069414370891, -0.14052117274029916, -0.18326454822990026, 0.2729253899531834, 0.0007008448292529492, 0.2583390668367925, 0.08357011497613381, 0.06352769107642499, 0.05343084818203792, 0.0858371636886714, 0.00022966020994565704, -0.227525568122942, 0.037125504097661396, 0.20475370768549372, -0.07246592583304101, 0.16048203662715174, -0.3903906469318, -0.19249406070307348, 0.05239125957578477, 0.13749054395029264, 0.1970952494133433, -0.05297252697672582, -0.2957557975229892, 0.03303966569065145, -0.22372215284655492, -0.1346913169935402, -0.15163401636492574, -0.057394001130579096, 0.003908338069838161, -0.2852979442104697, 0.11560605415513485, 0.06592457371509888, 0.1404433066956699, -0.04936388550806001, -0.16379004196320293, -0.06789601233674947, 0.0686136838472025, 0.03241849221698375, 0.10000759596992849, 0.047990833832459015, -0.1142519160540718, -0.1858929184999204, 0.33616365222542577, -0.05485987618572615, -0.09926079147350692, 0.1556993712417104, -0.17167039958647254, -0.13923482086057914, 0.13907433026893573, 0.10577100473314975, 0.07338666870456302, -0.10345541080742171, 0.09695507377618924, -0.03608050407757136, 0.21429576960226493, -0.061728861349437274, 0.003275756687490326, 0.23384684693689148, 0.18202675442549993, 0.0231952751013027, 0.17317519830680933, -0.13217557004483585, -0.17200845201132875, -0.28633404496605647, -0.14466469244410593, -0.25522363701214396, 0.05590089587080222, -0.11252538205634195, -0.17119505477109642, 0.33152051827672757, 0.19536351391474124, 0.15955009187825703, 0.00978022836374514, 0.2120046704160896, 0.05941360038775725, -0.004688973549866315, 0.07413251943406508, 0.2561648873781616, 0.15858166762345444, 0.08415393139320342, -0.2983788418527128, 0.02316993824629621, 0.07972754721783779] |
710.3927 | On repulsive gravitational actions | In particular instances and in particular regions the Einsteinian gravity
exerts a repulsive action -- and without any cosmological term. This fact could
have an interest for the explanation of the dark energy, and for the
gravitational collapses.
| physics.gen-ph | in particular instances and in particular regions the einsteinian gravity exerts a repulsive action and without any cosmological term this fact could have an interest for the explanation of the dark energy and for the gravitational collapses | [['in', 'particular', 'instances', 'and', 'in', 'particular', 'regions', 'the', 'einsteinian', 'gravity', 'exerts', 'a', 'repulsive', 'action', 'and', 'without', 'any', 'cosmological', 'term', 'this', 'fact', 'could', 'have', 'an', 'interest', 'for', 'the', 'explanation', 'of', 'the', 'dark', 'energy', 'and', 'for', 'the', 'gravitational', 'collapses']] | [-0.17386582456025723, 0.11263896624685102, -0.10518196344728002, 0.10698803321370301, -0.12021466178467145, -0.10713008618787737, -0.030549979063908796, 0.27232433140680595, -0.20518587831709836, -0.32273932935267285, 0.04781761555932462, -0.25115410920635267, -0.12242594159938194, 0.18487506261649164, -0.048904391785932554, -0.061022710231309, 0.026638563568200414, 0.10465218433858575, -0.03778612666536827, -0.21904879551053652, 0.3744920365311004, 0.06945175691381902, 0.18300573865102754, 0.11299647534316457, 0.11459349692371246, -0.04292822522866364, 0.017001597865207774, 0.04103838985571889, -0.12672358116990812, 0.03507664948198441, 0.17510654390915423, 0.09547216248874729, 0.3071394143437312, -0.45188969252882777, -0.2999147506229378, 0.20832045522291917, 0.12051915644189796, 0.20169157786546527, -0.1249861889392943, -0.301547750679625, -0.00029969625678416843, -0.20652166195213795, -0.09442826858847528, -0.03899244220952529, 0.07968219797554854, -0.033995586271221574, -0.25094529201050064, 0.07170556201221975, 0.07749509773645047, -0.050716962614977684, -0.15084126214119228, -0.030730966365317237, 0.020037485664156644, 0.09289932808511563, 0.12309283833648707, 0.07476811976851644, 0.12600049769153465, -0.24348727190187452, -0.09314899171727735, 0.4517339713670112, -0.09862395474133459, -0.22197964842859153, 0.2048549104381252, -0.15154083944051652, -0.13810742039837548, 0.08810446418922495, 0.1265390816371183, 0.07411442767526652, -0.10856477038406238, 0.17319015400465326, -0.008101795472808787, 0.15492247528321035, 0.12381955611242636, 0.04543400540746547, 0.36634328306929487, 0.12378880639585692, 0.05581425304675626, 0.093868351868681, -0.09349406460879019, -0.07658187491265503, -0.34403690997813197, -0.17057507441102251, -0.1453576161450631, 0.02264564426464809, -0.16521938537079148, -0.14721090739240517, 0.3399593935071214, 0.11648032222119337, 0.12276969011873007, 0.05226169863866793, 0.2665544499114558, 0.07638260221574455, 0.08708599593641388, 0.0559487208925389, 0.33249571416023616, 0.04237430175212589, 0.09707241250529282, -0.22901271041986104, 0.05455762176849955, 0.032001368500090936] |
710.3928 | Message passing for the coloring problem: Gallager meets Alon and Kahale | Message passing algorithms are popular in many combinatorial optimization
problems. For example, experimental results show that {\em survey propagation}
(a certain message passing algorithm) is effective in finding proper
$k$-colorings of random graphs in the near-threshold regime. In 1962 Gallager
introduced the concept of Low Density Parity Check (LDPC) codes, and suggested
a simple decoding algorithm based on message passing. In 1994 Alon and Kahale
exhibited a coloring algorithm and proved its usefulness for finding a
$k$-coloring of graphs drawn from a certain planted-solution distribution over
$k$-colorable graphs. In this work we show an interpretation of Alon and
Kahale's coloring algorithm in light of Gallager's decoding algorithm, thus
showing a connection between the two problems - coloring and decoding. This
also provides a rigorous evidence for the usefulness of the message passing
paradigm for the graph coloring problem. Our techniques can be applied to
several other combinatorial optimization problems and networking-related
issues.
| math.CO cs.DM math.PR | message passing algorithms are popular in many combinatorial optimization problems for example experimental results show that em survey propagation a certain message passing algorithm is effective in finding proper kcolorings of random graphs in the nearthreshold regime in 1962 gallager introduced the concept of low density parity check ldpc codes and suggested a simple decoding algorithm based on message passing in 1994 alon and kahale exhibited a coloring algorithm and proved its usefulness for finding a kcoloring of graphs drawn from a certain plantedsolution distribution over kcolorable graphs in this work we show an interpretation of alon and kahales coloring algorithm in light of gallagers decoding algorithm thus showing a connection between the two problems coloring and decoding this also provides a rigorous evidence for the usefulness of the message passing paradigm for the graph coloring problem our techniques can be applied to several other combinatorial optimization problems and networkingrelated issues | [['message', 'passing', 'algorithms', 'are', 'popular', 'in', 'many', 'combinatorial', 'optimization', 'problems', 'for', 'example', 'experimental', 'results', 'show', 'that', 'em', 'survey', 'propagation', 'a', 'certain', 'message', 'passing', 'algorithm', 'is', 'effective', 'in', 'finding', 'proper', 'kcolorings', 'of', 'random', 'graphs', 'in', 'the', 'nearthreshold', 'regime', 'in', '1962', 'gallager', 'introduced', 'the', 'concept', 'of', 'low', 'density', 'parity', 'check', 'ldpc', 'codes', 'and', 'suggested', 'a', 'simple', 'decoding', 'algorithm', 'based', 'on', 'message', 'passing', 'in', '1994', 'alon', 'and', 'kahale', 'exhibited', 'a', 'coloring', 'algorithm', 'and', 'proved', 'its', 'usefulness', 'for', 'finding', 'a', 'kcoloring', 'of', 'graphs', 'drawn', 'from', 'a', 'certain', 'plantedsolution', 'distribution', 'over', 'kcolorable', 'graphs', 'in', 'this', 'work', 'we', 'show', 'an', 'interpretation', 'of', 'alon', 'and', 'kahales', 'coloring', 'algorithm', 'in', 'light', 'of', 'gallagers', 'decoding', 'algorithm', 'thus', 'showing', 'a', 'connection', 'between', 'the', 'two', 'problems', 'coloring', 'and', 'decoding', 'this', 'also', 'provides', 'a', 'rigorous', 'evidence', 'for', 'the', 'usefulness', 'of', 'the', 'message', 'passing', 'paradigm', 'for', 'the', 'graph', 'coloring', 'problem', 'our', 'techniques', 'can', 'be', 'applied', 'to', 'several', 'other', 'combinatorial', 'optimization', 'problems', 'and', 'networkingrelated', 'issues']] | [-0.1759768050239497, 0.0011477293833072385, -0.12877517273316058, 0.0819735558714554, -0.10300000825097684, -0.2145229807702472, 0.12112755746253438, 0.4174256796722074, -0.31089790809090956, -0.3532325649583662, 0.07337682603974827, -0.23741102659118338, -0.20803137120438386, 0.1856554931193288, -0.13605802711351095, 0.09701932806834716, 0.12327065496906839, 0.017586793536572037, -0.02302245182963324, -0.3054000456367912, 0.20142266926406002, 0.047356806953462796, 0.24568664814452515, 0.10993812138818808, 0.08517855811609283, 0.06087893133706136, -0.027855048468965735, 0.03896112981051005, -0.11861883325690468, 0.07083511216223014, 0.2934819691172625, 0.2670592290468866, 0.27966450186874214, -0.34832928997363793, -0.20897186641908577, 0.1194894973855667, 0.16456676079306398, 0.13756884019696028, -0.09937234984701374, -0.2679032933382267, 0.09807280293112067, -0.125820527449439, -0.02842965121758548, 0.014468224567354884, 0.020304117810032826, 0.010340373859287717, -0.280413923501918, -0.033720645596937125, 0.09422431979957666, 0.04664775098648828, 0.03618298298002825, -0.15114258230991057, 0.0895183674355566, 0.042783290547369096, -0.01158387671190163, 0.054203059675323, 0.03633226491385014, -0.08831832055442941, -0.23054273160508004, 0.36205153017481034, 0.028153246809803956, -0.15752629253925202, 0.11979031477381501, 0.0037978161749747785, -0.20568143190010577, 0.15166909860626393, 0.17685414841272742, 0.16795640550087745, -0.10624839519024701, 0.09779153162231229, -0.10932131011960902, 0.11298462158585018, 0.13722824323859467, 0.020164010253407666, 0.11336880341656758, 0.13451002749010316, 0.10358194783416488, 0.19109194796191012, -0.016945721545395115, -0.09369198500172461, -0.24663595479560663, -0.09928641540652795, -0.24467160003385632, -0.0156264476811614, -0.17580000135195725, -0.1789777833697814, 0.4011846935263256, 0.1600047310380064, 0.15598060111546688, 0.13573635271372828, 0.30156293161043496, 0.04670486152187821, -0.026884503791586974, 0.20575727909690122, 0.16038074875108874, 0.22551665139837643, 0.025238235129870952, -0.1763611736878866, 0.09531750077085972, 0.13146880043299264] |
710.3929 | Supersymmetry, quark confinement and the harmonic oscillator | We study some quantum systems described by noncanonical commutation relations
formally expressed as [q,p]=ihbar(I + chi H), where H is the associated
(harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian
(constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple
(chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like
wave equation.
| quant-ph | we study some quantum systems described by noncanonical commutation relations formally expressed as qpihbari chi h where h is the associated harmonic oscillatorlike hamiltonian of the system and chi is a hermitian constant operator ie hchi0 in passing we also consider a simple chi0 canonical model in the framework of a relativistic kleingordonlike wave equation | [['we', 'study', 'some', 'quantum', 'systems', 'described', 'by', 'noncanonical', 'commutation', 'relations', 'formally', 'expressed', 'as', 'qpihbari', 'chi', 'h', 'where', 'h', 'is', 'the', 'associated', 'harmonic', 'oscillatorlike', 'hamiltonian', 'of', 'the', 'system', 'and', 'chi', 'is', 'a', 'hermitian', 'constant', 'operator', 'ie', 'hchi0', 'in', 'passing', 'we', 'also', 'consider', 'a', 'simple', 'chi0', 'canonical', 'model', 'in', 'the', 'framework', 'of', 'a', 'relativistic', 'kleingordonlike', 'wave', 'equation']] | [-0.23175605305663818, 0.18220584505712087, -0.03931894265818146, 0.09235300860402859, -0.06644172146740668, -0.1999279883479313, -0.02317043874008616, 0.29365091451953323, -0.2921940521249231, -0.2276114781896742, 0.0025684673400630928, -0.28011119604673024, -0.17906515799322217, 0.16366430180024286, 0.021767305968030583, 0.056401359585096254, 0.06732641329180519, 0.14655997918233415, -0.10780766103768123, -0.14754327842174977, 0.34352524265677686, 6.817104426687056e-05, 0.13232270471821977, -0.0168418089490173, 0.12191390731143502, 0.029071447971048502, 0.0360032379943526, 0.0031574606930591027, -0.14605002660515173, 0.0457613271274516, 0.18157151257970705, 0.09355811289740058, 0.21456403120087003, -0.36988923241788485, -0.20671578412348368, 0.1318949027478976, 0.13113232598341298, 0.02364879017168621, 0.0032307635641322945, -0.27302188939362204, 0.004952229936947642, -0.22688316112770787, -0.1727209456423122, -0.08019610431994188, 0.0245135717867118, -0.008015601706849236, -0.26358174994798766, 0.10523109580335242, 0.11934076481551495, 0.038691015035476325, -0.057688709576877786, -0.05864247758565295, -0.03800693475904892, -0.024459798574307055, -0.04723753331598105, 0.038682820596117176, 0.07468661096579624, -0.15464415756177227, -0.07125090414060736, 0.4535758265487428, -0.14227944111697516, -0.27853118243433955, 0.08459193192703544, -0.11257517254331482, -0.14018575069582406, 0.03784960436300849, 0.13910107977055716, 0.1531495473716619, -0.17744388508628, 0.24084116695879823, -0.08501863537574811, 0.0873049449281029, 0.045303420128546795, -0.021609662197319406, 0.1629672925567852, 0.04894425600485982, 0.0005774153747929717, 0.15762906604147744, 0.042054427443906875, -0.15741262504092926, -0.38375114284034045, -0.22106372380523748, -0.19724440621212125, 0.1096112501973897, -0.07974478287840886, -0.1688518224038043, 0.37422830467375945, 0.058084789417543504, 0.2003123621502452, 0.012203773988832562, 0.2179618372388606, 0.24633950172299696, 0.0050905904785360934, 0.06000340847685089, 0.1833315894544731, 0.22625891959628547, 0.06283656071941808, -0.23059016626047077, -0.07111052571321433, 0.13489126607353957] |
710.393 | Interactions of Heavy Hadrons using Regge Phenomenology and the Quark
Gluon String Model | The search for stable heavy exotic hadrons is a promising way to observe new
physics processes at collider experiments. The discovery potential for such
particles can be enhanced or suppressed by their interactions with detector
material. This paper describes a model for the interactions in matter of stable
hadrons containing an exotic quark of charges $\pm {1/3}e$ or $\pm {2/3}e$
using Regge phenomenology and the Quark Gluon String Model. The influence of
such interactions on searches at the LHC is also discussed.
| hep-ph | the search for stable heavy exotic hadrons is a promising way to observe new physics processes at collider experiments the discovery potential for such particles can be enhanced or suppressed by their interactions with detector material this paper describes a model for the interactions in matter of stable hadrons containing an exotic quark of charges pm 13e or pm 23e using regge phenomenology and the quark gluon string model the influence of such interactions on searches at the lhc is also discussed | [['the', 'search', 'for', 'stable', 'heavy', 'exotic', 'hadrons', 'is', 'a', 'promising', 'way', 'to', 'observe', 'new', 'physics', 'processes', 'at', 'collider', 'experiments', 'the', 'discovery', 'potential', 'for', 'such', 'particles', 'can', 'be', 'enhanced', 'or', 'suppressed', 'by', 'their', 'interactions', 'with', 'detector', 'material', 'this', 'paper', 'describes', 'a', 'model', 'for', 'the', 'interactions', 'in', 'matter', 'of', 'stable', 'hadrons', 'containing', 'an', 'exotic', 'quark', 'of', 'charges', 'pm', '13e', 'or', 'pm', '23e', 'using', 'regge', 'phenomenology', 'and', 'the', 'quark', 'gluon', 'string', 'model', 'the', 'influence', 'of', 'such', 'interactions', 'on', 'searches', 'at', 'the', 'lhc', 'is', 'also', 'discussed']] | [-0.08624747723749862, 0.2907177289997912, -0.13548763656190868, 0.12571352880189718, -0.05370081105076412, -0.1645392810630544, 0.021098201644391093, 0.3094521713238664, -0.22839784575626254, -0.303063256756925, -0.005603093649658215, -0.3641134849522354, -0.01956440983680872, 0.11967485433262659, 0.07997936225019214, 0.04350689455594232, 0.06191611932817756, 0.030071908642151732, -0.03666893010050422, -0.18879899815315518, 0.28543368843384087, 0.06971953861506247, 0.18672667716334507, 0.1407833823695688, 0.07222517112570974, 0.023716403114632134, -0.0035915166116887477, -0.04728555422639701, -0.09856243024398459, 0.06465092436524063, 0.2078343283217514, 0.016011127480873612, 0.10285246871389085, -0.3777991295565011, -0.16024676835868598, 0.1311505583921311, 0.1752640172134994, 0.1173934712324564, -0.1550401428603658, -0.33367688066848533, 0.11174963747446494, -0.22150153530159647, -0.18580755355722475, -0.10041492436331038, 0.01737519606334589, -0.04719689076130346, -0.307435528023123, 0.0696926967509903, -0.028308230208051278, 0.0005218103235564763, -0.01902780701156433, -0.18061678238758228, -0.0212751583468805, -0.00948696896411115, 0.08713565807982643, 0.05849928136846823, 0.16860764044359688, -0.23930529140009796, -0.1948092267933733, 0.42282905988963093, -0.05651909558715799, -0.15593385866207138, 0.22155452491829125, -0.1507741311883054, -0.13980613004915962, 0.12553039142044214, 0.25145076819491097, 0.12370188939725844, -0.18779309453987858, 0.12737310146728373, 0.0016604104851622406, 0.12484846331133712, 0.04063775488913695, 0.09439073895990122, 0.34156836467658785, 0.27742451629562376, -0.000420999043144104, 0.06368758314624201, -0.06969477783138978, -0.0707094839138047, -0.3712823472281055, -0.12824528749532452, -0.08874705138548118, 0.011855969762020722, -0.05297200067132774, -0.10574223669018687, 0.3901967765002443, 0.10218093322203835, 0.20422823868816856, -0.06278666112253942, 0.26723842175177687, 0.04867087842942011, 0.06946715216965857, 0.04275319121956184, 0.3027235064882694, 0.10112729871066332, 0.11914148647906031, -0.2174983745236404, 0.03959958228316703, 0.0469144031933577] |
710.3931 | Geometric phases in semiconductor spin qubits: Manipulations and
decoherence | We describe the effect of geometric phases induced by either classical or
quantum electric fields acting on single electron spins in quantum dots in the
presence of spin-orbit coupling. On one hand, applied electric fields can be
used to control the geometric phases, which allows performing quantum coherent
spin manipulations without using high-frequency magnetic fields. On the other
hand, fluctuating fields induce random geometric phases that lead to spin
relaxation and dephasing, thus limiting the use of such spins as qubits. We
estimate the decay rates due to piezoelectric phonons and conduction electrons
in the circuit, both representing dominant electric noise sources with
characteristically differing power spectra.
| cond-mat.mes-hall | we describe the effect of geometric phases induced by either classical or quantum electric fields acting on single electron spins in quantum dots in the presence of spinorbit coupling on one hand applied electric fields can be used to control the geometric phases which allows performing quantum coherent spin manipulations without using highfrequency magnetic fields on the other hand fluctuating fields induce random geometric phases that lead to spin relaxation and dephasing thus limiting the use of such spins as qubits we estimate the decay rates due to piezoelectric phonons and conduction electrons in the circuit both representing dominant electric noise sources with characteristically differing power spectra | [['we', 'describe', 'the', 'effect', 'of', 'geometric', 'phases', 'induced', 'by', 'either', 'classical', 'or', 'quantum', 'electric', 'fields', 'acting', 'on', 'single', 'electron', 'spins', 'in', 'quantum', 'dots', 'in', 'the', 'presence', 'of', 'spinorbit', 'coupling', 'on', 'one', 'hand', 'applied', 'electric', 'fields', 'can', 'be', 'used', 'to', 'control', 'the', 'geometric', 'phases', 'which', 'allows', 'performing', 'quantum', 'coherent', 'spin', 'manipulations', 'without', 'using', 'highfrequency', 'magnetic', 'fields', 'on', 'the', 'other', 'hand', 'fluctuating', 'fields', 'induce', 'random', 'geometric', 'phases', 'that', 'lead', 'to', 'spin', 'relaxation', 'and', 'dephasing', 'thus', 'limiting', 'the', 'use', 'of', 'such', 'spins', 'as', 'qubits', 'we', 'estimate', 'the', 'decay', 'rates', 'due', 'to', 'piezoelectric', 'phonons', 'and', 'conduction', 'electrons', 'in', 'the', 'circuit', 'both', 'representing', 'dominant', 'electric', 'noise', 'sources', 'with', 'characteristically', 'differing', 'power', 'spectra']] | [-0.15649899446066015, 0.27246719337216463, -0.024673236451311923, 0.027971498711169565, -0.05576973646078433, -0.17683241458905635, 0.025479654753232533, 0.38327171086011647, -0.2753552329143353, -0.2924217896657848, 0.022895886954442363, -0.26139952998543614, -0.08450849617615987, 0.2538065950181683, 0.01710360021021426, -0.01509753253450182, -0.036160145076775105, -0.01027960600940702, -0.04130792786436869, -0.19685234226260298, 0.28111982508752903, -0.012998393570316659, 0.30280871106590207, 0.023369335550945426, 0.09430853536169732, 0.06346589810362904, 0.07647496479711383, 0.028153951453898, -0.0597088425871062, 0.06550415657965519, 0.20803892154411943, -0.07799514457061191, 0.158005609690586, -0.55177971153198, -0.19840419848632312, 0.09406474334509851, 0.11255528468874754, 0.19026289813799313, -0.06109499358397987, -0.29208149030917785, -0.007872647000911915, -0.13272913700518, -0.08304681205495357, -0.1375773037853433, -0.032689509103858025, 0.032330799186341116, -0.28387597162781336, 0.10239515614164905, 0.09334441979859616, 0.04969963887227682, -0.06006404728831062, -0.07446276077078046, -0.015126794789891655, 0.1391352874065845, 0.06439854019260574, 0.025763924146575905, 0.24187278010769286, -0.1364405258149605, -0.2006809268164161, 0.34822482304978314, -0.07424781011051942, -0.19496526501128433, 0.19050878494386084, -0.15260682417290333, -0.05293612895428995, 0.11761499880421385, 0.17554683295278767, 0.09793654699574843, -0.12077900087765514, 0.0810047558924427, 0.09406203162534355, 0.1608330982119263, 0.063705944123234, 0.1413823222854636, 0.2662689145741479, 0.06227094358895148, 0.07041166180518464, 0.14893818024717811, -0.13449217671763466, -0.0891110023644657, -0.22507312572691765, -0.11032863777940309, -0.22479403662826064, 0.1537736835104803, -0.0756381009136888, -0.17237793549266425, 0.4315520812644162, 0.15045101114518278, 0.12433488782773787, -0.08605284207809508, 0.29978561769544243, 0.1396144484202421, 0.07878016338413843, 0.03871269014916409, 0.23953141285123947, 0.2484657139687094, 0.03896635745991474, -0.31998977691770714, 0.03105925917532948, -0.0013600159001266846] |
710.3932 | Complementarity of perturbations driving insulator-to-metal transition
in a charge ordered manganite | Modulation of charge carrier dynamics and hence electrical conductivity of
solids by photoexcitation has been a rich field of research with numerous
applications. Similarly, electric and magnetic field assisted enhancement of
conductivity are of fundamental importance and technological use. Hole doped
manganites of the type (A$_{1-x}$B$_{x})$MnO$_{3}$, where A and B are rare and
alkaline earth metals respectively have the distinction of showing all three
effects. Here we establish the complementarity of the electric, magnetic and
photon fields in driving an insulator-metal transition in epitaxial thin films
of La$_{0.175}$Pr$_{0.45}$Ca$_{0.375}$MnO$_{3}$ whose electrical ground state
is insulating. Both pulsed and CW lasers cause a giant photon flux dependent
enhancement of conductivity. It is further observed that electric and magnetic
fields trigger the persistent enhancement of conductivity whose magnitude can
be accentuated by application of these fields in parallel.
| cond-mat.str-el cond-mat.mtrl-sci | modulation of charge carrier dynamics and hence electrical conductivity of solids by photoexcitation has been a rich field of research with numerous applications similarly electric and magnetic field assisted enhancement of conductivity are of fundamental importance and technological use hole doped manganites of the type a_1xb_xmno_3 where a and b are rare and alkaline earth metals respectively have the distinction of showing all three effects here we establish the complementarity of the electric magnetic and photon fields in driving an insulatormetal transition in epitaxial thin films of la_0175pr_045ca_0375mno_3 whose electrical ground state is insulating both pulsed and cw lasers cause a giant photon flux dependent enhancement of conductivity it is further observed that electric and magnetic fields trigger the persistent enhancement of conductivity whose magnitude can be accentuated by application of these fields in parallel | [['modulation', 'of', 'charge', 'carrier', 'dynamics', 'and', 'hence', 'electrical', 'conductivity', 'of', 'solids', 'by', 'photoexcitation', 'has', 'been', 'a', 'rich', 'field', 'of', 'research', 'with', 'numerous', 'applications', 'similarly', 'electric', 'and', 'magnetic', 'field', 'assisted', 'enhancement', 'of', 'conductivity', 'are', 'of', 'fundamental', 'importance', 'and', 'technological', 'use', 'hole', 'doped', 'manganites', 'of', 'the', 'type', 'a_1xb_xmno_3', 'where', 'a', 'and', 'b', 'are', 'rare', 'and', 'alkaline', 'earth', 'metals', 'respectively', 'have', 'the', 'distinction', 'of', 'showing', 'all', 'three', 'effects', 'here', 'we', 'establish', 'the', 'complementarity', 'of', 'the', 'electric', 'magnetic', 'and', 'photon', 'fields', 'in', 'driving', 'an', 'insulatormetal', 'transition', 'in', 'epitaxial', 'thin', 'films', 'of', 'la_0175pr_045ca_0375mno_3', 'whose', 'electrical', 'ground', 'state', 'is', 'insulating', 'both', 'pulsed', 'and', 'cw', 'lasers', 'cause', 'a', 'giant', 'photon', 'flux', 'dependent', 'enhancement', 'of', 'conductivity', 'it', 'is', 'further', 'observed', 'that', 'electric', 'and', 'magnetic', 'fields', 'trigger', 'the', 'persistent', 'enhancement', 'of', 'conductivity', 'whose', 'magnitude', 'can', 'be', 'accentuated', 'by', 'application', 'of', 'these', 'fields', 'in', 'parallel']] | [-0.17027204304485394, 0.25014890535461937, -0.003976280303826009, -0.016663140195961938, -0.026172975701878647, -0.12610376546075358, 0.06611401004860304, 0.43775515258312225, -0.2453236228653363, -0.3232898120873405, 0.05903664574856849, -0.28487819881367504, -0.13405144026264884, 0.22203936109571418, 0.02156296307991322, -0.014723288644581362, -0.059019910665298984, -0.033839546875762086, -0.035585775525883344, -0.17762243411594764, 0.2545720941940309, 0.004323767265304923, 0.3335477748808724, 0.104817904059292, 0.049130675939604976, -0.029807952208150374, 0.08558581150451997, 0.050966745326505566, -0.07965814963507657, 0.06529640875007481, 0.24535499968306912, -0.05850897445973653, 0.1973987083945115, -0.47100277609520946, -0.22599170373094485, 0.04437689435199127, 0.11971194991497043, 0.10343388826704472, -0.13542098743154815, -0.24789628421859747, 0.04774309294228267, -0.13570603755953953, -0.09197054497584266, -0.1085630316038693, 0.04814576816086875, 0.05742457853341335, -0.2694611530317715, 0.08828659411659814, 0.0777506818828572, 0.13031235105477104, -0.11467584794653314, -0.1088739342469358, -0.05837812161605273, 0.06311499497886482, 0.09441722585308485, 0.06709050531394052, 0.2262166332579533, -0.18133991111868195, -0.13492137830200276, 0.3348181730808508, -0.05637779115100524, -0.05755127378900472, 0.1684205857301621, -0.22411079469480014, -0.044820478073972506, 0.1896895012587197, 0.13586917337418808, 0.11072524954193741, -0.14320117270195842, 0.08681840582967813, 0.0368054123119192, 0.14137327924538823, 0.06925021846519601, 0.12129555482599408, 0.28214088289060146, 0.19834223506566054, 0.007917441009312756, 0.13161130545265215, -0.11658562673605923, 0.004143351394879191, -0.1928702613156765, -0.19671468027776345, -0.19354786363489843, 0.11123480373307278, -0.06873332727542918, -0.20104910905080797, 0.4116147314863546, 0.16050388464788184, 0.10738417132988684, -0.13531777522652724, 0.27315441732946083, 0.12871107369437254, 0.04854539921726065, 0.021785720296141068, 0.29741341144693806, 0.21926979271386912, 0.15281498675679708, -0.27285502344734014, 0.06576469197827287, -0.02788463426855414] |
710.3933 | Energy-momentum tensor in thermal strong-field QED with unstable vacuum | The mean value of the one-loop energy-momentum tensor in thermal QED with
electric-like background that creates particles from vacuum is calculated. The
problem differes essentially from calculations of effective actions (similar to
that of Heisenberg--Euler) in backgrounds that do not violate the stability of
vacuum. The role of a constant electric background in the violation of both the
stability of vacuum and the thermal character of particle distribution is
investigated. Restrictions on the electric field and its duration under which
one can neglect the back-reaction of created particles are established.
| hep-th | the mean value of the oneloop energymomentum tensor in thermal qed with electriclike background that creates particles from vacuum is calculated the problem differes essentially from calculations of effective actions similar to that of heisenbergeuler in backgrounds that do not violate the stability of vacuum the role of a constant electric background in the violation of both the stability of vacuum and the thermal character of particle distribution is investigated restrictions on the electric field and its duration under which one can neglect the backreaction of created particles are established | [['the', 'mean', 'value', 'of', 'the', 'oneloop', 'energymomentum', 'tensor', 'in', 'thermal', 'qed', 'with', 'electriclike', 'background', 'that', 'creates', 'particles', 'from', 'vacuum', 'is', 'calculated', 'the', 'problem', 'differes', 'essentially', 'from', 'calculations', 'of', 'effective', 'actions', 'similar', 'to', 'that', 'of', 'heisenbergeuler', 'in', 'backgrounds', 'that', 'do', 'not', 'violate', 'the', 'stability', 'of', 'vacuum', 'the', 'role', 'of', 'a', 'constant', 'electric', 'background', 'in', 'the', 'violation', 'of', 'both', 'the', 'stability', 'of', 'vacuum', 'and', 'the', 'thermal', 'character', 'of', 'particle', 'distribution', 'is', 'investigated', 'restrictions', 'on', 'the', 'electric', 'field', 'and', 'its', 'duration', 'under', 'which', 'one', 'can', 'neglect', 'the', 'backreaction', 'of', 'created', 'particles', 'are', 'established']] | [-0.13234851766754402, 0.21382316022985773, -0.1000488914204029, 0.06332461709376383, -0.027993286530790706, -0.061466208700969645, -0.018621250845784885, 0.30573215766736633, -0.19174316725327392, -0.30399998325823147, 0.0446766847496057, -0.27313466671477543, -0.05822326728467191, 0.14706747290898073, -0.011498921404310157, 0.02343920295406656, 0.001096355090482851, 0.08341673307455658, -0.049608211522252206, -0.20368718665637328, 0.3566815040042896, 0.08749726856273882, 0.3036832013873781, 0.11371119984417756, 0.11467769205716721, -0.000843882445622696, -0.003113605798839518, 0.0715477072079195, -0.06391050585594978, 0.055852790466467905, 0.13443800140423387, 0.06684486808129743, 0.19138081712920343, -0.45830604898628224, -0.19738433607383055, 0.12386848042938817, 0.0936080581937613, 0.14097306836956297, -0.0649588264255481, -0.26523604660472844, 0.06865036764883259, -0.13293466618901978, -0.14254441652237698, -0.06068748129620688, -0.007461813805635307, -0.03168613507590267, -0.26643188304027143, 0.09854867441018551, 0.0369417912567432, -0.007305071498950802, -0.12497150948339174, -0.11728904537563578, -0.049057407325573184, 0.12330970084660928, 0.14654254003459316, 0.0007018736783373222, 0.20948545582948275, -0.2256712449002969, -0.09103142140495978, 0.4274102214493611, -0.13719862627828222, -0.2168462136655711, 0.10291319775782275, -0.17579168256037356, -0.07771877591822589, 0.1648972877667526, 0.13036277926307213, 0.11356548543266032, -0.14579811471441154, 0.16008653702983486, 0.009513170751376768, 0.1313388503635344, 0.09211516246890251, 0.06151142975399166, 0.22708320845797492, 0.060579023849784155, 0.023808950613242355, 0.1292991283182264, -0.039413706911637855, -0.10513979761620586, -0.3894288151033139, -0.12356052735004197, -0.1722582228785234, 0.09274464340509685, -0.09758878150252427, -0.22097332830007158, 0.3799164240572895, 0.17390702172506894, 0.10965985971505576, 0.007535036701677639, 0.2742520448218068, 0.1139466786244361, 0.060485207462641466, 0.062207809628479264, 0.36183524625689795, 0.15534119087198142, 0.10332267392254069, -0.2995774651029974, 0.019230639635260855, 0.054389735621013] |
710.3934 | New mechanism of generation of large-scale magnetic field in a sheared
turbulent plasma | A review of recent studies on a new mechanism of generation of large-scale
magnetic field in a sheared turbulent plasma is presented. This mechanism is
associated with the shear-current effect which is related to the W x J-term in
the mean electromotive force. This effect causes the generation of the
large-scale magnetic field even in a nonrotating and nonhelical homogeneous
sheared turbulent convection whereby the alpha effect vanishes. It is found
that turbulent convection promotes the shear-current dynamo instability, i.e.,
the heat flux causes positive contribution to the shear-current effect.
However, there is no dynamo action due to the shear-current effect for small
hydrodynamic and magnetic Reynolds numbers even in a turbulent convection, if
the spatial scaling for the turbulent correlation time is k^{-2}, where k is
the small-scale wave number. We discuss here also the nonlinear mean-field
dynamo due to the shear-current effect and take into account the transport of
magnetic helicity as a dynamical nonlinearity. The magnetic helicity flux
strongly affects the magnetic field dynamics in the nonlinear stage of the
dynamo action. When the magnetic helicity flux is not small, the saturated
level of the mean magnetic field is of the order of the equipartition field
determined by the turbulent kinetic energy. The obtained results are important
for elucidation of origin of the large-scale magnetic fields in astrophysical
and cosmic sheared turbulent plasma.
| astro-ph | a review of recent studies on a new mechanism of generation of largescale magnetic field in a sheared turbulent plasma is presented this mechanism is associated with the shearcurrent effect which is related to the w x jterm in the mean electromotive force this effect causes the generation of the largescale magnetic field even in a nonrotating and nonhelical homogeneous sheared turbulent convection whereby the alpha effect vanishes it is found that turbulent convection promotes the shearcurrent dynamo instability ie the heat flux causes positive contribution to the shearcurrent effect however there is no dynamo action due to the shearcurrent effect for small hydrodynamic and magnetic reynolds numbers even in a turbulent convection if the spatial scaling for the turbulent correlation time is k2 where k is the smallscale wave number we discuss here also the nonlinear meanfield dynamo due to the shearcurrent effect and take into account the transport of magnetic helicity as a dynamical nonlinearity the magnetic helicity flux strongly affects the magnetic field dynamics in the nonlinear stage of the dynamo action when the magnetic helicity flux is not small the saturated level of the mean magnetic field is of the order of the equipartition field determined by the turbulent kinetic energy the obtained results are important for elucidation of origin of the largescale magnetic fields in astrophysical and cosmic sheared turbulent plasma | [['a', 'review', 'of', 'recent', 'studies', 'on', 'a', 'new', 'mechanism', 'of', 'generation', 'of', 'largescale', 'magnetic', 'field', 'in', 'a', 'sheared', 'turbulent', 'plasma', 'is', 'presented', 'this', 'mechanism', 'is', 'associated', 'with', 'the', 'shearcurrent', 'effect', 'which', 'is', 'related', 'to', 'the', 'w', 'x', 'jterm', 'in', 'the', 'mean', 'electromotive', 'force', 'this', 'effect', 'causes', 'the', 'generation', 'of', 'the', 'largescale', 'magnetic', 'field', 'even', 'in', 'a', 'nonrotating', 'and', 'nonhelical', 'homogeneous', 'sheared', 'turbulent', 'convection', 'whereby', 'the', 'alpha', 'effect', 'vanishes', 'it', 'is', 'found', 'that', 'turbulent', 'convection', 'promotes', 'the', 'shearcurrent', 'dynamo', 'instability', 'ie', 'the', 'heat', 'flux', 'causes', 'positive', 'contribution', 'to', 'the', 'shearcurrent', 'effect', 'however', 'there', 'is', 'no', 'dynamo', 'action', 'due', 'to', 'the', 'shearcurrent', 'effect', 'for', 'small', 'hydrodynamic', 'and', 'magnetic', 'reynolds', 'numbers', 'even', 'in', 'a', 'turbulent', 'convection', 'if', 'the', 'spatial', 'scaling', 'for', 'the', 'turbulent', 'correlation', 'time', 'is', 'k2', 'where', 'k', 'is', 'the', 'smallscale', 'wave', 'number', 'we', 'discuss', 'here', 'also', 'the', 'nonlinear', 'meanfield', 'dynamo', 'due', 'to', 'the', 'shearcurrent', 'effect', 'and', 'take', 'into', 'account', 'the', 'transport', 'of', 'magnetic', 'helicity', 'as', 'a', 'dynamical', 'nonlinearity', 'the', 'magnetic', 'helicity', 'flux', 'strongly', 'affects', 'the', 'magnetic', 'field', 'dynamics', 'in', 'the', 'nonlinear', 'stage', 'of', 'the', 'dynamo', 'action', 'when', 'the', 'magnetic', 'helicity', 'flux', 'is', 'not', 'small', 'the', 'saturated', 'level', 'of', 'the', 'mean', 'magnetic', 'field', 'is', 'of', 'the', 'order', 'of', 'the', 'equipartition', 'field', 'determined', 'by', 'the', 'turbulent', 'kinetic', 'energy', 'the', 'obtained', 'results', 'are', 'important', 'for', 'elucidation', 'of', 'origin', 'of', 'the', 'largescale', 'magnetic', 'fields', 'in', 'astrophysical', 'and', 'cosmic', 'sheared', 'turbulent', 'plasma']] | [-0.23028166010662648, 0.27744956821227956, -0.021962349348396592, 0.1069728495935349, -0.08570516298512673, -0.0051927134998357004, -0.04179087636448377, 0.2911684791376171, -0.2860873939626051, -0.313739606616112, 0.027988489592587987, -0.18547960296422614, -0.12303362188003628, 0.2052459827916845, 0.02838990003523722, -0.016212407403483377, 0.014473851409584152, 0.038054475715317955, 0.05299062551662689, -0.1684158633491931, 0.344522485721741, 0.09361978498415247, 0.29098148789232087, 0.06277704553831105, 0.07539025302234609, -0.11317861043184634, -0.019357976843644164, 0.08986834433358327, -0.13922848756813605, -0.014303664004623858, 0.1405394461404623, -0.02693455034209646, 0.28224513722188044, -0.4824402333789431, -0.25961712943039733, 0.054215413013440183, 0.14507249098856298, 0.1137368584528722, -0.06073934853950565, -0.20624920203086747, 0.07250461689262461, -0.11023796960892798, -0.09152936351493793, -0.044593406117941554, 0.05330518212847296, 0.004782978720884511, -0.34368585781771194, 0.14765827209506888, 0.10136632174570258, 0.11644712507733004, -0.11687810278901484, -0.060179667974888156, -0.07919363093982755, 0.08062847803794446, 0.15618492807138018, 0.10144484180360064, 0.20038165288113996, -0.21728440077843525, -0.04532578725144226, 0.39160662579589184, -0.06321324100841529, -0.17593191816835702, 0.14612576761798093, -0.2372434205969021, -0.09530958716872981, 0.19182439759554984, 0.17008698637189293, 0.0823508210962358, -0.0804111721230165, 0.05063203980824787, -0.057768450512082535, 0.11807263537775725, 0.0013459467090072884, -0.028534750667899286, 0.24615334940711614, 0.1916210847892345, 0.05330923999828674, 0.11550200752299938, -0.17670222670092264, -0.07054117922691744, -0.2785835949934821, -0.12971014158998048, -0.14959702718038673, 0.11037723383113157, -0.07620403172465791, -0.20937135737735482, 0.36435641131808866, 0.19135982407652566, 0.116521885915272, -0.04421123102939877, 0.32692437628448934, 0.1509566504863169, 0.058567903396071846, 0.13146185565253604, 0.3076054688802698, 0.2616240715956217, 0.1903516700742684, -0.3256427361320836, 0.04465674902199133, 0.0582558135357809] |
710.3935 | Magnetic Reversal Time in Open Long Range Systems | Topological phase space disconnection has been recently found to be a general
phenomenon in isolated anisotropic spin systems. It sets a general framework to
understand the emergence of ferromagnetism in finite magnetic systems starting
from microscopic models without phenomenological on-site barriers. Here we
study its relevance for finite systems with long range interacting potential in
contact with a thermal bath. We show that, even in this case, the induced
magnetic reversal time is exponentially large in the number of spins, thus
determining {\it stable} (to any experimental observation time) ferromagnetic
behavior. Moreover, the explicit temperature dependence of the magnetic
reversal time obtained from the microcanonical results, is found to be in good
agreement with numerical simulations. Also, a simple and suggestive expression,
indicating the Topological Energy Threshold at which the disconnection occurs,
as a real energy barrier for many body systems, is obtained analytically for
low temperature.
| cond-mat.stat-mech cond-mat.mes-hall | topological phase space disconnection has been recently found to be a general phenomenon in isolated anisotropic spin systems it sets a general framework to understand the emergence of ferromagnetism in finite magnetic systems starting from microscopic models without phenomenological onsite barriers here we study its relevance for finite systems with long range interacting potential in contact with a thermal bath we show that even in this case the induced magnetic reversal time is exponentially large in the number of spins thus determining it stable to any experimental observation time ferromagnetic behavior moreover the explicit temperature dependence of the magnetic reversal time obtained from the microcanonical results is found to be in good agreement with numerical simulations also a simple and suggestive expression indicating the topological energy threshold at which the disconnection occurs as a real energy barrier for many body systems is obtained analytically for low temperature | [['topological', 'phase', 'space', 'disconnection', 'has', 'been', 'recently', 'found', 'to', 'be', 'a', 'general', 'phenomenon', 'in', 'isolated', 'anisotropic', 'spin', 'systems', 'it', 'sets', 'a', 'general', 'framework', 'to', 'understand', 'the', 'emergence', 'of', 'ferromagnetism', 'in', 'finite', 'magnetic', 'systems', 'starting', 'from', 'microscopic', 'models', 'without', 'phenomenological', 'onsite', 'barriers', 'here', 'we', 'study', 'its', 'relevance', 'for', 'finite', 'systems', 'with', 'long', 'range', 'interacting', 'potential', 'in', 'contact', 'with', 'a', 'thermal', 'bath', 'we', 'show', 'that', 'even', 'in', 'this', 'case', 'the', 'induced', 'magnetic', 'reversal', 'time', 'is', 'exponentially', 'large', 'in', 'the', 'number', 'of', 'spins', 'thus', 'determining', 'it', 'stable', 'to', 'any', 'experimental', 'observation', 'time', 'ferromagnetic', 'behavior', 'moreover', 'the', 'explicit', 'temperature', 'dependence', 'of', 'the', 'magnetic', 'reversal', 'time', 'obtained', 'from', 'the', 'microcanonical', 'results', 'is', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'numerical', 'simulations', 'also', 'a', 'simple', 'and', 'suggestive', 'expression', 'indicating', 'the', 'topological', 'energy', 'threshold', 'at', 'which', 'the', 'disconnection', 'occurs', 'as', 'a', 'real', 'energy', 'barrier', 'for', 'many', 'body', 'systems', 'is', 'obtained', 'analytically', 'for', 'low', 'temperature']] | [-0.16284179787601338, 0.18619019291395333, -0.07062797319479794, 0.08053587908463768, -0.02694034396011864, -0.13440404228587338, 0.050735416308957705, 0.3845937958329308, -0.2520588375699269, -0.31087691831358133, 0.052882275089532846, -0.26814162980711254, -0.13098939986848812, 0.21339414420784736, 0.032937856245355134, 0.03285657802911881, 0.03987551572018198, 0.0490816731233986, -0.07182927009630569, -0.1945599381111841, 0.277006718883553, 0.04349794456054976, 0.2750485076071682, 0.11435872413294047, 0.06588157024044468, -0.013330590594433197, 0.08514518017063336, 0.08511437994224451, -0.13169610520158967, 0.012375534816207935, 0.2506252456606941, -0.0357463575644596, 0.21487194148912317, -0.43831857429424514, -0.25979379092210103, 0.11876877398565919, 0.1299058145726239, 0.1792563493862482, -0.09423474473308543, -0.25860213926600506, 0.07918062012921386, -0.17728690171874045, -0.17604123620034456, -0.09721550147950357, 0.0654293099532322, -0.011134223462887057, -0.26161066285606954, 0.10189207272067964, 0.0523095305971041, 0.09691467217239393, -0.10948232775886677, -0.0532149874785801, -0.038979241312449786, 0.09874626732238119, 0.06962411481574582, 0.04015468472937996, 0.11737403932794117, -0.09794031430018407, -0.11269710635525637, 0.35532457825607383, -0.03679028654559737, -0.14620931997772885, 0.22335899147667548, -0.18305193523236482, -0.11876885368026235, 0.16300798428215588, 0.12122949778235384, 0.09868819764055008, -0.13886431162720736, 0.09217973178403839, -0.004843045165445529, 0.1450098559535964, 0.019306916908240643, 0.03235631228972434, 0.23872269221207723, 0.20720456703407628, 0.04693619585651461, 0.14728088054463875, -0.05445196356016154, -0.13896808125313093, -0.26518664119423047, -0.1381077623540428, -0.23606466889685515, 0.06498640638437173, -0.09192598150830421, -0.17019148546644822, 0.36631385312688086, 0.15066998396195522, 0.20351752495633907, 0.03779611211241584, 0.27111420782954515, 0.14095624916011557, 0.045461710650144385, 0.05302207581825605, 0.21929419272877024, 0.13165423431794862, 0.1339549575140383, -0.2607195867798893, 0.07061768655164712, 0.0053310178613866725] |
710.3936 | Improved Hardy-Sobolev inequalities | The main result includes features of a Hardy-type inequality and an
inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the
method of proof of a recent improved Sobolev inequality derived by M. Ledoux
which brings out the connection between Sobolev embeddings and heat kernel
bounds. Here Ledoux's technique is applied to the operator $L:= {\bf{x}} \cdot
\nabla$ and the analysis requires the determination of the operator semigroup
$\{e^{-tL^{*}L}\}_{t>0}$ and its properties.
| math.SP math-ph math.MP | the main result includes features of a hardytype inequality and an inequality of either sobolev or gagliardonirenberg type it is inspired by the method of proof of a recent improved sobolev inequality derived by m ledoux which brings out the connection between sobolev embeddings and heat kernel bounds here ledouxs technique is applied to the operator l bfx cdot nabla and the analysis requires the determination of the operator semigroup etll_t0 and its properties | [['the', 'main', 'result', 'includes', 'features', 'of', 'a', 'hardytype', 'inequality', 'and', 'an', 'inequality', 'of', 'either', 'sobolev', 'or', 'gagliardonirenberg', 'type', 'it', 'is', 'inspired', 'by', 'the', 'method', 'of', 'proof', 'of', 'a', 'recent', 'improved', 'sobolev', 'inequality', 'derived', 'by', 'm', 'ledoux', 'which', 'brings', 'out', 'the', 'connection', 'between', 'sobolev', 'embeddings', 'and', 'heat', 'kernel', 'bounds', 'here', 'ledouxs', 'technique', 'is', 'applied', 'to', 'the', 'operator', 'l', 'bfx', 'cdot', 'nabla', 'and', 'the', 'analysis', 'requires', 'the', 'determination', 'of', 'the', 'operator', 'semigroup', 'etll_t0', 'and', 'its', 'properties']] | [-0.10498380504089268, 0.017916106263515284, -0.09130458815712227, 0.07631841167003835, -0.11293156864759449, -0.16850644142736923, 0.06147967737920786, 0.2777003034030738, -0.33094087365555436, -0.2698459941869895, 0.14040405040428247, -0.31594104465250283, -0.11466868706876794, 0.24379170294978644, -0.08345196599600045, 0.06676395304982666, 0.04866928289874061, 0.003754266652546517, -0.10777532198300509, -0.20790243633601763, 0.3889935117163887, 0.017533003977716784, 0.22494054263878666, 0.1142875236165646, 0.08296523655077828, -0.035072313391999024, -0.07122620130723266, -0.06679671632814897, -0.20939499881016474, 0.19700880238008112, 0.17278421708471972, 0.12530433815227796, 0.3160739551132468, -0.376083083144606, -0.18695816741171867, 0.1576206300420406, 0.09498871087849345, -0.04801466070555712, -0.01801541457207848, -0.34889702810204193, 0.03826795568791767, -0.06420253713500418, -0.16867233616976093, -0.1081098948082287, 0.02634975712822929, 0.01356794532031229, -0.34676034603114814, 0.13372621528026074, 0.19492341347089778, 0.020626939715154162, -0.08250413764402117, -0.1079862455148505, 0.01670781415823388, 0.019079426038780645, 0.041908183332838835, 0.11151001763160098, 0.07291248318905087, -0.057846228100920785, -0.08625606170613064, 0.27827929321370304, -0.08010218879335547, -0.22161779302644402, 0.08000609509595862, -0.11085135108242704, -0.10000183297423264, 0.008622553512096813, 0.08337858818114212, 0.16801577782232877, -0.11284508371138818, 0.19241143749350656, -0.05364802796138476, 0.12217680789683372, 0.06167626349025802, 0.04100687054228293, -0.005529530499487707, 0.11053479680861665, 0.15833674928760283, 0.13414368185227457, -0.03253200887511038, -0.06795009910065221, -0.34117878602230794, -0.21630055535176437, -0.22508669032855597, 0.11552483372052187, -0.18722273445008833, -0.12816850436462268, 0.321285133390394, 0.04502067439360161, 0.17018010967398342, 0.054491254400576734, 0.20268863235115495, 0.13599715873037707, 0.07022615246576806, 0.10182649290750492, 0.1943332315869119, 0.2516020210906353, 0.15902147217564386, -0.17852189409672536, 0.04342394632969868, 0.2620760527477689] |
710.3937 | An Analytic Proof of the Matrix Spectral Factorization Theorem | An analytic proof is proposed of Wiener's theorem on factorization of
positive definite matrix-functions.
| math.CV | an analytic proof is proposed of wieners theorem on factorization of positive definite matrixfunctions | [['an', 'analytic', 'proof', 'is', 'proposed', 'of', 'wieners', 'theorem', 'on', 'factorization', 'of', 'positive', 'definite', 'matrixfunctions']] | [-0.17724950505154474, -0.07369319325308814, -0.25142951495945454, 0.09261592481717733, -0.15005841252527066, -0.1755420227668115, -0.029090940952301025, 0.2769841293671301, -0.19388012002621377, -0.0969241853537304, 0.10534997031624828, -0.24447938533765928, -0.1644378025084734, 0.23823046178690024, -0.1094374100544623, 0.08397087747497219, 0.014592367423964398, 0.0427481255361012, -0.08958781590419156, -0.25035682001284193, 0.4155788522745882, -0.016149219510095594, 0.20723523429062748, 0.27174098630036625, 0.20962739549577236, 0.11790383567235299, -0.10557885554486088, -0.13687165001673357, -0.09141661173530988, 0.12289245912273015, 0.2459787375160626, 0.19166265198561763, 0.29959006203405025, -0.2892725181632808, -0.01532073797924178, 0.1409108308809144, 0.09381923605022686, -0.003097213405583586, -0.10203548498351925, -0.33526043753538814, 0.19889004320637987, -0.13409903519121663, -0.17807886470109224, -0.17480142354699119, 0.06582867141280856, -0.04834085995597499, -0.35309334471821785, 0.06557406006114823, 0.29036126006394625, 0.07238339672663383, -0.08489535469561815, -0.22706333175301552, 0.10753461612122399, -0.03664884456832494, 0.04937663107245628, 0.058260224119294435, 0.03668763767927885, 0.06565510042543922, -0.19325340991573675, 0.19199760584160686, -0.03786016661407692, -0.26834926328488756, 0.10317284946462937, -0.0838409183946039, -0.15299403561013086, 0.12666247093251773, 0.12170893456121641, 0.20691729709506035, -0.029713547256376063, 0.22182925364800862, -0.2659650200179645, 0.1764866869364466, 0.14297319117135235, -0.061036785798413415, 0.06502459264759507, 0.05282025584684951, 0.1411303063588483, 0.0688816834507244, 0.13242998927099897, -0.13340896291525237, -0.3833093558038984, -0.24309032463601657, -0.35221959544079645, 0.2182794104862426, -0.2113828563264438, -0.305307104651417, 0.35214806135211674, -0.0063786611426621675, 0.11191812104412488, 0.18716793773429735, 0.2951959956969534, 0.22171251362721836, -0.0029590552606220755, -0.03018572923195149, 0.09470437679971967, 0.3294500316094075, 0.04519408412410745, -0.12233733655219632, 0.05771554088486092, 0.28510544129780363] |
710.3938 | Multiplicity Fluctuations in Limited Segments of Momentum Space in
Statistical Models | Multiplicity fluctuations in limited segments of momentum space are
calculated for a classical pion gas within the statistical model. Results for
the grand canonical, canonical, and micro-canonical ensemble are obtained,
compared and discussed. We demonstrate that even in the large volume limit
correlations between macroscopic subsystems due to energy and momentum
conservation persist. Based on the micro-canonical formulation we make
qualitative predictions for the rapidity and transverse momentum dependence of
multiplicity fluctuations. The resulting effects are of similar magnitude as
the predicted enhancement due to a phase transition from a quark-gluon plasma
to a hadron gas phase, or due to the critical point of strongly interacting
matter, and qualitatively agree with recently published preliminary
multiplicity fluctuation data of the NA49 SPS experiment.
| nucl-th | multiplicity fluctuations in limited segments of momentum space are calculated for a classical pion gas within the statistical model results for the grand canonical canonical and microcanonical ensemble are obtained compared and discussed we demonstrate that even in the large volume limit correlations between macroscopic subsystems due to energy and momentum conservation persist based on the microcanonical formulation we make qualitative predictions for the rapidity and transverse momentum dependence of multiplicity fluctuations the resulting effects are of similar magnitude as the predicted enhancement due to a phase transition from a quarkgluon plasma to a hadron gas phase or due to the critical point of strongly interacting matter and qualitatively agree with recently published preliminary multiplicity fluctuation data of the na49 sps experiment | [['multiplicity', 'fluctuations', 'in', 'limited', 'segments', 'of', 'momentum', 'space', 'are', 'calculated', 'for', 'a', 'classical', 'pion', 'gas', 'within', 'the', 'statistical', 'model', 'results', 'for', 'the', 'grand', 'canonical', 'canonical', 'and', 'microcanonical', 'ensemble', 'are', 'obtained', 'compared', 'and', 'discussed', 'we', 'demonstrate', 'that', 'even', 'in', 'the', 'large', 'volume', 'limit', 'correlations', 'between', 'macroscopic', 'subsystems', 'due', 'to', 'energy', 'and', 'momentum', 'conservation', 'persist', 'based', 'on', 'the', 'microcanonical', 'formulation', 'we', 'make', 'qualitative', 'predictions', 'for', 'the', 'rapidity', 'and', 'transverse', 'momentum', 'dependence', 'of', 'multiplicity', 'fluctuations', 'the', 'resulting', 'effects', 'are', 'of', 'similar', 'magnitude', 'as', 'the', 'predicted', 'enhancement', 'due', 'to', 'a', 'phase', 'transition', 'from', 'a', 'quarkgluon', 'plasma', 'to', 'a', 'hadron', 'gas', 'phase', 'or', 'due', 'to', 'the', 'critical', 'point', 'of', 'strongly', 'interacting', 'matter', 'and', 'qualitatively', 'agree', 'with', 'recently', 'published', 'preliminary', 'multiplicity', 'fluctuation', 'data', 'of', 'the', 'na49', 'sps', 'experiment']] | [-0.07775220820645909, 0.21114414352847294, -0.14996792047406685, 0.15612841922728743, 0.027077313176676877, -0.07189075013653176, 0.013293992300502589, 0.3109292316281038, -0.1903521418247036, -0.30664175849591124, -0.013555609683132136, -0.3377959613428741, -0.016033123722528946, 0.15778225142371338, 0.004435968789516292, 0.0936354722934546, 0.0929321439280251, 0.014360519857947394, -0.11550977890898348, -0.17222417387958677, 0.3313512999094931, 0.10420814337071459, 0.2987873085896622, 0.09856214247964566, 0.09483700486178678, 0.013014100474824548, -0.03504055537298688, 0.09029121628698138, -0.1341061666175474, 0.03801010834572256, 0.23398712787349693, -0.0011203129199470897, 0.16789066619392423, -0.39362747541659315, -0.1758175490683586, 0.12733899792618134, 0.12975736229191917, 0.11863249253298415, -0.045300329261512846, -0.24574576831254802, 0.03163722731897294, -0.1951702857107596, -0.15474796848520483, -0.11505262046808103, -0.0010457643590195745, 0.062350379406153913, -0.2632949013629409, 0.1701036569448646, 0.018854812005168347, 0.07724561641511858, -0.06359305148409894, -0.16800631057532106, -0.06418495374678283, 0.05714829096028612, 0.08920884412831673, 0.06825338830774436, 0.19026814162212072, -0.1474938413713196, -0.08948510120905263, 0.3841339810980392, -0.03002544750505295, -0.14802726723452206, 0.19806089859310783, -0.21741350889053257, -0.11053225117903508, 0.1662797091650914, 0.15431894911558092, 0.04568574634060019, -0.14306559775894906, 0.0347531400807011, -0.009893501104909132, 0.1587741306487215, 0.04126620787905804, 0.08129697781224109, 0.2538232400585882, 0.1759367409433223, -0.027510910852216793, 0.11874233088532432, -0.08837900931954568, -0.20422274267423104, -0.318891445075574, -0.11504798717644127, -0.19296994953431557, 0.027133353295942127, -0.08271758093393206, -0.1256304366101862, 0.3563544531085635, 0.15818280974721735, 0.2752162896279917, 0.03696046122082616, 0.28743173121703697, 0.10281432397400228, 0.03324467599483543, 0.0751455366348115, 0.2814833621311261, 0.17271492501995603, 0.16934436650614668, -0.2749480764003715, 0.0031879347191787646, 0.06600314239612551] |
710.3939 | Rotational symmetry breaking in baby Skyrme models | We consider multisolitons with charges 1 =< B =< 5 in the baby Skyrme model
for the one-parametric family of potentials U=\mu^2 (1-\phi_3)^s with 0<s =< 4.
This class of potentials is a generalization of the `old' (s=1) and
`holomorphic' (s=4) baby Skyrme models. We find that for charge one, stable
solutions exist for every value of s and they are rotationally-symmetric. For
higher charges, stable solutions exist only below s \approx 2. In the
charge-two sector the stable solutions are always rotationally-symmetric and
ring-like. For charge three and above, rotational symmetry is exhibited only in
the small s region; above a certain critical value of s, this symmetry is
broken and a strong repulsion between the constituent one-Skyrmions becomes
apparent. We also compute the spatial energy distributions of these solutions.
| hep-th | we consider multisolitons with charges 1 b 5 in the baby skyrme model for the oneparametric family of potentials umu2 1phi_3s with 0s 4 this class of potentials is a generalization of the old s1 and holomorphic s4 baby skyrme models we find that for charge one stable solutions exist for every value of s and they are rotationallysymmetric for higher charges stable solutions exist only below s approx 2 in the chargetwo sector the stable solutions are always rotationallysymmetric and ringlike for charge three and above rotational symmetry is exhibited only in the small s region above a certain critical value of s this symmetry is broken and a strong repulsion between the constituent oneskyrmions becomes apparent we also compute the spatial energy distributions of these solutions | [['we', 'consider', 'multisolitons', 'with', 'charges', '1', 'b', '5', 'in', 'the', 'baby', 'skyrme', 'model', 'for', 'the', 'oneparametric', 'family', 'of', 'potentials', 'umu2', '1phi_3s', 'with', '0s', '4', 'this', 'class', 'of', 'potentials', 'is', 'a', 'generalization', 'of', 'the', 'old', 's1', 'and', 'holomorphic', 's4', 'baby', 'skyrme', 'models', 'we', 'find', 'that', 'for', 'charge', 'one', 'stable', 'solutions', 'exist', 'for', 'every', 'value', 'of', 's', 'and', 'they', 'are', 'rotationallysymmetric', 'for', 'higher', 'charges', 'stable', 'solutions', 'exist', 'only', 'below', 's', 'approx', '2', 'in', 'the', 'chargetwo', 'sector', 'the', 'stable', 'solutions', 'are', 'always', 'rotationallysymmetric', 'and', 'ringlike', 'for', 'charge', 'three', 'and', 'above', 'rotational', 'symmetry', 'is', 'exhibited', 'only', 'in', 'the', 'small', 's', 'region', 'above', 'a', 'certain', 'critical', 'value', 'of', 's', 'this', 'symmetry', 'is', 'broken', 'and', 'a', 'strong', 'repulsion', 'between', 'the', 'constituent', 'oneskyrmions', 'becomes', 'apparent', 'we', 'also', 'compute', 'the', 'spatial', 'energy', 'distributions', 'of', 'these', 'solutions']] | [-0.16294548787921667, 0.17237720640748738, -0.00854234192892909, 0.10913434591982514, -0.006491115272045135, -0.1919731530211866, 0.011739580884575844, 0.35107786241173744, -0.20086755614727736, -0.2881956641972065, 0.08761607811134309, -0.3181843619579449, -0.06141319442167878, 0.10251055193692446, -0.0009589982761535794, -0.017164564186241477, -0.024188748002052306, 0.08790371179580689, -0.10264976214268245, -0.18926610370725394, 0.31611431352049113, -0.07529248215258122, 0.23040245990362018, 0.06451389259845018, 0.07472339141648263, -0.054509345224127176, 0.0821551966778934, 0.007742076981812716, -0.1737668303999235, 0.08853157325834037, 0.18272442037370637, 0.04361860585119575, 0.19201408061012626, -0.375277276213048, -0.18647375422460027, 0.17169941345974804, 0.12421392806991935, 0.1281602731347084, -0.04731494076829404, -0.23561397345736623, 0.1433274938929826, -0.18951798722147942, -0.22270807892922312, -0.09026499107480049, 0.11963087014108896, 0.03715517722070217, -0.24842718079686166, 0.13102862761705183, 0.07871583875268698, 0.0190209287336329, -0.13807425943017007, -0.13414608814939857, -0.0977928755171597, 0.050559827318415046, 0.09257330444827676, 0.03704683554172516, 0.06633828186383471, -0.16823898643255233, -0.07044827642664313, 0.3461143722101115, -0.03980958836339414, -0.20724120965600012, 0.15120665849745274, -0.160365767467767, -0.1526070346236229, 0.1572256963327527, 0.061821541652083395, 0.16435490894317628, -0.06731023012846708, 0.1314735726355575, -0.06998557773884385, 0.17930295830219983, 0.11542130881547928, 0.011245657436549664, 0.23915953910723328, 0.12959297033771872, 0.0954028603695333, 0.08108484075963497, -0.07516874101385475, -0.1186029276587069, -0.3635482546985149, -0.11800943944975734, -0.11527382537769154, 0.05429742493107915, -0.10371458182984497, -0.1515674221664667, 0.4090203574113548, 0.07418939763121307, 0.19845586831867695, 0.03439589623361826, 0.1543212510496378, 0.10073808915168046, 0.0819880371899344, 0.1090455368719995, 0.2404856538437307, 0.09300530713517219, 0.06446577856503427, -0.1706174654997885, -0.05793863479793072, 0.09382353632245213] |
710.394 | A classical picture of the role of vacancies and interstitials in
Helium-4 | Motivated by experimental hints for supersolidity in Helium-4, we perform
Monte Carlo simulations of vacancies and interstitials in a classical two-and
three-dimensional Lennard-Jones solid. We confirm a strong binding energy of
vacancies which is of the order of Lennard-Jones attraction. This is
reminiscent of what has been found for vacancies in Quantum Monte Carlo
simulations. In addition, we find a strong attraction and large binding energy
of interstitials in two-dimensional simulations. This is mainly due to the
formation of a pair of dislocations by clustering interstitials, in which
minimizes the elastic deformation energy. We interpret the results in light of
the properties of Helium-4.
| cond-mat.other | motivated by experimental hints for supersolidity in helium4 we perform monte carlo simulations of vacancies and interstitials in a classical twoand threedimensional lennardjones solid we confirm a strong binding energy of vacancies which is of the order of lennardjones attraction this is reminiscent of what has been found for vacancies in quantum monte carlo simulations in addition we find a strong attraction and large binding energy of interstitials in twodimensional simulations this is mainly due to the formation of a pair of dislocations by clustering interstitials in which minimizes the elastic deformation energy we interpret the results in light of the properties of helium4 | [['motivated', 'by', 'experimental', 'hints', 'for', 'supersolidity', 'in', 'helium4', 'we', 'perform', 'monte', 'carlo', 'simulations', 'of', 'vacancies', 'and', 'interstitials', 'in', 'a', 'classical', 'twoand', 'threedimensional', 'lennardjones', 'solid', 'we', 'confirm', 'a', 'strong', 'binding', 'energy', 'of', 'vacancies', 'which', 'is', 'of', 'the', 'order', 'of', 'lennardjones', 'attraction', 'this', 'is', 'reminiscent', 'of', 'what', 'has', 'been', 'found', 'for', 'vacancies', 'in', 'quantum', 'monte', 'carlo', 'simulations', 'in', 'addition', 'we', 'find', 'a', 'strong', 'attraction', 'and', 'large', 'binding', 'energy', 'of', 'interstitials', 'in', 'twodimensional', 'simulations', 'this', 'is', 'mainly', 'due', 'to', 'the', 'formation', 'of', 'a', 'pair', 'of', 'dislocations', 'by', 'clustering', 'interstitials', 'in', 'which', 'minimizes', 'the', 'elastic', 'deformation', 'energy', 'we', 'interpret', 'the', 'results', 'in', 'light', 'of', 'the', 'properties', 'of', 'helium4']] | [-0.103161312174052, 0.1824305651915403, -0.08569575555156916, 0.08401552551591661, 0.04433920914799763, -0.05330557065406957, 0.07040596332696553, 0.38998473337135064, -0.24271262250840664, -0.3017420948286039, -0.037918116590634994, -0.32522507031591463, -0.13534197933264436, 0.10284710241607033, 0.03659160625046262, 0.04532995000660706, 0.07758027300196073, -0.04231914150743531, -0.08312909500315212, -0.23144734659805322, 0.24861113608886415, 0.1191873542859237, 0.2562936933693261, 0.13776274741842195, 0.013242864166386425, -0.009877203907728052, 0.04048988892911719, 0.055703871350627966, -0.23954505265618747, 0.09758803698843202, 0.21773487776338768, -0.044841635665551834, 0.23298557850424773, -0.4779160319146915, -0.23758365752963492, 0.1035621326479416, 0.16494265402882144, 0.19523141787906823, -0.13870216278323474, -0.23634592210873961, 0.06989173891689951, -0.16705616276997787, -0.1369642703323804, -0.07538118668330404, 0.01607158745621116, 0.10364981720116563, -0.25702055998576373, 0.1550159098025268, 0.028080586003712736, 0.061663876162268795, -0.11613953472652401, -0.08236463287343773, -0.06084653380765723, 0.00027289412033636694, 0.05070175438259657, 0.007006292365706311, 0.13874164507545245, -0.1353405549755105, -0.13184808696230624, 0.43306440200943214, -0.0066056383332649534, -0.13946781497305402, 0.22906217930945927, -0.12107575294346763, -0.13712780494601107, 0.18304929276480555, 0.13114931307679328, 0.10257330977877316, -0.1423508257497675, 0.10755327234577496, -0.02105946693448529, 0.17929492860387725, 0.02828284716591812, -0.028793693403713405, 0.2140002386429562, 0.24796638275438454, 0.024355302063318398, 0.1844403685928018, -0.13223303813272372, -0.1647049399325624, -0.2370523425320593, -0.24313495060106596, -0.25440334089216776, 0.043786178913880855, -0.08128448313772633, -0.20592241661730581, 0.3140029348791219, 0.1283340345493903, 0.1584986652372978, -0.03074108038428956, 0.2081404255452351, 0.05141494253901048, 0.06107795091632467, 0.004438163085769002, 0.27474349948505944, 0.1319199730955566, 0.052223524248872236, -0.2880098861776507, 0.054662867225348376, 0.06270826498467404] |
710.3941 | Solutions of Nuclear Pairing | We give the exact solution of orbit dependent nuclear pairing problem between
two non-degenerate energy levels using the Bethe ansatz technique. Our solution
reduces to previously solved cases in the appropriate limits including
Richardson's treatment of reduced pairing in terms of rational Gaudin algebra
operators.
| nucl-th | we give the exact solution of orbit dependent nuclear pairing problem between two nondegenerate energy levels using the bethe ansatz technique our solution reduces to previously solved cases in the appropriate limits including richardsons treatment of reduced pairing in terms of rational gaudin algebra operators | [['we', 'give', 'the', 'exact', 'solution', 'of', 'orbit', 'dependent', 'nuclear', 'pairing', 'problem', 'between', 'two', 'nondegenerate', 'energy', 'levels', 'using', 'the', 'bethe', 'ansatz', 'technique', 'our', 'solution', 'reduces', 'to', 'previously', 'solved', 'cases', 'in', 'the', 'appropriate', 'limits', 'including', 'richardsons', 'treatment', 'of', 'reduced', 'pairing', 'in', 'terms', 'of', 'rational', 'gaudin', 'algebra', 'operators']] | [-0.1718714814633131, 0.031956167332828044, -0.07092071259394288, 0.12749627699247665, -0.0877818873617798, -0.16749067692500022, 0.07796616846074661, 0.28453789891468156, -0.2699560054577887, -0.2758057463500235, 0.03909639111306104, -0.221902358573344, -0.10300583983254101, 0.20816219473878542, 0.005711444550090366, 0.03326556158976422, 0.08962896830505795, 0.022018996708922916, -0.1971310673488511, -0.2584913142465262, 0.38413986117682525, 0.035049575401677024, 0.2810627751880222, 0.044426150330238875, 0.11623147501506739, 0.07458312523344325, 0.04530355127321349, -0.03429691222623256, -0.14387982616511483, 0.13648767549699795, 0.3153539491765615, 0.04753090863426526, 0.16383375657929314, -0.45562936313864255, -0.1402246762998402, 0.1266587845981121, 0.18839315951077473, 0.14244972629886535, 0.03612339364157783, -0.24744447525590657, 0.0022261841222643852, -0.2918873606870572, -0.23625573724922205, -0.1097649701560537, -0.018626708537340164, 0.015111969721813997, -0.2766597472338213, 0.12700658547174598, 0.05819247707517611, 0.0553170020174649, -0.17983531696307992, -0.18444488733592962, -0.0013156501524564292, 0.07262926699671274, 0.06377421660452254, -0.025778096531414323, 0.06723764485990008, -0.09858902810762325, -0.1032575842200054, 0.3222844916292363, -0.019714379414088195, -0.28131418832474286, 0.10966598536405299, -0.0832404768301381, -0.10359571509891086, 0.13328813519328833, 0.045489260047260255, 0.12110936884871787, -0.1495742021749417, 0.21290505793359543, -0.052115782039860885, 0.08162914938293397, 0.08239925038069487, 0.003559277579188347, 0.08227270297292207, 0.0806331292208698, 0.07937483889723404, 0.13380272674063842, 0.019646746582455105, -0.17008365645176834, -0.29170923191640113, -0.06648813982028515, -0.1482624880762564, 0.05696323776824607, -0.11495517804804775, -0.16973709375080134, 0.38628764512638253, 0.12797970910453135, 0.14542080933849016, 0.01380589163551728, 0.2101391424735387, 0.23380133162200864, 0.023979366746627623, 0.045613896298325726, 0.20126280583855177, 0.21423209403745003, 0.008762067618469397, -0.325789900475906, -0.015850845258682966, 0.23398939251071876] |
710.3942 | Bottom Baryon Decays in Non-relativistic Quark Model | The reactions $\Sigma_b^* \to \Lambda_b \pi$, $\Sigma_b \to \Lambda_b \pi$,
and $\Xi_b^* \to \Xi_b \pi$ are studied in the $^3P_0$ non-relativistic quark
model with all the model parameters fixed in the sector of light quarks. The
theoretical predictions for the decay widths $\Gamma_{\Sigma_b^* \to \Lambda_b
\pi}$ and $\Gamma_{\Sigma_b \to \Lambda_b \pi}$ are consistent with the
experimental data of the CDF Collaboration. Using as an input the recent mass
of $\Xi_b$ and the theoretical predictions mass of $\Xi_b^{*}$, a narrow decay
width about 1 MeV is predicted for the bottom baryon $\Xi_b^*$. The work
suggests that the $^3P_0$ quark dynamics is of independence of environments
where heavy quarks may or may not be a component of baryons.
| hep-ph | the reactions sigma_b to lambda_b pi sigma_b to lambda_b pi and xi_b to xi_b pi are studied in the 3p_0 nonrelativistic quark model with all the model parameters fixed in the sector of light quarks the theoretical predictions for the decay widths gamma_sigma_b to lambda_b pi and gamma_sigma_b to lambda_b pi are consistent with the experimental data of the cdf collaboration using as an input the recent mass of xi_b and the theoretical predictions mass of xi_b a narrow decay width about 1 mev is predicted for the bottom baryon xi_b the work suggests that the 3p_0 quark dynamics is of independence of environments where heavy quarks may or may not be a component of baryons | [['the', 'reactions', 'sigma_b', 'to', 'lambda_b', 'pi', 'sigma_b', 'to', 'lambda_b', 'pi', 'and', 'xi_b', 'to', 'xi_b', 'pi', 'are', 'studied', 'in', 'the', '3p_0', 'nonrelativistic', 'quark', 'model', 'with', 'all', 'the', 'model', 'parameters', 'fixed', 'in', 'the', 'sector', 'of', 'light', 'quarks', 'the', 'theoretical', 'predictions', 'for', 'the', 'decay', 'widths', 'gamma_sigma_b', 'to', 'lambda_b', 'pi', 'and', 'gamma_sigma_b', 'to', 'lambda_b', 'pi', 'are', 'consistent', 'with', 'the', 'experimental', 'data', 'of', 'the', 'cdf', 'collaboration', 'using', 'as', 'an', 'input', 'the', 'recent', 'mass', 'of', 'xi_b', 'and', 'the', 'theoretical', 'predictions', 'mass', 'of', 'xi_b', 'a', 'narrow', 'decay', 'width', 'about', '1', 'mev', 'is', 'predicted', 'for', 'the', 'bottom', 'baryon', 'xi_b', 'the', 'work', 'suggests', 'that', 'the', '3p_0', 'quark', 'dynamics', 'is', 'of', 'independence', 'of', 'environments', 'where', 'heavy', 'quarks', 'may', 'or', 'may', 'not', 'be', 'a', 'component', 'of', 'baryons']] | [-0.04398266755436596, 0.31046872040812895, -0.09055674750880714, 0.11685815087740163, -0.05549964069908591, -0.1263081625904561, 0.11056410468013941, 0.30721879230910226, -0.19452021293456487, -0.2167225319957524, -0.09484758681266389, -0.3769350864417982, 0.09001204397390482, 0.05932072059684351, 0.1047925602464953, 0.16430614904190102, 0.08064388536047518, 0.0453619454096872, -0.03201450143017594, -0.1698499658847587, 0.263382852371586, -0.018314528066599577, 0.17990647393621897, 0.133476065720938, -0.08720163197824404, -0.0706150551763641, -0.015620123104829537, -0.14075326535997815, -0.1397548982072055, 0.03465938518281307, 0.1777589079247902, 0.09329152986276568, 0.12039037105186205, -0.3433477814194926, -0.08085761698404033, 0.1287129331510841, 0.2081105587595518, 0.1332983431863811, 0.00416562679681208, -0.4054151679871179, 0.1894087431780798, -0.17889885751432494, -0.14453830107589039, -0.07284604984319262, 0.08437586243248038, -0.04308522089891005, -0.3629608624165453, 0.10757763495897515, -0.07521363440901041, 0.04383590058505274, -0.003345346072149512, -0.29656004066693414, -0.07275829118627467, 0.016021366347558796, 0.14937031457993089, 0.1161428036450576, 0.16851322437848962, -0.14749530669179653, -0.1458439189826318, 0.4353070761191479, -0.08085264982819035, -0.1720911487283414, 0.07720864119198124, -0.1757072172732207, -0.12245103977457211, 0.12759469992791614, 0.1782973446850583, 0.02560543144742648, -0.1844022536666639, 0.08297749348403477, -0.07047581673893881, 0.21615379871065288, 0.06817765634408907, 0.08421039686276856, 0.20484653723083043, 0.2046854139893855, -0.12029169843401433, -0.017975749775742816, -0.0744898137064618, -0.07961913582607451, -0.3950721119252736, -0.0980087444316412, -0.09247529608087222, 0.06274034939678243, -0.026314833135729077, -0.05728825352465113, 0.40054340676911043, 0.041319574202868366, 0.3514280775643624, 0.042356344750722905, 0.3211906804139481, 0.06878887753210668, 0.02835057721179175, 0.10194601533370778, 0.2990209602407719, 0.30818646954037576, 0.10951229145652369, -0.3009584807022883, 0.04599764369317869, -0.03881604429906267] |
710.3943 | Change of strength of vortex pinning in YBCO due to BaZrO_3 inclusions | We probe the short-range pinning properties with the application of microwave
currents at very high driving frequencies (47.7 GHz) on
YBa$_2$Cu$_3$O$_{7-\delta}$ films with and without sub-micrometer BaZrO$_3$
inclusions. We explore the temperature and field ranges 60 K$<T<T_c$ and
0$<\mu_0H<$0.8 T, with the field applied along the c-axis. The magnetic field
induces a much smaller increase of the microwave resistivity, $\Delta
\rho_1(H)+\mathrm{i}\Delta \rho_2(H)$, in YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$
with respect to pure YBa$_2$Cu$_3$O$_{7-\delta}$. $\Delta \rho_1(H)$ is
slightly superlinear in pure YBa$_2$Cu$_3$O$_{7-\delta}$ (suggesting a possible
contribution of thermal activation), but linear or sublinear in
YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$ (suggesting a possible suppression of
thermal activation as a consequence of BaZrO$_3$ inclusions). These features
persist up to close to $T_c$. We discuss our data in terms of the ratio
$r=\Delta X_s'(H)/\Delta R_s'(H)$ in the framework of the models for the
microwave surface impedance in the mixed state. Large $r$ are found in
YBa$_2$Cu$_3$O$_{7-\delta}$/BaZrO$_3$, with little field dependence. By
contrast, smaller values and stronger field dependences are found in pure
YBa$_2$Cu$_3$O$_{7-\delta}$. We discuss the different field dependence of the
pinning constant.
| cond-mat.supr-con cond-mat.mtrl-sci | we probe the shortrange pinning properties with the application of microwave currents at very high driving frequencies 477 ghz on yba_2cu_3o_7delta films with and without submicrometer bazro_3 inclusions we explore the temperature and field ranges 60 ktt_c and 0mu_0h08 t with the field applied along the caxis the magnetic field induces a much smaller increase of the microwave resistivity delta rho_1hmathrmidelta rho_2h in yba_2cu_3o_7deltabazro_3 with respect to pure yba_2cu_3o_7delta delta rho_1h is slightly superlinear in pure yba_2cu_3o_7delta suggesting a possible contribution of thermal activation but linear or sublinear in yba_2cu_3o_7deltabazro_3 suggesting a possible suppression of thermal activation as a consequence of bazro_3 inclusions these features persist up to close to t_c we discuss our data in terms of the ratio rdelta x_shdelta r_sh in the framework of the models for the microwave surface impedance in the mixed state large r are found in yba_2cu_3o_7deltabazro_3 with little field dependence by contrast smaller values and stronger field dependences are found in pure yba_2cu_3o_7delta we discuss the different field dependence of the pinning constant | [['we', 'probe', 'the', 'shortrange', 'pinning', 'properties', 'with', 'the', 'application', 'of', 'microwave', 'currents', 'at', 'very', 'high', 'driving', 'frequencies', '477', 'ghz', 'on', 'yba_2cu_3o_7delta', 'films', 'with', 'and', 'without', 'submicrometer', 'bazro_3', 'inclusions', 'we', 'explore', 'the', 'temperature', 'and', 'field', 'ranges', '60', 'ktt_c', 'and', '0mu_0h08', 't', 'with', 'the', 'field', 'applied', 'along', 'the', 'caxis', 'the', 'magnetic', 'field', 'induces', 'a', 'much', 'smaller', 'increase', 'of', 'the', 'microwave', 'resistivity', 'delta', 'rho_1hmathrmidelta', 'rho_2h', 'in', 'yba_2cu_3o_7deltabazro_3', 'with', 'respect', 'to', 'pure', 'yba_2cu_3o_7delta', 'delta', 'rho_1h', 'is', 'slightly', 'superlinear', 'in', 'pure', 'yba_2cu_3o_7delta', 'suggesting', 'a', 'possible', 'contribution', 'of', 'thermal', 'activation', 'but', 'linear', 'or', 'sublinear', 'in', 'yba_2cu_3o_7deltabazro_3', 'suggesting', 'a', 'possible', 'suppression', 'of', 'thermal', 'activation', 'as', 'a', 'consequence', 'of', 'bazro_3', 'inclusions', 'these', 'features', 'persist', 'up', 'to', 'close', 'to', 't_c', 'we', 'discuss', 'our', 'data', 'in', 'terms', 'of', 'the', 'ratio', 'rdelta', 'x_shdelta', 'r_sh', 'in', 'the', 'framework', 'of', 'the', 'models', 'for', 'the', 'microwave', 'surface', 'impedance', 'in', 'the', 'mixed', 'state', 'large', 'r', 'are', 'found', 'in', 'yba_2cu_3o_7deltabazro_3', 'with', 'little', 'field', 'dependence', 'by', 'contrast', 'smaller', 'values', 'and', 'stronger', 'field', 'dependences', 'are', 'found', 'in', 'pure', 'yba_2cu_3o_7delta', 'we', 'discuss', 'the', 'different', 'field', 'dependence', 'of', 'the', 'pinning', 'constant']] | [-0.14638659483329816, 0.2134178804544111, -0.002156985051591288, -0.012128406006024417, -0.03911522824994542, -0.12476284634886366, 0.05239526551696613, 0.3912629179374287, -0.24156789365930087, -0.33287433989691745, 0.03678863626476166, -0.3031344617660524, -0.06092606116594239, 0.19404326469044794, 0.02178585666485808, -0.0023193744765277104, -0.06633292673099221, 0.0016649179640367176, -0.08224217843222008, -0.19878226814960892, 0.2765110244141948, 0.042394129941804394, 0.3326560063626279, 0.08209765123813695, 0.03146490608553656, -0.05928481936624104, 0.05072975598388549, 0.09320113033225591, -0.1623740590036367, 0.016226089838892222, 0.24676852108953454, -0.05931919518237313, 0.18630685985201237, -0.4311843839615132, -0.20016330946660177, 0.07304581858951485, 0.10014682935945915, 0.11602839145978744, -0.03669277011191077, -0.21886817037946346, 0.07785201687083551, -0.09237737936729734, -0.1369653005336383, -0.051012292758307674, 0.0215079537663383, 0.007237814203130476, -0.26231899544822446, 0.1344511071078931, 0.057403380346174045, 0.12499767541885376, -0.10142735623415898, -0.1574550767739614, -0.0339383967291338, 0.02342820350983829, 0.06751632634973662, 0.09977452115183978, 0.17231297869178833, -0.1569959015387929, -0.05942445381008314, 0.3048417630548956, -0.14368887376604658, -0.09419597760407311, 0.1834837405208611, -0.22002413311521662, -0.07026413775782919, 0.15003646748479116, 0.12866465601166993, 0.08552571725608273, -0.10313900455014047, 0.09343377050209903, 0.031693426518926794, 0.21010939477463111, 0.10531549218929175, 0.06442621220291282, 0.20115730617174202, 0.16495969523534632, 0.05562920356733781, 0.1799728296076258, -0.12222321566307183, -0.018623998282110376, -0.2585075137713416, -0.12310817792560115, -0.14236531653370935, 0.078327020697973, -0.14546882047593085, -0.17129488374445248, 0.3533226069752621, 0.1435106241990897, 0.23970495541844603, 0.006313637584080976, 0.2216076930363973, 0.10636748697742764, 0.11295646349335033, 0.07275315046761975, 0.27281354022296994, 0.20519328579786375, 0.143279834681501, -0.27701723382236776, 0.0563606562163455, -0.09084136440898433] |
710.3944 | Crystallographic modelling of protein loops and their heterogeneity with
Rappertk | Background. All-atom crystallographic refinement of proteins is a laborious
manually driven procedure, as a result of which, alternative and multiconformer
interpretations are not routinely investigated.
Results. We describe efficient loop sampling procedures in Rappertk and
demonstrate that single loops in proteins can be automatically and accurately
modelled with few positional restraints. Loops constructed with a composite
CNS/Rappertk protocol consistently have better Rfree than those with CNS alone.
This approach is extended to a more realistic scenario where there are often
large positional uncertainties in loops along with small imperfections in the
secondary structural framework. Both ensemble and collection methods are used
to estimate the structural heterogeneity of loop regions.
Conclusion. Apart from benchmarking Rappertk for the all-atom protein
refinement task, this work also demonstrates its utility in both aspects of
loop modelling - building a single conformer and estimating structural
heterogeneity the loops can exhibit.
| q-bio.BM | background allatom crystallographic refinement of proteins is a laborious manually driven procedure as a result of which alternative and multiconformer interpretations are not routinely investigated results we describe efficient loop sampling procedures in rappertk and demonstrate that single loops in proteins can be automatically and accurately modelled with few positional restraints loops constructed with a composite cnsrappertk protocol consistently have better rfree than those with cns alone this approach is extended to a more realistic scenario where there are often large positional uncertainties in loops along with small imperfections in the secondary structural framework both ensemble and collection methods are used to estimate the structural heterogeneity of loop regions conclusion apart from benchmarking rappertk for the allatom protein refinement task this work also demonstrates its utility in both aspects of loop modelling building a single conformer and estimating structural heterogeneity the loops can exhibit | [['background', 'allatom', 'crystallographic', 'refinement', 'of', 'proteins', 'is', 'a', 'laborious', 'manually', 'driven', 'procedure', 'as', 'a', 'result', 'of', 'which', 'alternative', 'and', 'multiconformer', 'interpretations', 'are', 'not', 'routinely', 'investigated', 'results', 'we', 'describe', 'efficient', 'loop', 'sampling', 'procedures', 'in', 'rappertk', 'and', 'demonstrate', 'that', 'single', 'loops', 'in', 'proteins', 'can', 'be', 'automatically', 'and', 'accurately', 'modelled', 'with', 'few', 'positional', 'restraints', 'loops', 'constructed', 'with', 'a', 'composite', 'cnsrappertk', 'protocol', 'consistently', 'have', 'better', 'rfree', 'than', 'those', 'with', 'cns', 'alone', 'this', 'approach', 'is', 'extended', 'to', 'a', 'more', 'realistic', 'scenario', 'where', 'there', 'are', 'often', 'large', 'positional', 'uncertainties', 'in', 'loops', 'along', 'with', 'small', 'imperfections', 'in', 'the', 'secondary', 'structural', 'framework', 'both', 'ensemble', 'and', 'collection', 'methods', 'are', 'used', 'to', 'estimate', 'the', 'structural', 'heterogeneity', 'of', 'loop', 'regions', 'conclusion', 'apart', 'from', 'benchmarking', 'rappertk', 'for', 'the', 'allatom', 'protein', 'refinement', 'task', 'this', 'work', 'also', 'demonstrates', 'its', 'utility', 'in', 'both', 'aspects', 'of', 'loop', 'modelling', 'building', 'a', 'single', 'conformer', 'and', 'estimating', 'structural', 'heterogeneity', 'the', 'loops', 'can', 'exhibit']] | [-0.08057735376035415, 0.11273622797297078, -0.06554081148638481, 0.10156968451747803, -0.05111664650358365, -0.16594527293862382, 0.050576664140106926, 0.46347124161015096, -0.2348969848400218, -0.3536962063484628, 0.0682104461077063, -0.22545712624519118, -0.17460449941662914, 0.189323010014921, -0.06975770666605045, 0.041511240801823154, 0.11582869484128666, 0.00016949098216186107, -0.01931007419758752, -0.2030362768498787, 0.24040896098316372, 0.07500035341658538, 0.2652874242622589, 0.006234283470483103, 0.060267766898261826, -0.027380192895013263, -0.03183034506403434, 0.08219091483132757, -0.10147514133526604, 0.14452486649945928, 0.2647515468194451, 0.11444314934877338, 0.24281828873954767, -0.4368645529980889, -0.26029802835874366, 0.06987777565159953, 0.15656537637212903, 0.15020539324064935, -0.018242009268261156, -0.25360420472185374, 0.11446972471058474, -0.16046758605377145, -0.08873618495794879, -0.12632673215383375, -0.057665571937678566, 0.019649514871892114, -0.25583706753538316, 0.07380194960200576, 0.034223035109085094, 0.10384548419404407, -0.038271482301790685, -0.1046960945733049, -0.0161076971054287, 0.1597026802491213, 0.02680634310088632, 0.0341390179868617, 0.18260597227088793, -0.10156206607254563, -0.14700001090253428, 0.3754434773147526, 0.009775336190191603, -0.21556990774033566, 0.1852533627058786, -0.10110161435777243, -0.19681871296759224, 0.1572283083822211, 0.11927026030886262, 0.11537648893853414, -0.19925029995903687, 0.008089769852567385, 0.013391093303396983, 0.19949485443230772, 0.05361630340126461, -0.010179591430744655, 0.18782336113672757, 0.17960850228916225, -0.001814500417258643, 0.15043466074251188, -0.0796302625955358, -0.12044310121810142, -0.261480470692975, -0.10704186725558083, -0.11875311827490395, 0.002464944242707185, -0.09654085702723152, -0.1951857143324393, 0.33336014230243705, 0.14158620715180648, 0.19470154332377437, 0.030616512547516014, 0.3108753803928881, 0.017676224911578893, 0.10054774269540336, 0.023381625839532023, 0.16016270274060293, 0.07111103197848292, 0.043442076268855115, -0.19877330839845456, 0.11428024679501082, 0.034598985985314974] |
710.3945 | Pinning down the New Minimal Supersymmetric GUT | We show that generic $ {\bf{10\oplus 120\oplus {\bar {126}}}}$ fits of
fermion masses and mixings, using real superpotential couplings but with
complex `Higgs fractions' leading to complex yukawa couplings in the effective
MSSM, \emph{overdetermine}(by one extra constraint) the superpotential
parameters of the New Minimal Supersymmetric SO(10) GUT\cite{nmsgut}. Therefore
fits should properly be done by generating the 24 generic fit parameters from
the 23 parameters of the NMSGUT superpotential, given $\tan\beta$ as input.
Each numerical fit then \emph{fully specifies} the parameters of the NMSGUT. An
analysis of all its implications, modulo only the residual uncertainty of
supersymmetry breaking parameters, is now feasible. Thus the NMSGUT offers the
possibility of a confrontation between the scale of gauge unification and the
fit to fermion masses due to their extractable common dependence on the NMSGUT
parameters. If and when `smoking gun' discoveries of Supersymmetry and Proton
decay occur they will find the NMSGUT fully vulnerable to falsification.
| hep-ph | we show that generic bf10oplus 120oplus bar 126 fits of fermion masses and mixings using real superpotential couplings but with complex higgs fractions leading to complex yukawa couplings in the effective mssm emphoverdetermineby one extra constraint the superpotential parameters of the new minimal supersymmetric so10 gutcitenmsgut therefore fits should properly be done by generating the 24 generic fit parameters from the 23 parameters of the nmsgut superpotential given tanbeta as input each numerical fit then emphfully specifies the parameters of the nmsgut an analysis of all its implications modulo only the residual uncertainty of supersymmetry breaking parameters is now feasible thus the nmsgut offers the possibility of a confrontation between the scale of gauge unification and the fit to fermion masses due to their extractable common dependence on the nmsgut parameters if and when smoking gun discoveries of supersymmetry and proton decay occur they will find the nmsgut fully vulnerable to falsification | [['we', 'show', 'that', 'generic', 'bf10oplus', '120oplus', 'bar', '126', 'fits', 'of', 'fermion', 'masses', 'and', 'mixings', 'using', 'real', 'superpotential', 'couplings', 'but', 'with', 'complex', 'higgs', 'fractions', 'leading', 'to', 'complex', 'yukawa', 'couplings', 'in', 'the', 'effective', 'mssm', 'emphoverdetermineby', 'one', 'extra', 'constraint', 'the', 'superpotential', 'parameters', 'of', 'the', 'new', 'minimal', 'supersymmetric', 'so10', 'gutcitenmsgut', 'therefore', 'fits', 'should', 'properly', 'be', 'done', 'by', 'generating', 'the', '24', 'generic', 'fit', 'parameters', 'from', 'the', '23', 'parameters', 'of', 'the', 'nmsgut', 'superpotential', 'given', 'tanbeta', 'as', 'input', 'each', 'numerical', 'fit', 'then', 'emphfully', 'specifies', 'the', 'parameters', 'of', 'the', 'nmsgut', 'an', 'analysis', 'of', 'all', 'its', 'implications', 'modulo', 'only', 'the', 'residual', 'uncertainty', 'of', 'supersymmetry', 'breaking', 'parameters', 'is', 'now', 'feasible', 'thus', 'the', 'nmsgut', 'offers', 'the', 'possibility', 'of', 'a', 'confrontation', 'between', 'the', 'scale', 'of', 'gauge', 'unification', 'and', 'the', 'fit', 'to', 'fermion', 'masses', 'due', 'to', 'their', 'extractable', 'common', 'dependence', 'on', 'the', 'nmsgut', 'parameters', 'if', 'and', 'when', 'smoking', 'gun', 'discoveries', 'of', 'supersymmetry', 'and', 'proton', 'decay', 'occur', 'they', 'will', 'find', 'the', 'nmsgut', 'fully', 'vulnerable', 'to', 'falsification']] | [-0.1026766045665956, 0.2017436441474152, -0.028571201428996038, 0.16700241862930632, -0.1384555719474068, -0.2075155760976486, 0.06528619817151819, 0.2800140252068089, -0.21646888284856491, -0.35324376158341264, 0.07850602368789807, -0.21986510403041773, -0.0713559713385743, 0.12654776402574108, -0.015276285717748231, 0.06577123768960481, 0.03353243329384108, -0.007421943534090615, -0.09395306643107187, -0.28036146057025846, 0.29041144376833167, 0.04031197611092521, 0.1888483617245376, 0.06989691753546713, 0.07444935867167547, -0.03517866839542235, -0.013302373482639457, -0.10068932217202031, -0.11888938782145402, 0.09311943685623424, 0.17561805887685325, 0.10721704783855669, 0.09457300963417796, -0.34586335807388663, -0.17544501653603659, 0.16742718972628248, 0.1568601526786423, 0.078905275343111, -0.02571002326221299, -0.2758239227028301, 0.0671095220284574, -0.2120778546590458, -0.1401018624212718, -0.12404766383474605, -0.03306965522730611, -0.09746736949684735, -0.3636250638734274, 0.06397907926772109, -0.06919074294801127, 0.03594353992684163, -0.016215041527468336, -0.14873452973239523, -0.13178522307925777, 0.05924348298389146, 0.17836486303947566, -0.014923941419028596, 0.15805338599700355, -0.19445831263312857, -0.10403209695617524, 0.42979981090198427, -0.060785017571655796, -0.18985929263711926, 0.12466462992831764, -0.11498266903858557, -0.16915977425285733, 0.11961160270628463, 0.13644687371365977, 0.04708521386988199, -0.16946253319782276, 0.20592035859941987, -0.03122871471006398, 0.20844800419005372, 0.05465728818320188, 0.02823178514200669, 0.28034241723100617, 0.15282268973923718, 0.018120435610313543, 0.012291794729531562, -0.027677737081098375, -0.0783956851169542, -0.4256903569443751, -0.07297432963617596, -0.09125628319628312, 0.06466986838143769, -0.14568670007092377, -0.1098598192833464, 0.4468859401125236, 0.15141904996762728, 0.2648198892324913, 0.05815159028471016, 0.2675625435170411, 0.06314624595883983, 0.14774932076485714, 0.002513521685321259, 0.29493394122465244, 0.09634888534209123, 0.04287214214357254, -0.23748644536529862, -0.020633615600257713, 0.058069751460430204] |
710.3946 | Search for Supersymmetry in Di-Photon Final States at sqrt{s} = 1.96 TeV | We report results of a search for supersymmetry (SUSY) with gauge-mediated
symmetry breaking in di-photon events collected by the D0 experiment at the
Fermilab Tevatron Collider in 2002--2006. In 1.1 fb$^{-1}$ of data, we find no
significant excess beyond the background expected from the standard model and
set the most stringent lower limits to date for a standard benchmark model on
the lightest neutralino and chargino masses of 125 GeV and 229 GeV,
respectively, at 95% confidence.
| hep-ex | we report results of a search for supersymmetry susy with gaugemediated symmetry breaking in diphoton events collected by the d0 experiment at the fermilab tevatron collider in 20022006 in 11 fb1 of data we find no significant excess beyond the background expected from the standard model and set the most stringent lower limits to date for a standard benchmark model on the lightest neutralino and chargino masses of 125 gev and 229 gev respectively at 95 confidence | [['we', 'report', 'results', 'of', 'a', 'search', 'for', 'supersymmetry', 'susy', 'with', 'gaugemediated', 'symmetry', 'breaking', 'in', 'diphoton', 'events', 'collected', 'by', 'the', 'd0', 'experiment', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'in', '20022006', 'in', '11', 'fb1', 'of', 'data', 'we', 'find', 'no', 'significant', 'excess', 'beyond', 'the', 'background', 'expected', 'from', 'the', 'standard', 'model', 'and', 'set', 'the', 'most', 'stringent', 'lower', 'limits', 'to', 'date', 'for', 'a', 'standard', 'benchmark', 'model', 'on', 'the', 'lightest', 'neutralino', 'and', 'chargino', 'masses', 'of', '125', 'gev', 'and', '229', 'gev', 'respectively', 'at', '95', 'confidence']] | [-0.03705975352846957, 0.18824515794706229, -0.006408920581150171, 0.20185324181983996, -0.06259989003384751, -0.14974325777986994, 0.10679377245341802, 0.3208753942094695, -0.10048726287688577, -0.4201578511916972, 0.048376307842418455, -0.3852915756960774, 0.10311597005718133, 0.18277366487037197, 0.06392027956793424, 0.13841925052980372, 0.12821913656306924, -0.010962643854126528, -0.043427274102804725, -0.25382198168376047, 0.17719703199728937, 0.08788840380473087, 0.21468780313122582, 0.11141846334416565, 0.04695918836915115, -0.04134540490778889, -0.011416855803388474, -0.1906221027594882, -0.1286743923495584, 0.07625761344520883, 0.2031711986252143, 0.12157197474719739, 0.07672705553629279, -0.3207135872398322, -0.06078250359066508, 0.19837755852608713, 0.120054750585348, 0.057888495023725194, -0.10052415921637038, -0.3870443359543509, 0.16259495006547636, -0.23120322219979067, -0.05265186691064049, 0.06084665535894743, -0.01516321934033911, -0.21661371192229645, -0.31833893862589224, 0.1453403391415713, -0.09338846718045798, 0.11393393682582038, -0.007740477925505151, -0.23121943385279797, -0.12242878555900769, -0.1287722262106352, 0.13493334720978611, 0.019584582915965033, 0.17575357350151888, -0.17898239484419684, -0.25656216415008165, 0.38827086622258283, -0.14278194813856057, -0.09660494288236096, 0.21748206124628905, -0.22439853030607684, -0.19710859078792975, 0.19019387435022886, 0.2871293830866744, 0.035118145408568446, -0.23150768412833478, 0.17746901802201573, -0.05018304942732121, 0.22866686498867228, 0.09631374945210947, 0.02944269186557065, 0.2662405486811291, 0.2686167886940303, 0.0751511911051227, 0.029182344266854517, -0.14966025065884672, -0.040102595106589714, -0.5016486821635687, -0.04944288307292895, -0.04619717989237858, 0.020531773252727148, -0.06110994072042121, 0.024530736741597777, 0.37309634237392963, 0.1931618807244707, 0.31256487836166247, 0.06242887442326778, 0.2526547363203309, 0.05566529002416329, 0.08376026076042432, 0.05635911478209702, 0.3868288989723116, 0.05045148610838919, 0.13326786327865217, -0.16388391943757313, -0.0734766323252448, 0.013198765756731684] |
710.3947 | First Eigenvalues of Geometric Operators under the Ricci Flow | In this paper, we prove that the first eigenvalues of $-\Delta + cR$ ($c\geq
\frac14$) is nondecreasing under the Ricci flow. We also prove the monotonicity
under the normalized flow for the case $c=1/4$, and $r\le 0$.
| math.DG | in this paper we prove that the first eigenvalues of delta cr cgeq frac14 is nondecreasing under the ricci flow we also prove the monotonicity under the normalized flow for the case c14 and rle 0 | [['in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'first', 'eigenvalues', 'of', 'delta', 'cr', 'cgeq', 'frac14', 'is', 'nondecreasing', 'under', 'the', 'ricci', 'flow', 'we', 'also', 'prove', 'the', 'monotonicity', 'under', 'the', 'normalized', 'flow', 'for', 'the', 'case', 'c14', 'and', 'rle', '0']] | [-0.21179113945820266, 0.11078626987808901, -0.03774071355453796, 0.04079662263393402, 0.014939539651903842, -0.1731692532905274, -0.03441476606854445, 0.36636973751915825, -0.3168746916991141, -0.12503724643546674, 0.10451844234679204, -0.32271629437390303, -0.1599419779765109, 0.12396816588524315, -0.08491281347556247, 0.05404368068815933, 0.02701365968419446, 0.12567596887755725, -0.0803980433395029, -0.24433523776113159, 0.3712719323941403, -0.06975496301634444, 0.202609395808799, 0.17184179991212054, 0.07576256260896723, -0.04163807512830115, 0.09280196577310562, -0.0293148430581722, -0.30669574854194553, 0.04785042853715519, 0.15357290076402327, 0.11319778277538717, 0.24080017757498556, -0.35040809540078044, -0.17947399323909646, 0.22619818766704863, 0.1643840855297943, -0.05188550505166253, -0.02211938993746622, -0.20946208643080252, 0.22156152108477223, -0.09006370927414133, -0.13085706019612392, -0.012755817216303613, 0.04562709335651663, 0.05076161280481352, -0.33464127830747104, 0.13023612132706652, 0.17942841754605374, 0.04456373104929096, -0.09277398092672229, -0.1547488028752721, -0.018169923323310085, 0.05918379704881874, 0.10616007465998539, 0.023203874200892944, 0.03307703243465059, -0.060763975935212024, 0.013451554864231084, 0.3456757437023852, -0.1287549005096985, -0.23516549511502186, 0.03542807718945874, -0.168240252442451, -0.21915762571411002, 0.007893900050678186, 0.1015693943740593, 0.2138812741678622, -0.06918323902128679, 0.1634111649133653, -0.0883810236894836, 0.12568055274378923, 0.14801795379672614, -0.04732756615461161, 0.01567011929324104, 0.04445176990702748, 0.2503526526141084, 0.17299776934345978, -0.05583771307849222, -0.009336757208479362, -0.3882464903096358, -0.24779427320592934, -0.1904224969394919, 0.14014257872218472, -0.14045932953619436, -0.08459601269310547, 0.35482573348821866, 0.07888827876498301, 0.149124250229862, 0.19727700586534208, 0.22467126635213694, 0.14904470529614222, -0.07561261719092727, 0.23044089989788416, 0.1637853312616547, 0.15868707787659433, 0.15452883780623475, -0.19705970741860154, 0.037188974170324705, 0.115820074842001] |
710.3948 | RNA sampling and crystallographic refinement using Rappertk | Background. Dramatic increases in RNA structural data have made it possible
to recognize its conformational preferences much better than a decade ago. This
has created an opportunity to use discrete restraint-based conformational
sampling for modelling RNA and automating its crystallographic refinement.
Results. All-atom sampling of entire RNA chains, termini and loops is achieved
using the Richardson RNA backbone rotamer library and an unbiased distribution
for glycosidic dihedral angle. Sampling behaviour of Rappertk on a diverse
dataset of RNA chains under varying spatial restraints is benchmarked. The
iterative composite crystallographic refinement protocol developed here is
demonstrated to outperform CNS-only refinement on parts of tRNA(Asp) structure.
Conclusion. This work opens exciting possibilities for further work in RNA
modelling and crystallography.
| q-bio.BM | background dramatic increases in rna structural data have made it possible to recognize its conformational preferences much better than a decade ago this has created an opportunity to use discrete restraintbased conformational sampling for modelling rna and automating its crystallographic refinement results allatom sampling of entire rna chains termini and loops is achieved using the richardson rna backbone rotamer library and an unbiased distribution for glycosidic dihedral angle sampling behaviour of rappertk on a diverse dataset of rna chains under varying spatial restraints is benchmarked the iterative composite crystallographic refinement protocol developed here is demonstrated to outperform cnsonly refinement on parts of trnaasp structure conclusion this work opens exciting possibilities for further work in rna modelling and crystallography | [['background', 'dramatic', 'increases', 'in', 'rna', 'structural', 'data', 'have', 'made', 'it', 'possible', 'to', 'recognize', 'its', 'conformational', 'preferences', 'much', 'better', 'than', 'a', 'decade', 'ago', 'this', 'has', 'created', 'an', 'opportunity', 'to', 'use', 'discrete', 'restraintbased', 'conformational', 'sampling', 'for', 'modelling', 'rna', 'and', 'automating', 'its', 'crystallographic', 'refinement', 'results', 'allatom', 'sampling', 'of', 'entire', 'rna', 'chains', 'termini', 'and', 'loops', 'is', 'achieved', 'using', 'the', 'richardson', 'rna', 'backbone', 'rotamer', 'library', 'and', 'an', 'unbiased', 'distribution', 'for', 'glycosidic', 'dihedral', 'angle', 'sampling', 'behaviour', 'of', 'rappertk', 'on', 'a', 'diverse', 'dataset', 'of', 'rna', 'chains', 'under', 'varying', 'spatial', 'restraints', 'is', 'benchmarked', 'the', 'iterative', 'composite', 'crystallographic', 'refinement', 'protocol', 'developed', 'here', 'is', 'demonstrated', 'to', 'outperform', 'cnsonly', 'refinement', 'on', 'parts', 'of', 'trnaasp', 'structure', 'conclusion', 'this', 'work', 'opens', 'exciting', 'possibilities', 'for', 'further', 'work', 'in', 'rna', 'modelling', 'and', 'crystallography']] | [-0.093606812763534, 0.11276715731314059, -0.09409538107195302, 0.0640522793932494, -0.0979939867377929, -0.1696332663864545, 0.06638200368894183, 0.4675064566990604, -0.28601587257631444, -0.3169011427656464, 0.006400410860331486, -0.20514374286057832, -0.15062376481339174, 0.18952575331634802, -0.0462184256469102, 0.05748024331962528, 0.13051580101778001, -0.05462088946900938, -0.014733769396907124, -0.23725042414406072, 0.19438030796692424, 0.16094805088866015, 0.29546858875647836, 0.015136083038827486, 0.09718336034667395, 0.03143808544087021, -0.03169457783274676, -0.01575195209082702, -0.20472459640434904, 0.17684429924246733, 0.2624488052405903, 0.13274998293035542, 0.23653549112622504, -0.4206964501382216, -0.2355536461747049, 0.06600232144979679, 0.17899776018938332, 0.16342727108352373, -0.056608398003584665, -0.25598488943246395, 0.08417595048009863, -0.14851387234850097, -0.09614230399222477, -0.1176878232974559, 0.009474212647942097, 0.0019806135557186993, -0.22566768689455627, 0.028205760224195926, 0.039267402294385446, 0.1855204076708659, -0.04196323495682167, -0.14403986298357663, -0.02501760888034883, 0.13495976500537085, 0.07503457843002094, 0.06367073049262652, 0.18209668082063613, -0.07981063986207237, -0.1663719934573316, 0.34933372139930724, 0.036826826789911137, -0.1669976478881638, 0.17408523302039375, -0.05802403036504984, -0.21901060909807238, 0.19182574076820974, 0.11607635837230508, 0.11604613046283307, -0.15069862968622424, 0.06859651487523123, 0.01962862806394696, 0.2172314899528156, 0.13929530420219122, -0.04723764700896066, 0.16021362387210777, 0.24350838094301847, 0.05540353844711638, 0.17288339504688655, -0.08680620369069283, -0.1447990284832802, -0.1373490839872671, -0.16972583428673121, -0.17971790211437189, 0.015118285224003635, -0.08476711178714734, -0.19770705685343432, 0.39240725138629584, 0.1196566927044288, 0.11113042299757185, 0.06611470938457743, 0.2573945222736296, -0.07334568459216667, 0.09063291995907607, -0.040132801619398854, 0.11494178219252954, 0.12581764980340782, 0.06972818940412254, -0.19802086650717843, 0.14173028350038372, 0.01940204285328155] |
710.3949 | A note on pairs of metrics in a two-dimensional linear vector space | Pairs of metrics in a two-dimensional linear vector space are considered, one
of which is a Minkowski type metric. Their simultaneous diagonalizability is
studied and canonical presentations for them are suggested.
| math.MG | pairs of metrics in a twodimensional linear vector space are considered one of which is a minkowski type metric their simultaneous diagonalizability is studied and canonical presentations for them are suggested | [['pairs', 'of', 'metrics', 'in', 'a', 'twodimensional', 'linear', 'vector', 'space', 'are', 'considered', 'one', 'of', 'which', 'is', 'a', 'minkowski', 'type', 'metric', 'their', 'simultaneous', 'diagonalizability', 'is', 'studied', 'and', 'canonical', 'presentations', 'for', 'them', 'are', 'suggested']] | [-0.19677008922782638, 0.12168745650729586, -0.0237112574038967, 0.14120152890832433, -0.11015582264911744, -0.15183701014686976, -0.03072259938644786, 0.40434445140342556, -0.23927887913680845, -0.19584244429584471, 0.09140795927059146, -0.29081820585434476, -0.14726487913679692, 0.19968070858909237, -0.04063527992806367, 0.05607528618026164, 0.00028797157949978305, 0.1109664207023959, -0.14587348972957942, -0.3056189919551534, 0.397099350128443, -0.0013989085151303198, 0.2867956245618482, -0.05240819230675697, 0.12774317001082724, 0.005134717290920596, -0.09275851741192802, 0.062106507183465685, -0.09114150961320247, 0.1359538624378582, 0.2568688551264425, 0.12350239873593373, 0.227058632524624, -0.3216968538059342, -0.2453402310549732, 0.13066084824141957, 0.04399908595387974, 0.07188738746974137, -0.025161785374004996, -0.25513039913869673, 0.09613692474264215, -0.11151488723173257, -0.1025320723532669, -0.08014854899938068, 0.04212163983573837, 0.027787006129660913, -0.26726088973302997, 0.0389771441959085, 0.08787705994027126, 0.05302313435822725, -0.0765550848502185, -0.08728335899931769, -0.03134127874528208, 0.09303541370337048, 0.028939686700581543, 0.033494612622645595, 0.049493072028722496, -0.08342332775036114, -0.15043073922636047, 0.41752213095465013, -0.021184674644422148, -0.2925411772824103, 0.19591272772560198, -0.07325502868080812, -0.08739174559201685, 0.0761597943642447, 0.14557600622215577, 0.171662047925976, -0.17413585804282658, 0.13478606608658728, -0.07792635478319661, 0.03826394563000048, 0.07820141618891109, 0.05963700665761867, 0.18116080715891816, 0.08940535333127744, 0.038628867376715906, 0.11170177618342061, -0.00994578300648549, -0.10674903247385256, -0.31058758040589673, -0.24070472669817747, -0.14493061920567865, 0.050210243090987206, -0.07013334069474254, -0.19956442206016473, 0.374270330138144, -0.0650311299870091, 0.20321263949717244, 0.017742818886143787, 0.21983287555556144, 0.0921831596342306, 0.050689211483263684, 0.04583104743411945, 0.26612409974838935, 0.15803120405443252, 0.0248963767963071, -0.09366628794269936, -0.03536048125956328, 0.1835776607415849] |
710.395 | Geometric phase gate on an optical transition for ion trap quantum
computation | We propose a geometric phase gate of two ion qubits that are encoded in two
levels linked by an optical dipole-forbidden transition. Compared to hyperfine
geometric phase gates mediated by electric dipole transitions, the gate has
many interesting properties, such as very low spontaneous emission rates,
applicability to magnetic field insensitive states, and use of a co-propagating
laser beam geometry. We estimate that current technology allows for
infidelities of around 10$^{-4}$.
| quant-ph | we propose a geometric phase gate of two ion qubits that are encoded in two levels linked by an optical dipoleforbidden transition compared to hyperfine geometric phase gates mediated by electric dipole transitions the gate has many interesting properties such as very low spontaneous emission rates applicability to magnetic field insensitive states and use of a copropagating laser beam geometry we estimate that current technology allows for infidelities of around 104 | [['we', 'propose', 'a', 'geometric', 'phase', 'gate', 'of', 'two', 'ion', 'qubits', 'that', 'are', 'encoded', 'in', 'two', 'levels', 'linked', 'by', 'an', 'optical', 'dipoleforbidden', 'transition', 'compared', 'to', 'hyperfine', 'geometric', 'phase', 'gates', 'mediated', 'by', 'electric', 'dipole', 'transitions', 'the', 'gate', 'has', 'many', 'interesting', 'properties', 'such', 'as', 'very', 'low', 'spontaneous', 'emission', 'rates', 'applicability', 'to', 'magnetic', 'field', 'insensitive', 'states', 'and', 'use', 'of', 'a', 'copropagating', 'laser', 'beam', 'geometry', 'we', 'estimate', 'that', 'current', 'technology', 'allows', 'for', 'infidelities', 'of', 'around', '104']] | [-0.1648160164362528, 0.25408962609522656, 0.023513811325628152, 0.04214698439595145, 0.02009798980868933, -0.20117057323403342, 0.07447759851708378, 0.45889926880178317, -0.2071129920577604, -0.32070047723155626, 0.014978045864935808, -0.22997663806632823, -0.08590010655666767, 0.22224670117327444, -0.021921082621138597, 0.03496997791644133, -0.022922857585822194, -0.05948303134875818, -0.06496764629633284, -0.1174822537044824, 0.2663880746129533, 0.032256632472690144, 0.3256053136215663, 0.06398612020445436, 0.10711684727280492, -0.048486757734921615, 0.11177391000747891, -0.03860290820749713, -0.0822036059609775, 0.07753242778798408, 0.25051828381985847, 0.03196647954763661, 0.19275536163198487, -0.4982852240316045, -0.15083683044715246, 0.036212237928928415, 0.14384211391918886, 0.19191267685046498, -0.10475875157862902, -0.30549576022321173, -0.0033553729594593316, -0.15692127619305968, -0.0933552340433841, -0.14264356306898343, 0.02479349351061744, 0.008897815057089632, -0.26241417707954073, 0.02636853545825456, 0.014325995081838903, 0.06686282988217934, -0.023429086045722778, -0.060797514184050154, 0.007733764612233974, 0.07187017867986022, -0.01849152119239976, 0.07992732479617419, 0.243382063379485, -0.11612412109184013, -0.14894815235280653, 0.3395617947795651, -0.0849383007079153, -0.10281031008180179, 0.169611085193153, -0.1636572319515784, -0.06768491862236824, 0.18169537321074117, 0.13967106870414925, 0.1036849737259179, -0.12475159915793739, 0.026187800700222075, 0.08395911497719796, 0.20140170464629323, 0.1108666290332314, 0.13761289992277892, 0.24448711059751435, 0.11551267589429315, 0.04687943448506059, 0.19533959467601011, -0.1400905572087832, -0.0921457477182832, -0.26833551521347443, -0.09834455459995169, -0.1862214075493246, 0.081855826397938, -0.060508289433233636, -0.12482600956892884, 0.43881710683008734, 0.16731629608704013, 0.17744387482935695, -0.09450159696075068, 0.31460567727081584, 0.12026991238522435, 0.06868905326167882, 0.0006337486417360709, 0.27521610801095064, 0.2435627188861475, 0.06589705768552884, -0.2726108888295335, 0.050340691056679675, -0.0010240494181782427] |
710.3951 | Nonlinear elasticity of composite networks of stiff biopolymers with
flexible linkers | Motivated by recent experiments showing nonlinear elasticity of in vitro
networks of the biopolymer actin cross-linked with filamin, we present an
effective medium theory of flexibly cross-linked stiff polymer networks. We
model such networks by randomly oriented elastic rods connected by flexible
connectors to a surrounding elastic continuum, which self-consistently
represents the behavior of the rest of the network. This model yields a
crossover from a linear elastic regime to a highly nonlinear elastic regime
that stiffens in a way quantitatively consistent with experiment.
| cond-mat.soft | motivated by recent experiments showing nonlinear elasticity of in vitro networks of the biopolymer actin crosslinked with filamin we present an effective medium theory of flexibly crosslinked stiff polymer networks we model such networks by randomly oriented elastic rods connected by flexible connectors to a surrounding elastic continuum which selfconsistently represents the behavior of the rest of the network this model yields a crossover from a linear elastic regime to a highly nonlinear elastic regime that stiffens in a way quantitatively consistent with experiment | [['motivated', 'by', 'recent', 'experiments', 'showing', 'nonlinear', 'elasticity', 'of', 'in', 'vitro', 'networks', 'of', 'the', 'biopolymer', 'actin', 'crosslinked', 'with', 'filamin', 'we', 'present', 'an', 'effective', 'medium', 'theory', 'of', 'flexibly', 'crosslinked', 'stiff', 'polymer', 'networks', 'we', 'model', 'such', 'networks', 'by', 'randomly', 'oriented', 'elastic', 'rods', 'connected', 'by', 'flexible', 'connectors', 'to', 'a', 'surrounding', 'elastic', 'continuum', 'which', 'selfconsistently', 'represents', 'the', 'behavior', 'of', 'the', 'rest', 'of', 'the', 'network', 'this', 'model', 'yields', 'a', 'crossover', 'from', 'a', 'linear', 'elastic', 'regime', 'to', 'a', 'highly', 'nonlinear', 'elastic', 'regime', 'that', 'stiffens', 'in', 'a', 'way', 'quantitatively', 'consistent', 'with', 'experiment']] | [-0.13301792198104695, 0.17600413724115546, -0.062100849291753205, -0.059258129415822966, -0.04683350669386398, -0.17017825993908836, -0.0016596685593304713, 0.4287544739698725, -0.3117747563491797, -0.22616429528265836, -0.009332571719174407, -0.27354474736022805, -0.25238759438729, 0.09655109923222058, 0.011268355379191538, 0.09186056575604848, 0.05630452687563818, -0.04649569013244694, 0.053233847767669, -0.13128986411417523, 0.25017169580817045, 0.07626802499760829, 0.3255657398119746, 0.028451951276067467, 0.12358384003995784, 0.012186404184571334, 0.04936021594801873, 0.12767191105827114, -0.13742293046353943, 0.20248043063717583, 0.28775251079128966, -0.03832487187658747, 0.21673839115759447, -0.5447619722357818, -0.29459291051274966, 0.0660120644163163, 0.12399357503523961, 0.14240122183331377, 0.01161182283734282, -0.28093653409520075, 0.04662266112254223, -0.20082504018431618, -0.14606182386411265, -0.06636424617664445, 0.015743538848168794, 0.08010044294531413, -0.22282431293500676, 0.11353006107293324, 0.01755302628347029, 0.008387528337715637, -0.09598552874134232, -0.026141459709920344, -0.018824049593171195, 0.03994228734656991, 0.028446168148158386, 0.008981470584071108, 0.22325915951902667, -0.17463272752883358, -0.05712763602579279, 0.38869474931908327, -0.06921185090808042, -0.15888009040749498, 0.17297703246142537, -0.030951105008300926, -0.10570091590385086, 0.17971317580945434, 0.1922686166307401, 0.07504595179731648, -0.19680940030541802, 0.021811471863960225, -0.08387072423716918, 0.20640145007166125, 0.009715782231762119, -0.08241846213959866, 0.1887651881247404, 0.3332803497046587, -0.014916276559233665, 0.17915263566343734, -0.021112143549890744, -0.08439027383116939, -0.2505047408797379, -0.07326273786436234, -0.1538345357902082, 0.05358889876377015, -0.1302963652470637, -0.18228859174442255, 0.32487816609708325, 0.05421894469431469, 0.23332282110294772, 0.13541918892241528, 0.2550661218147503, -0.008435542606526897, 0.06335102962995214, 0.04674705310857722, 0.2820175104508443, 0.18110194336345775, 0.1515904406800733, -0.20949661830118635, 0.06968420362127722, 0.018709386615747853] |
710.3952 | The fractional stochastic heat equation on the circle: Time regularity
and potential theory | We consider a system of $d$ linear stochastic heat equations driven by an
additive infinite-dimensional fractional Brownian noise on the unit circle
$S^1$. We obtain sharp results on the H\"older continuity in time of the paths
of the solution $u=\{u(t, x)\}_{t \in \mathbb{R}_+, x \in S^1}$. We then
establish upper and lower bounds on hitting probabilities of $u$, in terms of
respectively Hausdorff measure and Newtonian capacity.
| math.PR | we consider a system of d linear stochastic heat equations driven by an additive infinitedimensional fractional brownian noise on the unit circle s1 we obtain sharp results on the holder continuity in time of the paths of the solution uut x_t in mathbbr_ x in s1 we then establish upper and lower bounds on hitting probabilities of u in terms of respectively hausdorff measure and newtonian capacity | [['we', 'consider', 'a', 'system', 'of', 'd', 'linear', 'stochastic', 'heat', 'equations', 'driven', 'by', 'an', 'additive', 'infinitedimensional', 'fractional', 'brownian', 'noise', 'on', 'the', 'unit', 'circle', 's1', 'we', 'obtain', 'sharp', 'results', 'on', 'the', 'holder', 'continuity', 'in', 'time', 'of', 'the', 'paths', 'of', 'the', 'solution', 'uut', 'x_t', 'in', 'mathbbr_', 'x', 'in', 's1', 'we', 'then', 'establish', 'upper', 'and', 'lower', 'bounds', 'on', 'hitting', 'probabilities', 'of', 'u', 'in', 'terms', 'of', 'respectively', 'hausdorff', 'measure', 'and', 'newtonian', 'capacity']] | [-0.16614521844243046, 0.09732650415194326, -0.02507033193164241, 0.0460955956672777, -0.009158265401623141, -0.11200318807291228, 0.11175631762329322, 0.3570150658627277, -0.2959425191242081, -0.18080755922276137, 0.13460186468576318, -0.3207559756267427, -0.07746407626294044, 0.22109956868382089, -0.13313647476372434, 0.09152824485174088, -0.0014650619852898726, 0.10296119284406026, -0.09115806866937609, -0.23057392958565545, 0.26917031999825547, -0.06319433606382627, 0.1722522536570679, 0.04322587789050234, 0.17478636991399438, -0.05347038878114032, -0.024001614982957272, -0.039920251163195315, -0.287471407107008, 0.10414570501880414, 0.15893639579985236, 0.03097093300615896, 0.27563533024278597, -0.4265441094705863, -0.1743334910359734, 0.1563991773317554, 0.0882966780419107, -0.05856781149866866, 0.028912363770251064, -0.3442192358423525, 0.02955761356209752, -0.09474127432470446, -0.13497223013511567, -0.013517836008026307, 0.09689588936518377, 0.08556224317845902, -0.2803015259942457, 0.1409324197195915, 0.1372243537195722, 0.01211314875964395, -0.12201026836827175, -0.12117561475728263, -0.012924889644691304, 0.06172269633484643, 0.022633608237756835, 0.0543199137840142, 0.09430857519827672, -0.08146977706798422, -0.11900780876792634, 0.3089653046718284, -0.20512501074960315, -0.2983316957616984, 0.11638242756920074, -0.2438451642684861, -0.119292789941598, 0.14881089029472266, 0.2254842895069229, 0.1334747396020302, -0.17073533506090963, 0.1939356447902939, -0.07654138009842318, 0.11756679914724916, 0.0921010245471748, 0.05427960235166794, 0.07304593331333417, 0.14023868750725219, 0.20663973267899075, 0.16916240925845036, -0.07315709962120363, -0.09104619859787288, -0.3597221447627491, -0.16493438384426173, -0.18853075103139255, 0.15736190685585363, -0.18164609026453987, -0.16201836590606497, 0.27543969215901654, 0.11528502666016123, 0.21522768913531926, 0.1431127322782109, 0.20303569711855987, 0.22276550491076352, -0.1048197873447563, 0.12798195617940666, 0.12409103943952429, 0.1772960675185296, 0.07197944072784106, -0.1880219346398849, 0.033372832733248155, 0.1827147053137644] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.