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711.1808 | Cross-Kerr effective Hamiltonian for a non-resonant four-level atom | We derive a cross-Kerr type effective Hamiltonian for the four-level atom
interacting with three electromagnetic fields in the N-configuration. When the
atom has relaxed into the ground state a cross-Kerr nonlinearity arises between
two weak probe fields. As a development on earlier work we show in general that
the atom will also display a linear and self-Kerr response. However, if certain
resonance conditions are satisfied then the linear and self-Kerr interactions
will vanish. The electrical susceptibilities of the probe transitions are also
explored and it is shown that a large, pure cross-Kerr nonlinearity can be
generated with vanishing absorption of both probe fields.
| quant-ph | we derive a crosskerr type effective hamiltonian for the fourlevel atom interacting with three electromagnetic fields in the nconfiguration when the atom has relaxed into the ground state a crosskerr nonlinearity arises between two weak probe fields as a development on earlier work we show in general that the atom will also display a linear and selfkerr response however if certain resonance conditions are satisfied then the linear and selfkerr interactions will vanish the electrical susceptibilities of the probe transitions are also explored and it is shown that a large pure crosskerr nonlinearity can be generated with vanishing absorption of both probe fields | [['we', 'derive', 'a', 'crosskerr', 'type', 'effective', 'hamiltonian', 'for', 'the', 'fourlevel', 'atom', 'interacting', 'with', 'three', 'electromagnetic', 'fields', 'in', 'the', 'nconfiguration', 'when', 'the', 'atom', 'has', 'relaxed', 'into', 'the', 'ground', 'state', 'a', 'crosskerr', 'nonlinearity', 'arises', 'between', 'two', 'weak', 'probe', 'fields', 'as', 'a', 'development', 'on', 'earlier', 'work', 'we', 'show', 'in', 'general', 'that', 'the', 'atom', 'will', 'also', 'display', 'a', 'linear', 'and', 'selfkerr', 'response', 'however', 'if', 'certain', 'resonance', 'conditions', 'are', 'satisfied', 'then', 'the', 'linear', 'and', 'selfkerr', 'interactions', 'will', 'vanish', 'the', 'electrical', 'susceptibilities', 'of', 'the', 'probe', 'transitions', 'are', 'also', 'explored', 'and', 'it', 'is', 'shown', 'that', 'a', 'large', 'pure', 'crosskerr', 'nonlinearity', 'can', 'be', 'generated', 'with', 'vanishing', 'absorption', 'of', 'both', 'probe', 'fields']] | [-0.1585797333753062, 0.22625564667170198, -0.03900989293611328, 0.052419060873979864, -0.06723590178677397, -0.2082019018832124, -0.01756380643080739, 0.3726632645335591, -0.24370784958365635, -0.24914205573426867, 0.058360565347524665, -0.28036008764383863, -0.13562374792595222, 0.1798775541229915, 0.05020812445292498, -0.0008656895873182029, 0.03991715716722521, 0.02820002685472803, -0.04012029022159218, -0.23047078455102096, 0.34411800865228603, -0.02111860379594767, 0.2702186474648928, 0.0762802801429502, 0.1076995665840443, 0.0041329158397698865, 0.06444019657894245, 0.06829751640992257, -0.08356976323352462, 0.057846413385032595, 0.23808438779370297, 0.03488964636841771, 0.23860988966234534, -0.4515593598316451, -0.19798673145943185, 0.10909257471127418, 0.11892513359345279, 0.1842612173968872, -0.0674964990658975, -0.30171652727769416, 0.001207899953265792, -0.13474612834962826, -0.13234177528365146, -0.11681863910618048, -0.006000296443302944, 0.04918844286619134, -0.32441669671109075, 0.031765265279795375, 0.06560973520277665, 0.03080617878766893, -0.06406464343619289, -0.024589366472814487, -0.04248951241663359, 0.058771213807348725, -0.0248381346486762, -0.004635257533416875, 0.13295424999036257, -0.15376950957749075, -0.06498868785599626, 0.36954608291966246, -0.13797666455926463, -0.17560077011268765, 0.19491138460241186, -0.15033891091792329, -0.0976249690673956, 0.085723347044143, 0.1421468705933505, 0.06369746224593045, -0.15936836930180026, 0.10454378602404636, -0.016761918900335588, 0.18609840504698527, 0.08114705180966304, 0.10004759187758132, 0.16992369388203019, 0.10390720908638561, 0.06884326304657186, 0.1715370169196513, -0.05838421588646049, -0.051332772845058765, -0.29151010358235935, -0.12986396601224698, -0.17937956029296065, 0.09497823259675676, -0.047677200970814106, -0.11856593060939012, 0.3845001002411964, 0.12129931466301307, 0.1448900629268977, -0.0371210790099124, 0.28040622905330753, 0.19156028234368208, 0.05982379575522201, -0.00222542793919486, 0.35686251448774803, 0.17185889521288206, 0.07216302891831519, -0.2682053637736052, 0.005515613805647325, 0.005348996015138997] |
711.1809 | Comparison of phase-field models for surface diffusion | The description of surface-diffusion controlled dynamics via the phase-field
method is less trivial than it appears at first sight. A seemingly
straightforward approach from the literature is shown to fail to produce the
correct asymptotics, albeit in a subtle manner. Two models are constructed that
approximate known sharp-interface equations without adding undesired
constraints. Linear stability of a planar interface is investigated for the
resulting phase-field equations and shown to reduce to the desired limit.
Finally, numerical simulations of the standard and a more sophisticated model
from the literature as well as of our two new models are performed to assess
the relative merits of each approach. The results suggest superior performance
of the new models in at least some situations.
| physics.comp-ph | the description of surfacediffusion controlled dynamics via the phasefield method is less trivial than it appears at first sight a seemingly straightforward approach from the literature is shown to fail to produce the correct asymptotics albeit in a subtle manner two models are constructed that approximate known sharpinterface equations without adding undesired constraints linear stability of a planar interface is investigated for the resulting phasefield equations and shown to reduce to the desired limit finally numerical simulations of the standard and a more sophisticated model from the literature as well as of our two new models are performed to assess the relative merits of each approach the results suggest superior performance of the new models in at least some situations | [['the', 'description', 'of', 'surfacediffusion', 'controlled', 'dynamics', 'via', 'the', 'phasefield', 'method', 'is', 'less', 'trivial', 'than', 'it', 'appears', 'at', 'first', 'sight', 'a', 'seemingly', 'straightforward', 'approach', 'from', 'the', 'literature', 'is', 'shown', 'to', 'fail', 'to', 'produce', 'the', 'correct', 'asymptotics', 'albeit', 'in', 'a', 'subtle', 'manner', 'two', 'models', 'are', 'constructed', 'that', 'approximate', 'known', 'sharpinterface', 'equations', 'without', 'adding', 'undesired', 'constraints', 'linear', 'stability', 'of', 'a', 'planar', 'interface', 'is', 'investigated', 'for', 'the', 'resulting', 'phasefield', 'equations', 'and', 'shown', 'to', 'reduce', 'to', 'the', 'desired', 'limit', 'finally', 'numerical', 'simulations', 'of', 'the', 'standard', 'and', 'a', 'more', 'sophisticated', 'model', 'from', 'the', 'literature', 'as', 'well', 'as', 'of', 'our', 'two', 'new', 'models', 'are', 'performed', 'to', 'assess', 'the', 'relative', 'merits', 'of', 'each', 'approach', 'the', 'results', 'suggest', 'superior', 'performance', 'of', 'the', 'new', 'models', 'in', 'at', 'least', 'some', 'situations']] | [-0.0594286488534029, 0.019425518387773386, -0.10882858568802475, 0.07861906971374992, -0.0751792651678746, -0.15567236319572356, 0.02395259535793836, 0.35385418489264947, -0.2560059929814694, -0.32185028806804133, 0.08633161925245077, -0.25968221004586667, -0.15496399702193836, 0.23121630068053492, -0.05533400272446064, 0.08268881298912069, 0.06784085149411112, 0.012640711556499203, -0.10617916604048029, -0.22667011604062282, 0.2554995168330303, 0.05865205118898302, 0.28623458561487497, 0.014597396864943827, 0.09734946395037695, -0.07025446792310201, -0.03203962963428542, 0.06215853627072647, -0.12640419425861182, 0.1017926157762607, 0.2258091345936009, 0.059772376894640426, 0.26767366567316153, -0.44371014427548894, -0.24710785769081364, 0.06312811542787435, 0.13923817823330562, 0.15978653822482253, -0.017843235150818752, -0.25634949867089746, 0.11280314449444025, -0.15752799086427938, -0.14166177018390347, -0.10390395833686246, -0.057256666442845015, 0.010847358219325542, -0.2638367999306259, 0.0682323594034339, 0.06701908407006461, 0.010692327157206213, -0.05223841820261441, -0.12548518042895013, -0.04930185161453361, 0.10464845177969741, 0.06786428601966084, -0.0009671004566674432, 0.08069978331914171, -0.13313644809726005, -0.10984875993647923, 0.4202477380322913, -0.05661061919636268, -0.234829275480782, 0.241945603932254, -0.0982681876552912, -0.1167915929943168, 0.1519584140429894, 0.14256075941957533, 0.15393397619676155, -0.1732989313158517, 0.03366804326554605, -0.009135311308394496, 0.15516893924213945, 0.032923286128789184, -0.018335693733145794, 0.1531243771489244, 0.16696210815377224, 0.05345678591790299, 0.14399313403700945, -0.03908466019590075, -0.15044973278418183, -0.31232195689032477, -0.09691331083886326, -0.14491199273616076, -0.008929363742936403, -0.08570517189388435, -0.15679478891494605, 0.36197259372565893, 0.2094994948381403, 0.1948734801611863, 0.06869048099033534, 0.3267717919933299, 0.11561877820252751, 0.050380873984734835, 0.04351058403262868, 0.25643135804881845, 0.12211693484957019, 0.06423527173077066, -0.20726929629502897, 0.0854322329396382, 0.05802156265514592] |
711.181 | Low temperature dephasing in irradiated metallic wires | We present phase coherence time measurements in quasi-one-dimensional Ag
wires implanted with Ag$^{+}$ ions with an energy of $100 keV$. The
measurements have been carried out in the temperature range from $100 mK$ up to
$10 K$; this has to be compared with the Kondo temperature of iron in silver,
i.e. $T_{K}^{Ag/Fe} \approx 4 K$, used in recent experiments on dephasing in
Kondo systems\cite{mallet_prl_06,birge_prl_06}. We show that the phase
coherence time is not affected by the implantation procedure, clearly proving
that ion implantation process by itself \emph{does not lead to any extra
dephasing} at low temperature.
| cond-mat.mes-hall | we present phase coherence time measurements in quasionedimensional ag wires implanted with ag ions with an energy of 100 kev the measurements have been carried out in the temperature range from 100 mk up to 10 k this has to be compared with the kondo temperature of iron in silver ie t_kagfe approx 4 k used in recent experiments on dephasing in kondo systemscitemallet_prl_06birge_prl_06 we show that the phase coherence time is not affected by the implantation procedure clearly proving that ion implantation process by itself emphdoes not lead to any extra dephasing at low temperature | [['we', 'present', 'phase', 'coherence', 'time', 'measurements', 'in', 'quasionedimensional', 'ag', 'wires', 'implanted', 'with', 'ag', 'ions', 'with', 'an', 'energy', 'of', '100', 'kev', 'the', 'measurements', 'have', 'been', 'carried', 'out', 'in', 'the', 'temperature', 'range', 'from', '100', 'mk', 'up', 'to', '10', 'k', 'this', 'has', 'to', 'be', 'compared', 'with', 'the', 'kondo', 'temperature', 'of', 'iron', 'in', 'silver', 'ie', 't_kagfe', 'approx', '4', 'k', 'used', 'in', 'recent', 'experiments', 'on', 'dephasing', 'in', 'kondo', 'systemscitemallet_prl_06birge_prl_06', 'we', 'show', 'that', 'the', 'phase', 'coherence', 'time', 'is', 'not', 'affected', 'by', 'the', 'implantation', 'procedure', 'clearly', 'proving', 'that', 'ion', 'implantation', 'process', 'by', 'itself', 'emphdoes', 'not', 'lead', 'to', 'any', 'extra', 'dephasing', 'at', 'low', 'temperature']] | [-0.06446939124725759, 0.25115873509949255, -0.04571891546328651, -0.037538882609275806, 0.07066912317717884, -0.17906073621533652, 0.07481485792742844, 0.45856692668228866, -0.22869981458767297, -0.34197247023396987, 0.04473123641342836, -0.33890883437298397, 0.02260473793114912, 0.1897522649217516, 0.004897170265433081, 0.011373097581065637, 0.023499907331263767, 0.008303617147055077, -0.09943847981172595, -0.26855669581787067, 0.21645238787490637, 0.11305140881264146, 0.25543894884151785, 0.14748420031553017, 0.03389952388255203, -0.03262099151331139, 0.09837058489706288, 0.026728206433038762, -0.12548295836081416, -0.039289899190214084, 0.2865299163732995, -0.0025130701678596993, 0.2114769426035754, -0.444199463194038, -0.2292316715837397, 0.06370650302182804, 0.14304389753081698, 0.10319909020426109, -0.06843692425544315, -0.252687334073113, 0.08529239738895063, -0.12397516136394536, -0.0750559228868719, -0.04462586306134596, -0.014413886019920415, -0.04940506278913706, -0.2239802249786543, 0.09908370114119842, 0.08417857166359875, 0.12536555265096275, -0.03600117714798197, -0.12325776366398056, 0.0058841494338071725, 0.006816613606791547, 0.02163266815570867, 0.049677716365004794, 0.2016534199938178, -0.0029868128872971903, -0.08452663894128451, 0.3204346618991583, -0.11019408077675294, -0.05449916434999397, 0.17908030381039816, -0.21582922004497648, -0.06990387418029949, 0.2412369628734094, 0.09452806303198351, 0.12101906883292535, -0.14936686159567314, 0.061924028307251494, 0.012872831250709343, 0.23870337098556543, 0.08534178895469596, 0.05088303150965812, 0.19517267093141663, 0.19236679240427118, 0.030851532321205324, 0.12486710091894913, -0.15015854887376995, 0.014772274719670098, -0.2097500302491987, -0.14901499259979167, -0.19686757121235132, 0.09915563102812813, -0.07094888308672531, -0.08315011852995512, 0.36801925455120965, 0.1993048216037928, 0.22485118995400818, -0.05441211137246895, 0.2275420797176342, 0.09652187545199264, 0.12132001621648669, 0.06316094011801512, 0.2412437409301229, 0.15620014746673405, 0.13284157815468597, -0.3053899464479826, 0.06245812358696291, -0.03587370081074001] |
711.1811 | MEMS-Based Optical Beam Steering System for Quantum Information
Processing in 2D Atomic Systems | In order to provide scalability to quantum information processors utilizing
trapped atoms or ions as quantum bits (qubits), the capability to address
multiple individual qubits in a large array is needed. Micro-electromechanical
systems (MEMS) technology can be used to create a flexible and scalable optical
system to direct the necessary laser beams to multiple qubit locations. We
developed beam steering optics using controllable MEMS mirrors that enable one
laser beam to address multiple qubit locations in a 2 dimensional trap lattice.
MEMS mirror settling times of 10 us were demonstrated which allow for fast
access time between qubits.
| physics.atom-ph physics.optics | in order to provide scalability to quantum information processors utilizing trapped atoms or ions as quantum bits qubits the capability to address multiple individual qubits in a large array is needed microelectromechanical systems mems technology can be used to create a flexible and scalable optical system to direct the necessary laser beams to multiple qubit locations we developed beam steering optics using controllable mems mirrors that enable one laser beam to address multiple qubit locations in a 2 dimensional trap lattice mems mirror settling times of 10 us were demonstrated which allow for fast access time between qubits | [['in', 'order', 'to', 'provide', 'scalability', 'to', 'quantum', 'information', 'processors', 'utilizing', 'trapped', 'atoms', 'or', 'ions', 'as', 'quantum', 'bits', 'qubits', 'the', 'capability', 'to', 'address', 'multiple', 'individual', 'qubits', 'in', 'a', 'large', 'array', 'is', 'needed', 'microelectromechanical', 'systems', 'mems', 'technology', 'can', 'be', 'used', 'to', 'create', 'a', 'flexible', 'and', 'scalable', 'optical', 'system', 'to', 'direct', 'the', 'necessary', 'laser', 'beams', 'to', 'multiple', 'qubit', 'locations', 'we', 'developed', 'beam', 'steering', 'optics', 'using', 'controllable', 'mems', 'mirrors', 'that', 'enable', 'one', 'laser', 'beam', 'to', 'address', 'multiple', 'qubit', 'locations', 'in', 'a', '2', 'dimensional', 'trap', 'lattice', 'mems', 'mirror', 'settling', 'times', 'of', '10', 'us', 'were', 'demonstrated', 'which', 'allow', 'for', 'fast', 'access', 'time', 'between', 'qubits']] | [-0.16536433394637187, 0.17993008275753913, 0.01003089182230891, -0.028438801017746672, -0.036802270459201265, -0.33331473525708577, 0.035908687710096795, 0.47490186041829235, -0.21905765922892154, -0.3335726608959388, 0.05917079447013117, -0.2222092566555556, -0.015189709024841194, 0.26669355208880974, -0.082787103700328, 0.18606847594016973, 0.07984788532425859, -0.08544510645448582, -0.0004278025408726832, -0.2373790875248307, 0.18078906746695236, 0.08570167135532793, 0.29868689830395945, -0.009660213515732666, 0.16441848913768345, 0.017782597172986334, 0.08365329003379661, -0.06126565376667268, -0.08508362393264661, 0.16001394707994648, 0.32699437635922235, 0.07351671190628288, 0.2711295658456428, -0.5666633470516119, -0.1948666084861877, 0.06527117085738146, 0.1476247431567813, 0.18883958758610508, -0.040269864967796117, -0.2981442247365354, -0.00645969212958019, -0.17141450520566837, -0.15320177174800512, -0.11006333494596944, -0.018075840129536027, 0.03607812071485179, -0.2913863099731353, -0.06172480142903419, 0.0022415212564626517, 0.034955471673296115, 0.037342753869538406, 0.005653825984098853, 0.09317057375435014, 0.1288540185291358, -0.1168673195595834, 0.004537495037265198, 0.20345989967297232, -0.0462212165333099, -0.15164314994436442, 0.35382417708217184, 0.018563944605245655, -0.18642209749668837, 0.20042254994338266, -0.12622986158013952, -0.0269353074658358, 0.1096649811964254, 0.25004066066930486, 0.05246738876615252, -0.17817794091700176, -0.022789940409652168, 0.07901829705402559, 0.2942615113582234, 0.15090428795475436, 0.13536082086989618, 0.2413399023840166, 0.17229472843892113, 0.12592089070691442, 0.16509754191585152, -0.12814847122383666, -0.07564324499773127, -0.19548285579277982, -0.20392521852817463, -0.21907279049331435, 0.0818466738493619, -0.033956646292775686, -0.09074800385029189, 0.35735461388581563, 0.16972673943382688, 0.11574242452672702, -0.059005505900725494, 0.35659389220634286, 0.05033213742984915, 0.14425823177990257, 0.027745287594556505, 0.2047761309587834, 0.16630518731271507, 0.13182938827809934, -0.2388127813239259, -0.057923778288104404, -0.013938391856773168] |
711.1812 | The Neutron Star Crust: Nuclear Physics Input | A fully self-consistent model of the neutron star inner crust based upon
models of the nucleonic equation of state at zero temperature is constructed.
The results nearly match those of previous calculations of the inner crust
given the same input equation of state. The extent to which the uncertainties
in the symmetry energy, the compressibility, and the equation of state of
low-density neutron matter affect the composition of the crust are examined.
The composition and pressure of the crust is sensitive to the description of
low-density neutron matter and the nuclear symmetry energy, and the latter
dependence is non-monotonic, giving larger nuclei for moderate symmetry
energies and smaller nuclei for more extreme symmetry energies. Future nuclear
experiments may help constrain the crust and future astrophysical observations
may constrain the nuclear physics input.
| nucl-th astro-ph | a fully selfconsistent model of the neutron star inner crust based upon models of the nucleonic equation of state at zero temperature is constructed the results nearly match those of previous calculations of the inner crust given the same input equation of state the extent to which the uncertainties in the symmetry energy the compressibility and the equation of state of lowdensity neutron matter affect the composition of the crust are examined the composition and pressure of the crust is sensitive to the description of lowdensity neutron matter and the nuclear symmetry energy and the latter dependence is nonmonotonic giving larger nuclei for moderate symmetry energies and smaller nuclei for more extreme symmetry energies future nuclear experiments may help constrain the crust and future astrophysical observations may constrain the nuclear physics input | [['a', 'fully', 'selfconsistent', 'model', 'of', 'the', 'neutron', 'star', 'inner', 'crust', 'based', 'upon', 'models', 'of', 'the', 'nucleonic', 'equation', 'of', 'state', 'at', 'zero', 'temperature', 'is', 'constructed', 'the', 'results', 'nearly', 'match', 'those', 'of', 'previous', 'calculations', 'of', 'the', 'inner', 'crust', 'given', 'the', 'same', 'input', 'equation', 'of', 'state', 'the', 'extent', 'to', 'which', 'the', 'uncertainties', 'in', 'the', 'symmetry', 'energy', 'the', 'compressibility', 'and', 'the', 'equation', 'of', 'state', 'of', 'lowdensity', 'neutron', 'matter', 'affect', 'the', 'composition', 'of', 'the', 'crust', 'are', 'examined', 'the', 'composition', 'and', 'pressure', 'of', 'the', 'crust', 'is', 'sensitive', 'to', 'the', 'description', 'of', 'lowdensity', 'neutron', 'matter', 'and', 'the', 'nuclear', 'symmetry', 'energy', 'and', 'the', 'latter', 'dependence', 'is', 'nonmonotonic', 'giving', 'larger', 'nuclei', 'for', 'moderate', 'symmetry', 'energies', 'and', 'smaller', 'nuclei', 'for', 'more', 'extreme', 'symmetry', 'energies', 'future', 'nuclear', 'experiments', 'may', 'help', 'constrain', 'the', 'crust', 'and', 'future', 'astrophysical', 'observations', 'may', 'constrain', 'the', 'nuclear', 'physics', 'input']] | [-0.06869501350218232, 0.23143364484492462, -0.11511786117317212, 0.11077396540503921, -0.08751072315499187, -0.0411415247662896, 0.0314717607301039, 0.2828662773932923, -0.24207068481270902, -0.3399764103885514, 0.04965208891592214, -0.2760303068807292, 0.04150122320491143, 0.15585914104259713, 0.058746919579183064, 0.04199107132665107, 0.02564276034844983, 0.07714405904213588, -0.15492522825176516, -0.17983924247109276, 0.3303590677678585, 0.14469648518063355, 0.24365786476427634, 0.07506490558355863, 0.017905815236383314, -0.05036810232382832, -0.004524355048708843, -0.053579717830430265, -0.15032542761103038, 0.05668722118505023, 0.2505342435707379, 0.06465213955468216, 0.13191528707234698, -0.5120576772359059, -0.2547431574970357, 0.08274448240197009, 0.0837385665597112, 0.11009822086215894, -0.045101314235084414, -0.25942316059390025, 0.027729053523437346, -0.23079290675928915, -0.17900873063340303, -0.060861935525088375, 0.0008049313486977057, 0.040140232614551984, -0.2272756539433348, 0.12693324012533677, 0.064258680049203, -0.025622301456788784, -0.1896379247420665, -0.19799825687258624, -0.05482444646027447, 0.05302165640574513, 0.05117295726967947, 0.037687117004569504, 0.20703659099385593, -0.19618787154357767, 0.017463338049834198, 0.395019787511873, -0.005866539375292081, -0.08532510140106421, 0.1690759861252666, -0.21515163427190573, -0.11724698930541336, 0.155956559502308, 0.16316467089310402, 0.11958485711577603, -0.12555701382260656, 0.05344836301413703, -0.03737438110207828, 0.1943246643764503, 0.02770701125017226, 0.04022296711407376, 0.2763863726815378, 0.20215077801240663, 0.006589685298615333, 0.06908503014093378, -0.13599512760463933, -0.10761567908621421, -0.30686220591958385, -0.06732729520422942, -0.1409759069651817, 0.008482503986945658, -0.10468413347707335, -0.11210046104635253, 0.3703018087103511, 0.07934747466457669, 0.15242377609353175, -0.046208446477645666, 0.2578011824128528, 0.08842291952477711, 0.06169918936211616, 0.08658055167038445, 0.3249975860711526, 0.2316502367964748, 0.06406298221554607, -0.3452313614600853, 0.10891178822158977, 0.01598160938980679] |
711.1813 | Modeling the Galactic CV Distribution for the ChaMPlane Survey | For purposes of designing targeted cataclysmic variable (CV) detection
surveys and interpreting results of other projects with many CV detections such
as the ChaMPlane Survey, we have created a model of the CV distribution in the
Galaxy. It is modeled as a warped, flared exponential disk with a gaussian
vertical distribution. Extinction is based on a detailed Galactic dust and gas
model. A luminosity function for CVs is also incorporated, based on a smoothed
version of published data. We calculate predicted field detection rates as a
function of the limiting magnitude expected for the detecting system (i.e.
WIYN/Hydra or NOAO 4m/Mosaic). Monte-Carlo techniques are used to assess
statistical fluctuations in these rates. We have created maps of the expected
CV distribution for the full non-bulge Galactic plane (20<l<340, |b|<15) for
use in both the ChaMPlane Survey and future CV surveys. Assuming a CV
distribution with a scale height of 160 pc, the ChaMPlane observational result
of 5 CVs in 13 northern fields is best fit by a CV local space density of
0.9^{+1.5}_{-0.5}*10^-5 pc^-3, with the range representing the 95% confidence
interval.
| astro-ph | for purposes of designing targeted cataclysmic variable cv detection surveys and interpreting results of other projects with many cv detections such as the champlane survey we have created a model of the cv distribution in the galaxy it is modeled as a warped flared exponential disk with a gaussian vertical distribution extinction is based on a detailed galactic dust and gas model a luminosity function for cvs is also incorporated based on a smoothed version of published data we calculate predicted field detection rates as a function of the limiting magnitude expected for the detecting system ie wiynhydra or noao 4mmosaic montecarlo techniques are used to assess statistical fluctuations in these rates we have created maps of the expected cv distribution for the full nonbulge galactic plane 20l340 b15 for use in both the champlane survey and future cv surveys assuming a cv distribution with a scale height of 160 pc the champlane observational result of 5 cvs in 13 northern fields is best fit by a cv local space density of 0915_05105 pc3 with the range representing the 95 confidence interval | [['for', 'purposes', 'of', 'designing', 'targeted', 'cataclysmic', 'variable', 'cv', 'detection', 'surveys', 'and', 'interpreting', 'results', 'of', 'other', 'projects', 'with', 'many', 'cv', 'detections', 'such', 'as', 'the', 'champlane', 'survey', 'we', 'have', 'created', 'a', 'model', 'of', 'the', 'cv', 'distribution', 'in', 'the', 'galaxy', 'it', 'is', 'modeled', 'as', 'a', 'warped', 'flared', 'exponential', 'disk', 'with', 'a', 'gaussian', 'vertical', 'distribution', 'extinction', 'is', 'based', 'on', 'a', 'detailed', 'galactic', 'dust', 'and', 'gas', 'model', 'a', 'luminosity', 'function', 'for', 'cvs', 'is', 'also', 'incorporated', 'based', 'on', 'a', 'smoothed', 'version', 'of', 'published', 'data', 'we', 'calculate', 'predicted', 'field', 'detection', 'rates', 'as', 'a', 'function', 'of', 'the', 'limiting', 'magnitude', 'expected', 'for', 'the', 'detecting', 'system', 'ie', 'wiynhydra', 'or', 'noao', '4mmosaic', 'montecarlo', 'techniques', 'are', 'used', 'to', 'assess', 'statistical', 'fluctuations', 'in', 'these', 'rates', 'we', 'have', 'created', 'maps', 'of', 'the', 'expected', 'cv', 'distribution', 'for', 'the', 'full', 'nonbulge', 'galactic', 'plane', '20l340', 'b15', 'for', 'use', 'in', 'both', 'the', 'champlane', 'survey', 'and', 'future', 'cv', 'surveys', 'assuming', 'a', 'cv', 'distribution', 'with', 'a', 'scale', 'height', 'of', '160', 'pc', 'the', 'champlane', 'observational', 'result', 'of', '5', 'cvs', 'in', '13', 'northern', 'fields', 'is', 'best', 'fit', 'by', 'a', 'cv', 'local', 'space', 'density', 'of', '0915_05105', 'pc3', 'with', 'the', 'range', 'representing', 'the', '95', 'confidence', 'interval']] | [-0.07799963518065463, 0.04693973823869078, -0.08216203042905088, 0.11991647060625674, -0.04582250087124327, -0.08520107884927956, 0.07059305231348517, 0.38051199743503267, -0.17833255012676621, -0.36114111715624253, 0.12835445726719383, -0.28112003876921837, -0.030725917736070984, 0.2473196254165456, -0.019657434384846077, 0.049957669104627345, 0.03876390020896712, -0.05369153463548531, -0.036162004491518344, -0.2685406509756759, 0.265452661126423, 0.07691593605794766, 0.21214495502507805, -0.050722098107491564, 0.07824850961987159, -0.0016729966724249588, -0.09506560070963388, -0.0023728785854882006, -0.14519515737163274, 0.07143969316652903, 0.23045596837332954, 0.17097651785281434, 0.24571482094234964, -0.32781386828138964, -0.25503619184738463, 0.10109165673186019, 0.16000912730644845, 0.03934795238872927, -0.05615786024044906, -0.25218461878503556, 0.05981909824120603, -0.19762289581632012, -0.1588911128340268, 0.026023452379479166, 0.03893092895264141, 0.07486642348930617, -0.26472941314895754, 0.11352250373806527, 0.007566956813012909, 0.1335218775091337, -0.11115522000917726, -0.15167456510505545, -0.053635024667058266, 0.06337325472556044, -0.013608611866392279, 0.10539362117846947, 0.1683955250041078, -0.15753087332064097, -0.08185372197820041, 0.3593070769428767, -0.12916215195116493, -0.10440289360089122, 0.15007511535437065, -0.1637665699733149, -0.15181695173096874, 0.08139866666235239, 0.19026895789063294, 0.1306229414250911, -0.1639131768423478, 0.024997155041122557, -0.029038419332904637, 0.18284783385735884, -0.003878771944829587, 0.042218735899460326, 0.28620563431778984, 0.143265098587118, 0.04136056835688598, 0.13711056420272164, -0.28203243303857123, -0.08188031316902279, -0.2773000975662654, -0.12874718351430897, -0.17127370124544133, 0.07791107755122978, -0.09453721666485242, -0.14484044975402316, 0.3790320746072181, 0.13797004822264897, 0.2240010257767843, 0.05235006070952193, 0.2874061507931544, 0.11600836230706152, 0.08638551336545706, 0.09420173888413066, 0.24558398777257986, 0.13995438290817475, 0.06991269370656084, -0.13307623421770698, 0.09879031779474756, -0.030039389946058478] |
711.1814 | Building Rules on Top of Ontologies for the Semantic Web with Inductive
Logic Programming | Building rules on top of ontologies is the ultimate goal of the logical layer
of the Semantic Web. To this aim an ad-hoc mark-up language for this layer is
currently under discussion. It is intended to follow the tradition of hybrid
knowledge representation and reasoning systems such as $\mathcal{AL}$-log that
integrates the description logic $\mathcal{ALC}$ and the function-free Horn
clausal language \textsc{Datalog}. In this paper we consider the problem of
automating the acquisition of these rules for the Semantic Web. We propose a
general framework for rule induction that adopts the methodological apparatus
of Inductive Logic Programming and relies on the expressive and deductive power
of $\mathcal{AL}$-log. The framework is valid whatever the scope of induction
(description vs. prediction) is. Yet, for illustrative purposes, we also
discuss an instantiation of the framework which aims at description and turns
out to be useful in Ontology Refinement.
Keywords: Inductive Logic Programming, Hybrid Knowledge Representation and
Reasoning Systems, Ontologies, Semantic Web.
Note: To appear in Theory and Practice of Logic Programming (TPLP)
| cs.AI cs.LG | building rules on top of ontologies is the ultimate goal of the logical layer of the semantic web to this aim an adhoc markup language for this layer is currently under discussion it is intended to follow the tradition of hybrid knowledge representation and reasoning systems such as mathcalallog that integrates the description logic mathcalalc and the functionfree horn clausal language textscdatalog in this paper we consider the problem of automating the acquisition of these rules for the semantic web we propose a general framework for rule induction that adopts the methodological apparatus of inductive logic programming and relies on the expressive and deductive power of mathcalallog the framework is valid whatever the scope of induction description vs prediction is yet for illustrative purposes we also discuss an instantiation of the framework which aims at description and turns out to be useful in ontology refinement keywords inductive logic programming hybrid knowledge representation and reasoning systems ontologies semantic web note to appear in theory and practice of logic programming tplp | [['building', 'rules', 'on', 'top', 'of', 'ontologies', 'is', 'the', 'ultimate', 'goal', 'of', 'the', 'logical', 'layer', 'of', 'the', 'semantic', 'web', 'to', 'this', 'aim', 'an', 'adhoc', 'markup', 'language', 'for', 'this', 'layer', 'is', 'currently', 'under', 'discussion', 'it', 'is', 'intended', 'to', 'follow', 'the', 'tradition', 'of', 'hybrid', 'knowledge', 'representation', 'and', 'reasoning', 'systems', 'such', 'as', 'mathcalallog', 'that', 'integrates', 'the', 'description', 'logic', 'mathcalalc', 'and', 'the', 'functionfree', 'horn', 'clausal', 'language', 'textscdatalog', 'in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'automating', 'the', 'acquisition', 'of', 'these', 'rules', 'for', 'the', 'semantic', 'web', 'we', 'propose', 'a', 'general', 'framework', 'for', 'rule', 'induction', 'that', 'adopts', 'the', 'methodological', 'apparatus', 'of', 'inductive', 'logic', 'programming', 'and', 'relies', 'on', 'the', 'expressive', 'and', 'deductive', 'power', 'of', 'mathcalallog', 'the', 'framework', 'is', 'valid', 'whatever', 'the', 'scope', 'of', 'induction', 'description', 'vs', 'prediction', 'is', 'yet', 'for', 'illustrative', 'purposes', 'we', 'also', 'discuss', 'an', 'instantiation', 'of', 'the', 'framework', 'which', 'aims', 'at', 'description', 'and', 'turns', 'out', 'to', 'be', 'useful', 'in', 'ontology', 'refinement', 'keywords', 'inductive', 'logic', 'programming', 'hybrid', 'knowledge', 'representation', 'and', 'reasoning', 'systems', 'ontologies', 'semantic', 'web', 'note', 'to', 'appear', 'in', 'theory', 'and', 'practice', 'of', 'logic', 'programming', 'tplp']] | [-0.08702767638108098, -0.017366196248920197, -0.07927891831558916, 0.10740714359794272, -0.20346557798638312, -0.1238150050869234, 0.08973595409104264, 0.36478445695780487, -0.29224903343795205, -0.32638248016900684, 0.05655919703064453, -0.2078724458984784, -0.1315834595378578, 0.1634373638795756, -0.12321524113046387, 0.05031511438898293, 0.027663480134187155, 0.06601087856723602, -0.02673898810935936, -0.1925549573189276, 0.3351242111530155, 0.04414016991315118, 0.33093012792495896, 0.08281149897347093, 0.10745154317888832, 0.052681742637160134, -0.03819225861197225, 0.0010678055303463016, -0.08362864506129716, 0.19710741685955863, 0.4231238905803289, 0.2982755840520363, 0.30643163999004, -0.4547722491222512, -0.12254317530293399, -0.01562829293781914, 0.09975355895480185, 0.10674230033792667, 0.017528774526744454, -0.2854397849022714, 0.09386538833390966, -0.2083130977397044, -0.024812103837520916, -0.12427517476615059, 0.031646460054879894, -0.024893648136990618, -0.23803793322659625, -0.04933920331703953, 0.2162562034549388, 0.12951355931315436, -0.040710122875745845, -0.10155327483963962, 0.060890070131856454, 0.0886802714940789, -0.025262363910736763, 0.019830810562539172, 0.14354352098440817, -0.11947795143771738, -0.18219360801656395, 0.3835916896070163, -7.055273156119399e-05, -0.1966747878370414, 0.17533331807753272, -0.016348035147705352, -0.20051898860585798, 0.026446908420647484, 0.16095130581195544, 0.1269162614066827, -0.22411818783561957, 0.1220421799748199, -0.01952429203714906, 0.23597926998241658, 0.07285003458901522, 0.011859129786460537, 0.2535451897924923, 0.2876625239220728, 0.008053917238623443, 0.141816836758657, 0.020754059602742094, -0.12624662290663874, -0.32162572692866515, -0.1923770344681499, -0.09540634864312877, -0.05280411900694381, -0.06138466077469954, -0.18371249136798284, 0.3578918783067086, 0.22866852990497488, 0.06141143595184065, 0.12455618198391566, 0.3339150904015784, 0.09411349781741198, 0.10249864981027253, 0.03278215500211949, 0.13803100833074605, 0.09661561244585361, 0.18345913197143923, -0.12860682728442263, 0.11859005680609304, 0.08975673493710402] |
711.1815 | Using Quantitative Spectroscopic Analysis to Determine the Properties
and Distances of Type II-Plateau Supernovae: SNe 2005cs and 2006bp | We analyze the Type II Plateau supernovae (SN II-P) 2005cs and 2006bp with
the non-LTE model atmosphere code CMFGEN. We fit 13 spectra in the first month
for SN 2005cs and 18 for SN 2006bp. {\sl Swift} ultraviolet photometry and
ground-based optical photometry calibrate each spectrum. Our analysis shows
both objects were discovered less than 3 days after they exploded, making these
the earliest SN II-P spectra ever studied. They reveal broad and very weak
lines from highly-ionized fast ejecta with an extremely steep density profile.
We identify He{\sc ii} 4686\AA emission in the SN 2006bp ejecta. Days later,
the spectra resemble the prototypical Type II-P SN 1999em, which had a
supergiant-like photospheric composition. Despite the association of SN 2005cs
with possible X-ray emission, the emergent UV and optical light comes from the
photosphere, not from circumstellar emission.
We surmise that the very steep density fall-off we infer at early times may
be a fossil of the combined actions of the shock wave passage and radiation
driving at shock breakout. Based on tailored CMFGEN models, the direct-fitting
technique and the Expanding Photosphere Method both yield distances and
explosion times that agree within a few percent. We derive a distance to NGC
5194, the host of SN 2005cs, of 8.9$\pm$0.5 Mpc and 17.5$\pm$0.8 Mpc for SN
2006bp in NGC 3953. The luminosity of SN 2006bp is 1.5 times that of SN 1999em,
and 6 times that of SN 2005cs. Reliable distances to Type II-P supernovae that
do not depend on a small range in luminosity provide an independent route to
the Hubble Constant and improved constraints on other cosmological parameters.
| astro-ph | we analyze the type ii plateau supernovae sn iip 2005cs and 2006bp with the nonlte model atmosphere code cmfgen we fit 13 spectra in the first month for sn 2005cs and 18 for sn 2006bp sl swift ultraviolet photometry and groundbased optical photometry calibrate each spectrum our analysis shows both objects were discovered less than 3 days after they exploded making these the earliest sn iip spectra ever studied they reveal broad and very weak lines from highlyionized fast ejecta with an extremely steep density profile we identify hesc ii 4686aa emission in the sn 2006bp ejecta days later the spectra resemble the prototypical type iip sn 1999em which had a supergiantlike photospheric composition despite the association of sn 2005cs with possible xray emission the emergent uv and optical light comes from the photosphere not from circumstellar emission we surmise that the very steep density falloff we infer at early times may be a fossil of the combined actions of the shock wave passage and radiation driving at shock breakout based on tailored cmfgen models the directfitting technique and the expanding photosphere method both yield distances and explosion times that agree within a few percent we derive a distance to ngc 5194 the host of sn 2005cs of 89pm05 mpc and 175pm08 mpc for sn 2006bp in ngc 3953 the luminosity of sn 2006bp is 15 times that of sn 1999em and 6 times that of sn 2005cs reliable distances to type iip supernovae that do not depend on a small range in luminosity provide an independent route to the hubble constant and improved constraints on other cosmological parameters | [['we', 'analyze', 'the', 'type', 'ii', 'plateau', 'supernovae', 'sn', 'iip', '2005cs', 'and', '2006bp', 'with', 'the', 'nonlte', 'model', 'atmosphere', 'code', 'cmfgen', 'we', 'fit', '13', 'spectra', 'in', 'the', 'first', 'month', 'for', 'sn', '2005cs', 'and', '18', 'for', 'sn', '2006bp', 'sl', 'swift', 'ultraviolet', 'photometry', 'and', 'groundbased', 'optical', 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'constraints', 'on', 'other', 'cosmological', 'parameters']] | [0.009688548209272663, 0.041319892057799734, -0.06807558943348174, 0.1330232622511341, -0.12848772096031374, -0.17351242371638143, 0.060486537410972895, 0.4990487365814095, -0.1464026248440584, -0.3020330502926795, 0.07752247501930194, -0.3189759202492, -0.006807137929806204, 0.217585089260617, -0.028318180338442977, -0.09103373092269369, 0.13789507242274174, -0.11277832725489023, -0.1124361150500728, -0.28767959671994037, 0.24975832515382068, 0.08997154426095111, 0.1729982091611336, -0.06370142155863119, 0.04075445148875147, -0.1111533007051824, -0.05429310090381257, -0.06353904821232638, -0.15918432252061449, 0.025511297252788525, 0.16085830103283474, 0.18577545296127276, 0.15668140036039846, -0.3993325837760825, -0.2798834913374969, 0.08783654037291523, 0.2008165193370642, 0.043685736990400154, -0.019517630186535163, -0.26135165572067665, 0.037966098322420185, -0.20967089761203775, -0.17680008747530254, 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711.1816 | Evidence for radial flow of thermal dileptons in high-energy nuclear
collisions | The NA60 experiment at the CERN SPS has studied low-mass dimuon production in
158 AGeV In-In collisions. An excess of pairs above the known meson decays has
been reported before. We now present precision results on the associated
transverse momentum spectra. The slope parameter Teff extracted from the
spectra rises with dimuon mass up to the rho, followed by a sudden decline
above. While the initial rise is consistent with the expectations for radial
flow of a hadronic decay source, the decline signals a transition to an
emission source with much smaller flow. This may well represent the first
direct evidence for thermal radiation of partonic origin in nuclear collisions.
| nucl-ex | the na60 experiment at the cern sps has studied lowmass dimuon production in 158 agev inin collisions an excess of pairs above the known meson decays has been reported before we now present precision results on the associated transverse momentum spectra the slope parameter teff extracted from the spectra rises with dimuon mass up to the rho followed by a sudden decline above while the initial rise is consistent with the expectations for radial flow of a hadronic decay source the decline signals a transition to an emission source with much smaller flow this may well represent the first direct evidence for thermal radiation of partonic origin in nuclear collisions | [['the', 'na60', 'experiment', 'at', 'the', 'cern', 'sps', 'has', 'studied', 'lowmass', 'dimuon', 'production', 'in', '158', 'agev', 'inin', 'collisions', 'an', 'excess', 'of', 'pairs', 'above', 'the', 'known', 'meson', 'decays', 'has', 'been', 'reported', 'before', 'we', 'now', 'present', 'precision', 'results', 'on', 'the', 'associated', 'transverse', 'momentum', 'spectra', 'the', 'slope', 'parameter', 'teff', 'extracted', 'from', 'the', 'spectra', 'rises', 'with', 'dimuon', 'mass', 'up', 'to', 'the', 'rho', 'followed', 'by', 'a', 'sudden', 'decline', 'above', 'while', 'the', 'initial', 'rise', 'is', 'consistent', 'with', 'the', 'expectations', 'for', 'radial', 'flow', 'of', 'a', 'hadronic', 'decay', 'source', 'the', 'decline', 'signals', 'a', 'transition', 'to', 'an', 'emission', 'source', 'with', 'much', 'smaller', 'flow', 'this', 'may', 'well', 'represent', 'the', 'first', 'direct', 'evidence', 'for', 'thermal', 'radiation', 'of', 'partonic', 'origin', 'in', 'nuclear', 'collisions']] | [-0.03463175939607688, 0.23750000980666797, -0.13993037152950735, 0.10609518495303663, -0.02785241458226334, -0.08336252181536773, -0.007654848509595137, 0.352730946208943, -0.1926104019946334, -0.3119280741634694, -0.02156576969322156, -0.3811757829886946, 0.0914756938815117, 0.17582261466675184, 0.037654520867561755, 0.08791240676073357, 0.09816075931726531, 0.0282549395670437, -0.07377544426443902, -0.15609804553572426, 0.279601730118421, 0.13227027381177653, 0.2137242072219537, 0.1273586128923026, 0.04000792794077742, -0.025144332346760414, -0.04399089536957697, -0.04402251948433166, -0.16420351555359297, -0.0007380730043885044, 0.23681130601008507, 0.07934466528875583, 0.15467521500011736, -0.29856946912848137, -0.16769789944466373, 0.12374202144565061, 0.16864667396823113, 0.07170534009029242, -0.11467940978049725, -0.2843303562141955, 0.07926531058990142, -0.21620274197564207, -0.14048358044925738, 0.021359958872199058, 0.03283433689397167, -0.05165236765910363, -0.28041510234840894, 0.1518980879209597, -0.031626921976831826, 0.10679445734289898, -0.0700238236099143, -0.18018596642650664, -0.05447823224927891, 0.042819318380630154, 0.10569221932567995, 0.1289877405368977, 0.17994620195928623, -0.14978379101323133, -0.13288816912311383, 0.3468152248215946, -0.07747227595272389, -0.02178566491823982, 0.1911290766925297, -0.21994889055971395, -0.1270527071785182, 0.25651607540520754, 0.20071547329637476, 0.0649216754658317, -0.2043455981183797, 0.006903837392614646, 0.0033448412929746236, 0.20034111902033064, 0.08479256575969471, 0.04028481916439804, 0.23274631001563234, 0.1927380210635337, -0.013255595496263017, 0.099485596423884, -0.1372553749840749, -0.062403673805635086, -0.3730640613489827, -0.05838649283925241, -0.11983863107267428, 0.0727851509963247, -0.026601998938448643, -0.06486845513467085, 0.3641351690346544, 0.04158076383279298, 0.3191015170633116, 0.040311485829509115, 0.30356826482086696, 0.14435463412241503, 0.09618635529398241, 0.11019865665161474, 0.33223825405267154, 0.18228013711685145, 0.22458188419272615, -0.27005002568264236, 0.0736458354417912, -0.01182649337517267] |
711.1817 | Gravitational force between two electrons in superconductors | The attractive gravitational force between two electrons in superconductors
is deduced from the Eddington-Dirac large number relation, together with Beck
and Mackey electromagnetic model of vacuum energy in superconductors. This
force is estimated to be weaker than the gravitational attraction between two
electrons in the vacuum.
| gr-qc | the attractive gravitational force between two electrons in superconductors is deduced from the eddingtondirac large number relation together with beck and mackey electromagnetic model of vacuum energy in superconductors this force is estimated to be weaker than the gravitational attraction between two electrons in the vacuum | [['the', 'attractive', 'gravitational', 'force', 'between', 'two', 'electrons', 'in', 'superconductors', 'is', 'deduced', 'from', 'the', 'eddingtondirac', 'large', 'number', 'relation', 'together', 'with', 'beck', 'and', 'mackey', 'electromagnetic', 'model', 'of', 'vacuum', 'energy', 'in', 'superconductors', 'this', 'force', 'is', 'estimated', 'to', 'be', 'weaker', 'than', 'the', 'gravitational', 'attraction', 'between', 'two', 'electrons', 'in', 'the', 'vacuum']] | [-0.16900733651386368, 0.2267740313688086, -0.07474194350134995, 0.14756547309096074, -0.06599814486172464, -0.1506740668995513, 0.00427325028512213, 0.3300500655546784, -0.23758997494975725, -0.3380588667260276, -0.09652240944560617, -0.30828558247950344, -0.047764796846442754, 0.20670926690412064, 0.02745718794564406, -0.03321074654037754, -0.05167446231676472, 0.01524083808892303, -0.04193305743651258, -0.1734510098894437, 0.35876026424682805, 0.04106095474627283, 0.2829313045574559, 0.08862790984825955, 0.04000284806307819, -0.010764456431691846, 0.03697215637399091, 0.04822039632126689, -0.10097151659429074, 0.08255068587346209, 0.19663454238325356, -0.03056237836782303, 0.25274204653170373, -0.47292607167683953, -0.18075103575570717, 0.13523905749122303, 0.05682475330928961, 0.14256127074153888, -0.038134050922882225, -0.3290554076433182, 0.01997602199100786, -0.18542614206671715, -0.09810789399262931, 0.015334726269874309, 0.05284469719562265, 0.047043563839462066, -0.2364276638151043, 0.10726084593786961, 0.004520844461189376, 0.026717498443192905, -0.13420342225581408, -0.07806388448095984, -0.013704858803086811, 0.016520591276801295, 0.17748363762835248, 0.10846218397426936, 0.12859650142490864, -0.1501571144029084, -0.027454052617152534, 0.37763404672344525, -0.08870319940518433, -0.15350979798369938, 0.2022131990537875, -0.17135097976360056, -0.02959011945252617, 0.1786672455155187, 0.054877083251873654, 0.02623111539416843, -0.18267021010526352, 0.0749055561907072, -0.027425827872422006, 0.11844708164119058, 0.11880865703440374, 0.06694281026721001, 0.26893962249159814, 0.11317326318886545, 0.015072108453346623, 0.14790516675501647, -0.06141050590409173, -0.03961333425508605, -0.2886318311509159, -0.1606285253746642, -0.2668153551717599, 0.04920667902463012, -0.10119805560744781, -0.11656373217701912, 0.30465637704150544, 0.16212516765420634, 0.13643550018055572, -0.023664250783622266, 0.28866300127572486, 0.07676110369567242, 0.07320128252936733, 0.05300240671883027, 0.39769476956377425, 0.18868207085049815, 0.08426836360659865, -0.2532730085516555, -0.020259533791492382, 0.12780333527674279] |
711.1818 | Local Exchange Potentials for Electronic Structure Calculations | The Hartree-Fock exchange operator is an integral operator arising in the
Hartree-Fock method and replaced by a multiplicative operator (a local
potential) in Kohn-Sham density functional theory. This article presents a
detailed analysis of the mathematical properties of various local
approximations to the nonlocal Hartree-Fock exchange operator, including the
Slater potential, the optimized effective potential (OEP), the
Krieger-Li-Iafrate (KLI) and common energy-denominator approximations (CEDA) to
the OEP, and the effective local potential (ELP). In particular, we show that
the Slater, KLI, CEDA potentials and the ELP can all be defined as solutions to
certain variational problems. We also provide a rigorous derivation of the
integral OEP equation and establish the existence of a solution to a system of
coupled nonlinear partial differential equations defining the Slater
approximation to the Hartree-Fock equations.
| quant-ph | the hartreefock exchange operator is an integral operator arising in the hartreefock method and replaced by a multiplicative operator a local potential in kohnsham density functional theory this article presents a detailed analysis of the mathematical properties of various local approximations to the nonlocal hartreefock exchange operator including the slater potential the optimized effective potential oep the kriegerliiafrate kli and common energydenominator approximations ceda to the oep and the effective local potential elp in particular we show that the slater kli ceda potentials and the elp can all be defined as solutions to certain variational problems we also provide a rigorous derivation of the integral oep equation and establish the existence of a solution to a system of coupled nonlinear partial differential equations defining the slater approximation to the hartreefock equations | [['the', 'hartreefock', 'exchange', 'operator', 'is', 'an', 'integral', 'operator', 'arising', 'in', 'the', 'hartreefock', 'method', 'and', 'replaced', 'by', 'a', 'multiplicative', 'operator', 'a', 'local', 'potential', 'in', 'kohnsham', 'density', 'functional', 'theory', 'this', 'article', 'presents', 'a', 'detailed', 'analysis', 'of', 'the', 'mathematical', 'properties', 'of', 'various', 'local', 'approximations', 'to', 'the', 'nonlocal', 'hartreefock', 'exchange', 'operator', 'including', 'the', 'slater', 'potential', 'the', 'optimized', 'effective', 'potential', 'oep', 'the', 'kriegerliiafrate', 'kli', 'and', 'common', 'energydenominator', 'approximations', 'ceda', 'to', 'the', 'oep', 'and', 'the', 'effective', 'local', 'potential', 'elp', 'in', 'particular', 'we', 'show', 'that', 'the', 'slater', 'kli', 'ceda', 'potentials', 'and', 'the', 'elp', 'can', 'all', 'be', 'defined', 'as', 'solutions', 'to', 'certain', 'variational', 'problems', 'we', 'also', 'provide', 'a', 'rigorous', 'derivation', 'of', 'the', 'integral', 'oep', 'equation', 'and', 'establish', 'the', 'existence', 'of', 'a', 'solution', 'to', 'a', 'system', 'of', 'coupled', 'nonlinear', 'partial', 'differential', 'equations', 'defining', 'the', 'slater', 'approximation', 'to', 'the', 'hartreefock', 'equations']] | [-0.14130102426100236, -0.01183989428312858, -0.1054330219340045, 0.12304765146691352, -0.06189849111967935, -0.11038828646191037, 0.04021947442625578, 0.28158590719103815, -0.293780323683929, -0.24391180433046358, 0.03215160908696887, -0.2997808897402138, -0.18010717992885755, 0.09548904543312696, 0.028156305505679203, 0.07969795639913242, 0.036471936414734674, 0.0003390277738127714, -0.17474988476337436, -0.20682691152368743, 0.3107188136657127, 0.03384853233225071, 0.1970188182277175, 0.10008144994499162, 0.08892206149892165, 0.03601829958184121, 0.05218807038707802, 0.013087222961565623, -0.11481480895247212, 0.16861566887595333, 0.25222603402172145, 0.04576710819338377, 0.3254571069016842, -0.47681384248515735, -0.19652584437997295, 0.04084836325626104, 0.10953939580895866, 0.1498877080802161, -0.047674423590517385, -0.3040983149495262, 0.029382988047571137, -0.21248111077226126, -0.1968873983499809, -0.16993832253994276, -0.022840177525694554, 0.09405104921271022, -0.32517604716838555, 0.1080222224165202, 0.01141457251058175, 0.015717136238415082, -0.14619941885511462, -0.13950106874018764, 0.007313506815654154, 0.024597924775802173, 0.010000889248644503, 0.05738699209088316, 0.07175404198754293, -0.10710309053807018, -0.04720680746249854, 0.36664340040431576, -0.09699638603219332, -0.26238888795218934, 0.13764940423604388, -0.0608805547002703, -0.07219736307899718, 0.09109925055303253, 0.09861255914259415, 0.15121343242219434, -0.24777955882107983, 0.1811290047091181, 0.00466774327841659, 0.11726603391938485, 0.03006794090884236, 0.0137992347483165, 0.058554110425309495, 0.07706497768835666, 0.11690853859226291, 0.07717055704426737, -0.00786798966045563, -0.18381040171505167, -0.32032968482145896, -0.13198687508030651, -0.1863343975873879, 0.061601015181244854, -0.09311681662992878, -0.24788157486428436, 0.43491571051283523, 0.12882488619249602, 0.08886402665923994, 0.02263155530851621, 0.25380026494654323, 0.2521352256245266, 0.04133256605396477, 0.030935192280090774, 0.20505332076348937, 0.19010397063281673, 0.09078857354963055, -0.26735139976148137, -0.010643525300726582, 0.16645508304847262] |
711.1819 | Spotlight Tiling | This article introduces spotlight tiling, a type of covering which is similar
to tiling. The distinguishing aspects of spotlight tiling are that the "tiles"
have elastic size, and that the order of placement is significant. Spotlight
tilings are decompositions, or coverings, and can be considered dynamic as
compared to typical static tiling methods. A thorough examination of spotlight
tilings of rectangles is presented, including the distribution of such tilings
according to size, and how the directions of the spotlights themselves are
distributed. The spotlight tilings of several other regions are studied, and
suggest that further analysis of spotlight tilings will continue to yield
elegant results and enumerations.
| math.CO | this article introduces spotlight tiling a type of covering which is similar to tiling the distinguishing aspects of spotlight tiling are that the tiles have elastic size and that the order of placement is significant spotlight tilings are decompositions or coverings and can be considered dynamic as compared to typical static tiling methods a thorough examination of spotlight tilings of rectangles is presented including the distribution of such tilings according to size and how the directions of the spotlights themselves are distributed the spotlight tilings of several other regions are studied and suggest that further analysis of spotlight tilings will continue to yield elegant results and enumerations | [['this', 'article', 'introduces', 'spotlight', 'tiling', 'a', 'type', 'of', 'covering', 'which', 'is', 'similar', 'to', 'tiling', 'the', 'distinguishing', 'aspects', 'of', 'spotlight', 'tiling', 'are', 'that', 'the', 'tiles', 'have', 'elastic', 'size', 'and', 'that', 'the', 'order', 'of', 'placement', 'is', 'significant', 'spotlight', 'tilings', 'are', 'decompositions', 'or', 'coverings', 'and', 'can', 'be', 'considered', 'dynamic', 'as', 'compared', 'to', 'typical', 'static', 'tiling', 'methods', 'a', 'thorough', 'examination', 'of', 'spotlight', 'tilings', 'of', 'rectangles', 'is', 'presented', 'including', 'the', 'distribution', 'of', 'such', 'tilings', 'according', 'to', 'size', 'and', 'how', 'the', 'directions', 'of', 'the', 'spotlights', 'themselves', 'are', 'distributed', 'the', 'spotlight', 'tilings', 'of', 'several', 'other', 'regions', 'are', 'studied', 'and', 'suggest', 'that', 'further', 'analysis', 'of', 'spotlight', 'tilings', 'will', 'continue', 'to', 'yield', 'elegant', 'results', 'and', 'enumerations']] | [-0.1304407669318335, 0.1258675227089672, -0.07698802209772587, 0.08068263380370477, -0.0915055684005476, -0.09495340191724354, 0.056789415429354964, 0.37370777321613835, -0.2659554364699348, -0.3044161672973744, 0.1907489312656015, -0.3344692712493032, -0.14512020982497276, 0.1588126157745545, -0.11604523536461954, 0.0446121502911376, 0.014086116209765461, -0.04709091766902777, -0.043910067957155755, -0.27866174832582646, 0.26080514496370766, 0.039276000704163705, 0.30313458398123766, 0.041951325186745866, 0.016322725304515562, -0.013837815876005688, -0.07232076648152738, 0.09793929771076024, -0.17144248634461198, 0.1431459281615321, 0.24223007319199147, 0.13680488051776993, 0.1742007379489733, -0.40997387369589827, -0.17667400440914888, 0.10690154254471308, 0.19676721610007025, 0.05536427912759272, -0.07792439485386571, -0.24166387323263996, 0.09843013159306198, -0.0812034227354365, -0.10325125702787365, -0.10078215829714715, 0.034530649422972556, 0.09820429006782926, -0.1867265271841087, -0.015968977995913163, 0.11766584372913866, 0.06392485160428474, -0.06356119936349515, -0.1458918902257057, -0.007675190284308568, 0.13123749526191467, 0.0398193418252865, -0.004570148802562573, 0.09402129613298262, -0.04244199979432345, -0.17013176071901467, 0.43406132584281054, 0.12463818103723472, -0.21500832949564835, 0.20061064238233545, -0.15727113583342772, -0.175212013630945, 0.15474373088914586, 0.17841146573876945, 0.08278658153776462, -0.11809513932877333, 0.0769293676930149, -0.10315706174239674, 0.14943878118505824, 0.15514157377357515, 0.03644036179491118, 0.2349213047788661, 0.17706576728253304, 0.10275727219957963, 0.2369054265806634, -0.054470315619119414, -0.14501207992956738, -0.23543022002015157, -0.11945673759817799, -0.12382241756281007, 0.009113658668917264, -0.12323551021326468, -0.2004059686055668, 0.37957670447355674, 0.12314998619171365, 0.18810480557573594, 0.018993086602634567, 0.21801176759475302, 0.012720990755212293, 0.11676863513268948, -0.010394614609828759, 0.1694809124657066, 0.07290475212133307, 0.03553887252112694, -0.10861145534604857, -0.008680816987860147, 0.11986190621810748] |
711.182 | Educing GPDs from amplitudes of hard exclusive processes | The dual parametrization of generalized parton distributions (GPDs) is
considered in details. We discuss which part of information about hadron
structure encoded in GPDs [part of total GPD image] can be restored from the
known amplitude of a hard exclusive process. The physics content of this
partial image is analyzed.
| hep-ph hep-ex nucl-ex nucl-th | the dual parametrization of generalized parton distributions gpds is considered in details we discuss which part of information about hadron structure encoded in gpds part of total gpd image can be restored from the known amplitude of a hard exclusive process the physics content of this partial image is analyzed | [['the', 'dual', 'parametrization', 'of', 'generalized', 'parton', 'distributions', 'gpds', 'is', 'considered', 'in', 'details', 'we', 'discuss', 'which', 'part', 'of', 'information', 'about', 'hadron', 'structure', 'encoded', 'in', 'gpds', 'part', 'of', 'total', 'gpd', 'image', 'can', 'be', 'restored', 'from', 'the', 'known', 'amplitude', 'of', 'a', 'hard', 'exclusive', 'process', 'the', 'physics', 'content', 'of', 'this', 'partial', 'image', 'is', 'analyzed']] | [-0.060232852697372434, 0.13362934591248632, -0.17992933835834266, 0.17679466072371725, -0.1159313477575779, -0.028304526110878213, -0.007867202162742615, 0.36461820725351574, -0.30163195431232454, -0.20393312878906728, 0.05012483530212194, -0.24934084370732307, -0.08118248954415322, 0.06260240808129311, -0.0414429758861661, 0.0716512444987893, 0.04723214188590646, 0.03333935538306832, -0.06064727749675512, -0.22642598468344657, 0.36585185304284096, 0.06677181042497977, 0.25727795995771885, 0.10794623713940382, 0.10788079710677266, 0.09167571322061122, -0.13279739676043392, -0.05141341552138329, -0.09267691340297461, 0.10880072724074125, 0.31311066753230987, 0.16652607872150837, 0.09310695545282215, -0.3748166248947382, -0.16476609736680983, 0.047475353407207876, 0.13536641785874962, 0.06369052880210802, 0.006521466188132763, -0.265476190187037, 0.026599192097783088, -0.22013322839513422, -0.1421595846582204, -0.11475139965303242, -0.024693641597405076, -0.03443709518362084, -0.2648150673287455, 0.09545592339709401, 0.03821362253278494, -0.0244455675361678, 0.00965309401974082, -0.2259343472495675, -0.03341642234474421, 0.07206279053352774, 0.05678459537157323, 0.08086968963732943, 0.15196130063384772, -0.25468453038018196, -0.11426549450960011, 0.4003126949071884, 0.042492745323106644, -0.23036237629130482, 0.03240631541237235, -0.22249273052439095, -0.16187652046792209, 0.14173304822295904, 0.22725591903552414, 0.08892631712369621, -0.2343821577739436, 0.13145383596420288, -0.04303210387937725, 0.22799344774335623, 0.11447835622355342, 0.08321420073509217, 0.20153210580348968, 0.17435105737298728, -0.07000459355302155, 0.18366554932435974, -0.10483210294041782, -0.1286984689347446, -0.3896858470141888, -0.11350059958640486, -0.1897402261942625, 0.05678745466982946, -0.054635220624622886, -0.10561778205563314, 0.41935350719839337, 0.08451703626196831, 0.23791928288526834, -0.08766314729815348, 0.3158333370834589, 0.10930322971194982, 0.0736000247951597, 0.04114159351214766, 0.17681970493867993, 0.16364322332665324, 0.13135993923991918, -0.14452919042669238, 0.09431398282758892, 0.06781055066734552] |
711.1821 | The Late Time Behavior of False Vacuum Decay: Possible Implications for
Cosmology and Metastable Inflating States | We describe here how the late time behavior of the decaying states, which is
predicted to deviate from an exponential form, while normally of insignificant
consequence, may have important cosmological implications in the case of false
vacuum decay. It may increase the likelihood of eternal inflation, and may help
explain the likelihood of observing a small vacuum energy at late times, as
well as arguing against decay into a large negative energy (anti-de Sitter
space), vacuum state as has been motivated by some string theory
considerations. Several interesting open questions are raised, including
whether observing the cosmological configuration of a metastable universe can
constrain its inferred lifetime.
| hep-ph astro-ph hep-th | we describe here how the late time behavior of the decaying states which is predicted to deviate from an exponential form while normally of insignificant consequence may have important cosmological implications in the case of false vacuum decay it may increase the likelihood of eternal inflation and may help explain the likelihood of observing a small vacuum energy at late times as well as arguing against decay into a large negative energy antide sitter space vacuum state as has been motivated by some string theory considerations several interesting open questions are raised including whether observing the cosmological configuration of a metastable universe can constrain its inferred lifetime | [['we', 'describe', 'here', 'how', 'the', 'late', 'time', 'behavior', 'of', 'the', 'decaying', 'states', 'which', 'is', 'predicted', 'to', 'deviate', 'from', 'an', 'exponential', 'form', 'while', 'normally', 'of', 'insignificant', 'consequence', 'may', 'have', 'important', 'cosmological', 'implications', 'in', 'the', 'case', 'of', 'false', 'vacuum', 'decay', 'it', 'may', 'increase', 'the', 'likelihood', 'of', 'eternal', 'inflation', 'and', 'may', 'help', 'explain', 'the', 'likelihood', 'of', 'observing', 'a', 'small', 'vacuum', 'energy', 'at', 'late', 'times', 'as', 'well', 'as', 'arguing', 'against', 'decay', 'into', 'a', 'large', 'negative', 'energy', 'antide', 'sitter', 'space', 'vacuum', 'state', 'as', 'has', 'been', 'motivated', 'by', 'some', 'string', 'theory', 'considerations', 'several', 'interesting', 'open', 'questions', 'are', 'raised', 'including', 'whether', 'observing', 'the', 'cosmological', 'configuration', 'of', 'a', 'metastable', 'universe', 'can', 'constrain', 'its', 'inferred', 'lifetime']] | [-0.09711508305360363, 0.2136920268972955, -0.12032177103857432, 0.1674511395449202, -0.07280145472168018, -0.16000085940288605, 0.010491571973391295, 0.2969308966492242, -0.21793787308890267, -0.3378068370065678, 0.14784617323719976, -0.2316283531678475, -0.07291619475304245, 0.17124021514623522, -0.03309225602179905, 0.045741813544022944, 0.023687985649541297, 0.03584743314640266, -0.03335578200868636, -0.2640707547902608, 0.32364488277958586, 0.1380475019583496, 0.22961267193335447, 0.03829164591957336, 0.04831568745756957, -0.0818741156036365, -0.014677009558322553, 0.032185459744226555, -0.15528143494673918, 0.008981814744521071, 0.2145677516280421, 0.17954757646657526, 0.2771831893309881, -0.4369144764006416, -0.22910907740104142, 0.17723688855019254, 0.2069836168867649, 0.1655303276150496, -0.062424238330562744, -0.30795951353638457, 0.054370937961160215, -0.16117300465267814, -0.1723341322155826, -0.07964550164119105, 0.031563202894040354, -0.06482754248927704, -0.2086573668720775, 0.08853303372128823, -0.016320777696853278, -0.04780697192840069, -0.09569476601323897, -0.1052591803126803, -0.02539338812310353, 0.08845349739819208, 0.19554078861609728, 0.020394576848354017, 0.15038634456311153, -0.13519806096278061, -0.12404241082127963, 0.35511118140524234, -0.10386538983401016, -0.0867768762215415, 0.1539960211908845, -0.15136587850871347, -0.10771964090031998, 0.1330258183150822, 0.14318065545478156, 0.08690581686585863, -0.08783059374855778, 0.13946847397361872, 0.018766706496059337, 0.13238518096171495, 0.12716855127233836, 0.08750578887308035, 0.32315290302351535, 0.13625622077662253, 0.0007071649050775254, 0.11951100753150254, -0.0269782321579824, -0.1223525698079127, -0.33430219768920794, -0.1536933359925017, -0.15833377770026363, 0.14574625223405033, -0.09009365806620999, -0.17793351250361197, 0.36856336788074157, 0.09686243168413465, 0.23082253310794584, 0.007848565345934687, 0.22677096256237722, 0.0801372057377474, 0.015544605915756704, 0.04846851830064726, 0.3062572663567773, 0.08305432583275034, 0.10218791238676374, -0.23240925720892847, 0.0943247835352042, -0.0071679731857066395] |
711.1822 | Absorption spectrum of Ca atoms attached to $^4$He nanodroplets | Within density functional theory, we have obtained the structure of $^4$He
droplets doped with neutral calcium atoms. These results have been used, in
conjunction with newly determined {\it ab-initio} $^1\Sigma$ and $^1\Pi$ Ca-He
pair potentials, to address the $4s4p$ $^1$P$_1 \leftarrow 4s^2$ $^1$S$_0$
transition of the attached Ca atom, finding a fairly good agreement with
absorption experimental data. We have studied the drop structure as a function
of the position of the Ca atom with respect of the center of mass of the helium
moiety. The interplay between the density oscillations arising from the helium
intrinsic structure and the density oscillations produced by the impurity in
its neighborhood plays a role in the determination of the equilibrium state,
and hence in the solvation properties of alkaline earth atoms. In a case of
study, the thermal motion of the impurity within the drop surface region has
been analyzed in a semi-quantitative way. We have found that, although the
atomic shift shows a sizeable dependence on the impurity location, the thermal
effect is statistically small, contributing by about a 10% to the line
broadening. The structure of vortices attached to the calcium atom has been
also addressed, and its effect on the calcium absorption spectrum discussed. At
variance with previous theoretical predictions, we conclude that spectroscopic
experiments on Ca atoms attached to $^4$He drops will be likely unable to
detect the presence of quantized vortices in helium nanodrops.
| cond-mat.soft | within density functional theory we have obtained the structure of 4he droplets doped with neutral calcium atoms these results have been used in conjunction with newly determined it abinitio 1sigma and 1pi cahe pair potentials to address the 4s4p 1p_1 leftarrow 4s2 1s_0 transition of the attached ca atom finding a fairly good agreement with absorption experimental data we have studied the drop structure as a function of the position of the ca atom with respect of the center of mass of the helium moiety the interplay between the density oscillations arising from the helium intrinsic structure and the density oscillations produced by the impurity in its neighborhood plays a role in the determination of the equilibrium state and hence in the solvation properties of alkaline earth atoms in a case of study the thermal motion of the impurity within the drop surface region has been analyzed in a semiquantitative way we have found that although the atomic shift shows a sizeable dependence on the impurity location the thermal effect is statistically small contributing by about a 10 to the line broadening the structure of vortices attached to the calcium atom has been also addressed and its effect on the calcium absorption spectrum discussed at variance with previous theoretical predictions we conclude that spectroscopic experiments on ca atoms attached to 4he drops will be likely unable to detect the presence of quantized vortices in helium nanodrops | [['within', 'density', 'functional', 'theory', 'we', 'have', 'obtained', 'the', 'structure', 'of', '4he', 'droplets', 'doped', 'with', 'neutral', 'calcium', 'atoms', 'these', 'results', 'have', 'been', 'used', 'in', 'conjunction', 'with', 'newly', 'determined', 'it', 'abinitio', '1sigma', 'and', '1pi', 'cahe', 'pair', 'potentials', 'to', 'address', 'the', '4s4p', '1p_1', 'leftarrow', '4s2', '1s_0', 'transition', 'of', 'the', 'attached', 'ca', 'atom', 'finding', 'a', 'fairly', 'good', 'agreement', 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711.1823 | Extendable Cohomologies for Complex Analytic Varieties | We introduce a cohomology, called extendable cohomology, for abstract complex
singular varieties based on suitable differential forms. Beside a study of the
general properties of such a cohomology, we show that, given a complex vector
bundle, one can compute its topological Chern classes using the extendable
Chern classes, defined via a Chern-Weil type theory. We also prove that the
localizations of the extendable Chern classes represent the localizations of
the respective topological Chern classes, thus obtaining an abstract residue
theorem for compact singular complex analytic varieties. As an application of
our theory, we prove a Camacho-Sad type index theorem for holomorphic
foliations of singular complex varieties.
| math.CV | we introduce a cohomology called extendable cohomology for abstract complex singular varieties based on suitable differential forms beside a study of the general properties of such a cohomology we show that given a complex vector bundle one can compute its topological chern classes using the extendable chern classes defined via a chernweil type theory we also prove that the localizations of the extendable chern classes represent the localizations of the respective topological chern classes thus obtaining an abstract residue theorem for compact singular complex analytic varieties as an application of our theory we prove a camachosad type index theorem for holomorphic foliations of singular complex varieties | [['we', 'introduce', 'a', 'cohomology', 'called', 'extendable', 'cohomology', 'for', 'abstract', 'complex', 'singular', 'varieties', 'based', 'on', 'suitable', 'differential', 'forms', 'beside', 'a', 'study', 'of', 'the', 'general', 'properties', 'of', 'such', 'a', 'cohomology', 'we', 'show', 'that', 'given', 'a', 'complex', 'vector', 'bundle', 'one', 'can', 'compute', 'its', 'topological', 'chern', 'classes', 'using', 'the', 'extendable', 'chern', 'classes', 'defined', 'via', 'a', 'chernweil', 'type', 'theory', 'we', 'also', 'prove', 'that', 'the', 'localizations', 'of', 'the', 'extendable', 'chern', 'classes', 'represent', 'the', 'localizations', 'of', 'the', 'respective', 'topological', 'chern', 'classes', 'thus', 'obtaining', 'an', 'abstract', 'residue', 'theorem', 'for', 'compact', 'singular', 'complex', 'analytic', 'varieties', 'as', 'an', 'application', 'of', 'our', 'theory', 'we', 'prove', 'a', 'camachosad', 'type', 'index', 'theorem', 'for', 'holomorphic', 'foliations', 'of', 'singular', 'complex', 'varieties']] | [-0.22663755271636513, 0.048015544746995834, -0.10046949959799366, 0.14927784179091313, -0.1401422032207813, -0.16226630947412043, -0.035973323779268505, 0.29070380308999205, -0.32720329591406966, -0.16847351863145618, 0.07950539535069663, -0.19068035857646531, -0.23260023047760972, 0.23731365504692187, -0.13417226146524422, -0.016300010258213284, 0.01864910608965833, 0.07546348536884322, -0.1304304151584939, -0.24725836235041432, 0.48772194226852283, -0.11906384812000226, 0.19887168319096332, 0.06967299635399063, 0.12707830070438883, 0.01906840656971875, 0.0014640667952403848, 0.020632767131692677, -0.15181479870217066, 0.22404033209654098, 0.3588334942513304, 0.01980545512347851, 0.1679163095058065, -0.36943611579964747, -0.1563559988390584, 0.18786850865086857, 0.028173867762440217, 0.027948978310890216, 0.0014035316384046004, -0.3195556390323272, 0.13953115058764112, -0.1859463950386271, -0.2193680721058352, -0.1756521146371082, 0.04997209972209947, 0.041830250393722276, -0.21371815134419725, -0.048921061401037975, 0.08821449201237762, 0.15660736013977034, -0.10864926825984786, -0.03599048754582533, -0.08824253263048616, 0.04532442765117113, -0.05341597397609631, -0.01933106975102762, 0.12339552096091211, -0.09874494164690094, -0.17729065098518612, 0.35510701629693425, -0.06422664885374033, -0.24714670876779085, 0.13256977922239183, -0.07056481893314927, -0.2189848769174994, 0.1386962010270371, 0.0881080344090906, 0.2278598971172886, 0.033447299750064906, 0.17447863506012648, -0.1088399782970126, 0.0732762719469391, 0.06775235596446777, 0.025257812310471462, 0.164459961861864, 0.08800963007511114, 0.09082962334911637, 0.1484036772722765, -0.003980782078491208, -0.04861597641467837, -0.36391071145826914, -0.2915198859178795, -0.1489852969358974, 0.1853654351138141, -0.12068375456146896, -0.23886034128097994, 0.48450719136393294, 0.059391963493324956, 0.19366144379524006, 0.17234377375856605, 0.2215456236417423, 0.10403237632642728, 0.04955617032224699, 0.02317117054437129, 0.12034083967852705, 0.2217618884026723, 0.0030176728867205246, -0.06633200829426916, -0.04018053949265828, 0.243104854967656] |
711.1824 | From Big Crunch to Big Bang with AdS/CFT | The AdS/CFT correspondence is used to describe five-dimensional cosmology
with a big crunch singularity in terms of super-Yang-Mills theory on R times
S^3 deformed by a potential which is unbounded below. Classically, a Higgs
field in the dual theory rolls to infinity in finite time. But since the S^3 is
finite, the unstable mode spreads quantum mechanically and the singularity is
resolved when self-adjoint boundary conditions are imposed at infinity.
Asymptotic freedom of the coupling governing the instability gives us
computational control and the quantum spreading provides a UV cutoff on
particle creation. The bulk interpretation of our result is a quantum
transition from a big crunch to a big bang. An intriguing consequence of the
near scale-invariance of the dual theory is that a nearly scale-invariant
spectrum of stress-energy perturbations is automatically generated in the
boundary theory. We comment on implications for more realistic cosmologies.
| hep-th astro-ph | the adscft correspondence is used to describe fivedimensional cosmology with a big crunch singularity in terms of superyangmills theory on r times s3 deformed by a potential which is unbounded below classically a higgs field in the dual theory rolls to infinity in finite time but since the s3 is finite the unstable mode spreads quantum mechanically and the singularity is resolved when selfadjoint boundary conditions are imposed at infinity asymptotic freedom of the coupling governing the instability gives us computational control and the quantum spreading provides a uv cutoff on particle creation the bulk interpretation of our result is a quantum transition from a big crunch to a big bang an intriguing consequence of the near scaleinvariance of the dual theory is that a nearly scaleinvariant spectrum of stressenergy perturbations is automatically generated in the boundary theory we comment on implications for more realistic cosmologies | [['the', 'adscft', 'correspondence', 'is', 'used', 'to', 'describe', 'fivedimensional', 'cosmology', 'with', 'a', 'big', 'crunch', 'singularity', 'in', 'terms', 'of', 'superyangmills', 'theory', 'on', 'r', 'times', 's3', 'deformed', 'by', 'a', 'potential', 'which', 'is', 'unbounded', 'below', 'classically', 'a', 'higgs', 'field', 'in', 'the', 'dual', 'theory', 'rolls', 'to', 'infinity', 'in', 'finite', 'time', 'but', 'since', 'the', 's3', 'is', 'finite', 'the', 'unstable', 'mode', 'spreads', 'quantum', 'mechanically', 'and', 'the', 'singularity', 'is', 'resolved', 'when', 'selfadjoint', 'boundary', 'conditions', 'are', 'imposed', 'at', 'infinity', 'asymptotic', 'freedom', 'of', 'the', 'coupling', 'governing', 'the', 'instability', 'gives', 'us', 'computational', 'control', 'and', 'the', 'quantum', 'spreading', 'provides', 'a', 'uv', 'cutoff', 'on', 'particle', 'creation', 'the', 'bulk', 'interpretation', 'of', 'our', 'result', 'is', 'a', 'quantum', 'transition', 'from', 'a', 'big', 'crunch', 'to', 'a', 'big', 'bang', 'an', 'intriguing', 'consequence', 'of', 'the', 'near', 'scaleinvariance', 'of', 'the', 'dual', 'theory', 'is', 'that', 'a', 'nearly', 'scaleinvariant', 'spectrum', 'of', 'stressenergy', 'perturbations', 'is', 'automatically', 'generated', 'in', 'the', 'boundary', 'theory', 'we', 'comment', 'on', 'implications', 'for', 'more', 'realistic', 'cosmologies']] | [-0.16195327899345413, 0.172576020737374, -0.1527513552533641, 0.09072799591127502, -0.08426882231397528, -0.17211258107132904, -0.030196055361669357, 0.2698169433454383, -0.24007643483362276, -0.19807889144899554, 0.11966272726119177, -0.2997892946547076, -0.12306459711973032, 0.13824320494233988, -0.07326784166060898, 0.04406859159903371, 0.027882328668405135, 0.06981592438796101, -0.06823235246263547, -0.2260455376124137, 0.34409818331047587, 0.06914101218632686, 0.2698638982535021, 0.08244536614862003, 0.07008049161450887, -0.04043495811183924, 0.03907173067611987, 0.009629309700470264, -0.1707779849476874, 0.07921431907325065, 0.23419504629857504, 0.10364894862988427, 0.23952733794201728, -0.4384885387661012, -0.24114597070171204, 0.09617114604182847, 0.1767023416389137, 0.14348833881117634, -0.026904335802748692, -0.2739383706102173, 0.08063414315246556, -0.14517039761317205, -0.18698802239848428, -0.03645474106162684, 0.012989481710924525, -0.1257790207738465, -0.24504462049553197, 0.08158307438014611, 0.005529715839058977, 0.036905277155224896, -0.04906963177937504, 0.02386835831766055, -0.03710504993477402, 0.058882807144833, 0.08707751810777141, 0.03164424866195513, 0.13468093039110712, -0.15579940995507657, -0.07968675048084138, 0.37342970244178214, -0.07971213052961465, -0.16365321772651467, 0.1622258526566502, -0.15546176262352973, -0.08846644490753135, 0.11894440067268602, 0.08083907508830324, 0.1310772432033483, -0.0737189495500874, 0.23334460846732102, 0.006213540538239663, 0.1208879089948549, 0.13251515305824324, 0.032265985234678815, 0.27468158738457993, 0.13915458352349647, 0.0943148215205651, 0.11304931879388042, -0.007370510956667976, -0.1700171949118631, -0.4166728281990102, -0.13728005327411916, -0.15665960088208772, 0.13451589920162543, -0.16220177899809293, -0.237861585554552, 0.36530614310033516, 0.10474178905691314, 0.20305600148236558, 0.03490026126861292, 0.24879440127501953, 0.11657873556824809, 0.052497952041050344, 0.06354694280212056, 0.24337703457153212, 0.15694173810244474, 0.11513907305755947, -0.23787547116429378, -0.059235632424370376, 0.09626842797426857] |
711.1825 | Form factors of $S$-wave charmed baryon multiplet $J^P={1/2}^+$ | Electric form factors of $S$-wave charmed baryons are calculated within the
relativistic quark model in the region of low and intermediate momentum
transfers, $Q^2 \le 1 GeV^2$. The charge radii of low-lying charmed baryons are
determined.
| hep-ph | electric form factors of swave charmed baryons are calculated within the relativistic quark model in the region of low and intermediate momentum transfers q2 le 1 gev2 the charge radii of lowlying charmed baryons are determined | [['electric', 'form', 'factors', 'of', 'swave', 'charmed', 'baryons', 'are', 'calculated', 'within', 'the', 'relativistic', 'quark', 'model', 'in', 'the', 'region', 'of', 'low', 'and', 'intermediate', 'momentum', 'transfers', 'q2', 'le', '1', 'gev2', 'the', 'charge', 'radii', 'of', 'lowlying', 'charmed', 'baryons', 'are', 'determined']] | [-0.1508093629963696, 0.3774096427692307, -0.01825824921252206, 0.21374028251092467, 0.032521230614899345, -0.108638235885236, 0.068030109629035, 0.3305349877725045, -0.1256138900708821, -0.2664155785718726, -0.20638917783960803, -0.3744023777027097, 0.17124794917698535, 0.018471505098407053, 0.16538050306310956, 0.06643397439943834, -0.0015502701345313755, 0.014386386222516498, -0.09243261366565195, -0.1181577982691427, 0.3576800422484262, -0.044138402522852026, 0.1272378812233607, 0.1917698248806927, 0.020040750037878752, -0.03562814955754826, 0.03715496639617615, -0.10277832767719196, -0.1582414684817195, 0.05903861917451852, 0.26241169281840687, -0.019975984210355416, 0.11393398275443663, -0.32445083170508343, -0.09704743265562381, 0.03213972947560251, 0.2435802674606546, 0.14707919406808084, 0.0019174488520042764, -0.28889707259885555, 0.14850947118571234, -0.25332360569801593, -0.19014991610310972, -0.19713784293789002, 0.03988188743824139, 0.031167844931284588, -0.2974321922908227, 0.22151567719669807, -0.08266504000251491, 0.041729170363396406, -0.12568589625880122, -0.36638741559969884, -0.1078626202005479, 0.03604006685782224, 0.1460788922817705, 0.14148936892807898, 0.19547416326693362, -0.2035840578480727, -0.05985584234197935, 0.3771505875823398, 0.07227749354206026, -0.13614308636412412, -0.041105923139386706, -0.28655884601175785, -0.08538779900926682, 0.16795715247280896, 0.24159374922358742, 0.12129940658794819, -0.13749907747842371, 0.13954632136139683, -0.06676814301560323, 0.18476985769423968, 0.1294052330324323, 0.10476708769177397, 0.23913853925963244, 0.1408556384396636, -0.186311838024671, -0.025311182977424726, -0.10192480114185148, -0.10953000001609325, -0.38686011721276575, -0.05603703478765157, -0.13093285208904287, 0.06882668154624601, -0.11516400937519695, -0.02190247167729669, 0.3293445698024395, -0.022965057352040377, 0.30042672713494134, -0.0411270395723275, 0.33020203767551315, 0.06161306945917507, 0.09727080130121774, 0.22630394136326182, 0.3124260915663197, 0.30089642552451956, 0.15369272449364266, -0.3038397579609106, -0.062754651854953, 0.07687731529586017] |
711.1826 | The three-loop beta-function of SU(N) lattice gauge theories with
overlap fermions | We briefly report our calculation of the 2-loop coefficient of the coupling
constant renormalization function Z_g in lattice perturbation theory. The
quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare
(renormalized) coupling constant. The 2-loop expression for Z_g can be directly
related to the 3-loop bare beta-function beta_L(g_0).
Our calculation is performed using overlap fermions and Wilson gluons, and
the background field technique has been chosen for convenience. Our results
depend explicitly on the number of fermion flavors (N_f) and colors (N). Since
the dependence of Z_g on the overlap parameter rho cannot be extracted
analytically, we tabulate our results for different values of rho in the
allowed range (0<rho<2), focusing on values which are being used most
frequently in simulations. Plots of the 1- and 2-loop results for Z_g versus
rho exhibit a nontrivial dependence on the overlap parameter.
A longer write-up of this work may be found in 0709.4368.
| hep-lat | we briefly report our calculation of the 2loop coefficient of the coupling constant renormalization function z_g in lattice perturbation theory the quantity under study is defined through g_0 z_g g where g_0 g is the bare renormalized coupling constant the 2loop expression for z_g can be directly related to the 3loop bare betafunction beta_lg_0 our calculation is performed using overlap fermions and wilson gluons and the background field technique has been chosen for convenience our results depend explicitly on the number of fermion flavors n_f and colors n since the dependence of z_g on the overlap parameter rho cannot be extracted analytically we tabulate our results for different values of rho in the allowed range 0rho2 focusing on values which are being used most frequently in simulations plots of the 1 and 2loop results for z_g versus rho exhibit a nontrivial dependence on the overlap parameter a longer writeup of this work may be found in 07094368 | [['we', 'briefly', 'report', 'our', 'calculation', 'of', 'the', '2loop', 'coefficient', 'of', 'the', 'coupling', 'constant', 'renormalization', 'function', 'z_g', 'in', 'lattice', 'perturbation', 'theory', 'the', 'quantity', 'under', 'study', 'is', 'defined', 'through', 'g_0', 'z_g', 'g', 'where', 'g_0', 'g', 'is', 'the', 'bare', 'renormalized', 'coupling', 'constant', 'the', '2loop', 'expression', 'for', 'z_g', 'can', 'be', 'directly', 'related', 'to', 'the', '3loop', 'bare', 'betafunction', 'beta_lg_0', 'our', 'calculation', 'is', 'performed', 'using', 'overlap', 'fermions', 'and', 'wilson', 'gluons', 'and', 'the', 'background', 'field', 'technique', 'has', 'been', 'chosen', 'for', 'convenience', 'our', 'results', 'depend', 'explicitly', 'on', 'the', 'number', 'of', 'fermion', 'flavors', 'n_f', 'and', 'colors', 'n', 'since', 'the', 'dependence', 'of', 'z_g', 'on', 'the', 'overlap', 'parameter', 'rho', 'can', 'not', 'be', 'extracted', 'analytically', 'we', 'tabulate', 'our', 'results', 'for', 'different', 'values', 'of', 'rho', 'in', 'the', 'allowed', 'range', '0rho2', 'focusing', 'on', 'values', 'which', 'are', 'being', 'used', 'most', 'frequently', 'in', 'simulations', 'plots', 'of', 'the', '1', 'and', '2loop', 'results', 'for', 'z_g', 'versus', 'rho', 'exhibit', 'a', 'nontrivial', 'dependence', 'on', 'the', 'overlap', 'parameter', 'a', 'longer', 'writeup', 'of', 'this', 'work', 'may', 'be', 'found', 'in', '07094368']] | [-0.14108080053343797, 0.2045598829863593, -0.10900414840748104, 0.04526193392349598, -0.06983170807301903, -0.0981576205111849, 0.04964205169772658, 0.3693283108863024, -0.14972927773040004, -0.3065093860734636, 0.036224028385148786, -0.30350251670983525, -0.1171286006246168, 0.1769835805783096, 0.03650545581237962, 0.035002888013341595, 0.028148002886714842, 0.0745985490293839, -0.08537019175799707, -0.25623789243400097, 0.33605983132311407, -0.0011793134811644752, 0.23688317547576168, 0.16741445172803465, 0.016052408875205006, 0.013453380420404032, -0.058013538354246594, 0.006863272053380616, -0.17361211437934962, 0.02519707463738413, 0.21772489180036175, 0.012959876529072436, 0.17958794800469127, -0.33145419671797216, -0.16731086911451526, 0.07389788039159985, 0.15718465711539373, 0.06811404257090405, 0.016370759235145763, -0.21852970820887443, 0.06897620557477542, -0.1818803098434821, -0.13367100650271496, -0.10099165876939271, 0.022661867680607174, -0.04466267498523498, -0.3060187288210727, 0.07051714625842391, -0.08620241302578972, 0.04413736911299519, 0.01700043151798197, -0.19287108197712746, -0.04094692670071545, 0.15234188866900064, 0.10502673372057195, 0.09194055021865867, 0.13889422001711166, -0.15701889397892863, -0.0691925243311114, 0.3853370694754024, -0.11293283277131522, -0.2231203717036316, 0.11066936738848782, -0.17971245071683556, -0.14435504607629412, 0.10580796166560993, 0.12036883417003526, 0.15282458525437576, -0.10890773876617925, 0.17356792909170812, -0.0558043584609643, 0.19211579398595346, 0.06493686127942055, 0.019439337477356624, 0.13812878483739227, 0.09178464015712962, -0.013372115542342026, 0.08717028202283053, -0.013511069077186478, -0.0645833800976666, -0.36843126059438175, -0.08648315754283267, -0.20968429456787327, 0.06630545368170715, -0.15365285401266868, -0.15043735318557502, 0.3935200581685282, 0.15833290617462273, 0.2225157391691867, 0.05871156348103586, 0.23382590760220176, 0.1625203606672585, 0.10551937279822783, 0.05587735086774979, 0.23223863643868706, 0.14391584822890133, 0.038985140702257365, -0.2836166408740563, -0.00681740088830105, 0.10637934165499292] |
711.1827 | The Three-Color and Two-Color Tantrix(TM) Rotation Puzzle Problems are
NP-Complete via Parsimonious Reductions | Holzer and Holzer (Discrete Applied Mathematics 144(3):345--358, 2004) proved
that the Tantrix(TM) rotation puzzle problem with four colors is NP-complete,
and they showed that the infinite variant of this problem is undecidable. In
this paper, we study the three-color and two-color Tantrix(TM) rotation puzzle
problems (3-TRP and 2-TRP) and their variants. Restricting the number of
allowed colors to three (respectively, to two) reduces the set of available
Tantrix(TM) tiles from 56 to 14 (respectively, to 8). We prove that 3-TRP and
2-TRP are NP-complete, which answers a question raised by Holzer and Holzer in
the affirmative. Since our reductions are parsimonious, it follows that the
problems Unique-3-TRP and Unique-2-TRP are DP-complete under randomized
reductions. We also show that the another-solution problems associated with
4-TRP, 3-TRP, and 2-TRP are NP-complete. Finally, we prove that the infinite
variants of 3-TRP and 2-TRP are undecidable.
| cs.CC | holzer and holzer discrete applied mathematics 1443345358 2004 proved that the tantrixtm rotation puzzle problem with four colors is npcomplete and they showed that the infinite variant of this problem is undecidable in this paper we study the threecolor and twocolor tantrixtm rotation puzzle problems 3trp and 2trp and their variants restricting the number of allowed colors to three respectively to two reduces the set of available tantrixtm tiles from 56 to 14 respectively to 8 we prove that 3trp and 2trp are npcomplete which answers a question raised by holzer and holzer in the affirmative since our reductions are parsimonious it follows that the problems unique3trp and unique2trp are dpcomplete under randomized reductions we also show that the anothersolution problems associated with 4trp 3trp and 2trp are npcomplete finally we prove that the infinite variants of 3trp and 2trp are undecidable | [['holzer', 'and', 'holzer', 'discrete', 'applied', 'mathematics', '1443345358', '2004', 'proved', 'that', 'the', 'tantrixtm', 'rotation', 'puzzle', 'problem', 'with', 'four', 'colors', 'is', 'npcomplete', 'and', 'they', 'showed', 'that', 'the', 'infinite', 'variant', 'of', 'this', 'problem', 'is', 'undecidable', 'in', 'this', 'paper', 'we', 'study', 'the', 'threecolor', 'and', 'twocolor', 'tantrixtm', 'rotation', 'puzzle', 'problems', '3trp', 'and', '2trp', 'and', 'their', 'variants', 'restricting', 'the', 'number', 'of', 'allowed', 'colors', 'to', 'three', 'respectively', 'to', 'two', 'reduces', 'the', 'set', 'of', 'available', 'tantrixtm', 'tiles', 'from', '56', 'to', '14', 'respectively', 'to', '8', 'we', 'prove', 'that', '3trp', 'and', '2trp', 'are', 'npcomplete', 'which', 'answers', 'a', 'question', 'raised', 'by', 'holzer', 'and', 'holzer', 'in', 'the', 'affirmative', 'since', 'our', 'reductions', 'are', 'parsimonious', 'it', 'follows', 'that', 'the', 'problems', 'unique3trp', 'and', 'unique2trp', 'are', 'dpcomplete', 'under', 'randomized', 'reductions', 'we', 'also', 'show', 'that', 'the', 'anothersolution', 'problems', 'associated', 'with', '4trp', '3trp', 'and', '2trp', 'are', 'npcomplete', 'finally', 'we', 'prove', 'that', 'the', 'infinite', 'variants', 'of', '3trp', 'and', '2trp', 'are', 'undecidable']] | [-0.07842242773486315, 0.10147111106283256, -0.030764975737997868, 0.10813460420191723, -0.08143090524703916, -0.16189791123131222, 0.06847910316028788, 0.38533574454214453, -0.28984894213287066, -0.3351294940786205, 0.16861032701206197, -0.2894203198672592, -0.15204249954626073, 0.18058010944620753, -0.14664855677750044, 0.0327130293736598, 0.06456684496552839, -0.026892985910666686, -0.0028990622903866162, -0.35468608605926927, 0.26401335597514125, -0.07168429931897642, 0.19218547171811118, 0.08864453225184137, 0.0936792238656241, -0.006843194443678116, -0.024444400808726348, 0.06418342876798698, -0.13421971808698785, 0.0830337563907748, 0.27456866883059683, 0.16836771993034513, 0.24753895830906872, -0.35319939466451644, -0.09587116864591456, 0.15505472136946924, 0.13272829052319166, 0.08741637147592557, 0.0005693625264467984, -0.21560670170307594, 0.13957499188921638, -0.10223295304407604, -0.08635130636122106, -0.015810171349558734, 0.08529948198447262, -0.021628097435595454, -0.22689936873944896, 0.037306099329407184, 0.11089770458502708, 0.034260206327290973, -0.0747510819121461, -0.14285597085687637, 0.011065785307437181, 0.05659119434056491, 0.0408037996538201, 0.0338740536949876, -0.011723763880449056, -0.08246152561470649, -0.1807281509055382, 0.3834070014379864, 0.005049349940262979, -0.15517908685507564, 0.16527746008015679, -0.08579925090638771, -0.20103683416055257, 0.07477090724601146, 0.09390728190255752, 0.13578294680528616, -0.08017350920564394, 0.11545538417842022, -0.147216624498748, 0.15176276829566154, 0.15510539007271185, -0.031788451743251, 0.08865505356739282, 0.08351887317449126, 0.07086088877157683, 0.18138130276674663, -0.007118954525047056, -0.0548229311579281, -0.21760625430437172, -0.07965921209513271, -0.08988110104365016, 0.03295247409030469, -0.054849966468899614, -0.11014946208872499, 0.3305990912672812, 0.1600269711284089, 0.12415079014498169, 0.11709796115976968, 0.1947494890323303, 0.0803692889618424, -0.003075926858646265, 0.1367532553382381, 0.1687257423874562, 0.1540360015963143, 0.052428115730303045, -0.21990915329916144, 0.00038969313154799226, 0.07631247948488071] |
711.1828 | Resonance widths in open microwave cavities studied by harmonic
inversion | From the measurement of a reflection spectrum of an open microwave cavity the
poles of the scattering matrix in the complex plane have been determined. The
resonances have been extracted by means of the harmonic inversion method. By
this it became possible to resolve the resonances in a regime where the line
widths exceed the mean level spacing up to a factor of 10, a value inaccessible
in experiments up to now. The obtained experimental distributions of line
widths were found to be in perfect agreement with predictions from random
matrix theory when wall absorption and fluctuations caused by couplings to
additional channels are considered.
| cond-mat.other cond-mat.mes-hall | from the measurement of a reflection spectrum of an open microwave cavity the poles of the scattering matrix in the complex plane have been determined the resonances have been extracted by means of the harmonic inversion method by this it became possible to resolve the resonances in a regime where the line widths exceed the mean level spacing up to a factor of 10 a value inaccessible in experiments up to now the obtained experimental distributions of line widths were found to be in perfect agreement with predictions from random matrix theory when wall absorption and fluctuations caused by couplings to additional channels are considered | [['from', 'the', 'measurement', 'of', 'a', 'reflection', 'spectrum', 'of', 'an', 'open', 'microwave', 'cavity', 'the', 'poles', 'of', 'the', 'scattering', 'matrix', 'in', 'the', 'complex', 'plane', 'have', 'been', 'determined', 'the', 'resonances', 'have', 'been', 'extracted', 'by', 'means', 'of', 'the', 'harmonic', 'inversion', 'method', 'by', 'this', 'it', 'became', 'possible', 'to', 'resolve', 'the', 'resonances', 'in', 'a', 'regime', 'where', 'the', 'line', 'widths', 'exceed', 'the', 'mean', 'level', 'spacing', 'up', 'to', 'a', 'factor', 'of', '10', 'a', 'value', 'inaccessible', 'in', 'experiments', 'up', 'to', 'now', 'the', 'obtained', 'experimental', 'distributions', 'of', 'line', 'widths', 'were', 'found', 'to', 'be', 'in', 'perfect', 'agreement', 'with', 'predictions', 'from', 'random', 'matrix', 'theory', 'when', 'wall', 'absorption', 'and', 'fluctuations', 'caused', 'by', 'couplings', 'to', 'additional', 'channels', 'are', 'considered']] | [-0.09001913274156063, 0.14599607384311855, -0.04205170975377162, 0.0240890477018963, -0.012583822450999703, -0.1189986085740938, 0.05403537288574236, 0.39915714911406946, -0.24784799904695579, -0.32520817537747676, 0.08902367599761679, -0.30595900430565787, -0.06581399389542639, 0.18700341832424913, 0.039555683457070875, 0.08436345042372566, 0.04964094024506353, 0.024786897061303968, -0.028897352682404398, -0.17669378540123856, 0.2958842825632365, 0.06773963024662365, 0.24346522075079735, 0.0857386352616318, 0.03420313919583957, -0.03987410235706539, -0.02680593981806721, 0.0252347689210659, -0.11768229031669242, 0.10033310947584964, 0.22816863232070492, 0.02780417784427603, 0.18886058941660894, -0.38345601874448004, -0.220577104830937, 0.059092719214303153, 0.164632484028005, 0.12627402583935432, -0.0062522072078926225, -0.3172414569361579, 0.07479256050040324, -0.11582401133408504, -0.17109703576813143, -0.007224883210091364, 0.012136365524271414, -0.014973845093378, -0.27650199975995793, 0.07725018357991108, -0.010123307847728332, 0.08075213535200981, -0.017331897955210437, -0.13058238657900975, 0.006912628862829435, 0.1203058342973236, 0.05082588126616819, 0.008070296028329592, 0.12716743887535165, -0.12297694295467365, -0.10949083218306657, 0.3795838655105659, -0.09387608230380075, -0.16668702245418293, 0.12293484698360164, -0.2006050114830335, -0.05572580901817197, 0.23992268877724807, 0.13441698077533926, 0.0695661882603807, -0.13977996675766052, 0.07588046974491416, -0.03601350672099562, 0.17984160647860595, 0.12163464825023852, 0.010036367150730387, 0.21270463507445087, 0.08804411057693264, -0.013830833225732758, 0.11094351003633901, -0.09516204035885277, -0.0883683008901287, -0.25877000831422353, -0.06900450341580878, -0.17833001298408602, 0.06185112577818689, -0.03189560663151843, -0.13481107664604983, 0.3705501634716278, 0.13555871883540282, 0.2797574616458622, -0.012384253771354754, 0.2790567271234024, 0.17152180093384925, 0.1308791407871814, 0.036226879250967785, 0.3220878156478561, 0.21293773596130666, 0.06063671712985351, -0.21800153956393756, 0.023433086728411063, -0.028922851765084835] |
711.1829 | Atom Fock state preparation by trap reduction | We study the production of low atom number Fock states by reducing suddenly
the potential trap in a 1D strongly interacting (Tonks-Girardeau) gas. The
fidelity of the Fock state preparation is characterized by the average and
variance of the number of trapped atoms. Two different methods are considered:
making the trap shallower (atom culling [A. M. Dudarev {\it et al.}, Phys. Rev.
Lett. {\bf 98}, 063001 (2007)], also termed ``trap weakening'' here) and making
the trap narrower (trap squeezing). When used independently, the efficiency of
both procedures is limited as a result of the truncation of the final state in
momentum or position space with respect to the ideal atom number state.
However, their combination provides a robust and efficient strategy to create
ideal Fock states.
| quant-ph cond-mat.quant-gas | we study the production of low atom number fock states by reducing suddenly the potential trap in a 1d strongly interacting tonksgirardeau gas the fidelity of the fock state preparation is characterized by the average and variance of the number of trapped atoms two different methods are considered making the trap shallower atom culling a m dudarev it et al phys rev lett bf 98 063001 2007 also termed trap weakening here and making the trap narrower trap squeezing when used independently the efficiency of both procedures is limited as a result of the truncation of the final state in momentum or position space with respect to the ideal atom number state however their combination provides a robust and efficient strategy to create ideal fock states | [['we', 'study', 'the', 'production', 'of', 'low', 'atom', 'number', 'fock', 'states', 'by', 'reducing', 'suddenly', 'the', 'potential', 'trap', 'in', 'a', '1d', 'strongly', 'interacting', 'tonksgirardeau', 'gas', 'the', 'fidelity', 'of', 'the', 'fock', 'state', 'preparation', 'is', 'characterized', 'by', 'the', 'average', 'and', 'variance', 'of', 'the', 'number', 'of', 'trapped', 'atoms', 'two', 'different', 'methods', 'are', 'considered', 'making', 'the', 'trap', 'shallower', 'atom', 'culling', 'a', 'm', 'dudarev', 'it', 'et', 'al', 'phys', 'rev', 'lett', 'bf', '98', '063001', '2007', 'also', 'termed', 'trap', 'weakening', 'here', 'and', 'making', 'the', 'trap', 'narrower', 'trap', 'squeezing', 'when', 'used', 'independently', 'the', 'efficiency', 'of', 'both', 'procedures', 'is', 'limited', 'as', 'a', 'result', 'of', 'the', 'truncation', 'of', 'the', 'final', 'state', 'in', 'momentum', 'or', 'position', 'space', 'with', 'respect', 'to', 'the', 'ideal', 'atom', 'number', 'state', 'however', 'their', 'combination', 'provides', 'a', 'robust', 'and', 'efficient', 'strategy', 'to', 'create', 'ideal', 'fock', 'states']] | [-0.08522536325920373, 0.22543674652650952, -0.013467847305350006, -0.03290250840596855, 0.013019036528188735, -0.16601944306492805, 0.10431775079015643, 0.3671472044363618, -0.1783263460844755, -0.31937438844004645, 0.0010735529493540526, -0.24568828885443508, -0.031788890233263374, 0.16990321873500944, -0.06551299941260368, 0.08133280400186776, 0.07380751952528954, -0.02126587049290538, -0.02921209808252752, -0.2946961399167776, 0.2627363780532032, 0.12254623475670814, 0.3025790612287819, 0.006886073634028435, 0.0742591506112367, 0.04742893357016146, 0.034298144350294026, -0.009269977320218458, -0.11516705489158631, 0.09155225967522711, 0.18781318777799608, 0.06794762124493718, 0.29072101651877164, -0.42875595442950726, -0.17413164697028696, 0.12923335733637215, 0.12067439584061504, 0.17026149208843708, 0.0020820321962237358, -0.33377571077644824, -0.06579698725230992, -0.2403320044055581, -0.17548263227567076, -0.11962012876570224, 0.08954048223048448, 0.026398893867619337, -0.2784457696676254, 0.11878036234318279, 0.06293788184411823, 0.03248164486605674, -0.04790132279135287, -0.09190120110288262, -0.06981329519301653, 0.0045126484755892305, -0.0836185738183558, 0.06312076185457409, 0.16739101869054138, -0.1240886716824025, -0.06840317543596029, 0.3468325830698013, -0.0649839763380587, -0.16362142852693795, 0.23306005385518075, -0.13249546558782457, -0.024372465386986734, 0.11608827166259289, 0.12385194971924647, 0.09317156600952148, -0.0987794263648102, 0.0759665632310789, -0.04153786616027355, 0.15588307799212633, 0.11755028596147894, 0.08833442699562874, 0.18007382844388484, 0.131860026223585, 0.05701001092791557, 0.17706377337127924, -0.13093909598328174, -0.10039916701847687, -0.24870106972008943, -0.1850456049963832, -0.2619901961367577, 0.03319764047116041, 0.004882172637037002, -0.12310209694504738, 0.36918783755227924, 0.11766109512373805, 0.23366278272867202, -0.045066022103652355, 0.27777059173583984, 0.1202132261088118, -0.016094548875465988, 0.09270352188870311, 0.2517063716053963, 0.17931154097244142, 0.05869896145164966, -0.2663987479414791, 0.005408038783818484, 0.04486260496452451] |
711.183 | Steady state entanglement between hybrid light-matter qubits | We study the case of two polaritonic qubits localized in two separate
cavities coupled by a fiber/additional cavity. We show that surprisingly
enough, even a coherent classical pump in the intermediate cavity/fiber can
lead to the creation of entanglement between the two ends in the steady state.
The stationary nature of this entanglement and its survival under dissipation
opens possibilities for its production under realistic laboratory conditions.
To facilitate the verification of the entanglement in an experiment we also
construct the relevant entanglement witness measurable by accessing only a few
local variables of each polaritonic qubit.
| quant-ph | we study the case of two polaritonic qubits localized in two separate cavities coupled by a fiberadditional cavity we show that surprisingly enough even a coherent classical pump in the intermediate cavityfiber can lead to the creation of entanglement between the two ends in the steady state the stationary nature of this entanglement and its survival under dissipation opens possibilities for its production under realistic laboratory conditions to facilitate the verification of the entanglement in an experiment we also construct the relevant entanglement witness measurable by accessing only a few local variables of each polaritonic qubit | [['we', 'study', 'the', 'case', 'of', 'two', 'polaritonic', 'qubits', 'localized', 'in', 'two', 'separate', 'cavities', 'coupled', 'by', 'a', 'fiberadditional', 'cavity', 'we', 'show', 'that', 'surprisingly', 'enough', 'even', 'a', 'coherent', 'classical', 'pump', 'in', 'the', 'intermediate', 'cavityfiber', 'can', 'lead', 'to', 'the', 'creation', 'of', 'entanglement', 'between', 'the', 'two', 'ends', 'in', 'the', 'steady', 'state', 'the', 'stationary', 'nature', 'of', 'this', 'entanglement', 'and', 'its', 'survival', 'under', 'dissipation', 'opens', 'possibilities', 'for', 'its', 'production', 'under', 'realistic', 'laboratory', 'conditions', 'to', 'facilitate', 'the', 'verification', 'of', 'the', 'entanglement', 'in', 'an', 'experiment', 'we', 'also', 'construct', 'the', 'relevant', 'entanglement', 'witness', 'measurable', 'by', 'accessing', 'only', 'a', 'few', 'local', 'variables', 'of', 'each', 'polaritonic', 'qubit']] | [-0.18526845808435036, 0.21785504508803377, -0.08347090139592948, 0.05302576680888275, 0.03020138448643449, -0.19676564606886945, 0.06587541666445568, 0.3580946582810659, -0.24998744906563508, -0.245037458209615, 0.045727793594185065, -0.23219152810542207, -0.06096518649597113, 0.23241393189681203, 0.006766542669777807, 0.07859675570415627, 0.06430880159727836, 0.02990742117460621, -0.037856229428986185, -0.21176295460593936, 0.3279665767742125, 0.00633471472875068, 0.29593384472261136, 0.061102689779363575, 0.07470356697510731, -0.02157441074224679, 0.03780652237014453, -0.03550215668633188, -0.10958344054103547, 0.11578667839302828, 0.262835867604927, 0.09955865283447661, 0.28461857327523543, -0.47185759348304646, -0.1749803570148192, 0.11579810215242967, 0.12045784141580378, 0.18787199777403946, -0.0509581767439254, -0.29936350473006695, -0.009619910490552061, -0.18752901776154574, -0.12912439756879682, -0.08238540308942136, 0.0036985811532328004, -0.019323644456208537, -0.2553261564162217, 0.07745891552828987, 0.066703782710982, 0.013506457104200596, -0.040434660978223146, 0.04332991949723739, -0.02631662719098753, 0.12727340537760604, -0.031750655905833765, -0.048613920768624856, 0.1290407677377133, -0.1564217375321804, -0.1257213272938603, 0.31369715368277146, -0.0729230100681123, -0.18327286555431782, 0.239381931173174, -0.1632682804116293, -0.08736839983275307, 0.09217230983470616, 0.12706810128139823, 0.09991099779543124, -0.1545392151989386, 0.035259052512456514, -0.025711266691551396, 0.17253601179262132, 0.09727792372240832, 0.13701018756255506, 0.22514385831983466, 0.14056405358408627, 0.08299421311209076, 0.2572187474879779, -0.06693281439304548, -0.11052250500805186, -0.34968506655606785, -0.1843558717371994, -0.1906123163374631, 0.07507636951478688, -0.07171665724155518, -0.11474269880472045, 0.44697250086618096, 0.15369868519483135, 0.17797765881313304, -0.03443066117010619, 0.26605840252810403, 0.08057459114168428, 0.04194997787279518, 0.05216943955931224, 0.29642765434752955, 0.13418339609021418, 0.06010496008553003, -0.29050452445976827, 0.04471561120038754, -0.02156955466458672] |
711.1831 | A quantum repeater based on decoherence free subspaces | We study a quantum repeater which is based on decoherence free quantum gates
recently proposed by Klein et al. [Phys. Rev. A 73, 012332 (2006)]. A number of
operations on the decoherence free subspace in this scheme makes use of an
ancilla qubit, which undergoes dephasing and thus introduces decoherence to the
system. We examine how this decoherence affects entanglement swapping and
purification as well as the performance of a quantum repeater. We compare the
decoherence free quantum repeater with a quantum repeater based on qubits that
are subject to decoherence and show that it outperforms the latter when
decoherence due to long waiting times of conventional qubits becomes
significant. Thus, a quantum repeater based on decoherence free subspaces is a
possibility to greatly improve quantum communication over long or even
intercontinental distances.
| quant-ph | we study a quantum repeater which is based on decoherence free quantum gates recently proposed by klein et al phys rev a 73 012332 2006 a number of operations on the decoherence free subspace in this scheme makes use of an ancilla qubit which undergoes dephasing and thus introduces decoherence to the system we examine how this decoherence affects entanglement swapping and purification as well as the performance of a quantum repeater we compare the decoherence free quantum repeater with a quantum repeater based on qubits that are subject to decoherence and show that it outperforms the latter when decoherence due to long waiting times of conventional qubits becomes significant thus a quantum repeater based on decoherence free subspaces is a possibility to greatly improve quantum communication over long or even intercontinental distances | [['we', 'study', 'a', 'quantum', 'repeater', 'which', 'is', 'based', 'on', 'decoherence', 'free', 'quantum', 'gates', 'recently', 'proposed', 'by', 'klein', 'et', 'al', 'phys', 'rev', 'a', '73', '012332', '2006', 'a', 'number', 'of', 'operations', 'on', 'the', 'decoherence', 'free', 'subspace', 'in', 'this', 'scheme', 'makes', 'use', 'of', 'an', 'ancilla', 'qubit', 'which', 'undergoes', 'dephasing', 'and', 'thus', 'introduces', 'decoherence', 'to', 'the', 'system', 'we', 'examine', 'how', 'this', 'decoherence', 'affects', 'entanglement', 'swapping', 'and', 'purification', 'as', 'well', 'as', 'the', 'performance', 'of', 'a', 'quantum', 'repeater', 'we', 'compare', 'the', 'decoherence', 'free', 'quantum', 'repeater', 'with', 'a', 'quantum', 'repeater', 'based', 'on', 'qubits', 'that', 'are', 'subject', 'to', 'decoherence', 'and', 'show', 'that', 'it', 'outperforms', 'the', 'latter', 'when', 'decoherence', 'due', 'to', 'long', 'waiting', 'times', 'of', 'conventional', 'qubits', 'becomes', 'significant', 'thus', 'a', 'quantum', 'repeater', 'based', 'on', 'decoherence', 'free', 'subspaces', 'is', 'a', 'possibility', 'to', 'greatly', 'improve', 'quantum', 'communication', 'over', 'long', 'or', 'even', 'intercontinental', 'distances']] | [-0.1694477965663138, 0.22653275469584563, -0.05931597116886449, -0.005590475542484818, 0.006883400569396808, -0.22788642660917757, 0.1131640502472261, 0.3667753611873359, -0.20548743254389557, -0.26505658979688707, 0.018494354638873244, -0.24962567752647333, -0.131802701750154, 0.2675209328990878, -0.14702195113986954, 0.09566289288429966, 0.09369143583160594, 0.01497521153931275, -0.07122911260939463, -0.29226813536431445, 0.2298182268693511, 0.12689565280469878, 0.314601210016001, 0.05148357347956389, 0.10859365781587094, 0.06364801805701652, 0.04887248158780508, -0.0818489941285181, -0.0975645293555611, 0.05434406527906264, 0.22620862316956422, 0.09341240474688155, 0.2640281609531765, -0.4537653204585825, -0.2613974592361347, 0.0869824455672861, 0.09854770257116709, 0.2248704698885602, 0.015741403389694097, -0.3640501120344813, -0.0033091410654912095, -0.26854306459777, -0.015982019503187752, -0.0788969532551622, 0.05919552010421018, -0.05984005774721447, -0.2141565058128278, 0.07536616724831774, 0.06818307836144406, -0.00613232159328864, 0.07879534416264833, 0.033203687397167926, 0.10630608085171789, 0.0777810792365598, -0.050804449861547106, 0.030677044877950522, 0.17688137140559188, -0.05188907920978123, -0.23023381696215697, 0.3480565414336839, -0.035520560249924324, -0.15966645844063646, 0.21140057734857992, -0.05047174130349343, -0.1077219648741858, 0.042399765573498005, 0.10268600017910726, 0.07469110115592305, -0.14833878131140868, 0.10265099530894295, 0.03211455553931121, 0.19606413178958168, 0.06056476537929498, 0.19895972614701754, 0.12279038972053256, 0.1358979658444265, 0.10912989752885319, 0.18429232003601423, -0.1250139209774456, -0.18660851791929944, -0.2823841165947287, -0.19945091249323205, -0.28457128351792355, 0.20130295926508934, -0.009813873935512729, -0.12594683233760579, 0.3910923278987654, 0.1784401953840082, 0.1651721969456937, 0.018899773928525865, 0.3125057791296701, 0.07815591213503446, 0.08611757128982615, 0.14711653732141494, 0.22171120967407873, 0.15192615387688174, -0.021538628357168483, -0.3310539546646738, 0.04122123984914077, 0.0127501767408803] |
711.1832 | The design of Kinetic Functionals for Many-Body Electron Systems :
Combining analytical theory with Monte Carlo sampling of electronic
configurations | In a previous work [L.Delle Site, J.Phys.A 40, 2787 (2007)] the derivation of
an analytic expression for the kinetic functional of a many-body electron
system has been proposed. Though analytical, the formula is still non local
(multidimensional) and thus not ideal for numerical applications. In this work,
by treating the test case of a uniform gas of interacting spinless electrons,
we propose a computational protocol which combines the previous analytic
results with the Monte Carlo (MC) sampling of electronic configurations in
space. This, we show, leads to an internally consistent scheme to design well
founded local kinetic functionals.
| quant-ph | in a previous work ldelle site jphysa 40 2787 2007 the derivation of an analytic expression for the kinetic functional of a manybody electron system has been proposed though analytical the formula is still non local multidimensional and thus not ideal for numerical applications in this work by treating the test case of a uniform gas of interacting spinless electrons we propose a computational protocol which combines the previous analytic results with the monte carlo mc sampling of electronic configurations in space this we show leads to an internally consistent scheme to design well founded local kinetic functionals | [['in', 'a', 'previous', 'work', 'ldelle', 'site', 'jphysa', '40', '2787', '2007', 'the', 'derivation', 'of', 'an', 'analytic', 'expression', 'for', 'the', 'kinetic', 'functional', 'of', 'a', 'manybody', 'electron', 'system', 'has', 'been', 'proposed', 'though', 'analytical', 'the', 'formula', 'is', 'still', 'non', 'local', 'multidimensional', 'and', 'thus', 'not', 'ideal', 'for', 'numerical', 'applications', 'in', 'this', 'work', 'by', 'treating', 'the', 'test', 'case', 'of', 'a', 'uniform', 'gas', 'of', 'interacting', 'spinless', 'electrons', 'we', 'propose', 'a', 'computational', 'protocol', 'which', 'combines', 'the', 'previous', 'analytic', 'results', 'with', 'the', 'monte', 'carlo', 'mc', 'sampling', 'of', 'electronic', 'configurations', 'in', 'space', 'this', 'we', 'show', 'leads', 'to', 'an', 'internally', 'consistent', 'scheme', 'to', 'design', 'well', 'founded', 'local', 'kinetic', 'functionals']] | [-0.1129589385224612, 0.07089322460269239, -0.1023428189092959, 0.06754152618766253, -0.025973282917642716, -0.10552937025324316, 0.05454009570920667, 0.3560203550210626, -0.20197963360312982, -0.29608660815619703, 0.016396004559001743, -0.24776844161360995, -0.12885525964258104, 0.22063466991038666, -0.03745208515487995, 0.07505149455721845, 0.06844783384957802, -0.02502815708873275, -0.09024737018266137, -0.23006806096311697, 0.2516490443388826, 0.13047388828054704, 0.27401575578626286, 0.04027790966990989, 0.11178258956726833, 0.03368405916382434, -0.03732348591228467, 0.019835740351538202, -0.167797911062491, 0.11937023776153717, 0.23341078432660894, 0.05574394870050175, 0.28072782813273756, -0.45286777144125134, -0.23970034858931968, 0.047469308616631886, 0.14748918970797173, 0.15906926620026723, -0.07425915347604253, -0.24737983863061466, 0.03555671328477101, -0.24519525517075869, -0.14949295699077936, -0.09458777825972162, -0.010735965795339728, 0.03242252949029975, -0.307849054239191, 0.09306946371864412, 0.06244496576075164, 0.06805730568840332, -0.07123458083027724, -0.09404031023474353, 0.02925384708334567, 0.04873994611366892, 0.014047758626156323, 0.06302140473949809, 0.09885008263968162, -0.07584729433520553, -0.1292748742175202, 0.350829581739669, -0.03270307267516775, -0.21247176490436048, 0.2184529302008066, -0.12129257496004713, -0.14165899835373322, 0.15236007852345398, 0.0822182695522962, 0.11751670415330794, -0.20684567263791548, 0.14268876041811362, -0.0778715714677861, 0.12509850856185573, -0.02649883744690913, 0.003061417207006634, 0.15401484754498204, 0.1759165733741817, 0.051698186953273634, 0.14379798017499834, -0.05569931051511433, -0.14341616708564467, -0.2715671635760935, -0.1930882467686669, -0.22549639888030967, 0.053960743309964775, -0.0381695907873512, -0.1911977750834884, 0.36068388629960796, 0.1596991918097759, 0.1374564797511881, 0.04688631544326499, 0.3223219265412424, 0.12287583489201426, -0.013173182768574388, 0.09029894747492886, 0.20050114178165948, 0.12750070666193425, 0.06917891081076921, -0.20676002376856878, 0.025723266962570015, 0.09360237336554325] |
711.1833 | Characterization and performances of new indium loaded organic liquid
scintillators, based on novel indium carboxilate compounds | A novel formulation to dope organic liquid scintillators (OLS) with indium at
concentrations up to 10% is presented: it is based on specific indium
carboxylate compounds adequately synthesized. The produced In-OLS has been
characterized: it has light yield 8500 ph/MeV at indium concentration 5.5% and
light attenuation length of 2,5 m at wavelength of 430 nm. The scintillator
properties were stable during all time of investigation (~ 1 years). The
produced In-OLS is compared to other In-OLS formulations and shows superior
performances. The developed methodic to metal dope OLS can be easily extended
to other metals as Gd, Nd, Cd.
| physics.ins-det | a novel formulation to dope organic liquid scintillators ols with indium at concentrations up to 10 is presented it is based on specific indium carboxylate compounds adequately synthesized the produced inols has been characterized it has light yield 8500 phmev at indium concentration 55 and light attenuation length of 25 m at wavelength of 430 nm the scintillator properties were stable during all time of investigation 1 years the produced inols is compared to other inols formulations and shows superior performances the developed methodic to metal dope ols can be easily extended to other metals as gd nd cd | [['a', 'novel', 'formulation', 'to', 'dope', 'organic', 'liquid', 'scintillators', 'ols', 'with', 'indium', 'at', 'concentrations', 'up', 'to', '10', 'is', 'presented', 'it', 'is', 'based', 'on', 'specific', 'indium', 'carboxylate', 'compounds', 'adequately', 'synthesized', 'the', 'produced', 'inols', 'has', 'been', 'characterized', 'it', 'has', 'light', 'yield', '8500', 'phmev', 'at', 'indium', 'concentration', '55', 'and', 'light', 'attenuation', 'length', 'of', '25', 'm', 'at', 'wavelength', 'of', '430', 'nm', 'the', 'scintillator', 'properties', 'were', 'stable', 'during', 'all', 'time', 'of', 'investigation', '1', 'years', 'the', 'produced', 'inols', 'is', 'compared', 'to', 'other', 'inols', 'formulations', 'and', 'shows', 'superior', 'performances', 'the', 'developed', 'methodic', 'to', 'metal', 'dope', 'ols', 'can', 'be', 'easily', 'extended', 'to', 'other', 'metals', 'as', 'gd', 'nd', 'cd']] | [-0.00025728282123578316, 0.17812026102528578, -0.05230703413241891, 0.004302458215570736, 0.008369359888625567, -0.22909964591434057, 0.0187457601870222, 0.46321544137717496, -0.21498671643473585, -0.3470154168123069, 0.05338836257167236, -0.39552080153365327, -0.020133192595705916, 0.1930094730235975, -0.03968938811672757, 0.019697375106390077, -0.030234348449874857, -0.04562544990142788, -0.09721547114954453, -0.30777299218350135, 0.10828701798060927, 0.08610455320226122, 0.3165613194419579, 0.03925049854818769, 0.0718642346198774, -0.06828698567632172, 0.0519337212441094, -0.005927007682997771, -0.09804490913232469, 0.05695441243417486, 0.30007582967818686, -0.02227537209083411, 0.17061056201393254, -0.40413556063566547, -0.23946045267612043, 0.04060452256464597, 0.1123105979964344, 0.04763622849126055, -0.08866026869744552, -0.238848323990224, 0.13507671497122506, -0.10665984488459247, -0.12617704499926832, -0.00986822262862603, 0.0027039374572911646, 0.008009938447620964, -0.22700267232427693, 0.03183648493517228, 0.00824790989222814, 0.07477767588664787, -0.04844711541264045, -0.24429441186025588, -0.050180739756071506, -0.019626545757431575, 0.039160117622220304, 0.029143772664188286, 0.20460730550970618, 0.015203784897246143, -0.015569389811858084, 0.36458081753943306, -0.10032331983728165, -0.046803138278644636, 0.20911874639274872, -0.14140661522590867, -0.045637713684088956, 0.2734101359506674, 0.13386468914798413, 0.12994960592965585, -0.17611733513573805, 0.02377387634219809, -0.010780607450123162, 0.26017517116711, 0.12821626247405404, 0.054248666654181, 0.19485916399086514, 0.2519510047054012, -0.041907469177562176, 0.09176990539399964, -0.14526747189923142, 0.014075039740125037, -0.13331567418921475, -0.19362343234278148, -0.14284637291337166, 0.032281726060171774, -0.05664275849980039, -0.11864695819494588, 0.3540055898460324, 0.0964456316146287, 0.10773938829361489, -0.04913522947504364, 0.21129659613984816, 0.04140145789168662, 0.12381610791951493, -0.0015481682635392203, 0.28774097462118875, 0.15450065137907826, 0.10892373691736297, -0.18929779470305552, 0.10888587502348754, 0.03419912452198038] |
711.1834 | On the asymptotic behaviour of increasing positive self-similar Markov
processes | We are interested by the rate of growth of increasing positive self-similar
Markov processes (ipssMp) such that the subordinator associated to it via
Lamperti's transformation has infinite mean. We prove that the logarithm of an
ipssMp normalized by the logarithm of the time converges weakly, as the time
tends to infinity, if and only if the Laplace exponent of the underlying
subordinator is regularly varying at zero. Moreover, we prove that the regular
variation at zero of the Laplace exponent is essentially nasc for the existence
of a function that normalizes the logarithm of an ipssMp. We obtain a law of
iterated logarithm for the liminf of the logarithm of an ipssMp and an integral
test to study the upper envelope of it. Furthermore, results concerning the
rate of growth of the random clock appearing in Lamperti's transformation are
obtained.
| math.PR | we are interested by the rate of growth of increasing positive selfsimilar markov processes ipssmp such that the subordinator associated to it via lampertis transformation has infinite mean we prove that the logarithm of an ipssmp normalized by the logarithm of the time converges weakly as the time tends to infinity if and only if the laplace exponent of the underlying subordinator is regularly varying at zero moreover we prove that the regular variation at zero of the laplace exponent is essentially nasc for the existence of a function that normalizes the logarithm of an ipssmp we obtain a law of iterated logarithm for the liminf of the logarithm of an ipssmp and an integral test to study the upper envelope of it furthermore results concerning the rate of growth of the random clock appearing in lampertis transformation are obtained | [['we', 'are', 'interested', 'by', 'the', 'rate', 'of', 'growth', 'of', 'increasing', 'positive', 'selfsimilar', 'markov', 'processes', 'ipssmp', 'such', 'that', 'the', 'subordinator', 'associated', 'to', 'it', 'via', 'lampertis', 'transformation', 'has', 'infinite', 'mean', 'we', 'prove', 'that', 'the', 'logarithm', 'of', 'an', 'ipssmp', 'normalized', 'by', 'the', 'logarithm', 'of', 'the', 'time', 'converges', 'weakly', 'as', 'the', 'time', 'tends', 'to', 'infinity', 'if', 'and', 'only', 'if', 'the', 'laplace', 'exponent', 'of', 'the', 'underlying', 'subordinator', 'is', 'regularly', 'varying', 'at', 'zero', 'moreover', 'we', 'prove', 'that', 'the', 'regular', 'variation', 'at', 'zero', 'of', 'the', 'laplace', 'exponent', 'is', 'essentially', 'nasc', 'for', 'the', 'existence', 'of', 'a', 'function', 'that', 'normalizes', 'the', 'logarithm', 'of', 'an', 'ipssmp', 'we', 'obtain', 'a', 'law', 'of', 'iterated', 'logarithm', 'for', 'the', 'liminf', 'of', 'the', 'logarithm', 'of', 'an', 'ipssmp', 'and', 'an', 'integral', 'test', 'to', 'study', 'the', 'upper', 'envelope', 'of', 'it', 'furthermore', 'results', 'concerning', 'the', 'rate', 'of', 'growth', 'of', 'the', 'random', 'clock', 'appearing', 'in', 'lampertis', 'transformation', 'are', 'obtained']] | [-0.11455737533979118, 0.14721831476157865, -0.12211309100966901, 0.06314294627102623, -0.020191016531316563, -0.08738605572309877, 0.04363600423093885, 0.32350429502714956, -0.3355417090867247, -0.18896054472508175, 0.14908240859679478, -0.28760147310261214, -0.13328641711268574, 0.1898094255211098, -0.050021683903677124, 0.06454093602619, -0.02173626300645992, 0.11489028403136348, -0.04035324138447842, -0.25356466359059726, 0.32741496111266316, 0.06015810644520181, 0.24209279437615935, 0.031054009163718938, 0.13489648619163616, 0.004015674158498379, -0.03268542206912701, -0.04096785149137889, -0.16519389006280108, 0.06507425923898284, 0.1642424932281886, 0.10095598171132483, 0.3027683018665162, -0.3438785094501717, -0.14243587803627764, 0.14922457970678807, 0.16115717650723776, -0.00010487530380487442, -0.010434510044121582, -0.23340636348085744, 0.13308127221784422, -0.1363715270866773, -0.1990072990900704, -0.02149630424433521, 0.07841406197070942, 0.08928609352276129, -0.29957589390022415, 0.09828882992748861, 0.12696074084794548, 0.026938202948700304, -0.06280049466627784, -0.08288457240061169, -0.010487594003123896, 0.1305615199596754, 0.12020087947603315, 0.0027042627758679114, 0.09594841466418334, -0.10332728561479598, -0.09303195977450482, 0.3123041460224028, -0.12718134600602624, -0.18755037664169713, 0.13022931483657366, -0.1901990540924349, -0.11004816104125764, 0.14750995568132827, 0.12559129573471312, 0.12649691936203453, -0.09664159095180887, 0.15185790985539954, -0.06862016044490571, 0.1523712890887899, 0.11066616980492004, -0.019566526564969017, 0.08771114993640887, 0.10037034954875708, 0.13167581664830713, 0.18479406194528564, -0.050776019849165875, -0.12398467394855937, -0.3498625867600952, -0.18786519037426583, -0.22838742744975857, 0.11695260836609772, -0.1694859982599155, -0.21967454381021007, 0.32058864041963325, 0.07927853475308179, 0.22774633684727763, 0.1742209308847253, 0.1995960201968306, 0.25308161963226405, 0.014472707963016416, 0.06179332477040589, 0.1350974844801905, 0.14710928569381523, 0.06492572454236714, -0.23903453696319568, 0.10176069477706083, 0.12747581431509128] |
711.1835 | Properties of a non-equilibrium heat bath | At equilibrium, a fluid element, within a larger heat bath, receives random
impulses from the bath. Those impulses, which induce stochastic transitions in
the system (the fluid element), respect the principle of detailed balance,
because the bath is also at equilibrium. Under continuous shear, the fluid
element adopts a non-equilibrium steady state. Because the surrounding bath of
fluid under shear is also in a non-equilibrium steady state, the system
receives stochastic impulses with a non-equilibrium distribution. Those
impulses no longer respect detailed balance, but are nevertheless constrained
by rules. The rules in question, which are applicable to a wide sub-class of
driven steady states, were recently derived [R. M. L. Evans, Phys. Rev. Lett.
{\bf 92}, 150601 (2004); J. Phys. A: Math. Gen. {\bf 38}, 293 (2005)] using
information-theoretic arguments. In the present paper, we provide a more
fundamental derivation, based on the uncontroversial, non-Bayesian
interpretation of probabilities as simple ratios of countable quantities. We
apply the results to some simple models of interacting particles, to
investigate the nature of forces that are mediated by a non-equilibrium
noise-source such as a fluid under shear.
| cond-mat.stat-mech cond-mat.soft | at equilibrium a fluid element within a larger heat bath receives random impulses from the bath those impulses which induce stochastic transitions in the system the fluid element respect the principle of detailed balance because the bath is also at equilibrium under continuous shear the fluid element adopts a nonequilibrium steady state because the surrounding bath of fluid under shear is also in a nonequilibrium steady state the system receives stochastic impulses with a nonequilibrium distribution those impulses no longer respect detailed balance but are nevertheless constrained by rules the rules in question which are applicable to a wide subclass of driven steady states were recently derived r m l evans phys rev lett bf 92 150601 2004 j phys a math gen bf 38 293 2005 using informationtheoretic arguments in the present paper we provide a more fundamental derivation based on the uncontroversial nonbayesian interpretation of probabilities as simple ratios of countable quantities we apply the results to some simple models of interacting particles to investigate the nature of forces that are mediated by a nonequilibrium noisesource such as a fluid under shear | [['at', 'equilibrium', 'a', 'fluid', 'element', 'within', 'a', 'larger', 'heat', 'bath', 'receives', 'random', 'impulses', 'from', 'the', 'bath', 'those', 'impulses', 'which', 'induce', 'stochastic', 'transitions', 'in', 'the', 'system', 'the', 'fluid', 'element', 'respect', 'the', 'principle', 'of', 'detailed', 'balance', 'because', 'the', 'bath', 'is', 'also', 'at', 'equilibrium', 'under', 'continuous', 'shear', 'the', 'fluid', 'element', 'adopts', 'a', 'nonequilibrium', 'steady', 'state', 'because', 'the', 'surrounding', 'bath', 'of', 'fluid', 'under', 'shear', 'is', 'also', 'in', 'a', 'nonequilibrium', 'steady', 'state', 'the', 'system', 'receives', 'stochastic', 'impulses', 'with', 'a', 'nonequilibrium', 'distribution', 'those', 'impulses', 'no', 'longer', 'respect', 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711.1836 | A Markov process associated with plot-size distribution in Czech Land
Registry and its number-theoretic properties | The size distribution of land plots is a result of land allocation processes
in the past. In the absence of regulation this is a Markov process leading an
equilibrium described by a probabilistic equation used commonly in the
insurance and financial mathematics. We support this claim by analyzing the
distribution of two plot types, garden and build-up areas, in the Czech Land
Registry pointing out the coincidence with the distribution of prime number
factors described by Dickman function in the first case.
| physics.soc-ph q-fin.ST | the size distribution of land plots is a result of land allocation processes in the past in the absence of regulation this is a markov process leading an equilibrium described by a probabilistic equation used commonly in the insurance and financial mathematics we support this claim by analyzing the distribution of two plot types garden and buildup areas in the czech land registry pointing out the coincidence with the distribution of prime number factors described by dickman function in the first case | [['the', 'size', 'distribution', 'of', 'land', 'plots', 'is', 'a', 'result', 'of', 'land', 'allocation', 'processes', 'in', 'the', 'past', 'in', 'the', 'absence', 'of', 'regulation', 'this', 'is', 'a', 'markov', 'process', 'leading', 'an', 'equilibrium', 'described', 'by', 'a', 'probabilistic', 'equation', 'used', 'commonly', 'in', 'the', 'insurance', 'and', 'financial', 'mathematics', 'we', 'support', 'this', 'claim', 'by', 'analyzing', 'the', 'distribution', 'of', 'two', 'plot', 'types', 'garden', 'and', 'buildup', 'areas', 'in', 'the', 'czech', 'land', 'registry', 'pointing', 'out', 'the', 'coincidence', 'with', 'the', 'distribution', 'of', 'prime', 'number', 'factors', 'described', 'by', 'dickman', 'function', 'in', 'the', 'first', 'case']] | [-0.08954623736804579, 0.1031293890216436, -0.11007237616250655, 0.1054898309103675, -0.007903275585438057, -0.03898690468858837, 0.08052381480725981, 0.309929590354242, -0.28665504788571017, -0.296520973964617, 0.10812910983946583, -0.2845925269137341, -0.13368674501685834, 0.1646014864317982, -0.09558046881177622, 0.04479787803379955, -0.008422364387093338, -0.017384518732930104, 0.04161754755939289, -0.23929332791850333, 0.30956955646766665, 0.06492943046387376, 0.31648607851891986, 0.01056329219420327, 0.05103460424466104, 0.047420745539456244, -0.07554197345474144, -0.03153849388586312, -0.12486629883145414, 0.09372880045188273, 0.3090664921782729, 0.16297902692699942, 0.31310782149979255, -0.38241882542738825, -0.20949759824973782, 0.12820983008572423, 0.10513019190090368, 0.015269355371412708, -0.008402070848316682, -0.2553233875234316, -0.00022343479710199484, -0.21098742856666808, -0.1615326282874931, -0.006924303543822068, 0.04661883057163256, 0.06707507442887418, -0.24208271146820085, 0.08668779598821591, 0.06922220117298931, 0.12162132913292181, -0.057526285836857136, -0.12639970953076532, -0.02323587723757799, 0.1502595986353188, 0.07691527362990977, -0.014985602638661498, 0.13089307821810064, -0.14424285738694867, -0.14205815633986055, 0.3447840260909643, -0.05246184940631615, -0.1930637334973165, 0.12357923652829103, -0.16176864181690645, -0.13446860135782782, 0.08943843211206358, 0.15064450003570173, 0.07039034910565356, -0.17787082717617655, 0.06502884022040412, -0.056302493443803454, 0.137722551442183, 0.09548675605073208, -0.08036841173860722, 0.20361292559977212, 0.1921709137798355, 0.04657999239861965, 0.15667896906322823, -0.10023320578720148, -0.1469734254315859, -0.2900012095981255, -0.16667440807781886, -0.18401436117568576, 0.04267106706094814, -0.07748185516663021, -0.16025512667781697, 0.39349414710886776, 0.11848676871372069, 0.17690577398894763, 0.015308819733923527, 0.2555263308217613, 0.12750080173335424, 0.02758109378742009, 0.05759897393106324, 0.14009877657531988, 0.07303605362682081, 0.14638257742200683, -0.17950560557996717, 0.1489183794559411, 0.02426385365017667] |
711.1837 | Superpotentials From Stringy Instantons Without Orientifolds | In this paper we show that it is possible to derive non-perturbative
superpotential terms from a stringy instanton without introducing orientifold
planes. The instanton is realized by a Euclidean D brane wrapping a non-trivial
cycle upon which we also wrap a single space-filling D brane. The standard
problem of unwanted neutral fermionic zero modes is evaded by the appearance of
couplings to charged bosonic zero modes in the instanton moduli action. Since
the Euclidean D brane wraps a cycle which is not associated to any low energy
gauge dynamics, it can not be interpreted as an ordinary gauge instanton, but
rather as a stringy one. By considering such a brane configuration at an
orbifold singularity, we can explicitly evaluate the instanton moduli space
integral and find a holomorphic superpotential term with the structure of a
baryonic mass term.
| hep-th | in this paper we show that it is possible to derive nonperturbative superpotential terms from a stringy instanton without introducing orientifold planes the instanton is realized by a euclidean d brane wrapping a nontrivial cycle upon which we also wrap a single spacefilling d brane the standard problem of unwanted neutral fermionic zero modes is evaded by the appearance of couplings to charged bosonic zero modes in the instanton moduli action since the euclidean d brane wraps a cycle which is not associated to any low energy gauge dynamics it can not be interpreted as an ordinary gauge instanton but rather as a stringy one by considering such a brane configuration at an orbifold singularity we can explicitly evaluate the instanton moduli space integral and find a holomorphic superpotential term with the structure of a baryonic mass term | [['in', 'this', 'paper', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'derive', 'nonperturbative', 'superpotential', 'terms', 'from', 'a', 'stringy', 'instanton', 'without', 'introducing', 'orientifold', 'planes', 'the', 'instanton', 'is', 'realized', 'by', 'a', 'euclidean', 'd', 'brane', 'wrapping', 'a', 'nontrivial', 'cycle', 'upon', 'which', 'we', 'also', 'wrap', 'a', 'single', 'spacefilling', 'd', 'brane', 'the', 'standard', 'problem', 'of', 'unwanted', 'neutral', 'fermionic', 'zero', 'modes', 'is', 'evaded', 'by', 'the', 'appearance', 'of', 'couplings', 'to', 'charged', 'bosonic', 'zero', 'modes', 'in', 'the', 'instanton', 'moduli', 'action', 'since', 'the', 'euclidean', 'd', 'brane', 'wraps', 'a', 'cycle', 'which', 'is', 'not', 'associated', 'to', 'any', 'low', 'energy', 'gauge', 'dynamics', 'it', 'can', 'not', 'be', 'interpreted', 'as', 'an', 'ordinary', 'gauge', 'instanton', 'but', 'rather', 'as', 'a', 'stringy', 'one', 'by', 'considering', 'such', 'a', 'brane', 'configuration', 'at', 'an', 'orbifold', 'singularity', 'we', 'can', 'explicitly', 'evaluate', 'the', 'instanton', 'moduli', 'space', 'integral', 'and', 'find', 'a', 'holomorphic', 'superpotential', 'term', 'with', 'the', 'structure', 'of', 'a', 'baryonic', 'mass', 'term']] | [-0.20575346635060682, 0.20196698015016687, -0.09335405395965635, 0.1396603099453479, -0.11674595415167024, -0.16414801714658414, 0.022888919295560892, 0.2787986870693124, -0.2169081154566231, -0.2311009067259189, 0.06617067300248891, -0.2490283559359934, -0.16797992567518266, 0.07321309550847534, -0.09467390696923046, -0.02151121481311629, 0.0002562167676354664, 0.06205924933749265, -0.057375978751435366, -0.29026779907914146, 0.36067765195300616, -0.001637457812582885, 0.21540215103279636, 0.07803866894159844, 0.12120031226979758, -0.034187916477305305, 0.02727856456497819, 0.025754503642362408, -0.11057484790749647, 0.07864551552389142, 0.21265227145150953, 0.02353227074501405, 0.08798585551541191, -0.4260030525965967, -0.23163662352126793, 0.1529212249830986, 0.21844737462537445, 0.16394970801395728, 0.01494235149247275, -0.27478099043440557, 0.06820459222164599, -0.17606436891778224, -0.17232215712420587, -0.09771684447195435, 0.02085996791045519, -0.13277716490615538, -0.2169685095799176, 0.02199047936976084, 0.010217486455550661, 0.014199904398149069, -0.025329525413352698, -0.07537222023634915, -0.12927778829496517, 0.046339471972938896, 0.13739884236449565, 0.11933505195496685, 0.14260556094307938, -0.17954916640667143, -0.1303563638412279, 0.3934386949311348, -0.11881096242670564, -0.2816195312239554, 0.10382231753117041, -0.09484743356934168, -0.09271866470183907, 0.14458687788388436, 0.06859636207725313, 0.17633514323244817, -0.11583105490949558, 0.22739504373685518, -0.027080488146579675, 0.14233700254851062, 0.12473265616817103, 0.02216087599230957, 0.2933953465806131, 0.08455821607207907, 0.08133158475781481, 0.15387891803486814, -0.032023788163644276, -0.11346823105333792, -0.4314302811264128, -0.13727170216979162, -0.14150013212465506, 0.17636019134901607, -0.14071260335291247, -0.21566666688338137, 0.36173597953714215, 0.02472011495273614, 0.24975890755329444, 0.023177512791480167, 0.2530376322068058, 0.08377078771287494, 0.11227618083965195, 0.00221972412807678, 0.23600740429094952, 0.053450114807397454, 0.05462460923076108, -0.26377968269946944, -0.11084041434367174, 0.20470502533936413] |
711.1838 | Applying a resources framework to analysis of the Force and Motion
Conceptual Evaluation | We suggest one redefinition of common clusters of questions used to analyze
student responses on the Force and Motion Conceptual Evaluation (FMCE). Our
goal is to move beyond the expert/novice analysis of student learning based on
pre-/post-testing and the correctness of responses (either on the overall test
or on clusters of questions defined solely by content). We use a resources
framework, taking special note of the contextual and representational
dependence of questions with seemingly similar physics content. We analyze
clusters in ways that allow the most common incorrect answers to give as much,
or more, information as the correctness of responses in that cluster.
Furthermore, we show that false positives can be found, especially on questions
dealing with Newton's Third Law.
| physics.ed-ph | we suggest one redefinition of common clusters of questions used to analyze student responses on the force and motion conceptual evaluation fmce our goal is to move beyond the expertnovice analysis of student learning based on preposttesting and the correctness of responses either on the overall test or on clusters of questions defined solely by content we use a resources framework taking special note of the contextual and representational dependence of questions with seemingly similar physics content we analyze clusters in ways that allow the most common incorrect answers to give as much or more information as the correctness of responses in that cluster furthermore we show that false positives can be found especially on questions dealing with newtons third law | [['we', 'suggest', 'one', 'redefinition', 'of', 'common', 'clusters', 'of', 'questions', 'used', 'to', 'analyze', 'student', 'responses', 'on', 'the', 'force', 'and', 'motion', 'conceptual', 'evaluation', 'fmce', 'our', 'goal', 'is', 'to', 'move', 'beyond', 'the', 'expertnovice', 'analysis', 'of', 'student', 'learning', 'based', 'on', 'preposttesting', 'and', 'the', 'correctness', 'of', 'responses', 'either', 'on', 'the', 'overall', 'test', 'or', 'on', 'clusters', 'of', 'questions', 'defined', 'solely', 'by', 'content', 'we', 'use', 'a', 'resources', 'framework', 'taking', 'special', 'note', 'of', 'the', 'contextual', 'and', 'representational', 'dependence', 'of', 'questions', 'with', 'seemingly', 'similar', 'physics', 'content', 'we', 'analyze', 'clusters', 'in', 'ways', 'that', 'allow', 'the', 'most', 'common', 'incorrect', 'answers', 'to', 'give', 'as', 'much', 'or', 'more', 'information', 'as', 'the', 'correctness', 'of', 'responses', 'in', 'that', 'cluster', 'furthermore', 'we', 'show', 'that', 'false', 'positives', 'can', 'be', 'found', 'especially', 'on', 'questions', 'dealing', 'with', 'newtons', 'third', 'law']] | [-0.048737828462275076, 0.052288179794529904, -0.10168993607664309, 0.10512148498600553, -0.13793723506876462, -0.14018670131037592, 0.11495008406878895, 0.35407657980793666, -0.24907808201563614, -0.3693075310595396, 0.06438594848942794, -0.3029730785970709, -0.15823394173028402, 0.19289600547450056, -0.12394705082156829, 0.0011529800679706851, 0.059180967768012474, 0.05956017106434941, -0.0274261319207638, -0.32462076254251626, 0.3520557027537094, 0.06756936854334596, 0.26391479445762245, 0.03599524579183081, 0.07091244953457548, 0.00965526094073195, -0.07013583812126968, 0.04729499029261725, -0.09487904628885259, 0.14551328829129642, 0.25816919128293125, 0.2006119086735827, 0.3378875694480263, -0.43366491515972033, -0.16628932555699172, 0.03715699599633197, 0.12757087508588247, 0.08455745432478916, -0.05749072249503826, -0.2900037321442065, 0.07283335094322536, -0.12441331111364254, -0.08726178002352983, -0.11985175292782423, -0.0011268808944698643, 0.03348738275969229, -0.2098394436996524, 0.06347692299227253, 0.0853601151122516, 0.07678673738817207, -0.0581188080793231, -0.12463473909761474, 0.054900640118945424, 0.16533655524175583, 0.08782608741884582, 0.002398592188069988, 0.1568980715824526, -0.16279911207614325, -0.14701812820775167, 0.42632126706425383, -0.022885224742799245, -0.19273774923772372, 0.23163885986549826, -0.12308925464201499, -0.1628033477811049, 0.026660204486444027, 0.2094110199680724, 0.09272990856025448, -0.14545349864398732, -0.00670301670183138, -0.023812900581044936, 0.21803769546740948, 0.06969622978471032, 0.019844524253222372, 0.22416431217614813, 0.14597471550639188, 0.02076594068222687, 0.12149463679950621, -0.03240071878300886, -0.08285454268559438, -0.2780894678782578, -0.1482653578884211, -0.14216212277151957, 0.03985508099421389, -0.05370158782317362, -0.13641804603452817, 0.3805317012514888, 0.22546097282085473, 0.1853657539292168, 0.058212202136256115, 0.2670571406630157, 0.06302267170859453, 0.07140252963804147, 0.05959472295382068, 0.19482129442842067, 0.07405892355531893, 0.0778609137363857, -0.18434535908833646, 0.10764966650764231, 0.019449308746447395] |
711.1839 | Incoherent pion photoproduction on $^{12}$C | We present the first detailed measurement of incoherent photoproduction of
neutral pions to a discrete state of a residual nucleus. The
$^{12}$C$(\gamma,\pi^{0})^{12}$C$^{*}_{4.4MeV}$ reaction has been studied with
the Glasgow photon tagger at MAMI employing a new technique which uses the
large solid angle Crystal Ball detector both as a $\pi^{0}$ spectrometer and to
detect decay photons from the excited residual nucleus. The technique has
potential applications to a broad range of future nuclear measurements with the
Crystal Ball and similar detector systems elsewhere. The data are sensitive to
the propagation of the $\Delta$ in the nuclear medium and will give the first
information on matter transition form factors from measurements with an
electromagnetic probe. The incoherent cross sections are compared to two
theoretical predictions including a $\Delta$-hole model.
| nucl-ex | we present the first detailed measurement of incoherent photoproduction of neutral pions to a discrete state of a residual nucleus the 12cgammapi012c_44mev reaction has been studied with the glasgow photon tagger at mami employing a new technique which uses the large solid angle crystal ball detector both as a pi0 spectrometer and to detect decay photons from the excited residual nucleus the technique has potential applications to a broad range of future nuclear measurements with the crystal ball and similar detector systems elsewhere the data are sensitive to the propagation of the delta in the nuclear medium and will give the first information on matter transition form factors from measurements with an electromagnetic probe the incoherent cross sections are compared to two theoretical predictions including a deltahole model | [['we', 'present', 'the', 'first', 'detailed', 'measurement', 'of', 'incoherent', 'photoproduction', 'of', 'neutral', 'pions', 'to', 'a', 'discrete', 'state', 'of', 'a', 'residual', 'nucleus', 'the', '12cgammapi012c_44mev', 'reaction', 'has', 'been', 'studied', 'with', 'the', 'glasgow', 'photon', 'tagger', 'at', 'mami', 'employing', 'a', 'new', 'technique', 'which', 'uses', 'the', 'large', 'solid', 'angle', 'crystal', 'ball', 'detector', 'both', 'as', 'a', 'pi0', 'spectrometer', 'and', 'to', 'detect', 'decay', 'photons', 'from', 'the', 'excited', 'residual', 'nucleus', 'the', 'technique', 'has', 'potential', 'applications', 'to', 'a', 'broad', 'range', 'of', 'future', 'nuclear', 'measurements', 'with', 'the', 'crystal', 'ball', 'and', 'similar', 'detector', 'systems', 'elsewhere', 'the', 'data', 'are', 'sensitive', 'to', 'the', 'propagation', 'of', 'the', 'delta', 'in', 'the', 'nuclear', 'medium', 'and', 'will', 'give', 'the', 'first', 'information', 'on', 'matter', 'transition', 'form', 'factors', 'from', 'measurements', 'with', 'an', 'electromagnetic', 'probe', 'the', 'incoherent', 'cross', 'sections', 'are', 'compared', 'to', 'two', 'theoretical', 'predictions', 'including', 'a', 'deltahole', 'model']] | [-0.03833173678506818, 0.16968668185966915, -0.13036805491616738, 0.044874241201603035, -0.03996886250262303, -0.12267922229448876, 0.02104715117634692, 0.3667161681755321, -0.2135730703676662, -0.28076744948213145, 0.02280439256129449, -0.3763103706608196, -0.00394334006453241, 0.16767546566254568, 0.065946682209633, 0.10521475117154948, 0.0473564031816227, 0.04141247831285, -0.059961221173522976, -0.11636922823716189, 0.3038387018270556, 0.11706551100589394, 0.27126378115856886, 0.09362863277932575, 0.11453930921504259, 0.030252925589622007, -0.03965476909139025, -0.04008832265160919, -0.11854197379952391, 0.08470302482876252, 0.2500676473851983, 0.07096364691039532, 0.178250861141508, -0.4171573302055907, -0.173296643380721, 0.09760866921915724, 0.10874964426799612, 0.13452087810875363, -0.1007669357038433, -0.3249879454475219, 0.03295485778871234, -0.1853748781654221, -0.12148156909521406, -0.07705681477710018, -0.012932274646426397, 0.013732014539262911, -0.2679495818208991, 0.028206096008771987, -0.02775498672652491, 0.023242618172708167, -0.059903380761700355, -0.15624997187332493, 0.029706820099445894, 0.08108552137763775, 0.027077079038355704, 0.08342328243068507, 0.20119082396043333, -0.13127551643603194, -0.10587219960298243, 0.3885022490102006, -0.06254196127209313, -0.14207512379337953, 0.14607201009167461, -0.21641182426182648, -0.10740508062317675, 0.2035855084445005, 0.23260585577355508, 0.09588688354220563, -0.17799789023651616, 0.028413103859024635, -0.0371705233852753, 0.19331542298740406, 0.04944118594486765, 0.06590804104568569, 0.15616695040756265, 0.21571507454505118, -0.011433911546478121, 0.11398839743763912, -0.17619287702722444, -0.04318016370039756, -0.3347843001141968, -0.12607001273445492, -0.12099342533629241, 0.04054872322768912, -0.016589321310202937, -0.0935374973708485, 0.3759276499792083, 0.040673741166971214, 0.21493843487852554, -0.04074365394758281, 0.32878742898323055, 0.062567736745416, 0.07623022730557585, 0.01891134103657458, 0.31640748096644644, 0.19792775611033825, 0.13249978592883296, -0.21944280324767776, 0.04084556695719169, -0.012859632253764183] |
711.184 | Number variance of random zeros on complex manifolds, II: smooth
statistics | We consider the zero sets $Z_N$ of systems of $m$ random polynomials of
degree $N$ in $m$ complex variables, and we give asymptotic formulas for the
random variables given by summing a smooth test function over $Z_N$. Our
asymptotic formulas show that the variances for these smooth statistics have
the growth $N^{m-2}$. We also prove analogues for the integrals of smooth test
forms over the subvarieties defined by $k<m$ random polynomials. Such linear
statistics of random zero sets are smooth analogues of the random variables
given by counting the number of zeros in an open set, which we proved elsewhere
to have variances of order $N^{m-1/2}$. We use the variance asymptotics and
off-diagonal estimates of Szego kernels to extend an asymptotic normality
result of Sodin-Tsirelson to the case of smooth linear statistics for zero sets
of codimension one in any dimension $m$.
| math.CV math.AG math.PR | we consider the zero sets z_n of systems of m random polynomials of degree n in m complex variables and we give asymptotic formulas for the random variables given by summing a smooth test function over z_n our asymptotic formulas show that the variances for these smooth statistics have the growth nm2 we also prove analogues for the integrals of smooth test forms over the subvarieties defined by km random polynomials such linear statistics of random zero sets are smooth analogues of the random variables given by counting the number of zeros in an open set which we proved elsewhere to have variances of order nm12 we use the variance asymptotics and offdiagonal estimates of szego kernels to extend an asymptotic normality result of sodintsirelson to the case of smooth linear statistics for zero sets of codimension one in any dimension m | [['we', 'consider', 'the', 'zero', 'sets', 'z_n', 'of', 'systems', 'of', 'm', 'random', 'polynomials', 'of', 'degree', 'n', 'in', 'm', 'complex', 'variables', 'and', 'we', 'give', 'asymptotic', 'formulas', 'for', 'the', 'random', 'variables', 'given', 'by', 'summing', 'a', 'smooth', 'test', 'function', 'over', 'z_n', 'our', 'asymptotic', 'formulas', 'show', 'that', 'the', 'variances', 'for', 'these', 'smooth', 'statistics', 'have', 'the', 'growth', 'nm2', 'we', 'also', 'prove', 'analogues', 'for', 'the', 'integrals', 'of', 'smooth', 'test', 'forms', 'over', 'the', 'subvarieties', 'defined', 'by', 'km', 'random', 'polynomials', 'such', 'linear', 'statistics', 'of', 'random', 'zero', 'sets', 'are', 'smooth', 'analogues', 'of', 'the', 'random', 'variables', 'given', 'by', 'counting', 'the', 'number', 'of', 'zeros', 'in', 'an', 'open', 'set', 'which', 'we', 'proved', 'elsewhere', 'to', 'have', 'variances', 'of', 'order', 'nm12', 'we', 'use', 'the', 'variance', 'asymptotics', 'and', 'offdiagonal', 'estimates', 'of', 'szego', 'kernels', 'to', 'extend', 'an', 'asymptotic', 'normality', 'result', 'of', 'sodintsirelson', 'to', 'the', 'case', 'of', 'smooth', 'linear', 'statistics', 'for', 'zero', 'sets', 'of', 'codimension', 'one', 'in', 'any', 'dimension', 'm']] | [-0.17451767594196854, 0.10981832882112837, -0.08386519018573858, 0.06685646365112657, -0.016557536051602015, -0.08668592330134402, 0.03251435535923571, 0.30385226925755754, -0.24622700078056214, -0.19348568732500182, 0.10295368335127222, -0.2609335201898101, -0.1320700254737142, 0.2203713312286038, -0.09268015086983582, 0.0906169057843533, 0.008724039043993392, 0.06471209273283891, -0.08728300818532758, -0.3739314748928717, 0.3446033537876627, -0.06504093728801037, 0.21309877288072032, -0.02994643115597044, 0.1146634396938409, 0.03335776744767072, -0.031939111240472357, -0.005240303848156745, -0.1609345946995255, 0.09386785630902923, 0.264485258054226, 0.09874961077374347, 0.25777116864391253, -0.3748001436709512, -0.16725146460201565, 0.2050265018920685, 0.15394561842136772, 0.030616474777116633, 0.051495345410104865, -0.25159404723218093, 0.1198599327319295, -0.12223689489535977, -0.225578643137206, -0.1069270564087977, 0.05238826268398804, 0.11957042911692674, -0.31902699807909785, 0.053519491362013914, 0.11530196339928987, 0.12279465877127352, -0.004796387238018479, -0.1824841253849156, 0.0026977198687216913, 0.08909572228865288, 0.04308644130228233, -0.028842772132591576, 0.04361449742148109, -0.08736842455910453, -0.1216614839343473, 0.2687726641133269, -0.06764754544818073, -0.27829806784048994, 0.12554767367872574, -0.21797311317558724, -0.1428040015306456, 0.10965972603133596, 0.1684216232243793, 0.14457936181706635, -0.0820636693982685, 0.15542934689561816, -0.08376653664844468, 0.07277090748002528, 0.14528931093118186, 0.02630971716254527, 0.14118464074447645, 0.03770379951316203, 0.10893875975425996, 0.15679396416807007, -0.05170365822904393, -0.06507816772366352, -0.36104659894679453, -0.14749764177472668, -0.23508819811548112, 0.12925894718273734, -0.20727270458150385, -0.22975791550855687, 0.3661850330862382, 0.11365805633683154, 0.24367504835075943, 0.17229451628728829, 0.21475098566449385, 0.14343824054963691, 0.006235785042563229, 0.08689285207751161, 0.07556380773399105, 0.22337411283284214, 0.006103442841480281, -0.13121990914496176, 0.04156813327989257, 0.14314689119973928] |
711.1841 | Lightlike Braneworlds | We propose a new class of p-brane models describing intrinsically lightlike
branes in any world-volume dimensions. Properties of the dynamics of these
lightlike p-branes in various gravitational backgrounds of interest in the
context of braneworlds are briefly described. Codimenion two (and more)
lightlike braneworlds perform in their ground states non-trivial motions in the
extra dimensions in sharp contrast to standard (Nambu-Goto) braneworlds.
| hep-th gr-qc | we propose a new class of pbrane models describing intrinsically lightlike branes in any worldvolume dimensions properties of the dynamics of these lightlike pbranes in various gravitational backgrounds of interest in the context of braneworlds are briefly described codimenion two and more lightlike braneworlds perform in their ground states nontrivial motions in the extra dimensions in sharp contrast to standard nambugoto braneworlds | [['we', 'propose', 'a', 'new', 'class', 'of', 'pbrane', 'models', 'describing', 'intrinsically', 'lightlike', 'branes', 'in', 'any', 'worldvolume', 'dimensions', 'properties', 'of', 'the', 'dynamics', 'of', 'these', 'lightlike', 'pbranes', 'in', 'various', 'gravitational', 'backgrounds', 'of', 'interest', 'in', 'the', 'context', 'of', 'braneworlds', 'are', 'briefly', 'described', 'codimenion', 'two', 'and', 'more', 'lightlike', 'braneworlds', 'perform', 'in', 'their', 'ground', 'states', 'nontrivial', 'motions', 'in', 'the', 'extra', 'dimensions', 'in', 'sharp', 'contrast', 'to', 'standard', 'nambugoto', 'braneworlds']] | [-0.19020394824605558, 0.19492990922060657, -0.016379539862458336, 0.14067378452383592, -0.06371831672540942, -0.16743714958582012, -0.08948642837616508, 0.3544353457076139, -0.12077688268523236, -0.23126602896535006, 0.028037026043614893, -0.2585017621234731, -0.15317124656600054, 0.10602891979525324, -0.10680310167162298, 0.047561234151410156, -0.028030172341549007, 0.03464783150244687, -0.06422176279249739, -0.24880898304161478, 0.399526806761984, -0.024413844784263703, 0.2671934916011867, -0.014872565953305265, 0.06582998325590228, -0.059604631622367704, -0.019638337893411517, 0.0699856240821422, -0.1418864944888676, 0.15507133783997784, 0.22008197360986234, 0.08412324380679209, 0.08924112426208668, -0.509274314661495, -0.2760344251043728, 0.09006973462118233, 0.21574904711260537, 0.18003365783723163, -0.008470134583700708, -0.34107063383963265, -0.013700182749446076, -0.15820074166919365, -0.2145228578602193, -0.08945495350721491, 0.028651466990103486, -0.08753511902005946, -0.13921477717297823, 0.09192509777446994, 0.05229827257056461, 0.01679853745879315, -0.08482998608588622, -0.02494411461711785, -0.048752020397528885, 0.06495784066586954, 0.1615068113706151, -0.014505158871274869, 0.12046065475394735, -0.2188502889905186, -0.23596273679438917, 0.3615386199938958, -0.09286341500147934, -0.3286212591271176, 0.20691540719727514, -0.17805732508022032, -0.1813541724285508, 0.09177619351654268, 0.1726978580757487, 0.2012548195274516, -0.18011702752870615, 0.19376760145535285, 0.04313027029704364, 0.050079212443364905, 0.15962254815566979, 0.10475882442026842, 0.3174088683101486, 0.12364917056879303, 0.011943100886724766, 0.17896206918187807, -0.0386898778836991, -0.12099373419998122, -0.43363156001709524, -0.14006313656410965, -0.058044762365886425, 0.10153717942322131, -0.17261842154247922, -0.21937497607508644, 0.3837558519034112, 0.10713770798575438, 0.20800785018278087, -0.019878112436195867, 0.19616571246631076, -0.017792448445345412, 0.014210972427314178, 0.07455322914947679, 0.28046055519037316, 0.10328024467758712, 0.09152836719008743, -0.16790976547865105, -0.13179316305265318, 0.1436316716354951] |
711.1842 | Cosmic microwave anisotropies from BPS semilocal strings | We present the first ever calculation of cosmic microwave background CMB
anisotropy power spectra from semilocal cosmic strings, obtained via
simulations of a classical field theory. Semilocal strings are a type of
non-topological defect arising in some models of inflation motivated by
fundamental physics, and are thought to relax the constraints on the symmetry
breaking scale as compared to models with (topological) cosmic strings. We
derive constraints on the model parameters, including the string tension
parameter mu, from fits to cosmological data, and find that in this regard BPS
semilocal strings resemble global textures more than topological strings. The
observed microwave anisotropy at l = 10 is reproduced if Gmu = 5.3x10^{-6} (G
is Newton's constant). However as with other defects the spectral shape does
not match observations, and in models with inflationary perturbations plus
semilocal strings the 95% confidence level upper bound is Gmu<2.0x10^{-6} when
CMB data, Hubble Key Project and Big Bang Nucleosynthesis data are used (c.f.
Gmu<0.9x10^{-6} for cosmic strings). We additionally carry out a Bayesian model
comparison of several models with and without defects, showing models with
defects are neither conclusively favoured nor disfavoured at present.
| astro-ph hep-th | we present the first ever calculation of cosmic microwave background cmb anisotropy power spectra from semilocal cosmic strings obtained via simulations of a classical field theory semilocal strings are a type of nontopological defect arising in some models of inflation motivated by fundamental physics and are thought to relax the constraints on the symmetry breaking scale as compared to models with topological cosmic strings we derive constraints on the model parameters including the string tension parameter mu from fits to cosmological data and find that in this regard bps semilocal strings resemble global textures more than topological strings the observed microwave anisotropy at l 10 is reproduced if gmu 53x106 g is newtons constant however as with other defects the spectral shape does not match observations and in models with inflationary perturbations plus semilocal strings the 95 confidence level upper bound is gmu20x106 when cmb data hubble key project and big bang nucleosynthesis data are used cf gmu09x106 for cosmic strings we additionally carry out a bayesian model comparison of several models with and without defects showing models with defects are neither conclusively favoured nor disfavoured at present | [['we', 'present', 'the', 'first', 'ever', 'calculation', 'of', 'cosmic', 'microwave', 'background', 'cmb', 'anisotropy', 'power', 'spectra', 'from', 'semilocal', 'cosmic', 'strings', 'obtained', 'via', 'simulations', 'of', 'a', 'classical', 'field', 'theory', 'semilocal', 'strings', 'are', 'a', 'type', 'of', 'nontopological', 'defect', 'arising', 'in', 'some', 'models', 'of', 'inflation', 'motivated', 'by', 'fundamental', 'physics', 'and', 'are', 'thought', 'to', 'relax', 'the', 'constraints', 'on', 'the', 'symmetry', 'breaking', 'scale', 'as', 'compared', 'to', 'models', 'with', 'topological', 'cosmic', 'strings', 'we', 'derive', 'constraints', 'on', 'the', 'model', 'parameters', 'including', 'the', 'string', 'tension', 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711.1843 | A search for diffuse bands in the circumstellar envelopes of post-AGB
stars | In this work we present the results of a systematic search for diffuse bands
(DBs, hereafter) in the circumstellar envelopes of a carefully selected sample
of post-AGB stars. We concentrated on the analysis of 9 of the DBs most
commonly found in the interstellar medium. The strength of these features is
determined using high resolution optical spectroscopy and the results obtained
are compared with literature data on field stars affected only by interstellar
reddening. Based on the weak features observed in the subsample of post-AGB
stars dominated by circumstellar reddening we conclude that the carrier(s) of
these DBs must not be present in the circumstellar environment of these
sources, or at least not under the excitation conditions in which DBs are
formed. The conclusion is applicable to all the post-AGB stars studied,
irrespective of the dominant chemistry or the spectral type of the star
considered. A detailed radial velocity analysis of the features observed in
individual sources confirms this result, as the Doppler shifts measured are
found to be consistent with an interstellar origin.
| astro-ph | in this work we present the results of a systematic search for diffuse bands dbs hereafter in the circumstellar envelopes of a carefully selected sample of postagb stars we concentrated on the analysis of 9 of the dbs most commonly found in the interstellar medium the strength of these features is determined using high resolution optical spectroscopy and the results obtained are compared with literature data on field stars affected only by interstellar reddening based on the weak features observed in the subsample of postagb stars dominated by circumstellar reddening we conclude that the carriers of these dbs must not be present in the circumstellar environment of these sources or at least not under the excitation conditions in which dbs are formed the conclusion is applicable to all the postagb stars studied irrespective of the dominant chemistry or the spectral type of the star considered a detailed radial velocity analysis of the features observed in individual sources confirms this result as the doppler shifts measured are found to be consistent with an interstellar origin | [['in', 'this', 'work', 'we', 'present', 'the', 'results', 'of', 'a', 'systematic', 'search', 'for', 'diffuse', 'bands', 'dbs', 'hereafter', 'in', 'the', 'circumstellar', 'envelopes', 'of', 'a', 'carefully', 'selected', 'sample', 'of', 'postagb', 'stars', 'we', 'concentrated', 'on', 'the', 'analysis', 'of', '9', 'of', 'the', 'dbs', 'most', 'commonly', 'found', 'in', 'the', 'interstellar', 'medium', 'the', 'strength', 'of', 'these', 'features', 'is', 'determined', 'using', 'high', 'resolution', 'optical', 'spectroscopy', 'and', 'the', 'results', 'obtained', 'are', 'compared', 'with', 'literature', 'data', 'on', 'field', 'stars', 'affected', 'only', 'by', 'interstellar', 'reddening', 'based', 'on', 'the', 'weak', 'features', 'observed', 'in', 'the', 'subsample', 'of', 'postagb', 'stars', 'dominated', 'by', 'circumstellar', 'reddening', 'we', 'conclude', 'that', 'the', 'carriers', 'of', 'these', 'dbs', 'must', 'not', 'be', 'present', 'in', 'the', 'circumstellar', 'environment', 'of', 'these', 'sources', 'or', 'at', 'least', 'not', 'under', 'the', 'excitation', 'conditions', 'in', 'which', 'dbs', 'are', 'formed', 'the', 'conclusion', 'is', 'applicable', 'to', 'all', 'the', 'postagb', 'stars', 'studied', 'irrespective', 'of', 'the', 'dominant', 'chemistry', 'or', 'the', 'spectral', 'type', 'of', 'the', 'star', 'considered', 'a', 'detailed', 'radial', 'velocity', 'analysis', 'of', 'the', 'features', 'observed', 'in', 'individual', 'sources', 'confirms', 'this', 'result', 'as', 'the', 'doppler', 'shifts', 'measured', 'are', 'found', 'to', 'be', 'consistent', 'with', 'an', 'interstellar', 'origin']] | [-0.06706136598448462, 0.09953338796436458, -0.06191409053013328, 0.05029656583558361, -0.057414820633197056, -0.03893108317767666, 0.06493993706455262, 0.440764082895442, -0.18682473997020793, -0.3037817366046553, 0.05059037615087461, -0.2810600715924868, -0.05284980735099264, 0.17424321836315568, -0.05237774820677165, -0.036109838858862334, 0.0771066118366267, -0.04345808408073225, -0.019767568357021717, -0.2470124230985048, 0.32700279701886503, 0.063736528259884, 0.17834189278608853, -0.009913843036162594, 0.0015660435420958776, -0.09537632064760031, -0.12007419827083747, 0.004765158535206112, -0.1299431306812541, 0.07150664877269589, 0.24464803878298222, 0.08409777079205746, 0.2081971569093822, -0.37982500920950496, -0.26717696147542663, 0.051429085982107055, 0.1845173500933224, 0.0642276998554442, -0.07795761425206009, -0.296666400838943, 0.09080323555918902, -0.09743078465536023, -0.16223232743019858, 0.026527958263070375, 0.00824889252109496, 0.06297299458013697, -0.22639244797521796, 0.10051401478409681, 0.050401418538089715, 0.13068025162571978, -0.14414538578103542, -0.14947148078206884, -0.0723200186674922, 0.08187796491005554, 0.02367320655572132, 0.004145497126349558, 0.14062126358735494, -0.13125754384880609, -0.012006238654213047, 0.4302715528970477, -0.10465675028276512, -0.06909381549042012, 0.2218637889874671, -0.19187786424768039, -0.1629322603453304, 0.15850165917206255, 0.14556448409419465, 0.18216883790433064, -0.19613332977925224, -0.030558307112887737, -0.010968455221188179, 0.18950604046052644, 0.04534755313592353, 0.1026193598504767, 0.2579258607550599, 0.1215167017459559, -0.008338374208830211, 0.1112362091334526, -0.20149753247146848, -0.036482667967934035, -0.2574919206250844, -0.09465460620028363, -0.17050690977397942, 0.049572478494260344, -0.08938839033387545, -0.125912346156587, 0.3430245966588993, 0.12252984526995356, 0.20526178310700188, -0.04418123097777174, 0.2861612316263818, 0.11766615549527944, 0.09669351081810283, 0.11751444722076171, 0.3409680962220006, 0.1611286226684099, 0.10956970012703932, -0.23149225523898742, 0.12345185051886258, -0.016669231343843127] |
711.1844 | Magnetic and orbital ordering in the spinel MnV2O4 | Neutron inelastic scattering and diffraction techniques have been used to
study the MnV2O4 spinel system. Our measurements show the existence of two
transitions to long-range ordered ferrimagnetic states; the first collinear and
the second noncollinear. The lower temperature transition, characterized by
development of antiferromagnetic components in the basal plane, is accompanied
by a tetragonal distortion and the appearance of a gap in the magnetic
excitation spectrum. The low-temperature noncollinear magnetic structure has
been definitively resolved. Taken together, the crystal and magnetic structures
indicate a staggered ordering of the V d orbitals. The anisotropy gap is a
consequence of unquenched V orbital angular momentum.
| cond-mat.str-el | neutron inelastic scattering and diffraction techniques have been used to study the mnv2o4 spinel system our measurements show the existence of two transitions to longrange ordered ferrimagnetic states the first collinear and the second noncollinear the lower temperature transition characterized by development of antiferromagnetic components in the basal plane is accompanied by a tetragonal distortion and the appearance of a gap in the magnetic excitation spectrum the lowtemperature noncollinear magnetic structure has been definitively resolved taken together the crystal and magnetic structures indicate a staggered ordering of the v d orbitals the anisotropy gap is a consequence of unquenched v orbital angular momentum | [['neutron', 'inelastic', 'scattering', 'and', 'diffraction', 'techniques', 'have', 'been', 'used', 'to', 'study', 'the', 'mnv2o4', 'spinel', 'system', 'our', 'measurements', 'show', 'the', 'existence', 'of', 'two', 'transitions', 'to', 'longrange', 'ordered', 'ferrimagnetic', 'states', 'the', 'first', 'collinear', 'and', 'the', 'second', 'noncollinear', 'the', 'lower', 'temperature', 'transition', 'characterized', 'by', 'development', 'of', 'antiferromagnetic', 'components', 'in', 'the', 'basal', 'plane', 'is', 'accompanied', 'by', 'a', 'tetragonal', 'distortion', 'and', 'the', 'appearance', 'of', 'a', 'gap', 'in', 'the', 'magnetic', 'excitation', 'spectrum', 'the', 'lowtemperature', 'noncollinear', 'magnetic', 'structure', 'has', 'been', 'definitively', 'resolved', 'taken', 'together', 'the', 'crystal', 'and', 'magnetic', 'structures', 'indicate', 'a', 'staggered', 'ordering', 'of', 'the', 'v', 'd', 'orbitals', 'the', 'anisotropy', 'gap', 'is', 'a', 'consequence', 'of', 'unquenched', 'v', 'orbital', 'angular', 'momentum']] | [-0.22329069644628655, 0.2298882390955662, -0.05389055696820736, 0.032035526894123374, -0.07205740794611787, -0.035884865451133945, 0.06736634685024981, 0.40667387453423254, -0.26543835887359907, -0.2936583197341093, -0.00788590691088545, -0.32703025201425967, -0.06283617585680439, 0.09478637719248846, 0.1340320291341219, 0.01772838405975439, -0.009553930936923739, -0.0198028883648114, -0.12112722972643028, -0.17872934622884484, 0.30540795730047143, -0.010097532605444923, 0.2890824874754525, 0.08909216712147576, 0.04322959271539907, 0.016836688069409682, 0.12078575753308471, 0.028310566869320222, -0.15232625080145967, 0.04950272122531388, 0.24590836663377805, -0.07993066210163535, 0.13339589831184198, -0.4119738652144821, -0.2060146773668024, -0.016787034452630623, 0.1344577416456056, 0.11042237211271975, -0.05186556794825326, -0.29718882919659895, 0.02583255690242191, -0.1262733908189298, -0.13895791483358072, -0.14964446371638226, -0.01978389718072507, -0.014632595782123, -0.27005456398677496, 0.10296405241508218, 0.13241506791085872, 0.13195754254453826, -0.13757663175861523, -0.14917311646175363, -0.12315669094067681, 0.045099880989387775, 0.05951413281546743, 0.12226681688247198, 0.06502555912016954, -0.0643802669930082, -0.17346512138373354, 0.35967022693236766, -0.00938513222855778, -0.03605407805552761, 0.11883903453940327, -0.2488813104867501, -0.11328922312602727, 0.23861646598874076, 0.10299025173920649, 0.10439258912867568, -0.12259967853959415, 0.09350866682203576, 0.00370517845075686, 0.20089069620064162, 0.07570841567120651, 0.043284930167855354, 0.25457388006186893, 0.18902406452711926, 0.03963151753102192, 0.14835691825911693, -0.17514346565192823, -0.038768773872486666, -0.1849428383696788, -0.12764393501164553, -0.25065477081976867, 0.03491283152749744, -0.0668196244458035, -0.17708457612604336, 0.3633430399525079, 0.09076793910935521, 0.1913715138561228, -0.1363553169988168, 0.2624812075389025, 0.08210037230486864, 0.07655445947447448, 0.017692309217663137, 0.2738257737308108, 0.25457747010016835, 0.144372357833154, -0.3388463511932483, 0.0868345890103758, 0.009713069522228925] |
711.1845 | Branching properties for the groups G(de,e,r) | We study general properties of the restriction of the representations of the
finite complex reflection groups $G(de,e,r+1)$ to their maximal parabolic
subgroups of type $G(de,e,r)$, and focus notably on the multiplicity of
components. In combinatorial terms, this amounts to the following question :
which symmetries arise or disappear when one changes (exactly) one pearl in a
combinatorial necklace ?
| math.RT math.CO | we study general properties of the restriction of the representations of the finite complex reflection groups gdeer1 to their maximal parabolic subgroups of type gdeer and focus notably on the multiplicity of components in combinatorial terms this amounts to the following question which symmetries arise or disappear when one changes exactly one pearl in a combinatorial necklace | [['we', 'study', 'general', 'properties', 'of', 'the', 'restriction', 'of', 'the', 'representations', 'of', 'the', 'finite', 'complex', 'reflection', 'groups', 'gdeer1', 'to', 'their', 'maximal', 'parabolic', 'subgroups', 'of', 'type', 'gdeer', 'and', 'focus', 'notably', 'on', 'the', 'multiplicity', 'of', 'components', 'in', 'combinatorial', 'terms', 'this', 'amounts', 'to', 'the', 'following', 'question', 'which', 'symmetries', 'arise', 'or', 'disappear', 'when', 'one', 'changes', 'exactly', 'one', 'pearl', 'in', 'a', 'combinatorial', 'necklace']] | [-0.12701857502439193, 0.11269979543119137, -0.06728558328800968, 0.09837143509607163, -0.13206077924197807, -0.10206903627840802, 0.03484765216126107, 0.2965682605281472, -0.3568915070500225, -0.2608591452008113, 0.1252424767548551, -0.24394168831141932, -0.10935697331608805, 0.15774225508045805, -0.12458990598263751, -0.036843343766772056, 0.037975628461156576, 0.0858932783137009, -0.08794417024780289, -0.2688453750784642, 0.40596001162858947, -0.06899076722662098, 0.24764649515106743, 0.036229346097180884, 0.06244656095181459, 0.0632547203318349, -0.028500781976617873, 0.012252410690832351, -0.12321749900002033, 0.16416125552820762, 0.2547661064392222, 0.05253826391812514, 0.2171444236093001, -0.40571287873068024, -0.17563594603728103, 0.18512900562823884, 0.12265097052087574, 0.07685240643123896, 0.008970445219477239, -0.23873558657110802, 0.08123478679252523, -0.1364847476527627, -0.19528608787472226, 0.021942263190534765, 0.03621660477282213, 0.023059166315111464, -0.18052011774852872, 0.04909270309976169, 0.14992574284717972, 0.11013301042839885, -0.040515599955272465, -0.09289038137857071, -0.03350275058099734, 0.12115979336262431, 0.07558125395527375, -0.08963994969131558, 0.07476505682071936, -0.1650213346500615, -0.13524153366285777, 0.4181136038553502, 0.028817917016567662, -0.21595461096148938, 0.21137116711387144, -0.16291060890736325, -0.22648983894448196, 0.1284126698322195, 0.14622199601477145, 0.13890036382196871, -0.05814231901942029, 0.11548564371748528, -0.10951843882711339, 0.07644106805881686, 0.11532954918220639, 0.044760908013683674, 0.1370645486167632, 0.06889183396872665, 0.057317893547665984, 0.14710046282769845, 0.013932296860730276, -0.0690154415788129, -0.28357647790107876, -0.1559068671776913, -0.09391294737828762, 0.09414596306825322, -0.08777597637189112, -0.21488379155302287, 0.4626546899921128, 0.0724916034544419, 0.22057993856391736, 0.035992673400739604, 0.20467398254134292, 0.09969730706818934, 0.05607959152049651, 0.02252074774826594, 0.13765231277128415, 0.16834201251289674, 0.0039008944004308432, -0.23282500166845108, 0.031140232076203183, 0.12899767239910684] |
711.1846 | Optical design of reflectionless complex media by finite embedded
coordinate transformations | Transformation optics offers an unconventional approach to the control of
electromagnetic fields. A transformation optical structure is designed by first
applying a form-invariant coordinate transform to Maxwell's equations, in which
part of free space is distorted in some desired manner. The coordinate
transformation is then applied to the permittivity and permeability tensors to
yield the specification for a complex medium with desired functionality. The
transformation optical structures proposed to date, such as electromagnetic
"invisibility" cloaks and concentrators, are inherently reflectionless and
leave the transmitted wave undisturbed. Here we expand the class of
transformation optical structures by introducing finite, embedded coordinate
transformations, which allow the electromagnetic waves to be steered or
focused. We apply the method to the design of several devices, including a
parallel beam shifter and a beam splitter, both of which exhibit unusual
electromagnetic behavior as confirmed by 2D full-wave simulations. The devices
are designed to be reflectionless, in accordance with a straightforward
topological criterion.
| physics.optics | transformation optics offers an unconventional approach to the control of electromagnetic fields a transformation optical structure is designed by first applying a forminvariant coordinate transform to maxwells equations in which part of free space is distorted in some desired manner the coordinate transformation is then applied to the permittivity and permeability tensors to yield the specification for a complex medium with desired functionality the transformation optical structures proposed to date such as electromagnetic invisibility cloaks and concentrators are inherently reflectionless and leave the transmitted wave undisturbed here we expand the class of transformation optical structures by introducing finite embedded coordinate transformations which allow the electromagnetic waves to be steered or focused we apply the method to the design of several devices including a parallel beam shifter and a beam splitter both of which exhibit unusual electromagnetic behavior as confirmed by 2d fullwave simulations the devices are designed to be reflectionless in accordance with a straightforward topological criterion | [['transformation', 'optics', 'offers', 'an', 'unconventional', 'approach', 'to', 'the', 'control', 'of', 'electromagnetic', 'fields', 'a', 'transformation', 'optical', 'structure', 'is', 'designed', 'by', 'first', 'applying', 'a', 'forminvariant', 'coordinate', 'transform', 'to', 'maxwells', 'equations', 'in', 'which', 'part', 'of', 'free', 'space', 'is', 'distorted', 'in', 'some', 'desired', 'manner', 'the', 'coordinate', 'transformation', 'is', 'then', 'applied', 'to', 'the', 'permittivity', 'and', 'permeability', 'tensors', 'to', 'yield', 'the', 'specification', 'for', 'a', 'complex', 'medium', 'with', 'desired', 'functionality', 'the', 'transformation', 'optical', 'structures', 'proposed', 'to', 'date', 'such', 'as', 'electromagnetic', 'invisibility', 'cloaks', 'and', 'concentrators', 'are', 'inherently', 'reflectionless', 'and', 'leave', 'the', 'transmitted', 'wave', 'undisturbed', 'here', 'we', 'expand', 'the', 'class', 'of', 'transformation', 'optical', 'structures', 'by', 'introducing', 'finite', 'embedded', 'coordinate', 'transformations', 'which', 'allow', 'the', 'electromagnetic', 'waves', 'to', 'be', 'steered', 'or', 'focused', 'we', 'apply', 'the', 'method', 'to', 'the', 'design', 'of', 'several', 'devices', 'including', 'a', 'parallel', 'beam', 'shifter', 'and', 'a', 'beam', 'splitter', 'both', 'of', 'which', 'exhibit', 'unusual', 'electromagnetic', 'behavior', 'as', 'confirmed', 'by', '2d', 'fullwave', 'simulations', 'the', 'devices', 'are', 'designed', 'to', 'be', 'reflectionless', 'in', 'accordance', 'with', 'a', 'straightforward', 'topological', 'criterion']] | [-0.14966854829175077, 0.12185327149417835, -0.10548892405156972, -0.02236121621911242, -0.17081161217087773, -0.16272127967043098, -0.02421280761313503, 0.46180513351681124, -0.27985666865471065, -0.2741963492178471, 0.07568732642043667, -0.24279565160358502, -0.19661629749728948, 0.19452782945743033, 0.002481403291984728, 0.12504876405890486, -0.015413260158554763, -0.03115288787936661, -0.0876806377059525, -0.1653338709844656, 0.2729208709606841, 0.05748484909510727, 0.33178746184203656, -0.03372406721364256, 0.13280297940663488, 0.033692565834658385, 0.009836818574101718, 0.02902516177510635, -0.04987269963262377, 0.08051715090805606, 0.25327311726702245, 0.07993747404033902, 0.2060759357847036, -0.4553414031649661, -0.2268227986742262, 0.030999968560993862, 0.1395905238938085, 0.1315376712461625, -0.09978185812379145, -0.3196298017027153, 0.04032732181512057, -0.11705738584255906, -0.1670051875009252, -0.09854274117358171, -0.041404124120974044, 0.05035912260193686, -0.2546309028462222, -0.017712632450372443, 0.046419121871500685, 0.030000040088157365, -0.07759345727650134, -0.020558162022880307, 0.0050944048246950105, 0.06920700729008954, -0.017087582386081004, 0.013237245653750031, 0.1565649123049703, -0.09437684167271397, -0.0728038545982663, 0.4461689832721167, -0.0037206631557197326, -0.2595335834772344, 0.14408521478473665, -0.10582178270230723, -0.02596464954245432, 0.17909835365150054, 0.1857748004862932, 0.10027707725241305, -0.17407507942670625, 0.039307363736176285, -0.0013574292692526357, 0.15449525499241842, 0.10892691140383434, 0.06842542685580197, 0.20506092982520913, 0.11957713172349865, 0.04488780947511861, 0.17072148316622873, -0.022289262317821003, -0.02180119554933374, -0.2966093826048361, -0.16582182191525865, -0.1783795614156258, 0.04771099155381319, -0.030031457969734957, -0.19443368297485505, 0.39657434417160264, 0.14859870526121016, 0.13452786519221818, -0.010177791208343188, 0.31790801248910605, 0.12021895278405374, 0.11984846900679931, 0.03791309911223829, 0.27043814154932794, 0.16887790107043685, 0.1375588501720529, -0.20919232115529146, 0.0015468333557153203, 0.04015075310969808] |
711.1847 | Homology of tropical varieties | Given a closed subvariety of an algebraic torus, the associated tropical
variety is a polyhedral fan in the space of 1-parameter subgroups of the torus
which describes the behaviour of the subvariety at infinity. We show that the
link of the origin has only top rational homology if a genericity condition is
satisfied. Our result is obtained using work of Tevelev and Deligne's theory of
mixed Hodge structures.
| math.AG math.CO | given a closed subvariety of an algebraic torus the associated tropical variety is a polyhedral fan in the space of 1parameter subgroups of the torus which describes the behaviour of the subvariety at infinity we show that the link of the origin has only top rational homology if a genericity condition is satisfied our result is obtained using work of tevelev and delignes theory of mixed hodge structures | [['given', 'a', 'closed', 'subvariety', 'of', 'an', 'algebraic', 'torus', 'the', 'associated', 'tropical', 'variety', 'is', 'a', 'polyhedral', 'fan', 'in', 'the', 'space', 'of', '1parameter', 'subgroups', 'of', 'the', 'torus', 'which', 'describes', 'the', 'behaviour', 'of', 'the', 'subvariety', 'at', 'infinity', 'we', 'show', 'that', 'the', 'link', 'of', 'the', 'origin', 'has', 'only', 'top', 'rational', 'homology', 'if', 'a', 'genericity', 'condition', 'is', 'satisfied', 'our', 'result', 'is', 'obtained', 'using', 'work', 'of', 'tevelev', 'and', 'delignes', 'theory', 'of', 'mixed', 'hodge', 'structures']] | [-0.24037617386784405, 0.04034930298653575, -0.15496709088877061, 0.0625803246803116, -0.10635178445783608, -0.11108203873942223, 0.012148148809929434, 0.27684756636838703, -0.34232508809552253, -0.1767480194239932, 0.10778667232507895, -0.20374648432206252, -0.18118652656866127, 0.1969405031448011, -0.16722812441944637, -0.02522623221225598, 0.06494269298170419, 0.078748960267095, -0.06818273687146276, -0.2956504766445826, 0.4615660237545586, -0.028147148228633928, 0.22407046371303938, 0.07868424272986457, 0.13586074358745998, -0.01824114316910067, 0.023308873498428834, -0.009273918421326122, -0.14186424617914514, 0.15069349642897792, 0.2600699884043185, 0.10888775991385474, 0.1656545732916771, -0.3709771809277727, -0.16082145112373195, 0.16193276478717214, 0.10730455377522637, -0.004631917863769238, 0.013436284395592177, -0.2235676120240789, 0.11680270842386081, -0.14057880519505808, -0.2564204219893059, -0.0409177755115225, 0.026125137153191164, -0.011535949553089106, -0.21031011709505143, -0.04480828016119845, 0.10342138685176477, 0.17013770584290958, -0.06487293358590893, -0.07624416374978062, -0.11816643574617475, 0.05706113242023789, 0.011164517261717907, 0.08641536631073583, 0.10847974430276629, -0.10761414064943571, -0.10789505866191842, 0.38926164863411994, -0.05782943642150391, -0.23394790951929548, 0.1441822881152963, -0.18591202229864018, -0.17718914796269553, 0.18515142326599315, 0.05628543730606051, 0.16583173576851978, -0.018644993289319033, 0.2126679854691782, -0.19919224045759834, 0.06489470274006154, 0.09724180688328274, -0.0606715045253034, 0.15454933392431805, 0.14302782228846542, 0.06792502541451112, 0.1477032765841988, -0.01856368212525815, -0.06629828480757116, -0.39559386670589447, -0.19034203537739813, -0.1417204480179969, 0.1486327708356411, -0.13117010793490302, -0.21014340723837344, 0.4074660705005312, 0.011352034833501367, 0.19249905749936314, 0.1037515283036662, 0.21826102828387828, 0.06486847467535614, -0.0004247486700906473, 0.05356923211365938, 0.14695275392766824, 0.22529115374473965, -0.032382671919870466, -0.14848201560294805, 0.037735492340289056, 0.1983780329088297] |
711.1848 | A Coherent Nonlinear Optical Signal Induced by Electron Correlations | The correlated behavior of electrons determines the structure and optical
properties of molecules, semiconductor and other systems. Valuable information
on these correlations is provided by measuring the response to femtosecond
laser pulses, which probe the very short time period during which the excited
particles remain correlated. The interpretation of four-wave-mixing techniques,
commonly used to study the energy levels and dynamics of many-electron systems,
is complicated by many competing effects and overlapping resonances. Here we
propose a coherent optical technique, specifically designed to provide a
background-free probe for electronic correlations in many-electron systems. The
proposed signal pulse is generated only when the electrons are correlated,
which gives rise to an extraordinary sensitivity. The peak pattern in
two-dimensional plots, obtained by displaying the signal vs. two frequencies
conjugated to two pulse delays, provides a direct visualization and specific
signatures of the many-electron wavefunctions.
| cond-mat.mes-hall | the correlated behavior of electrons determines the structure and optical properties of molecules semiconductor and other systems valuable information on these correlations is provided by measuring the response to femtosecond laser pulses which probe the very short time period during which the excited particles remain correlated the interpretation of fourwavemixing techniques commonly used to study the energy levels and dynamics of manyelectron systems is complicated by many competing effects and overlapping resonances here we propose a coherent optical technique specifically designed to provide a backgroundfree probe for electronic correlations in manyelectron systems the proposed signal pulse is generated only when the electrons are correlated which gives rise to an extraordinary sensitivity the peak pattern in twodimensional plots obtained by displaying the signal vs two frequencies conjugated to two pulse delays provides a direct visualization and specific signatures of the manyelectron wavefunctions | [['the', 'correlated', 'behavior', 'of', 'electrons', 'determines', 'the', 'structure', 'and', 'optical', 'properties', 'of', 'molecules', 'semiconductor', 'and', 'other', 'systems', 'valuable', 'information', 'on', 'these', 'correlations', 'is', 'provided', 'by', 'measuring', 'the', 'response', 'to', 'femtosecond', 'laser', 'pulses', 'which', 'probe', 'the', 'very', 'short', 'time', 'period', 'during', 'which', 'the', 'excited', 'particles', 'remain', 'correlated', 'the', 'interpretation', 'of', 'fourwavemixing', 'techniques', 'commonly', 'used', 'to', 'study', 'the', 'energy', 'levels', 'and', 'dynamics', 'of', 'manyelectron', 'systems', 'is', 'complicated', 'by', 'many', 'competing', 'effects', 'and', 'overlapping', 'resonances', 'here', 'we', 'propose', 'a', 'coherent', 'optical', 'technique', 'specifically', 'designed', 'to', 'provide', 'a', 'backgroundfree', 'probe', 'for', 'electronic', 'correlations', 'in', 'manyelectron', 'systems', 'the', 'proposed', 'signal', 'pulse', 'is', 'generated', 'only', 'when', 'the', 'electrons', 'are', 'correlated', 'which', 'gives', 'rise', 'to', 'an', 'extraordinary', 'sensitivity', 'the', 'peak', 'pattern', 'in', 'twodimensional', 'plots', 'obtained', 'by', 'displaying', 'the', 'signal', 'vs', 'two', 'frequencies', 'conjugated', 'to', 'two', 'pulse', 'delays', 'provides', 'a', 'direct', 'visualization', 'and', 'specific', 'signatures', 'of', 'the', 'manyelectron', 'wavefunctions']] | [-0.14250585993137607, 0.1938945212776497, -0.08778123682734708, 0.10854144531041252, -0.015221631633289528, -0.1648028709014204, 0.021807387240019672, 0.4179863643086126, -0.26741078955695985, -0.31227762785786434, 0.022485006618782454, -0.29714087122417193, -0.120880377634118, 0.22635724744264116, 0.04437323688390724, 0.04889654851657279, 0.04265723390676451, -0.03954237010408398, -0.04537709466023172, -0.15346903143721427, 0.2552591946458193, 0.08640522691784493, 0.29417279385466205, 0.055577195282523514, 0.09131268620668953, 0.039714705636592726, -0.004219591958780198, -0.034067002527997006, -0.08936795897464803, 0.11406255487999911, 0.274848786032435, 0.04434844124269612, 0.2247489448818411, -0.4548279943591948, -0.216293335219363, 0.06081945395942592, 0.14304581434810237, 0.13952828496645026, -0.07110142763060062, -0.31532516971838176, -0.01689936878516319, -0.09708211493037694, -0.11075218707811854, -0.09414888777710656, 0.017213835341340685, 0.06248321297334124, -0.24862012611776393, 0.07263851601049198, 0.022460629096822747, 0.04400503431308143, -0.04678514970435327, -0.03419768276578146, -0.002485567710448241, 0.1056793187144262, 0.0023189281379302025, -0.001582942756903457, 0.15462917762194225, -0.11875224826157305, -0.11684108246860907, 0.39660763187030107, -0.06780142594848805, -0.14065850767016358, 0.22021458936683463, -0.1599193916603236, -0.0657638020595496, 0.2004102266076556, 0.16735951365665236, 0.1000041916177126, -0.17584588666248765, -0.012951599926512741, 0.03644406367324504, 0.22822188542402805, 0.05084410943553275, 0.16414867637427985, 0.2282636028397432, 0.1533076112531786, 0.016629362572975297, 0.13639537140715485, -0.12953504153646211, -0.06551020639512609, -0.1907357827212054, -0.10740116669908695, -0.18558387379062938, 0.032204899212002015, -0.01259344845776139, -0.14964697053589932, 0.4902752123191847, 0.11734646777236414, 0.1554959934693596, -0.05684043169401401, 0.29426147396088387, 0.14823506645369508, 0.022463914739807692, -0.015441657060506285, 0.2533196420615195, 0.14315540595425966, 0.08043688991774164, -0.2687489729439047, 0.06062807296633932, -0.010534583039396831] |
711.1849 | Maximal and minimal height distributions of fluctuating interfaces | We study numerically the maximal and minimal height distributions (MAHD,
MIHD) of the nonlinear interface growth equations of second and fourth order
and of related lattice models in two dimensions. MAHD and MIHD are different
due to the asymmetry of the local height distribution, so that, in each class,
the sign of the relevant nonlinear term determines which one of two universal
curves is the MAHD and the MIHD. The average maximal and minimal heights scale
as the average roughness, in contrast to Edwards-Wilkinson (EW) growth. All
extreme height distributions, including the EW ones, have tails that cannot be
fit by generalized Gumbel distributions.
| cond-mat.stat-mech | we study numerically the maximal and minimal height distributions mahd mihd of the nonlinear interface growth equations of second and fourth order and of related lattice models in two dimensions mahd and mihd are different due to the asymmetry of the local height distribution so that in each class the sign of the relevant nonlinear term determines which one of two universal curves is the mahd and the mihd the average maximal and minimal heights scale as the average roughness in contrast to edwardswilkinson ew growth all extreme height distributions including the ew ones have tails that cannot be fit by generalized gumbel distributions | [['we', 'study', 'numerically', 'the', 'maximal', 'and', 'minimal', 'height', 'distributions', 'mahd', 'mihd', 'of', 'the', 'nonlinear', 'interface', 'growth', 'equations', 'of', 'second', 'and', 'fourth', 'order', 'and', 'of', 'related', 'lattice', 'models', 'in', 'two', 'dimensions', 'mahd', 'and', 'mihd', 'are', 'different', 'due', 'to', 'the', 'asymmetry', 'of', 'the', 'local', 'height', 'distribution', 'so', 'that', 'in', 'each', 'class', 'the', 'sign', 'of', 'the', 'relevant', 'nonlinear', 'term', 'determines', 'which', 'one', 'of', 'two', 'universal', 'curves', 'is', 'the', 'mahd', 'and', 'the', 'mihd', 'the', 'average', 'maximal', 'and', 'minimal', 'heights', 'scale', 'as', 'the', 'average', 'roughness', 'in', 'contrast', 'to', 'edwardswilkinson', 'ew', 'growth', 'all', 'extreme', 'height', 'distributions', 'including', 'the', 'ew', 'ones', 'have', 'tails', 'that', 'can', 'not', 'be', 'fit', 'by', 'generalized', 'gumbel', 'distributions']] | [-0.08165003632505735, 0.1587699211779095, -0.07139171766383308, 0.12165741623445814, -0.027585121488109942, -0.12878001944073253, -0.03862758813691991, 0.3370026577707557, -0.2892647000916657, -0.2945978079523359, 0.09943344814237207, -0.2752647778019309, -0.097948991839907, 0.17520002213617167, -0.020141463833195823, 0.087614914358017, -0.044503677802692564, -0.0037042384346326193, -0.05753258220585329, -0.25264812423736743, 0.3497561742152486, 0.008746703582194945, 0.2858439444342539, 0.05711909870484046, 0.06532662683831794, -0.02908529597999794, -0.011660947313620931, 0.03138811483070077, -0.16036775301590317, 0.11138926469942644, 0.13817046205890837, 0.02988548031786368, 0.20457659948705917, -0.3496957735468944, -0.18548994062557106, 0.13712598550177757, 0.13473813242855526, 0.06877821336522522, 0.02834152043353589, -0.19508116679000004, 0.08322118222824343, -0.14176388443225907, -0.17773106701760774, 0.007822297211913836, 0.028208825380230944, 0.0866118139221466, -0.25477366610208435, 0.11960330749196665, 0.06094283275084481, 0.05159617545349257, -0.03725401402584144, -0.11198011155994166, -0.09330147475536381, 0.10882991895611797, 0.08524312101570623, -0.02347707721582126, 0.08926783521171837, -0.16369768152279512, -0.10874702092260122, 0.3651143153175889, -0.09261585829358193, -0.19228334157461566, 0.1563697033051756, -0.21117704692961914, -0.0733579435474461, 0.1347940142820811, 0.17220167725879168, 0.11114055960483495, -0.12868674587724463, 0.10117010702046432, -0.03298509089453589, 0.15114782519993328, 0.10772918407760915, 0.0008585518935606593, 0.16009664531974566, 0.07570833964273334, 0.07020685407776563, 0.11193722824433021, -0.10307006389789639, -0.13636809240062056, -0.343940128882726, -0.13166496052096288, -0.13982618884072595, 0.013687641167087436, -0.14734404352188687, -0.17806639778538652, 0.42091618203336284, 0.13208422101812348, 0.24462626140032495, 0.08549251656291917, 0.1973027712000268, 0.16089751250664924, 0.09904103948335563, 0.07521776684249441, 0.18954580488304298, 0.11243089734842734, 0.042693556738751276, -0.23780039651568846, 0.11828877446906907, 0.07462044366236244] |
711.185 | On the mu-bar invariant of rational surface singularities | We show that for rational surface singularities with odd determinant the
mu-bar invariant defined by W. Neumann is an obstruction for the link of the
singularity to bound a rational homology 4-ball. We identify the mu-bar
invariant with the corresponding correction term in Heegaard Floer theory.
| math.GT | we show that for rational surface singularities with odd determinant the mubar invariant defined by w neumann is an obstruction for the link of the singularity to bound a rational homology 4ball we identify the mubar invariant with the corresponding correction term in heegaard floer theory | [['we', 'show', 'that', 'for', 'rational', 'surface', 'singularities', 'with', 'odd', 'determinant', 'the', 'mubar', 'invariant', 'defined', 'by', 'w', 'neumann', 'is', 'an', 'obstruction', 'for', 'the', 'link', 'of', 'the', 'singularity', 'to', 'bound', 'a', 'rational', 'homology', '4ball', 'we', 'identify', 'the', 'mubar', 'invariant', 'with', 'the', 'corresponding', 'correction', 'term', 'in', 'heegaard', 'floer', 'theory']] | [-0.25441553896171565, 0.07591576631334053, -0.1385113391417848, 0.15760547976748532, -0.04353798951184296, -0.23586163954282907, -0.03647183070374329, 0.2671117072307464, -0.3067787053954342, -0.2713260659138146, 0.04614573169206067, -0.28317270286219276, -0.18389155914116165, 0.10506975348107517, -0.15109298647502842, 0.04486285393004832, 0.05077568260426431, 0.10293569281170874, -0.13877032429445535, -0.24488144163447229, 0.4600850551125958, -0.023897738560386326, 0.13545948993819562, 0.19239204277729857, 0.10996926736855961, -0.027891768567749987, -0.009107976099071295, -0.04735252485387837, -0.2810835050598974, 0.08854316410851544, 0.30183748548607464, -0.04636038596863332, 0.11227684606717009, -0.32684543554711604, -0.10700887308010588, 0.16152006270282943, 0.11815302839259738, -0.002078108904559327, 0.01740801962011534, -0.2687329396848445, 0.14098265121245515, -0.1825083987787366, -0.19173897396894576, -0.029373218042209097, 0.03826532371180213, -0.048140957951545715, -0.20250540246944065, 0.01261613517999649, 0.05540855392894667, 0.14801616820952165, -0.021755964819179928, -0.08521261598671907, -0.0869649261965052, 0.0969880022837416, 0.030328972999047, 0.14671939675210285, 0.09410505116228825, -0.12346983520800005, -0.1079034912602409, 0.3190110144407853, -0.16286992016450866, -0.2920456855031459, 0.06455100870326809, -0.10986989269883413, -0.16972092334079839, 0.21522561849459357, -0.01569535016365673, 0.12488326381729997, 0.009310258471447489, 0.19480908305748648, -0.054006165014984814, 0.07930532755816112, 0.11638718331232667, -0.04902343507653669, 0.15154928244326427, -0.005934486023919738, 0.14639270376495045, 0.1400725198302256, -0.05418572961555227, -0.0688713069235825, -0.35687045024141023, -0.2601106659592757, -0.13999024535650792, 0.16121397828480796, -0.09810423110004353, -0.222725259585549, 0.36091334708844836, -0.00040613459018261534, 0.17749852802523453, 0.18354429675104178, 0.2564363135834751, 0.09697225114897541, 0.07367561121835657, 0.05887128687185316, 0.14780938722517178, 0.17800688598325234, -0.04593473442060792, -0.20596429957684292, -0.05827704202586218, 0.2934539794071537] |
711.1851 | The Effros-Ruan conjecture for bilinear forms on C^*-algebras | In 1991 Effros and Ruan conjectured that a certain Grothendieck-type
inequality for a bilinear form on C$^*$-algebras holds if (and only if) the
bilinear form is jointly completely bounded. In 2002 Pisier and Shlyakhtenko
proved that this inequality holds in the more general setting of operator
spaces, provided that the operator spaces in question are exact. Moreover, they
proved that the conjecture of Effros and Ruan holds for pairs of
C$^*$-algebras, of which at least one is exact. In this paper we prove that the
Effros-Ruan conjecture holds for general C$^*$-algebras, with constant one.
More precisely, we show that for every jointly completely bounded (for short,
j.c.b.) bilinear form on a pair of C$^*$-algebras $A$ and $B$, there exist
states $f_1$, $f_2$ on $A$ and $g_1$, $g_2$ on $B$ such that for all $a\in A$
and $b\in B$,
|u(a, b)| \leq ||u||_{jcb}(f_1(aa^*)^{1/2}g_1(b^*b)^{1/2} +
f_2(a^*a)^{1/2}g_2(bb^*)^{1/2}) .
While the approach by Pisier and Shlyakhtenko relies on free probability
techniques, our proof uses more classical operator algebra theory, namely,
Tomita-Takesaki theory and special properties of the Powers factors of type
III$_\lambda$, $0< \lambda< 1$ .
| math.OA math.FA | in 1991 effros and ruan conjectured that a certain grothendiecktype inequality for a bilinear form on calgebras holds if and only if the bilinear form is jointly completely bounded in 2002 pisier and shlyakhtenko proved that this inequality holds in the more general setting of operator spaces provided that the operator spaces in question are exact moreover they proved that the conjecture of effros and ruan holds for pairs of calgebras of which at least one is exact in this paper we prove that the effrosruan conjecture holds for general calgebras with constant one more precisely we show that for every jointly completely bounded for short jcb bilinear form on a pair of calgebras a and b there exist states f_1 f_2 on a and g_1 g_2 on b such that for all ain a and bin b ua b leq u_jcbf_1aa12g_1bb12 f_2aa12g_2bb12 while the approach by pisier and shlyakhtenko relies on free probability techniques our proof uses more classical operator algebra theory namely tomitatakesaki theory and special properties of the powers factors of type iii_lambda 0 lambda 1 | [['in', '1991', 'effros', 'and', 'ruan', 'conjectured', 'that', 'a', 'certain', 'grothendiecktype', 'inequality', 'for', 'a', 'bilinear', 'form', 'on', 'calgebras', 'holds', 'if', 'and', 'only', 'if', 'the', 'bilinear', 'form', 'is', 'jointly', 'completely', 'bounded', 'in', '2002', 'pisier', 'and', 'shlyakhtenko', 'proved', 'that', 'this', 'inequality', 'holds', 'in', 'the', 'more', 'general', 'setting', 'of', 'operator', 'spaces', 'provided', 'that', 'the', 'operator', 'spaces', 'in', 'question', 'are', 'exact', 'moreover', 'they', 'proved', 'that', 'the', 'conjecture', 'of', 'effros', 'and', 'ruan', 'holds', 'for', 'pairs', 'of', 'calgebras', 'of', 'which', 'at', 'least', 'one', 'is', 'exact', 'in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'effrosruan', 'conjecture', 'holds', 'for', 'general', 'calgebras', 'with', 'constant', 'one', 'more', 'precisely', 'we', 'show', 'that', 'for', 'every', 'jointly', 'completely', 'bounded', 'for', 'short', 'jcb', 'bilinear', 'form', 'on', 'a', 'pair', 'of', 'calgebras', 'a', 'and', 'b', 'there', 'exist', 'states', 'f_1', 'f_2', 'on', 'a', 'and', 'g_1', 'g_2', 'on', 'b', 'such', 'that', 'for', 'all', 'ain', 'a', 'and', 'bin', 'b', 'ua', 'b', 'leq', 'u_jcbf_1aa12g_1bb12', 'f_2aa12g_2bb12', 'while', 'the', 'approach', 'by', 'pisier', 'and', 'shlyakhtenko', 'relies', 'on', 'free', 'probability', 'techniques', 'our', 'proof', 'uses', 'more', 'classical', 'operator', 'algebra', 'theory', 'namely', 'tomitatakesaki', 'theory', 'and', 'special', 'properties', 'of', 'the', 'powers', 'factors', 'of', 'type', 'iii_lambda', '0', 'lambda', '1']] | [-0.13508541137578764, 0.1066328143168773, -0.06274100635732924, 0.08992221883631178, -0.044746737561321685, -0.20427692457501379, 0.021578074767520387, 0.34559572939361843, -0.2882867750964527, -0.17358125914952585, 0.08951599651947617, -0.2751995830118124, -0.14849681763693556, 0.22665931347757579, -0.10384062741750053, -0.003296713280890669, 0.06931473329663276, 0.08734738090208599, -0.07727070575513478, -0.28644774225141323, 0.3980009015755994, -0.08722023406465139, 0.2060294115004529, 0.11042975868497576, 0.11180205932419215, 0.0669016608223319, 0.022420586057539497, -0.003041545743388789, -0.15322770472096245, 0.12963063174060413, 0.2571312619878777, 0.14862761164948876, 0.2820676857658795, -0.3389544594412603, -0.13359757780230472, 0.1650540070475212, 0.09091348096329187, -0.026047137363015543, -0.038886765983271676, -0.264858409882124, 0.1502013379894197, -0.15947903529075638, -0.1079899751261941, -0.09539357721007297, 0.11264561386280028, -0.01766589431790635, -0.3513347227232797, 0.07685732769114631, 0.17544706273291794, 0.03684831326428269, -0.06552742781782789, -0.11973850222969694, -0.029048788933016892, 0.0765599215223587, -0.028156009410075577, 0.07457022111596806, 0.018293918998845454, -0.06706634196452796, -0.11793688792735338, 0.32522789575026506, -0.04430941359273025, -0.20798324043197292, 0.12203422215368066, -0.18432957518446658, -0.21977860693420684, 0.01962415604785617, 0.051723477861710956, 0.16696799262293746, -0.06726476173847913, 0.21046008698076807, -0.15193513704530362, 0.10593575691538197, 0.13670006301520127, 0.021729465705242805, 0.0492848895237382, 0.03247701945049422, 0.11968996281602554, 0.07865290509536862, 0.07394292712876839, -0.01234718753490597, -0.3278939849271306, -0.15860640039002258, -0.16319336966811013, 0.13566322147180992, -0.08236313851209291, -0.12537088025361298, 0.335285588584042, 0.06416041192299288, 0.1571850478569312, 0.11743683077727578, 0.20435249732009003, 0.0917423135926947, 0.024620896029685226, 0.13408502682777387, 0.1818593024974689, 0.21941359846054442, 0.04124456730671227, -0.10638098137353413, 0.006854642113404615, 0.1922313346665552] |
711.1852 | On Perturbations of Quasiperiodic Schroedinger Operators | Using relative oscillation theory and the reducibility result of Eliasson, we
study perturbations of quasiperiodic Schroedinger operators. In particular, we
derive relative oscillation criteria and eigenvalue asymptotics for critical
potentials.
| math.SP math-ph math.MP | using relative oscillation theory and the reducibility result of eliasson we study perturbations of quasiperiodic schroedinger operators in particular we derive relative oscillation criteria and eigenvalue asymptotics for critical potentials | [['using', 'relative', 'oscillation', 'theory', 'and', 'the', 'reducibility', 'result', 'of', 'eliasson', 'we', 'study', 'perturbations', 'of', 'quasiperiodic', 'schroedinger', 'operators', 'in', 'particular', 'we', 'derive', 'relative', 'oscillation', 'criteria', 'and', 'eigenvalue', 'asymptotics', 'for', 'critical', 'potentials']] | [-0.16763588157482445, 0.08830418782308698, -0.08514026657988628, 0.15037829373031855, -0.020509000751189888, -0.11473368120690187, 0.0632384197281984, 0.2714508563280106, -0.20348133959341794, -0.22904794638355572, 0.1174654968509761, -0.30261661286155384, -0.20868708543857792, 0.18208595828618854, -0.04265648070722818, 0.12138742748647928, 0.068251121789217, 0.0271310539295276, -0.0869242289258788, -0.15492043687651555, 0.38630730672739444, 0.010305769524226587, 0.2403351026897629, 0.02988515477627516, 0.0033674309961497784, -0.0010173419956117868, -0.04021223435799281, -0.04864704228627185, -0.2596157814220836, 0.10016552992165088, 0.1800233484027558, 0.07250838975111644, 0.21756910383701325, -0.37046272357304894, -0.14002110790461303, 0.18732524019045135, 0.13888069589932758, 0.15289754426727692, 0.016147708954910436, -0.3263556501517693, 0.030001175589859486, -0.13100926108115044, -0.2256980669995149, -0.1422188711663087, 0.07439318976054589, 0.08596598443109542, -0.2831669233739376, 0.1895134892159452, 0.05464493769929201, 0.11149595805133382, -0.17563839455445607, -0.05552116950663428, 0.01870079313715299, 0.06399163228149216, 0.060268822498619555, -0.0607523099752143, 0.05473849379147092, -0.07111271396279335, -0.11787846498191357, 0.34142014135917026, -0.15997048430144786, -0.17517892823865017, 0.11508059656868379, -0.21126625624795756, -0.1469145696144551, -0.02676904962087671, 0.18276310116052627, 0.12129350574687123, -0.10297647000600894, 0.15054317836572106, -0.0022309166379272938, 0.08842888735234737, 0.1978687950099508, 0.06796408463269472, 0.09088155180215836, 0.08871731972321868, 0.11490299704795083, 0.13262338961164158, -0.02426099336395661, -0.06426175256880622, -0.36776732628544173, -0.04615182336419821, -0.1269598569100102, 0.08492291709408165, -0.09636561750958209, -0.21588163822889328, 0.4972085834170381, 0.15299177044071258, 0.15523301071176926, 0.07210119565327962, 0.1462661096205314, 0.2361681296179692, -0.034685411573082095, 0.03486629237110416, 0.2509357458601395, 0.28490991579989594, 0.10048887052883705, -0.2693674289621413, -0.10033793620144328, 0.2106932713650167] |
711.1853 | Forbidden ordinal patterns in higher dimensional dynamics | Forbidden ordinal patterns are ordinal patterns (or `rank blocks') that
cannot appear in the orbits generated by a map taking values on a linearly
ordered space, in which case we say that the map has forbidden patterns. Once a
map has a forbidden pattern of a given length $L_{0}$, it has forbidden
patterns of any length $L\ge L_{0}$ and their number grows superexponentially
with $L$. Using recent results on topological permutation entropy, we study in
this paper the existence and some basic properties of forbidden ordinal
patterns for self maps on n-dimensional intervals. Our most applicable
conclusion is that expansive interval maps with finite topological entropy have
necessarily forbidden patterns, although we conjecture that this is also the
case under more general conditions. The theoretical results are nicely
illustrated for n=2 both using the naive counting estimator for forbidden
patterns and Chao's estimator for the number of classes in a population. The
robustness of forbidden ordinal patterns against observational white noise is
also illustrated.
| nlin.CD | forbidden ordinal patterns are ordinal patterns or rank blocks that cannot appear in the orbits generated by a map taking values on a linearly ordered space in which case we say that the map has forbidden patterns once a map has a forbidden pattern of a given length l_0 it has forbidden patterns of any length lge l_0 and their number grows superexponentially with l using recent results on topological permutation entropy we study in this paper the existence and some basic properties of forbidden ordinal patterns for self maps on ndimensional intervals our most applicable conclusion is that expansive interval maps with finite topological entropy have necessarily forbidden patterns although we conjecture that this is also the case under more general conditions the theoretical results are nicely illustrated for n2 both using the naive counting estimator for forbidden patterns and chaos estimator for the number of classes in a population the robustness of forbidden ordinal patterns against observational white noise is also illustrated | [['forbidden', 'ordinal', 'patterns', 'are', 'ordinal', 'patterns', 'or', 'rank', 'blocks', 'that', 'can', 'not', 'appear', 'in', 'the', 'orbits', 'generated', 'by', 'a', 'map', 'taking', 'values', 'on', 'a', 'linearly', 'ordered', 'space', 'in', 'which', 'case', 'we', 'say', 'that', 'the', 'map', 'has', 'forbidden', 'patterns', 'once', 'a', 'map', 'has', 'a', 'forbidden', 'pattern', 'of', 'a', 'given', 'length', 'l_0', 'it', 'has', 'forbidden', 'patterns', 'of', 'any', 'length', 'lge', 'l_0', 'and', 'their', 'number', 'grows', 'superexponentially', 'with', 'l', 'using', 'recent', 'results', 'on', 'topological', 'permutation', 'entropy', 'we', 'study', 'in', 'this', 'paper', 'the', 'existence', 'and', 'some', 'basic', 'properties', 'of', 'forbidden', 'ordinal', 'patterns', 'for', 'self', 'maps', 'on', 'ndimensional', 'intervals', 'our', 'most', 'applicable', 'conclusion', 'is', 'that', 'expansive', 'interval', 'maps', 'with', 'finite', 'topological', 'entropy', 'have', 'necessarily', 'forbidden', 'patterns', 'although', 'we', 'conjecture', 'that', 'this', 'is', 'also', 'the', 'case', 'under', 'more', 'general', 'conditions', 'the', 'theoretical', 'results', 'are', 'nicely', 'illustrated', 'for', 'n2', 'both', 'using', 'the', 'naive', 'counting', 'estimator', 'for', 'forbidden', 'patterns', 'and', 'chaos', 'estimator', 'for', 'the', 'number', 'of', 'classes', 'in', 'a', 'population', 'the', 'robustness', 'of', 'forbidden', 'ordinal', 'patterns', 'against', 'observational', 'white', 'noise', 'is', 'also', 'illustrated']] | [-0.1392569024062885, 0.19615758541463452, -0.06371154141132579, 0.09875018576964398, -0.04893368967794672, -0.1279511195974368, 0.07010715544633003, 0.3893139772681576, -0.253807945660259, -0.21302546517637727, 0.11372140985066918, -0.30647610420728044, -0.17113786504258205, 0.19077164370877048, -0.07567345969604723, 0.045600002953362875, 0.05040485744900776, 0.05375087008367039, -0.03759050215453361, -0.2458400075253325, 0.3310825306019097, -0.006275569009735729, 0.26058987539833073, 0.0002323520154635789, 0.03555523604719025, 0.005116073770984782, -0.03169345559382981, 0.10239210328295348, -0.14096512748298912, 0.09603839536959474, 0.24946706911097422, 0.1758143819783899, 0.21989711389002023, -0.36096971213366047, -0.22549264865899177, 0.16020662108379782, 0.1374727914448489, 0.08709957692472292, -0.038257658501794196, -0.270655285846442, 0.15461865945182968, -0.11215826509463968, -0.10075093199583617, -0.07132583218203349, 0.08366306228774854, -0.00863860091617839, -0.27969537289190516, 0.052767706789062216, 0.13138673345022128, 0.11658468587521577, -0.023009406748425328, -0.08476030186425443, -0.03273493906511276, 0.0901126037930336, 0.050108346626670526, -0.01691272565389447, 0.07659747973084449, -0.06770208270260782, -0.1363174489219532, 0.354919945378435, -0.05097958840514449, -0.22540639812253754, 0.17910841002947453, -0.16794653003188698, -0.16259134846852358, 0.1581329257340368, 0.08905194236290162, 0.13548414167034384, -0.07743895765337529, 0.1222572697767508, -0.1302912931924573, 0.17967738610776987, 0.11042586367464427, 0.04126734555395546, 0.17543075465117441, 0.12286195211239498, 0.1070268341805786, 0.15681567034881674, -0.054077071652775914, -0.06339097210968082, -0.3250998063859614, -0.07316251859407533, -0.1485524000176652, 0.007173521440056378, -0.10842867691085716, -0.18852056954056023, 0.40018091022220414, 0.12256097178623983, 0.22891802161819105, 0.09485684322884702, 0.2437746922513752, 0.11281011085745625, 0.04967355248236069, 0.059225538940253585, 0.12664428828372337, 0.1288912967552967, -0.0012348491275175051, -0.17077678786449585, 0.10236630864250897, 0.0889348465949297] |
711.1854 | An Estimate of the Partial Width for X(3872) into p p-bar | We present an estimate of the partial width of X(3872) into p p-bar under the
assumption that it is a weakly-bound hadronic molecule whose constituents are a
superposition of the charm mesons D^{*0} D-bar^0 and D^{0} D-bar^{*0}. The p
p-bar partial width of X is therefore related to the cross section for p p-bar
to D^{*0} D-bar^0 near the threshold. That cross section at an energy well
above the threshold is estimated by scaling the measured cross section for p
p-bar to K^{*-} K^+. It is extrapolated to the D^{*0} D-bar^0 threshold by
taking into account the threshold resonance in the 1^{++} channel. The
resulting prediction for the p p-bar partial width of X(3872) is proportional
to the square root of its binding energy. For the current central value of the
binding energy, the estimated partial width into p p-bar is comparable to that
of the P-wave charmonium state chi_{c1}.
| hep-ph | we present an estimate of the partial width of x3872 into p pbar under the assumption that it is a weaklybound hadronic molecule whose constituents are a superposition of the charm mesons d0 dbar0 and d0 dbar0 the p pbar partial width of x is therefore related to the cross section for p pbar to d0 dbar0 near the threshold that cross section at an energy well above the threshold is estimated by scaling the measured cross section for p pbar to k k it is extrapolated to the d0 dbar0 threshold by taking into account the threshold resonance in the 1 channel the resulting prediction for the p pbar partial width of x3872 is proportional to the square root of its binding energy for the current central value of the binding energy the estimated partial width into p pbar is comparable to that of the pwave charmonium state chi_c1 | [['we', 'present', 'an', 'estimate', 'of', 'the', 'partial', 'width', 'of', 'x3872', 'into', 'p', 'pbar', 'under', 'the', 'assumption', 'that', 'it', 'is', 'a', 'weaklybound', 'hadronic', 'molecule', 'whose', 'constituents', 'are', 'a', 'superposition', 'of', 'the', 'charm', 'mesons', 'd0', 'dbar0', 'and', 'd0', 'dbar0', 'the', 'p', 'pbar', 'partial', 'width', 'of', 'x', 'is', 'therefore', 'related', 'to', 'the', 'cross', 'section', 'for', 'p', 'pbar', 'to', 'd0', 'dbar0', 'near', 'the', 'threshold', 'that', 'cross', 'section', 'at', 'an', 'energy', 'well', 'above', 'the', 'threshold', 'is', 'estimated', 'by', 'scaling', 'the', 'measured', 'cross', 'section', 'for', 'p', 'pbar', 'to', 'k', 'k', 'it', 'is', 'extrapolated', 'to', 'the', 'd0', 'dbar0', 'threshold', 'by', 'taking', 'into', 'account', 'the', 'threshold', 'resonance', 'in', 'the', '1', 'channel', 'the', 'resulting', 'prediction', 'for', 'the', 'p', 'pbar', 'partial', 'width', 'of', 'x3872', 'is', 'proportional', 'to', 'the', 'square', 'root', 'of', 'its', 'binding', 'energy', 'for', 'the', 'current', 'central', 'value', 'of', 'the', 'binding', 'energy', 'the', 'estimated', 'partial', 'width', 'into', 'p', 'pbar', 'is', 'comparable', 'to', 'that', 'of', 'the', 'pwave', 'charmonium', 'state', 'chi_c1']] | [-0.09126215148717165, 0.19228119304888727, -0.0748464241825665, 0.10988830542657524, -0.011615323508158326, -0.12183905779384077, 0.08438499070315932, 0.27654992473622164, -0.24440361570566893, -0.22928329006147882, -0.08387890939988817, -0.3898096642519037, 0.06081979085342027, 0.09466600001479189, 0.10429979377115767, 0.14468571376637557, 0.07960526034235954, 0.1379672830365598, -0.012339272112585604, -0.18034054443240166, 0.3014973689119021, 0.016956437636787693, 0.19828967977470408, 0.2093078261858318, -0.006327879776557286, 0.04364173157606274, 0.056489916884650784, -0.06772886268794537, -0.2106792240581611, 0.03799163778622945, 0.2841880338941701, 0.09061430871797105, 0.1341353922088941, -0.31478388860821727, -0.061229438949376346, 0.15002741863951086, 0.15112207779971262, 0.042936486455922324, 0.07332870363267527, -0.33404620139859614, 0.22647755560154717, -0.15994358804853012, -0.11351718076815208, 0.00680270874251922, 0.1202669683098793, -0.08299008042862017, -0.3335799840061615, 0.07885038750867049, 0.013003456097794696, 0.036218417584896086, -0.058689699347596616, -0.3004409129234652, -0.06614859188751628, -0.0008208785578608513, 0.06919453379542877, 0.12744518876386185, 0.19785298170677076, -0.12697873212086658, -0.12745494171977043, 0.37121675287683803, -0.035727984607219695, -0.1693009989662096, 0.08248431623952153, -0.18894401128093402, -0.04032687774083266, 0.27689370305122185, 0.20497793366511663, 0.016810592693897584, -0.13887091923194628, 0.11525214164168573, -0.05192595445240537, 0.22325487298270066, 0.11869370674404005, 0.01848025429683427, 0.12201415983960033, 0.1927279448392801, 0.02925638254421453, 0.0501275093969889, -0.1448177570477128, -0.03750666290521622, -0.41878497516115504, -0.1280531555910905, -0.10316338883712887, 0.11546094061496358, 0.0071064104133013945, -0.07047784273978323, 0.30763937735309205, -0.007630323533279201, 0.3537567683495581, -0.0019863592212398845, 0.29615566212683914, 0.19554446380585433, 0.025276646896575886, 0.06533050933852792, 0.266256276567777, 0.22609981306207677, 0.08267934012537201, -0.33295346771056455, 0.08417594361817464, 0.022213621443758408] |
711.1855 | Theory of electric polarization induced by inhomogeneity in crystals | We develop a general theory of electric polarization induced by inhomogeneity
in crystals. We show that contributions to polarization can be classified in
powers of the gradient of the order parameter. The zeroth order contribution
reduces to the well-known result obtained by King-Smith and Vanderbilt for
uniform systems. The first order contribution, when expressed in a two-point
formula, takes the Chern-Simons 3-form of the vector potentials derived from
the Bloch wave functions. Using the relation between polarization and charge
density, we demonstrate our formula by studying charge fractionalization in a
two-dimensional dimer model recently proposed.
| cond-mat.mes-hall cond-mat.str-el | we develop a general theory of electric polarization induced by inhomogeneity in crystals we show that contributions to polarization can be classified in powers of the gradient of the order parameter the zeroth order contribution reduces to the wellknown result obtained by kingsmith and vanderbilt for uniform systems the first order contribution when expressed in a twopoint formula takes the chernsimons 3form of the vector potentials derived from the bloch wave functions using the relation between polarization and charge density we demonstrate our formula by studying charge fractionalization in a twodimensional dimer model recently proposed | [['we', 'develop', 'a', 'general', 'theory', 'of', 'electric', 'polarization', 'induced', 'by', 'inhomogeneity', 'in', 'crystals', 'we', 'show', 'that', 'contributions', 'to', 'polarization', 'can', 'be', 'classified', 'in', 'powers', 'of', 'the', 'gradient', 'of', 'the', 'order', 'parameter', 'the', 'zeroth', 'order', 'contribution', 'reduces', 'to', 'the', 'wellknown', 'result', 'obtained', 'by', 'kingsmith', 'and', 'vanderbilt', 'for', 'uniform', 'systems', 'the', 'first', 'order', 'contribution', 'when', 'expressed', 'in', 'a', 'twopoint', 'formula', 'takes', 'the', 'chernsimons', '3form', 'of', 'the', 'vector', 'potentials', 'derived', 'from', 'the', 'bloch', 'wave', 'functions', 'using', 'the', 'relation', 'between', 'polarization', 'and', 'charge', 'density', 'we', 'demonstrate', 'our', 'formula', 'by', 'studying', 'charge', 'fractionalization', 'in', 'a', 'twodimensional', 'dimer', 'model', 'recently', 'proposed']] | [-0.1512197159524811, 0.12466427540210517, -0.05377516958274339, 0.04589262894893947, -0.030971597115460194, -0.05214854355803446, 0.02320587314836877, 0.3062315326184034, -0.2442901527950246, -0.2893358277083424, -0.013714530367992426, -0.26042862307084236, -0.19106298894866516, 0.1512180593820583, 0.014096189064807014, 0.012379953191664659, -0.06596296621045392, -0.007990140644343276, -0.09539502968668545, -0.20433105155825615, 0.3260501217636231, 0.002025157085766918, 0.29799101235050907, 0.08441538733283156, 0.09750932241961556, 0.03524762165095461, -0.007451265913091208, 0.06089636034479267, -0.12705552108182977, 0.1181172391595809, 0.21970492984462334, 0.03087662039814811, 0.1741313266616903, -0.42845187779319915, -0.21229847312757844, 0.05393174709752202, 0.10360125406204086, 0.1557388447629484, -0.03198909957550074, -0.29492548698265303, 0.063489756507701, -0.20010111527762522, -0.15767359142436793, -0.11673378481676704, 0.019480317855547918, 0.023962761959257093, -0.2991086219657997, 0.12180643994116078, 0.0677959244698286, 0.0006498252286722785, -0.09813909840917116, -0.11183286280199689, -0.06355278239781527, 0.08687895348105629, 0.06099136838272802, 0.07681782082409451, 0.08027824533515071, -0.14112404304262446, -0.13946419624905837, 0.3710069338876852, -0.13715509422687128, -0.22088924861071926, 0.06794374296686759, -0.19024045834513872, -0.08905836709431912, 0.11198543578778443, 0.1351520332801891, 0.1389496533595344, -0.11220514575267627, 0.10983040227285146, 0.005356449740601851, 0.15112988633030144, 0.07176370321723975, 0.008227041660881552, 0.20656246165499875, 0.07053171285722208, 0.041368605274903145, 0.19461381044606432, -0.08736136783600638, -0.07735122271666402, -0.3161548012904333, -0.15328770573005865, -0.22504357262269448, 0.06359561147508334, -0.0859965140340041, -0.11781706594322858, 0.4232799264945482, 0.12725100312872153, 0.1661037940924105, 0.022660960725165512, 0.27669208788950195, 0.2061624498400641, 0.07422176287754585, 0.03042753259896448, 0.24792538914572154, 0.1977934340676783, 0.07952765461645628, -0.2443999599248759, 0.00130819329305699, 0.14355408937768324] |
711.1856 | Testing Kak's Conjecture on Binary Reciprocal of Primes and
Cryptographic Applications | This note considers reciprocal of primes in binary representation and shows
that the conjecture that 0s exceed 1s in most cases continues to hold for
primes less one million. The conjecture has also been tested for ternary
representation with similar results. Some applications of this result to
cryptography are discussed.
| cs.CR | this note considers reciprocal of primes in binary representation and shows that the conjecture that 0s exceed 1s in most cases continues to hold for primes less one million the conjecture has also been tested for ternary representation with similar results some applications of this result to cryptography are discussed | [['this', 'note', 'considers', 'reciprocal', 'of', 'primes', 'in', 'binary', 'representation', 'and', 'shows', 'that', 'the', 'conjecture', 'that', '0s', 'exceed', '1s', 'in', 'most', 'cases', 'continues', 'to', 'hold', 'for', 'primes', 'less', 'one', 'million', 'the', 'conjecture', 'has', 'also', 'been', 'tested', 'for', 'ternary', 'representation', 'with', 'similar', 'results', 'some', 'applications', 'of', 'this', 'result', 'to', 'cryptography', 'are', 'discussed']] | [-0.13079369632527232, 0.07345012956298888, -0.08211635787039995, 0.07963914475869388, -0.02602384138852358, -0.18756138632074, -0.003960372731089592, 0.34711548492312433, -0.22043250005925075, -0.2604160733707249, 0.048230740739963945, -0.307723205043003, -0.15886654552072288, 0.26874536864459514, -0.13500315502285956, 0.04258312713820487, 0.09249492374248802, 0.0913897903636098, -0.0671981965872692, -0.3935056028189138, 0.29957270437851546, -0.013562404215335847, 0.2165589002892375, 0.06733841992914677, 0.010105345994234086, 0.010472540874034167, 0.01232604351826012, -0.07335268455706682, -0.10521626456320518, 0.1264629764482379, 0.3357959517464042, 0.14404381365980953, 0.27667395083233715, -0.3859688883274794, -0.18661637135781348, 0.15184535759501158, 0.14940424020402132, 0.09590547496452928, -0.08107624078169465, -0.1739040676620789, 0.22506310371682048, -0.19142662281170486, -0.1497210643813014, -0.0525103986193426, 0.11508416237309575, 0.016611597910523416, -0.21627092875540257, 0.0840088401309913, 0.1339874742552638, 0.0645270400121808, -0.07430226913187653, -0.1960157021600753, 0.08089745536446571, 0.07721051200293004, 0.10018650405108928, 0.013687940705567598, -0.011047584749758244, -0.10006602940149606, -0.1564832602441311, 0.39896055102348327, 0.02291441548615694, -0.12566740884911268, 0.15479304072097874, -0.2047990021109581, -0.2383968671504408, 0.10741061756387353, 0.09333669564686715, 0.10871366657316685, -0.05988582843914628, 0.07329850237700157, -0.15192847438156604, 0.19488225530833006, 0.1759407255332917, 0.05013352769194171, 0.13266794849187136, 0.09580663439817727, -0.002112375351134688, 0.14888385367114096, -0.024116039257496596, -0.07869138255016878, -0.250936075465288, -0.1878158056922257, -0.20372143224347383, 0.05757407957687974, -0.04236767335765762, -0.12269443167373538, 0.364953726939857, 0.1883950554393232, 0.17626192882657052, 0.0917006841674447, 0.2233404878899455, 0.09777747793123126, 0.08374872624874115, 0.07104996141046285, 0.19852627913758625, 0.14802168130874635, 0.03598059298470616, -0.06060918495059013, 0.08037738804705441, 0.0803620019601658] |
711.1857 | A catalog of planetary nebulae in the elliptical galaxy NGC 4697 | We present a catalog of 535 planetary nebulae discovered in the flattened
elliptical galaxy NGC 4697, using the FORS1 Cassegrain spectrograph of the Very
Large Telescope of the European Southern Observatory at Cerro Paranal, Chile.
The catalog provides positions (x, y coordinates relative to the center of
light of NGC 4697, as well as RA, Dec.), and, for almost all PNs, the magnitude
m(5007) and the heliocentric radial velocity in km/s.
| astro-ph | we present a catalog of 535 planetary nebulae discovered in the flattened elliptical galaxy ngc 4697 using the fors1 cassegrain spectrograph of the very large telescope of the european southern observatory at cerro paranal chile the catalog provides positions x y coordinates relative to the center of light of ngc 4697 as well as ra dec and for almost all pns the magnitude m5007 and the heliocentric radial velocity in kms | [['we', 'present', 'a', 'catalog', 'of', '535', 'planetary', 'nebulae', 'discovered', 'in', 'the', 'flattened', 'elliptical', 'galaxy', 'ngc', '4697', 'using', 'the', 'fors1', 'cassegrain', 'spectrograph', 'of', 'the', 'very', 'large', 'telescope', 'of', 'the', 'european', 'southern', 'observatory', 'at', 'cerro', 'paranal', 'chile', 'the', 'catalog', 'provides', 'positions', 'x', 'y', 'coordinates', 'relative', 'to', 'the', 'center', 'of', 'light', 'of', 'ngc', '4697', 'as', 'well', 'as', 'ra', 'dec', 'and', 'for', 'almost', 'all', 'pns', 'the', 'magnitude', 'm5007', 'and', 'the', 'heliocentric', 'radial', 'velocity', 'in', 'kms']] | [-0.12727739151016298, 0.04566782937240853, -0.10864298540810255, 0.021828389188773195, -0.12894763333827886, -0.05536412604031822, 0.004881701055048427, 0.4288587121056839, -0.09314638131599821, -0.38655731050481257, 0.061100051597311675, -0.31898927006503225, 0.02052707427089483, 0.26079301118955645, -0.04507911962155305, -0.06533481681745656, 0.1571908016380867, -0.11089406571757625, -0.013502275253134504, -0.29204116669863883, 0.20850207310327343, 0.1687611043125286, 0.1572100979367822, -0.13544310429986095, 0.19911080513569251, -0.0842859652418066, -0.08460292220115662, -0.07104441194637666, -0.15194415466853378, 0.030569039606554826, 0.2779263598716516, 0.09578833552602102, 0.19449044354784656, -0.2427233176004194, -0.055045491635379654, -0.011651253209672344, 0.20842499474824314, -0.06078216962149026, -0.009218693796125516, -0.40234376358943924, 0.025523127515760944, -0.17824295151349104, -0.32699968330037427, 0.1699397828836571, 0.08743633977203093, 0.0896820775167623, -0.1504236201945902, 0.07764333628222976, -0.0943177811497893, 0.2287658333752147, -0.16567408736847655, -0.19649633928530022, -0.1338254582894389, 0.11840870519640895, -0.04789258584931073, 0.12256703065367232, 0.09209065871890372, -0.07693556419403201, 0.08291232411447964, 0.42925309711857373, -0.08363761576417257, 0.1280629821908726, 0.14678806301311287, -0.3144915775513985, -0.2026533476850936, 0.08028075140966497, 0.21102054884106342, 0.14054420650411975, -0.18033751176627563, 0.0897791713367964, -0.08597656763749013, 0.18250857353289152, 0.15203022184243925, 0.06628468323480108, 0.2665651352079192, 0.03745736491302369, 0.10189074911439502, 0.0714237161610328, -0.45467707505580823, -0.011347981989646042, -0.23503991939179913, -0.10168298426359682, -0.07839353766430064, 0.04600310532218763, -0.1522192146270831, -0.1119460433878949, 0.34146053792620207, 0.04859047947766285, 0.17514904381208857, -0.017802416747042412, 0.30232514773534847, -0.048288487176686316, 0.1251118701200565, 0.15587628012339413, 0.33429331683986624, 0.17095238548821548, 0.18042197037803034, -0.17901552871892779, 0.02609120609737198, 0.040944031479073245] |
711.1858 | A Fundamental Lower Bound of Actuating Energy for Broadband Photon
Switching | We derive a universal lower bound of actuating energy $E_{s}$ for broadband
photon switching by using an uncertainty relation between time and the negative
energy density of quantum fields. We find that broadband photon switching
between perfect reflection and perfect transmission over a time $t_s$ should
satisfy $E_{s}\geq\frac{\hbar}{6\pi t_s}$.
| quant-ph | we derive a universal lower bound of actuating energy e_s for broadband photon switching by using an uncertainty relation between time and the negative energy density of quantum fields we find that broadband photon switching between perfect reflection and perfect transmission over a time t_s should satisfy e_sgeqfrachbar6pi t_s | [['we', 'derive', 'a', 'universal', 'lower', 'bound', 'of', 'actuating', 'energy', 'e_s', 'for', 'broadband', 'photon', 'switching', 'by', 'using', 'an', 'uncertainty', 'relation', 'between', 'time', 'and', 'the', 'negative', 'energy', 'density', 'of', 'quantum', 'fields', 'we', 'find', 'that', 'broadband', 'photon', 'switching', 'between', 'perfect', 'reflection', 'and', 'perfect', 'transmission', 'over', 'a', 'time', 't_s', 'should', 'satisfy', 'e_sgeqfrachbar6pi', 't_s']] | [-0.20618049449209744, 0.2371875736016591, -0.08173399113972361, 0.018641303875483572, -0.058917347341775894, -0.16183537661951655, 0.12658991382825965, 0.4601319134235382, -0.2360344392315407, -0.3432397781871259, -0.0028817992812643447, -0.23393599308716753, -0.06346412920781101, 0.2304682655230863, 0.01653129029242943, 0.025545219929578405, -0.05434380557077626, 0.024224771768786013, -0.06483809187678465, -0.13142355799209327, 0.2732877926124881, 0.06517066524005106, 0.3294247461793323, 0.08609507733490318, 0.17541483005819222, 0.06116186503398543, 0.05191368763917126, -0.0017628808418521658, -0.21380448464469737, 0.0650994210348775, 0.26010721174437396, 0.05028058186871931, 0.1823482132361581, -0.4003052949750175, -0.20641063142102212, 0.1352871600247454, 0.07537232732162617, 0.05492079614972075, -0.042468933621421456, -0.19324841383301342, 0.0744075394468382, -0.17204446383402683, -0.06713533947671142, -0.01566299347905442, 0.035945006859644, 0.025712316622957587, -0.2777395268591742, 0.16258373899230114, 0.04639640700042946, 0.04884480494850626, -0.0772665906115435, -0.013419130720042935, -0.05591047714309146, 0.08284880279097706, -0.04314833945439508, -0.06581853890869145, 0.08778994353876139, -0.12094819329892441, -0.12106550003712375, 0.2982779562395687, -0.10477240055721875, -0.0822634327923879, 0.08147715924133081, -0.11726645307498984, -0.01388742592340956, 0.16825042453031833, 0.13057985672397385, 0.061274234826366104, -0.10881026069788884, 0.07092166909084578, 0.00022606740579552328, 0.24991958623286337, 0.14291540863147625, 0.12526446135598235, 0.2137793550209608, 0.07569134549703449, 0.14213526111173755, 0.11229478861787356, -0.08263040795767058, -0.05842390317896692, -0.3341600301985939, -0.1785672564546985, -0.2017301678667233, 0.14842734578996897, -0.13988207206845496, -0.09301952827566613, 0.3267079589422792, 0.09701497961456577, 0.2042133669795779, 0.11121507330487172, 0.33808532698700827, 0.2609643900068477, -0.013123690208885819, 0.13126567314611748, 0.2512222162137429, 0.1661081870600659, 0.0816597385443553, -0.25450136058498174, 0.009146144341987869, -0.049843449916807] |
711.1859 | Doubles for monoidal categories | In a recent paper, Daisuke Tambara defined two-sided actions on an endomodule
(= endodistributor) of a monoidal V-category A. When A is autonomous (= rigid =
compact), he showed that the V-category (that we call Tamb(A)) of so-equipped
endomodules (that we call Tambara modules) is equivalent to the monoidal centre
Z[A,V] of the convolution monoidal V-category [A,V]. Our paper extends these
ideas somewhat. For general A, we construct a promonoidal V-category DA (which
we suggest should be called the double of A) with an equivalence [DA,V] \simeq
Tamb(A). When A is closed, we define strong (respectively, left strong) Tambara
modules and show that these constitute a V-category Tamb_s(A) (respectively,
Tamb_{ls}(A)) which is equivalent to the centre (respectively, lax centre) of
[A,V]. We construct localizations D_s A and D_{ls} A of DA such that there are
equivalences Tamb_s(A) \simeq [D_s A,V] and Tamb_{ls}(A) \simeq [D_{ls} A,V].
When A is autonomous, every Tambara module is strong; this implies an
equivalence Z[A,V] \simeq [DA,V].
| math.CT | in a recent paper daisuke tambara defined twosided actions on an endomodule endodistributor of a monoidal vcategory a when a is autonomous rigid compact he showed that the vcategory that we call tamba of soequipped endomodules that we call tambara modules is equivalent to the monoidal centre zav of the convolution monoidal vcategory av our paper extends these ideas somewhat for general a we construct a promonoidal vcategory da which we suggest should be called the double of a with an equivalence dav simeq tamba when a is closed we define strong respectively left strong tambara modules and show that these constitute a vcategory tamb_sa respectively tamb_lsa which is equivalent to the centre respectively lax centre of av we construct localizations d_s a and d_ls a of da such that there are equivalences tamb_sa simeq d_s av and tamb_lsa simeq d_ls av when a is autonomous every tambara module is strong this implies an equivalence zav simeq dav | [['in', 'a', 'recent', 'paper', 'daisuke', 'tambara', 'defined', 'twosided', 'actions', 'on', 'an', 'endomodule', 'endodistributor', 'of', 'a', 'monoidal', 'vcategory', 'a', 'when', 'a', 'is', 'autonomous', 'rigid', 'compact', 'he', 'showed', 'that', 'the', 'vcategory', 'that', 'we', 'call', 'tamba', 'of', 'soequipped', 'endomodules', 'that', 'we', 'call', 'tambara', 'modules', 'is', 'equivalent', 'to', 'the', 'monoidal', 'centre', 'zav', 'of', 'the', 'convolution', 'monoidal', 'vcategory', 'av', 'our', 'paper', 'extends', 'these', 'ideas', 'somewhat', 'for', 'general', 'a', 'we', 'construct', 'a', 'promonoidal', 'vcategory', 'da', 'which', 'we', 'suggest', 'should', 'be', 'called', 'the', 'double', 'of', 'a', 'with', 'an', 'equivalence', 'dav', 'simeq', 'tamba', 'when', 'a', 'is', 'closed', 'we', 'define', 'strong', 'respectively', 'left', 'strong', 'tambara', 'modules', 'and', 'show', 'that', 'these', 'constitute', 'a', 'vcategory', 'tamb_sa', 'respectively', 'tamb_lsa', 'which', 'is', 'equivalent', 'to', 'the', 'centre', 'respectively', 'lax', 'centre', 'of', 'av', 'we', 'construct', 'localizations', 'd_s', 'a', 'and', 'd_ls', 'a', 'of', 'da', 'such', 'that', 'there', 'are', 'equivalences', 'tamb_sa', 'simeq', 'd_s', 'av', 'and', 'tamb_lsa', 'simeq', 'd_ls', 'av', 'when', 'a', 'is', 'autonomous', 'every', 'tambara', 'module', 'is', 'strong', 'this', 'implies', 'an', 'equivalence', 'zav', 'simeq', 'dav']] | [-0.13465421870029692, 0.0808589690391994, -0.07320144642786733, 0.06733114698275539, -0.08542713799738678, -0.1572057829720193, 0.019247372283054322, 0.41434104486272255, -0.32244494956885944, -0.1380561407013186, 0.06755545673297782, -0.23605057223346726, -0.14849933128771853, 0.1821051422121196, -0.1902778575228977, -0.12400127829148852, 0.07851737197488547, 0.06078754120410002, -0.08011147541090333, -0.19706460503572276, 0.36832456265672525, -0.0020995880461073127, 0.20044296450656035, 0.041602026690439935, 0.12943091904744505, -0.03131199754164394, 0.01309752754931306, 0.01464184311957195, -0.14896151988956763, 0.1328477244374567, 0.26141364763266056, 0.10526745212424932, 0.22206089948625143, -0.2903394453763432, -0.0801462836499358, 0.14288098827518267, 0.10970446091980256, 0.03861887576540225, -0.022248229099405478, -0.31587108318404905, 0.18244555190904066, -0.26461899428275126, -0.0759270004478508, -0.02467310362904943, 0.13046883709150656, 0.017045909249833947, -0.32072905210842345, -0.02401085680286432, 0.13445760011672975, 0.06838166878783497, -0.07527825035925569, -0.06908328910117391, -0.03472018746883962, 0.07219340295253868, -0.066529447646362, 0.09578855547347459, 0.1244262054365867, -0.09986683964119132, -0.10445141431169007, 0.37822769792943167, -0.09034139701839665, -0.13122690596200268, 0.17609819818673464, -0.08272295222970946, -0.17209047836026756, 0.08279649725440762, 0.042635013432852156, 0.12699340909141404, -0.10779945810219065, 0.15281427076672494, -0.17510856958587878, 0.15525839708480535, 0.06857589247219008, -0.0014078536632888277, 0.18048537976975584, 0.14237539334832852, 0.07947051539888669, 0.09465779365152763, -0.03150102712438795, -0.01621891664790696, -0.32830563215860004, -0.21031182929231176, -0.026789190320715566, 0.1537723447902706, -0.05310875158084573, -0.15256539662850313, 0.31905518175777176, 0.12341727080658592, 0.23530451213250514, 0.14246466135574054, 0.20927484989455292, 0.09378838030152738, 0.07733706078042502, 0.10893309401219775, 0.20512540708296, 0.20850149407212076, 0.007151301156986377, -0.08600016430919541, -0.047860070336449505, 0.1242978839685434] |
711.186 | Cosmic Covariance and the Low Quadrupole Anisotropy of the Wilkinson
Microwave Anisotropy Probe (WMAP) Data | The quadrupole power of cosmic microwave background (CMB) temperature
anisotropies seen in the WMAP data is puzzlingly low. In this paper we
demonstrate that Minimum Variance Optimization (MVO), a technique used by many
authors (including the WMAP science team) to separate the CMB from
contaminating foregrounds, has the effect of forcing the extracted CMB map to
have zero statistical correlation with the foreground emission. Over an
ensemble of universes the true CMB and foreground are indeed expected to be
uncorrelated, but any particular sky pattern (such as the one we happen to
observe) will generate non-zero measured correlations simply by chance. We call
this effect "cosmic covariance" and it is a possible source of bias in the CMB
maps cleaned using the MVO technique. We show that the presence of cosmic
covariance is expected to artificially suppress the variance of the Internal
Linear Combination (ILC) map obtained via MVO. It also propagates into the
multipole expansion of the ILC map, generating a quadrupole deficit with more
than 90% confidence. Since we do not know the CMB and the foregrounds a priori,
there is therefore an unknown contribution to the uncertainty in the measured
quadrupole power, over and above the usual cosmic variance contribution. Using
the MVO on a series of Monte Carlo simulations that assume Gaussian CMB
fluctuations, we estimate that the real quadrupole power of the CMB lies in the
range [305.16,400.40] microKelvin^2 (at the 1-sigma level).
| astro-ph | the quadrupole power of cosmic microwave background cmb temperature anisotropies seen in the wmap data is puzzlingly low in this paper we demonstrate that minimum variance optimization mvo a technique used by many authors including the wmap science team to separate the cmb from contaminating foregrounds has the effect of forcing the extracted cmb map to have zero statistical correlation with the foreground emission over an ensemble of universes the true cmb and foreground are indeed expected to be uncorrelated but any particular sky pattern such as the one we happen to observe will generate nonzero measured correlations simply by chance we call this effect cosmic covariance and it is a possible source of bias in the cmb maps cleaned using the mvo technique we show that the presence of cosmic covariance is expected to artificially suppress the variance of the internal linear combination ilc map obtained via mvo it also propagates into the multipole expansion of the ilc map generating a quadrupole deficit with more than 90 confidence since we do not know the cmb and the foregrounds a priori there is therefore an unknown contribution to the uncertainty in the measured quadrupole power over and above the usual cosmic variance contribution using the mvo on a series of monte carlo simulations that assume gaussian cmb fluctuations we estimate that the real quadrupole power of the cmb lies in the range 3051640040 microkelvin2 at the 1sigma level | [['the', 'quadrupole', 'power', 'of', 'cosmic', 'microwave', 'background', 'cmb', 'temperature', 'anisotropies', 'seen', 'in', 'the', 'wmap', 'data', 'is', 'puzzlingly', 'low', 'in', 'this', 'paper', 'we', 'demonstrate', 'that', 'minimum', 'variance', 'optimization', 'mvo', 'a', 'technique', 'used', 'by', 'many', 'authors', 'including', 'the', 'wmap', 'science', 'team', 'to', 'separate', 'the', 'cmb', 'from', 'contaminating', 'foregrounds', 'has', 'the', 'effect', 'of', 'forcing', 'the', 'extracted', 'cmb', 'map', 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711.1861 | Characterizing the Near-UV Environment of M Dwarfs | We report the results of our HST snapshot survey with the ACS HRC PR200L
prism, designed to measure the near-UV emission in a sample of nearby M dwarfs.
33 stars were observed, spanning the mass range from 0.1 - 0.6 solar masses
(T_eff ~ 2200K - 4000K) where the UV energy distributions vary widely between
active and inactive stars. These observations provide much-needed constraints
on models of the habitability zone and the atmospheres of possible terrestrial
planets orbiting M dwarf hosts, and will be useful in refining the target
selection for future space missions such as TPF. We compare our data with a new
generation of M dwarf atmospheric models and discuss their implication for the
chromospheric energy budget. These NUV data will also be valuable in
conjunction with existing optical, FUV and X-ray data to explore unanswered
questions regarding the dynamo generation and magnetic heating in low-mass
stars.
| astro-ph | we report the results of our hst snapshot survey with the acs hrc pr200l prism designed to measure the nearuv emission in a sample of nearby m dwarfs 33 stars were observed spanning the mass range from 01 06 solar masses t_eff 2200k 4000k where the uv energy distributions vary widely between active and inactive stars these observations provide muchneeded constraints on models of the habitability zone and the atmospheres of possible terrestrial planets orbiting m dwarf hosts and will be useful in refining the target selection for future space missions such as tpf we compare our data with a new generation of m dwarf atmospheric models and discuss their implication for the chromospheric energy budget these nuv data will also be valuable in conjunction with existing optical fuv and xray data to explore unanswered questions regarding the dynamo generation and magnetic heating in lowmass stars | [['we', 'report', 'the', 'results', 'of', 'our', 'hst', 'snapshot', 'survey', 'with', 'the', 'acs', 'hrc', 'pr200l', 'prism', 'designed', 'to', 'measure', 'the', 'nearuv', 'emission', 'in', 'a', 'sample', 'of', 'nearby', 'm', 'dwarfs', '33', 'stars', 'were', 'observed', 'spanning', 'the', 'mass', 'range', 'from', '01', '06', 'solar', 'masses', 't_eff', '2200k', '4000k', 'where', 'the', 'uv', 'energy', 'distributions', 'vary', 'widely', 'between', 'active', 'and', 'inactive', 'stars', 'these', 'observations', 'provide', 'muchneeded', 'constraints', 'on', 'models', 'of', 'the', 'habitability', 'zone', 'and', 'the', 'atmospheres', 'of', 'possible', 'terrestrial', 'planets', 'orbiting', 'm', 'dwarf', 'hosts', 'and', 'will', 'be', 'useful', 'in', 'refining', 'the', 'target', 'selection', 'for', 'future', 'space', 'missions', 'such', 'as', 'tpf', 'we', 'compare', 'our', 'data', 'with', 'a', 'new', 'generation', 'of', 'm', 'dwarf', 'atmospheric', 'models', 'and', 'discuss', 'their', 'implication', 'for', 'the', 'chromospheric', 'energy', 'budget', 'these', 'nuv', 'data', 'will', 'also', 'be', 'valuable', 'in', 'conjunction', 'with', 'existing', 'optical', 'fuv', 'and', 'xray', 'data', 'to', 'explore', 'unanswered', 'questions', 'regarding', 'the', 'dynamo', 'generation', 'and', 'magnetic', 'heating', 'in', 'lowmass', 'stars']] | [-0.03438573235742234, 0.15901959410643784, -0.017404394950075397, 0.12334326300127753, -0.14889539799107046, -0.04694999606059543, 0.10682852002631488, 0.4222307866246536, -0.1586927168585103, -0.427803706316727, 0.07116233569666229, -0.3126455630657488, -0.037375978425402065, 0.24632001795549074, -0.08163449721539329, 0.009312368322420737, 0.11916498646043755, -0.08281176638897862, -0.02212147950034203, -0.26834950772724275, 0.2797320500048327, 0.0856805064715445, 0.11279437627386431, -0.04193139634865882, 0.005836099672837761, -0.08219129573232654, -0.10107422825591318, -0.06174591954432203, -0.22441420657861302, 0.0346236399471246, 0.28117744959795504, 0.15921295888336567, 0.20426135737898535, -0.3651779517079282, -0.2589434647611503, 0.06959234228506203, 0.14656354406655864, -0.03761895900784895, -0.07924661202564964, -0.26854751065116506, 0.05186578047678581, -0.12968113321413544, -0.13609534330537607, 0.021334195945508266, 0.04021219460871713, 0.04519873973752918, -0.27355505111306133, 0.027191771516086663, 0.008078764515912867, 0.11925686247775268, -0.1778796773179081, -0.14844988481751803, -0.08421907644590428, 0.11769070003567071, -0.0007270805377127795, 0.05365327575147666, 0.15253516099624465, -0.11136024684629178, -0.03383997477719496, 0.3942263151326313, -0.11315024809205326, 0.007541186549572338, 0.24285225461333476, -0.19767749125683873, -0.1640821610882493, 0.0816778509339703, 0.17951694356080883, 0.14340718394980348, -0.17801758149189167, 0.02028486325269051, -0.03282871333850098, 0.16465254311674626, 0.0337720494460443, 0.122084333690622, 0.37255234533342824, 0.18404077755303347, 0.05432335771339271, 0.05187275662119019, -0.2768355982329953, 0.013632614353013321, -0.2060691304536986, -0.12415496553454934, -0.10216641998046945, 0.05819099787943836, -0.11141405722451525, -0.09925434326046499, 0.3316145972830468, 0.18084639773928912, 0.18246447852941167, 0.04305635465084222, 0.3250700537404367, 0.03245870254628746, 0.09353184367224959, 0.10170779914819988, 0.31701710835613056, 0.1497785744690818, 0.12059822077220626, -0.2310854444681699, 0.017762714402814364, -0.042354029529438966] |
711.1862 | An improved measurement of the flux distribution of the Ly-alpha forest
in QSO absorption spectra: the effect of continuum fitting, metal
contamination and noise properties | We have performed an extensive Voigt profile analysis of the neutral hydrogen
(HI) and metal absorption present in a sample of 18 high resolution, high
signal-to-noise QSO spectra observed with VLT/UVES. We use this analysis to
separate the metal contribution from the HI absorption and present an improved
measurement of the flux probability distribution function (PDF) due to HI
absorption alone at <z> = 2.07, 2.52, and 2.94. The flux PDF is sensitive to
the continuum fit in the normalised flux range 0.8 < F < 1.0 and to metal
absorption at 0.2 < F < 0.8. Our new measurements of the flux PDF due to HI
absorption alone are systematically lower at 0.2 < F < 0.8 by up to 30%
compared to the widely used measurement of McDonald et al. (2000), based on a
significantly smaller sample of Keck/HIRES data. This discrepancy is probably
due to a combination of our improved removal of the metal absorption and cosmic
variance, since variations in the flux PDF between different lines-of-sight are
large. The HI effective optical depth at 1.7 < z < 4 is best fit with a single
power law, (0.0023 +-0.0007) (1+z)^(3.65 +- 0.21), in good agreement with
previous measurements from comparable data. As also found previously, the
effect of noise on the flux distribution is not significant in high resolution,
high signal-to-noise data.
| astro-ph | we have performed an extensive voigt profile analysis of the neutral hydrogen hi and metal absorption present in a sample of 18 high resolution high signaltonoise qso spectra observed with vltuves we use this analysis to separate the metal contribution from the hi absorption and present an improved measurement of the flux probability distribution function pdf due to hi absorption alone at z 207 252 and 294 the flux pdf is sensitive to the continuum fit in the normalised flux range 08 f 10 and to metal absorption at 02 f 08 our new measurements of the flux pdf due to hi absorption alone are systematically lower at 02 f 08 by up to 30 compared to the widely used measurement of mcdonald et al 2000 based on a significantly smaller sample of keckhires data this discrepancy is probably due to a combination of our improved removal of the metal absorption and cosmic variance since variations in the flux pdf between different linesofsight are large the hi effective optical depth at 17 z 4 is best fit with a single power law 00023 00007 1z365 021 in good agreement with previous measurements from comparable data as also found previously the effect of noise on the flux distribution is not significant in high resolution high signaltonoise data | [['we', 'have', 'performed', 'an', 'extensive', 'voigt', 'profile', 'analysis', 'of', 'the', 'neutral', 'hydrogen', 'hi', 'and', 'metal', 'absorption', 'present', 'in', 'a', 'sample', 'of', '18', 'high', 'resolution', 'high', 'signaltonoise', 'qso', 'spectra', 'observed', 'with', 'vltuves', 'we', 'use', 'this', 'analysis', 'to', 'separate', 'the', 'metal', 'contribution', 'from', 'the', 'hi', 'absorption', 'and', 'present', 'an', 'improved', 'measurement', 'of', 'the', 'flux', 'probability', 'distribution', 'function', 'pdf', 'due', 'to', 'hi', 'absorption', 'alone', 'at', 'z', '207', '252', 'and', '294', 'the', 'flux', 'pdf', 'is', 'sensitive', 'to', 'the', 'continuum', 'fit', 'in', 'the', 'normalised', 'flux', 'range', 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711.1863 | Galaxy Cluster Correlation Function to z ~ 1.5 in the IRAC Shallow
Cluster Survey | We present the galaxy cluster autocorrelation function of 277 galaxy cluster
candidates with 0.25 \le z \le 1.5 in a 7 deg^2 area of the IRAC Shallow
Cluster Survey. We find strong clustering throughout our galaxy cluster sample,
as expected for these massive structures. Specifically, at <z> = 0.5 we find a
correlation length of r_0 = 17.40^{+3.98}_{-3.10} h^-1 Mpc, in excellent
agreement with the Las Campanas Distant Cluster Survey, the only other
non-local measurement. At higher redshift, <z> = 1, we find that strong
clustering persists, with a correlation length of r_0=19.14^{+5.65}_{-4.56}
h^-1 Mpc. A comparison with high resolution cosmological simulations indicates
these are clusters with halo masses of \sim 10^{14} Msun, a result supported by
estimates of dynamical mass for a subset of the sample. In a stable clustering
picture, these clusters will evolve into massive (10^{15} Msun) clusters by the
present day.
| astro-ph | we present the galaxy cluster autocorrelation function of 277 galaxy cluster candidates with 025 le z le 15 in a 7 deg2 area of the irac shallow cluster survey we find strong clustering throughout our galaxy cluster sample as expected for these massive structures specifically at z 05 we find a correlation length of r_0 1740398_310 h1 mpc in excellent agreement with the las campanas distant cluster survey the only other nonlocal measurement at higher redshift z 1 we find that strong clustering persists with a correlation length of r_01914565_456 h1 mpc a comparison with high resolution cosmological simulations indicates these are clusters with halo masses of sim 1014 msun a result supported by estimates of dynamical mass for a subset of the sample in a stable clustering picture these clusters will evolve into massive 1015 msun clusters by the present day | [['we', 'present', 'the', 'galaxy', 'cluster', 'autocorrelation', 'function', 'of', '277', 'galaxy', 'cluster', 'candidates', 'with', '025', 'le', 'z', 'le', '15', 'in', 'a', '7', 'deg2', 'area', 'of', 'the', 'irac', 'shallow', 'cluster', 'survey', 'we', 'find', 'strong', 'clustering', 'throughout', 'our', 'galaxy', 'cluster', 'sample', 'as', 'expected', 'for', 'these', 'massive', 'structures', 'specifically', 'at', 'z', '05', 'we', 'find', 'a', 'correlation', 'length', 'of', 'r_0', '1740398_310', 'h1', 'mpc', 'in', 'excellent', 'agreement', 'with', 'the', 'las', 'campanas', 'distant', 'cluster', 'survey', 'the', 'only', 'other', 'nonlocal', 'measurement', 'at', 'higher', 'redshift', 'z', '1', 'we', 'find', 'that', 'strong', 'clustering', 'persists', 'with', 'a', 'correlation', 'length', 'of', 'r_01914565_456', 'h1', 'mpc', 'a', 'comparison', 'with', 'high', 'resolution', 'cosmological', 'simulations', 'indicates', 'these', 'are', 'clusters', 'with', 'halo', 'masses', 'of', 'sim', '1014', 'msun', 'a', 'result', 'supported', 'by', 'estimates', 'of', 'dynamical', 'mass', 'for', 'a', 'subset', 'of', 'the', 'sample', 'in', 'a', 'stable', 'clustering', 'picture', 'these', 'clusters', 'will', 'evolve', 'into', 'massive', '1015', 'msun', 'clusters', 'by', 'the', 'present', 'day']] | [-0.11795320671184786, 0.09286489380922701, -0.06744582724890538, 0.10881908058987132, -0.020702709013130517, -0.047815603747065845, 0.046785971874903354, 0.4247188016240086, -0.14997383993385094, -0.39354794298165613, 0.03254392679331691, -0.3342323515431157, 0.001895890331694058, 0.17329394779434162, 0.06980827025004796, -0.03454893018850791, 0.08744450400949323, -0.0515177802182734, -0.07659515565267482, -0.32695958957940874, 0.264280102734587, 0.06699692612580423, 0.17817819421179593, -0.07482742978941782, 0.09266078466150378, -0.03236827963888313, -0.08790221521630884, 0.02216432514999594, -0.24088183310341266, 0.016453144352999514, 0.23709952313719052, 0.10456428325269371, 0.29499732989019584, -0.269470623966585, -0.15548723419196903, 0.0650941264715844, 0.2434792359392824, 0.055780754005536434, -0.1063970995501482, -0.2773379896800699, 0.17175684502830596, -0.1817094871973885, -0.1774244853694524, 0.09298757654614746, 0.038853470631875095, 0.058491802242185385, -0.22737561957910657, 0.25694949819714696, -0.04809947304997227, 0.07843089706064867, -0.07507860446099325, -0.14360631174141808, -0.04396097718771281, 0.05014060100906396, -0.055917309811671395, 0.13720864390156098, 0.16606203869118222, -0.12148836010268756, 0.015170699425756799, 0.349022407643497, -0.05155143598344044, 0.019564798051890517, 0.21369162362867167, -0.2256648760754615, -0.22653989727675383, 0.10260945106357602, 0.16500024868374957, 0.08118917517297503, -0.1507153791109366, 0.05416835286721055, -0.03373185188975185, 0.3062725448099497, 0.02723557083601398, 0.05603097065702189, 0.28711490513357735, 0.1498703722742253, 0.09815873767698317, 0.04339147483821892, -0.21723196238079773, -0.012502630946359464, -0.26095149166649206, -0.08321280090936593, -0.11569103860362832, 0.10813171318732202, -0.22570943600897278, -0.09120995724370004, 0.2832055744581989, 0.10935263877867588, 0.25433421394721206, 0.16918991518240156, 0.22630662895472986, 0.02150562837736548, 0.11777196515551103, 0.07370496415533126, 0.27940369525126046, 0.1502476617494332, 0.03617961484872337, -0.17370194606815598, -0.05707160810291368, -0.012463187694083899] |
711.1864 | Enhancing Domain Wall Speed in Nanowires with Transverse Magnetic Fields | Dynamic micromagnetic simulation studies have been completed to observe the
motion of a domain wall in a magnetic nanowire in an effort to increase the
field-driven domain wall speed. Previous studies have shown that the wire
dimensions place a cap on the maximum speed attainable by a domain wall when
driven by a magnetic field placed along the direction of the nanowire. Here we
present data showing a significant increase in the maximum speed of a domain
wall due to the addition of a magnetic field placed perpendicular to the
longitudinal driving field. The results are expressed in terms of the relative
alignment of the transverse field direction with respect to the direction of
the magnetic moments within the domain wall. In particular, when the transverse
field is parallel to the magnetic moments within the domain wall, the velocity
of the wall varies linearly with the strength of the transverse field
increasing by up to 20%. Further examination of the domain wall structure shows
that the length of the domain wall also depends linearly on the strength of the
transverse field. We present a simple model to correlate the effects.
| cond-mat.mtrl-sci | dynamic micromagnetic simulation studies have been completed to observe the motion of a domain wall in a magnetic nanowire in an effort to increase the fielddriven domain wall speed previous studies have shown that the wire dimensions place a cap on the maximum speed attainable by a domain wall when driven by a magnetic field placed along the direction of the nanowire here we present data showing a significant increase in the maximum speed of a domain wall due to the addition of a magnetic field placed perpendicular to the longitudinal driving field the results are expressed in terms of the relative alignment of the transverse field direction with respect to the direction of the magnetic moments within the domain wall in particular when the transverse field is parallel to the magnetic moments within the domain wall the velocity of the wall varies linearly with the strength of the transverse field increasing by up to 20 further examination of the domain wall structure shows that the length of the domain wall also depends linearly on the strength of the transverse field we present a simple model to correlate the effects | [['dynamic', 'micromagnetic', 'simulation', 'studies', 'have', 'been', 'completed', 'to', 'observe', 'the', 'motion', 'of', 'a', 'domain', 'wall', 'in', 'a', 'magnetic', 'nanowire', 'in', 'an', 'effort', 'to', 'increase', 'the', 'fielddriven', 'domain', 'wall', 'speed', 'previous', 'studies', 'have', 'shown', 'that', 'the', 'wire', 'dimensions', 'place', 'a', 'cap', 'on', 'the', 'maximum', 'speed', 'attainable', 'by', 'a', 'domain', 'wall', 'when', 'driven', 'by', 'a', 'magnetic', 'field', 'placed', 'along', 'the', 'direction', 'of', 'the', 'nanowire', 'here', 'we', 'present', 'data', 'showing', 'a', 'significant', 'increase', 'in', 'the', 'maximum', 'speed', 'of', 'a', 'domain', 'wall', 'due', 'to', 'the', 'addition', 'of', 'a', 'magnetic', 'field', 'placed', 'perpendicular', 'to', 'the', 'longitudinal', 'driving', 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0.019354335426990138, -0.029355457169003785] |
711.1865 | Stellar growth by disk accretion: the effect of disk irradiation on the
protostellar evolution | Young stars are expected to gain most of their mass by accretion from a disk
that forms around them as a result of angular momentum conservation in the
collapsing protostellar cloud. Accretion initially proceeds at high rates of
10^{-6}-10^{-5} M_Sun/yr resulting in strong irradiation of the stellar surface
by the hot inner portion of the disk and leading to the suppression of the
intrinsic stellar luminosity. Here we investigate how this luminosity
suppression affects evolution of the protostellar properties. Using simple
model based on the energy balance of accreting star we demonstrate that disk
irradiation causes only a slight increase of the protostellar radius, at the
level of several per cent. Such a weak effect is explained by a minor role
played by the intrinsic stellar luminosity (at the time when it is
significantly altered by irradiation) in the protostellar energy budget
compared to the stellar deuterium burning luminosity and the inflow of the
gravitational potential energy brought in by the freshly accreted material. Our
results justify the neglect of irradiation effects in previous studies of the
protostellar growth via disk accretion. Evolution of some other actively
accreting objects such as young brown dwarfs and planets should also be only
weakly sensitive to the effects of disk irradiation.
| astro-ph | young stars are expected to gain most of their mass by accretion from a disk that forms around them as a result of angular momentum conservation in the collapsing protostellar cloud accretion initially proceeds at high rates of 106105 m_sunyr resulting in strong irradiation of the stellar surface by the hot inner portion of the disk and leading to the suppression of the intrinsic stellar luminosity here we investigate how this luminosity suppression affects evolution of the protostellar properties using simple model based on the energy balance of accreting star we demonstrate that disk irradiation causes only a slight increase of the protostellar radius at the level of several per cent such a weak effect is explained by a minor role played by the intrinsic stellar luminosity at the time when it is significantly altered by irradiation in the protostellar energy budget compared to the stellar deuterium burning luminosity and the inflow of the gravitational potential energy brought in by the freshly accreted material our results justify the neglect of irradiation effects in previous studies of the protostellar growth via disk accretion evolution of some other actively accreting objects such as young brown dwarfs and planets should also be only weakly sensitive to the effects of disk irradiation | [['young', 'stars', 'are', 'expected', 'to', 'gain', 'most', 'of', 'their', 'mass', 'by', 'accretion', 'from', 'a', 'disk', 'that', 'forms', 'around', 'them', 'as', 'a', 'result', 'of', 'angular', 'momentum', 'conservation', 'in', 'the', 'collapsing', 'protostellar', 'cloud', 'accretion', 'initially', 'proceeds', 'at', 'high', 'rates', 'of', '106105', 'm_sunyr', 'resulting', 'in', 'strong', 'irradiation', 'of', 'the', 'stellar', 'surface', 'by', 'the', 'hot', 'inner', 'portion', 'of', 'the', 'disk', 'and', 'leading', 'to', 'the', 'suppression', 'of', 'the', 'intrinsic', 'stellar', 'luminosity', 'here', 'we', 'investigate', 'how', 'this', 'luminosity', 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'growth', 'via', 'disk', 'accretion', 'evolution', 'of', 'some', 'other', 'actively', 'accreting', 'objects', 'such', 'as', 'young', 'brown', 'dwarfs', 'and', 'planets', 'should', 'also', 'be', 'only', 'weakly', 'sensitive', 'to', 'the', 'effects', 'of', 'disk', 'irradiation']] | [-0.05886697334398587, 0.17228631930461583, -0.04826059204508336, 0.09953123556904477, -0.07731535181833002, -0.0008890197966068697, 0.04743237152937441, 0.37753682107610914, -0.20977421214998826, -0.37625036856535676, 0.0548893839748836, -0.26114160610506165, -0.005465459562121675, 0.18920583838861113, -0.05244027131210224, 0.0016932822635191348, 0.08694743064384405, -0.07520505747435471, -0.060665986832016364, -0.2598170682859535, 0.3789810596186166, 0.135529155704157, 0.10469796334599288, 0.04587989838910289, 0.03756625222292943, -0.11586539070189107, -0.04412290739352242, -0.037824650024189256, -0.15466115841578498, 0.016463189963430453, 0.2055218481031121, 0.09632928696093866, 0.2665909015922807, 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711.1866 | Langevin Simulation of Scalar Fields: Additive and Multiplicative Noises
and Lattice Renormalization | We consider the Langevin lattice dynamics for a spontaneously broken lambda
phi^4 scalar field theory where both additive and multiplicative noise terms
are incorporated. The lattice renormalization for the corresponding stochastic
Ginzburg-Landau-Langevin and the subtleties related to the multiplicative noise
are investigated.
| hep-ph cond-mat.stat-mech | we consider the langevin lattice dynamics for a spontaneously broken lambda phi4 scalar field theory where both additive and multiplicative noise terms are incorporated the lattice renormalization for the corresponding stochastic ginzburglandaulangevin and the subtleties related to the multiplicative noise are investigated | [['we', 'consider', 'the', 'langevin', 'lattice', 'dynamics', 'for', 'a', 'spontaneously', 'broken', 'lambda', 'phi4', 'scalar', 'field', 'theory', 'where', 'both', 'additive', 'and', 'multiplicative', 'noise', 'terms', 'are', 'incorporated', 'the', 'lattice', 'renormalization', 'for', 'the', 'corresponding', 'stochastic', 'ginzburglandaulangevin', 'and', 'the', 'subtleties', 'related', 'to', 'the', 'multiplicative', 'noise', 'are', 'investigated']] | [-0.15174642349479767, 0.22242404112490122, -0.01693269046216567, 0.13830698481420192, -0.061777981702329184, -0.1718127313297151, -0.02900063578414208, 0.34524522948919273, -0.3225279046994884, -0.17723826509786816, 0.08920284881960691, -0.26525381643597673, -0.2141578544567271, 0.07086039075582493, -0.019852853107561425, 0.06945272550986308, -0.0565437291657961, 0.05373715745603166, -0.03780346095743703, -0.2539243534854727, 0.32883299593018683, 0.010230701802889021, 0.21396733066294252, -0.0023170438390679475, 0.130435249685855, -0.01217815039179674, -0.05773381943382868, 0.029602334641556188, -0.16088370251804363, 0.05247295732047727, 0.16567259566949272, -0.08644666465953356, 0.24202286177201243, -0.4444085873845147, -0.2626463883079407, 0.07696614991419198, 0.11894810946996143, 0.12684209332460675, -0.025243310757526536, -0.3281178727019124, 0.08374967826416761, -0.13416460006520514, -0.10147185114825644, -0.1496890758777537, -0.04027151003786612, -0.0019487417643753494, -0.3196884261262489, 0.09811832256069998, 0.04670834427744877, 0.06054968611768833, -0.003758406993456003, -0.1517037776548688, -0.003005976765984442, 0.07459471409958673, 0.08575009319238455, 0.01706405850297703, 0.17854487301963495, -0.16935924608714698, -0.10915276137032978, 0.45750584573734826, -0.13809551362220834, -0.286286153353569, 0.0850913778697027, -0.10096866387601305, -0.12996445244132745, 0.12925718997309849, 0.12197937820924491, 0.030687746875805826, -0.17013645846760128, 0.2326489234905372, 0.041403760983063496, 0.15553837483067337, 0.054068262654742814, 0.035637727756870956, 0.10686111577400347, 0.07648209075829605, 7.809934819616923e-07, 0.16896542216219554, -0.0072367743180110685, -0.2720865217014784, -0.36883225391914204, -0.03844887159037881, -0.12043574466029318, 0.10043711633217044, -0.1421789615521514, -0.1818251872049054, 0.36237949264667385, 0.125217098810869, 0.15788516362492994, 0.09072956236124766, 0.20611931792483096, 0.23051661591431716, -0.018288548899496476, 0.039305204031534674, 0.13094332296310401, 0.2256329621489319, 0.04648415854473303, -0.3114286244551583, -0.09754408124788869, 0.06846029111524908] |
711.1867 | New $L_p$ Affine Isoperimetric Inequalities | We prove new $L_p$ affine isoperimetric inequalities for all $ p \in
[-\infty,1)$. We establish, for all $p\neq -n$, a duality formula which shows
that $L_p$ affine surface area of a convex body $K$ equals $L_\frac{n^2}{p}$
affine surface area of the polar body $K^\circ$.
| math.MG math.FA | we prove new l_p affine isoperimetric inequalities for all p in infty1 we establish for all pneq n a duality formula which shows that l_p affine surface area of a convex body k equals l_fracn2p affine surface area of the polar body kcirc | [['we', 'prove', 'new', 'l_p', 'affine', 'isoperimetric', 'inequalities', 'for', 'all', 'p', 'in', 'infty1', 'we', 'establish', 'for', 'all', 'pneq', 'n', 'a', 'duality', 'formula', 'which', 'shows', 'that', 'l_p', 'affine', 'surface', 'area', 'of', 'a', 'convex', 'body', 'k', 'equals', 'l_fracn2p', 'affine', 'surface', 'area', 'of', 'the', 'polar', 'body', 'kcirc']] | [-0.21950661623850465, 0.0761606880862798, -0.08285367417903174, 0.07714351523844969, -0.04041317757219076, -0.24966634186871706, 0.016449859942353907, 0.3115607214470704, -0.32849435450597886, -0.1671778086040701, 0.07429042517573439, -0.28905615112966015, -0.17461268036692804, 0.23694374900133836, -0.19162881272357135, 0.05926443450152874, -0.055275082105903754, 0.07688234631149542, -0.15435549010899627, -0.2727408282724874, 0.282125457500418, -0.14707313353816667, 0.20495670161298699, 0.11723698391800835, 0.1107815185872217, 0.05975782377867117, 0.03678534330711478, 0.05346336900921805, -0.27415296733133365, 0.20977877827716016, 0.3536253601667427, 0.12887259228487633, 0.23116343388600008, -0.33826892980418743, -0.19643767676981433, 0.20098365829991444, 0.10069664031921309, -0.03987377830171248, -0.028429437345559045, -0.18007372674487887, 0.06322172381693408, -0.08987940438756985, -0.22838890284211152, 0.01765792970088244, 0.15355751104652882, 0.00464229445372309, -0.26875315313892706, 0.07962581509768608, 0.18568755478398608, 0.12964573567123375, -0.16629809903402237, -0.19782649519454157, 0.006088918640411326, 0.03901701644506483, 0.017321774203862463, 0.14375377600524752, 0.12527113810314663, 0.004877172188744659, -0.08192219323522988, 0.2586399616584891, 0.003163951848234449, -0.21527958448444093, 0.045786950537668805, -0.2549548454006158, -0.12830201798074303, 0.13644189072684162, 0.1708622999666702, 0.13425423206007553, -0.046286422138412796, 0.25869529011348885, -0.16826183845599493, 0.056474728376737664, 0.13226941001734563, 0.0035056082997471094, 0.09325543737837247, 0.028667428131614412, 0.21957499091513455, 0.20701994578398408, -0.09967853319609449, -0.038216641300962126, -0.4124781329716955, -0.2801157370032299, -0.17815857614567948, 0.10769148126599334, -0.18001201152358026, -0.1427445895082894, 0.23063384133967615, -0.05948696644710643, 0.15561351754392186, 0.2215289865825547, 0.15852582253172018, -0.0014145782306080772, 0.05860676359207857, 0.13124713857126022, 0.1540410263530378, 0.16779625238407225, -0.061651348967903426, -0.17516670585609972, -0.01364952711654561, 0.23584329414491853] |
711.1868 | How do Black Holes Spin in Chern-Simons Modified Gravity? | No Kerr-like exact solution has yet been found in Chern-Simons modified
gravity. Intrigued by this absence, we study stationary and axisymmetric
metrics that could represent the exterior field of spinning black holes. For
the standard choice of the background scalar, the modified field equations
decouple into the Einstein equations and additional constraints. These
constraints eliminate essentially all solutions except for Schwarzschild. For
non-canonical choices of the background scalar, we find several exact solutions
of the modified field equations, including mathematical black holes and
pp-waves. We show that the ultrarelativistically boosted Kerr metric can
satisfy the modified field equations, and we argue that physical spinning black
holes may exist in Chern-Simons modified gravity only if the metric breaks
stationarity, axisymmetry or energy-momentum conservation.
| gr-qc hep-th | no kerrlike exact solution has yet been found in chernsimons modified gravity intrigued by this absence we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes for the standard choice of the background scalar the modified field equations decouple into the einstein equations and additional constraints these constraints eliminate essentially all solutions except for schwarzschild for noncanonical choices of the background scalar we find several exact solutions of the modified field equations including mathematical black holes and ppwaves we show that the ultrarelativistically boosted kerr metric can satisfy the modified field equations and we argue that physical spinning black holes may exist in chernsimons modified gravity only if the metric breaks stationarity axisymmetry or energymomentum conservation | [['no', 'kerrlike', 'exact', 'solution', 'has', 'yet', 'been', 'found', 'in', 'chernsimons', 'modified', 'gravity', 'intrigued', 'by', 'this', 'absence', 'we', 'study', 'stationary', 'and', 'axisymmetric', 'metrics', 'that', 'could', 'represent', 'the', 'exterior', 'field', 'of', 'spinning', 'black', 'holes', 'for', 'the', 'standard', 'choice', 'of', 'the', 'background', 'scalar', 'the', 'modified', 'field', 'equations', 'decouple', 'into', 'the', 'einstein', 'equations', 'and', 'additional', 'constraints', 'these', 'constraints', 'eliminate', 'essentially', 'all', 'solutions', 'except', 'for', 'schwarzschild', 'for', 'noncanonical', 'choices', 'of', 'the', 'background', 'scalar', 'we', 'find', 'several', 'exact', 'solutions', 'of', 'the', 'modified', 'field', 'equations', 'including', 'mathematical', 'black', 'holes', 'and', 'ppwaves', 'we', 'show', 'that', 'the', 'ultrarelativistically', 'boosted', 'kerr', 'metric', 'can', 'satisfy', 'the', 'modified', 'field', 'equations', 'and', 'we', 'argue', 'that', 'physical', 'spinning', 'black', 'holes', 'may', 'exist', 'in', 'chernsimons', 'modified', 'gravity', 'only', 'if', 'the', 'metric', 'breaks', 'stationarity', 'axisymmetry', 'or', 'energymomentum', 'conservation']] | [-0.20083166031762348, 0.10120432875424501, -0.07679450816520658, 0.1514458751609381, -0.15930300715501558, -0.19263168277035728, -0.0928785444893798, 0.2652938387845261, -0.15205259266935411, -0.30789065697673157, 0.06338065391841544, -0.2709223204025174, -0.133250641523952, 0.1288114334475707, -0.040564921562422494, 0.04292447031399266, 0.0038984427906068988, 0.03537258960031828, -0.1328016247306416, -0.21648120288985218, 0.38598473031707414, 0.036617540032984536, 0.23051694737075537, -0.028152359508313848, 0.1544025239656817, -0.043977578720230545, -0.004820320376416393, 0.1023971455698436, -0.15966078818895707, -0.003702295503243193, 0.1591305805019057, 0.14434503049677483, 0.17853652903825412, -0.47353407924567337, -0.2708343302556237, 0.09637851486761184, 0.1744562849463498, 0.19729630585729344, -0.10562101071776792, -0.2853837443027096, 0.06989973508771967, -0.1810767118891579, -0.1807245347061057, -0.0981779015111569, 0.029225393690810095, -0.01956969511229545, -0.21532911382859848, 0.0931193088305366, 0.09717452339064635, -0.09176394323528302, -0.15801517025674464, -0.05634632629540856, -0.07285380091319685, 0.04186241325853606, 0.17320292565177697, -0.007397817054641296, 0.14518425900672302, -0.15062375422366742, -0.07947774850725212, 0.37891043534838276, -0.1371106350809702, -0.3014574158425275, 0.13954423509583977, -0.18319421323573554, -0.14132326627608205, 0.0999560532900581, 0.13769270422807361, 0.1927889434689442, -0.18848716719152375, 0.19713623633753263, -0.004992323587400472, 0.1502654648416477, 0.1869538730682164, 0.03298149224977604, 0.3436081970538028, 0.0046640557817137634, 0.004728484830101494, 0.11929912359041513, -0.000805098364954112, -0.13560625409600555, -0.3465555509643965, -0.13553608323401603, -0.0927059616412601, 0.13638910479828348, -0.1965442155673909, -0.20497994869947433, 0.3079533686586579, 0.13921418274680275, 0.04695164043547922, 0.020222823005780332, 0.23284049579950855, 0.12295022692729826, 0.058205638973988956, 0.13600078406056665, 0.3805874960456944, 0.13925490994483508, 0.12375235795539605, -0.22707955154435724, -0.09141607697839375, 0.11134704339058428] |
711.1869 | Electrically-driven phase transition in magnetite nanostructures | Magnetite (Fe$_{3}$O$_{4}$), an archetypal transition metal oxide, has been
used for thousands of years, from lodestones in primitive compasses[1] to a
candidate material for magnetoelectronic devices.[2] In 1939 Verwey[3] found
that bulk magnetite undergoes a transition at T$_{V}$ $\approx$ 120 K from a
high temperature "bad metal" conducting phase to a low-temperature insulating
phase. He suggested[4] that high temperature conduction is via the fluctuating
and correlated valences of the octahedral iron atoms, and that the transition
is the onset of charge ordering upon cooling. The Verwey transition mechanism
and the question of charge ordering remain highly controversial.[5-11] Here we
show that magnetite nanocrystals and single-crystal thin films exhibit an
electrically driven phase transition below the Verwey temperature. The
signature of this transition is the onset of sharp conductance switching in
high electric fields, hysteretic in voltage. We demonstrate that this
transition is not due to local heating, but instead is due to the breakdown of
the correlated insulating state when driven out of equilibrium by electrical
bias. We anticipate that further studies of this newly observed transition and
its low-temperature conducting phase will shed light on how charge ordering and
vibrational degrees of freedom determine the ground state of this important
compound.
| cond-mat.mtrl-sci cond-mat.str-el | magnetite fe_3o_4 an archetypal transition metal oxide has been used for thousands of years from lodestones in primitive compasses1 to a candidate material for magnetoelectronic devices2 in 1939 verwey3 found that bulk magnetite undergoes a transition at t_v approx 120 k from a high temperature bad metal conducting phase to a lowtemperature insulating phase he suggested4 that high temperature conduction is via the fluctuating and correlated valences of the octahedral iron atoms and that the transition is the onset of charge ordering upon cooling the verwey transition mechanism and the question of charge ordering remain highly controversial511 here we show that magnetite nanocrystals and singlecrystal thin films exhibit an electrically driven phase transition below the verwey temperature the signature of this transition is the onset of sharp conductance switching in high electric fields hysteretic in voltage we demonstrate that this transition is not due to local heating but instead is due to the breakdown of the correlated insulating state when driven out of equilibrium by electrical bias we anticipate that further studies of this newly observed transition and its lowtemperature conducting phase will shed light on how charge ordering and vibrational degrees of freedom determine the ground state of this important compound | [['magnetite', 'fe_3o_4', 'an', 'archetypal', 'transition', 'metal', 'oxide', 'has', 'been', 'used', 'for', 'thousands', 'of', 'years', 'from', 'lodestones', 'in', 'primitive', 'compasses1', 'to', 'a', 'candidate', 'material', 'for', 'magnetoelectronic', 'devices2', 'in', '1939', 'verwey3', 'found', 'that', 'bulk', 'magnetite', 'undergoes', 'a', 'transition', 'at', 't_v', 'approx', '120', 'k', 'from', 'a', 'high', 'temperature', 'bad', 'metal', 'conducting', 'phase', 'to', 'a', 'lowtemperature', 'insulating', 'phase', 'he', 'suggested4', 'that', 'high', 'temperature', 'conduction', 'is', 'via', 'the', 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711.187 | Bubbling Calabi-Yau geometry from matrix models | We study bubbling geometry in topological string theory. Specifically, we
analyse Chern-Simons theory on both the 3-sphere and lens spaces in the
presence of a Wilson loop insertion of an arbitrary representation. For each of
these three manifolds we formulate a multi-matrix model whose partition
function is the vev of the Wilson loop and compute the spectral curve. This
spectral curve is the reduction to two dimensions of the mirror to a Calabi-Yau
threefold which is the gravitational dual of the Wilson loop insertion. For
lens spaces the dual geometries are new. We comment on a similar matrix model
which appears in the context of Wilson loops in AdS/CFT.
| hep-th | we study bubbling geometry in topological string theory specifically we analyse chernsimons theory on both the 3sphere and lens spaces in the presence of a wilson loop insertion of an arbitrary representation for each of these three manifolds we formulate a multimatrix model whose partition function is the vev of the wilson loop and compute the spectral curve this spectral curve is the reduction to two dimensions of the mirror to a calabiyau threefold which is the gravitational dual of the wilson loop insertion for lens spaces the dual geometries are new we comment on a similar matrix model which appears in the context of wilson loops in adscft | [['we', 'study', 'bubbling', 'geometry', 'in', 'topological', 'string', 'theory', 'specifically', 'we', 'analyse', 'chernsimons', 'theory', 'on', 'both', 'the', '3sphere', 'and', 'lens', 'spaces', 'in', 'the', 'presence', 'of', 'a', 'wilson', 'loop', 'insertion', 'of', 'an', 'arbitrary', 'representation', 'for', 'each', 'of', 'these', 'three', 'manifolds', 'we', 'formulate', 'a', 'multimatrix', 'model', 'whose', 'partition', 'function', 'is', 'the', 'vev', 'of', 'the', 'wilson', 'loop', 'and', 'compute', 'the', 'spectral', 'curve', 'this', 'spectral', 'curve', 'is', 'the', 'reduction', 'to', 'two', 'dimensions', 'of', 'the', 'mirror', 'to', 'a', 'calabiyau', 'threefold', 'which', 'is', 'the', 'gravitational', 'dual', 'of', 'the', 'wilson', 'loop', 'insertion', 'for', 'lens', 'spaces', 'the', 'dual', 'geometries', 'are', 'new', 'we', 'comment', 'on', 'a', 'similar', 'matrix', 'model', 'which', 'appears', 'in', 'the', 'context', 'of', 'wilson', 'loops', 'in', 'adscft']] | [-0.17636516991866016, 0.1136965831612726, -0.09144838869041942, 0.1203828964728452, -0.06364096964307882, -0.13570925463503652, -0.0047616944659005745, 0.3598800569841074, -0.18423439389726984, -0.24343517022805478, 0.11604358709989748, -0.24617743789466148, -0.20900429817292532, 0.1252961673073197, -0.12174878031903998, 0.02584199630441742, -0.0009567419135379135, 0.053259448925836374, -0.14057935251418605, -0.25877621146175295, 0.404289984024651, -0.008818149929780751, 0.24965933681286256, 0.09173436333433888, 0.09784270161036573, 0.01575623968308535, -0.030843881723564972, 0.03255824171809839, -0.09718022470729887, 0.1919361879406155, 0.1743369466206486, 0.05415122379301065, 0.10242277393469996, -0.3823936556491557, -0.21290779173579238, 0.08962219801022235, 0.14433436087597537, 0.10250440086750741, 0.028597144978206365, -0.23148420586468602, 0.05508170860024904, -0.14780404544307277, -0.1372289018098846, -0.04069310533688639, -0.020973939984746344, -0.07753381960589541, -0.24319127466905555, -0.04269824822117156, -0.0017890782018593692, 0.0503734649466607, -0.052871951734040516, -0.05704446493460019, -0.031512384311458384, 0.11741645284714776, 0.05208893101491512, 0.07259289882948981, 0.09164120331235709, -0.18439293674774332, -0.15540502457174585, 0.3587176006526575, -0.07548197945622608, -0.2158834275473422, 0.10671130982184902, -0.16041176150971598, -0.1739528022509991, 0.09261953474076917, 0.14392229265302692, 0.16628864911863359, -0.09894914297950924, 0.1602573540016855, -0.07975028407836862, 0.11705632697483269, 0.1050154438302126, -0.006276908322075092, 0.25680417224440144, 0.08881947397331305, 0.05176025078794278, 0.198978290841872, -0.07631659430426059, -0.14583618803389814, -0.40262374671500756, -0.1953400260503959, -0.11715090140238951, 0.0865896568001342, -0.1877570645624682, -0.24783995607440626, 0.4155031187681977, 0.06817855441583953, 0.2259077243976842, 0.06340975048866362, 0.23809363600721054, 0.12741692185747958, 0.0683504768877948, 0.024930101866329754, 0.2023871131577751, 0.1708505528470621, 0.07767515575701217, -0.26812024121898986, -0.1284177508995518, 0.24223020434840967] |
711.1871 | Exploring the epsilon regime with twisted mass fermions | In this proceeding contribution we report on a first study in order to
explore the so called epsilon regime with Wilson twisted mass (Wtm) fermions.
To show the potential of this approach we give a preliminary determination of
the chiral condensate.
| hep-lat | in this proceeding contribution we report on a first study in order to explore the so called epsilon regime with wilson twisted mass wtm fermions to show the potential of this approach we give a preliminary determination of the chiral condensate | [['in', 'this', 'proceeding', 'contribution', 'we', 'report', 'on', 'a', 'first', 'study', 'in', 'order', 'to', 'explore', 'the', 'so', 'called', 'epsilon', 'regime', 'with', 'wilson', 'twisted', 'mass', 'wtm', 'fermions', 'to', 'show', 'the', 'potential', 'of', 'this', 'approach', 'we', 'give', 'a', 'preliminary', 'determination', 'of', 'the', 'chiral', 'condensate']] | [-0.1825081237205645, 0.14623784504989842, -0.0787693011551732, 0.013517745037949303, -0.04065179865716434, -0.05035633832307124, 0.09596679223383345, 0.36067399764206354, -0.18450602489273724, -0.27600308980156735, 0.036424670135602355, -0.24671630016187343, -0.1788339623840662, 0.08546042169739561, -0.02810916304588318, 0.013994549696401851, 0.05089268047453427, 0.04958666143257443, -0.08487016371474033, -0.21626310693327247, 0.3753771032774594, -0.0026642869158488946, 0.2168664553361695, 0.1697419790278484, 0.056288055246468724, -0.024940180490020572, -0.05342745253952538, -0.04159806916353906, -0.21413827973713234, 0.1060051411935469, 0.13758345073225295, -0.02204616521144422, 0.2159494471440955, -0.37082173945609387, -0.1506945982847999, 0.06394583536539136, 0.17381366793202555, 0.15898637441781963, -0.07242135493732171, -0.24877324232422723, 0.054592149831899785, -0.21043998395978677, -0.19589121685158917, -0.12246960694560917, -0.02479700083140193, -0.07577648118887914, -0.28468449359259956, 0.03634406628496036, 0.017023111352833305, 0.024742359976942945, -0.03222254167379039, -0.12201840661057248, 0.07261432716395796, 0.059550663138308174, 0.07444635817281357, 0.06451379163077146, 0.0727046752439403, -0.15581055234254496, -0.1120825626024204, 0.40322674406556097, -0.123092744150199, -0.152621247805655, 0.11234636720065481, -0.20787927516304502, -0.201915918894839, 0.039278543029490166, 0.22639222143263352, 0.15769288426537703, -0.12720270800154385, 0.06762795304743255, -0.07259874500152541, 0.15400231025102207, 0.017330240117522273, 0.006172805334577655, 0.22622027868268693, 0.2126539035632116, 0.04249978104106537, 0.19818761714211688, -0.07229288817928513, -0.06676976650771571, -0.34375020352805535, -0.18304311154728256, -0.1497157018904279, 0.06886205754083831, 0.0013064646684541935, -0.20057968620392608, 0.413475412148528, 0.24384046579915575, 0.26135351222644493, 0.06544645763252203, 0.280256985391422, 0.1123040575610769, 0.03574437964934765, 0.014794750593420936, 0.29190964957063154, 0.11814336617272801, 0.12312677740005822, -0.27473317513742096, -0.0715986667200923, 0.13892430485021778] |
711.1872 | Ultrahigh Energy Cosmic Rays and Neutrinos | We discuss the relation between the highest energy cosmic rays
(UHECR) and UHE neutrinos. The neutrinos produced in the sources of optically
thin astrophysical sources have been linked to the UHECR emissivity of the
Universe. The fluxes of cosmogenic neutrinos, generated in propagation by
UHECR, also reflect the acceleration of these particles, the maximum
acceleration energy, and the cosmological evolution of their sources.
| astro-ph | we discuss the relation between the highest energy cosmic rays uhecr and uhe neutrinos the neutrinos produced in the sources of optically thin astrophysical sources have been linked to the uhecr emissivity of the universe the fluxes of cosmogenic neutrinos generated in propagation by uhecr also reflect the acceleration of these particles the maximum acceleration energy and the cosmological evolution of their sources | [['we', 'discuss', 'the', 'relation', 'between', 'the', 'highest', 'energy', 'cosmic', 'rays', 'uhecr', 'and', 'uhe', 'neutrinos', 'the', 'neutrinos', 'produced', 'in', 'the', 'sources', 'of', 'optically', 'thin', 'astrophysical', 'sources', 'have', 'been', 'linked', 'to', 'the', 'uhecr', 'emissivity', 'of', 'the', 'universe', 'the', 'fluxes', 'of', 'cosmogenic', 'neutrinos', 'generated', 'in', 'propagation', 'by', 'uhecr', 'also', 'reflect', 'the', 'acceleration', 'of', 'these', 'particles', 'the', 'maximum', 'acceleration', 'energy', 'and', 'the', 'cosmological', 'evolution', 'of', 'their', 'sources']] | [-0.07535778875240967, 0.31785679178401116, -0.02209170377029786, 0.24709731075055305, -0.058287515881515685, 0.058387661685368845, -0.001117028473388581, 0.4341081832018163, -0.23195496834592805, -0.36719135549806414, -0.06487299078735449, -0.3586921351148732, 0.10003056499870523, 0.2073285464079134, 0.09434433609601997, -0.04454757209630713, 0.021692403873044348, -0.044047202530597886, 0.03731942524216951, -0.23191166722348758, 0.3088257816354079, 0.2967236956197118, 0.25314688880646985, 0.05332396414670502, 0.15699025876228773, -0.14897412582788438, -0.12664296915606846, -0.08684985188856012, -0.09834452468665346, 0.09502921022459983, 0.1812272932350872, 0.16569062086960507, 0.09284520613413955, -0.44809714349962415, -0.307599839266567, 0.21787154199999004, 0.15248023592756085, 0.03551078299503951, -0.12163986759408126, -0.30516209080815315, 0.04207500623213866, -0.17113969968779694, -0.15121280971086687, 0.12128685574446406, -0.09177135313964552, 0.11226175140057292, -0.1230805667813882, 0.10176422996474208, -0.03125050472047564, -0.0444954823525179, -0.13124334132150997, -0.10010543465614319, 0.00041426723409030173, 0.06970178777913726, 0.2203164023036758, -0.07413352257202542, 0.19786539582890414, -0.16610009453835942, -0.11121814765982212, 0.43499321834967725, -0.050969853132431, -0.08312388008371704, 0.12652371998225886, -0.20086016288047495, -0.1622427756646796, 0.18720125034821058, 0.17337537403144535, 0.06549829939409854, -0.20070139930716582, 0.08607777043445301, 0.02295325080760651, 0.09487175453631651, 0.09543126206549388, 0.03392201665020178, 0.3551761366663471, 0.1170991635068305, 0.06644302468732118, -0.004768743031909542, -0.21594929754260986, 0.0851324252222502, -0.3467954826422982, -0.1426236912578581, -0.17026937630264058, 0.14093279622546914, -0.15335062966591473, -0.14274562463360202, 0.42141465931421235, 0.1595119514635631, 0.12154384963362226, -0.05298751224541948, 0.2627558818471337, 0.04208551486214948, -0.03861552833150777, 0.16212002081530436, 0.40127915309535134, 0.15950508178063919, 0.12667242933959988, -0.2612028069025467, 0.05246011033979437, 0.016835465820299253] |
711.1873 | Musical Actions of Dihedral Groups | The sequence of pitches which form a musical melody can be transposed or
inverted. Since the 1970s, music theorists have modeled musical transposition
and inversion in terms of an action of the dihedral group of order 24. More
recently music theorists have found an intriguing second way that the dihedral
group of order 24 acts on the set of major and minor chords. We illustrate both
geometrically and algebraically how these two actions are {\it dual}. Both
actions and their duality have been used to analyze works of music as diverse
as Hindemith and the Beatles.
| math.GR math.AT | the sequence of pitches which form a musical melody can be transposed or inverted since the 1970s music theorists have modeled musical transposition and inversion in terms of an action of the dihedral group of order 24 more recently music theorists have found an intriguing second way that the dihedral group of order 24 acts on the set of major and minor chords we illustrate both geometrically and algebraically how these two actions are it dual both actions and their duality have been used to analyze works of music as diverse as hindemith and the beatles | [['the', 'sequence', 'of', 'pitches', 'which', 'form', 'a', 'musical', 'melody', 'can', 'be', 'transposed', 'or', 'inverted', 'since', 'the', '1970s', 'music', 'theorists', 'have', 'modeled', 'musical', 'transposition', 'and', 'inversion', 'in', 'terms', 'of', 'an', 'action', 'of', 'the', 'dihedral', 'group', 'of', 'order', '24', 'more', 'recently', 'music', 'theorists', 'have', 'found', 'an', 'intriguing', 'second', 'way', 'that', 'the', 'dihedral', 'group', 'of', 'order', '24', 'acts', 'on', 'the', 'set', 'of', 'major', 'and', 'minor', 'chords', 'we', 'illustrate', 'both', 'geometrically', 'and', 'algebraically', 'how', 'these', 'two', 'actions', 'are', 'it', 'dual', 'both', 'actions', 'and', 'their', 'duality', 'have', 'been', 'used', 'to', 'analyze', 'works', 'of', 'music', 'as', 'diverse', 'as', 'hindemith', 'and', 'the', 'beatles']] | [-0.09616258571375201, 0.14770838210360454, -0.1045989442240209, 0.08817323334911402, -0.11265629545805302, -0.11119470834989656, -0.04436979374347968, 0.4235135775079277, -0.2824428048222623, -0.36308592629242453, 0.1536616621244243, -0.26718902358527674, -0.2295483852008437, 0.17821245397530258, -0.09219443677562943, 0.01103893939301649, -0.005176965863087234, 0.1177451272812137, -0.05324864281747649, -0.2802660965380516, 0.2862110136874377, 0.018528643158323903, 0.23505235894365198, -0.015991299512221457, 0.09249835317716637, -0.031556798551390146, -0.06636369524602877, -0.005143138768270295, -0.05432025957402112, 0.12358070300654211, 0.2921936220311104, 0.1215902008438245, 0.24689245069439106, -0.429803793972477, -0.15301342294155124, 0.10003501164944882, 0.15932116812426952, 0.059058302799190214, -0.0622938318282398, -0.31058200793538954, 0.08358386749998627, -0.20495197850686964, -0.05041980360476102, -0.09376303703979925, 0.034031097876264696, 0.007616799057243352, -0.1618830532856048, -0.02608575342480648, 0.09128565138126625, 0.1204728803874806, 0.002672218093450399, -0.13486092742730646, -0.04858809158929247, 0.2683465190385369, 0.10313726624751345, 0.051445744498236544, 0.07657345144841027, -0.10022093745770845, -0.1690673234555474, 0.42407558741483914, -0.043240986568754185, -0.178469285536576, 0.18640314736106295, -0.09921885153248985, -0.11909908846397191, 0.08584231482026108, 0.1551213874778849, 0.12254512042520528, -0.1074395077080129, 0.03732894410247954, -0.11176846410207292, 0.1635571213716522, 0.13197858718303132, 0.0058925747623706755, 0.22004673067242542, 0.09094286442516332, 0.019578703612267497, 0.10881332013671821, -0.02753155690152198, -0.06765252226428624, -0.2446253049643116, -0.15627596793607115, -0.11502127616884227, 0.0294498597950417, -0.08735191084904612, -0.1602067273664982, 0.4146752238565897, 0.09431317683923593, 0.15583670152935813, 0.023279023039302703, 0.21620404417131175, 0.07207556989956078, 0.1091330691334851, 0.0064284335673251685, 0.1581169608485033, 0.1412564573135782, 0.02252432846642555, -0.18616972473218413, 0.07191950512772545, 0.09927480835269423] |
711.1874 | Dated ancestral trees from binary trait data and its application to the
diversification of languages | Binary trait data record the presence or absence of distinguishing traits in
individuals. We treat the problem of estimating ancestral trees with time depth
from binary trait data. Simple analysis of such data is problematic. Each
homology class of traits has a unique birth event on the tree, and the birth
event of a trait visible at the leaves is biased towards the leaves. We propose
a model-based analysis of such data, and present an MCMC algorithm that can
sample from the resulting posterior distribution. Our model is based on using a
birth-death process for the evolution of the elements of sets of traits. Our
analysis correctly accounts for the removal of singleton traits, which are
commonly discarded in real data sets. We illustrate Bayesian inference for two
binary-trait data sets which arise in historical linguistics. The Bayesian
approach allows for the incorporation of information from ancestral languages.
The marginal prior distribution of the root time is uniform. We present a
thorough analysis of the robustness of our results to model mispecification,
through analysis of predictive distributions for external data, and fitting
data simulated under alternative observation models. The reconstructed ages of
tree nodes are relatively robust, whilst posterior probabilities for topology
are not reliable.
| stat.ME stat.AP | binary trait data record the presence or absence of distinguishing traits in individuals we treat the problem of estimating ancestral trees with time depth from binary trait data simple analysis of such data is problematic each homology class of traits has a unique birth event on the tree and the birth event of a trait visible at the leaves is biased towards the leaves we propose a modelbased analysis of such data and present an mcmc algorithm that can sample from the resulting posterior distribution our model is based on using a birthdeath process for the evolution of the elements of sets of traits our analysis correctly accounts for the removal of singleton traits which are commonly discarded in real data sets we illustrate bayesian inference for two binarytrait data sets which arise in historical linguistics the bayesian approach allows for the incorporation of information from ancestral languages the marginal prior distribution of the root time is uniform we present a thorough analysis of the robustness of our results to model mispecification through analysis of predictive distributions for external data and fitting data simulated under alternative observation models the reconstructed ages of tree nodes are relatively robust whilst posterior probabilities for topology are not reliable | [['binary', 'trait', 'data', 'record', 'the', 'presence', 'or', 'absence', 'of', 'distinguishing', 'traits', 'in', 'individuals', 'we', 'treat', 'the', 'problem', 'of', 'estimating', 'ancestral', 'trees', 'with', 'time', 'depth', 'from', 'binary', 'trait', 'data', 'simple', 'analysis', 'of', 'such', 'data', 'is', 'problematic', 'each', 'homology', 'class', 'of', 'traits', 'has', 'a', 'unique', 'birth', 'event', 'on', 'the', 'tree', 'and', 'the', 'birth', 'event', 'of', 'a', 'trait', 'visible', 'at', 'the', 'leaves', 'is', 'biased', 'towards', 'the', 'leaves', 'we', 'propose', 'a', 'modelbased', 'analysis', 'of', 'such', 'data', 'and', 'present', 'an', 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711.1875 | Random walk approach to the d-dimensional disordered Lorentz gas | A correlated random walk approach to diffusion is applied to the disordered
nonoverlapping Lorentz gas. By invoking the Lu-Torquato theory for chord-length
distributions in random media [J. Chem. Phys. 98, 6472 (1993)], an analytic
expression for the diffusion constant in arbitrary number of dimensions d is
obtained. The result corresponds to an Enskog-like correction to the Boltzmann
prediction, being exact in the dilute limit, and better or nearly exact in
comparison to renormalized kinetic theory predictions for all allowed densities
in d=2,3. Extensive numerical simulations were also performed to elucidate the
role of the approximations involved.
| cond-mat.stat-mech | a correlated random walk approach to diffusion is applied to the disordered nonoverlapping lorentz gas by invoking the lutorquato theory for chordlength distributions in random media j chem phys 98 6472 1993 an analytic expression for the diffusion constant in arbitrary number of dimensions d is obtained the result corresponds to an enskoglike correction to the boltzmann prediction being exact in the dilute limit and better or nearly exact in comparison to renormalized kinetic theory predictions for all allowed densities in d23 extensive numerical simulations were also performed to elucidate the role of the approximations involved | [['a', 'correlated', 'random', 'walk', 'approach', 'to', 'diffusion', 'is', 'applied', 'to', 'the', 'disordered', 'nonoverlapping', 'lorentz', 'gas', 'by', 'invoking', 'the', 'lutorquato', 'theory', 'for', 'chordlength', 'distributions', 'in', 'random', 'media', 'j', 'chem', 'phys', '98', '6472', '1993', 'an', 'analytic', 'expression', 'for', 'the', 'diffusion', 'constant', 'in', 'arbitrary', 'number', 'of', 'dimensions', 'd', 'is', 'obtained', 'the', 'result', 'corresponds', 'to', 'an', 'enskoglike', 'correction', 'to', 'the', 'boltzmann', 'prediction', 'being', 'exact', 'in', 'the', 'dilute', 'limit', 'and', 'better', 'or', 'nearly', 'exact', 'in', 'comparison', 'to', 'renormalized', 'kinetic', 'theory', 'predictions', 'for', 'all', 'allowed', 'densities', 'in', 'd23', 'extensive', 'numerical', 'simulations', 'were', 'also', 'performed', 'to', 'elucidate', 'the', 'role', 'of', 'the', 'approximations', 'involved']] | [-0.077445084321377, 0.12735133771468796, -0.05046440377345982, 0.043946265572424426, -0.017103753721420752, -0.12442112628350709, 0.052406029884723274, 0.3548111311913012, -0.1843272670806247, -0.30134738199388056, 0.02133986461248764, -0.2805794852171489, -0.10108414724558354, 0.1547609717917054, -0.004620067037126803, 0.08595914586863303, 0.00244581415020722, 0.0011614811212874632, -0.06246861847157174, -0.252373761210115, 0.20248477118079888, 0.10373956803232431, 0.28253919747069806, 0.04028266451836742, 0.06301767008745686, 0.03726433716687136, -0.06696303828403928, 0.03244612453396412, -0.19497557021083034, 0.09141376692841345, 0.21839813451143972, -0.020333567753117135, 0.23938894388265908, -0.4342195888228239, -0.246254943737245, 0.07051663837417901, 0.14330618929593486, 0.14639131972526617, 0.022492540063970584, -0.27138686924182037, 0.0457620964041277, -0.1697874859178518, -0.18919591756755524, -0.10209075066736563, 0.08249219896165318, -0.004686993894791429, -0.33643997216874616, 0.16461885091631942, 0.021237055008160942, 0.034718252317187316, -0.06413411611859549, -0.10871574029504777, 0.023598004746785823, 0.1031064273123233, 0.031345653768747726, 0.05560098506728227, 0.09294114280690222, -0.12152718210919819, -0.0952980114813359, 0.37404501616479235, -0.08028697956135457, -0.2438453597318817, 0.21192815363843073, -0.1412975583027335, -0.11230505201371109, 0.1787664534207037, 0.1362176316968621, 0.12122967012939935, -0.16926801769914937, 0.11654912403901108, -0.05656001552879969, 0.11498154724943155, 0.07298703633367698, -0.048111050977008456, 0.12119408020690242, 0.10500151073025103, -0.004819804619244756, 0.09695222731580601, -0.05289460585744893, -0.18259200850065718, -0.2797005685254377, -0.1345140521409624, -0.23519647729885268, 0.09996781842485863, -0.10801710706049987, -0.16143924715195565, 0.30239999779757665, 0.1685145888403256, 0.19100974210874833, 0.05734820198267698, 0.22732958079692214, 0.11979124389410495, -0.03287922355168043, 0.10837425589078463, 0.2170532004557243, 0.20483933425349918, 0.08008839968255067, -0.2100711711781456, 0.02041311936076493, 0.11602112871317312] |
711.1876 | Goal-Oriented Adaptive Mesh Refinement for the Quasicontinuum
Approximation of a Frenkel-Kontorova Model | The quasicontinuum approximation is a method to reduce the atomistic degrees
of freedom of a crystalline solid by piecewise linear interpolation from
representative atoms that are nodes for a finite element triangulation. In
regions of the crystal with a highly nonuniform deformation such as around
defects, every atom must be a representative atom to obtain sufficient
accuracy, but the mesh can be coarsened away from such regions to remove
atomistic degrees of freedom while retaining sufficient accuracy. We present an
error estimator and a related adaptive mesh refinement algorithm for the
quasicontinuum approximation of a generalized Frenkel-Kontorova model that
enables a quantity of interest to be efficiently computed to a predetermined
accuracy.
| math.NA math-ph math.MP | the quasicontinuum approximation is a method to reduce the atomistic degrees of freedom of a crystalline solid by piecewise linear interpolation from representative atoms that are nodes for a finite element triangulation in regions of the crystal with a highly nonuniform deformation such as around defects every atom must be a representative atom to obtain sufficient accuracy but the mesh can be coarsened away from such regions to remove atomistic degrees of freedom while retaining sufficient accuracy we present an error estimator and a related adaptive mesh refinement algorithm for the quasicontinuum approximation of a generalized frenkelkontorova model that enables a quantity of interest to be efficiently computed to a predetermined accuracy | [['the', 'quasicontinuum', 'approximation', 'is', 'a', 'method', 'to', 'reduce', 'the', 'atomistic', 'degrees', 'of', 'freedom', 'of', 'a', 'crystalline', 'solid', 'by', 'piecewise', 'linear', 'interpolation', 'from', 'representative', 'atoms', 'that', 'are', 'nodes', 'for', 'a', 'finite', 'element', 'triangulation', 'in', 'regions', 'of', 'the', 'crystal', 'with', 'a', 'highly', 'nonuniform', 'deformation', 'such', 'as', 'around', 'defects', 'every', 'atom', 'must', 'be', 'a', 'representative', 'atom', 'to', 'obtain', 'sufficient', 'accuracy', 'but', 'the', 'mesh', 'can', 'be', 'coarsened', 'away', 'from', 'such', 'regions', 'to', 'remove', 'atomistic', 'degrees', 'of', 'freedom', 'while', 'retaining', 'sufficient', 'accuracy', 'we', 'present', 'an', 'error', 'estimator', 'and', 'a', 'related', 'adaptive', 'mesh', 'refinement', 'algorithm', 'for', 'the', 'quasicontinuum', 'approximation', 'of', 'a', 'generalized', 'frenkelkontorova', 'model', 'that', 'enables', 'a', 'quantity', 'of', 'interest', 'to', 'be', 'efficiently', 'computed', 'to', 'a', 'predetermined', 'accuracy']] | [-0.07851173333931781, 0.09385421864356301, -0.08613476405818281, 0.015412966414130227, -0.0419755356935119, -0.14401266550495556, 0.09438346541927396, 0.3950377143919468, -0.30300775399830726, -0.29892462358943056, 0.08080312677754721, -0.24391423050214403, -0.09318063087994233, 0.1157386472685695, -0.07236396415724552, 0.07417832809941112, 0.08753057756569303, -0.0014945712007050002, -0.08900658718110728, -0.22787626779089415, 0.21605048933166213, 0.08961940503857997, 0.2271503718553244, 0.016120326476604014, 0.14789837349339255, -0.03397838386341131, 0.05190160745405592, 0.08194306644872995, -0.12103685865609545, 0.1363869045328881, 0.27077951753485, 0.04087449288428096, 0.28912711187565165, -0.4245198507672155, -0.2539543577752608, 0.06607418071611651, 0.15567714245740458, 0.1852634068948516, -0.027814950860504593, -0.24764522281475365, 0.10289195639156137, -0.1392422274137581, -0.17221380558580027, -0.12600491073681042, -0.04363683719254498, 0.04194311610055073, -0.3342499809160862, 0.06181720996184075, 0.026879258959525032, 0.08093709343977805, -0.032446381051808464, -0.08290030367165205, -0.03963300894663137, 0.08908836017196466, -0.05776329998272039, 0.06565527816253182, 0.12959267053052567, -0.09707906418978902, -0.06884734613413457, 0.4434324880962127, -0.020301332356341715, -0.29041780615391743, 0.16183142603508063, -0.08544505298154295, -0.10249802869553346, 0.20151850045658648, 0.18132165459714347, 0.12448307215670086, -0.13058293140992255, 0.07897772293706241, -0.015650768658295938, 0.21372149913180952, 0.08007396366467999, 0.032305956730851904, 0.1721151149499097, 0.15755220871817852, 0.1222428193432279, 0.1594900723898068, -0.09628703221096657, -0.08368718196288683, -0.29812309410148635, -0.15274554343029326, -0.24815771405701526, -0.0033241785962932874, -0.15513475342790375, -0.22017086155892684, 0.3815441564656794, 0.11694688731014528, 0.15554987393053515, 0.02170271858007514, 0.27190612263179254, 0.07789261719569497, 0.07681923434470914, 0.07334439853522261, 0.19288487940294935, 0.13575084123502684, -0.011943265078506167, -0.20867567457649525, 0.06060877669993455, 0.1308658081273149] |
711.1877 | Global effects of local sound-speed perturbations in the Sun: A
theoretical study | We study the effect of localized sound-speed perturbations on global mode
frequencies by applying techniques of global helioseismology on numerical
simulations of the solar acoustic wave field. Extending the method of
realization noise subtraction (e.g. Hanasoge et al. 2007) to global modes and
exploiting the luxury of full spherical coverage, we are able to achieve very
highly resolved frequency differences that are used to study sensitivities and
the signatures of the thermal asphericities. We find that (1) global modes are
almost twice as sensitive to sound-speed perturbations at the bottom of the
convection zone as in comparison to anomalies well in the radiative interior
($r\lesssim0.55 R_\odot$), (2) the $m$-degeneracy is lifted ever so slightly,
as seen in the $a$ coefficients, and (3) modes that propagate in the vicinity
of the perturbations show small amplitude shifts ($\sim 0.5%$).
| astro-ph | we study the effect of localized soundspeed perturbations on global mode frequencies by applying techniques of global helioseismology on numerical simulations of the solar acoustic wave field extending the method of realization noise subtraction eg hanasoge et al 2007 to global modes and exploiting the luxury of full spherical coverage we are able to achieve very highly resolved frequency differences that are used to study sensitivities and the signatures of the thermal asphericities we find that 1 global modes are almost twice as sensitive to soundspeed perturbations at the bottom of the convection zone as in comparison to anomalies well in the radiative interior rlesssim055 r_odot 2 the mdegeneracy is lifted ever so slightly as seen in the a coefficients and 3 modes that propagate in the vicinity of the perturbations show small amplitude shifts sim 05 | [['we', 'study', 'the', 'effect', 'of', 'localized', 'soundspeed', 'perturbations', 'on', 'global', 'mode', 'frequencies', 'by', 'applying', 'techniques', 'of', 'global', 'helioseismology', 'on', 'numerical', 'simulations', 'of', 'the', 'solar', 'acoustic', 'wave', 'field', 'extending', 'the', 'method', 'of', 'realization', 'noise', 'subtraction', 'eg', 'hanasoge', 'et', 'al', '2007', 'to', 'global', 'modes', 'and', 'exploiting', 'the', 'luxury', 'of', 'full', 'spherical', 'coverage', 'we', 'are', 'able', 'to', 'achieve', 'very', 'highly', 'resolved', 'frequency', 'differences', 'that', 'are', 'used', 'to', 'study', 'sensitivities', 'and', 'the', 'signatures', 'of', 'the', 'thermal', 'asphericities', 'we', 'find', 'that', '1', 'global', 'modes', 'are', 'almost', 'twice', 'as', 'sensitive', 'to', 'soundspeed', 'perturbations', 'at', 'the', 'bottom', 'of', 'the', 'convection', 'zone', 'as', 'in', 'comparison', 'to', 'anomalies', 'well', 'in', 'the', 'radiative', 'interior', 'rlesssim055', 'r_odot', '2', 'the', 'mdegeneracy', 'is', 'lifted', 'ever', 'so', 'slightly', 'as', 'seen', 'in', 'the', 'a', 'coefficients', 'and', '3', 'modes', 'that', 'propagate', 'in', 'the', 'vicinity', 'of', 'the', 'perturbations', 'show', 'small', 'amplitude', 'shifts', 'sim', '05']] | [-0.11995045005654295, 0.13810351890408332, -0.03468049538097586, 0.07395092666028412, -0.051060026818541465, -0.03712737613737031, 0.03335207912993307, 0.3484893408362512, -0.2472421301252864, -0.32715923203914254, 0.14353631932840302, -0.2840059848847213, -0.13437966290447448, 0.1992396657066247, -0.023374418131748422, 0.02928012559638807, 0.059599288507295706, -0.013094109957347866, -0.06625308382186901, -0.15748017268186365, 0.2812766384609319, 0.10715146934337638, 0.2491630208299116, 0.0061243467032909395, 0.02799368083597747, -0.07169470948951871, -0.05240763342352929, 0.029609595122747124, -0.13294594764134943, 0.043207912422992566, 0.21344268251203985, 0.06536606760712824, 0.21602835524137373, -0.4422610733968516, -0.23598951708387444, 0.06602930099254957, 0.15622261616571687, 0.12927576669802268, -0.02237166898428566, -0.2693616790524511, 0.09407244750591753, -0.11597854844208255, -0.16375576783040607, -0.07155019596770958, 0.016135672018518326, -0.0140062494099968, -0.2844228115019009, 0.12366985303427404, 0.039299116163790504, 0.0663169320746049, -0.06574466226070567, -0.102684091138481, -0.09266318065304033, 0.11958260958824583, 0.06876283172621495, 0.0234949053310427, 0.13816861255542823, -0.08869701340725576, -0.05819431418311541, 0.36883585104994754, -0.1315005246894779, -0.14807931391729248, 0.20133651816976014, -0.19389340215948997, -0.07094737669384038, 0.15380982736263563, 0.18484121352020239, 0.10633050982012517, -0.06869884129587768, 0.0451222645381845, 0.00735528075181517, 0.17220485895975596, 0.13137677480570145, 0.04397976955881825, 0.2134208717025575, 0.12107257948912405, 0.07170513302639679, 0.06937743701661626, -0.17371168285953226, -0.03263638851413917, -0.2693138645668687, -0.06363567645075145, -0.14987966135484856, 0.002899669615564764, -0.05861107724582932, -0.14989851339616708, 0.4295713550437035, 0.16437872048053476, 0.1973590114981764, 0.024726488044554438, 0.30553189811331255, 0.10967120562455858, 0.07957643936215728, 0.11502058487730446, 0.3464972308362593, 0.17162056174301715, 0.12089859994680241, -0.24238645234576392, -0.00777239172840146, 0.017591946690205345] |
711.1878 | Enhanced low energy fusion rate in palladium (Pd) due to vibrational
deuteron dipole-dipole interactions and associated resonant tunneling that
over-cancels the Jastrow factor between deuteron pair wavefunctions | We show that interstitial hydrogen nucleii on a metallic lattice are strongly
coupled to their near neighbours by the unscreened electromagnetic field
mediating transitions between low-lying states. We then show that in
almost-stoichiometric PdD clusters, in which most interstitial sites are
occupied by a deuteron, certain specific superpositions of many-site product
states exist that are lower in energy than the single-site ground state,
suggesting the existence of a new low temperature phase. The modified behaviour
of the two-particle wavefunction at small separations is investigated and
prelimary results suggesting an over-canceling of the effective Coulomb barrier
are presented.
| cond-mat.other | we show that interstitial hydrogen nucleii on a metallic lattice are strongly coupled to their near neighbours by the unscreened electromagnetic field mediating transitions between lowlying states we then show that in almoststoichiometric pdd clusters in which most interstitial sites are occupied by a deuteron certain specific superpositions of manysite product states exist that are lower in energy than the singlesite ground state suggesting the existence of a new low temperature phase the modified behaviour of the twoparticle wavefunction at small separations is investigated and prelimary results suggesting an overcanceling of the effective coulomb barrier are presented | [['we', 'show', 'that', 'interstitial', 'hydrogen', 'nucleii', 'on', 'a', 'metallic', 'lattice', 'are', 'strongly', 'coupled', 'to', 'their', 'near', 'neighbours', 'by', 'the', 'unscreened', 'electromagnetic', 'field', 'mediating', 'transitions', 'between', 'lowlying', 'states', 'we', 'then', 'show', 'that', 'in', 'almoststoichiometric', 'pdd', 'clusters', 'in', 'which', 'most', 'interstitial', 'sites', 'are', 'occupied', 'by', 'a', 'deuteron', 'certain', 'specific', 'superpositions', 'of', 'manysite', 'product', 'states', 'exist', 'that', 'are', 'lower', 'in', 'energy', 'than', 'the', 'singlesite', 'ground', 'state', 'suggesting', 'the', 'existence', 'of', 'a', 'new', 'low', 'temperature', 'phase', 'the', 'modified', 'behaviour', 'of', 'the', 'twoparticle', 'wavefunction', 'at', 'small', 'separations', 'is', 'investigated', 'and', 'prelimary', 'results', 'suggesting', 'an', 'overcanceling', 'of', 'the', 'effective', 'coulomb', 'barrier', 'are', 'presented']] | [-0.15094253344540584, 0.2678644607759123, -0.014475159446134213, 0.09029048930561329, 0.03316041534120078, -0.12213944353440657, 0.07332730254633947, 0.39252083749569794, -0.20241302124625865, -0.26023431327392127, -0.011187352184354862, -0.33226541413905775, -0.09566072608403703, 0.11325235276463184, 0.08500975649803877, -0.04316290916447426, 0.04910451781123559, 0.03512787330459724, -0.07536868813219777, -0.2085420628613297, 0.33788965624618406, 0.037588539528363246, 0.2729445790198255, 0.11762395797872004, 0.024997429902407716, -0.0009641561860297906, 0.09921331382653814, 0.024627690946564397, -0.12149790582174938, 0.06967284797707528, 0.23942197439201335, -0.001656984292376945, 0.23497323341112822, -0.4575724553594247, -0.16752220351066927, 0.059038049858459764, 0.15454868850684625, 0.17176106883624093, -0.07650613906097281, -0.313402830979767, 0.040526062468106444, -0.14491150542063283, -0.14612230579269694, -0.09386437770197208, 0.022209912284643963, 0.05629267373637475, -0.2216719275023392, 0.13086678385282519, 0.007647792434696346, 0.030701567121642702, -0.13216997324142288, -0.16404967094731934, -0.08612690391910678, 0.07852271378060129, 0.004482667514202284, 0.02621147770712033, 0.14741274896275966, -0.14444665960593525, -0.07032976701776399, 0.3474362580937908, -0.031839307029316685, -0.13009440448095508, 0.2148397354845037, -0.182184352720295, -0.09308060792651265, 0.18350538895762664, 0.10454559039839721, 0.11801101752814461, -0.1289172531700039, 0.05258798151880136, -0.017667923033475242, 0.16227478593429354, 0.06229858024620471, 0.07661140215226468, 0.22468186886188515, 0.12438274866980599, 0.07545247981126638, 0.12660544833534973, -0.08425777750535611, -0.1366796206009198, -0.26414382281376325, -0.14639222323200962, -0.2364668497726559, 0.020570509393322976, -0.06343531441234518, -0.18733017411122613, 0.35692771509731874, 0.0895647110463618, 0.19719306858841013, -0.042654364215002016, 0.20059598887220342, 0.12000726030624294, 0.05470756662048479, 0.07869099058641835, 0.285322859675247, 0.12363010969586848, 0.021184454924684574, -0.26992267279259047, 0.03034103035609773, 0.05029562500582889] |
711.1879 | Area, ladder symmetry, degeneracy and fluctuations of a horizon | Loop quantum gravity admits a kind of area quantization that is characterized
by three quantum numbers. We show the complete spectrum of area is the union of
equidistant subsets and a universal reformulation with fewer parameters is
possible. Associated with any area there is also another number that determines
its degeneracy. One application is that a quantum horizon manifests harmonic
modes in vacuum fluctuations. It is discussed the physical fluctuations of a
space-time horizon should include all the excluded area eigenvalues, where
quantum amplification effect occurs. Due to this effect the uniformity of
transition matrix elements between near levels could be assumed. Based on
these, a modification to the previous method of analyzing the radiance
intensities in hep-th/0607081 is presented that makes the result one step
further precise. A few of harmonic modes appear to be extremely amplified on
top of the Hawking's radiation. They are expected to form a few brightest lines
with the wavelength not larger than the black hole size.
| hep-th gr-qc | loop quantum gravity admits a kind of area quantization that is characterized by three quantum numbers we show the complete spectrum of area is the union of equidistant subsets and a universal reformulation with fewer parameters is possible associated with any area there is also another number that determines its degeneracy one application is that a quantum horizon manifests harmonic modes in vacuum fluctuations it is discussed the physical fluctuations of a spacetime horizon should include all the excluded area eigenvalues where quantum amplification effect occurs due to this effect the uniformity of transition matrix elements between near levels could be assumed based on these a modification to the previous method of analyzing the radiance intensities in hepth0607081 is presented that makes the result one step further precise a few of harmonic modes appear to be extremely amplified on top of the hawkings radiation they are expected to form a few brightest lines with the wavelength not larger than the black hole size | [['loop', 'quantum', 'gravity', 'admits', 'a', 'kind', 'of', 'area', 'quantization', 'that', 'is', 'characterized', 'by', 'three', 'quantum', 'numbers', 'we', 'show', 'the', 'complete', 'spectrum', 'of', 'area', 'is', 'the', 'union', 'of', 'equidistant', 'subsets', 'and', 'a', 'universal', 'reformulation', 'with', 'fewer', 'parameters', 'is', 'possible', 'associated', 'with', 'any', 'area', 'there', 'is', 'also', 'another', 'number', 'that', 'determines', 'its', 'degeneracy', 'one', 'application', 'is', 'that', 'a', 'quantum', 'horizon', 'manifests', 'harmonic', 'modes', 'in', 'vacuum', 'fluctuations', 'it', 'is', 'discussed', 'the', 'physical', 'fluctuations', 'of', 'a', 'spacetime', 'horizon', 'should', 'include', 'all', 'the', 'excluded', 'area', 'eigenvalues', 'where', 'quantum', 'amplification', 'effect', 'occurs', 'due', 'to', 'this', 'effect', 'the', 'uniformity', 'of', 'transition', 'matrix', 'elements', 'between', 'near', 'levels', 'could', 'be', 'assumed', 'based', 'on', 'these', 'a', 'modification', 'to', 'the', 'previous', 'method', 'of', 'analyzing', 'the', 'radiance', 'intensities', 'in', 'hepth0607081', 'is', 'presented', 'that', 'makes', 'the', 'result', 'one', 'step', 'further', 'precise', 'a', 'few', 'of', 'harmonic', 'modes', 'appear', 'to', 'be', 'extremely', 'amplified', 'on', 'top', 'of', 'the', 'hawkings', 'radiation', 'they', 'are', 'expected', 'to', 'form', 'a', 'few', 'brightest', 'lines', 'with', 'the', 'wavelength', 'not', 'larger', 'than', 'the', 'black', 'hole', 'size']] | [-0.16779677271498022, 0.17979143680372264, -0.0734893748720671, 0.07778410607859791, -0.07661519941793364, -0.12983122091441426, 0.023430222548389185, 0.3376875393851488, -0.2179710021512698, -0.28152121017675524, 0.09637289355368135, -0.29810016813262563, -0.11463782453857776, 0.22895195237993274, -0.07434012457429442, 0.009694287236880534, 0.03474850359410162, 0.07362483992862205, -0.04130034790234928, -0.22310184414303044, 0.31915781035714635, 0.08037992857431096, 0.2630865147659256, 0.05000498189222941, 0.07940958056276963, -0.039807816633931646, 0.01393163407129454, 0.06724825618144722, -0.08910244306851967, 0.0865791567527965, 0.22705213592030585, 0.09026520210821297, 0.2593594214614527, -0.3815404738380033, -0.21335992291224776, 0.11221091172450946, 0.12970548797755238, 0.13187694455637816, -0.032646532194907374, -0.22794415752897845, 0.0752956437911367, -0.13136903570539513, -0.15822012744912947, -0.014212588344148739, 0.03143110965309596, -0.058709494988031595, -0.22072488735401197, 0.0704436122055703, 0.060456680248916886, 0.012967972395320734, -0.0027354619369474183, -0.08108760201211238, -0.026620365400442186, 0.10517341843346295, 0.04328558011193196, 0.012119948132075715, 0.16888971844354622, -0.08508482275754903, -0.0894466303806338, 0.38186852091256485, -0.044527179589311815, -0.19388709960787062, 0.1479539883216659, -0.19967483835766253, -0.09603640565614181, 0.16658905889252545, 0.09611018641742614, 0.10814398169563508, -0.09082255608482677, 0.09048798213745927, -0.0006399142216707086, 0.20627072438839134, 0.10049488121517186, 0.08568230392497585, 0.26945663325022906, 0.12656640312864365, 0.0742703912043829, 0.15932066107986576, -0.09796049201862461, -0.11650881048092147, -0.3401576392237603, -0.13537366890325497, -0.21128819825739978, 0.09339011850327406, -0.08708223808881249, -0.19096867317609764, 0.38003466791548063, 0.10569412985609637, 0.20523587343524452, 0.006276149360210072, 0.26548406879854514, 0.14921796892735142, 0.10230443746219446, 0.060662547379364204, 0.2817354693514421, 0.13688581328936794, 0.06335241556452173, -0.20161854458489903, 0.02612355621610653, 0.0665670899246003] |
711.188 | PSR J1738+0333: a new gravitational laboratory | We describe in this paper a new binary millisecond pulsar, PSR J1738+0333.
Using Arecibo, we have achieved good timing accuracy for this object, about 220
ns for 1-hour integrations over 100 MHz. This allowed us to measure a precise
proper motion, parallax and orbital parameters for this system. We highlight
the system's potential for constraining alternative theories of gravitation.
| astro-ph | we describe in this paper a new binary millisecond pulsar psr j17380333 using arecibo we have achieved good timing accuracy for this object about 220 ns for 1hour integrations over 100 mhz this allowed us to measure a precise proper motion parallax and orbital parameters for this system we highlight the systems potential for constraining alternative theories of gravitation | [['we', 'describe', 'in', 'this', 'paper', 'a', 'new', 'binary', 'millisecond', 'pulsar', 'psr', 'j17380333', 'using', 'arecibo', 'we', 'have', 'achieved', 'good', 'timing', 'accuracy', 'for', 'this', 'object', 'about', '220', 'ns', 'for', '1hour', 'integrations', 'over', '100', 'mhz', 'this', 'allowed', 'us', 'to', 'measure', 'a', 'precise', 'proper', 'motion', 'parallax', 'and', 'orbital', 'parameters', 'for', 'this', 'system', 'we', 'highlight', 'the', 'systems', 'potential', 'for', 'constraining', 'alternative', 'theories', 'of', 'gravitation']] | [-0.15449158269596303, 0.036648181685388595, -0.07632278463156042, 0.07943518411849577, -0.17649367484816555, -0.09839496146137747, 0.12642774508547797, 0.41085502429533816, -0.19359830586176555, -0.34977546267969123, 0.07697982553953021, -0.21751789177247025, -0.03515920368165283, 0.30650750170382907, -0.0911203380831975, 0.05477436796083289, 0.1808255761230396, -0.03710220823206513, -0.08696403836642029, -0.2083920676049567, 0.1921619121340435, 0.0904639018857378, 0.08370197744313944, -0.03383482080268658, 0.21181842526894504, -0.022321247523334826, -0.008590561708719548, -0.056819851620722624, -0.17159484968504915, 0.12877916901419728, 0.22927409505927382, 0.12640404742274244, 0.1753617653394339, -0.34735292599583834, -0.21384272762274337, 0.07386366543123278, 0.14485540945019762, 0.07876428254580094, 0.0022121754206590734, -0.3347296605806135, 0.11611424444511659, -0.3285536489417871, -0.18106728621711166, -0.06614222882662789, 0.1128069761098694, 0.04932297229514283, -0.21392211223305282, 0.08866687076781893, 0.0017857800348330352, 0.10859875732606625, -0.1504668241240463, -0.11194557510908314, 0.16053738839671775, 0.105320946400259, 0.012914068381286274, 0.09314637555409286, 0.0684072269142558, -0.06315737967458317, -0.09782903422838297, 0.3683580891308138, -0.08120030457927388, -0.11503919633894653, 0.18845003874088495, -0.20943086375719158, -0.21988154578385716, 0.11278041703152959, 0.17810880193897224, 0.12795816893073714, -0.21902108345559593, -0.004241616071509671, 0.010933583823301025, 0.27571465971611314, 0.10878870433780476, 0.060487429552190636, 0.3550074458501096, 0.1889237799707374, 0.06687336807707482, 0.06695340232828915, -0.22919058111512056, -0.02907640660592055, -0.21014501050240914, -0.11437292971600921, -0.08665051465554131, 0.10796441259336169, -0.11979633267407534, -0.04154410038017115, 0.4295574431070837, 0.2220106919659144, 0.09896069714578531, 0.08632919124043467, 0.28104416696133755, 0.0932277102749479, 0.004749836039066441, 0.0691846835158639, 0.3370619688372491, 0.14066428612223117, 0.11925634316965875, -0.2251980140394831, 0.022065466309313553, -0.02782507746685612] |
711.1881 | GPDs with $\zeta \neq 0$ | We revisit the light-cone wave function representation for generalized parton
distributions with $\zeta\neq 0$. After translating the $t$-slope into a
$\Delta_\perp^2$-slope, the two-dimensional Fourier transform of GPDs is
interpreted as the transition matrix element as a function of the separation
between the active quark and the center of momentum of the spectators. In the
limit $x\to \zeta$ it is discussed how this information can be used to learn
about the dependence of the mean separation between the active quark and the
spectators on the momentum fraction carried by the active quark.
| hep-ph | we revisit the lightcone wave function representation for generalized parton distributions with zetaneq 0 after translating the tslope into a delta_perp2slope the twodimensional fourier transform of gpds is interpreted as the transition matrix element as a function of the separation between the active quark and the center of momentum of the spectators in the limit xto zeta it is discussed how this information can be used to learn about the dependence of the mean separation between the active quark and the spectators on the momentum fraction carried by the active quark | [['we', 'revisit', 'the', 'lightcone', 'wave', 'function', 'representation', 'for', 'generalized', 'parton', 'distributions', 'with', 'zetaneq', '0', 'after', 'translating', 'the', 'tslope', 'into', 'a', 'delta_perp2slope', 'the', 'twodimensional', 'fourier', 'transform', 'of', 'gpds', 'is', 'interpreted', 'as', 'the', 'transition', 'matrix', 'element', 'as', 'a', 'function', 'of', 'the', 'separation', 'between', 'the', 'active', 'quark', 'and', 'the', 'center', 'of', 'momentum', 'of', 'the', 'spectators', 'in', 'the', 'limit', 'xto', 'zeta', 'it', 'is', 'discussed', 'how', 'this', 'information', 'can', 'be', 'used', 'to', 'learn', 'about', 'the', 'dependence', 'of', 'the', 'mean', 'separation', 'between', 'the', 'active', 'quark', 'and', 'the', 'spectators', 'on', 'the', 'momentum', 'fraction', 'carried', 'by', 'the', 'active', 'quark']] | [-0.0761128795343671, 0.19955340983461212, -0.16564644637695525, 0.12219473322607535, -0.055387605170018214, -0.013678599211774516, 0.07400495349691155, 0.34835985771725686, -0.27846146708751995, -0.22960674962593933, 0.0334638366253335, -0.2778452564491315, -0.05603650388088119, 0.10669309283826459, 0.039830990454830816, 0.07151536235920666, -0.007711605754879753, 0.05639851575173187, -0.1277209321256685, -0.15759955146716217, 0.3485146005418194, 0.01898472499902873, 0.23773259437234884, 0.06535380189647123, 0.13779129603814877, 0.09799546179141891, -0.04209259415066309, -0.04785152004634061, -0.07879279053696756, 0.06378051949654485, 0.21226566642316141, 0.09167437763424234, 0.20402927108088068, -0.37049369899924905, -0.1857726691955219, 0.09353003245673738, 0.17190722597428085, 0.032034861687780095, -0.02861872567203984, -0.2865562139685904, 0.04331067033384121, -0.19954877629290135, -0.13371569256617405, -0.06711672174514094, 0.03657817246727227, 0.05203861285398683, -0.2739430021696065, 0.09945028422797998, 0.039438035935582066, 0.004017532551975063, -0.012358488917894912, -0.1831538053438737, -0.07153744004624948, 0.13299645334900764, 0.10162118935873837, 0.11527336475549245, 0.1416232443749486, -0.17000349043617338, -0.05873752881385637, 0.3821035778003462, -0.053991121268737015, -0.26112290283434847, 0.08740570642095938, -0.18117691748618578, -0.07580588309073381, 0.10695909805009875, 0.19579466374256135, 0.1212153475407218, -0.13805688631961519, 0.07524634640156344, -0.05884339555223561, 0.16207181408038634, 0.08219117624161953, 0.02402438156390458, 0.24156695572931444, 0.16627309295568574, -0.011100148771669758, 0.15682552825905424, -0.12663426803519134, -0.11606610779849331, -0.3634847059343638, -0.15398783412542236, -0.19681329455938232, 0.052773138550548354, -0.1040908050343389, -0.12414702740867407, 0.39545362608067774, 0.08210777879294971, 0.25564708821789434, 0.011225675944280759, 0.28177891586373527, 0.1428377214790416, 0.08443814286376151, 0.06420665810648561, 0.25851256703811415, 0.21610067808592504, 0.13703180140538698, -0.25325322343727175, 0.02282737688621862, 0.12092423320517698] |
711.1882 | Optimizing the discrete time quantum walk using a SU(2) coin | We present a generalized version of the discrete time quantum walk, using the
SU(2) operation as the quantum coin. By varying the coin parameters, the
quantum walk can be optimized for maximum variance subject to the functional
form $\sigma^2 \approx N^2$ and the probability distribution in the position
space can be biased. We also discuss the variation in measurement entropy with
the variation of the parameters in the SU(2) coin. Exploiting this we show how
quantum walk can be optimized for improving mixing time in an $n$-cycle and for
quantum walk search.
| quant-ph | we present a generalized version of the discrete time quantum walk using the su2 operation as the quantum coin by varying the coin parameters the quantum walk can be optimized for maximum variance subject to the functional form sigma2 approx n2 and the probability distribution in the position space can be biased we also discuss the variation in measurement entropy with the variation of the parameters in the su2 coin exploiting this we show how quantum walk can be optimized for improving mixing time in an ncycle and for quantum walk search | [['we', 'present', 'a', 'generalized', 'version', 'of', 'the', 'discrete', 'time', 'quantum', 'walk', 'using', 'the', 'su2', 'operation', 'as', 'the', 'quantum', 'coin', 'by', 'varying', 'the', 'coin', 'parameters', 'the', 'quantum', 'walk', 'can', 'be', 'optimized', 'for', 'maximum', 'variance', 'subject', 'to', 'the', 'functional', 'form', 'sigma2', 'approx', 'n2', 'and', 'the', 'probability', 'distribution', 'in', 'the', 'position', 'space', 'can', 'be', 'biased', 'we', 'also', 'discuss', 'the', 'variation', 'in', 'measurement', 'entropy', 'with', 'the', 'variation', 'of', 'the', 'parameters', 'in', 'the', 'su2', 'coin', 'exploiting', 'this', 'we', 'show', 'how', 'quantum', 'walk', 'can', 'be', 'optimized', 'for', 'improving', 'mixing', 'time', 'in', 'an', 'ncycle', 'and', 'for', 'quantum', 'walk', 'search']] | [-0.09630749535584904, 0.24943496487954372, -0.10169994104248674, 0.04736488380433951, -0.01809657525534377, -0.17416634742150325, 0.0622252908968063, 0.39481451485872915, -0.2681638087024507, -0.27521950687767693, 0.1206636359591199, -0.24165416070584045, -0.13182543995587723, 0.15574415132109803, -0.09180630226214619, 0.0975719361829207, 0.03034737161310066, 0.053611265232219645, -0.07179666763050077, -0.25468771165722737, 0.23618630985931857, 0.061000193193372666, 0.23495525319088736, 0.009523041278083363, 0.08727640289631065, 0.05785453122149667, 0.030022715845995623, 0.01932153613376178, -0.14212988922878614, 0.06975490542169174, 0.16464008563754917, 0.09029790072742364, 0.23454337824217003, -0.3988319045975399, -0.17703721193475244, 0.147914336109787, 0.14002452038972557, 0.14127053849844504, -0.04773741261021275, -0.31723402234037285, 0.017238603165859113, -0.13931511976229755, -0.10763251682763676, -0.04226670273498673, -0.012042931685953037, -0.007973032709939973, -0.27418210450559855, 0.08027980111902529, 0.007484382939646425, 0.016662151603352115, 0.035368785459507744, -0.08057092879797616, 0.02973265996526765, 0.1509760600950002, -0.03686144903464162, 0.03576316455196913, 0.13931039406705406, -0.10101236609752169, -0.18619271650222008, 0.38064715832107415, -0.11195973668287953, -0.2696825634516047, 0.03757563278929371, -0.16131825231359867, -0.15935290200919236, 0.010351748473982772, 0.1461311867966762, 0.09793173646270904, -0.12723569978919366, 0.1167891146349417, -0.022393648238073143, 0.15019873109565157, 0.04958554364882572, 0.07118494245831085, 0.1549627671888827, 0.11491352071196002, 0.12492029730777215, 0.1893054962464426, -0.11315493569228514, -0.18166888088149868, -0.3200149459602392, -0.20884602898023213, -0.25599355266540835, 0.11843940649060128, -0.1814854661779068, -0.12158904397738693, 0.435447329880528, 0.16517549208061688, 0.22368428697202192, 0.07953443722394497, 0.23574313814954265, 0.2057346935553537, 0.01740605250486861, 0.08645661110969503, 0.16423505034459673, 0.11950515047900136, 0.04642937325305589, -0.2591370117303956, 0.09565984473928162, 0.07385134501205555] |
711.1883 | The Eccentric Binary Millisecond Pulsar in NGC 1851 | PSR J0514-4002A is a 5-ms pulsar is located in the globular cluster NGC 1851;
it belongs to a highly eccentric (e = 0.888) binary system. It is one of the
earliest known examples of a numerous and fast-growing class of eccentric
binary MSPs recently discovered in globular clusters. Using the GBT, we have
obtained a phase-coherent timing solution for the pulsar, which includes a
measurement of the rate of advance of periastron: 0.01289(4) degrees per year,
which if due completely to general relativity, implies a total system mass of
2.453(14) solar masses. We also derive m_p < 1.5 solar masses and m_c > 0.96
solar masses. The companion is likely to be a massive white dwarf star.
| astro-ph | psr j05144002a is a 5ms pulsar is located in the globular cluster ngc 1851 it belongs to a highly eccentric e 0888 binary system it is one of the earliest known examples of a numerous and fastgrowing class of eccentric binary msps recently discovered in globular clusters using the gbt we have obtained a phasecoherent timing solution for the pulsar which includes a measurement of the rate of advance of periastron 0012894 degrees per year which if due completely to general relativity implies a total system mass of 245314 solar masses we also derive m_p 15 solar masses and m_c 096 solar masses the companion is likely to be a massive white dwarf star | [['psr', 'j05144002a', 'is', 'a', '5ms', 'pulsar', 'is', 'located', 'in', 'the', 'globular', 'cluster', 'ngc', '1851', 'it', 'belongs', 'to', 'a', 'highly', 'eccentric', 'e', '0888', 'binary', 'system', 'it', 'is', 'one', 'of', 'the', 'earliest', 'known', 'examples', 'of', 'a', 'numerous', 'and', 'fastgrowing', 'class', 'of', 'eccentric', 'binary', 'msps', 'recently', 'discovered', 'in', 'globular', 'clusters', 'using', 'the', 'gbt', 'we', 'have', 'obtained', 'a', 'phasecoherent', 'timing', 'solution', 'for', 'the', 'pulsar', 'which', 'includes', 'a', 'measurement', 'of', 'the', 'rate', 'of', 'advance', 'of', 'periastron', '0012894', 'degrees', 'per', 'year', 'which', 'if', 'due', 'completely', 'to', 'general', 'relativity', 'implies', 'a', 'total', 'system', 'mass', 'of', '245314', 'solar', 'masses', 'we', 'also', 'derive', 'm_p', '15', 'solar', 'masses', 'and', 'm_c', '096', 'solar', 'masses', 'the', 'companion', 'is', 'likely', 'to', 'be', 'a', 'massive', 'white', 'dwarf', 'star']] | [-0.15343748456375164, 0.14289638118987733, -0.05388687664685263, 0.08907516961493953, -0.13149387235118246, -0.09872668607806025, 0.07273735359141772, 0.31270027009516277, -0.15272605431647124, -0.3470347491854971, 0.0634877841792662, -0.292456691949205, -0.08894598348574205, 0.26314534236126663, -0.09911874999207529, -0.01852882882072167, 0.1881081645530437, 0.0326832678841046, -0.049649954885667695, -0.28315603805213785, 0.24465363433753903, 0.060019219605336814, 0.027374454206702384, -0.060994845332408495, 0.10001416923901574, -0.07944945483468473, 0.02878223644908179, -0.07994910764497366, -0.12302557571198453, 0.03669563032612628, 0.2206692296313122, 0.15299344315532257, 0.20728766064752233, -0.2813147073865614, -0.18926798568361186, 0.06206361082572998, 0.15805992082565684, 0.02507269506723705, -0.0878417132676325, -0.27860308449969373, 0.12126477529421788, -0.2859161539003253, -0.21690061817115003, 0.11873088219541718, 0.11961006940003824, 0.024312276681038466, -0.24104064609855413, 0.14960625618034762, 0.03197428590025414, 0.0009714707499369979, -0.12486445327628065, -0.11847645937126469, -0.014282359402965416, 0.06650449959561229, 0.041277433550831945, 0.08842869442887605, 0.13233508560859428, -0.04521682609126649, -0.016373000827363947, 0.4379489229954991, -0.021103871922770686, -0.027296106878202407, 0.21380837585946375, -0.23121626253652555, -0.23352085377767004, 0.11476357287134636, 0.16314876724711874, 0.1678442907286808, -0.25061769039973364, 0.04253340101779692, -0.044705287474789655, 0.2546253294133666, 0.09165504697117616, 0.049197071171048185, 0.39676225281913174, 0.15929004339268432, 0.06525722890457308, 0.08327220953387124, -0.23493297626264392, -0.055608089843934234, -0.14473456052893943, -0.09210036649284038, -0.14448514446531507, 0.1363938777051358, -0.11354038545898881, -0.11305697552267123, 0.35295768292112784, 0.06943120461973278, 0.15632839723998174, 0.011108841131102632, 0.2739781796762889, 0.12413378662683747, 0.10163963634774766, 0.146006428882141, 0.3357839808883992, 0.2247388020520289, 0.09254669172011994, -0.2134547490097413, 0.03932470765218816, 0.011301330822011964] |
711.1884 | Duality of Schramm-Loewner Evolutions | In this note, we prove a version of the conjectured duality of
Schramm-Loewner Evolutions, by establishing exact identities in distribution
between some boundary arcs of chordal $\SLE_\kappa$, $\kappa>4$, and
appropriate versions of $\SLE_{\hat\kappa}$, $\hat\kappa=16/\kappa$.
| math.PR | in this note we prove a version of the conjectured duality of schrammloewner evolutions by establishing exact identities in distribution between some boundary arcs of chordal sle_kappa kappa4 and appropriate versions of sle_hatkappa hatkappa16kappa | [['in', 'this', 'note', 'we', 'prove', 'a', 'version', 'of', 'the', 'conjectured', 'duality', 'of', 'schrammloewner', 'evolutions', 'by', 'establishing', 'exact', 'identities', 'in', 'distribution', 'between', 'some', 'boundary', 'arcs', 'of', 'chordal', 'sle_kappa', 'kappa4', 'and', 'appropriate', 'versions', 'of', 'sle_hatkappa', 'hatkappa16kappa']] | [-0.20013635492068715, 0.10298233155117487, -0.17630049481522292, 0.1400850609461486, -0.045598718541441485, -0.1621808800700819, 0.047267574758734554, 0.3313267189951148, -0.29572809039382264, -0.2287244427134283, 0.11134048584790435, -0.2569084716378711, -0.18635478979558684, 0.141030148275604, -0.13137906629708596, 0.07648925634566694, 0.077477040264057, -0.026357306342106313, -0.1056392279569991, -0.22832467674743384, 0.34474150180176366, -0.06717280624434352, 0.19331873145711143, 0.08505828055785969, 0.11269792006351054, 0.06425192310416605, -0.05277909142023418, 0.019804084487986984, -0.2574272780911997, 0.1099033902719384, 0.20158128067851067, 0.11296581839997089, 0.1715455311932601, -0.38117184466682374, -0.13604278440470807, 0.148041435983032, 0.17504176938564342, 0.022469206523965113, 0.03306345262535615, -0.27038722625002265, 0.04648197875940241, -0.05700627632904798, -0.26440431860100944, 0.026040203229058534, 0.08201326645212248, 0.03221726295305416, -0.2380821063707117, 0.10249983283574693, 0.15409918857039884, 0.09340806343243457, -0.029852727820980363, -0.0165343260159716, -0.02748092872207053, 0.04452386777848005, 0.04378165282832924, 0.022221770181204192, -0.047563974039803725, -0.14142807857570006, -0.14822851226199418, 0.2840331517800223, -0.04011200036620721, -0.18409624131163582, 0.11651787848677486, -0.1560877832962433, -0.2548091807984747, -0.03892944847484614, 0.03204592225665692, 0.1568484693998471, -0.16521187269245274, 0.1580921816475893, -0.10042581439120113, 0.0006950855931791011, 0.19451665988890454, 0.009402719442732632, 0.17734837083844468, 0.04489712935173884, 0.07678370010398794, 0.2516570500738453, 0.06237492420041235, -0.10998265270609409, -0.37759629121865146, -0.20214054111784208, -0.14503040289127966, 0.11591426632367074, -0.21593726453966156, -0.18606162062496878, 0.3416744024725631, 0.1363908176535915, 0.19631844223476946, 0.20021072230883874, 0.1446009378414601, 0.11400473312824033, -0.019067642104346305, 0.17858288681600243, 0.11534157397272793, 0.23736061412637355, 0.04202978026296478, -0.17992719385074452, 0.05974585181684233, 0.26169031293829903] |
711.1885 | Static dipole polarizability of C70 fullerene | The electronic and vibrational contributions to the static dipole
polarizability of C70 fullerene are determined using the finite-field method
within the density functional formalism. Large polarized Gaussian basis sets
augmented with diffuse functions are used and the exchange-correlation effects
are described within the Perdew-Burke-Ernzerhof generalized gradient
approximation (PBE-GGA). The calculated polarizability of C70 is 103
Angstrom^3, in excellent agreement with the experimental value of 102
Angstrom^3, and is completely determined by the electronic part, vibrational
contribution being negligible. The ratio of polarizabilities of C70 and C60 is
1.26. The comparison of polarizability calculated with only local terms (LDA)
in the PBE functional to that obtained with PBE-GGA shows that LDA is
sufficient to determine the static dipole polarizability of C70.
| cond-mat.mtrl-sci physics.atm-clus | the electronic and vibrational contributions to the static dipole polarizability of c70 fullerene are determined using the finitefield method within the density functional formalism large polarized gaussian basis sets augmented with diffuse functions are used and the exchangecorrelation effects are described within the perdewburkeernzerhof generalized gradient approximation pbegga the calculated polarizability of c70 is 103 angstrom3 in excellent agreement with the experimental value of 102 angstrom3 and is completely determined by the electronic part vibrational contribution being negligible the ratio of polarizabilities of c70 and c60 is 126 the comparison of polarizability calculated with only local terms lda in the pbe functional to that obtained with pbegga shows that lda is sufficient to determine the static dipole polarizability of c70 | [['the', 'electronic', 'and', 'vibrational', 'contributions', 'to', 'the', 'static', 'dipole', 'polarizability', 'of', 'c70', 'fullerene', 'are', 'determined', 'using', 'the', 'finitefield', 'method', 'within', 'the', 'density', 'functional', 'formalism', 'large', 'polarized', 'gaussian', 'basis', 'sets', 'augmented', 'with', 'diffuse', 'functions', 'are', 'used', 'and', 'the', 'exchangecorrelation', 'effects', 'are', 'described', 'within', 'the', 'perdewburkeernzerhof', 'generalized', 'gradient', 'approximation', 'pbegga', 'the', 'calculated', 'polarizability', 'of', 'c70', 'is', '103', 'angstrom3', 'in', 'excellent', 'agreement', 'with', 'the', 'experimental', 'value', 'of', '102', 'angstrom3', 'and', 'is', 'completely', 'determined', 'by', 'the', 'electronic', 'part', 'vibrational', 'contribution', 'being', 'negligible', 'the', 'ratio', 'of', 'polarizabilities', 'of', 'c70', 'and', 'c60', 'is', '126', 'the', 'comparison', 'of', 'polarizability', 'calculated', 'with', 'only', 'local', 'terms', 'lda', 'in', 'the', 'pbe', 'functional', 'to', 'that', 'obtained', 'with', 'pbegga', 'shows', 'that', 'lda', 'is', 'sufficient', 'to', 'determine', 'the', 'static', 'dipole', 'polarizability', 'of', 'c70']] | [-0.08254662241476278, 0.07278747225645929, -0.04241802034666762, 0.061615631826377165, 0.03274755870612959, -0.07590460740029811, 0.039616698946338146, 0.3945115211730202, -0.19021408499684184, -0.29995534699022147, -0.059028451631699376, -0.33609772871714083, -0.09252874354909485, 0.10012744589087864, 0.08992979438432182, 0.02543516275472939, 0.014546899101696908, -0.00955327582390358, -0.06760141174697007, -0.1655338375441109, 0.22692895535534868, 0.07902429413807113, 0.2620914613711648, 0.13331549577997065, -0.0003348384091320137, 0.00639301255044605, 0.01823657313507283, 0.057904020700758944, -0.11873520413319057, 0.18500809634958085, 0.25625562107306904, -0.016064664151053877, 0.20046702954762927, -0.4439531528701385, -0.14541896233179916, 0.006355607571701209, 0.061658599596315374, 0.1152723697188776, 0.008509308501379565, -0.27527461854042484, 0.0667603692447301, -0.18733099003050788, -0.14937768542634633, -0.1602774585597217, 0.028844640012054393, 0.07661171449969212, -0.2784054124960676, 0.16982158146808313, -0.07178652046859497, 0.03584193817029397, -0.17981768458848818, -0.29326486895636966, -0.029995586517422148, 0.0363454158961152, 0.021458811483656366, 0.07307698442988718, 0.20851159274267653, -0.0513521501289991, -0.04291919744573534, 0.4390942519918705, -0.1342920190654695, -0.15797854488434193, 0.10036313904759785, -0.17407202759835247, -0.07921008406750236, 0.1832262198246705, 0.05816707275031755, 0.11977241814238368, -0.1665626167668961, 0.10648668807122401, 0.002007464062383709, 0.19809375523376124, 0.07472693134720126, 0.046599448114708744, 0.13320631454407703, 0.09516248440680404, -0.025497935727859536, 0.10782000149677819, -0.11501377513244128, -0.09612166040266554, -0.24743939115044972, -0.06856740864826255, -0.23807403812437164, 0.01234513830471163, -0.08755861010431545, -0.19336145683191716, 0.3633370269788429, 0.079405214030218, 0.11212620134465397, -0.016833374827789762, 0.29006039816886187, 0.14053391075091592, 0.07320898150016243, 0.054030784102299854, 0.32086803579247014, 0.24846253604628146, 0.03366569751330341, -0.27055573467514477, 0.07666315408035491, 0.033354591234819965] |
711.1886 | Some Mathematical and Numerical Issues in Geophysical Fluid Dynamics and
Climate Dynamics | In this article, we address both recent advances and open questions in some
mathematical and computational issues in geophysical fluid dynamics (GFD) and
climate dynamics. The main focus is on 1) the primitive equations (PEs) models
and their related mathematical and computational issues, 2) climate
variability, predictability and successive bifurcation, and 3) a new dynamical
systems theory and its applications to GFD and climate dynamics.
| math-ph math.MP | in this article we address both recent advances and open questions in some mathematical and computational issues in geophysical fluid dynamics gfd and climate dynamics the main focus is on 1 the primitive equations pes models and their related mathematical and computational issues 2 climate variability predictability and successive bifurcation and 3 a new dynamical systems theory and its applications to gfd and climate dynamics | [['in', 'this', 'article', 'we', 'address', 'both', 'recent', 'advances', 'and', 'open', 'questions', 'in', 'some', 'mathematical', 'and', 'computational', 'issues', 'in', 'geophysical', 'fluid', 'dynamics', 'gfd', 'and', 'climate', 'dynamics', 'the', 'main', 'focus', 'is', 'on', '1', 'the', 'primitive', 'equations', 'pes', 'models', 'and', 'their', 'related', 'mathematical', 'and', 'computational', 'issues', '2', 'climate', 'variability', 'predictability', 'and', 'successive', 'bifurcation', 'and', '3', 'a', 'new', 'dynamical', 'systems', 'theory', 'and', 'its', 'applications', 'to', 'gfd', 'and', 'climate', 'dynamics']] | [-0.11140097983611318, 0.10221016437101822, -0.06414690582583157, 0.12183421287112511, -0.03824110942391249, -0.09800416690548165, 0.03631356499480227, 0.28175412009541806, -0.3316472207124417, -0.30877993475072657, 0.20267922561078405, -0.2659017376601696, -0.2932602304965258, 0.18657679387296622, -0.1621843597994974, 0.12595606096572456, 0.06811568954816231, -0.05034532658755779, -0.025304368181297412, -0.23967375783966138, 0.29720006469064036, 0.04692756136736045, 0.22757101194001733, 0.09437539545962444, 0.08742508093754832, -0.07989979710143347, -0.07689208296629099, 0.005195904057472944, -0.18053099315326948, 0.16180527962457675, 0.277653047513013, 0.18681737983133645, 0.3393633319870927, -0.5038489384433398, -0.29811483092892627, 0.013838448819632714, 0.0984094904592404, 0.09247890789634906, -0.02492352018598467, -0.23533729440174422, -0.017587685083540586, -0.14474480650745905, -0.12239183811829067, -0.09376438413388453, 0.05891555748306788, 0.02342618160809462, -0.16524121067665803, 0.06682727158499452, 0.07143066289539163, 0.1918929332544884, -0.09043558151282083, -0.111450218824813, 0.0032203494356228754, 0.13502902827010704, 0.07195812275346655, -0.010274604686464255, 0.11377910824779135, -0.16585929743014277, -0.1564810037899476, 0.40656613673155123, 0.0064720190291364605, -0.22008142907960485, 0.2920599898896538, -0.12140236920318924, -0.2108597136174257, 0.05639925233733196, 0.21849278687284543, 0.05084651500846331, -0.15079784950671288, 0.1016402382681218, 0.04442636609937136, 0.14935528988985775, 0.0285417589573906, -0.012181879465396587, 0.20930470610753849, 0.22087399551931483, 0.011630115070595191, 0.029035254152348408, -0.045500209250559025, -0.19191181517850894, -0.21781286445374673, -0.1117784564741529, -0.07512872667553333, 0.014075108545903976, -0.060560810327520954, -0.14000146218503898, 0.4530572838221605, 0.22278959533342949, 0.12347611171694903, -0.0012316490774257824, 0.29360610561875194, 0.05546611759525079, -0.09997562709837579, 0.09521901092420404, 0.16477362312457094, 0.1554217313344662, 0.19009403054100962, -0.24432867273258474, 0.02910068151003753, 0.04163940373378305] |
711.1887 | A Class of Infinite Dimensional Diffusion Processes with Connection to
Population Genetics | Starting from a sequence of independent Wright-Fisher diffusion processes on
$[0,1]$, we construct a class of reversible infinite dimensional diffusion
processes on $\DD_\infty:= \{{\bf x}\in [0,1]^\N: \sum_{i\ge 1} x_i=1\}$ with
GEM distribution as the reversible measure. Log-Sobolev inequalities are
established for these diffusions, which lead to the exponential convergence to
the corresponding reversible measures in the entropy. Extensions are made to a
class of measure-valued processes over an abstract space $S$. This provides a
reasonable alternative to the Fleming-Viot process which does not satisfy the
log-Sobolev inequality when $S$ is infinite as observed by W. Stannat \cite{S}.
| math.PR | starting from a sequence of independent wrightfisher diffusion processes on 01 we construct a class of reversible infinite dimensional diffusion processes on dd_infty bf xin 01n sum_ige 1 x_i1 with gem distribution as the reversible measure logsobolev inequalities are established for these diffusions which lead to the exponential convergence to the corresponding reversible measures in the entropy extensions are made to a class of measurevalued processes over an abstract space s this provides a reasonable alternative to the flemingviot process which does not satisfy the logsobolev inequality when s is infinite as observed by w stannat cites | [['starting', 'from', 'a', 'sequence', 'of', 'independent', 'wrightfisher', 'diffusion', 'processes', 'on', '01', 'we', 'construct', 'a', 'class', 'of', 'reversible', 'infinite', 'dimensional', 'diffusion', 'processes', 'on', 'dd_infty', 'bf', 'xin', '01n', 'sum_ige', '1', 'x_i1', 'with', 'gem', 'distribution', 'as', 'the', 'reversible', 'measure', 'logsobolev', 'inequalities', 'are', 'established', 'for', 'these', 'diffusions', 'which', 'lead', 'to', 'the', 'exponential', 'convergence', 'to', 'the', 'corresponding', 'reversible', 'measures', 'in', 'the', 'entropy', 'extensions', 'are', 'made', 'to', 'a', 'class', 'of', 'measurevalued', 'processes', 'over', 'an', 'abstract', 'space', 's', 'this', 'provides', 'a', 'reasonable', 'alternative', 'to', 'the', 'flemingviot', 'process', 'which', 'does', 'not', 'satisfy', 'the', 'logsobolev', 'inequality', 'when', 's', 'is', 'infinite', 'as', 'observed', 'by', 'w', 'stannat', 'cites']] | [-0.06430403961470195, 0.14803278838629316, -0.06293710942797286, 0.09210565702545637, -0.03723342927696649, -0.18254491415185234, 0.057795582682350265, 0.3562106787382315, -0.33563676371704787, -0.1766499582772667, 0.09160431511190836, -0.2902362182212528, -0.046511692829274885, 0.19543944305041805, -0.08086680203753834, 0.08342561986137298, 0.019601817039074376, 0.03385129803791642, -0.0411060756984322, -0.2374274656661631, 0.2866938706259437, -0.006518855467826749, 0.22861935785719348, -0.017684792168438435, 0.16288108255442543, -0.02141996821834861, -0.014367636700626463, -0.03526984194013494, -0.20533180314426622, 0.09036369825480506, 0.2438404900021851, 0.11852935828020843, 0.27113754018985975, -0.353623298171442, -0.22424839924012, 0.18446382306865416, 0.11297827136877459, 0.02001769070678468, -0.022102401982313797, -0.27175048062053975, 0.05239001984106532, -0.1367543706764991, -0.13664307526293365, -0.043738619185508774, 0.0926267118738906, 0.08293963033550729, -0.3639557962548376, 0.08052115793301103, 0.17180184133273238, 0.012494382842608806, -0.0368976756290067, -0.113897392177023, -0.02648771087115165, 0.03164566765584217, 0.015040247775990187, 0.05461150093469769, 0.12498659445797482, -0.00010653006855439646, -0.16800919139253287, 0.3015913628648074, -0.11450055994403859, -0.2742726309030938, 0.19441608638347438, -0.1604944738355698, -0.1782195986743318, 0.12416486754955258, 0.1309589586195822, 0.11253121726137276, -0.18701245615208487, 0.1728674157105464, -0.0707198309537489, 0.08767200134752784, 0.0616882697698505, 0.03681271402941396, 0.09621176990428164, 0.10256851375015685, 0.12210561657169212, 0.13530116504989564, -0.0014920871568998943, -0.1539824526795807, -0.3819822041647664, -0.22240904393644692, -0.18593607131091025, 0.18405217576961755, -0.1170148743064298, -0.2186866217283144, 0.26479717655456625, 0.09865696213758686, 0.1960245740968579, 0.11166627367492765, 0.12313447427974704, 0.13385036127632097, 0.029127773267343098, 0.05630658336447899, 0.08647913412035753, 0.18199395300325705, 0.10935043568679248, -0.12354365055944072, 0.1307444775059897, 0.14186668415398648] |
711.1888 | Five New Transits of the Super-Neptune HD 149026 | We present new photometry of HD 149026 spanning five transits of its
"super-Neptune" planet. In combination with previous data, we improve upon the
determination of the planet-to-star radius ratio: R_p/R_star =
0.0491^{+0.0018}_{-0.0005}. We find the planetary radius to be 0.71 +/- 0.05
R_Jup, in accordance with previous theoretical models invoking a high metal
abundance for the planet. The limiting error is the uncertainty in the stellar
radius. Although we find agreement among four different ways of estimating the
stellar radius, the uncertainty remains at 7%. We also present a refined
transit ephemeris and a constraint on the orbital eccentricity and argument of
pericenter, e cos(omega) = -0.0014 +/- 0.0012, based on the measured interval
between primary and secondary transits.
| astro-ph | we present new photometry of hd 149026 spanning five transits of its superneptune planet in combination with previous data we improve upon the determination of the planettostar radius ratio r_pr_star 0049100018_00005 we find the planetary radius to be 071 005 r_jup in accordance with previous theoretical models invoking a high metal abundance for the planet the limiting error is the uncertainty in the stellar radius although we find agreement among four different ways of estimating the stellar radius the uncertainty remains at 7 we also present a refined transit ephemeris and a constraint on the orbital eccentricity and argument of pericenter e cosomega 00014 00012 based on the measured interval between primary and secondary transits | [['we', 'present', 'new', 'photometry', 'of', 'hd', '149026', 'spanning', 'five', 'transits', 'of', 'its', 'superneptune', 'planet', 'in', 'combination', 'with', 'previous', 'data', 'we', 'improve', 'upon', 'the', 'determination', 'of', 'the', 'planettostar', 'radius', 'ratio', 'r_pr_star', '0049100018_00005', 'we', 'find', 'the', 'planetary', 'radius', 'to', 'be', '071', '005', 'r_jup', 'in', 'accordance', 'with', 'previous', 'theoretical', 'models', 'invoking', 'a', 'high', 'metal', 'abundance', 'for', 'the', 'planet', 'the', 'limiting', 'error', 'is', 'the', 'uncertainty', 'in', 'the', 'stellar', 'radius', 'although', 'we', 'find', 'agreement', 'among', 'four', 'different', 'ways', 'of', 'estimating', 'the', 'stellar', 'radius', 'the', 'uncertainty', 'remains', 'at', '7', 'we', 'also', 'present', 'a', 'refined', 'transit', 'ephemeris', 'and', 'a', 'constraint', 'on', 'the', 'orbital', 'eccentricity', 'and', 'argument', 'of', 'pericenter', 'e', 'cosomega', '00014', '00012', 'based', 'on', 'the', 'measured', 'interval', 'between', 'primary', 'and', 'secondary', 'transits']] | [-0.13110794347206442, 0.08948538009804395, -0.0814938959461359, 0.03419895371802053, -0.07409108922052965, -0.08921345292280118, 0.11810487593736566, 0.35261495968555673, -0.133815875008351, -0.4056595436444408, 0.07764659799623157, -0.3140324750555712, -0.03486674548159435, 0.205065402561766, -0.12850923411417425, 0.06129112041385828, 0.12921852564945685, -0.021258370660800944, -0.09140968100135133, -0.23176639971196683, 0.2330834407935311, 0.06527673077091509, 0.0677344380375488, 0.029494465369600476, 0.026760616402035545, 0.0010089443796395994, -0.050143705076423656, -0.04525138692636239, -0.28233107423671244, 0.08385089892289486, 0.16170116184063468, 0.12376805437369305, 0.17616687021463326, -0.3010685605450386, -0.1784949830790426, 0.04825001473440543, 0.139494747274735, 0.02485104654343766, 0.0002091089386100832, -0.22449335222246877, 0.0678280538781301, -0.20908632661264978, -0.14369101341192922, 0.05503439409004753, 0.1148295521883196, -0.02678473399984732, -0.2861476260024989, 0.14467961376450197, 0.004209713585544051, 0.15373290005025633, -0.14144333068530582, -0.21249510746923062, -0.061354939856468456, 0.06366510894312932, 0.03743129943930462, 0.08446980954409299, 0.11850228332587633, 0.0028431828607592665, -0.01827203497503018, 0.37643203951353044, -0.12473333327165037, -0.0634296034572719, 0.16499358237508618, -0.2131335327826571, -0.15918020903655702, 0.10346212200493667, 0.16408442124201542, 0.1177262325624102, -0.12879747357382848, -0.0015884691235617523, 0.0010256554562243093, 0.24747217401633398, 0.09107588191533036, 0.03139940213983656, 0.3640422063569228, 0.1569380749970789, 0.06898883644189163, 0.016893788982231758, -0.2550773095020926, -0.03995857313030252, -0.2011375864804314, -0.07907699641624563, -0.13167610078221115, 0.012226404763120962, -0.1847290135466896, -0.0920376893165603, 0.35237121224615786, 0.16784709014443747, 0.23231286283484415, 0.09479825884888046, 0.32606586538614674, 0.11642880769029848, 0.03834333861442773, 0.09383028076161026, 0.36724587469443415, 0.14804232915814378, 0.06548432921663973, -0.28350300509727705, 0.09854244523305904, 0.029461793409529747] |
711.1889 | Visualization of Complex Observational and Theoretical Datasets in the
Virtual Observatory | Our presentation is aimed at data centers providing access to complex
observational and theoretical data and to the users of these resources. We show
how to visualize complex datasets stored in the VO enabled data archives using
existing VO client software and PLASTIC, a prototype of an application
messaging protocol, for interaction between archive query results and tools. We
demonstrate how to display and explore observable IFU datasets, provided within
the ASPID-SR archive, using CDS Aladin, ESA VOSpec, and VO-Paris Euro3D Client.
In the second part of the paper we show how to use TOPCAT for displaying
results of N-body simulations of galaxy mergers available in the HORIZON GalMer
database.
| astro-ph | our presentation is aimed at data centers providing access to complex observational and theoretical data and to the users of these resources we show how to visualize complex datasets stored in the vo enabled data archives using existing vo client software and plastic a prototype of an application messaging protocol for interaction between archive query results and tools we demonstrate how to display and explore observable ifu datasets provided within the aspidsr archive using cds aladin esa vospec and voparis euro3d client in the second part of the paper we show how to use topcat for displaying results of nbody simulations of galaxy mergers available in the horizon galmer database | [['our', 'presentation', 'is', 'aimed', 'at', 'data', 'centers', 'providing', 'access', 'to', 'complex', 'observational', 'and', 'theoretical', 'data', 'and', 'to', 'the', 'users', 'of', 'these', 'resources', 'we', 'show', 'how', 'to', 'visualize', 'complex', 'datasets', 'stored', 'in', 'the', 'vo', 'enabled', 'data', 'archives', 'using', 'existing', 'vo', 'client', 'software', 'and', 'plastic', 'a', 'prototype', 'of', 'an', 'application', 'messaging', 'protocol', 'for', 'interaction', 'between', 'archive', 'query', 'results', 'and', 'tools', 'we', 'demonstrate', 'how', 'to', 'display', 'and', 'explore', 'observable', 'ifu', 'datasets', 'provided', 'within', 'the', 'aspidsr', 'archive', 'using', 'cds', 'aladin', 'esa', 'vospec', 'and', 'voparis', 'euro3d', 'client', 'in', 'the', 'second', 'part', 'of', 'the', 'paper', 'we', 'show', 'how', 'to', 'use', 'topcat', 'for', 'displaying', 'results', 'of', 'nbody', 'simulations', 'of', 'galaxy', 'mergers', 'available', 'in', 'the', 'horizon', 'galmer', 'database']] | [-0.08678612276194018, -0.03579958964343751, -0.08781724565218144, 0.06337295473155934, -0.12197189685384478, -0.11591953077191196, 0.07332302192589182, 0.4458822693351075, -0.2549904652645837, -0.35710948112702695, 0.10260829652142668, -0.3358289370988282, -0.07908672624729027, 0.2459576392606106, -0.051104822169499124, 0.023184961981114444, 0.13235453909280104, -0.04867040855946754, 0.037534611867826195, -0.29619442584386113, 0.2929859836628541, 0.10736145574702036, 0.26744549240491894, 0.03839253409500789, 0.05432686523145595, -0.009334293494231725, -0.12273383862125355, -0.02879422727476703, -0.14672845222671096, 0.14585263973823961, 0.36294660045297544, 0.24585166582923143, 0.22147841398885107, -0.46072832773516487, -0.09910051410573475, -0.005220940733892382, 0.13419549479021117, 0.07564071761342749, -0.10562193112601655, -0.3524185800155915, 0.0592073444447933, -0.2257690151914134, -0.11148412568375059, -0.1075113182118453, 0.005652814432807745, 0.027647481043609458, -0.2500428862788569, -0.019548316383648904, -0.07904303233660416, 0.10613443596510712, -0.08729348156105625, -0.021477643485873117, -0.02872792194563246, 0.20784170066813912, 0.003069835191660928, 0.0197687317316053, 0.12304783805162398, -0.10298095175723007, -0.13074212094583043, 0.3958304888064708, -0.0394766424705676, -0.06288993346009301, 0.2066608209920184, -0.10919329241652964, -0.17749833609532872, 0.043588827868257095, 0.20688313664441263, 0.04221511878385081, -0.18307458514074257, 0.07239303091613558, 0.00565969851722411, 0.22691482670365945, 0.012241351901480945, 0.019229119172701058, 0.1729882759695719, 0.186653347681661, -0.007323331344838536, 0.1434291984603971, -0.1281955363784293, -0.062082261949299125, -0.23175076914442821, -0.16845270468417659, -0.186767167881678, -0.023950320698423396, -0.08242386774242207, -0.12386417823818026, 0.34339870890995505, 0.23169253235725568, 0.11806214358144944, 0.051352029948264634, 0.35963961589705506, -0.06052447663120276, 0.12109796491818964, 0.1120621530347666, 0.15726732730827028, 0.0024015143483774653, 0.19825671383376242, -0.1603935169733723, 0.04047275417903011, -0.02435231105469321] |
711.189 | A Geometric Interpretation of Fading in Wireless Networks: Theory and
Applications | In wireless networks with random node distribution, the underlying point
process model and the channel fading process are usually considered separately.
A unified framework is introduced that permits the geometric characterization
of fading by incorporating the fading process into the point process model.
Concretely, assuming nodes are distributed in a stationary Poisson point
process in $\R^d$, the properties of the point processes that describe the path
loss with fading are analyzed. The main applications are connectivity and
broadcasting.
| cs.IT math.IT | in wireless networks with random node distribution the underlying point process model and the channel fading process are usually considered separately a unified framework is introduced that permits the geometric characterization of fading by incorporating the fading process into the point process model concretely assuming nodes are distributed in a stationary poisson point process in rd the properties of the point processes that describe the path loss with fading are analyzed the main applications are connectivity and broadcasting | [['in', 'wireless', 'networks', 'with', 'random', 'node', 'distribution', 'the', 'underlying', 'point', 'process', 'model', 'and', 'the', 'channel', 'fading', 'process', 'are', 'usually', 'considered', 'separately', 'a', 'unified', 'framework', 'is', 'introduced', 'that', 'permits', 'the', 'geometric', 'characterization', 'of', 'fading', 'by', 'incorporating', 'the', 'fading', 'process', 'into', 'the', 'point', 'process', 'model', 'concretely', 'assuming', 'nodes', 'are', 'distributed', 'in', 'a', 'stationary', 'poisson', 'point', 'process', 'in', 'rd', 'the', 'properties', 'of', 'the', 'point', 'processes', 'that', 'describe', 'the', 'path', 'loss', 'with', 'fading', 'are', 'analyzed', 'the', 'main', 'applications', 'are', 'connectivity', 'and', 'broadcasting']] | [-0.17398540280425015, 0.09263754313369879, -0.0899921258410009, 0.029918678012178974, -0.0067307286692830995, -0.1853046843614907, 0.08796938140995991, 0.4458018185045475, -0.3147930232091592, -0.1953659453548682, 0.10297964709267642, -0.22402244701814383, -0.21567347540687293, 0.09811385935291839, -0.08499972177191804, 0.07788685988634825, 0.046693240714748986, 0.006821676491735837, 0.018798828441410873, -0.21895063287602404, 0.3669165271970157, 0.09501078279497914, 0.312091895355246, -0.036844797884651385, 0.0684697453219157, 0.0674611771156868, -0.09139962968840383, -0.054022974436147474, -0.07840580717180647, 0.03607422138492648, 0.22721735225656095, 0.14052222811808, 0.2245335502502246, -0.41863472647487354, -0.3322007644157379, 0.10621868587958698, 0.12802921445705953, 0.03092422483799358, -0.029603146374798738, -0.28581880824640393, 0.12241224747580978, -0.18235490071133542, -0.07855120346021767, 0.028296577320314754, -0.03241126375416151, 0.07578034478968057, -0.34188458516907233, 0.04178442161243696, 0.09775987208391038, 0.006611141823948576, -0.03338952161049327, -0.09725335532894884, -0.003721865502974162, 0.16712833636511976, 0.016702897155296225, -0.02226040435011666, 0.14918884279158634, -0.1060867546699368, -0.1447561763179226, 0.36549299157773835, 0.028083284225804396, -0.22938199679200083, 0.152858772978503, -0.10370616033935967, -0.10687651900717846, 0.1752111039016969, 0.22418397724723968, 0.06049292553096819, -0.29968830611174685, 0.09980133006152195, 0.010259309282096533, 0.04746988993167925, 0.006953114676528061, 0.07485322719917466, 0.17792396572426347, 0.2104771960622225, 0.061715823120604724, 0.15119134283099228, -0.1221646451845001, -0.2238764493750074, -0.324312751659025, -0.11783959390595555, -0.21296033921997803, 0.0416258148317679, -0.14397420718607742, -0.1375909000635147, 0.3688492882513226, 0.13961647300479504, 0.21507340629632848, 0.06749534887225869, 0.30441593776683873, 0.15739601967521968, -0.005803681241396146, 0.14145964741682968, 0.1283502054448502, 0.14612544378420958, 0.10056716840093334, -0.08156960970089318, 0.12286687524129565, 0.009703062677708192] |
711.1891 | The Physics of Deep-Inelastic Scattering at HERA | In this paper an introduction to the physics of deep-inelastic scattering is
given together with an account of some of the most recent results on the proton
structure obtained in electron-- and positron--proton collisions at the HERA
collider.
| hep-ex | in this paper an introduction to the physics of deepinelastic scattering is given together with an account of some of the most recent results on the proton structure obtained in electron and positronproton collisions at the hera collider | [['in', 'this', 'paper', 'an', 'introduction', 'to', 'the', 'physics', 'of', 'deepinelastic', 'scattering', 'is', 'given', 'together', 'with', 'an', 'account', 'of', 'some', 'of', 'the', 'most', 'recent', 'results', 'on', 'the', 'proton', 'structure', 'obtained', 'in', 'electron', 'and', 'positronproton', 'collisions', 'at', 'the', 'hera', 'collider']] | [-0.03417017933373388, 0.1463741867406306, -0.11161058325026381, 0.053429873905291685, -0.01977610617483917, -0.019858866367844473, -0.0815758831327242, 0.3318090901563042, -0.22283436999178344, -0.238005275985128, 0.016670988351841897, -0.38393110958369153, -0.01530417780342855, 0.19686762748384162, 0.05902444644782104, 0.05797011693510668, 0.08629699423909187, -0.009942877069605808, -0.04855270078405738, -0.2722043092546396, 0.3526275293215325, 0.1938942801820016, 0.23376169053249454, 0.2104622196210058, 0.0975654355348333, 0.1183458968359781, -0.0706249843106458, -0.014650653459523854, -0.12498107758706044, 0.1832891175175686, 0.2998153222234626, 0.07815202955450666, 0.15171333505943613, -0.5020988644835981, -0.10851899130073817, 0.023367002704425863, 0.11033941351955659, 0.1216733796754852, -0.10010627988958731, -0.26972493362662037, 0.028046381169636, -0.21115032801600664, -0.13223696230469564, -0.009281110704729431, 0.002085470790533643, 0.002566959806963017, -0.29774064685395724, -0.016169478062932428, -0.014843314910601629, 0.05738426754741292, -0.07508824041839321, -0.19296822775351374, 0.03501671161134973, -0.001451556362505806, 0.12078071844543477, 0.09276676619131315, 0.07633053384549719, -0.19563448062399402, -0.16087081435283548, 0.3753791204408595, 0.020646027166788514, -0.10221654617864835, 0.18384228105117617, -0.2713788348054023, -0.16443582469180815, 0.14236064593454725, 0.2535273741048418, 0.03994349645156609, -0.2268188142870234, 0.12032031924555715, -0.0703163457372667, 0.14763483564418398, 0.08143022095196341, 0.04122110255258648, 0.1674560873622173, 0.25951356210402754, -0.015634595012096197, 0.024261189091607537, -0.12633848391277225, -0.02084358102691017, -0.4181730986425751, -0.07581113374448921, -0.11643358457245324, 0.044764697674269736, -0.02534541573435203, -0.08771981730272896, 0.3612436205148697, 0.1118308256478294, 0.32187836911333234, -0.03405332359436311, 0.31447091399642985, 0.11818542510369107, 0.02414706246666978, 0.03327333605595509, 0.26774018389359727, 0.1631510039595397, 0.17641024166522057, -0.24840465924506516, 0.06076418982487858, 0.020153728460795002] |
711.1892 | Middleware for Data Visualization in VO-enabled Data Archives | We present a middleware for visualization and exploration of complex datasets
in a VO framework, that performs interaction between data archives and existing
VO client applications using PLASTIC. It comprises: (1) PLASTIC-enabled Java
control applet, integrated into archive web-pages and interacting with VO
applications; (2) cross-browser compatible JavaScript part managing
PLASTIC-aware VO Clients (launch, data manipulation) by means of Java
LiveConnect. This (or similar) solution is an essential for the new generation
VO-enabled data archives providing access to complex observational and
theoretical datasets (3D-spectroscopy, N-body simulations, etc.) through
web-interface. Thanks to PLASTIC capabilities it is possible to start all
necessary client software with a single-click in the archive query result page
in a web-browser. This simplifies the scientific usage of the VO resources and
makes it easy even for users with no experience in the VO technologies.
| astro-ph | we present a middleware for visualization and exploration of complex datasets in a vo framework that performs interaction between data archives and existing vo client applications using plastic it comprises 1 plasticenabled java control applet integrated into archive webpages and interacting with vo applications 2 crossbrowser compatible javascript part managing plasticaware vo clients launch data manipulation by means of java liveconnect this or similar solution is an essential for the new generation voenabled data archives providing access to complex observational and theoretical datasets 3dspectroscopy nbody simulations etc through webinterface thanks to plastic capabilities it is possible to start all necessary client software with a singleclick in the archive query result page in a webbrowser this simplifies the scientific usage of the vo resources and makes it easy even for users with no experience in the vo technologies | [['we', 'present', 'a', 'middleware', 'for', 'visualization', 'and', 'exploration', 'of', 'complex', 'datasets', 'in', 'a', 'vo', 'framework', 'that', 'performs', 'interaction', 'between', 'data', 'archives', 'and', 'existing', 'vo', 'client', 'applications', 'using', 'plastic', 'it', 'comprises', '1', 'plasticenabled', 'java', 'control', 'applet', 'integrated', 'into', 'archive', 'webpages', 'and', 'interacting', 'with', 'vo', 'applications', '2', 'crossbrowser', 'compatible', 'javascript', 'part', 'managing', 'plasticaware', 'vo', 'clients', 'launch', 'data', 'manipulation', 'by', 'means', 'of', 'java', 'liveconnect', 'this', 'or', 'similar', 'solution', 'is', 'an', 'essential', 'for', 'the', 'new', 'generation', 'voenabled', 'data', 'archives', 'providing', 'access', 'to', 'complex', 'observational', 'and', 'theoretical', 'datasets', '3dspectroscopy', 'nbody', 'simulations', 'etc', 'through', 'webinterface', 'thanks', 'to', 'plastic', 'capabilities', 'it', 'is', 'possible', 'to', 'start', 'all', 'necessary', 'client', 'software', 'with', 'a', 'singleclick', 'in', 'the', 'archive', 'query', 'result', 'page', 'in', 'a', 'webbrowser', 'this', 'simplifies', 'the', 'scientific', 'usage', 'of', 'the', 'vo', 'resources', 'and', 'makes', 'it', 'easy', 'even', 'for', 'users', 'with', 'no', 'experience', 'in', 'the', 'vo', 'technologies']] | [-0.1184126848310194, -0.004790136388067761, -0.03191811663668547, 0.045160507988323696, -0.15635295564294863, -0.1987965893028165, 0.08145746231815819, 0.4390825690569551, -0.25873387804769205, -0.36922289996838836, 0.10317025212015012, -0.30782656034510303, -0.07833841664945956, 0.2326689567608036, -0.07131988959345244, 0.0424022301371251, 0.1539347036081408, -0.04868037861062965, 0.03662054952704904, -0.25517182111906916, 0.24730969672855824, 0.0839197678029287, 0.2935208332757014, 0.06298720413591337, 0.023413110026610152, 0.034061243396196796, -0.10126478860933166, -0.06386611683280277, -0.06904080573760656, 0.16097530656591502, 0.38944265026983166, 0.25779712063593985, 0.26096081699756385, -0.4321856406976038, -0.12717588976418265, -0.024748349732566458, 0.12939773098332807, 0.049050133793706895, -0.0991954229035373, -0.3331810685340315, 0.06451566404760328, -0.23005159284724896, -0.10917570280369872, -0.11919031652218814, 0.049876410543654506, -0.01096472429778816, -0.24726175561324873, -0.07795124747373386, -0.04231341966469564, 0.11444413245641696, -0.05758371257306591, -0.027366257144082615, -0.03227248332991418, 0.20432828776034484, -0.012592624077128607, 0.043081573400917506, 0.12972077811718918, -0.13136801303628443, -0.12461145073887822, 0.4173387048849419, -0.028435284932102286, -0.10926154585826252, 0.23806972639094828, 0.006554961947328064, -0.17583327648688607, 0.10726986945009054, 0.15720333717763424, 0.04629907678854443, -0.20412558527427044, 0.11574607099008524, 0.02695230237180506, 0.21503012467683083, 0.028271534932784236, 0.008419986271278572, 0.19724851197549212, 0.2348646125373945, 0.0590893101640421, 0.10436665409838837, -0.041588898515328765, -0.06973582813594449, -0.2326805199211491, -0.22650347333123436, -0.16728151064633684, -0.006755735356805485, -0.09556317333783172, -0.1624513229063309, 0.34385314864565186, 0.22228699331623572, 0.06670621184566156, 0.029408921847300633, 0.41152589868253736, -0.048305083396358056, 0.1609873988443235, 0.14723938169525136, 0.1194430796929927, -0.03462890735757885, 0.260147472326609, -0.10319011906551113, 0.09396489618047238, -0.03650766598111116] |
711.1893 | Growth of the Number of Spanning Trees of the Erd\"os-R\'enyi Giant
Component | The number of spanning trees in the giant component of the random graph
$\G(n, c/n)$ ($c>1$) grows like $\exp\big\{m\big(f(c)+o(1)\big)\big\}$ as
$n\to\infty$, where $m$ is the number of vertices in the giant component. The
function $f$ is not known explicitly, but we show that it is strictly
increasing and infinitely differentiable. Moreover, we give an explicit lower
bound on $f'(c)$. A key lemma is the following. Let $\PGW(\lambda)$ denote a
Galton-Watson tree having Poisson offspring distribution with parameter
$\lambda$. Suppose that $\lambda^*>\lambda>1$. We show that $\PGW(\lambda^*)$
conditioned to survive forever stochastically dominates $\PGW(\lambda)$
conditioned to survive forever.
| math.PR math.CO | the number of spanning trees in the giant component of the random graph gn cn c1 grows like expbigmbigfco1bigbig as ntoinfty where m is the number of vertices in the giant component the function f is not known explicitly but we show that it is strictly increasing and infinitely differentiable moreover we give an explicit lower bound on fc a key lemma is the following let pgwlambda denote a galtonwatson tree having poisson offspring distribution with parameter lambda suppose that lambdalambda1 we show that pgwlambda conditioned to survive forever stochastically dominates pgwlambda conditioned to survive forever | [['the', 'number', 'of', 'spanning', 'trees', 'in', 'the', 'giant', 'component', 'of', 'the', 'random', 'graph', 'gn', 'cn', 'c1', 'grows', 'like', 'expbigmbigfco1bigbig', 'as', 'ntoinfty', 'where', 'm', 'is', 'the', 'number', 'of', 'vertices', 'in', 'the', 'giant', 'component', 'the', 'function', 'f', 'is', 'not', 'known', 'explicitly', 'but', 'we', 'show', 'that', 'it', 'is', 'strictly', 'increasing', 'and', 'infinitely', 'differentiable', 'moreover', 'we', 'give', 'an', 'explicit', 'lower', 'bound', 'on', 'fc', 'a', 'key', 'lemma', 'is', 'the', 'following', 'let', 'pgwlambda', 'denote', 'a', 'galtonwatson', 'tree', 'having', 'poisson', 'offspring', 'distribution', 'with', 'parameter', 'lambda', 'suppose', 'that', 'lambdalambda1', 'we', 'show', 'that', 'pgwlambda', 'conditioned', 'to', 'survive', 'forever', 'stochastically', 'dominates', 'pgwlambda', 'conditioned', 'to', 'survive', 'forever']] | [-0.15349742537364364, 0.22425119102531185, -0.07332818202772423, 0.03379235458805373, -0.08611552405024045, -0.15251479042007735, 0.06781740676807729, 0.33906968606537896, -0.266661620767493, -0.2226279276962343, 0.07159386033339328, -0.31349650379637944, -0.13269793138790287, 0.1106525970010185, -0.082479660271814, -0.03783274430683569, 0.061154043473499384, 0.14411571515527996, 0.062128854815014886, -0.28763887532894794, 0.3075887434478653, -0.040204521484280886, 0.18066734764234801, 0.02859347510200582, 0.11569367448162092, 0.011132257232001345, 0.03744006649787097, -0.017375315865501763, -0.1674045513567092, -0.008000768643289215, 0.19340364768807042, 0.1357210537051096, 0.3009827637358716, -0.377119506346552, -0.1672924923612491, 0.26754716874075757, 0.21390978301336105, 0.03217865270317385, 0.027643441990949213, -0.20261849763950235, 0.14272920444215598, -0.12393421304265136, -0.18818001493223405, 0.015367873145365401, 0.09051952852720493, 0.04986577121246802, -0.29752319294861274, 0.03760302324632281, 0.15589154778342498, -0.006445839900621458, 0.01721239361764961, -0.17281384559250193, -0.11539725717157126, 0.09842476187960097, 0.004300676323595996, 0.10101043251097987, 0.12635400315354528, -0.08470073761050835, -0.06751127676413346, 0.2743029835189717, -0.11453967385582234, -0.17109315974613357, 0.15111050393530412, -0.20747482126676722, -0.19178349080642587, 0.1176323381105536, 0.12808979768796186, 0.14366123822615726, -0.06544549510275063, 0.16554313344133428, -0.07995547876374698, 0.129799046916397, 0.08290074190713073, 0.005918294066367181, 0.13466157640428528, 0.14435950313743792, 0.17469997528548303, 0.15673282408204517, -0.02875954055619475, -0.06474430643904366, -0.299219510184699, -0.1277306670157582, -0.25347753469096984, 0.13431339324222216, -0.13984710201850822, -0.24690040638180155, 0.29945653320143095, 0.12732190311837352, 0.26117016474079147, 0.18187259334188544, 0.22693484222614452, 0.12668459628537102, 0.0340482788944715, 0.1495469219590488, 0.08217809135584454, 0.15321875717735997, -0.021014568636095837, -0.13450234411774498, 0.11901402461930717, 0.08189450258291081] |
711.1894 | Strong-coupling of quantum dots in microcavities | We show that strong-coupling (SC) of light and matter as it is realized with
quantum dots (QDs) in microcavities differs substantially from the paradigm of
atoms in optical cavities. The type of pumping used in semiconductors yields
new criteria to achieve SC, with situations where the pump hinders, or on the
contrary, favours it. We analyze one of the seminal experimental observation of
SC of a QD in a pillar microcavity [Reithmaier et al., Nature (2004)] as an
illustration of our main statements.
| cond-mat.mes-hall | we show that strongcoupling sc of light and matter as it is realized with quantum dots qds in microcavities differs substantially from the paradigm of atoms in optical cavities the type of pumping used in semiconductors yields new criteria to achieve sc with situations where the pump hinders or on the contrary favours it we analyze one of the seminal experimental observation of sc of a qd in a pillar microcavity reithmaier et al nature 2004 as an illustration of our main statements | [['we', 'show', 'that', 'strongcoupling', 'sc', 'of', 'light', 'and', 'matter', 'as', 'it', 'is', 'realized', 'with', 'quantum', 'dots', 'qds', 'in', 'microcavities', 'differs', 'substantially', 'from', 'the', 'paradigm', 'of', 'atoms', 'in', 'optical', 'cavities', 'the', 'type', 'of', 'pumping', 'used', 'in', 'semiconductors', 'yields', 'new', 'criteria', 'to', 'achieve', 'sc', 'with', 'situations', 'where', 'the', 'pump', 'hinders', 'or', 'on', 'the', 'contrary', 'favours', 'it', 'we', 'analyze', 'one', 'of', 'the', 'seminal', 'experimental', 'observation', 'of', 'sc', 'of', 'a', 'qd', 'in', 'a', 'pillar', 'microcavity', 'reithmaier', 'et', 'al', 'nature', '2004', 'as', 'an', 'illustration', 'of', 'our', 'main', 'statements']] | [-0.09036984221964348, 0.10602909126251556, -0.05643440524070728, -0.005807131521755875, 0.005577831489329294, -0.18174470588564873, 0.07079785903234308, 0.39204668344520943, -0.21046441080184972, -0.30823097358707613, -0.0054063366998623056, -0.2688639690111414, -0.13607804738581408, 0.2620628381619321, -0.07450715621660758, 0.006437523445971992, 0.010953314852242062, -0.07160646593334472, -0.026746404996828926, -0.23166383289243664, 0.3007178047385135, 0.026446787690141853, 0.32921749347730017, 0.0542865086477477, 0.0433267347412411, 0.005123277529846967, 0.054324832279235125, -0.015920002694900442, -0.12200053301173129, 0.10074219243067158, 0.23476964739582887, 0.04839634067782133, 0.236804172169508, -0.44056026894235756, -0.20486764037391034, 0.044339580921365356, 0.16066961126294124, 0.1848225171320004, -0.059842993449930826, -0.28837117511732396, 0.0282033196105281, -0.13845586142021446, -0.10037340938749655, 0.0021477487369826655, -0.013313821732725313, 0.012025170357579865, -0.27183135213875553, 0.04173276891432157, 0.10449135795281064, 0.02198290112769095, -0.0016108759076947847, -0.08924428372439451, 0.01467666696904727, 0.02191435891237655, -0.019008635536188305, 0.018196325320409747, 0.13264115165816848, -0.12477167938813204, -0.1779313196041962, 0.4135713741614869, -0.07446544008647524, -0.050488693900860665, 0.18776342728268924, -0.12565361277665943, -0.05145059638406809, 0.05904913827118168, 0.11969521583807541, 0.09331844660109931, -0.05648372398700747, 0.1033742475747869, -0.06313246586246461, 0.19168271039748883, 0.06217993037184564, 0.12672592674824978, 0.18928111894851232, 0.20096068243246254, 0.03194434996467174, 0.1547657472149628, -0.07419659730569436, -0.10984229405265779, -0.24631602647600742, -0.17944809618738208, -0.2294122977182269, 0.061658045197496326, -0.033144361873138864, -0.16140928165987134, 0.384101790029601, 0.15463482720277658, 0.18827150523571706, -0.07534729927869105, 0.2449383289658283, 0.10488746694584446, 0.05294078793308361, 0.038922197077559624, 0.32254645521411807, 0.16705642366872692, 0.09921605052517318, -0.24354861573622813, 0.011415389417557091, -0.003949591734342947] |
711.1895 | Dynamical Barrier for the Formation of Solitary Waves in Discrete
Lattices | We consider the problem of the existence of a dynamical barrier of ``mass''
that needs to be excited on a lattice site to lead to the formation and
subsequent persistence of localized modes for a nonlinear Schrodinger lattice.
We contrast the existence of a dynamical barrier with its absence in the static
theory of localized modes in one spatial dimension. We suggest an energetic
criterion that provides a sufficient, but not necessary, condition on the
amplitude of a single-site initial condition required to form a solitary wave.
We show that this effect is not one-dimensional by considering its
two-dimensional analog. The existence of a sufficient condition for the
excitation of localized modes in the non-integrable, discrete, nonlinear
Schrodinger equation is compared to the dynamics of excitations in the
integrable, both discrete and continuum, version of the nonlinear Schrodinger
equation.
| nlin.PS | we consider the problem of the existence of a dynamical barrier of mass that needs to be excited on a lattice site to lead to the formation and subsequent persistence of localized modes for a nonlinear schrodinger lattice we contrast the existence of a dynamical barrier with its absence in the static theory of localized modes in one spatial dimension we suggest an energetic criterion that provides a sufficient but not necessary condition on the amplitude of a singlesite initial condition required to form a solitary wave we show that this effect is not onedimensional by considering its twodimensional analog the existence of a sufficient condition for the excitation of localized modes in the nonintegrable discrete nonlinear schrodinger equation is compared to the dynamics of excitations in the integrable both discrete and continuum version of the nonlinear schrodinger equation | [['we', 'consider', 'the', 'problem', 'of', 'the', 'existence', 'of', 'a', 'dynamical', 'barrier', 'of', 'mass', 'that', 'needs', 'to', 'be', 'excited', 'on', 'a', 'lattice', 'site', 'to', 'lead', 'to', 'the', 'formation', 'and', 'subsequent', 'persistence', 'of', 'localized', 'modes', 'for', 'a', 'nonlinear', 'schrodinger', 'lattice', 'we', 'contrast', 'the', 'existence', 'of', 'a', 'dynamical', 'barrier', 'with', 'its', 'absence', 'in', 'the', 'static', 'theory', 'of', 'localized', 'modes', 'in', 'one', 'spatial', 'dimension', 'we', 'suggest', 'an', 'energetic', 'criterion', 'that', 'provides', 'a', 'sufficient', 'but', 'not', 'necessary', 'condition', 'on', 'the', 'amplitude', 'of', 'a', 'singlesite', 'initial', 'condition', 'required', 'to', 'form', 'a', 'solitary', 'wave', 'we', 'show', 'that', 'this', 'effect', 'is', 'not', 'onedimensional', 'by', 'considering', 'its', 'twodimensional', 'analog', 'the', 'existence', 'of', 'a', 'sufficient', 'condition', 'for', 'the', 'excitation', 'of', 'localized', 'modes', 'in', 'the', 'nonintegrable', 'discrete', 'nonlinear', 'schrodinger', 'equation', 'is', 'compared', 'to', 'the', 'dynamics', 'of', 'excitations', 'in', 'the', 'integrable', 'both', 'discrete', 'and', 'continuum', 'version', 'of', 'the', 'nonlinear', 'schrodinger', 'equation']] | [-0.16597556641238254, 0.14236429999777192, -0.0964438005303629, 0.08984824353343264, -0.06307018989288389, -0.1201811416506794, 0.014242822342056432, 0.33076602022042967, -0.2455308541802944, -0.202623686076497, 0.10650502596127552, -0.23682834108849224, -0.1443756514014475, 0.14714431598541333, 0.01793803140628252, 0.057457644614246975, 0.06386049214428921, 0.04923875844977099, -0.04934495526178331, -0.19490387757884994, 0.33628001036256444, 0.01802564106158001, 0.24527430916607057, 0.08404340967535973, 0.08346238643555565, 0.015489755680771183, 0.07202229329565768, -0.0028633068000777162, -0.1486674308979012, 0.08624026001340596, 0.16848591157978923, 0.044795722071677715, 0.293753180703108, -0.4631202505539647, -0.23257169713225992, 0.10451222077119264, 0.1427161721010163, 0.17775528481323943, -0.04738693644306053, -0.2909892697687924, 0.06722432690489998, -0.10155954806924723, -0.23369576300246467, -0.037129716096754126, 0.012720596889476124, 0.02864387398585677, -0.30224688321673615, 0.16581309760297588, 0.10086354849275483, 0.015273830511694331, -0.14163450177812534, -0.0035264721448472936, -0.08734089201952754, 0.053087102881592546, 0.00556732082267111, -0.012884072704816894, 0.045545324864093774, -0.13135955823675843, -0.1027039752956128, 0.39134953811215306, -0.07744518544008995, -0.2534907669726786, 0.19625038848586862, -0.14325922892911347, -0.0933063058257974, 0.1537148439833767, 0.16046669613779355, 0.10316514346091975, -0.12053915990973829, 0.08155921720581384, -0.03721495400668246, 0.18410570333731066, 0.05213635261405072, 0.07800930016506598, 0.1825337071413938, 0.16548054664657055, 0.10625765286930401, 0.15441552694240357, -0.05490329749873846, -0.11554386180979635, -0.3231707715141259, -0.12780260000538698, -0.18785288687895904, 0.08952620810807746, -0.036653162449013725, -0.21828717483783797, 0.4356149336065186, 0.1256521163012484, 0.17061378496276924, 0.013074535980365044, 0.2175943611806138, 0.19405045351197794, 0.02062642358230065, 0.037040806325192716, 0.22543078116911777, 0.17051302531915014, 0.09637857727847136, -0.28905957229033435, -0.020263933730747204, 0.09310263558123395] |
711.1896 | Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical
Lattices in One, Two and Three Dimensions | Numerous exact solutions to the nonlinear mean-field equations of motion are
constructed for multicomponent Bose-Einstein condensates on one, two, and three
dimensional optical lattices. We find both stationary and nonstationary
solutions, which are given in closed form. Among these solutions are a
vortex-anti-vortex array on the square optical lattice and modes in which two
or more components slosh back and forth between neighboring potential wells. We
obtain a variety of solutions for multicomponent condensates on the simple
cubic lattice, including a solution in which one condensate is at rest and the
other flows in a complex three-dimensional array of intersecting vortex lines.
A number of physically important solutions are stable for a range of parameter
values, as we show by direct numerical integration of the equations of motion.
| cond-mat.other | numerous exact solutions to the nonlinear meanfield equations of motion are constructed for multicomponent boseeinstein condensates on one two and three dimensional optical lattices we find both stationary and nonstationary solutions which are given in closed form among these solutions are a vortexantivortex array on the square optical lattice and modes in which two or more components slosh back and forth between neighboring potential wells we obtain a variety of solutions for multicomponent condensates on the simple cubic lattice including a solution in which one condensate is at rest and the other flows in a complex threedimensional array of intersecting vortex lines a number of physically important solutions are stable for a range of parameter values as we show by direct numerical integration of the equations of motion | [['numerous', 'exact', 'solutions', 'to', 'the', 'nonlinear', 'meanfield', 'equations', 'of', 'motion', 'are', 'constructed', 'for', 'multicomponent', 'boseeinstein', 'condensates', 'on', 'one', 'two', 'and', 'three', 'dimensional', 'optical', 'lattices', 'we', 'find', 'both', 'stationary', 'and', 'nonstationary', 'solutions', 'which', 'are', 'given', 'in', 'closed', 'form', 'among', 'these', 'solutions', 'are', 'a', 'vortexantivortex', 'array', 'on', 'the', 'square', 'optical', 'lattice', 'and', 'modes', 'in', 'which', 'two', 'or', 'more', 'components', 'slosh', 'back', 'and', 'forth', 'between', 'neighboring', 'potential', 'wells', 'we', 'obtain', 'a', 'variety', 'of', 'solutions', 'for', 'multicomponent', 'condensates', 'on', 'the', 'simple', 'cubic', 'lattice', 'including', 'a', 'solution', 'in', 'which', 'one', 'condensate', 'is', 'at', 'rest', 'and', 'the', 'other', 'flows', 'in', 'a', 'complex', 'threedimensional', 'array', 'of', 'intersecting', 'vortex', 'lines', 'a', 'number', 'of', 'physically', 'important', 'solutions', 'are', 'stable', 'for', 'a', 'range', 'of', 'parameter', 'values', 'as', 'we', 'show', 'by', 'direct', 'numerical', 'integration', 'of', 'the', 'equations', 'of', 'motion']] | [-0.18040448077499605, 0.1222318983200239, -0.020502988980297232, 0.024829001277794305, -0.04448490508366376, -0.14967811662791064, -0.007418443561618915, 0.3724344486981863, -0.22968411021429347, -0.2399924646888394, 0.1334326664218679, -0.2933488456401392, -0.11941737407141773, 0.2222337122384488, 0.06899485777830705, 0.06492727394936537, 0.036456280015045195, -0.002226735778094735, -0.045571465121611254, -0.2252325183189896, 0.3294255578657612, -0.0968142931615148, 0.26520133248413913, 0.006803199668866, 0.11794265186836128, -0.04103026192024117, 0.031072036680598103, 0.05539938478204931, -0.13745080605440307, 0.1046830521991069, 0.2188148812201689, 0.019818036143988138, 0.21718098323617596, -0.45912374269391876, -0.22447908375761472, 0.08631999217686825, 0.1771584119851468, 0.17903427263900085, -0.056290941726388155, -0.2775212328560883, 0.023719876349787228, -0.13191456902495702, -0.16464701918630453, -0.10580959907383658, 0.05489893723279238, 0.10492769166012295, -0.2721652917389292, 0.07128448343428317, 0.026298075219528982, 0.03834514526351995, -0.11397868991844007, -0.08823202179337386, -0.018550287117250264, 0.06252973373011628, -0.0027984613388980506, -0.029162666887714295, 0.03959249593754066, -0.17177235477794284, -0.08053716921676823, 0.40478965809597867, -0.06474211846216349, -0.24324339330632938, 0.22939075387694174, -0.11322989873588085, -0.06552630873920862, 0.1582324182272714, 0.17605738204656518, 0.11716921499464661, -0.13227365932107205, 0.04917837856692131, -0.0689612589594617, 0.12903557600657223, 0.10180903662694618, 0.037359351246777805, 0.2788816867323476, 0.13834239796051406, 0.06351875577951205, 0.14303289201325242, -0.055668446513664094, -0.186890500044683, -0.28779315208885237, -0.13724904581158626, -0.14543523513930268, 0.054038904227127205, -0.10116290068083345, -0.2078453516951413, 0.399152811476597, 0.08205748599129947, 0.20220675201358063, -0.004359673109320283, 0.254986809915863, 0.10997574339398852, 0.035397426294366596, 0.039402960135703324, 0.23267898891026562, 0.1297469928395003, 0.06445458300368045, -0.20917554068410027, -0.0835045914609509, 0.11833968306746101] |
711.1897 | Spherical Means in Odd Dimensions and EPD equations | The paper contains a simple proof of the Finch-Patch-Rakesh inversion formula
for the spherical mean Radon transform in odd dimensions. This transform arises
in thermoacoustic tomography. Applications are given to the Cauchy problem for
the Euler-Poisson-Darboux equation with initial data on the cylindrical
surface. The argument relies on the idea of analytic continuation and known
properties of Erdelyi-Kober fractional integrals.
| math.FA math.AP | the paper contains a simple proof of the finchpatchrakesh inversion formula for the spherical mean radon transform in odd dimensions this transform arises in thermoacoustic tomography applications are given to the cauchy problem for the eulerpoissondarboux equation with initial data on the cylindrical surface the argument relies on the idea of analytic continuation and known properties of erdelyikober fractional integrals | [['the', 'paper', 'contains', 'a', 'simple', 'proof', 'of', 'the', 'finchpatchrakesh', 'inversion', 'formula', 'for', 'the', 'spherical', 'mean', 'radon', 'transform', 'in', 'odd', 'dimensions', 'this', 'transform', 'arises', 'in', 'thermoacoustic', 'tomography', 'applications', 'are', 'given', 'to', 'the', 'cauchy', 'problem', 'for', 'the', 'eulerpoissondarboux', 'equation', 'with', 'initial', 'data', 'on', 'the', 'cylindrical', 'surface', 'the', 'argument', 'relies', 'on', 'the', 'idea', 'of', 'analytic', 'continuation', 'and', 'known', 'properties', 'of', 'erdelyikober', 'fractional', 'integrals']] | [-0.11015833745379064, 0.03295564643892665, -0.12123925359998593, 0.09464958051843095, -0.12359133883679317, -0.07797729115838468, -0.03580447639756978, 0.2862991116688413, -0.2754547857221658, -0.23659043497074458, 0.17514017121313866, -0.27985707774632057, -0.17664508044845978, 0.257273572639136, -0.09331174486147051, 0.11318887859756538, 0.03224619528105072, 0.026445313952705364, -0.12293509371831256, -0.1641152899739948, 0.3589350039897076, -0.05881381322140411, 0.2777783551008709, 0.03313228056837126, 0.12394308849628541, 0.060341317127695526, -0.07376591470960717, -0.08848052405578605, -0.16272604450883377, 0.1478720895716155, 0.19874026043877258, 0.10409287121778323, 0.2229579475361033, -0.4382723107681436, -0.18150034273769391, 0.09795007146145138, 0.13110511109895878, 0.07592605938345699, -0.07743979253711462, -0.2792252276755743, 0.02323403725621559, -0.06711529413143456, -0.2369753290105895, -0.03725816620419086, 0.06161931330748534, 0.025624367897793397, -0.2590377072061775, 0.13589466120100627, 0.11255253128454847, 0.05489108395778527, -0.13314767097422886, -0.11695839054251121, 0.029509410925083242, 0.043337515484289095, 0.053199878862222376, -0.004612971466208287, 0.061433998520596556, -0.08942748647986248, -0.07295095686942844, 0.35272931250727785, -0.02445441911636331, -0.29150548989300507, 0.11790165897079949, -0.1466182311681115, -0.11540785304791594, 0.14467728506552718, 0.13294344431704888, 0.16294467209254282, -0.11362372838371133, 0.17709971519120005, -0.07719695599654973, 0.10867166238189754, 0.12201627532525336, -0.027711961659113483, 0.10039915824782546, 0.12088809443353596, 0.0743646760692157, 0.20523255122667652, -0.0833931093388316, -0.09219774414422148, -0.35667119689001625, -0.21458798538009494, -0.26164621802962434, 0.10566978236281518, -0.08018765794345123, -0.25096313383872226, 0.36951220644858934, 0.07472929445300568, 0.11987988810623222, 0.060096239165987, 0.3146005389517394, 0.21488378814153247, 0.022402091496387274, 0.015545409655206347, 0.12237394479561155, 0.19862646036544593, 0.13332235869178075, -0.20539434122363642, -0.012039263961615703, 0.213118200521853] |
711.1898 | Production of $B_c$ or $\bar{B}_c$ meson and its excited states via
$\bar{t}$-quark or $t$-quark decays | The production of $(b\bar{c})$-quarkonium ($\bar{B}_c$ meson and its excited
states) or $(c\bar{b})$-quarkonium ($B_c$ meson and its excited states) via top
quark $t$ or top anti-quark $\bar{t}$ decays, $t\to (b\bar{c})+c+W^+$ or
$\bar{t}\to (c\bar{b})+\bar{c}+W^-$, respectively is studied within the
framework of NRQCD. In addition to the production of the two color-singlet
$S$-wave states $|(b\bar{c})(^1S_0)_{\bf 1}>$ or $|(c\bar{b})(^1S_0)_{\bf 1}>$
and $|(b\bar{c})(^3S_1)_{\bf 1}>$ or $|(c\bar{b})(^3S_1)_{\bf 1}>$, the
production of the $P$-wave excited $(b\bar{c})$ or $(c\bar{b})$ states, i.e.
the four color-singlet $P$-wave states $|(b\bar{c})(^1P_1)_{\bf 1}>$ or
$|(c\bar{b})(^1P_1)_{\bf 1}>$, and $(b\bar{c})(^3P_J)_{\bf 1}>$ or
$(c\bar{b})(^3P_J)_{\bf 1}>$ (with $J=(1,2,3)$), is also studied. According to
the velocity scaling rule of NRQCD, for the production of $P$-wave excited
states the contributions from the two color-octet components
$|(b\bar{c})(^1S_0)_{\bf 8}>$ or $|(c\bar{b})(^1S_0)_{\bf 8}>$ and
$|(b\bar{c})(^3S_1)_{\bf 8}>$ or $|(c\bar{b})(^3S_1)_{\bf 8}>$ are also taken
into account. We quantitatively discuss the possibility and the advantages in
experimental studies of $B_c$ or $\bar{B}_c$ meson and its excited states via
the indirect production at LHC in high luminosity runs and at LHC possible
upgraded versions such as SLHC, DLHC, TLHC etc. in future.
| hep-ph | the production of bbarcquarkonium barb_c meson and its excited states or cbarbquarkonium b_c meson and its excited states via top quark t or top antiquark bart decays tto bbarccw or bartto cbarbbarcw respectively is studied within the framework of nrqcd in addition to the production of the two colorsinglet swave states bbarc1s_0_bf 1 or cbarb1s_0_bf 1 and bbarc3s_1_bf 1 or cbarb3s_1_bf 1 the production of the pwave excited bbarc or cbarb states ie the four colorsinglet pwave states bbarc1p_1_bf 1 or cbarb1p_1_bf 1 and bbarc3p_j_bf 1 or cbarb3p_j_bf 1 with j123 is also studied according to the velocity scaling rule of nrqcd for the production of pwave excited states the contributions from the two coloroctet components bbarc1s_0_bf 8 or cbarb1s_0_bf 8 and bbarc3s_1_bf 8 or cbarb3s_1_bf 8 are also taken into account we quantitatively discuss the possibility and the advantages in experimental studies of b_c or barb_c meson and its excited states via the indirect production at lhc in high luminosity runs and at lhc possible upgraded versions such as slhc dlhc tlhc etc in future | [['the', 'production', 'of', 'bbarcquarkonium', 'barb_c', 'meson', 'and', 'its', 'excited', 'states', 'or', 'cbarbquarkonium', 'b_c', 'meson', 'and', 'its', 'excited', 'states', 'via', 'top', 'quark', 't', 'or', 'top', 'antiquark', 'bart', 'decays', 'tto', 'bbarccw', 'or', 'bartto', 'cbarbbarcw', 'respectively', 'is', 'studied', 'within', 'the', 'framework', 'of', 'nrqcd', 'in', 'addition', 'to', 'the', 'production', 'of', 'the', 'two', 'colorsinglet', 'swave', 'states', 'bbarc1s_0_bf', '1', 'or', 'cbarb1s_0_bf', '1', 'and', 'bbarc3s_1_bf', '1', 'or', 'cbarb3s_1_bf', '1', 'the', 'production', 'of', 'the', 'pwave', 'excited', 'bbarc', 'or', 'cbarb', 'states', 'ie', 'the', 'four', 'colorsinglet', 'pwave', 'states', 'bbarc1p_1_bf', '1', 'or', 'cbarb1p_1_bf', '1', 'and', 'bbarc3p_j_bf', '1', 'or', 'cbarb3p_j_bf', '1', 'with', 'j123', 'is', 'also', 'studied', 'according', 'to', 'the', 'velocity', 'scaling', 'rule', 'of', 'nrqcd', 'for', 'the', 'production', 'of', 'pwave', 'excited', 'states', 'the', 'contributions', 'from', 'the', 'two', 'coloroctet', 'components', 'bbarc1s_0_bf', '8', 'or', 'cbarb1s_0_bf', '8', 'and', 'bbarc3s_1_bf', '8', 'or', 'cbarb3s_1_bf', '8', 'are', 'also', 'taken', 'into', 'account', 'we', 'quantitatively', 'discuss', 'the', 'possibility', 'and', 'the', 'advantages', 'in', 'experimental', 'studies', 'of', 'b_c', 'or', 'barb_c', 'meson', 'and', 'its', 'excited', 'states', 'via', 'the', 'indirect', 'production', 'at', 'lhc', 'in', 'high', 'luminosity', 'runs', 'and', 'at', 'lhc', 'possible', 'upgraded', 'versions', 'such', 'as', 'slhc', 'dlhc', 'tlhc', 'etc', 'in', 'future']] | [-0.06315387906002438, 0.2954111357937288, -0.04907048098553138, 0.12067895659221822, 0.03032786844618571, -0.18596150842643563, 0.07703024183124138, 0.3123850209792708, -0.19872924396441952, -0.22884593185950902, 0.019853421119130722, -0.39884469957701907, 0.06897409220676941, 0.07274971510710752, 0.1560601173821469, 0.11243526974380028, 0.07146864317381268, 0.0513005018186797, -0.026721496841274082, -0.220226260969878, 0.34171215655685516, -0.06920683891720074, 0.18799316316730325, 0.18523182987775297, -0.013371288989949378, 0.015486113251050471, -0.0026845738056685275, -0.09305966902524418, -0.07706552376702967, 0.059942435985208625, 0.2107880533569801, 0.0806367284748822, 0.1504182847465869, -0.38091722031118, -0.06379317436337613, 0.08883404741167523, 0.1819432420981603, 0.0841446366149244, 0.011157112830810867, -0.3382788750218453, 0.1307002154640871, -0.25921493096894044, -0.10357556282690945, -0.04360542923603563, 0.0458349388932133, -0.08942576670488284, -0.3246761339236122, 0.07088619727711044, -0.011234897767211411, 0.022606444979608533, -0.040814536585840305, -0.26528329287127705, -0.08900754395160515, 0.028522979561536082, 0.07469698480644803, 0.07880467464732137, 0.16585637108648232, -0.18267027045315382, -0.21899244590264977, 0.3798167515949459, -0.08876660097224318, -0.1498571705832413, 0.19857669075962844, -0.14354109143019672, -0.11956422366676436, 0.0989166362964471, 0.18946771024708536, 0.06569963837784691, -0.1111603845622699, 0.06873406638587072, 0.07476040090962201, 0.12049519040942144, 0.08521658475629416, 0.10377358053781234, 0.17980753059445578, 0.1617995707175819, -0.06111219423793584, 0.08465881688983008, -0.12904285194476842, -0.045718715823133874, -0.37988356580352706, -0.16738291543309286, -0.09658228793733153, 0.05651877119330464, 0.008969414066434334, -0.05627539029617788, 0.40686898831809, 0.04957037220952237, 0.270995192728035, -0.013304529349752672, 0.31162216821626115, 0.08614058312025681, 0.05560899065854918, 0.11926482203802105, 0.3035524723588661, 0.1591323115892566, 0.10902962929741213, -0.2355765834892655, 0.014489415807613901, -0.0015646425034305093] |
711.1899 | Running Top quark mass in the presence of light SM Higgs | The running of the Top quark mass is considered in the nonperturbative
framework of the Schwinger-Dyson equation. Based on the input of physical pole
mass meassured at the Tevatron the method provides the resulting mass function
which is almost constant at low spacelike and timelike scales. The skeleton
loops including Standard Model Higgs and gluons are taken into account. The
dominant two-loop skeleton contribution with triplet Higgs interaction is
considered in addition to one loop dressed approximation of the top quark
self-energy.
| hep-ph | the running of the top quark mass is considered in the nonperturbative framework of the schwingerdyson equation based on the input of physical pole mass meassured at the tevatron the method provides the resulting mass function which is almost constant at low spacelike and timelike scales the skeleton loops including standard model higgs and gluons are taken into account the dominant twoloop skeleton contribution with triplet higgs interaction is considered in addition to one loop dressed approximation of the top quark selfenergy | [['the', 'running', 'of', 'the', 'top', 'quark', 'mass', 'is', 'considered', 'in', 'the', 'nonperturbative', 'framework', 'of', 'the', 'schwingerdyson', 'equation', 'based', 'on', 'the', 'input', 'of', 'physical', 'pole', 'mass', 'meassured', 'at', 'the', 'tevatron', 'the', 'method', 'provides', 'the', 'resulting', 'mass', 'function', 'which', 'is', 'almost', 'constant', 'at', 'low', 'spacelike', 'and', 'timelike', 'scales', 'the', 'skeleton', 'loops', 'including', 'standard', 'model', 'higgs', 'and', 'gluons', 'are', 'taken', 'into', 'account', 'the', 'dominant', 'twoloop', 'skeleton', 'contribution', 'with', 'triplet', 'higgs', 'interaction', 'is', 'considered', 'in', 'addition', 'to', 'one', 'loop', 'dressed', 'approximation', 'of', 'the', 'top', 'quark', 'selfenergy']] | [-0.10054943999900233, 0.2071531232809875, -0.09547499722869295, 0.14023727882602366, -0.08387446577558522, -0.12201059532987817, 0.012065878737059126, 0.3223796080252746, -0.18004461467584096, -0.25829753300129643, -0.013138239058983944, -0.282803795414, -0.01444523055787857, 0.11341439472318332, 0.08941474261057632, 0.07414967288467579, 0.06525141723090555, 0.05217489646747708, -0.039492127357800375, -0.25423658843771213, 0.37938055887295885, -0.016353086119790267, 0.21457125373729846, 0.17481618872048652, 0.12853383735140286, 0.026608552069619026, -0.04132822934515411, -0.07938639934333723, -0.04208857181095859, 0.04555795847001008, 0.13569794950663203, 0.03068652892735128, 0.1604197369888425, -0.36498190605127045, -0.12092369975999179, 0.026349008446786462, 0.16376130761601393, 0.09644741262167283, -0.002385726140346378, -0.2750342317811418, 0.06241311755871809, -0.1758964647675251, -0.15272336701930658, -0.04087919326181092, -0.0652091329712875, -0.12870988515546408, -0.3042236064765148, 0.08833989857627851, -0.05090595781235251, -0.033460905889003745, -0.033741100276706786, -0.21018395416165997, -0.11234140906074061, 0.12219687248580158, 0.12335800458024052, 0.10296687870513557, 0.1548405857274036, -0.20395561394980177, -0.08947858527280027, 0.4001763627705414, -0.11784686808042773, -0.1924781935437151, 0.11849799004054015, -0.1882975560658407, -0.09467776126523571, 0.1495352753313122, 0.1971870090999845, 0.09403521819721634, -0.20941741067189268, 0.20084825945945695, -0.007715422478390903, 0.12541053326028148, 0.06723986526031228, 0.028343768447506947, 0.2255521116369381, 0.20827135050998682, -0.010391438504817283, 0.07726760957072057, -0.06639240296250891, -0.1572567177652495, -0.4346283799627932, -0.09125186632410055, -0.08937653926451032, 0.0035948530691335113, -0.1447119694313165, -0.20496913804331932, 0.4109922099841486, 0.11049478394604038, 0.2366231177683647, 0.02694856996858129, 0.3702059655291278, 0.1573961209285743, 0.15458390229131755, 0.08790824978566933, 0.29477606013008373, 0.16396171206937785, 0.10426863440221584, -0.2759798329959555, -0.0016938889223128194, 0.1753629467211573] |
711.19 | Intrinsic Spin Hall Effect Induced by Quantum Phase Transition in HgCdTe
Quantum Wells | Spin Hall effect can be induced both by the extrinsic impurity scattering and
by the intrinsic spin-orbit coupling in the electronic structure. The HgTe/CdTe
quantum well has a quantum phase transition where the electronic structure
changes from normal to inverted. We show that the intrinsic spin Hall effect of
the conduction band vanishes on the normal side, while it is finite on the
inverted side. This difference gives a direct mechanism to experimentally
distinguish the intrinsic spin Hall effect from the extrinsic one.
| cond-mat.mes-hall cond-mat.other | spin hall effect can be induced both by the extrinsic impurity scattering and by the intrinsic spinorbit coupling in the electronic structure the hgtecdte quantum well has a quantum phase transition where the electronic structure changes from normal to inverted we show that the intrinsic spin hall effect of the conduction band vanishes on the normal side while it is finite on the inverted side this difference gives a direct mechanism to experimentally distinguish the intrinsic spin hall effect from the extrinsic one | [['spin', 'hall', 'effect', 'can', 'be', 'induced', 'both', 'by', 'the', 'extrinsic', 'impurity', 'scattering', 'and', 'by', 'the', 'intrinsic', 'spinorbit', 'coupling', 'in', 'the', 'electronic', 'structure', 'the', 'hgtecdte', 'quantum', 'well', 'has', 'a', 'quantum', 'phase', 'transition', 'where', 'the', 'electronic', 'structure', 'changes', 'from', 'normal', 'to', 'inverted', 'we', 'show', 'that', 'the', 'intrinsic', 'spin', 'hall', 'effect', 'of', 'the', 'conduction', 'band', 'vanishes', 'on', 'the', 'normal', 'side', 'while', 'it', 'is', 'finite', 'on', 'the', 'inverted', 'side', 'this', 'difference', 'gives', 'a', 'direct', 'mechanism', 'to', 'experimentally', 'distinguish', 'the', 'intrinsic', 'spin', 'hall', 'effect', 'from', 'the', 'extrinsic', 'one']] | [-0.15356188702834658, 0.22666219158479609, -0.07266515860311597, 0.08105816616373787, -0.10386370756966343, -0.15328151435333204, 0.060793590998411716, 0.36757234638803693, -0.3514786130153989, -0.27477116819964836, 0.03367517286973321, -0.30840896170990295, -0.18961179459534855, 0.1725329890993076, 0.04369071691510189, -0.0297217954802944, -0.06664132614092655, -0.019361209045781428, -0.13570139748717558, -0.14840481461149202, 0.33634863189612346, -0.007168403083279011, 0.3329341008260577, 0.12183839169678738, 0.084426148654332, 0.029440623371446706, 0.10682486727025854, 0.04401731883815254, -0.08562608470735968, 0.031128470931172016, 0.2139103262831109, -0.1555836379460721, 0.14527329338534947, -0.42808228407997684, -0.1791997361726251, 0.00536177119139178, 0.0766689702531839, 0.19760666676258376, -0.06838915923733759, -0.31160715915801296, 0.02856686560953238, -0.16542338420558406, -0.06653334679508424, -0.032413813397737155, 0.0030642722127398095, -0.12826607266443793, -0.19917444608325743, 0.12001555912331285, 0.11586439882332167, 0.025303514393787068, -0.03219636485362089, -0.13540664724781212, -0.10341685446237314, 0.14362897585897919, 0.02232619591270495, 0.001885558439261583, 0.1663882303499078, -0.12356275872955749, -0.15990353308909808, 0.361549267837082, -0.0954518486038748, -0.19118730989789748, 0.12574104802032193, -0.2224595816020506, 0.0028099223118589586, 0.11880492282111242, 0.10927248070667307, 0.03180902700377516, -0.06882155473562833, 0.13295042643769567, -0.016347639767610164, 0.14706120157547026, -0.01997624033590756, 0.09446376112727337, 0.28266786115176706, 0.1462483569553279, 0.06964544945183289, 0.14811484361802374, -0.1845297804495028, -0.05703085830367832, -0.22013735528810915, -0.17846073936783227, -0.24247453951961304, 0.15881621772535595, -0.05872534404327134, -0.19368612343243446, 0.42620126321822044, 0.13333801159365888, 0.19920240518782872, -0.0816633373117411, 0.30936141065826794, 0.1583851322486817, 0.07786286347377372, 0.011758204729083073, 0.28777182368135235, 0.1896709820356624, 0.0635437039147883, -0.4113861201443227, 0.14238632846825633, -0.008304612671799329] |
711.1901 | Invariant classification of the rotationally symmetric R-separable webs
for the Laplace equation in Euclidean space | An invariant characterization of the rotationally symmetric R-separable webs
for the Laplace equation in Euclidean space is given in terms of invariants and
covariants of a real binary quartic canonically associated to the
characteristic conformal Killing tensor which defines the webs.
| math-ph math.MP | an invariant characterization of the rotationally symmetric rseparable webs for the laplace equation in euclidean space is given in terms of invariants and covariants of a real binary quartic canonically associated to the characteristic conformal killing tensor which defines the webs | [['an', 'invariant', 'characterization', 'of', 'the', 'rotationally', 'symmetric', 'rseparable', 'webs', 'for', 'the', 'laplace', 'equation', 'in', 'euclidean', 'space', 'is', 'given', 'in', 'terms', 'of', 'invariants', 'and', 'covariants', 'of', 'a', 'real', 'binary', 'quartic', 'canonically', 'associated', 'to', 'the', 'characteristic', 'conformal', 'killing', 'tensor', 'which', 'defines', 'the', 'webs']] | [-0.2082285765649342, 0.09812278717666831, -0.06688000929610032, 0.06732301406346534, -0.12562173795772763, -0.0711524989796666, -0.1504296173409718, 0.2838515318566706, -0.2829602412402448, -0.1563093980728853, 0.06424333634374595, -0.265051015879868, -0.2337732427730793, 0.12869005173263026, -0.05731344777272969, 0.030352532500173987, 0.00246731610968709, 0.13965250501727186, -0.15939825317799683, -0.27890255134098413, 0.4685208324978991, -0.024911464737137644, 0.23106440551942442, 0.008058938038785284, 0.1797061175471399, 0.023488835022762056, -0.03796142024533233, -0.04023385950912176, -0.15078054543402863, 0.1563196723837769, 0.25882510927210495, 0.09221090544469474, 0.07254687937476285, -0.31891733135392025, -0.13692740760118952, 0.21109619627638562, 0.14175160458629452, 0.015600799477840887, 0.03734112670077238, -0.3284113250542205, 0.07322880068067007, -0.12584645133011224, -0.20972988368352738, -0.11707513125204458, 0.06873991572093673, -0.04876913814116894, -0.23709627495306293, 0.06127185625501159, 0.08883371131449211, 0.09189630204402818, -0.15755388575674192, -0.048267659820650316, -0.12722478897833242, 0.029466877452938293, 0.02107961273116128, 0.05171114716553924, 0.0648656837165174, -0.13418652821423077, -0.14840344889316617, 0.38217184688078193, -0.09491206785073368, -0.3694903324017437, 0.07301714945947979, -0.131044809570218, -0.13335639731277052, 0.15810321506521688, 0.15942102300412045, 0.1761784623490601, -0.1603590774054571, 0.2044778434409215, -0.05542735724778074, 0.03405917268643928, 0.09560054542905674, -0.035544685417468226, 0.2020870858757961, 0.02298395331131249, 0.05468066744279207, 0.1919656341282151, 0.03901919792832171, -0.15934467129409313, -0.3828180341458902, -0.2329226922181367, -0.17325326958784787, 0.1683751151374564, -0.20649941372308914, -0.253858784440814, 0.40997780613010615, -0.04226215095891015, 0.16725259044962912, 0.09482001013792597, 0.17695707096377525, 0.11623378020779389, 0.10945802302349632, 0.03749894911335304, 0.13580400161104414, 0.22264000318558297, 0.027031975420668902, -0.1896531453992172, -0.041261622739001746, 0.17398199794541408] |
711.1902 | Mid-Infrared Spectroscopy of Lensed Galaxies at 1<z<3: The Nature of
Sources Near the MIPS Confusion Limit | We present Spitzer/IRS mid-infrared spectra for 15 gravitationally lensed, 24
micron--selected galaxies, and combine the results with 4 additional very faint
galaxies with IRS spectra in the literature. The median intrinsic 24 micron
flux density of the sample is 130 microJy, enabling a systematic survey of the
spectral properties of the very faint 24 micron sources that dominate the
number counts of Spitzer cosmological surveys. Six of the 19 galaxy spectra
(32%) show the strong mid-IR continuua expected of AGN; X-ray detections
confirm the presence of AGN in three of these cases, and reveal AGNs in two
other galaxies. These results suggest that nuclear accretion may contribute
more flux to faint 24 micron--selected samples than previously assumed. Almost
all the spectra show some aromatic (PAH) emission features; the measured
aromatic flux ratios do not show evolution from z=0. In particular, the high
S/N mid-IR spectrum of SMM J163554.2+661225 agrees remarkably well with
low--redshift, lower--luminosity templates. We compare the rest-frame 8 micron
and total infrared luminosities of star--forming galaxies, and find that the
behavior of this ratio with total IR luminosity has evolved modestly from z=2
to z=0. Since the high aromatic--to--continuum flux ratios in these galaxies
rule out a dominant contribution by AGN, this finding implies systematic
evolution in the structure and/or metallicity of infrared sources with
redshift. It also has implications for the estimates of star forming rates
inferred from 24 micron measurements, in the sense that at z ~2, a given
observed frame 24 micron luminosity corresponds to a lower bolometric
luminosity than would be inferred from low-redshift templates of similar
luminosity at the corresponding rest wavelength.
| astro-ph | we present spitzerirs midinfrared spectra for 15 gravitationally lensed 24 micronselected galaxies and combine the results with 4 additional very faint galaxies with irs spectra in the literature the median intrinsic 24 micron flux density of the sample is 130 microjy enabling a systematic survey of the spectral properties of the very faint 24 micron sources that dominate the number counts of spitzer cosmological surveys six of the 19 galaxy spectra 32 show the strong midir continuua expected of agn xray detections confirm the presence of agn in three of these cases and reveal agns in two other galaxies these results suggest that nuclear accretion may contribute more flux to faint 24 micronselected samples than previously assumed almost all the spectra show some aromatic pah emission features the measured aromatic flux ratios do not show evolution from z0 in particular the high sn midir spectrum of smm j1635542661225 agrees remarkably well with lowredshift lowerluminosity templates we compare the restframe 8 micron and total infrared luminosities of starforming galaxies and find that the behavior of this ratio with total ir luminosity has evolved modestly from z2 to z0 since the high aromatictocontinuum flux ratios in these galaxies rule out a dominant contribution by agn this finding implies systematic evolution in the structure andor metallicity of infrared sources with redshift it also has implications for the estimates of star forming rates inferred from 24 micron measurements in the sense that at z 2 a given observed frame 24 micron luminosity corresponds to a lower bolometric luminosity than would be inferred from lowredshift templates of similar luminosity at the corresponding rest wavelength | [['we', 'present', 'spitzerirs', 'midinfrared', 'spectra', 'for', '15', 'gravitationally', 'lensed', '24', 'micronselected', 'galaxies', 'and', 'combine', 'the', 'results', 'with', '4', 'additional', 'very', 'faint', 'galaxies', 'with', 'irs', 'spectra', 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'z', '2', 'a', 'given', 'observed', 'frame', '24', 'micron', 'luminosity', 'corresponds', 'to', 'a', 'lower', 'bolometric', 'luminosity', 'than', 'would', 'be', 'inferred', 'from', 'lowredshift', 'templates', 'of', 'similar', 'luminosity', 'at', 'the', 'corresponding', 'rest', 'wavelength']] | [-0.007119160857479046, 0.07843496664835543, -0.048918584812347385, 0.12017762483186227, -0.04810558245239307, -0.05505740660965554, 0.04168076953527504, 0.48563300544368243, -0.08625447223790046, -0.3770062617345977, 0.017916126162380176, -0.34100327653108414, 0.004355561889646359, 0.1815317606326686, -0.011231513854216979, -0.04414859626775802, 0.01615998413763009, -0.1585608967466961, -0.04065189576214101, -0.2927402968231687, 0.2689856275318385, 0.0947170959222617, 0.20663180137565706, -0.04778362420881028, 0.03562586042124764, -0.1374381226305016, -0.1628178136906267, -0.03655060041393962, -0.15644848581680199, 0.0323196274311796, 0.28943918951884356, 0.08490515958844448, 0.175572867954407, 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711.1903 | Shape of Heteroepitaxial Island Determined by Asymmetric Detachment | Square lattice gas models for heteroepitaxial growth are studied by means of
kinetic Monte Carlo simulations, in order to find a possible origin of
anisotropic island shape observed in growth experiments of long organic
molecules. When deposited molecules form clusters irreversibly at their
encounter during surface diffusion, islands grow in a ramified dendritic shape,
similar to DLA. Introduction of molecular detachment from edges makes islands
compact with smooth edges. Tilting of adsorbed long molecules or steps in a
vicinal substrate may induce orientation-dependence in the detachment rate of
edge molecules from an island. In simulations with orientation-dependent
detachment rates, a clear anisotropy in an island shape is observed. Shape
anisotropy on a vicinal substrate is enhanced as steps get dense, in agreement
to the experimental observation.
| cond-mat.mtrl-sci | square lattice gas models for heteroepitaxial growth are studied by means of kinetic monte carlo simulations in order to find a possible origin of anisotropic island shape observed in growth experiments of long organic molecules when deposited molecules form clusters irreversibly at their encounter during surface diffusion islands grow in a ramified dendritic shape similar to dla introduction of molecular detachment from edges makes islands compact with smooth edges tilting of adsorbed long molecules or steps in a vicinal substrate may induce orientationdependence in the detachment rate of edge molecules from an island in simulations with orientationdependent detachment rates a clear anisotropy in an island shape is observed shape anisotropy on a vicinal substrate is enhanced as steps get dense in agreement to the experimental observation | [['square', 'lattice', 'gas', 'models', 'for', 'heteroepitaxial', 'growth', 'are', 'studied', 'by', 'means', 'of', 'kinetic', 'monte', 'carlo', 'simulations', 'in', 'order', 'to', 'find', 'a', 'possible', 'origin', 'of', 'anisotropic', 'island', 'shape', 'observed', 'in', 'growth', 'experiments', 'of', 'long', 'organic', 'molecules', 'when', 'deposited', 'molecules', 'form', 'clusters', 'irreversibly', 'at', 'their', 'encounter', 'during', 'surface', 'diffusion', 'islands', 'grow', 'in', 'a', 'ramified', 'dendritic', 'shape', 'similar', 'to', 'dla', 'introduction', 'of', 'molecular', 'detachment', 'from', 'edges', 'makes', 'islands', 'compact', 'with', 'smooth', 'edges', 'tilting', 'of', 'adsorbed', 'long', 'molecules', 'or', 'steps', 'in', 'a', 'vicinal', 'substrate', 'may', 'induce', 'orientationdependence', 'in', 'the', 'detachment', 'rate', 'of', 'edge', 'molecules', 'from', 'an', 'island', 'in', 'simulations', 'with', 'orientationdependent', 'detachment', 'rates', 'a', 'clear', 'anisotropy', 'in', 'an', 'island', 'shape', 'is', 'observed', 'shape', 'anisotropy', 'on', 'a', 'vicinal', 'substrate', 'is', 'enhanced', 'as', 'steps', 'get', 'dense', 'in', 'agreement', 'to', 'the', 'experimental', 'observation']] | [-0.11610977788315346, 0.1912027107173344, -0.05830638424404675, 0.02999057701330573, -0.006453160741662104, -0.12354886168170542, 0.024382549123690714, 0.4466621066325359, -0.2569964862415209, -0.29814083327997537, 0.0025664130780136303, -0.2976474734836273, -0.10408879897838073, 0.15004274693487715, 0.017800790795479856, -0.0132689829472275, 0.06719153230115475, -0.0732849355461815, 0.004478504437313873, -0.24052849596473463, 0.20669094001456711, 0.11002656714325505, 0.28646408835248577, 0.061185594734972315, 0.05659229049296488, -0.041991981197266826, 0.06294232950035837, 0.0024751577496765153, -0.2460123550605088, 0.06457659185703267, 0.2160788838402426, -0.09845733649692395, 0.19594947387471737, -0.5673547761721743, -0.2068339104852861, 0.020888400271475788, 0.1870333647922731, 0.15963807313274297, -0.09963859681368968, -0.21436077016516633, 0.010700347323325417, -0.08737218088751274, -0.1590214245841794, 0.022254334298879026, 0.04670160047022537, 0.07426512973024584, -0.24111388979243145, 0.11418966652588948, 0.040531383503952786, 0.09795327064034248, -0.04532267457351924, -0.07724226204427107, -0.13166629822762121, 0.06973786889653956, 0.02413909569925939, 0.028914277981375417, 0.2617655621235451, -0.11479405391340454, -0.08137422739454205, 0.3471318074605531, -0.05688441659246261, -0.10423308006110824, 0.21836836069142299, -0.20235830127531368, -0.10545654844174841, 0.25255913383490036, 0.16596257996316705, 0.09164650914155775, -0.09427965287775603, 0.043975267086237196, 0.015508464153205592, 0.18610636028091584, 0.11492536626830106, -0.04516410878689688, 0.23786115254615509, 0.2303394157391426, 0.06114431514888854, 0.14728286431082302, -0.12240562585574234, -0.10797037793524815, -0.19230336410414783, -0.16488435359843562, -0.21621058007613533, 0.07143795789976601, -0.0889120208441801, -0.2174865513788684, 0.3135075230476639, 0.05203506789661737, 0.2615651311131105, -0.0214746049309652, 0.20829350121747997, 0.0018432200932505703, 0.09856065334558177, 0.00017447507984581448, 0.18255082010808918, 0.13235497312982464, 0.04790964322016826, -0.2337475621588676, 0.1493592518049159, 0.04085677223546164] |
711.1904 | Late Reheating of the IGM by Quasars: A Radiation Hydrodynamical
Simulation of Helium II Reionization | We study the ionization and thermal evolution of the intergalactic medium
during the epoch of \heii reionization by means of radiation hydrodynamical
cosmological simulations. We post-process baryonic density fields from a
standard optically-thin IGM simulation with a homogeneous galaxy-dominated UV
background (UVB) which reionizes \hi and \hei at z=6.5 but does not have any
contribution to the ionization of \heii. Quasars with luminosities proportional
to the mass of the host halos are then introduced as point sources throughout
the 100 Mpc simulation volume consistent with the Pei luminosity function. We
evolve the spatial distribution of the \heii ionizing radiation field using a
time-implicit variable tensor Eddington factor radiative transfer scheme.
Simultaneously, we also solve for the local ionization of \heii to \heii and
the associated photoheating of the gas. We find that the percolation of the
\heiii regions is essentially complete by z=2.5. When comparing to a
self-consistent optically thin simulation we find that in optically thick
calculation the gas temperature is higher by a factor of approximately 1.7 at
the mean gas density level. We use 300 random lines of sight to compute at
$\bar{z} = 2.5 \pm 0.1$ a mean \heii \lya line transmission of $\bar{F} = 0.304
\pm 0.002$. We compare the broadening width of the \hi and \heii \lya lines to
the results from the self-consistent optically thin simulation and find a shift
by approximately 1.25 km/s of the b-parameter distribution. Estimating the
relative broadening width between the two forests shows that the \heii median
b-parameter is about 0.8 times the median \hi broadening width. This implies
that the \heii absorbers are physically extended consistent with conclusions
from observed lines of sight.
| astro-ph | we study the ionization and thermal evolution of the intergalactic medium during the epoch of heii reionization by means of radiation hydrodynamical cosmological simulations we postprocess baryonic density fields from a standard opticallythin igm simulation with a homogeneous galaxydominated uv background uvb which reionizes hi and hei at z65 but does not have any contribution to the ionization of heii quasars with luminosities proportional to the mass of the host halos are then introduced as point sources throughout the 100 mpc simulation volume consistent with the pei luminosity function we evolve the spatial distribution of the heii ionizing radiation field using a timeimplicit variable tensor eddington factor radiative transfer scheme simultaneously we also solve for the local ionization of heii to heii and the associated photoheating of the gas we find that the percolation of the heiii regions is essentially complete by z25 when comparing to a selfconsistent optically thin simulation we find that in optically thick calculation the gas temperature is higher by a factor of approximately 17 at the mean gas density level we use 300 random lines of sight to compute at barz 25 pm 01 a mean heii lya line transmission of barf 0304 pm 0002 we compare the broadening width of the hi and heii lya lines to the results from the selfconsistent optically thin simulation and find a shift by approximately 125 kms of the bparameter distribution estimating the relative broadening width between the two forests shows that the heii median bparameter is about 08 times the median hi broadening width this implies that the heii absorbers are physically extended consistent with conclusions from observed lines of sight | [['we', 'study', 'the', 'ionization', 'and', 'thermal', 'evolution', 'of', 'the', 'intergalactic', 'medium', 'during', 'the', 'epoch', 'of', 'heii', 'reionization', 'by', 'means', 'of', 'radiation', 'hydrodynamical', 'cosmological', 'simulations', 'we', 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711.1905 | Dynamics with choice | Dynamics with choice is a generalization of discrete-time dynamics where
instead of the same evolution operator at every time step there is a choice of
operators to transform the current state of the system. This notion is new and
interesting from the mathematical point of view. At the same time, many real
life processes studied in chemical physics, engineering, biology and medicine,
from autocatalytic reaction systems to switched systems to cellular biochemical
processes to malaria transmission in urban environments, exhibit the properties
described by dynamics with choice. We study the long-term behavior in dynamics
with choice.
| math.DS math.CA | dynamics with choice is a generalization of discretetime dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the current state of the system this notion is new and interesting from the mathematical point of view at the same time many real life processes studied in chemical physics engineering biology and medicine from autocatalytic reaction systems to switched systems to cellular biochemical processes to malaria transmission in urban environments exhibit the properties described by dynamics with choice we study the longterm behavior in dynamics with choice | [['dynamics', 'with', 'choice', 'is', 'a', 'generalization', 'of', 'discretetime', 'dynamics', 'where', 'instead', 'of', 'the', 'same', 'evolution', 'operator', 'at', 'every', 'time', 'step', 'there', 'is', 'a', 'choice', 'of', 'operators', 'to', 'transform', 'the', 'current', 'state', 'of', 'the', 'system', 'this', 'notion', 'is', 'new', 'and', 'interesting', 'from', 'the', 'mathematical', 'point', 'of', 'view', 'at', 'the', 'same', 'time', 'many', 'real', 'life', 'processes', 'studied', 'in', 'chemical', 'physics', 'engineering', 'biology', 'and', 'medicine', 'from', 'autocatalytic', 'reaction', 'systems', 'to', 'switched', 'systems', 'to', 'cellular', 'biochemical', 'processes', 'to', 'malaria', 'transmission', 'in', 'urban', 'environments', 'exhibit', 'the', 'properties', 'described', 'by', 'dynamics', 'with', 'choice', 'we', 'study', 'the', 'longterm', 'behavior', 'in', 'dynamics', 'with', 'choice']] | [-0.11620591960672755, 0.11992845791974105, -0.08590362209633895, 0.030081565222909983, -0.02374445944830465, -0.1217442296911031, 0.05060696768729637, 0.3350693633571306, -0.3349990740728875, -0.24883634222593778, 0.09837649113251246, -0.24795571661767704, -0.21334067845358126, 0.18957308467361145, -0.048025356363117076, 0.040655011961158984, 0.046316508970145755, 0.015238012970561007, 0.008098885863243291, -0.19555751243024133, 0.3043054543110581, 0.06608782075636555, 0.2902863480170102, -0.00273733387196747, 0.10758246556603505, 0.019108860794707045, 0.0028052024038818977, -0.040194741547262915, -0.1097400295548141, 0.07287479880809163, 0.3140317269717343, 0.14877781444617236, 0.30648250529096305, -0.4337869280943778, -0.2809226541042638, 0.12482789191805448, 0.10627726622624323, 0.09688641626174406, -0.050199960659180455, -0.2515859379297278, 0.010475523983283589, -0.10021724659115232, -0.1797266299884844, -0.026940542709780857, 0.043389626138377935, 0.03179787522822153, -0.23326890578027815, 0.027278131048660725, 0.014098331790592056, 0.12006703330628928, -0.06515402679603237, -0.07561405089775992, -0.031825206371043656, 0.16258290722422922, 0.008788870722734524, -0.024490287979460845, 0.1969159231418113, -0.13478288206533762, -0.16005522612734543, 0.4218247270522018, -0.04892086373123069, -0.21928171809607497, 0.24038193428714294, -0.1776782417097517, -0.1758584709605202, 0.10642505044233985, 0.19701280580920866, 0.07916715770261362, -0.2047449438929713, 0.07879231294411208, 0.03197386132524116, 0.14385583156793777, 0.02598048618528992, 0.04245090294474115, 0.17805452050136714, 0.26144957590925816, 0.06194207303087751, 0.08786369954759721, 0.024227469172425724, -0.2171185168166024, -0.2467375781464701, -0.12241872232213306, -0.13771279356054342, 0.10193758803264548, -0.05807795140784341, -0.15847225095300624, 0.4063613355295577, 0.15199608253897168, 0.16814249175403498, 0.005753515739343129, 0.2538036860447998, 0.12963472731644288, 0.032971437452943064, 0.028680729374173097, 0.15216380804486107, 0.1060771476404625, 0.1876852976323183, -0.2427968494897262, 0.11455233560991473, 0.04163449821741475] |
711.1906 | Loop groups and twisted K-theory I | This is the first in a series of papers investigating the relationship
between the twisted equivariant K-theory of a compact Lie group G and the
"Verlinde ring" of its loop group. In this paper we set up the foundations of
twisted equivariant K-groups, and more generally twisted K-theory of groupoids.
We establish enough basic properties to make effective computations. Using the
Mayer-Vietoris spectral sequence we compute the twisted equivariant K-groups of
a compact connected Lie group G with torsion free fundamental group. We relate
this computation to the representation theory of the loop group at a level
related to the twisting.
| math.AT hep-th math.KT math.RT | this is the first in a series of papers investigating the relationship between the twisted equivariant ktheory of a compact lie group g and the verlinde ring of its loop group in this paper we set up the foundations of twisted equivariant kgroups and more generally twisted ktheory of groupoids we establish enough basic properties to make effective computations using the mayervietoris spectral sequence we compute the twisted equivariant kgroups of a compact connected lie group g with torsion free fundamental group we relate this computation to the representation theory of the loop group at a level related to the twisting | [['this', 'is', 'the', 'first', 'in', 'a', 'series', 'of', 'papers', 'investigating', 'the', 'relationship', 'between', 'the', 'twisted', 'equivariant', 'ktheory', 'of', 'a', 'compact', 'lie', 'group', 'g', 'and', 'the', 'verlinde', 'ring', 'of', 'its', 'loop', 'group', 'in', 'this', 'paper', 'we', 'set', 'up', 'the', 'foundations', 'of', 'twisted', 'equivariant', 'kgroups', 'and', 'more', 'generally', 'twisted', 'ktheory', 'of', 'groupoids', 'we', 'establish', 'enough', 'basic', 'properties', 'to', 'make', 'effective', 'computations', 'using', 'the', 'mayervietoris', 'spectral', 'sequence', 'we', 'compute', 'the', 'twisted', 'equivariant', 'kgroups', 'of', 'a', 'compact', 'connected', 'lie', 'group', 'g', 'with', 'torsion', 'free', 'fundamental', 'group', 'we', 'relate', 'this', 'computation', 'to', 'the', 'representation', 'theory', 'of', 'the', 'loop', 'group', 'at', 'a', 'level', 'related', 'to', 'the', 'twisting']] | [-0.2308251778998569, 0.07219576318102824, -0.13646919783758055, 0.08757146119398276, -0.1320433675929314, -0.07846491101963243, 0.018905095144009013, 0.39664218740740625, -0.345623154266931, -0.24747894289396186, 0.09737199497879437, -0.17466813499352313, -0.17825377522276178, 0.18437160315490006, -0.16237993972199638, -0.04584917184000024, 0.041887905693032065, 0.1403910444385492, -0.1402061070490739, -0.21698544570734715, 0.44061632748891477, 0.037173248523163914, 0.22009753888832534, 0.02322872411136949, 0.061838380102584564, -0.015492700579769836, -0.07025243941288774, -0.030966170661215955, -0.12286857908388765, 0.23473223646189834, 0.28470233645022724, -0.030377190726080742, 0.1922201077444571, -0.3929652442030682, -0.1207475101017384, 0.14780702534140927, 0.08893392815503597, 0.01147127193070275, -0.006376415471077233, -0.2716990940752301, 0.13284695509470779, -0.2480957111249226, -0.1439192395721848, -0.08522203741687359, 0.07205936484647417, -0.02923089129582859, -0.1676332562663915, -0.02430596880731173, 0.019460643904449623, 0.13205110387747535, -0.05266272373575865, -0.023640212187967677, -0.04635386934531576, 0.19207007356684214, -0.00742939644786218, 0.02548810323881271, 0.14235641571259736, -0.1046558628803912, -0.12689149378808123, 0.39610317644045345, -0.07836217750417124, -0.14259278833275973, 0.12264269292539004, -0.19253864998256068, -0.2502479613989149, 0.10460897556755065, 0.05638289683968714, 0.1817056355481543, 0.005210962662897487, 0.14641173397730298, -0.10573770263518142, 0.06913746677576518, 0.055281263776123524, -0.02559831501491884, 0.16175053268671036, 0.0910604381150022, 0.04703394602551955, 0.13485104989924349, 0.03342111204926035, -0.031053904840482933, -0.3720278380125171, -0.2357130761783902, -0.08646574405731984, 0.1577051869722655, -0.08734995279303236, -0.18542354562697877, 0.46945020631140116, 0.12099868337632996, 0.16696009389355337, 0.13988140192214804, 0.24047572331705896, 0.10007405508033548, 0.06708637963851342, 0.06659422301696521, 0.11176642792594463, 0.3228355264521693, -0.05832045623055189, -0.17884514662022194, -0.12808921747140145, 0.25401403953662455] |
711.1907 | Electric dipole moments of actinide atoms and RaO molecule | We have calculated the atomic electric dipole moments (EDMs) induced in 229Pa
and 225Ac by their respective nuclear Schiff moments S. The results are
d(229Pa)= - 9.5 10^{-17} [S/(e fm)] e cm= - 1.1 10^{-20} \eta e cm; d(225Ac})=-
8.6 10^{-17} [S/(e fm)] e cm=- 0.8 10^{-21} \eta e cm. EDM of 229 Pa is 3 10^4
times larger than 199Hg EDM and 40 times larger than 225Ra EDM. Possible use of
actinides in solid state experiments is also discussed. The T,P-odd spin-axis
interaction in RaO molecule is 500 times larger than in TlF.
| physics.atom-ph hep-ph nucl-th | we have calculated the atomic electric dipole moments edms induced in 229pa and 225ac by their respective nuclear schiff moments s the results are d229pa 95 1017 se fm e cm 11 1020 eta e cm d225ac 86 1017 se fm e cm 08 1021 eta e cm edm of 229 pa is 3 104 times larger than 199hg edm and 40 times larger than 225ra edm possible use of actinides in solid state experiments is also discussed the tpodd spinaxis interaction in rao molecule is 500 times larger than in tlf | [['we', 'have', 'calculated', 'the', 'atomic', 'electric', 'dipole', 'moments', 'edms', 'induced', 'in', '229pa', 'and', '225ac', 'by', 'their', 'respective', 'nuclear', 'schiff', 'moments', 's', 'the', 'results', 'are', 'd229pa', '95', '1017', 'se', 'fm', 'e', 'cm', '11', '1020', 'eta', 'e', 'cm', 'd225ac', '86', '1017', 'se', 'fm', 'e', 'cm', '08', '1021', 'eta', 'e', 'cm', 'edm', 'of', '229', 'pa', 'is', '3', '104', 'times', 'larger', 'than', '199hg', 'edm', 'and', '40', 'times', 'larger', 'than', '225ra', 'edm', 'possible', 'use', 'of', 'actinides', 'in', 'solid', 'state', 'experiments', 'is', 'also', 'discussed', 'the', 'tpodd', 'spinaxis', 'interaction', 'in', 'rao', 'molecule', 'is', '500', 'times', 'larger', 'than', 'in', 'tlf']] | [-0.12045949174919063, 0.2846781252741089, 0.13636181894689797, 0.08292490462125797, 0.08014595160881678, -0.07753025740643757, 0.054967968387063595, 0.3554087663276328, -0.10314428022959166, -0.349222425562847, -0.043768170171986434, -0.3826056286175218, 0.10427011110716396, 0.19520750971407527, 0.09108489964597134, -0.05655381731792457, -0.03644872773438692, 0.031064485013484956, -0.11481504384492938, -0.20014034744559062, 0.08360287426039577, 0.09864341203744213, 0.22277049536092414, 0.13385778755570452, -0.00200980082154274, -0.031090324987114098, 0.05926924250606033, -0.09152431780110216, -0.1331436570688513, 0.13025452035168808, 0.20871273783462432, 0.05860961006385171, 0.10405755324496163, -0.43555485946643685, -0.02024036298195521, 0.11855452849736645, 0.06273422865455763, 0.006774687946825806, 0.04584011878937923, -0.30702424796505107, 0.11244917548934205, -0.267267654184252, -0.10590676513707473, -0.029521558909457072, 0.20248590314553844, -0.001480800432101306, -0.32095666271116996, 0.12427102193048793, 0.03252890743056519, 0.1323774513685041, -0.08185822579802739, -0.3676895857892103, 0.06289123598900107, -0.11520232403029998, 0.03950757222612285, 0.20628440665960726, 0.26443721694975264, -0.015368388563446286, -0.08820199302345928, 0.416464906765355, -0.11218278914570369, -0.05463816579431295, 0.09668345253707634, -0.27887753505363233, -0.07905205624281532, 0.2370049959152109, 0.1365419356048935, 0.12441171610520946, -0.11536494623352256, 0.1209077108431504, 0.02954422032796881, 0.23030251836559426, 0.1568107560923737, -0.005793639898507131, 0.1764502658094797, 0.1355333329165458, 0.0634652497790133, -0.03639384887905584, -0.20699632050366037, 0.010955866234144195, -0.2230184704479244, -0.0952087733687626, -0.15275168257455032, 0.20518350419588388, -0.1413655684093505, 0.07886371492511696, 0.25887238504365084, 0.11382455349796348, 0.17258687977575593, -0.09386385725811124, 0.22897877257006863, 0.07103633822666275, 0.03718731681454099, 0.018999377715711793, 0.35053444935215844, 0.22175230392410109, 0.05742389840694765, -0.1942998624432625, 0.016562937686426773, 0.013338604559087091] |
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