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709.2135 | Coupling Superconducting Qubits via a Cavity Bus | Superconducting circuits are promising candidates for constructing quantum
bits (qubits) in a quantum computer; single-qubit operations are now routine,
and several examples of two qubit interactions and gates having been
demonstrated. These experiments show that two nearby qubits can be readily
coupled with local interactions. Performing gates between an arbitrary pair of
distant qubits is highly desirable for any quantum computer architecture, but
has not yet been demonstrated. An efficient way to achieve this goal is to
couple the qubits to a quantum bus, which distributes quantum information among
the qubits. Here we show the implementation of such a quantum bus, using
microwave photons confined in a transmission line cavity, to couple two
superconducting qubits on opposite sides of a chip. The interaction is mediated
by the exchange of virtual rather than real photons, avoiding cavity induced
loss. Using fast control of the qubits to switch the coupling effectively on
and off, we demonstrate coherent transfer of quantum states between the qubits.
The cavity is also used to perform multiplexed control and measurement of the
qubit states. This approach can be expanded to more than two qubits, and is an
attractive architecture for quantum information processing on a chip.
| cond-mat.mes-hall cond-mat.supr-con quant-ph | superconducting circuits are promising candidates for constructing quantum bits qubits in a quantum computer singlequbit operations are now routine and several examples of two qubit interactions and gates having been demonstrated these experiments show that two nearby qubits can be readily coupled with local interactions performing gates between an arbitrary pair of distant qubits is highly desirable for any quantum computer architecture but has not yet been demonstrated an efficient way to achieve this goal is to couple the qubits to a quantum bus which distributes quantum information among the qubits here we show the implementation of such a quantum bus using microwave photons confined in a transmission line cavity to couple two superconducting qubits on opposite sides of a chip the interaction is mediated by the exchange of virtual rather than real photons avoiding cavity induced loss using fast control of the qubits to switch the coupling effectively on and off we demonstrate coherent transfer of quantum states between the qubits the cavity is also used to perform multiplexed control and measurement of the qubit states this approach can be expanded to more than two qubits and is an attractive architecture for quantum information processing on a chip | [['superconducting', 'circuits', 'are', 'promising', 'candidates', 'for', 'constructing', 'quantum', 'bits', 'qubits', 'in', 'a', 'quantum', 'computer', 'singlequbit', 'operations', 'are', 'now', 'routine', 'and', 'several', 'examples', 'of', 'two', 'qubit', 'interactions', 'and', 'gates', 'having', 'been', 'demonstrated', 'these', 'experiments', 'show', 'that', 'two', 'nearby', 'qubits', 'can', 'be', 'readily', 'coupled', 'with', 'local', 'interactions', 'performing', 'gates', 'between', 'an', 'arbitrary', 'pair', 'of', 'distant', 'qubits', 'is', 'highly', 'desirable', 'for', 'any', 'quantum', 'computer', 'architecture', 'but', 'has', 'not', 'yet', 'been', 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709.2136 | The Geometric Phase and Gravitational Precession of D-Branes | We study Berry's phase in the D0-D4-brane system. When a D0-brane moves in
the background of D4-branes, the first excited states undergo a holonomy
described by a non-Abelian Berry connection. At weak coupling this is an SU(2)
connection over R^5, known as the Yang monopole. At strong coupling, the
holonomy is recast as the classical gravitational precession of a spinning
particle. The Berry connection is the spin connection of the near-horizon limit
of the D4-branes, which is a continuous deformation of the Yang and anti-Yang
monopole.
| hep-th | we study berrys phase in the d0d4brane system when a d0brane moves in the background of d4branes the first excited states undergo a holonomy described by a nonabelian berry connection at weak coupling this is an su2 connection over r5 known as the yang monopole at strong coupling the holonomy is recast as the classical gravitational precession of a spinning particle the berry connection is the spin connection of the nearhorizon limit of the d4branes which is a continuous deformation of the yang and antiyang monopole | [['we', 'study', 'berrys', 'phase', 'in', 'the', 'd0d4brane', 'system', 'when', 'a', 'd0brane', 'moves', 'in', 'the', 'background', 'of', 'd4branes', 'the', 'first', 'excited', 'states', 'undergo', 'a', 'holonomy', 'described', 'by', 'a', 'nonabelian', 'berry', 'connection', 'at', 'weak', 'coupling', 'this', 'is', 'an', 'su2', 'connection', 'over', 'r5', 'known', 'as', 'the', 'yang', 'monopole', 'at', 'strong', 'coupling', 'the', 'holonomy', 'is', 'recast', 'as', 'the', 'classical', 'gravitational', 'precession', 'of', 'a', 'spinning', 'particle', 'the', 'berry', 'connection', 'is', 'the', 'spin', 'connection', 'of', 'the', 'nearhorizon', 'limit', 'of', 'the', 'd4branes', 'which', 'is', 'a', 'continuous', 'deformation', 'of', 'the', 'yang', 'and', 'antiyang', 'monopole']] | [-0.24929833807708585, 0.21124295706960017, -0.07630939762491513, 0.08083719439010191, -0.07574633468380745, -0.09669277342036367, 0.0038275245248394854, 0.25946765055551246, -0.18962444554576102, -0.2545240340096986, 0.04753190753296675, -0.2802550995393711, -0.1923205623512759, 0.08043112205478417, -0.041820598147152103, -0.026996312306865174, -0.02789318507865948, 0.08233595559209148, -0.13251058346427538, -0.17947485573754152, 0.31705895587801936, 0.022860662770621917, 0.25081776209613854, 0.046186699711132165, 0.12446020634516197, 0.0066340162555741915, 0.04434849072028609, 0.011889076101429322, -0.10131794537472374, 0.019381848039954682, 0.1797576907364761, -0.006955015620983699, 0.10808421097257558, -0.3952376083416097, -0.2017682892818223, 0.06969231593778685, 0.1526554772082497, 0.1780224710743984, -0.0178631839397199, -0.3680384536876398, -0.010235015248112819, -0.1892880734987557, -0.17935983665177926, -0.052015708942952404, 0.07391643993666067, -0.06017918061081539, -0.19355603859705084, 0.0753544165259775, 0.09036013036966324, 0.024917567762381892, -0.02920961954685695, -0.0050097611609517655, -0.10595754456213292, 0.10270044441944372, 0.11085313080488156, 0.1388575567781706, 0.1269813076209496, -0.15376419167253463, -0.1564777466961566, 0.3513588770128348, -0.10758596109500264, -0.20515393135959611, 0.1143954645458828, -0.1363978140768321, -0.13856838586575845, 0.15448773606296848, 0.08688262083622462, 0.15077853494816842, -0.08602311310772646, 0.19581736069770106, -0.052562590984298906, 0.09120949931881007, 0.09244928393951234, 0.016504479988532907, 0.3133449776098132, 0.13302990323863922, 0.08589738877490163, 0.16206812782980062, -0.09495141773539431, -0.1406210114412448, -0.3859801232814789, -0.17841182071441675, -0.21009377416442424, 0.15257661219905405, -0.10705142496410511, -0.17867151521255864, 0.3748118333682856, 0.026591248113853747, 0.17997318405164953, -0.004922312233761391, 0.2351975870263927, 0.10800070385585595, 0.010316139711614917, 0.046408309962819604, 0.3278514379525886, 0.2697733056211077, 0.09837222654125927, -0.2931179681025884, -0.12994412932654514, 0.1521995606558288] |
709.2137 | The influence of pairing on the nuclear matrix elements of the
neutrinoless double beta decays | We study in this letter the behavior of the neutrinoless double beta decay
nuclear matrix elements (NME's) in the framework of the Interacting Shell
Model. We analize them in terms of the total angular momentum of the decaying
neutron pair and as a function of the seniority truncations in the nuclear wave
functions. This point of view turns out to be very adequate to gauge the
accuracy of the NME's predicted by different nuclear structure models. In
addition, it gives back the due protagonism in this process to the pairing
interaction, the interaction which is responsible for the very existence of
double beta decay emitters. We show that low seniority approximations,
comparable to those implicit in the quasiparticle RPA in an spherical basis,
tend to overestimate the values of the NME's in several decays.
| nucl-th hep-ph | we study in this letter the behavior of the neutrinoless double beta decay nuclear matrix elements nmes in the framework of the interacting shell model we analize them in terms of the total angular momentum of the decaying neutron pair and as a function of the seniority truncations in the nuclear wave functions this point of view turns out to be very adequate to gauge the accuracy of the nmes predicted by different nuclear structure models in addition it gives back the due protagonism in this process to the pairing interaction the interaction which is responsible for the very existence of double beta decay emitters we show that low seniority approximations comparable to those implicit in the quasiparticle rpa in an spherical basis tend to overestimate the values of the nmes in several decays | [['we', 'study', 'in', 'this', 'letter', 'the', 'behavior', 'of', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'nuclear', 'matrix', 'elements', 'nmes', 'in', 'the', 'framework', 'of', 'the', 'interacting', 'shell', 'model', 'we', 'analize', 'them', 'in', 'terms', 'of', 'the', 'total', 'angular', 'momentum', 'of', 'the', 'decaying', 'neutron', 'pair', 'and', 'as', 'a', 'function', 'of', 'the', 'seniority', 'truncations', 'in', 'the', 'nuclear', 'wave', 'functions', 'this', 'point', 'of', 'view', 'turns', 'out', 'to', 'be', 'very', 'adequate', 'to', 'gauge', 'the', 'accuracy', 'of', 'the', 'nmes', 'predicted', 'by', 'different', 'nuclear', 'structure', 'models', 'in', 'addition', 'it', 'gives', 'back', 'the', 'due', 'protagonism', 'in', 'this', 'process', 'to', 'the', 'pairing', 'interaction', 'the', 'interaction', 'which', 'is', 'responsible', 'for', 'the', 'very', 'existence', 'of', 'double', 'beta', 'decay', 'emitters', 'we', 'show', 'that', 'low', 'seniority', 'approximations', 'comparable', 'to', 'those', 'implicit', 'in', 'the', 'quasiparticle', 'rpa', 'in', 'an', 'spherical', 'basis', 'tend', 'to', 'overestimate', 'the', 'values', 'of', 'the', 'nmes', 'in', 'several', 'decays']] | [-0.07962384932723485, 0.15660473772710193, -0.09822865800329841, 0.14461714732406244, 0.011707493135551536, -0.07083130366329972, 0.056956460689810716, 0.3394344602326365, -0.23985241653215617, -0.27004820911942007, -0.013337958195330785, -0.2740663614341135, -0.0952055363887851, 0.1307331439461279, 0.05385264605450045, 0.02252925778627553, 0.03056481391317526, 0.03591768317715846, -0.1437734632378206, -0.20776420222031639, 0.32311679002009613, 0.09932458488606757, 0.23774542657770498, 0.04863135894074252, -0.0008925546023686577, -0.0009603410455069147, -0.010764834604093007, -0.046915675884574876, -0.10193775898342142, 0.09428310812857087, 0.23702228623407887, 0.051097124594410785, 0.23408125850890196, -0.4213029762828036, -0.1286459761440642, 0.1192491506965992, 0.17602704996173096, 0.11129015405518808, -0.04609608836121913, -0.26207362787265864, 0.04380970682486668, -0.2487317706612324, -0.17142067599737024, -0.07553827593320127, 0.028748789182478997, 0.05784313344655741, -0.2752148256364937, 0.08490692266557169, 0.028268387877291308, -0.03591155361986362, -0.07252380004173663, -0.17036255977739742, 0.02719945285147182, 0.08734611757589798, 0.132084074773943, 0.02376335897987106, 0.1221206049833979, -0.1676785182277847, -0.056969286397771726, 0.3934417084258582, -0.06158173944156869, -0.19247081504672542, 0.14545958429133812, -0.20664480050913708, -0.10989176048730899, 0.16178337997175696, 0.14656486203438862, 0.10287621712200064, -0.14278749363974816, 0.10569165856555574, -0.02493926000077176, 0.14771802749426133, 0.03476911291648123, 0.057608966397023516, 0.18813385403736083, 0.16704488720629307, 0.0013628317484338033, 0.08900825486647987, -0.11747989978810205, -0.12508730545527952, -0.3333888366587348, -0.13860283353667063, -0.1426960916426453, 0.057507000872633364, -0.06764254357332725, -0.17189696366737658, 0.41356170944225296, 0.09555921864982947, 0.1996085238818051, 0.0004168229336899362, 0.23746894980969846, 0.12788203429987416, 0.09823612350606381, 0.005281321459302777, 0.3066960024591395, 0.19441216298610084, 0.05309541210098038, -0.3025294609430869, 0.04694751413062887, 0.05820617947335306] |
709.2138 | Dynamical Emergence of Complex Structures in Field Theories | Nonlinear field theories can be used to study both standard physics
questions, or to study questions such as the emergence of order and complexity.
These theories are generally derived from the symmetries of a given problem and
the interactions that respect those symmetries. Formally one can then quantize
the system to find the masses of the fundamental excitations, but this
procedure generally destroys much information about solutions of the field
equations with large non-perturbative amplitudes. To get information about the
properties of the solutions to these field theories without perturbative
approximations we use real time lattice simulations where complex
spatiotemporal structures emerge dynamically from excess free energy and a
thermal background. We present results in 2 and 3 dimensions of new interacting
quasi-particle formations from a quench. These objects show an emergent level
of complexity which we attempt to categorize and define in a manner that should
be useful to many different applications.
| nlin.AO nlin.PS | nonlinear field theories can be used to study both standard physics questions or to study questions such as the emergence of order and complexity these theories are generally derived from the symmetries of a given problem and the interactions that respect those symmetries formally one can then quantize the system to find the masses of the fundamental excitations but this procedure generally destroys much information about solutions of the field equations with large nonperturbative amplitudes to get information about the properties of the solutions to these field theories without perturbative approximations we use real time lattice simulations where complex spatiotemporal structures emerge dynamically from excess free energy and a thermal background we present results in 2 and 3 dimensions of new interacting quasiparticle formations from a quench these objects show an emergent level of complexity which we attempt to categorize and define in a manner that should be useful to many different applications | [['nonlinear', 'field', 'theories', 'can', 'be', 'used', 'to', 'study', 'both', 'standard', 'physics', 'questions', 'or', 'to', 'study', 'questions', 'such', 'as', 'the', 'emergence', 'of', 'order', 'and', 'complexity', 'these', 'theories', 'are', 'generally', 'derived', 'from', 'the', 'symmetries', 'of', 'a', 'given', 'problem', 'and', 'the', 'interactions', 'that', 'respect', 'those', 'symmetries', 'formally', 'one', 'can', 'then', 'quantize', 'the', 'system', 'to', 'find', 'the', 'masses', 'of', 'the', 'fundamental', 'excitations', 'but', 'this', 'procedure', 'generally', 'destroys', 'much', 'information', 'about', 'solutions', 'of', 'the', 'field', 'equations', 'with', 'large', 'nonperturbative', 'amplitudes', 'to', 'get', 'information', 'about', 'the', 'properties', 'of', 'the', 'solutions', 'to', 'these', 'field', 'theories', 'without', 'perturbative', 'approximations', 'we', 'use', 'real', 'time', 'lattice', 'simulations', 'where', 'complex', 'spatiotemporal', 'structures', 'emerge', 'dynamically', 'from', 'excess', 'free', 'energy', 'and', 'a', 'thermal', 'background', 'we', 'present', 'results', 'in', '2', 'and', '3', 'dimensions', 'of', 'new', 'interacting', 'quasiparticle', 'formations', 'from', 'a', 'quench', 'these', 'objects', 'show', 'an', 'emergent', 'level', 'of', 'complexity', 'which', 'we', 'attempt', 'to', 'categorize', 'and', 'define', 'in', 'a', 'manner', 'that', 'should', 'be', 'useful', 'to', 'many', 'different', 'applications']] | [-0.10408723936416209, 0.1555545484911372, -0.103322291101886, 0.11731312681808216, -0.07953412906005004, -0.11240318381635386, 0.0134184987396854, 0.337662283830296, -0.29739651432126957, -0.3377836582732533, 0.0977914929861702, -0.2721955190577051, -0.16363419685208427, 0.1534662998534033, -0.029810726627390954, 0.023242302570686817, 0.01140383612349313, 0.05413857128416352, -0.07524737412584763, -0.2438972054515034, 0.34013486968876877, 0.016993468046017916, 0.24974622575602695, 0.03132565022793179, 0.06239974186786152, -0.02792747964050767, 0.010214978271107695, 0.0651866050857101, -0.13853105111856065, 0.1257611273299428, 0.2561932933772458, 0.10470339634571395, 0.21864471457338605, -0.4601848313365789, -0.2382944941724608, 0.08533278347816306, 0.16272094546592022, 0.176779315894427, -0.02447646968614529, -0.2905650896391545, 0.08172603202922867, -0.13764610335084737, -0.1513389409611038, -0.12687001123665254, -0.02671093279206699, -0.0057708295610021144, -0.24298384178770718, 0.04708748372131654, 0.02806219054055796, 0.040117575455262185, -0.0754241049548404, -0.06014808677243422, -0.01213271044091218, 0.15311148966239535, 0.08132831909803345, 0.014940889827105112, 0.10731805454988301, -0.19003727148420915, -0.15202856346587437, 0.4192926923126542, -0.027083838263791345, -0.20177879425076148, 0.24592340730124584, -0.142531678882531, -0.13536899523456503, 0.12112349635477063, 0.18724558689651305, 0.11622086266554843, -0.1508073047826103, 0.07034352581356074, -0.0047363646395407084, 0.1859186970951413, 0.03265746457964864, 0.08726658017125005, 0.232924067652693, 0.10157018439734683, 0.02546329246917618, 0.10126649185686427, -0.019429948809404487, -0.11682841140667305, -0.3015884595399637, -0.13316887289626536, -0.1063114550098582, 0.09099007010143371, -0.0749534896898861, -0.1491584192864061, 0.38971458564153294, 0.20757171816612577, 0.19437539141098467, 0.041966590619957216, 0.25472321247627194, 0.1298084566696833, 0.0719397303608727, 0.06496050523737068, 0.20348958949272344, 0.12172916293253794, 0.06734992329067752, -0.18257104970204333, -0.036200908526855834, 0.047138456227805686] |
709.2139 | Spectral functions for medium-sized nuclei | The spectral functions for calcium and argon are constructed. It is verified
that their predictions for the quasielastic electron-nucleus cross sections in
the energy range ~1 GeV agree with the data. The argon spectral function is
then used to obtain the quasielastic neutrino-nucleus cross section.
| nucl-th | the spectral functions for calcium and argon are constructed it is verified that their predictions for the quasielastic electronnucleus cross sections in the energy range 1 gev agree with the data the argon spectral function is then used to obtain the quasielastic neutrinonucleus cross section | [['the', 'spectral', 'functions', 'for', 'calcium', 'and', 'argon', 'are', 'constructed', 'it', 'is', 'verified', 'that', 'their', 'predictions', 'for', 'the', 'quasielastic', 'electronnucleus', 'cross', 'sections', 'in', 'the', 'energy', 'range', '1', 'gev', 'agree', 'with', 'the', 'data', 'the', 'argon', 'spectral', 'function', 'is', 'then', 'used', 'to', 'obtain', 'the', 'quasielastic', 'neutrinonucleus', 'cross', 'section']] | [0.057442226090158026, 0.1320956437745028, -0.04457563599571586, 0.19932217499137753, 0.046349321016007, -0.07319651316437456, -0.048803472684489355, 0.4329472656051318, -0.19286870426601835, -0.2518929890667399, -0.04381002591560698, -0.3854189013234443, 0.0377160447028776, 0.23171049501332971, 0.11464636644555462, 0.11477022768101758, 0.09212848761429389, 0.02094281359265248, -0.05981369334686962, -0.20469149289031824, 0.29962252750992774, 0.10836625355813238, 0.27833989353643523, 0.20302378912973734, 0.08748197063234531, 0.07007261389969952, -0.03814418614945478, -0.0941426674111022, -0.18094669489995188, 0.08459543263953594, 0.38537943147950704, 0.08902335854040253, 0.052508700142304104, -0.3912795273794068, -0.15547261846562227, 0.13042995801402463, 0.09784150648241242, 0.06099856897360749, -0.02787783628122674, -0.2852947152012752, 0.10744401385179825, -0.2244384206003613, -0.1035345618509584, -0.06447549683766232, -0.0017616655884517564, 0.09461603636542956, -0.29043191538916696, 0.06210822550993827, -0.0698169996134109, 0.010300767416548397, -0.11661385447821683, -0.21111019781480234, -0.027405307121160957, 0.0647971869342857, 0.057862647239946656, 0.017007244357632265, 0.22815837307522693, -0.10948327349291907, -0.05272995329772433, 0.33466293155733084, -0.07614828466127316, -0.1633406710293558, 0.09478764717156689, -0.18009104327195222, -0.04024929054495361, 0.23910862447486983, 0.13709548293716378, 0.09931197544663317, -0.19669372162057294, 0.10035547664673584, -0.027486971103482777, 0.19103405674298604, 0.08224893726615443, -0.010264846092710892, 0.0852684116611878, 0.21689974835349454, -0.003924345307879978, -0.036566288934813604, -0.2133723790757358, -0.027598700092898474, -0.3898996780704086, -0.10278093970070283, -0.08659049914115005, 0.03001557704475191, -0.0073890185497778775, -0.1195869518443942, 0.34163141685227555, 0.06540556927728984, 0.2866915898811486, 0.049572048419051704, 0.341100418402089, 0.17269787858757707, 0.0509846453813629, -0.010139849181804392, 0.3332494594984584, 0.2259585957818975, 0.16550589116911094, -0.19621864479785373, 0.059842784619993636, 0.03286299546145731] |
709.214 | Entanglement as a Probe of Confinement | We investigate the entanglement entropy in gravity duals of confining large
$N_c$ gauge theories using the proposal of arXiv:hep-th/0603001,
arXiv:hep-th/0605073. Dividing one of the directions of space into a line
segment of length $l$ and its complement, the entanglement entropy between the
two subspaces is given by the classical action of the minimal bulk hypersurface
which approaches the endpoints of the line segment at the boundary. We find
that in confining backgrounds there are generally two such surfaces. One
consists of two disconnected components localized at the endpoints of the line
segment. The other contains a tube connecting the two components. The
disconnected surface dominates the entropy for $l$ above a certain critical
value $l_{\rm crit}$ while the connected one dominates below that value. The
change of behavior at $l=l_{\rm crit}$ is reminiscent of the finite temperature
deconfinement transition: for $l < l_{\rm crit}$ the entropy scales as $N_c^2$,
while for $l > l_{\rm crit}$ as $N_c^0$. We argue that a similar transition
should occur in any field theory with a Hagedorn spectrum of non-interacting
bound states. The requirement that the entanglement entropy has a phase
transition may be useful in constraining gravity duals of confining theories.
| hep-th | we investigate the entanglement entropy in gravity duals of confining large n_c gauge theories using the proposal of arxivhepth0603001 arxivhepth0605073 dividing one of the directions of space into a line segment of length l and its complement the entanglement entropy between the two subspaces is given by the classical action of the minimal bulk hypersurface which approaches the endpoints of the line segment at the boundary we find that in confining backgrounds there are generally two such surfaces one consists of two disconnected components localized at the endpoints of the line segment the other contains a tube connecting the two components the disconnected surface dominates the entropy for l above a certain critical value l_rm crit while the connected one dominates below that value the change of behavior at ll_rm crit is reminiscent of the finite temperature deconfinement transition for l l_rm crit the entropy scales as n_c2 while for l l_rm crit as n_c0 we argue that a similar transition should occur in any field theory with a hagedorn spectrum of noninteracting bound states the requirement that the entanglement entropy has a phase transition may be useful in constraining gravity duals of confining theories | [['we', 'investigate', 'the', 'entanglement', 'entropy', 'in', 'gravity', 'duals', 'of', 'confining', 'large', 'n_c', 'gauge', 'theories', 'using', 'the', 'proposal', 'of', 'arxivhepth0603001', 'arxivhepth0605073', 'dividing', 'one', 'of', 'the', 'directions', 'of', 'space', 'into', 'a', 'line', 'segment', 'of', 'length', 'l', 'and', 'its', 'complement', 'the', 'entanglement', 'entropy', 'between', 'the', 'two', 'subspaces', 'is', 'given', 'by', 'the', 'classical', 'action', 'of', 'the', 'minimal', 'bulk', 'hypersurface', 'which', 'approaches', 'the', 'endpoints', 'of', 'the', 'line', 'segment', 'at', 'the', 'boundary', 'we', 'find', 'that', 'in', 'confining', 'backgrounds', 'there', 'are', 'generally', 'two', 'such', 'surfaces', 'one', 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'in', 'constraining', 'gravity', 'duals', 'of', 'confining', 'theories']] | [-0.19196359601856205, 0.2330944018322043, -0.06021688322637983, 0.07397146552555031, -0.010776646584851446, -0.1773789072303111, 0.03457704935538935, 0.31551661241288087, -0.18607660441374685, -0.21970028006061526, 0.06336530799907511, -0.33428669453796406, -0.052797319991224556, 0.15076786175929974, -0.003442753856721783, 0.019287251949085916, -0.029998521984028848, 0.08543527126794806, -0.10619015264001536, -0.1889677887059835, 0.3658503312159117, -0.017862083802935837, 0.27873863478268407, 0.1023649061195205, 0.054238975793605794, -0.0443632862810528, 0.04769661220893206, 0.059259828237829965, -0.1654423677727129, 0.048527349847902114, 0.2406168101449531, 0.09390429947814793, 0.20158866152059954, -0.3756196340787287, -0.23735311928499547, 0.12974863917171145, 0.14845888849608407, 0.056184269492080136, 0.04450953232095495, -0.21121233839474116, 0.041920501251410634, -0.13030999789854097, 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709.2141 | A skein approach to Bennequin type inequalities | We give a simple unified proof for several disparate bounds on
Thurston-Bennequin number for Legendrian knots and self-linking number for
transverse knots in R^3, and provide a template for possible future bounds. As
an application, we give sufficient conditions for some of these bounds to be
sharp.
| math.GT math.SG | we give a simple unified proof for several disparate bounds on thurstonbennequin number for legendrian knots and selflinking number for transverse knots in r3 and provide a template for possible future bounds as an application we give sufficient conditions for some of these bounds to be sharp | [['we', 'give', 'a', 'simple', 'unified', 'proof', 'for', 'several', 'disparate', 'bounds', 'on', 'thurstonbennequin', 'number', 'for', 'legendrian', 'knots', 'and', 'selflinking', 'number', 'for', 'transverse', 'knots', 'in', 'r3', 'and', 'provide', 'a', 'template', 'for', 'possible', 'future', 'bounds', 'as', 'an', 'application', 'we', 'give', 'sufficient', 'conditions', 'for', 'some', 'of', 'these', 'bounds', 'to', 'be', 'sharp']] | [-0.21510921001057834, 0.0752760167459665, -0.08731773858295476, 0.16116643697023392, -0.1331848912684128, -0.19034567645731124, 0.05068294366108293, 0.3614531076572677, -0.19279336073297135, -0.3559286250296901, 0.11773457250092179, -0.18500157548709117, -0.10287787153960225, 0.35300154678840584, -0.11983728383053491, 0.06354890383304433, 0.051772380564758115, 0.03956297286253601, -0.0342066026840141, -0.2593314893781505, 0.270578838488523, -0.03642801282570717, 0.15477511619633816, 0.21176512852469656, 0.04654847739383261, -0.03728315909888516, 0.018066283835573717, 0.011230609914723863, -0.32411734712188767, 0.11132375899940095, 0.24502502245075525, 0.12461684702677613, 0.1240609138609564, -0.4791370187985136, -0.1258819060637913, 0.16074698573186438, 0.17575964109694703, 0.09518690196242421, -0.11481654623454, -0.2316386803632919, 0.08259764432961597, -0.14563540389087606, -0.17935634590685368, -0.15061063773216718, 0.04521513896736693, 0.06208315741350042, -0.27980181396483106, 0.029495870635071968, 0.09799783861145694, 0.11978934060266995, -0.002946431015400176, -0.1418866761018859, 0.06117278261189448, 0.12900761036360833, 0.04547421150702111, 0.005336161764794367, 0.01482506613544327, -0.1279935855814751, -0.14382939781755844, 0.30895326667009515, -0.05655462445413813, -0.2679977640905913, 0.1765763910209879, -0.05296103851473395, -0.2372743806781921, 0.1360384608678361, 0.17744033756923486, 0.12503246206076854, -0.09866819524533174, 0.03052070308625302, -0.14087094263510502, 0.03322876347823346, 0.09933129315601384, 0.10933953495894341, 0.16580729393110155, 0.08188903938107034, 0.19492978864210717, 0.2118336714858665, -0.0678155476058972, 0.00865867783369972, -0.4376861399158518, -0.2524203820590009, -0.1279940690567836, 0.07299760689443731, -0.1731953393126729, -0.1754706793568751, 0.39939368944218817, 0.07816728430384016, 0.26952251371868113, 0.23503625509824524, 0.28036443144083023, 0.03376293666982785, 0.028494045405866617, 0.09635636888127377, 0.17452424050598564, 0.15721102990210056, -0.005312321222129654, -0.023370947213249005, 0.01872646865098083, 0.17261544160267456] |
709.2142 | The Rotation Period of the Planet-Hosting Star HD 189733 | We present synoptic optical photometry of HD 189733, the chromospherically
active parent star of one of the most intensively studied exoplanets. We have
significantly extended the timespan of our previously reported observations and
refined the estimate of the stellar rotation period by more than an order of
magnitude: $P = 11.953\pm 0.009$ days. We derive a lower limit on the
inclination of the stellar rotation axis of $56\arcdeg$ (with 95% confidence),
corroborating earlier evidence that the stellar spin axis and planetary orbital
axis are well aligned.
| astro-ph | we present synoptic optical photometry of hd 189733 the chromospherically active parent star of one of the most intensively studied exoplanets we have significantly extended the timespan of our previously reported observations and refined the estimate of the stellar rotation period by more than an order of magnitude p 11953pm 0009 days we derive a lower limit on the inclination of the stellar rotation axis of 56arcdeg with 95 confidence corroborating earlier evidence that the stellar spin axis and planetary orbital axis are well aligned | [['we', 'present', 'synoptic', 'optical', 'photometry', 'of', 'hd', '189733', 'the', 'chromospherically', 'active', 'parent', 'star', 'of', 'one', 'of', 'the', 'most', 'intensively', 'studied', 'exoplanets', 'we', 'have', 'significantly', 'extended', 'the', 'timespan', 'of', 'our', 'previously', 'reported', 'observations', 'and', 'refined', 'the', 'estimate', 'of', 'the', 'stellar', 'rotation', 'period', 'by', 'more', 'than', 'an', 'order', 'of', 'magnitude', 'p', '11953pm', '0009', 'days', 'we', 'derive', 'a', 'lower', 'limit', 'on', 'the', 'inclination', 'of', 'the', 'stellar', 'rotation', 'axis', 'of', '56arcdeg', 'with', '95', 'confidence', 'corroborating', 'earlier', 'evidence', 'that', 'the', 'stellar', 'spin', 'axis', 'and', 'planetary', 'orbital', 'axis', 'are', 'well', 'aligned']] | [-0.14672971339980476, 0.1503194668682654, -0.05079214522300894, 0.052156002228484905, -0.1272693934839174, -0.047796870663156174, 0.0703426685313279, 0.3929945240133857, -0.10743592721438147, -0.3772018497742443, 0.11669840692564935, -0.2548661701470973, -0.04906796449472769, 0.24420665573968317, -0.045066845249833475, 0.023565087843327278, 0.10146506893706608, -0.02069701916392309, -0.06414160896822002, -0.29094923852034005, 0.21960616477551947, 0.0450534137324935, 0.08472040757895952, -0.08741571333438876, 0.014513271120208573, -0.018695220575634254, -0.06327296765023248, -0.08690179000238338, -0.22864051059167903, 0.08148446165204766, 0.1811785506735365, 0.0867653283380331, 0.15600879498230047, -0.33661760605804353, -0.1779803724802402, 0.012035956617489636, 0.19576596932665233, 0.04493313328522897, -0.031867052447534704, -0.264736785542175, 0.055618310268654166, -0.21208097637597337, -0.21158018587605962, 0.042861389226268934, 0.1204682881102325, -0.0072372890560023755, -0.22975907436605678, 0.12184390084571149, 0.0719365827326876, 0.22751344011041774, -0.1857420232663133, -0.1922386257112565, -0.13745329835373593, 0.06283914222640086, 0.07414650673282344, 0.11290340504822242, 0.11690876826486853, -0.03804145524480257, -0.07921593149293618, 0.3869079492133425, -0.09507172548507357, -0.03139545265809599, 0.19305581521489715, -0.25887213335218223, -0.14674492847421264, 0.15198015786303454, 0.17110536238515234, 0.1782575107280569, -0.12243797052939176, -0.03306636850052255, -0.050799758409161164, 0.22306092960917087, 0.0654730762197939, 0.05752064962590854, 0.3453230014497257, 0.11195755647270973, 0.061143136925501634, 0.05990183237850307, -0.3108208026058119, -0.07397196173151753, -0.14431311828098317, -0.07931135856148125, -0.11815254984378636, 0.06061423782831484, -0.1445245754463929, -0.07652499363477151, 0.39187406708138534, 0.1567094632556258, 0.20519000548499086, 0.05556004728942392, 0.3167605367489159, 0.09512941774502622, 0.0944587936709391, 0.10949250848694558, 0.3839258837502405, 0.20816108685671295, 0.06315441928377533, -0.2542335375335561, 0.13047311862324734, 0.0008042159838130675] |
709.2143 | Optimized Double-well quantum interferometry with Gaussian
squeezed-states | A Mach-Zender interferometer with a gaussian number-difference squeezed input
state can exhibit sub-shot-noise phase resolution over a large phase-interval.
We obtain the optimal level of squeezing for a given phase-interval
$\Delta\theta_0$ and particle number $N$, with the resulting phase-estimation
uncertainty smoothly approaching $3.5/N$ as $\Delta\theta_0$ approaches 10/N,
achieved with highly squeezed states near the Fock regime. We then analyze an
adaptive measurement scheme which allows any phase on $(-\pi/2,\pi/2)$ to be
measured with a precision of $3.5/N$ requiring only a few measurements, even
for very large $N$. We obtain an asymptotic scaling law of $\Delta\theta\approx
(2.1+3.2\ln(\ln(N_{tot}\tan\Delta\theta_0)))/N_{tot}$, resulting in a final
precision of $\approx 10/N_{tot}$. This scheme can be readily implemented in a
double-well Bose-Einstein condensate system, as the optimal input states can be
obtained by adiabatic manipulation of the double-well ground state.
| quant-ph | a machzender interferometer with a gaussian numberdifference squeezed input state can exhibit subshotnoise phase resolution over a large phaseinterval we obtain the optimal level of squeezing for a given phaseinterval deltatheta_0 and particle number n with the resulting phaseestimation uncertainty smoothly approaching 35n as deltatheta_0 approaches 10n achieved with highly squeezed states near the fock regime we then analyze an adaptive measurement scheme which allows any phase on pi2pi2 to be measured with a precision of 35n requiring only a few measurements even for very large n we obtain an asymptotic scaling law of deltathetaapprox 2132lnlnn_tottandeltatheta_0n_tot resulting in a final precision of approx 10n_tot this scheme can be readily implemented in a doublewell boseeinstein condensate system as the optimal input states can be obtained by adiabatic manipulation of the doublewell ground state | [['a', 'machzender', 'interferometer', 'with', 'a', 'gaussian', 'numberdifference', 'squeezed', 'input', 'state', 'can', 'exhibit', 'subshotnoise', 'phase', 'resolution', 'over', 'a', 'large', 'phaseinterval', 'we', 'obtain', 'the', 'optimal', 'level', 'of', 'squeezing', 'for', 'a', 'given', 'phaseinterval', 'deltatheta_0', 'and', 'particle', 'number', 'n', 'with', 'the', 'resulting', 'phaseestimation', 'uncertainty', 'smoothly', 'approaching', '35n', 'as', 'deltatheta_0', 'approaches', '10n', 'achieved', 'with', 'highly', 'squeezed', 'states', 'near', 'the', 'fock', 'regime', 'we', 'then', 'analyze', 'an', 'adaptive', 'measurement', 'scheme', 'which', 'allows', 'any', 'phase', 'on', 'pi2pi2', 'to', 'be', 'measured', 'with', 'a', 'precision', 'of', '35n', 'requiring', 'only', 'a', 'few', 'measurements', 'even', 'for', 'very', 'large', 'n', 'we', 'obtain', 'an', 'asymptotic', 'scaling', 'law', 'of', 'deltathetaapprox', '2132lnlnn_tottandeltatheta_0n_tot', 'resulting', 'in', 'a', 'final', 'precision', 'of', 'approx', '10n_tot', 'this', 'scheme', 'can', 'be', 'readily', 'implemented', 'in', 'a', 'doublewell', 'boseeinstein', 'condensate', 'system', 'as', 'the', 'optimal', 'input', 'states', 'can', 'be', 'obtained', 'by', 'adiabatic', 'manipulation', 'of', 'the', 'doublewell', 'ground', 'state']] | [-0.13817666534536568, 0.20549711765014828, -0.11076523836922304, 0.006856893150446315, 0.017854402437372956, -0.20469134718959414, 0.08736570289921622, 0.36385152592908504, -0.23287148906510005, -0.3078080778941512, 0.0862646682509185, -0.2267308208186499, -0.04448076028578965, 0.2122076927953176, -0.046559763649955045, 0.09491697774275906, 0.09810878362780971, 0.04154030276758437, -0.07289535154939572, -0.20179272596832626, 0.25518125419093424, 0.04060602120246536, 0.2652835840604795, -0.00662622245952718, 0.14834039029123824, 0.0016464094736057427, 0.0857151630190165, 0.014689693075799665, -0.10516749910627629, 0.0618313016368134, 0.2502805951670491, 0.06337875167860887, 0.23389284722795783, -0.3608931358470473, -0.16299972716942718, 0.13760106221505608, 0.1792589700455929, 0.18847990903350012, -0.004593498807205537, -0.3309466253402968, 0.013563052991174104, -0.195764165102728, -0.15407622584264524, -0.14155774435223362, -0.030513497175966468, -0.0001567550826557847, -0.3144028561113965, 0.06403454057258633, 0.006060860419371562, 0.014269345491409822, -0.004746480424827066, -0.09026807461515098, -0.00242136189959539, 0.07789347847461585, -0.07220134814089352, 0.0699308681414127, 0.11231604094306628, -0.15857886011548009, -0.08962053888975534, 0.3261297143230489, -0.11633740421366524, -0.182875553319274, 0.10304790725137374, -0.1651743630005061, -0.058437834948647856, 0.13570993476503984, 0.14933500573979402, 0.11220088252706802, -0.08212433378898011, 0.05650695801627743, -0.023118041676844565, 0.24524430442572565, 0.10007701680973866, 0.10622014438682921, 0.1828007274217066, 0.16058588306177696, 0.08781307254549722, 0.16621143697551632, -0.12228407668014772, -0.07760471616979497, -0.2871903907832538, -0.1253435822355366, -0.22294596848330756, 0.07963278421106958, -0.11416812962299672, -0.13609913696513273, 0.34365223314767196, 0.08821887317539533, 0.2267273575493474, 0.04671879265143341, 0.28541719555392747, 0.16203083439870888, 0.016660106584949548, 0.05952145637449801, 0.2397634530793731, 0.11206118751663802, 0.06733340995166047, -0.21185007819891438, 0.015266750312894005, 0.008098815318716819] |
709.2144 | On-demand generation of entanglement of atomic qubits via optical
interferometry | The problem of on-demand generation of entanglement between single-atom
qubits via a common photonic channel is examined within the framework of
optical interferometry. As expected, for a Mach-Zehnder interferometer with
coherent laser beam as input, a high-finesse optical cavity is required to
overcome sensitivity to spontaneous emission. We show, however, that with a
twin-Fock input, useful entanglement can in principle be created without
cavity-enhancement. Both approaches require single-photon resolving detectors,
and best results would be obtained by combining both cavity-feedback and
twin-Fock inputs. Such an approach may allow a fidelity of $.99$ using a
two-photon input and currently available mirror and detector technology. In
addition, we study interferometers based on NOON states and show that they
perform similarly to the twin-Fock states, yet without the need for
high-precision photo-detectors. The present interferometrical approach can
serve as a universal, scalable circuit element for quantum information
processing, from which fast quantum gates, deterministic teleportation,
entanglement swapping $etc.$, can be realized with the aid of single-qubit
operations.
| quant-ph | the problem of ondemand generation of entanglement between singleatom qubits via a common photonic channel is examined within the framework of optical interferometry as expected for a machzehnder interferometer with coherent laser beam as input a highfinesse optical cavity is required to overcome sensitivity to spontaneous emission we show however that with a twinfock input useful entanglement can in principle be created without cavityenhancement both approaches require singlephoton resolving detectors and best results would be obtained by combining both cavityfeedback and twinfock inputs such an approach may allow a fidelity of 99 using a twophoton input and currently available mirror and detector technology in addition we study interferometers based on noon states and show that they perform similarly to the twinfock states yet without the need for highprecision photodetectors the present interferometrical approach can serve as a universal scalable circuit element for quantum information processing from which fast quantum gates deterministic teleportation entanglement swapping etc can be realized with the aid of singlequbit operations | [['the', 'problem', 'of', 'ondemand', 'generation', 'of', 'entanglement', 'between', 'singleatom', 'qubits', 'via', 'a', 'common', 'photonic', 'channel', 'is', 'examined', 'within', 'the', 'framework', 'of', 'optical', 'interferometry', 'as', 'expected', 'for', 'a', 'machzehnder', 'interferometer', 'with', 'coherent', 'laser', 'beam', 'as', 'input', 'a', 'highfinesse', 'optical', 'cavity', 'is', 'required', 'to', 'overcome', 'sensitivity', 'to', 'spontaneous', 'emission', 'we', 'show', 'however', 'that', 'with', 'a', 'twinfock', 'input', 'useful', 'entanglement', 'can', 'in', 'principle', 'be', 'created', 'without', 'cavityenhancement', 'both', 'approaches', 'require', 'singlephoton', 'resolving', 'detectors', 'and', 'best', 'results', 'would', 'be', 'obtained', 'by', 'combining', 'both', 'cavityfeedback', 'and', 'twinfock', 'inputs', 'such', 'an', 'approach', 'may', 'allow', 'a', 'fidelity', 'of', '99', 'using', 'a', 'twophoton', 'input', 'and', 'currently', 'available', 'mirror', 'and', 'detector', 'technology', 'in', 'addition', 'we', 'study', 'interferometers', 'based', 'on', 'noon', 'states', 'and', 'show', 'that', 'they', 'perform', 'similarly', 'to', 'the', 'twinfock', 'states', 'yet', 'without', 'the', 'need', 'for', 'highprecision', 'photodetectors', 'the', 'present', 'interferometrical', 'approach', 'can', 'serve', 'as', 'a', 'universal', 'scalable', 'circuit', 'element', 'for', 'quantum', 'information', 'processing', 'from', 'which', 'fast', 'quantum', 'gates', 'deterministic', 'teleportation', 'entanglement', 'swapping', 'etc', 'can', 'be', 'realized', 'with', 'the', 'aid', 'of', 'singlequbit', 'operations']] | [-0.1043886240326051, 0.1739611099182201, -0.08294814517664398, 0.02386437556877778, 0.0014160758432892203, -0.25587076755766214, 0.07801685664885638, 0.45708220159532104, -0.22520480238678264, -0.32080468008626095, 0.07856609939206163, -0.23306018416912644, -0.09247279094862094, 0.28036212425341867, -0.05962804474502208, 0.15139026655401303, 0.11508875961295484, -0.025294473407607227, -0.0318149885846919, -0.1671090820258586, 0.23869697931594003, 0.06552393421205047, 0.31253364794452654, 0.02590042513550939, 0.1309359710180755, 0.0034749861035290306, 0.012796351311876912, -0.03470361940105634, -0.03890798233802633, 0.10929664899880763, 0.3057358491568729, 0.1418874800673749, 0.22510404721976607, -0.4824395557762655, -0.21309670577957038, 0.08431947106164109, 0.145784944855998, 0.20682204736359533, -0.05028081778936842, -0.3316836603802909, 0.0038826659470339495, -0.18288165027207118, -0.07786871619062624, -0.117096830977904, -0.054018774861184185, -0.008791797353737514, -0.2901634164211666, 0.008455274889439894, 0.0038839164264985802, 0.0071035745793645005, 0.0525307346055387, -0.018723612611233457, 0.03364900017494302, 0.10675059109097747, -0.14155042293035866, 0.033569702553631384, 0.16067745364549643, -0.1396141128723104, -0.20844618920408234, 0.35714801888701514, -0.07625745138599098, -0.16004401827631004, 0.1333793904814452, -0.08749291472896888, -0.05014113933019386, 0.06836156833751207, 0.13654414269190418, 0.09293171682143642, -0.12932062345025547, 0.00042145743221901587, 0.01572002879875295, 0.2512691357727248, 0.10041451504014066, 0.19070957419091117, 0.23091014850587566, 0.16363574828426897, 0.06849396669650822, 0.18159061269348978, -0.11584692244653028, -0.04566363525502612, -0.3013447543243346, -0.17288157304547488, -0.23619299850917988, 0.07727688494955469, -0.039346716317696, -0.09522431758032437, 0.343670515560665, 0.1494460965955253, 0.13340508133355825, -0.008537005435281141, 0.3586754571657879, 0.0939323119312079, 0.10659058912417228, 0.02903921133695753, 0.2627665620365757, 0.12052171976888335, 0.06032225962991089, -0.2322238394433484, 0.04148520599119365, -0.01328065988116332] |
709.2145 | Line emission from optically thick relativistic accretion tori | We calculate line emission from relativistic accretion tori around Kerr black
holes and investigate how the line profiles depend on the viewing inclination,
spin of the central black hole, parameters describing the shape of the tori,
and spatial distribution of line emissivity on the torus surface. We also
compare the lines with those from thin accretion disks. Our calculations show
that lines from tori and lines from thin disks share several common features.
In particular, at low and moderate viewing inclination angles they both have
asymmetric double-peaked profiles with a tall, sharp blue peak and a shorter
red peak which has an extensive red wing. At high viewing inclination angles
they both have very broad, asymmetric lines which can be roughly considered
single-peaked. Torus and disk lines may show very different red and blue line
wings, but the differences are due to the models for relativistic tori and
disks having differing inner boundary radii. Self-eclipse and lensing play some
role in shaping the torus lines, but they are effective only at high
inclination angles. If inner and outer radii of an accretion torus are the same
as those of an accretion disk, their line profiles show substantial differences
only when inclination angles are close to 90 degrees, and those differences
manifest mostly at the central regions of the lines instead of the wings.
| astro-ph | we calculate line emission from relativistic accretion tori around kerr black holes and investigate how the line profiles depend on the viewing inclination spin of the central black hole parameters describing the shape of the tori and spatial distribution of line emissivity on the torus surface we also compare the lines with those from thin accretion disks our calculations show that lines from tori and lines from thin disks share several common features in particular at low and moderate viewing inclination angles they both have asymmetric doublepeaked profiles with a tall sharp blue peak and a shorter red peak which has an extensive red wing at high viewing inclination angles they both have very broad asymmetric lines which can be roughly considered singlepeaked torus and disk lines may show very different red and blue line wings but the differences are due to the models for relativistic tori and disks having differing inner boundary radii selfeclipse and lensing play some role in shaping the torus lines but they are effective only at high inclination angles if inner and outer radii of an accretion torus are the same as those of an accretion disk their line profiles show substantial differences only when inclination angles are close to 90 degrees and those differences manifest mostly at the central regions of the lines instead of the wings | [['we', 'calculate', 'line', 'emission', 'from', 'relativistic', 'accretion', 'tori', 'around', 'kerr', 'black', 'holes', 'and', 'investigate', 'how', 'the', 'line', 'profiles', 'depend', 'on', 'the', 'viewing', 'inclination', 'spin', 'of', 'the', 'central', 'black', 'hole', 'parameters', 'describing', 'the', 'shape', 'of', 'the', 'tori', 'and', 'spatial', 'distribution', 'of', 'line', 'emissivity', 'on', 'the', 'torus', 'surface', 'we', 'also', 'compare', 'the', 'lines', 'with', 'those', 'from', 'thin', 'accretion', 'disks', 'our', 'calculations', 'show', 'that', 'lines', 'from', 'tori', 'and', 'lines', 'from', 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709.2146 | High frequency EPR on dilute solutions of the single molecule magnet
Ni$_4$ | Dilute frozen solutions of the single molecule magnet Ni$_4$ (S=4) have been
studied using high frequency D-band (130 GHz) EPR. Despite the random
orientation of the molecules, well defined EPR absorption peaks are observed,
due to the strong variation of the splittings between the different spin-states
on magnetic field. Temperature dependent studies above 4 K and comparison with
simulations enable identification of the spin transitions and determination of
the Hamiltonian parameters. The latter are found to be close to those of Ni$_4$
single crystals. No echo was detected from Ni$_4$ in pulsed experiments, which
sets an upper bound of about 50 ns on the spin coherence time.
| cond-mat.other | dilute frozen solutions of the single molecule magnet ni_4 s4 have been studied using high frequency dband 130 ghz epr despite the random orientation of the molecules well defined epr absorption peaks are observed due to the strong variation of the splittings between the different spinstates on magnetic field temperature dependent studies above 4 k and comparison with simulations enable identification of the spin transitions and determination of the hamiltonian parameters the latter are found to be close to those of ni_4 single crystals no echo was detected from ni_4 in pulsed experiments which sets an upper bound of about 50 ns on the spin coherence time | [['dilute', 'frozen', 'solutions', 'of', 'the', 'single', 'molecule', 'magnet', 'ni_4', 's4', 'have', 'been', 'studied', 'using', 'high', 'frequency', 'dband', '130', 'ghz', 'epr', 'despite', 'the', 'random', 'orientation', 'of', 'the', 'molecules', 'well', 'defined', 'epr', 'absorption', 'peaks', 'are', 'observed', 'due', 'to', 'the', 'strong', 'variation', 'of', 'the', 'splittings', 'between', 'the', 'different', 'spinstates', 'on', 'magnetic', 'field', 'temperature', 'dependent', 'studies', 'above', '4', 'k', 'and', 'comparison', 'with', 'simulations', 'enable', 'identification', 'of', 'the', 'spin', 'transitions', 'and', 'determination', 'of', 'the', 'hamiltonian', 'parameters', 'the', 'latter', 'are', 'found', 'to', 'be', 'close', 'to', 'those', 'of', 'ni_4', 'single', 'crystals', 'no', 'echo', 'was', 'detected', 'from', 'ni_4', 'in', 'pulsed', 'experiments', 'which', 'sets', 'an', 'upper', 'bound', 'of', 'about', '50', 'ns', 'on', 'the', 'spin', 'coherence', 'time']] | [-0.13939454762491388, 0.19227912778888337, -0.0008619507670263264, 0.02359948294219848, -0.0054618666801497205, -0.14382439379571615, 0.05710153787388144, 0.4042370422508254, -0.19818843022493698, -0.36586280072556165, 0.0558364129588269, -0.29630245774914726, 0.0027363984627979936, 0.19236592999137242, 0.06665421536662311, 0.040539700735934846, 0.009665304242206789, 0.04406969663991689, -0.09071718632443765, -0.17166282378232856, 0.22135929830772716, 0.05528353819858596, 0.3056325402935514, 0.08460283821239789, 0.07159730592289958, -0.0077125396830830546, 0.06170770731780713, -0.0237323123456858, -0.12305941563273702, 0.05155905293057037, 0.22906492195074735, 0.016215345545924294, 0.15753755686700205, -0.414162869713156, -0.19916806632443984, 0.0759693807182468, 0.11215489578790197, 0.13416240712987895, -0.014754578216457261, -0.3176605737393844, 0.03287283920957141, -0.10168183025703809, -0.11277752546876425, -0.04953645228051415, 0.003496126699365815, 0.05450116427806772, -0.20067562049724788, 0.10015896517211119, 0.05082857156516201, 0.12121502761092585, -0.09853119272999813, -0.13682960284107895, -0.04047841448380359, 0.08009761219863806, 0.0431546624053583, 0.06950134757436185, 0.17622577785905974, -0.07030206780323636, -0.14120462525496694, 0.328679365797891, -0.0886523882558169, -0.09176834365875225, 0.1933469986107862, -0.2105513973407465, -0.11763253516004046, 0.21058237904282373, 0.09391137285192853, 0.13802552486500033, -0.13292093124462587, 0.022737157416843297, -0.04110441060963078, 0.23975326188744228, 0.12690500679826278, 0.08323550317762855, 0.22870834306683216, 0.134528313876591, 0.004680128448216297, 0.14312934237379998, -0.1693793360109084, -0.08499418381845282, -0.20266113400668184, -0.10386776630157413, -0.2194492735194965, 0.07829809077105825, -0.05845157804688935, -0.12720057871366772, 0.381379047917881, 0.10148817731641999, 0.18642547186986308, -0.048792304315552044, 0.24033138916662364, 0.12191994224944822, 0.08574074636883686, 0.003934797047524251, 0.3073077964570338, 0.23326695949779214, 0.07526860130889881, -0.2731563335558765, 0.06263255510287725, -0.061446014722095474] |
709.2147 | Argon Abundances in the Solar Neighborhood: Non-LTE Analysis of Orion
Association B-type Stars | Argon abundances have been derived for a sample of B main-sequence stars in
the Orion association. The abundance calculations are based on NLTE metal
line-blanketed model atmospheres calculated with the NLTE code TLUSTY and an
updated and complete argon model atom. We derive an average argon abundance for
this young population of A(Ar) = 6.66 +- 0.06. While our result is in excellent
agreement with a recent analysis of the Orion nebula, it is significantly
higher than the currently recommended solar value which is based on abundance
measurements in the solar corona. Moreover, the derived argon abundances in the
Orion B stars agree very well with a measurement from a solar impulsive flare
during which unmodified solar photospheric material was brought to flare
conditions. We therefore argue that the argon abundances obtained independently
for both the Orion B stars and the Orion nebula are representative of the disk
abundance value in the solar neighborhood. The lower coronal abundance may
reflect a depletion related to the FIP effect. We propose a new reference value
for the abundance of argon in the solar neighborhood, A(Ar) = 6.63 +- 0.10,
corresponding to Ar/O = 0.009.
| astro-ph | argon abundances have been derived for a sample of b mainsequence stars in the orion association the abundance calculations are based on nlte metal lineblanketed model atmospheres calculated with the nlte code tlusty and an updated and complete argon model atom we derive an average argon abundance for this young population of aar 666 006 while our result is in excellent agreement with a recent analysis of the orion nebula it is significantly higher than the currently recommended solar value which is based on abundance measurements in the solar corona moreover the derived argon abundances in the orion b stars agree very well with a measurement from a solar impulsive flare during which unmodified solar photospheric material was brought to flare conditions we therefore argue that the argon abundances obtained independently for both the orion b stars and the orion nebula are representative of the disk abundance value in the solar neighborhood the lower coronal abundance may reflect a depletion related to the fip effect we propose a new reference value for the abundance of argon in the solar neighborhood aar 663 010 corresponding to aro 0009 | [['argon', 'abundances', 'have', 'been', 'derived', 'for', 'a', 'sample', 'of', 'b', 'mainsequence', 'stars', 'in', 'the', 'orion', 'association', 'the', 'abundance', 'calculations', 'are', 'based', 'on', 'nlte', 'metal', 'lineblanketed', 'model', 'atmospheres', 'calculated', 'with', 'the', 'nlte', 'code', 'tlusty', 'and', 'an', 'updated', 'and', 'complete', 'argon', 'model', 'atom', 'we', 'derive', 'an', 'average', 'argon', 'abundance', 'for', 'this', 'young', 'population', 'of', 'aar', '666', '006', 'while', 'our', 'result', 'is', 'in', 'excellent', 'agreement', 'with', 'a', 'recent', 'analysis', 'of', 'the', 'orion', 'nebula', 'it', 'is', 'significantly', 'higher', 'than', 'the', 'currently', 'recommended', 'solar', 'value', 'which', 'is', 'based', 'on', 'abundance', 'measurements', 'in', 'the', 'solar', 'corona', 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0.15399320216545645, -0.2891522270794161, 0.163888693459078, 0.06937545464488673] |
709.2148 | New Constructions of Slice Links | We use techniques of Freedman and Teichner to prove that, under certain
circumstances, the multi-infection of a slice link is again slice (not
necessarily smoothly slice). We provide a general context for proving links are
slice that includes many of the previously known results.
| math.GT math.AT | we use techniques of freedman and teichner to prove that under certain circumstances the multiinfection of a slice link is again slice not necessarily smoothly slice we provide a general context for proving links are slice that includes many of the previously known results | [['we', 'use', 'techniques', 'of', 'freedman', 'and', 'teichner', 'to', 'prove', 'that', 'under', 'certain', 'circumstances', 'the', 'multiinfection', 'of', 'a', 'slice', 'link', 'is', 'again', 'slice', 'not', 'necessarily', 'smoothly', 'slice', 'we', 'provide', 'a', 'general', 'context', 'for', 'proving', 'links', 'are', 'slice', 'that', 'includes', 'many', 'of', 'the', 'previously', 'known', 'results']] | [-0.15100024034117543, 0.04984870237883094, -0.13449060167510843, 0.13222300903709217, -0.10133822159408483, -0.1626220335317559, 0.03245445377691541, 0.4122466346205667, -0.2385948555067528, -0.2353218067653997, 0.1671624456770545, -0.16180969792049985, -0.18182757176285566, 0.28319010073535666, -0.16710969389871108, -0.019978936869910983, 0.0653290757151364, 0.031486762552874074, -0.08814790521661729, -0.3113986005530108, 0.3678094467451406, -0.013662644748597644, 0.25115737258348353, 0.07528193931089887, 0.08947501792897318, 0.05029684123799725, -0.060750467226255774, 0.04503246505073337, -0.21871844377148042, 0.09601204614913048, 0.2206499717783096, 0.159139248147217, 0.22727817784301763, -0.35900957176331866, -0.22667429784616067, 0.1126085567250198, 0.16442951870822284, 0.09062483724813129, -0.046311798031701774, -0.2246286826381503, 0.13729624402557694, -0.15055952361936487, -0.15026961522566717, -0.08911459676401559, -0.06802738677753611, 0.015262993983924389, -0.24538628296753348, 0.01486868294345778, 0.1227031858248073, 0.01701594836100243, -0.035526478175766936, -0.04035817901874611, -0.0026104719334736812, 0.16846076331946047, 0.03945701176755477, 0.05617549385182386, 0.09110317017536523, -0.1059752263800176, -0.14024439605689326, 0.30624301463019016, -0.015807318609467772, -0.2528227284593984, 0.22568582567971113, -0.15224424961867722, -0.21612697868976136, 0.13141679971717124, 0.013758341370280399, 0.13544851985521789, -0.09585204218016115, 0.13380631429635984, -0.13848153804970342, 0.11118423418943273, 0.11564126689810046, 0.024928087776061147, 0.11993831110208533, 0.03424289570254988, 0.14194610805743438, 0.17725149975808033, -0.03250437000289906, -0.09172899778499159, -0.3307808064097582, -0.23764882922215863, -0.12149902961628381, 0.04270295007729654, -0.01752496606008377, -0.1920895801077402, 0.3885090906432895, 0.07584838195010847, 0.17138353189410166, 0.18144267901431682, 0.23974407455602356, 0.04986867648657671, 0.06924469920611659, 0.10486275775271446, 0.17645536340653983, 0.13029076091858538, 0.05001383896397297, -0.01862654941925389, 0.05107440227685973, 0.11676009571136431] |
709.2149 | Rigid Dualizing Complexes via Differential Graded Algebras (Survey) | In this article we survey recent results on rigid dualizing complexes over
commutative algebras. We begin by recalling what are dualizing complexes. Next
we define rigid complexes, and explain their functorial properties. Due to the
possible presence of torsion, we must use differential graded algebras in the
constructions. We then discuss rigid dualizing complexes. Finally we show how
rigid complexes can be used to understand Cohen-Macaulay homomorphisms and
relative dualizing sheaves.
| math.AG math.AC math.CT | in this article we survey recent results on rigid dualizing complexes over commutative algebras we begin by recalling what are dualizing complexes next we define rigid complexes and explain their functorial properties due to the possible presence of torsion we must use differential graded algebras in the constructions we then discuss rigid dualizing complexes finally we show how rigid complexes can be used to understand cohenmacaulay homomorphisms and relative dualizing sheaves | [['in', 'this', 'article', 'we', 'survey', 'recent', 'results', 'on', 'rigid', 'dualizing', 'complexes', 'over', 'commutative', 'algebras', 'we', 'begin', 'by', 'recalling', 'what', 'are', 'dualizing', 'complexes', 'next', 'we', 'define', 'rigid', 'complexes', 'and', 'explain', 'their', 'functorial', 'properties', 'due', 'to', 'the', 'possible', 'presence', 'of', 'torsion', 'we', 'must', 'use', 'differential', 'graded', 'algebras', 'in', 'the', 'constructions', 'we', 'then', 'discuss', 'rigid', 'dualizing', 'complexes', 'finally', 'we', 'show', 'how', 'rigid', 'complexes', 'can', 'be', 'used', 'to', 'understand', 'cohenmacaulay', 'homomorphisms', 'and', 'relative', 'dualizing', 'sheaves']] | [-0.17047080015894814, 0.01588043232750095, -0.053817240904990425, 0.14247073598278187, -0.1142869285688224, -0.12274382799916284, -0.07584596394797341, 0.47132829975494195, -0.4598672625044702, -0.15124912487841408, 0.04754085152436205, -0.19628611195202864, -0.21220047685357046, 0.1127108610431913, -0.31442742830496545, -0.11819343999500426, 0.061147249854681354, 0.06647135348806918, -0.06751128286861119, -0.3341807180976259, 0.45992343631428734, 0.01612232944888758, 0.18136000410247016, 0.08716205984983645, 0.07135526783449549, 0.0023333993805965906, -0.05541445136490002, 0.0510515868073513, -0.30484161978508806, 0.20382817425358463, 0.33300545840019125, 0.030032655270114332, 0.12224774259391805, -0.4830446773221795, -0.029308534384718244, 0.2301438583297209, 0.13886077192441468, 0.102880705797284, -0.0008075233945675509, -0.24904972289911878, 0.14151514188589817, -0.23723788782429528, -0.1435963695829498, -0.15001726630602924, 0.05851410897317487, 0.07942858869603402, -0.1367286956593604, -0.03206493425130529, 0.055406035255812086, 0.1423869586720223, -0.12294043041109828, -0.02527212477157968, -0.1071149362513507, 0.04867675312807862, -0.07980479549249293, -0.06506031973313697, 0.2032520285689495, -0.11159423037274728, -0.17974836358957938, 0.3658338441238017, -0.03525867705761363, -0.2039786205745079, 0.18472468071210552, -0.1807158383357168, -0.17284202588144953, 0.10844430194439655, 0.010425761801151323, 0.23719187497331853, -0.024694746517589395, 0.16761689982704922, -0.1179713844256082, 0.04606222461017085, 0.14448976779723882, 0.034660934942813824, 0.17018566864975532, 0.12981695067924512, 0.002975901634707837, 0.1554939784125989, 0.01019273433690025, -0.04469357371989401, -0.29736518844122617, -0.2062410165778768, -0.018263361347891704, 0.1674086739846938, -0.038952164495819654, -0.06701044318541674, 0.3680173926789996, 0.17442786039679614, 0.20108661302496536, 0.13746633776791498, 0.26745426905682496, -0.0740941919150277, 0.07531530046376439, -0.05377706864350278, 0.16741946152686862, 0.32739860823207445, -0.017156576149126277, -0.05364473782558466, -0.048528240263973635, 0.21201646646720843] |
709.215 | A comment on "Computational periodicity as observed in a simple system,"
by Edward N. Lorenz (2006a) | This paper has been withdrawn by the authors as requested by the journal.
| nlin.CD | this paper has been withdrawn by the authors as requested by the journal | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'as', 'requested', 'by', 'the', 'journal']] | [-0.051849561815078445, -0.0056348205902255494, -0.07618304599936192, -0.1004991584833568, -0.1393480429855677, -0.049276651814579964, 0.04166958718381535, 0.2856891883107332, -0.2531938112627428, -0.44801925466610837, 0.13133096007200387, -0.2939828304717174, -0.14337604048733527, 0.06278734553891879, -0.3007121467246459, 0.12294356983441573, -0.0004248587557902703, -0.02029255634317031, 0.021162373801836602, -0.4277529940009117, 0.35447068684376204, 0.22486130377421013, 0.26011213559943897, 0.168812705275531, -0.01888717761119971, -0.03282204700204042, -0.2058954362112742, 0.06288481446412894, -0.18437307299329683, 0.09788784248611102, 0.2766952377099257, 0.0949116730883431, 0.49358691389744097, -0.3823587332780545, -0.2640858286848435, 0.04187423033783069, 0.1913424741763335, 0.09000880213884208, -0.068128427848793, -0.39378876697558624, 0.22539102744597656, -0.36977073091727036, -0.084314132324205, 0.02727558033970686, 0.16379079065070704, -0.01941175300341386, -0.024764987711723033, 0.03804770534714827, 0.13610507347262824, 0.20174405437249404, 0.08285701389496143, -0.19688050271585011, 0.05356425104232935, 0.1815954936811557, 0.21368432847353128, 0.1282774697129543, 0.01906768433176554, -0.0631710620274624, -0.1629671689409476, 0.42775138410238117, 0.04760090018121096, -0.1845845439686225, 0.057354614711724795, -0.0030914323690992137, -0.12012008749521695, 0.08806569673694097, 0.14324752807330626, 0.03413633930568512, -0.30875479917113596, 0.2414826431956429, -0.14468348527757022, 0.12076951047548881, 0.26639100837592894, -0.07785697453297101, 0.08156195741433364, 0.09967913077427791, -0.047328426072803825, 0.1920860493555665, 0.032444086498939075, 0.05385962759072964, -0.19804803625895426, -0.1725652296669208, -0.33662934658619076, 0.07478802708479074, 0.24336573825432703, -0.01866327140193719, 0.4570668362654172, 0.10169668065813872, 0.10147862766797726, -0.15907040009131798, 0.3282720475242688, 0.19203896002055934, 0.07335567904206422, 0.04264881605139145, 0.2931607769658932, 0.061987335614573494, 0.30691137078862923, -0.0228713398369459, 0.2759571803303865, 0.21627653848666412] |
709.2151 | Eigenvalue estimates for the scattering problem associated to the
sine-Gordon equation | One of the difficulties associated with the scattering problems arising in
connection with integrable systems is that they are frequently
non-self-adjoint, making it difficult to determine where the spectrum lies. In
this paper, we consider the problem of locating and counting the discrete
eigenvalues associated with the scattering problem for which the sine-Gordon
equation is the isospectral flow. In particular, suppose that we take an
initially stationary pulse for the sine-Gordon equation, with a profile that
has either one extremum point of height less than pi and topological charge 0,
or is monotone with topological charge +-1. Then we show that the point
spectrum lies on the unit circle and is simple. Furthermore, we give a count of
the number of eigenvalues. This result is an analog of that of Klaus and Shaw
for the Zakharov-Shabat scattering problem. We also relate our results, as well
as those of Klaus and Shaw, to the Krein stability theory for symplectic
matrices. In particular we show that the scattering problem associated to the
sine-Gordon equation has a symplectic structure, and under the above conditions
the point eigenvalues have a definite Krein signature, and are thus simple and
lie on the unit circle.
| math.SP math-ph math.MP | one of the difficulties associated with the scattering problems arising in connection with integrable systems is that they are frequently nonselfadjoint making it difficult to determine where the spectrum lies in this paper we consider the problem of locating and counting the discrete eigenvalues associated with the scattering problem for which the sinegordon equation is the isospectral flow in particular suppose that we take an initially stationary pulse for the sinegordon equation with a profile that has either one extremum point of height less than pi and topological charge 0 or is monotone with topological charge 1 then we show that the point spectrum lies on the unit circle and is simple furthermore we give a count of the number of eigenvalues this result is an analog of that of klaus and shaw for the zakharovshabat scattering problem we also relate our results as well as those of klaus and shaw to the krein stability theory for symplectic matrices in particular we show that the scattering problem associated to the sinegordon equation has a symplectic structure and under the above conditions the point eigenvalues have a definite krein signature and are thus simple and lie on the unit circle | [['one', 'of', 'the', 'difficulties', 'associated', 'with', 'the', 'scattering', 'problems', 'arising', 'in', 'connection', 'with', 'integrable', 'systems', 'is', 'that', 'they', 'are', 'frequently', 'nonselfadjoint', 'making', 'it', 'difficult', 'to', 'determine', 'where', 'the', 'spectrum', 'lies', 'in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'locating', 'and', 'counting', 'the', 'discrete', 'eigenvalues', 'associated', 'with', 'the', 'scattering', 'problem', 'for', 'which', 'the', 'sinegordon', 'equation', 'is', 'the', 'isospectral', 'flow', 'in', 'particular', 'suppose', 'that', 'we', 'take', 'an', 'initially', 'stationary', 'pulse', 'for', 'the', 'sinegordon', 'equation', 'with', 'a', 'profile', 'that', 'has', 'either', 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'thus', 'simple', 'and', 'lie', 'on', 'the', 'unit', 'circle']] | [-0.11961275836260961, 0.09949393503864568, -0.07949967424960891, 0.06779506860298559, -0.08182380858916397, -0.1258419857093662, -0.011774568582168925, 0.35147097618693496, -0.28540807974585636, -0.22835854727110297, 0.13917592212548432, -0.3209986796172046, -0.19796939711460854, 0.1876191310526045, -0.0691941334402666, 0.05728637010804448, 0.04578001180373544, 0.10181157925779272, -0.08643348466361588, -0.19570231926510456, 0.4009930334550015, 0.006301193479354957, 0.20193128766674528, 0.07288504244341988, 0.08577339594420888, 0.024167271432742925, 0.040100713431877294, -0.02087948564440012, -0.11715398039357285, 0.09809736838919958, 0.24221055588951737, 0.07341680893131611, 0.22590360225631823, -0.3972779508895386, -0.19961794040601083, 0.14908967940979193, 0.15066219845683732, 0.07575574411774269, -0.05120187890528696, -0.2613112715566671, 0.10144212785125453, -0.1093461282677649, -0.1648190300279863, 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709.2152 | Heating Hot Atmospheres with Active Galactic Nuclei | High resolution X-ray spectroscopy of the hot gas in galaxy clusters has
shown that the gas is not cooling to low temperatures at the predicted rates of
hundreds to thousands of solar masses per year. X-ray images have revealed
giant cavities and shock fronts in the hot gas that provide a direct and
relatively reliable means of measuring the energy injected into hot atmospheres
by active galactic nuclei (AGN). Average radio jet powers are near those
required to offset radiative losses and to suppress cooling in isolated giant
elliptical galaxies, and in larger systems up to the richest galaxy clusters.
This coincidence suggests that heating and cooling are coupled by feedback,
which suppresses star formation and the growth of luminous galaxies. How jet
energy is converted to heat and the degree to which other heating mechanisms
are contributing, eg. thermal conduction, are not well understood. Outburst
energies require substantial late growth of supermassive black holes. Unless
all of the approximately 10E62 erg required to suppress star formation is
deposited in the cooling regions of clusters, AGN outbursts must alter
large-scale properties of the intracluster medium.
| astro-ph | high resolution xray spectroscopy of the hot gas in galaxy clusters has shown that the gas is not cooling to low temperatures at the predicted rates of hundreds to thousands of solar masses per year xray images have revealed giant cavities and shock fronts in the hot gas that provide a direct and relatively reliable means of measuring the energy injected into hot atmospheres by active galactic nuclei agn average radio jet powers are near those required to offset radiative losses and to suppress cooling in isolated giant elliptical galaxies and in larger systems up to the richest galaxy clusters this coincidence suggests that heating and cooling are coupled by feedback which suppresses star formation and the growth of luminous galaxies how jet energy is converted to heat and the degree to which other heating mechanisms are contributing eg thermal conduction are not well understood outburst energies require substantial late growth of supermassive black holes unless all of the approximately 10e62 erg required to suppress star formation is deposited in the cooling regions of clusters agn outbursts must alter largescale properties of the intracluster medium | [['high', 'resolution', 'xray', 'spectroscopy', 'of', 'the', 'hot', 'gas', 'in', 'galaxy', 'clusters', 'has', 'shown', 'that', 'the', 'gas', 'is', 'not', 'cooling', 'to', 'low', 'temperatures', 'at', 'the', 'predicted', 'rates', 'of', 'hundreds', 'to', 'thousands', 'of', 'solar', 'masses', 'per', 'year', 'xray', 'images', 'have', 'revealed', 'giant', 'cavities', 'and', 'shock', 'fronts', 'in', 'the', 'hot', 'gas', 'that', 'provide', 'a', 'direct', 'and', 'relatively', 'reliable', 'means', 'of', 'measuring', 'the', 'energy', 'injected', 'into', 'hot', 'atmospheres', 'by', 'active', 'galactic', 'nuclei', 'agn', 'average', 'radio', 'jet', 'powers', 'are', 'near', 'those', 'required', 'to', 'offset', 'radiative', 'losses', 'and', 'to', 'suppress', 'cooling', 'in', 'isolated', 'giant', 'elliptical', 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709.2153 | Generalized Vandermonde's system and Lagrange's interpolation | We give explicit formulas as well as a quadratic time algorithm to solve (so
called) generalized Vandermonde's systems of p linear equations and n
variables. It allows in particular to find all (so called Lagrange's)
interpolation polynoms with degree n-1 taking given values in p distinct
points.
| math.NA | we give explicit formulas as well as a quadratic time algorithm to solve so called generalized vandermondes systems of p linear equations and n variables it allows in particular to find all so called lagranges interpolation polynoms with degree n1 taking given values in p distinct points | [['we', 'give', 'explicit', 'formulas', 'as', 'well', 'as', 'a', 'quadratic', 'time', 'algorithm', 'to', 'solve', 'so', 'called', 'generalized', 'vandermondes', 'systems', 'of', 'p', 'linear', 'equations', 'and', 'n', 'variables', 'it', 'allows', 'in', 'particular', 'to', 'find', 'all', 'so', 'called', 'lagranges', 'interpolation', 'polynoms', 'with', 'degree', 'n1', 'taking', 'given', 'values', 'in', 'p', 'distinct', 'points']] | [-0.1511068449732154, 0.08628378119914139, -0.07681124207583513, 0.06537923617090316, -0.10736741810204818, -0.2192543698375688, 0.037540948018431664, 0.2866540899936189, -0.2982566711750436, -0.30036768418281, 0.04193752580520479, -0.24111954415584866, -0.20006282283290427, 0.17021960043843756, -0.039886391492240984, 0.09409301465239743, -0.007658677690840782, 0.07830065831621276, -0.06804953404563538, -0.2840312133206332, 0.25793666776983026, -0.04219751425850344, 0.13776294841490527, -0.020326990184641663, 0.1894254779562037, 0.06978877442591686, 0.006425845218782729, 0.04842529931363273, -0.1582352260841017, 0.032929846571084664, 0.31785593986352706, 0.13310094837574882, 0.25381546744957884, -0.40717987755828716, -0.1210037354043031, 0.1850167550047503, 0.1686116729545942, 0.09341206120208223, 0.03642043409908705, -0.18188748869331592, 0.07871649885163741, -0.13160223070751292, -0.17686344413681232, -0.1358410604892576, 0.10482428707380562, 0.056491546412097644, -0.33166091019248073, 0.018420234074855737, 0.08904712093236083, 0.0588554793453597, -0.05308904793197686, -0.200221735984087, 0.002011235263396768, 0.05264263729901707, 0.019788904893311098, 0.016218863724869616, -0.01741576271052373, -0.019653024607674874, -0.12107634457184914, 0.38285880856850046, -0.029769422141513093, -0.2579221867738252, 0.09340865136262902, -0.1177035280394348, -0.1568071185462573, 0.0915792369620597, 0.16472657260663331, 0.1723109454971099, -0.08334581281474614, 0.17501230206850799, -0.08271493972774516, 0.12032063335101022, 0.12346764108998344, 0.010653843914971073, 0.08343993834754888, 0.015038000058105334, 0.08764716688583189, 0.16073458540709096, -0.0013453196337882508, -0.09520879569661586, -0.3241454805148409, -0.14839273493023628, -0.15310090171183122, 0.06106766240740631, -0.11247502690387959, -0.19540042021965726, 0.3185582348006837, 0.10115861688601843, 0.2496995319651955, 0.11269323913717365, 0.2453742892025633, 0.19259832240145733, 0.06932937335644036, 0.111612877848142, 0.10437219972385371, 0.13430261239409447, 0.029214829721666398, -0.1494298302667572, 0.018220566163592515, 0.18055239117684516] |
709.2154 | The AMS-RICH velocity and charge reconstruction | The AMS detector, to be installed on the International Space Station,
includes a Ring Imaging Cerenkov detector with two different radiators, silica
aerogel (n=1.05) and sodium fluoride (n=1.334). This detector is designed to
provide very precise measurements of velocity and electric charge in a wide
range of cosmic nuclei energies and atomic numbers. The detector geometry, in
particular the presence of a reflector for acceptance purposes, leads to
complex Cerenkov patterns detected in a pixelized photomultiplier matrix. The
results of different reconstruction methods applied to test beam data as well
as to simulated samples are presented. To ensure nominal performances
throughout the flight, several detector parameters have to be carefully
monitored. The algorithms developed to fulfill these requirements are
presented. The velocity and charge measurements provided by the RICH detector
endow the AMS spectrometer with precise particle identification capabilities in
a wide energy range. The expected performances on light isotope separation are
discussed.
| astro-ph | the ams detector to be installed on the international space station includes a ring imaging cerenkov detector with two different radiators silica aerogel n105 and sodium fluoride n1334 this detector is designed to provide very precise measurements of velocity and electric charge in a wide range of cosmic nuclei energies and atomic numbers the detector geometry in particular the presence of a reflector for acceptance purposes leads to complex cerenkov patterns detected in a pixelized photomultiplier matrix the results of different reconstruction methods applied to test beam data as well as to simulated samples are presented to ensure nominal performances throughout the flight several detector parameters have to be carefully monitored the algorithms developed to fulfill these requirements are presented the velocity and charge measurements provided by the rich detector endow the ams spectrometer with precise particle identification capabilities in a wide energy range the expected performances on light isotope separation are discussed | [['the', 'ams', 'detector', 'to', 'be', 'installed', 'on', 'the', 'international', 'space', 'station', 'includes', 'a', 'ring', 'imaging', 'cerenkov', 'detector', 'with', 'two', 'different', 'radiators', 'silica', 'aerogel', 'n105', 'and', 'sodium', 'fluoride', 'n1334', 'this', 'detector', 'is', 'designed', 'to', 'provide', 'very', 'precise', 'measurements', 'of', 'velocity', 'and', 'electric', 'charge', 'in', 'a', 'wide', 'range', 'of', 'cosmic', 'nuclei', 'energies', 'and', 'atomic', 'numbers', 'the', 'detector', 'geometry', 'in', 'particular', 'the', 'presence', 'of', 'a', 'reflector', 'for', 'acceptance', 'purposes', 'leads', 'to', 'complex', 'cerenkov', 'patterns', 'detected', 'in', 'a', 'pixelized', 'photomultiplier', 'matrix', 'the', 'results', 'of', 'different', 'reconstruction', 'methods', 'applied', 'to', 'test', 'beam', 'data', 'as', 'well', 'as', 'to', 'simulated', 'samples', 'are', 'presented', 'to', 'ensure', 'nominal', 'performances', 'throughout', 'the', 'flight', 'several', 'detector', 'parameters', 'have', 'to', 'be', 'carefully', 'monitored', 'the', 'algorithms', 'developed', 'to', 'fulfill', 'these', 'requirements', 'are', 'presented', 'the', 'velocity', 'and', 'charge', 'measurements', 'provided', 'by', 'the', 'rich', 'detector', 'endow', 'the', 'ams', 'spectrometer', 'with', 'precise', 'particle', 'identification', 'capabilities', 'in', 'a', 'wide', 'energy', 'range', 'the', 'expected', 'performances', 'on', 'light', 'isotope', 'separation', 'are', 'discussed']] | [-0.06831090017313775, 0.16323990485091744, -0.05827758648420537, 0.03560305678432709, -0.03172463389101291, -0.16032454935990054, -0.030808734026657857, 0.40926682368521333, -0.1821493709913308, -0.3920932701102605, 0.08399341060277565, -0.30463811850763467, -0.0032300081986345744, 0.23636070669607234, -0.05184001450145029, 0.11162762268519912, 0.10516529200341258, -0.022697303342858122, -0.07050809847329506, -0.19127198966146497, 0.20448415420373509, 0.18099629100853284, 0.32931545005474044, 0.03982867382613844, 0.14730211971771878, -0.0036849535183711467, -0.05586957492816605, 0.026553915730657632, -0.11048368967787706, 0.06385143458732943, 0.3353625025725035, 0.10424794188369751, 0.14774373754564868, -0.41216213718105693, -0.1736120360805408, 0.07401845270329718, 0.0732144681142496, 0.01767303676368963, -0.10369314952588052, -0.33268754221008795, 0.0702476917128814, -0.17285353667868644, -0.15408569231543592, -0.03701621564993586, -0.02708981886481572, 0.09117353686719741, -0.24860886518543243, -0.046449790040864365, -0.030349826122370648, 0.06892032529178418, -0.06406316851988729, -0.14631406796213828, 0.030544878622382192, 0.08101045212242752, 0.005504078824550992, -0.019993820619243995, 0.21106532404787445, -0.07702009342335116, -0.05294010282408348, 0.3561808119687301, -0.024844666939890504, -0.17668756921040385, 0.1988592770097679, -0.19490522621996015, -0.0599604924914035, 0.20508967459471406, 0.21462610254284778, 0.08418075261196416, -0.1961424424325263, 0.023552833613633226, 0.017455186961390274, 0.19570972473899784, 0.08699478152955539, 0.06438309926919542, 0.20389305197290683, 0.22885459017982757, 0.057745602887735004, 0.12101517445760117, -0.205583842547831, -0.020266798445893647, -0.28593018404698295, -0.147050068180665, -0.15767046838606658, -0.03112760857727967, -0.01025946430002621, -0.12920460807110526, 0.39151520437965365, 0.1196229830966331, 0.1591403041935624, -0.04094498102724748, 0.30794686050227793, 0.007002367297996227, 0.10342395912697325, -0.04609660772104306, 0.3091181327671572, 0.1459652805765233, 0.18218384594901613, -0.1920240756069114, 0.026145440618213462, 0.015453006408949333] |
709.2155 | A general learning algorithm for functions between metric spaces | In this paper we show how to approximate ("learn") a function f, where X and
Y are metric spaces.
| math.FA math.GM | in this paper we show how to approximate learn a function f where x and y are metric spaces | [['in', 'this', 'paper', 'we', 'show', 'how', 'to', 'approximate', 'learn', 'a', 'function', 'f', 'where', 'x', 'and', 'y', 'are', 'metric', 'spaces']] | [-0.08298844961743605, 0.054806141268559976, -0.11263513839558552, 0.11309953050467332, -0.08298754385721527, -0.11303156572639157, 0.048716629371292106, 0.4986174308547848, -0.372486543890677, -0.2454442860264527, 0.015152260654998062, -0.2815650899551417, -0.2710922191801824, 0.101304244544161, -0.15341979672053926, 0.001059477021427531, -0.006646260962282356, 0.08738136379734467, -0.19772109301074556, -0.2980266383996135, 0.41628256126454, -0.09010530429843225, 0.19131215661764145, 0.021740569193896494, 0.18435097686750324, -0.01659618754332003, 0.03254834150797442, 0.01343277959447158, -0.17704833186182536, 0.15855898159114937, 0.35424859096345146, 0.14871870736150364, 0.3081113627474559, -0.316446770864882, -0.17402052286228067, 0.21963469233167798, 0.12478860563255455, -0.046596877620016276, 0.0036587897492082497, -0.2437945590599587, 0.14463757297122165, -0.1251387609855125, -0.04460192344298488, -0.14327225807171903, 0.07501340294746976, 0.05967386262981515, -0.37910658454424456, -0.04034318917087818, 0.09321155291246741, -0.02542966932646538, -0.019721871217418658, -0.04945441021731025, -0.04215127817894283, 0.07678352509576239, 0.04075289880366702, 0.2520540909547555, 0.08018104754094231, -0.04227294720170137, -0.030542023259362106, 0.3110895207838008, -0.1097241428337599, -0.3423745640994687, 0.09753669918465771, -0.19987077716934054, -0.15432231890429793, -0.008671942706170836, 0.2517306155672199, 0.2254972224074759, -0.10960361224256064, 0.20309885757619908, -0.0830117787577604, 0.1372626043464008, 0.03392561954004984, 0.03212496550067475, 0.09009265295523954, 0.1040312779185019, 0.09817305618995115, 0.14052822220286257, -0.025714485660979624, 0.02347288358233575, -0.32345562232168096, -0.18053691015627824, -0.15713205465458727, 0.10802082550760947, -0.046677825456993706, -0.16134704464179536, 0.32803358510136604, 0.19057744055202133, 0.30265101241438014, 0.11187012165196632, 0.21330846561805197, 0.050991135796434, -0.12624064421183184, 0.12345389864946667, 0.13236810992422857, 0.07809182301800895, 0.055237929385743643, -0.08429422602057457, 0.03252308036347753, 0.10825721836207729] |
709.2156 | The Candy-Passing Game for c\geq3n-2 | We determine the behavior of Tanton's candy-passing game for all
distributions of at least 3n-2 candies, where n is the number of students.
Specifically, we show that the configuration of candy in such a game eventually
becomes fixed.
| math.CO | we determine the behavior of tantons candypassing game for all distributions of at least 3n2 candies where n is the number of students specifically we show that the configuration of candy in such a game eventually becomes fixed | [['we', 'determine', 'the', 'behavior', 'of', 'tantons', 'candypassing', 'game', 'for', 'all', 'distributions', 'of', 'at', 'least', '3n2', 'candies', 'where', 'n', 'is', 'the', 'number', 'of', 'students', 'specifically', 'we', 'show', 'that', 'the', 'configuration', 'of', 'candy', 'in', 'such', 'a', 'game', 'eventually', 'becomes', 'fixed']] | [-0.13532584966034503, 0.15447477792465203, -0.10920577578095568, 0.04914153482123102, -0.0003309891625257159, -0.170666995118498, 0.052647460384193705, 0.3421785830444581, -0.23414406060820092, -0.32335218941050303, 0.07459923673760951, -0.333103023066714, -0.15020587623144524, 0.07647685767025561, -0.05714064988785902, -0.020867608940681896, 0.03370491044621009, 0.13591229611051245, 0.03894542727141163, -0.29873119764394956, 0.35174566827009657, -0.017655184593152354, 0.174983304698725, 0.02799089499623389, 0.11073556799139525, 0.05305568701461763, 0.049192303653202346, 0.06835684260806522, -0.1329266165229382, 0.0033558620316152636, 0.26412698086602865, 0.18589971818633982, 0.3582984426411221, -0.38092843347505945, -0.09452133210426247, 0.15556994158573248, 0.13454320301880707, 0.10450468713895895, 0.01049669853071808, -0.14877052026221882, 0.17284958907780615, -0.1563263189903385, -0.12147682072041002, 0.015842734508820483, 0.05788511591585907, 0.026754689484683646, -0.32856350915657506, -0.07327531610389014, 0.04070509189890849, 0.08037586359156144, -0.00017698247904411038, -0.17160834913217538, -0.019148579987420422, 0.19115513595878272, -0.0018461240216384868, -0.016071274788496463, 0.05932656829119534, -0.1916648721624468, -0.09811657493795596, 0.3530514601718735, -0.04203819964282416, -0.14422016726756418, 0.1420067126384458, -0.19615091122938572, -0.17297834988582778, 0.08566297117520023, 0.1528192749246955, 0.1688136317314127, -0.055910560453461634, 0.08008271939045675, -0.10525067377130727, 0.15921534638147097, 0.08130685033629069, -0.011602321778096863, 0.12794378952349764, 0.18112351252017794, 0.15114839739996838, 0.1373343554300231, -0.052567904336831055, -0.10681926384819923, -0.3177183310727815, -0.20274541084025358, -0.18035122712230864, 0.058722552226705325, -0.09833007216503895, -0.15878640719362208, 0.3599468352826866, 0.14762271515949554, 0.1924552677727833, 0.11789420886418304, 0.21411335790479505, 0.09081925733669384, -0.01372973807156086, 0.13493531203602213, 0.15870460877950127, 0.04221683700342436, 0.03667295107466949, -0.20918077553899303, 0.05439401007685307, 0.03797311980176617] |
709.2157 | Spontaneous Transverse Response and Amplified Switching in
Superconductors with Honeycomb Pinning Arrays | Using numerical simulations, we show that a novel spontaneous transverse
response can appear when a longitudinal drive is applied to type-II
superconductors with honeycomb pinning arrays in a magnetic field near certain
filling fractions. This response is generated by dynamical symmetry breaking
that occurs at fields away from commensurability. We find a coherent strongly
amplified transverse switching effect when an additional transverse ac current
is applied. The transverse ac drive can also be used to control switching in
the longitudinal velocity response. We discuss how these effects could be used
to create new types of devices such as current effect transistors.
| cond-mat.supr-con | using numerical simulations we show that a novel spontaneous transverse response can appear when a longitudinal drive is applied to typeii superconductors with honeycomb pinning arrays in a magnetic field near certain filling fractions this response is generated by dynamical symmetry breaking that occurs at fields away from commensurability we find a coherent strongly amplified transverse switching effect when an additional transverse ac current is applied the transverse ac drive can also be used to control switching in the longitudinal velocity response we discuss how these effects could be used to create new types of devices such as current effect transistors | [['using', 'numerical', 'simulations', 'we', 'show', 'that', 'a', 'novel', 'spontaneous', 'transverse', 'response', 'can', 'appear', 'when', 'a', 'longitudinal', 'drive', 'is', 'applied', 'to', 'typeii', 'superconductors', 'with', 'honeycomb', 'pinning', 'arrays', 'in', 'a', 'magnetic', 'field', 'near', 'certain', 'filling', 'fractions', 'this', 'response', 'is', 'generated', 'by', 'dynamical', 'symmetry', 'breaking', 'that', 'occurs', 'at', 'fields', 'away', 'from', 'commensurability', 'we', 'find', 'a', 'coherent', 'strongly', 'amplified', 'transverse', 'switching', 'effect', 'when', 'an', 'additional', 'transverse', 'ac', 'current', 'is', 'applied', 'the', 'transverse', 'ac', 'drive', 'can', 'also', 'be', 'used', 'to', 'control', 'switching', 'in', 'the', 'longitudinal', 'velocity', 'response', 'we', 'discuss', 'how', 'these', 'effects', 'could', 'be', 'used', 'to', 'create', 'new', 'types', 'of', 'devices', 'such', 'as', 'current', 'effect', 'transistors']] | [-0.2012648144644676, 0.2632976624399186, -0.045860794442014234, 0.05147088327592626, -0.11994644625130857, -0.13312904035677156, 0.01390870986045292, 0.431748296217163, -0.30312512918274004, -0.2520068864716162, 0.0617579876256203, -0.2303383937520482, -0.1599177757397958, 0.2430959516527629, -0.003231284107164581, -0.016452895235938785, -0.02821740387168962, -0.02016803288906075, -0.04939999994314691, -0.18774250385323815, 0.24201808377897532, -0.024537102042669706, 0.37088945749593843, 0.05708425774672391, 0.043085167730817255, 0.007312553713448567, 0.09704872058003698, 0.12213974094968105, -0.1111375514683279, 0.00676589618934927, 0.22505371097595164, -0.06296509916151846, 0.2279581436610753, -0.4559849800707975, -0.19422248769367095, 0.06079976104365865, 0.1593393892661258, 0.20229379982182683, -0.08986016746960801, -0.26144756599891894, 0.08247750658209961, -0.15892374950765384, -0.14443600712338864, -0.1099511582939194, -0.02912228802417285, 0.047220485704480716, -0.30643921954059367, 0.08232552732662575, 0.02955369954199143, 0.09480003276747642, -0.039753774611658584, -0.05078833735326656, -0.06382290479302923, 0.06323038673173581, 0.05767386574713089, 0.06789121040521134, 0.22005713901293492, -0.14978392505879964, -0.17157638095097966, 0.3378439680258236, -0.0758176733783474, -0.20065102967811693, 0.15259709014409767, -0.17239476531504258, -0.06895562107813093, 0.1480101900876011, 0.243759237773864, 0.05405084736239497, -0.12180274987154142, 0.005847775228644288, 0.013738240631721398, 0.16826894448719698, 0.048342397754624636, 0.028778490260022112, 0.29460542197200923, 0.15541276156828546, 0.04982627039812136, 0.2038056817214641, -0.14808402495864448, -0.02145949393824333, -0.2795549810317686, -0.06904096696710232, -0.1393680824197386, 0.13634150876838824, 0.000926045215363605, -0.14321158834628467, 0.4168093755546183, 0.20489730928649338, 0.17076673246182428, -0.05603500067413148, 0.2884352557997376, 0.18125733675891625, 0.13511504351834555, 0.04212667755690394, 0.26006019381013246, 0.13495369803501606, 0.11260368494895555, -0.2900741104921787, 0.03194176398694866, -0.026220920643225166] |
709.2158 | Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality | We propose gauge theory operators built using a complex Matrix scalar which
are dual to brane-anti-brane systems in $AdS_5 \times S^5 $, in the zero
coupling limit of the dual Yang-Mills. The branes involved are half-BPS giant
gravitons. The proposed operators dual to giant-anti-giant configurations
satisfy the appropriate orthogonality properties. Projection operators in
Brauer algebras are used to construct the relevant multi-trace Matrix
operators. These are related to the ``coupled representations'' which appear in
2D Yang-Mills theory. We discuss the implications of these results for the
quantum mechanics of a complex matrix model, the counting of non-supersymmetric
operators and the physics of brane-anti-brane systems. The stringy exclusion
principle known from the properties of half-BPS giant gravitons, has a new
incarnation in this context. It involves a qualitative change in the map
between brane-anti-brane states to gauge theory operators. In the case of a
pair of sphere giant and anti-giant this change occurs when the sum of the
magnitudes of their angular momenta reaches $N$.
| hep-th math.RT | we propose gauge theory operators built using a complex matrix scalar which are dual to braneantibrane systems in ads_5 times s5 in the zero coupling limit of the dual yangmills the branes involved are halfbps giant gravitons the proposed operators dual to giantantigiant configurations satisfy the appropriate orthogonality properties projection operators in brauer algebras are used to construct the relevant multitrace matrix operators these are related to the coupled representations which appear in 2d yangmills theory we discuss the implications of these results for the quantum mechanics of a complex matrix model the counting of nonsupersymmetric operators and the physics of braneantibrane systems the stringy exclusion principle known from the properties of halfbps giant gravitons has a new incarnation in this context it involves a qualitative change in the map between braneantibrane states to gauge theory operators in the case of a pair of sphere giant and antigiant this change occurs when the sum of the magnitudes of their angular momenta reaches n | [['we', 'propose', 'gauge', 'theory', 'operators', 'built', 'using', 'a', 'complex', 'matrix', 'scalar', 'which', 'are', 'dual', 'to', 'braneantibrane', 'systems', 'in', 'ads_5', 'times', 's5', 'in', 'the', 'zero', 'coupling', 'limit', 'of', 'the', 'dual', 'yangmills', 'the', 'branes', 'involved', 'are', 'halfbps', 'giant', 'gravitons', 'the', 'proposed', 'operators', 'dual', 'to', 'giantantigiant', 'configurations', 'satisfy', 'the', 'appropriate', 'orthogonality', 'properties', 'projection', 'operators', 'in', 'brauer', 'algebras', 'are', 'used', 'to', 'construct', 'the', 'relevant', 'multitrace', 'matrix', 'operators', 'these', 'are', 'related', 'to', 'the', 'coupled', 'representations', 'which', 'appear', 'in', '2d', 'yangmills', 'theory', 'we', 'discuss', 'the', 'implications', 'of', 'these', 'results', 'for', 'the', 'quantum', 'mechanics', 'of', 'a', 'complex', 'matrix', 'model', 'the', 'counting', 'of', 'nonsupersymmetric', 'operators', 'and', 'the', 'physics', 'of', 'braneantibrane', 'systems', 'the', 'stringy', 'exclusion', 'principle', 'known', 'from', 'the', 'properties', 'of', 'halfbps', 'giant', 'gravitons', 'has', 'a', 'new', 'incarnation', 'in', 'this', 'context', 'it', 'involves', 'a', 'qualitative', 'change', 'in', 'the', 'map', 'between', 'braneantibrane', 'states', 'to', 'gauge', 'theory', 'operators', 'in', 'the', 'case', 'of', 'a', 'pair', 'of', 'sphere', 'giant', 'and', 'antigiant', 'this', 'change', 'occurs', 'when', 'the', 'sum', 'of', 'the', 'magnitudes', 'of', 'their', 'angular', 'momenta', 'reaches', 'n']] | [-0.14384416866503794, 0.17939963949821103, -0.07470298506267462, 0.1144457786960053, -0.06364451325498521, -0.10719196697673905, -0.016331105950716535, 0.28706721939227503, -0.19870416774929311, -0.23113719931578044, 0.08122995709826858, -0.287994376187045, -0.18024354304696047, 0.10659900044021631, -0.053609440158127075, 0.04638382743014405, 0.025917566230994945, 0.06142668136516991, -0.14361085064177, -0.24345442395287087, 0.35839345478828744, -0.02514636042738993, 0.2713736201179509, 0.04086944237004341, 0.10587013380382188, 0.018804823350658792, 0.003923906638107685, -0.03791509921118756, -0.09750369609107976, 0.1440516270386917, 0.2588189149236376, 0.08880600607693657, 0.1412049484097902, -0.4578503941978264, -0.15716105167354857, 0.1278411103072663, 0.15629484597882776, 0.10692428982301806, 0.01660824034605985, -0.29372456964678045, 0.029496234416475763, -0.17261582125348518, -0.1851757549903477, -0.06658927639960803, 0.0044117131988483235, -0.0596719442965081, -0.26020922473637587, 0.06498114987687202, 0.026223961081679747, 0.013843142936549943, -0.042279503461528825, -0.09295767014672668, -0.06729958206415176, 0.09687641013058637, 0.07108834521159507, -0.0012621862628722784, 0.13767688540360018, -0.15992892531226882, -0.15018826568721916, 0.3457503497964986, -0.0520505436959312, -0.23432569635557646, 0.1702280603869824, -0.15715464885398653, -0.16542578246936157, 0.07540327180408357, 0.13731878295595765, 0.1730209261364078, -0.13456347964240184, 0.19516063159294078, -0.04180647781254689, 0.07070447255565165, 0.08433183680016616, 0.11257879461757607, 0.26311062928289175, 0.09717276268812208, 0.03293026361024435, 0.16297184577738139, -0.005571391576646555, -0.14951146773484922, -0.38734400069907954, -0.1350819839118338, -0.12446602215261562, 0.09149832822822081, -0.13883608541728332, -0.18766720520667962, 0.38429944848884706, 0.1160346107869785, 0.20642918714189104, 0.0259744392415821, 0.18084019490789552, 0.1446708378798519, 0.12341717029458942, 0.017743261415303125, 0.2463115180035625, 0.22232892392608133, 0.10011472477814796, -0.24125777589669162, -0.11177189910808949, 0.194328810527967] |
709.2159 | On the application of the Critical Minimum Energy Subspace method to
disordered systems | We discuss the recent application to strongly disordered systems of the
Critical Minimum Energy Subspace (CMES) method, used to limit the energy
subspace of the Wang-Landau sampling. We compare with our results on the 3D
Random Field Ising Model obtained by a multi-range Wang-Landau simulation in
the whole energy range. We point out at some problems that may arise when
applying the CMES scheme to models having a complex free energy landscape. PACS
numbers: 02.70.Tt,02.70.Rr,05.50.+q, 64.60.Cn, 64.60.Fr, 75.10.Hk
| cond-mat.stat-mech cond-mat.dis-nn | we discuss the recent application to strongly disordered systems of the critical minimum energy subspace cmes method used to limit the energy subspace of the wanglandau sampling we compare with our results on the 3d random field ising model obtained by a multirange wanglandau simulation in the whole energy range we point out at some problems that may arise when applying the cmes scheme to models having a complex free energy landscape pacs numbers 0270tt0270rr0550q 6460cn 6460fr 7510hk | [['we', 'discuss', 'the', 'recent', 'application', 'to', 'strongly', 'disordered', 'systems', 'of', 'the', 'critical', 'minimum', 'energy', 'subspace', 'cmes', 'method', 'used', 'to', 'limit', 'the', 'energy', 'subspace', 'of', 'the', 'wanglandau', 'sampling', 'we', 'compare', 'with', 'our', 'results', 'on', 'the', '3d', 'random', 'field', 'ising', 'model', 'obtained', 'by', 'a', 'multirange', 'wanglandau', 'simulation', 'in', 'the', 'whole', 'energy', 'range', 'we', 'point', 'out', 'at', 'some', 'problems', 'that', 'may', 'arise', 'when', 'applying', 'the', 'cmes', 'scheme', 'to', 'models', 'having', 'a', 'complex', 'free', 'energy', 'landscape', 'pacs', 'numbers', '0270tt0270rr0550q', '6460cn', '6460fr', '7510hk']] | [-0.10842894843301258, 0.1424358128507093, -0.05603267694508808, 0.11235455856532664, -0.014681832846002402, -0.0907699454802315, 0.07046460773091058, 0.3987611179409951, -0.26152027171809933, -0.3095848597712009, 0.07672825086754873, -0.24849938900788893, -0.1249329073958703, 0.22476669399357224, -0.02286955663254736, 0.08423061202267638, 0.10802128468640149, -0.033851882121903265, -0.09021523945675408, -0.25168943649308906, 0.310058294808039, 0.09724117447999683, 0.2772910830036208, -0.0032450949735436086, 0.10674314107745886, 0.02202770869700691, 0.04143978383807415, 0.04219525071439912, -0.19092382341231978, 0.09591283788589912, 0.2129581402505947, 0.07630161275910968, 0.2667983665030349, -0.37827395270201, -0.2795301611359055, 0.13846513538344488, 0.14321836650472236, 0.11944967178577506, -0.02419251768151298, -0.2733856057999907, 0.10149554954212461, -0.13191286118613002, -0.12618388105309694, -0.06970306442786209, -0.08805411674453549, 0.06491448386647813, -0.24602013910692688, 0.07199238659184728, -0.029204683557681337, 0.047153053666792205, -0.08970656476889712, -0.12460283079260104, -0.027723542971511347, 0.06950771851611412, 0.04874763804380908, 0.0684291068275736, 0.16894022831567437, -0.1069299687971235, -0.12377977552603477, 0.3664493596030248, 0.003908539159424804, -0.18667038243163275, 0.2292902586018868, -0.1245356118117736, -0.15083889519116161, 0.15268775653345762, 0.15289440815890762, 0.0843504995101358, -0.08388705765360469, 0.10963972263050743, -0.020481791369289765, 0.12056770603797033, -0.028250549617852713, -0.026920152456826857, 0.1780563687504115, 0.13629332261877386, 0.07698020462978732, 0.16475059632904124, -0.14311481622123234, -0.16622948315548333, -0.2584757877362741, -0.11420906665483238, -0.24024511588032585, 0.036348151074521044, -0.12303552498436861, -0.16980086511152015, 0.423370009198668, 0.22166461705991597, 0.1938961770108624, 0.050664730933243154, 0.2702206756818939, 0.12839739885955193, 0.0257993664063916, 0.09178219037130475, 0.19107510702805658, 0.11960228114401468, 0.13359706583307, -0.18497402331716306, -0.06897949508699663, 0.1221971340490052] |
709.216 | High-spin binary black hole mergers | We study identical mass black hole binaries with spins perpendicular to the
binary's orbital plane. These binaries have individual spins ranging from
$s/m^2=-0.90$ to 0.90, ($s_1 = s_2$ in all cases) which is near the limit
possible with standard Bowen-York puncture initial data. The extreme cases
correspond to the largest initial spin simulations to date. Our results expand
the parameter space covered by Rezzolla {\it et al.} and, when combining both
data sets, we obtain estimations for the minimum and maximum values for the
intrinsic angular momenta of the remnant of binary black hole mergers of
$J/M^2=0.341 \pm 0.004$ and $0.951 \pm 0.004$ respectively. Note, however, that
these values are reached through extrapolation to the singular cases $|s_1| =
|s_2| = 1$ and thus remain as {\it estimates} until full-fledged numerical
simulations provide confirmation.
| gr-qc | we study identical mass black hole binaries with spins perpendicular to the binarys orbital plane these binaries have individual spins ranging from sm2090 to 090 s_1 s_2 in all cases which is near the limit possible with standard bowenyork puncture initial data the extreme cases correspond to the largest initial spin simulations to date our results expand the parameter space covered by rezzolla it et al and when combining both data sets we obtain estimations for the minimum and maximum values for the intrinsic angular momenta of the remnant of binary black hole mergers of jm20341 pm 0004 and 0951 pm 0004 respectively note however that these values are reached through extrapolation to the singular cases s_1 s_2 1 and thus remain as it estimates until fullfledged numerical simulations provide confirmation | [['we', 'study', 'identical', 'mass', 'black', 'hole', 'binaries', 'with', 'spins', 'perpendicular', 'to', 'the', 'binarys', 'orbital', 'plane', 'these', 'binaries', 'have', 'individual', 'spins', 'ranging', 'from', 'sm2090', 'to', '090', 's_1', 's_2', 'in', 'all', 'cases', 'which', 'is', 'near', 'the', 'limit', 'possible', 'with', 'standard', 'bowenyork', 'puncture', 'initial', 'data', 'the', 'extreme', 'cases', 'correspond', 'to', 'the', 'largest', 'initial', 'spin', 'simulations', 'to', 'date', 'our', 'results', 'expand', 'the', 'parameter', 'space', 'covered', 'by', 'rezzolla', 'it', 'et', 'al', 'and', 'when', 'combining', 'both', 'data', 'sets', 'we', 'obtain', 'estimations', 'for', 'the', 'minimum', 'and', 'maximum', 'values', 'for', 'the', 'intrinsic', 'angular', 'momenta', 'of', 'the', 'remnant', 'of', 'binary', 'black', 'hole', 'mergers', 'of', 'jm20341', 'pm', '0004', 'and', '0951', 'pm', '0004', 'respectively', 'note', 'however', 'that', 'these', 'values', 'are', 'reached', 'through', 'extrapolation', 'to', 'the', 'singular', 'cases', 's_1', 's_2', '1', 'and', 'thus', 'remain', 'as', 'it', 'estimates', 'until', 'fullfledged', 'numerical', 'simulations', 'provide', 'confirmation']] | [-0.1136454549769676, 0.13374836041498206, -0.014440195079055406, 0.06680532991831992, -0.042220786466108016, -0.10845894718817038, 0.0543897019648679, 0.3607893733979138, -0.17765234697740093, -0.3606346012237518, 0.12498469155032707, -0.3506601451166956, -0.00013445845494667688, 0.24558705020724803, -0.02169921095013734, 0.04259509163132107, 0.10910338847789654, -0.030182987842988583, -0.1342758524413004, -0.25079036306575403, 0.2849422891282697, 0.03940001280270806, 0.17435570526868105, -0.032468236004572736, 0.0889451337261703, 0.01698051735960929, 0.02203421198669099, -0.024123180135039415, -0.23833745618581154, 0.030360112150827814, 0.2263095227842645, 0.0892207331986116, 0.17055548357058953, -0.3376081687300791, -0.14741555461660028, 0.08969240484022817, 0.17073517078948894, 0.10006279614844266, -0.00442187122769596, -0.2358983850689576, 0.11305776675540391, -0.1997157346309242, -0.15722987245833284, -0.04798736269477495, 0.0988938260404754, 0.01091151496002003, -0.27580629958402975, 0.1472710035290107, 0.04399691723005543, -0.023624934667591437, -0.10117100131185364, -0.16550764231401127, -0.09941912836452961, 0.09490014995243437, 0.11917654786424986, 0.11254464471965393, 0.11695223638080349, -0.03369766679527455, -0.09261996136768902, 0.339527257391461, 0.012232339619694985, -0.14619560689889183, 0.17212621674894593, -0.21309993312831305, -0.12289075110136538, 0.1139625610364962, 0.1362227692932988, 0.15549776890827705, -0.10308530406050416, 0.05505125065218629, 0.0027325421629488004, 0.17656199963467353, 0.09911086438417745, 0.05176131712460472, 0.334505574864357, 0.07043058538715564, 0.014670972960510169, 0.06726701031511202, -0.13818364597264995, -0.08486777483106613, -0.27055303742675935, -0.07680030964141668, -0.17921165084329166, 0.10603728505075266, -0.1702279573691785, -0.10957054066825514, 0.299035207473117, 0.15979547614534928, 0.22959769347523765, 0.05268750232987308, 0.246106124724904, 0.07465602130838489, 0.02186956366184781, 0.11477028280352206, 0.3043460925939933, 0.157244165603057, 0.05631084175953685, -0.2140963715591374, 0.0004618464745292368, 0.01099037358089704] |
709.2161 | Hyperbolic Unit Groups and Quaternion Algebras | We Classify the rational quadratic extensions K and the finite groups G for
which the group ring R[G] of G over the ring R of integers of K has the
property that the group of units of augmentation 1 of R[G] is hyperbolic. We
also construct units in a non-split quaternion algebra over R.
| math.RA math.GR | we classify the rational quadratic extensions k and the finite groups g for which the group ring rg of g over the ring r of integers of k has the property that the group of units of augmentation 1 of rg is hyperbolic we also construct units in a nonsplit quaternion algebra over r | [['we', 'classify', 'the', 'rational', 'quadratic', 'extensions', 'k', 'and', 'the', 'finite', 'groups', 'g', 'for', 'which', 'the', 'group', 'ring', 'rg', 'of', 'g', 'over', 'the', 'ring', 'r', 'of', 'integers', 'of', 'k', 'has', 'the', 'property', 'that', 'the', 'group', 'of', 'units', 'of', 'augmentation', '1', 'of', 'rg', 'is', 'hyperbolic', 'we', 'also', 'construct', 'units', 'in', 'a', 'nonsplit', 'quaternion', 'algebra', 'over', 'r']] | [-0.2750326670292351, 0.05514913423124839, -0.13339412212371826, -0.06539587671997854, -0.10209093994840428, -0.14632699520465126, -0.01575480922366734, 0.3716933588600821, -0.37724915326193525, -0.20087739328543344, 0.07947912993970224, -0.26128438653217423, -0.1172019691309995, 0.17483274050539843, -0.06205038527992589, -0.09815609398194486, -0.03322667283592401, 0.20164148323237896, -0.12316852326384159, -0.33108964893552995, 0.32798752968234046, -0.039081282241062984, 0.13308267909343596, -0.02751858497935313, 0.1277115167360063, 0.010437532246147317, -0.03751167586004293, 0.021292058319819195, -0.15014789129795478, 0.10265064741785561, 0.3237748931127566, 0.03510675626737928, 0.2511344549065042, -0.33035909246515344, -0.1778695227371322, 0.2320351554253311, 0.15529075299424153, -0.05589224632044702, -0.0035508802264100974, -0.1925056813439975, 0.208040189681385, -0.243590056758236, -0.10166827420255652, -0.02528574474638811, 0.16684225194061314, 0.002783498882005612, -0.26499298470163785, -0.01486984202778398, 0.08213738966043349, 0.20202052586332517, -0.0030111730685112655, -0.11677409668832466, -0.0344750611456456, 0.07759019302169758, -0.02331864870481055, 0.008955000399577397, 0.11396997293491883, -0.0666073430588262, -0.08573075553997317, 0.3920192128668229, -0.10357918642047378, -0.14598126074782125, 0.09890350134594848, -0.17024805077731056, -0.15050132579549594, 0.1139299763125126, 0.1100989608956432, 0.15269103870485667, 0.002859072863227791, 0.2605063400168782, -0.21376455188901336, 0.08211338114321094, 0.036254746201275674, -0.04937697623649405, 0.11946281087067392, 0.03993345220159325, 0.0970859103329497, 0.10830072713670907, 0.008422778755495394, 0.04118253173375571, -0.37096717337974244, -0.20745326839042483, -0.13027308003425045, 0.09868798300373817, -0.16308037962530594, -0.13027495311797355, 0.46643688805677275, 0.08702936182143511, 0.14547629573347945, 0.12040617988074061, 0.16895753772998298, 0.041322188940183774, 0.17071452345354138, 0.10561132035218179, 0.037830809200251544, 0.2408295757378693, -0.10524494534237655, -0.21662935256716553, -0.1314635082423963, 0.16073671899115047] |
709.2162 | Closed-String Tachyon Condensation and the Worldsheet Super-Higgs Effect | Alternative gauge choices for worldsheet supersymmetry can elucidate
dynamical phenomena obscured in the usual superconformal gauge. In the
particular example of the tachyonic $E_8$ heterotic string, we use a judicious
gauge choice to show that the process of closed-string tachyon condensation can
be understood in terms of a worldsheet super-Higgs effect. The worldsheet
gravitino assimilates the goldstino and becomes a dynamical propagating field.
Conformal, but not superconformal, invariance is maintained throughout.
| hep-th | alternative gauge choices for worldsheet supersymmetry can elucidate dynamical phenomena obscured in the usual superconformal gauge in the particular example of the tachyonic e_8 heterotic string we use a judicious gauge choice to show that the process of closedstring tachyon condensation can be understood in terms of a worldsheet superhiggs effect the worldsheet gravitino assimilates the goldstino and becomes a dynamical propagating field conformal but not superconformal invariance is maintained throughout | [['alternative', 'gauge', 'choices', 'for', 'worldsheet', 'supersymmetry', 'can', 'elucidate', 'dynamical', 'phenomena', 'obscured', 'in', 'the', 'usual', 'superconformal', 'gauge', 'in', 'the', 'particular', 'example', 'of', 'the', 'tachyonic', 'e_8', 'heterotic', 'string', 'we', 'use', 'a', 'judicious', 'gauge', 'choice', 'to', 'show', 'that', 'the', 'process', 'of', 'closedstring', 'tachyon', 'condensation', 'can', 'be', 'understood', 'in', 'terms', 'of', 'a', 'worldsheet', 'superhiggs', 'effect', 'the', 'worldsheet', 'gravitino', 'assimilates', 'the', 'goldstino', 'and', 'becomes', 'a', 'dynamical', 'propagating', 'field', 'conformal', 'but', 'not', 'superconformal', 'invariance', 'is', 'maintained', 'throughout']] | [-0.1672700786058017, 0.2947708402734092, -0.09883331975729114, 0.1908643558666958, -0.18438477675155016, -0.17214239055199, -0.036752865898986936, 0.3422151452428858, -0.18667643126362646, -0.21115816467192391, 0.05836681994891555, -0.18752457006690157, -0.2055568412392282, 0.03645086245739203, -0.07974337559508186, -0.0008059030293788708, -0.04003997695383052, 0.037245905918764394, -0.10677371479400342, -0.30114158040935723, 0.31630685200429404, 0.0010472876839602077, 0.27594323195418685, 0.07225933064982085, 0.1147592574567862, 0.004470356333423668, 0.01725665679280187, -0.0755723209946718, -0.07877511547234411, 0.0534092858105793, 0.2578683253377676, 0.062031600152102996, 0.0835493499557422, -0.43844877338220534, -0.2681980856471288, 0.09557176197708493, 0.2867668891378062, 0.1975935369592265, -0.007533123346150551, -0.2713448945170557, 0.015395834897710403, -0.1582907594045178, -0.18775855998908708, -0.09568458716844169, -0.04300369768777311, -0.21558861814859048, -0.25407563644448217, 0.07353388924728817, -0.025991732560419544, 0.09039235071764445, -0.02556662031606784, 0.002225652822411396, -0.1409993991780449, -0.0012461389087035622, 0.21978212739168798, 0.06792748360697862, 0.23194183089809728, -0.2870452276719603, -0.14097076291087227, 0.399766977351736, -0.06961496322232127, -0.24779356890817134, 0.10648929733048443, -0.08171041354432072, -0.2232008510938203, 0.09966136344944612, 0.034958496164287846, 0.15057428767511122, -0.13983100316791408, 0.2759299625463876, -0.034788845840703804, 0.1275395579098291, 0.11989960364315291, 0.06728563589555486, 0.33111929981379024, 0.1147286820940306, 0.020326107235389277, 0.13864578554426438, 0.05515467346659009, -0.13527168018717162, -0.49834279584842667, -0.11597550288498612, -0.08041370229821809, 0.18377041139883402, -0.18034120054868819, -0.16831524353343205, 0.35728762107311, 0.15284171920416476, 0.14457749219018554, 0.04339313065029786, 0.15951299646370848, 0.105045125898446, 0.11282251592935391, -0.000471649071673902, 0.26720338674019495, 0.13287286612559374, 0.07678784977506951, -0.3137023504233171, -0.18028636257701985, 0.1826038893712291] |
709.2163 | Neutrino Oscillation Observables from Mass Matrix Structure | We present a systematic procedure to establish a connection between complex
neutrino mass matrix textures and experimental observables, including the Dirac
CP phase. In addition, we illustrate how future experimental measurements
affect the selection of textures in the (theta_13,delta_CP)-plane. For the
mixing angles, we use generic assumptions motivated by quark-lepton
complementarity. We allow for any combination between U_l and U_nu, as well as
we average over all present complex phases. We find that individual textures
lead to very different distributions of the observables, such as to large or
small leptonic CP violation. In addition, we find that the extended
quark-lepton complementarity approach motivates future precision measurements
of delta_CP at the level of theta_C \simeq 11 degrees.
| hep-ph | we present a systematic procedure to establish a connection between complex neutrino mass matrix textures and experimental observables including the dirac cp phase in addition we illustrate how future experimental measurements affect the selection of textures in the theta_13delta_cpplane for the mixing angles we use generic assumptions motivated by quarklepton complementarity we allow for any combination between u_l and u_nu as well as we average over all present complex phases we find that individual textures lead to very different distributions of the observables such as to large or small leptonic cp violation in addition we find that the extended quarklepton complementarity approach motivates future precision measurements of delta_cp at the level of theta_c simeq 11 degrees | [['we', 'present', 'a', 'systematic', 'procedure', 'to', 'establish', 'a', 'connection', 'between', 'complex', 'neutrino', 'mass', 'matrix', 'textures', 'and', 'experimental', 'observables', 'including', 'the', 'dirac', 'cp', 'phase', 'in', 'addition', 'we', 'illustrate', 'how', 'future', 'experimental', 'measurements', 'affect', 'the', 'selection', 'of', 'textures', 'in', 'the', 'theta_13delta_cpplane', 'for', 'the', 'mixing', 'angles', 'we', 'use', 'generic', 'assumptions', 'motivated', 'by', 'quarklepton', 'complementarity', 'we', 'allow', 'for', 'any', 'combination', 'between', 'u_l', 'and', 'u_nu', 'as', 'well', 'as', 'we', 'average', 'over', 'all', 'present', 'complex', 'phases', 'we', 'find', 'that', 'individual', 'textures', 'lead', 'to', 'very', 'different', 'distributions', 'of', 'the', 'observables', 'such', 'as', 'to', 'large', 'or', 'small', 'leptonic', 'cp', 'violation', 'in', 'addition', 'we', 'find', 'that', 'the', 'extended', 'quarklepton', 'complementarity', 'approach', 'motivates', 'future', 'precision', 'measurements', 'of', 'delta_cp', 'at', 'the', 'level', 'of', 'theta_c', 'simeq', '11', 'degrees']] | [-0.13252590780156542, 0.19156092432044122, -0.020279613886352466, 0.09763961003931321, -0.07042768287836858, -0.13831768439191838, 0.10611434742788096, 0.36595595518693974, -0.25678832728577694, -0.33935694703427344, 0.07022921896600368, -0.26579312521802345, -0.14839418267466775, 0.14725930992635372, 0.023029886092990635, 0.06623366624116897, 0.05137357915670651, -0.06858096925501267, -0.2005486899379479, -0.14047044919823984, 0.3004117002467746, 0.0303129981190938, 0.22459130191709847, 0.07649141853351309, 0.08838661457816868, 0.004651638327429638, -0.024536519534076037, 0.006436242734122535, -0.12817482321900214, 0.052885750371395895, 0.23026191723006575, 0.14064112074632684, 0.09612494096888796, -0.38874529962954313, -0.13754668170383766, 0.17753985033006123, 0.1155330785813377, 0.1084150701933338, -0.07300984539172571, -0.29126838043979975, 0.05452033769359569, -0.18793819510686696, -0.13720510527896493, -0.15188692685054697, -0.0378967573137387, -0.04202573602290257, -0.33594804847531995, 0.13874645089001758, -0.036834527358777173, 0.03290647685568294, 0.02358270293182653, -0.17683595797532928, 0.011322475048591909, 0.11649548300217999, 0.09950813022644624, -0.04091702429856093, 0.08470096706979624, -0.12044094357862259, -0.12919674382099638, 0.42002122880000137, -0.05980940394346481, -0.21995358680395166, 0.14770231999699837, -0.20163795671276444, -0.1783284084830919, 0.03092133431169002, 0.1827250730489259, 0.0859554855922318, -0.10842197433761928, 0.0706061886937317, -0.08707696078750102, 0.1420169423131839, 0.05069728742313126, 0.07367655559564414, 0.27876120216172673, 0.1852343093684834, 0.107064637578214, 0.04266123527903919, -0.12179514674226875, -0.05140878096344354, -0.37806890490262407, -0.12558345336203827, -0.09135528516287551, 0.056608114901768126, -0.13220248872631876, -0.08002566276118159, 0.4232707564597544, 0.19812284636048033, 0.26622035360854607, 0.04932207244893779, 0.24391420254807758, 0.03047020321448698, 0.05950559168426401, -0.010621873993912468, 0.30087703431996965, 0.1284952808191757, 0.08580934255809078, -0.24038705536690744, 0.059994481811704845, 0.0061378607850359835] |
709.2164 | Extra dimensions, orthopositronium decay, and stellar cooling | In a class of extra dimensional models with a warped metric and a single
brane the photon can be localized on the brane by gravity only. An intriguing
feature of these models is the possibility of the photon escaping into the
extra dimensions. The search for this effect has motivated the present round of
precision orthopositronium decay experiments. We point out that in this
framework a photon in plasma should be metastable. We consider the
astrophysical consequences of this observation, in particular, what it implies
for the plasmon decay rate in globular cluster stars and for the core-collapse
supernova cooling rate. The resulting bounds on the model parameter exceed the
possible reach of orthopositronium experiments by many orders of magnitude.
| hep-ph astro-ph hep-ex hep-th | in a class of extra dimensional models with a warped metric and a single brane the photon can be localized on the brane by gravity only an intriguing feature of these models is the possibility of the photon escaping into the extra dimensions the search for this effect has motivated the present round of precision orthopositronium decay experiments we point out that in this framework a photon in plasma should be metastable we consider the astrophysical consequences of this observation in particular what it implies for the plasmon decay rate in globular cluster stars and for the corecollapse supernova cooling rate the resulting bounds on the model parameter exceed the possible reach of orthopositronium experiments by many orders of magnitude | [['in', 'a', 'class', 'of', 'extra', 'dimensional', 'models', 'with', 'a', 'warped', 'metric', 'and', 'a', 'single', 'brane', 'the', 'photon', 'can', 'be', 'localized', 'on', 'the', 'brane', 'by', 'gravity', 'only', 'an', 'intriguing', 'feature', 'of', 'these', 'models', 'is', 'the', 'possibility', 'of', 'the', 'photon', 'escaping', 'into', 'the', 'extra', 'dimensions', 'the', 'search', 'for', 'this', 'effect', 'has', 'motivated', 'the', 'present', 'round', 'of', 'precision', 'orthopositronium', 'decay', 'experiments', 'we', 'point', 'out', 'that', 'in', 'this', 'framework', 'a', 'photon', 'in', 'plasma', 'should', 'be', 'metastable', 'we', 'consider', 'the', 'astrophysical', 'consequences', 'of', 'this', 'observation', 'in', 'particular', 'what', 'it', 'implies', 'for', 'the', 'plasmon', 'decay', 'rate', 'in', 'globular', 'cluster', 'stars', 'and', 'for', 'the', 'corecollapse', 'supernova', 'cooling', 'rate', 'the', 'resulting', 'bounds', 'on', 'the', 'model', 'parameter', 'exceed', 'the', 'possible', 'reach', 'of', 'orthopositronium', 'experiments', 'by', 'many', 'orders', 'of', 'magnitude']] | [-0.08692313162027858, 0.18014586884831563, -0.05819672373860764, 0.07701288790946516, -0.04410256087624778, -0.10546301361949494, 0.07012505792663433, 0.3357279135069499, -0.21148297322603563, -0.29545074556566153, 0.06797846509434749, -0.2732293444064756, -0.056529296261336036, 0.22048665612237528, -0.002176532777957618, 0.022478878620313482, 0.07510342684884866, 0.040887839269513886, -0.038138398499480294, -0.26554825583201214, 0.3378926243856161, 0.080816321754052, 0.23546247507911175, 0.04973520132092138, 0.08883047356115033, -0.06968779257343462, -0.007208017791466167, -0.009861144877504557, -0.1462192867695194, 0.0843947699914376, 0.19243876173513855, 0.12474928079658033, 0.20830346871322641, -0.41469246218912303, -0.25632660834041116, 0.13790905387916913, 0.1945097233983688, 0.12478716855985113, -0.07439480788889341, -0.2939483783751105, 0.03793161676051871, -0.17601481083935747, -0.12882639402523638, -0.016773091807651023, 0.0045937438068600995, -0.04990407253305117, -0.2529467655966679, 0.08282784882952304, 0.058572527944731216, -0.020006963020811477, -0.06331119402311743, -0.06420434309790532, 0.01277740824734792, 0.04854618428895871, 0.10299721110689765, 0.007617198439159741, 0.13161439135825884, -0.16815420266824124, -0.13392954487741615, 0.3869525779155083, -0.09090745232533663, -0.16628545085162236, 0.1615475191443693, -0.17477827821858227, -0.12855367705536386, 0.13717158619935313, 0.17342395639279856, 0.15139090362548208, -0.12956121963943587, 0.11079062241575836, -0.04333015655477842, 0.16545661140820206, 0.06992763569190477, 0.08161243422734211, 0.27803899319842457, 0.20462273878899093, 0.04302166842729396, 0.14643606608539508, -0.13238704724547765, -0.07359464924132529, -0.3359974784776568, -0.17669147653165662, -0.13371167564182543, 0.08434531337115914, -0.1254545368135344, -0.11812953303160612, 0.3954391392879188, 0.12836770378780785, 0.20100523576256818, -0.028869587664181986, 0.27010510174926217, 0.1139117306486393, 0.08182065066260596, 0.048019523751766734, 0.3330478030218122, 0.07389563504063214, 0.047289063789260885, -0.23718901185784488, 0.029596640772069804, 0.04293090061401017] |
709.2165 | Lighting the Universe with filaments | The first stars in the Universe form when chemically pristine gas heats as it
falls into dark matter potential wells, cools radiatively due to the formation
of molecular hydrogen, and becomes self-gravitating. We demonstrate with
super-computer simulations that their properties depend critically on the
currently unknown nature of the dark matter. If the dark matter particles have
intrinsic velocities that wipe-out small-scale structure, then the first stars
form in filaments with lengths of order the free-streaming scale, which can be
about 10^20m (~3kpc, baryonic masses 10^7 solar masses) for realistic "warm
dark matter" candidates. Fragmentation of the filaments forms stars with a
range of masses which may explain the observed peculiar element abundance
pattern of extremely metal-poor stars, while coalescence of fragments and stars
during the filament's ultimate collapse may seed the super massive black holes
that lurk in the centres of most massive galaxies.
| astro-ph hep-ph hep-th | the first stars in the universe form when chemically pristine gas heats as it falls into dark matter potential wells cools radiatively due to the formation of molecular hydrogen and becomes selfgravitating we demonstrate with supercomputer simulations that their properties depend critically on the currently unknown nature of the dark matter if the dark matter particles have intrinsic velocities that wipeout smallscale structure then the first stars form in filaments with lengths of order the freestreaming scale which can be about 1020m 3kpc baryonic masses 107 solar masses for realistic warm dark matter candidates fragmentation of the filaments forms stars with a range of masses which may explain the observed peculiar element abundance pattern of extremely metalpoor stars while coalescence of fragments and stars during the filaments ultimate collapse may seed the super massive black holes that lurk in the centres of most massive galaxies | [['the', 'first', 'stars', 'in', 'the', 'universe', 'form', 'when', 'chemically', 'pristine', 'gas', 'heats', 'as', 'it', 'falls', 'into', 'dark', 'matter', 'potential', 'wells', 'cools', 'radiatively', 'due', 'to', 'the', 'formation', 'of', 'molecular', 'hydrogen', 'and', 'becomes', 'selfgravitating', 'we', 'demonstrate', 'with', 'supercomputer', 'simulations', 'that', 'their', 'properties', 'depend', 'critically', 'on', 'the', 'currently', 'unknown', 'nature', 'of', 'the', 'dark', 'matter', 'if', 'the', 'dark', 'matter', 'particles', 'have', 'intrinsic', 'velocities', 'that', 'wipeout', 'smallscale', 'structure', 'then', 'the', 'first', 'stars', 'form', 'in', 'filaments', 'with', 'lengths', 'of', 'order', 'the', 'freestreaming', 'scale', 'which', 'can', 'be', 'about', '1020m', '3kpc', 'baryonic', 'masses', '107', 'solar', 'masses', 'for', 'realistic', 'warm', 'dark', 'matter', 'candidates', 'fragmentation', 'of', 'the', 'filaments', 'forms', 'stars', 'with', 'a', 'range', 'of', 'masses', 'which', 'may', 'explain', 'the', 'observed', 'peculiar', 'element', 'abundance', 'pattern', 'of', 'extremely', 'metalpoor', 'stars', 'while', 'coalescence', 'of', 'fragments', 'and', 'stars', 'during', 'the', 'filaments', 'ultimate', 'collapse', 'may', 'seed', 'the', 'super', 'massive', 'black', 'holes', 'that', 'lurk', 'in', 'the', 'centres', 'of', 'most', 'massive', 'galaxies']] | [-0.09729400271718422, 0.23829335130365759, -0.07468050779004036, 0.12206511756341006, -0.09568008604893011, -0.013299557495990703, 0.007842361551291983, 0.332879295983705, -0.16885538543494225, -0.367193080077012, 0.014146367917319054, -0.26841247492180814, 0.0022241799867358703, 0.1450274760738529, 0.0568710714321712, -0.04279999352413519, 0.03649576362222433, -0.01962493312221968, -0.01474250232447581, -0.2832161710774205, 0.336249799971822, 0.061553025342010216, 0.1494685507989649, -0.02346861449969483, 0.03882955961764373, -0.17409289556651794, 0.00895573487344744, -0.06598583393698108, -0.1559785116904973, -0.005142836581016409, 0.1776135261780743, 0.10089469302188733, 0.20074123661354956, -0.4492415129881481, -0.2162780741847859, 0.11543433731582402, 0.25462335035092487, 0.09429627789288823, -0.1399486811550591, -0.27202904335833317, 0.09187044619165104, -0.16638356611004163, -0.175636190561385, 0.026170784859629027, 0.055309303149837875, 0.023385651714313005, -0.19615231118654705, 0.17496602911710868, -0.00443650683837718, -0.07489285429473966, -0.10256048266771892, -0.09857270653712852, -0.08512977451599878, 0.012133095400801314, 0.06243526452815096, -0.012177686768198578, 0.2997608909030156, -0.20190394907419024, 0.015873565158710398, 0.4983318169344345, -0.06679401988211763, -0.018382090079630244, 0.2199577540978147, -0.2123991809945939, -0.17111416509985153, 0.1557082527943341, 0.15831290014601987, 0.12706501167909853, -0.14702920749199433, 0.01939474688519238, -0.03404709603316311, 0.20652103015896062, 0.10394627759554263, 0.07401012696068862, 0.43849779616655976, 0.17443903263594057, -0.007345882869036547, 0.04043850714645895, -0.13507931211738494, -0.09017656555013924, -0.21354754556869637, -0.14146736737597607, -0.11074415691485949, 0.055133941612238516, -0.1356018045786688, -0.1491344227840931, 0.28385065010154686, 0.10124545098475084, 0.21232308395335386, 0.0064989047397955736, 0.3211099409190426, 0.017287514691947607, 0.11793771557798931, 0.13989266689609864, 0.31263720648812837, 0.22844254996242194, 0.07939612784358704, -0.25732515171362924, 0.04583413568164768, -0.02263563295890545] |
709.2166 | Supercritical N = 2 string theory | The N=2 string is examined in dimensions above the critical dimension (D=4)
in a linear dilaton background. We demonstrate that string states in this
background propagate in a single physical time dimension, as opposed to two
such dimensions present when the dilaton gradient vanishes in D=4. We also find
exact solutions describing dynamical dimensional reduction and transitions from
N=2 string theory to bosonic string theory via closed-string tachyon
condensation.
| hep-th | the n2 string is examined in dimensions above the critical dimension d4 in a linear dilaton background we demonstrate that string states in this background propagate in a single physical time dimension as opposed to two such dimensions present when the dilaton gradient vanishes in d4 we also find exact solutions describing dynamical dimensional reduction and transitions from n2 string theory to bosonic string theory via closedstring tachyon condensation | [['the', 'n2', 'string', 'is', 'examined', 'in', 'dimensions', 'above', 'the', 'critical', 'dimension', 'd4', 'in', 'a', 'linear', 'dilaton', 'background', 'we', 'demonstrate', 'that', 'string', 'states', 'in', 'this', 'background', 'propagate', 'in', 'a', 'single', 'physical', 'time', 'dimension', 'as', 'opposed', 'to', 'two', 'such', 'dimensions', 'present', 'when', 'the', 'dilaton', 'gradient', 'vanishes', 'in', 'd4', 'we', 'also', 'find', 'exact', 'solutions', 'describing', 'dynamical', 'dimensional', 'reduction', 'and', 'transitions', 'from', 'n2', 'string', 'theory', 'to', 'bosonic', 'string', 'theory', 'via', 'closedstring', 'tachyon', 'condensation']] | [-0.12709875039054433, 0.22894211311865112, -0.017927064141933468, 0.12454390429311256, -0.004462058426461358, -0.19829403844736246, 0.0060789694645158624, 0.27397521825480287, -0.18737801590907402, -0.22721494047268145, 0.044981506104797016, -0.2898379291367272, -0.19416781109960182, 0.07360439661188402, -0.01631949903389466, 0.04503552706075319, -0.08787148345963679, 0.11982291482685917, -0.09027425824340594, -0.30905919740705384, 0.33206674352666177, -0.02811451958141465, 0.28786784760060086, 0.029538896203925157, 0.08609323674623949, -0.021223014686256647, 0.03861868878880489, 0.03901850138588444, -0.14309525565782888, 0.0525096194857421, 0.2713849307881479, 0.08138145319442602, 0.100447251609918, -0.44715775490023085, -0.2918129562656733, 0.052687924324899264, 0.22707267722411864, 0.2370647522688344, -0.029924853829720963, -0.22074244344148083, 0.04091606700819903, -0.11818941787182205, -0.19082113839955867, -0.09851760073713418, 0.0552015715967054, -0.13946615791191225, -0.23082080612674463, 0.10586565763620404, 0.008257172952416231, 0.04753331247290286, -0.09030453704189563, -0.037058572838271873, -0.054080833890137896, 0.05498336254411539, 0.133469844058129, 0.09184970204596934, 0.11110833422888232, -0.22256803921344978, -0.1591931506721438, 0.328912190337112, -0.12713127828749787, -0.24405501830135135, 0.18822801227856806, -0.12889102070281902, -0.1694215723765555, 0.09083491431859632, 0.11315760166853316, 0.13799387032328092, -0.0920854682970431, 0.2605915138813451, 0.004444390069693327, 0.20937578382807365, 0.1628702885903202, 0.04805097521107266, 0.24102798928979083, 0.11130713318825523, 0.04115844329657114, 0.21024421691570594, -0.018886020515060078, -0.17067800383960854, -0.42441808653698454, -0.11303220567313711, -0.08827878085329481, 0.15275371518741915, -0.17711014330258046, -0.19998291655835035, 0.30336768074851966, 0.1211141402372564, 0.20282579690514915, 0.034518803645303284, 0.2235869079882252, 0.12485002684305706, 0.02540296285102765, 0.10566728364379294, 0.24357398486007814, 0.11576315330044515, 0.09788253092868389, -0.2584130905494364, -0.19232231944097558, 0.19543083464267894] |
709.2167 | The Lifetime of FRIIs in Groups and Clusters: Implications for
Radio-Mode Feedback | We determine the maximum lifetime t_max of 52 FRII radio sources found in 26
central group galaxies from cross correlation of the Berlind SDSS group catalog
with the VLA FIRST survey. Mock catalogs of FRII sources were produced to match
the selection criteria of FIRST and the redshift distribution of our parent
sample, while an analytical model was used to calculate source sizes and
luminosities. The maximum lifetime of FRII sources was then determined via a
comparison of the observed and model projected length distributions. We
estimate the average FRII lifetime is 1.5x10^7 years and the duty cycle is
~8x10^8 years. Degeneracies between t_max and the model parameters: jet power
distribution, axial ratio, energy injection index, and ambient density
introduce at most a factor of two uncertainty in our lifetime estimate. In
addition, we calculate the radio active galactic nuclei (AGN) fraction in
central group galaxies as a function of several group and host galaxy
properties. The lifetime of radio sources recorded here is consistent with the
quasar lifetime, even though these FRIIs have substantially sub-Eddington
accretion. These results suggest a fiducial time frame for energy injection
from AGN in feedback models. If the morphology of a given extended radio source
is set by large-scale environment, while the lifetime is determined by the
details of the accretion physics, this FRII lifetime is relevant for all
extended radio sources.
| astro-ph | we determine the maximum lifetime t_max of 52 frii radio sources found in 26 central group galaxies from cross correlation of the berlind sdss group catalog with the vla first survey mock catalogs of frii sources were produced to match the selection criteria of first and the redshift distribution of our parent sample while an analytical model was used to calculate source sizes and luminosities the maximum lifetime of frii sources was then determined via a comparison of the observed and model projected length distributions we estimate the average frii lifetime is 15x107 years and the duty cycle is 8x108 years degeneracies between t_max and the model parameters jet power distribution axial ratio energy injection index and ambient density introduce at most a factor of two uncertainty in our lifetime estimate in addition we calculate the radio active galactic nuclei agn fraction in central group galaxies as a function of several group and host galaxy properties the lifetime of radio sources recorded here is consistent with the quasar lifetime even though these friis have substantially subeddington accretion these results suggest a fiducial time frame for energy injection from agn in feedback models if the morphology of a given extended radio source is set by largescale environment while the lifetime is determined by the details of the accretion physics this frii lifetime is relevant for all extended radio sources | [['we', 'determine', 'the', 'maximum', 'lifetime', 't_max', 'of', '52', 'frii', 'radio', 'sources', 'found', 'in', '26', 'central', 'group', 'galaxies', 'from', 'cross', 'correlation', 'of', 'the', 'berlind', 'sdss', 'group', 'catalog', 'with', 'the', 'vla', 'first', 'survey', 'mock', 'catalogs', 'of', 'frii', 'sources', 'were', 'produced', 'to', 'match', 'the', 'selection', 'criteria', 'of', 'first', 'and', 'the', 'redshift', 'distribution', 'of', 'our', 'parent', 'sample', 'while', 'an', 'analytical', 'model', 'was', 'used', 'to', 'calculate', 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'lifetime', 'even', 'though', 'these', 'friis', 'have', 'substantially', 'subeddington', 'accretion', 'these', 'results', 'suggest', 'a', 'fiducial', 'time', 'frame', 'for', 'energy', 'injection', 'from', 'agn', 'in', 'feedback', 'models', 'if', 'the', 'morphology', 'of', 'a', 'given', 'extended', 'radio', 'source', 'is', 'set', 'by', 'largescale', 'environment', 'while', 'the', 'lifetime', 'is', 'determined', 'by', 'the', 'details', 'of', 'the', 'accretion', 'physics', 'this', 'frii', 'lifetime', 'is', 'relevant', 'for', 'all', 'extended', 'radio', 'sources']] | [-0.07492588831455418, 0.11093594619179432, -0.048805517900945505, 0.11289609537312859, -0.07093529731214962, -0.04723338517559521, 0.06411188267775926, 0.45277369375291626, -0.15636953954756455, -0.35906387541214363, 0.07164275801379087, -0.2885571071097378, 0.02034884230631992, 0.20934127409137754, 0.010245462140199123, -0.020631464851280805, 0.020353614351111708, -0.05726815674866533, -0.04259796266074103, 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709.2168 | Bright branes for strongly coupled plasmas | We use holographic techniques to study photon production in a class of finite
temperature, strongly coupled, large-Nc SU(Nc) quark-gluon plasmas with Nf <<
Nc quark flavours. Our results are valid to leading order in the
electromagnetic coupling constant but non-perturbatively in the SU(Nc)
interactions. The spectral function of electromagnetic currents and other
related observables exhibit an interesting structure as a function of the
photon frequency and the quark mass. We discuss possible implications for heavy
ion collision experiments.
| hep-th | we use holographic techniques to study photon production in a class of finite temperature strongly coupled largenc sunc quarkgluon plasmas with nf nc quark flavours our results are valid to leading order in the electromagnetic coupling constant but nonperturbatively in the sunc interactions the spectral function of electromagnetic currents and other related observables exhibit an interesting structure as a function of the photon frequency and the quark mass we discuss possible implications for heavy ion collision experiments | [['we', 'use', 'holographic', 'techniques', 'to', 'study', 'photon', 'production', 'in', 'a', 'class', 'of', 'finite', 'temperature', 'strongly', 'coupled', 'largenc', 'sunc', 'quarkgluon', 'plasmas', 'with', 'nf', 'nc', 'quark', 'flavours', 'our', 'results', 'are', 'valid', 'to', 'leading', 'order', 'in', 'the', 'electromagnetic', 'coupling', 'constant', 'but', 'nonperturbatively', 'in', 'the', 'sunc', 'interactions', 'the', 'spectral', 'function', 'of', 'electromagnetic', 'currents', 'and', 'other', 'related', 'observables', 'exhibit', 'an', 'interesting', 'structure', 'as', 'a', 'function', 'of', 'the', 'photon', 'frequency', 'and', 'the', 'quark', 'mass', 'we', 'discuss', 'possible', 'implications', 'for', 'heavy', 'ion', 'collision', 'experiments']] | [-0.11746089457377017, 0.2989990739047893, -0.07236473159274909, 0.10155459147478853, -0.04280377945003958, -0.11881835885684598, 0.02072917557829483, 0.36796536745334213, -0.14229817802159042, -0.23713973703395044, -0.024414295084206023, -0.29556100075314573, -0.04516809469983949, 0.14790510585797684, 0.0757399656773581, 0.09754542182743936, 0.020514429413846562, 0.0492097365899713, -0.08753543056441054, -0.19164851120092555, 0.34280874998635286, 0.026824614891854972, 0.27566862304682854, 0.19196555942490504, 0.06949675817937627, 0.008525914775643063, -0.035230746147277246, 0.009597796801622812, -0.09438075092258294, 0.032665097686861246, 0.2461024532079479, 0.011013963423040393, 0.13304338468444327, -0.3990409420198434, -0.20631615723809832, 0.06828374866783232, 0.13466341764811282, 0.1271236961489761, -0.07840271041329418, -0.21901212924147967, 0.01079183861661654, -0.23983265830857026, -0.19083584600745082, -0.10293480558562781, -0.03598552524995107, 0.012850647341677702, -0.346323422401956, 0.07943265866669645, -0.056014924425051196, -0.016433769549763243, 0.010013759099914655, -0.1304719956083731, -0.009344866230188832, 0.04771927446005987, 0.10267960953876956, 0.07333174250209583, 0.16497450758545817, -0.23645281957994616, -0.1523694942536002, 0.3947261338206855, -0.11071662749496422, -0.18810169563277976, 0.22685629920429223, -0.18443658566949042, -0.14918712047593935, 0.08488726860226749, 0.20198590473828282, 0.14928161383035, -0.1581648647983244, 0.13697474939270887, -0.021248177334956535, 0.16924885221003508, 0.09395809161065558, 0.13297388025305487, 0.24374796491261427, 0.17575175331016493, -0.032565058360190746, 0.11422544450581515, -0.008822467921954858, -0.0742406464951391, -0.36875149677809954, -0.10612517046173672, -0.11027971022556741, 0.059612584118912744, -0.13657577593686882, -0.16126725603765868, 0.39327405393123627, 0.1716503890642485, 0.17159690538590605, -0.01388475489984085, 0.24687719797449453, 0.13928466526694694, 0.054678825979036366, 0.07293934306105623, 0.27456209262645526, 0.24751807919207525, 0.12949949339661118, -0.3283638871175104, -0.10020007713782517, 0.10143366480826752] |
709.2169 | Basins of attraction of a nonlinear nanomechanical resonator | We present an experiment that systematically probes the basins of attraction
of two fixed points of a nonlinear nanomechanical resonator and maps them out
with high resolution. We observe a separatrix which progressively alters shape
for varying drive strength and changes the relative areas of the two basins of
attraction. The observed separatrix is blurred due to ambient fluctuations,
including residual noise in the drive system, which cause uncertainty in the
preparation of an initial state close to the separatrix. We find a good
agreement between the experimentally mapped and theoretically calculated basins
of attraction.
| cond-mat.mes-hall | we present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution we observe a separatrix which progressively alters shape for varying drive strength and changes the relative areas of the two basins of attraction the observed separatrix is blurred due to ambient fluctuations including residual noise in the drive system which cause uncertainty in the preparation of an initial state close to the separatrix we find a good agreement between the experimentally mapped and theoretically calculated basins of attraction | [['we', 'present', 'an', 'experiment', 'that', 'systematically', 'probes', 'the', 'basins', 'of', 'attraction', 'of', 'two', 'fixed', 'points', 'of', 'a', 'nonlinear', 'nanomechanical', 'resonator', 'and', 'maps', 'them', 'out', 'with', 'high', 'resolution', 'we', 'observe', 'a', 'separatrix', 'which', 'progressively', 'alters', 'shape', 'for', 'varying', 'drive', 'strength', 'and', 'changes', 'the', 'relative', 'areas', 'of', 'the', 'two', 'basins', 'of', 'attraction', 'the', 'observed', 'separatrix', 'is', 'blurred', 'due', 'to', 'ambient', 'fluctuations', 'including', 'residual', 'noise', 'in', 'the', 'drive', 'system', 'which', 'cause', 'uncertainty', 'in', 'the', 'preparation', 'of', 'an', 'initial', 'state', 'close', 'to', 'the', 'separatrix', 'we', 'find', 'a', 'good', 'agreement', 'between', 'the', 'experimentally', 'mapped', 'and', 'theoretically', 'calculated', 'basins', 'of', 'attraction']] | [-0.15238170044153537, 0.14306283993432053, -0.10447351771749948, 0.07682054812260168, 0.05372113710710485, -0.10762278262623831, 0.060231635123981456, 0.347335325720671, -0.2820938213875419, -0.28344771132657404, 0.016778566896621334, -0.2917117395781373, -0.13065092504808778, 0.1768136656401973, -0.04004177148331349, 0.026916543173750765, 0.0720730123183641, -0.018944048040889595, -0.06595197743123496, -0.15427384260110558, 0.3084324326121101, 0.05559670679075153, 0.3036727983014364, 0.04553048014640808, 0.12530433281177752, -0.08376410734995979, 0.035454922208660526, 0.04911593895307497, -0.16401616594988522, 0.08570737422537365, 0.2219189206922525, 0.02539724824263861, 0.25636728419677207, -0.4317270250108681, -0.17128177256029295, 0.1335099463105986, 0.14408968906653555, 0.10491182764648999, -0.01492638811469078, -0.3218949224370973, 0.011548284568676823, -0.12621747664371996, -0.16518148706343613, -0.0692374641860002, 0.05905370625152596, 0.046828823078325706, -0.24153218592860196, 0.06262565490936763, 0.05347330024700281, 0.08254414510570074, -0.09218912089341565, -0.04222624322865158, -0.08161609181644101, 0.16179310273084985, 0.03070931788288841, 0.031696488051430174, 0.20113695534926496, -0.14555465684541943, -0.01743508924877173, 0.33078913981781194, -0.04947372556320931, -0.16664108750655462, 0.23481527886745568, -0.1776095884288416, -0.04299629759901252, 0.1876746898492504, 0.14966965956830935, 0.032916787513884056, -0.10043047777021696, 0.016003343044461583, 0.032349938364993586, 0.1936115476719447, 0.11107802344057219, 0.005566909445348612, 0.2527118755406455, 0.15036478044563217, 0.1105302647050274, 0.21136148034742003, -0.16605947857606224, -0.1358905348436613, -0.2597631118309341, -0.08841036753238816, -0.1524137635176119, -0.026517290666111207, -0.10473787346808852, -0.1882392929474774, 0.4209904893644546, 0.15844936443394736, 0.27387565237126854, -0.03634481067818247, 0.25895643491101894, 0.10124408187050568, 0.01349848501972462, 0.03004422552981659, 0.3234347617547763, 0.11835397568188216, 0.07553309984505177, -0.2779321108184951, 0.05632158533768042, -0.002237430401146412] |
709.217 | Physical Degrees of Freedom of the Relativistic Fluid on K\"{a}hler
Manifolds in the Symplectic Projector Approach | The paper has been withdrawn because of a more complete analysis of the
relativistic fluid including the quantization reported in arxiv:0801.3032
[hep-th].
| hep-th | the paper has been withdrawn because of a more complete analysis of the relativistic fluid including the quantization reported in arxiv08013032 hepth | [['the', 'paper', 'has', 'been', 'withdrawn', 'because', 'of', 'a', 'more', 'complete', 'analysis', 'of', 'the', 'relativistic', 'fluid', 'including', 'the', 'quantization', 'reported', 'in', 'arxiv08013032', 'hepth']] | [-0.13134448347236252, 0.01186971707890431, -0.15457907948820365, -0.01901395543522778, -0.08057769875796068, -0.09536364149036151, -0.05865403219857918, 0.2684552885946773, -0.12158301401705969, -0.32374657850180355, 0.04999766065849967, -0.29512378041233334, -0.12946697603911161, 0.1267022646608807, -0.14888071885243767, 0.09962818540987514, 0.028499180273640724, 0.02071871129529817, -0.09085778888159741, -0.25143961706531365, 0.2792192729456084, 0.1530414709732646, 0.2883437353940237, 0.11364123535652955, 0.05618971018564133, -0.014923266556468747, -0.15216877595299766, 0.057483705337203685, -0.13640950651218495, 0.07563873477989719, 0.21272608726507142, 0.023563968228353632, 0.3282800432117212, -0.41801629818621133, -0.30137028722535997, 0.07313352131417819, 0.20509199966632186, 0.199464763736441, -0.10707184509720676, -0.29247220747527625, 0.12176827263707916, -0.2726919378730513, -0.09432540825080304, -0.04596075823619252, 0.10064677290973209, -0.11829665666889577, -0.1183263368549801, 0.08593347602124725, 0.15496746430705702, 0.1336866184802992, -0.05974605679512024, -0.1534983099748691, -0.03368151932954788, 0.07733045281132772, 0.1332344680669762, 0.07019114472149383, 0.02928849815257958, -0.14664189765850702, -0.10051344468125276, 0.4867315888404846, 0.05319992820954039, -0.21333383218873114, 0.10677964169354666, -0.13648215319041074, -0.17261410744062491, 0.14843336971742765, 0.16788165070049996, 0.16066572498086662, -0.23951764014505206, 0.16017557787043707, -0.06147810076141641, 0.11492927301497687, 0.11733977984459627, 0.008979322433116891, 0.16520182664195696, 0.18820740247056597, -0.057658523454197814, 0.17438508126707303, -0.072562369517982, -0.11633168688664834, -0.2812736653501079, -0.1868524710603413, -0.19005053454921358, 0.07728373038116843, 0.08815569581375235, -0.16158738909732728, 0.40757776229154496, 0.1461192039506776, 0.12991166123676867, -0.062493140144007545, 0.2758715298204195, 0.10602784675124678, 0.03734751258577619, 0.049620481252315496, 0.37269703866470427, 0.19236486688965843, 0.17489913496233167, -0.1284246256220199, 0.06204542668447608, 0.09748622610987652] |
709.2171 | Inverse spectral problems on a closed manifold | In this paper we consider two inverse problems on a closed connected
Riemannian manifold $(M,g)$. The first one is a direct analog of the Gel'fand
inverse boundary spectral problem. To formulate it, assume that $M$ is divided
by a hypersurface $\Sigma$ into two components and we know the eigenvalues
$\lambda_j$ of the Laplace operator on $(M,g)$ and also the Cauchy data, on
$\Sigma$, of the corresponding eigenfunctions $\phi_j$, i.e.
$\phi_j|_{\Sigma},\partial_\nu\phi_j|_{\Sigma}$, where $\nu$ is the normal to
$\Sigma$. We prove that these data determine $(M,g)$ uniquely, i.e. up to an
isometry. In the second problem we are given much less data, namely,
$\lambda_j$ and $\phi_j|_{\Sigma}$ only. However, if $\Sigma$ consists of at
least two components, $\Sigma_1, \Sigma_2$, we are still able to determine
$(M,g)$ assuming some conditions on $M$ and $\Sigma$. These conditions are
formulated in terms of the spectra of the manifolds with boundary obtained by
cutting $M$ along $\Sigma_i$, $i=1,2$, and are of a generic nature. We consider
also some other inverse problems on $M$ related to the above with data which is
easier to obtain from measurements than the spectral data described.
| math.AP math.DG | in this paper we consider two inverse problems on a closed connected riemannian manifold mg the first one is a direct analog of the gelfand inverse boundary spectral problem to formulate it assume that m is divided by a hypersurface sigma into two components and we know the eigenvalues lambda_j of the laplace operator on mg and also the cauchy data on sigma of the corresponding eigenfunctions phi_j ie phi_j_sigmapartial_nuphi_j_sigma where nu is the normal to sigma we prove that these data determine mg uniquely ie up to an isometry in the second problem we are given much less data namely lambda_j and phi_j_sigma only however if sigma consists of at least two components sigma_1 sigma_2 we are still able to determine mg assuming some conditions on m and sigma these conditions are formulated in terms of the spectra of the manifolds with boundary obtained by cutting m along sigma_i i12 and are of a generic nature we consider also some other inverse problems on m related to the above with data which is easier to obtain from measurements than the spectral data described | [['in', 'this', 'paper', 'we', 'consider', 'two', 'inverse', 'problems', 'on', 'a', 'closed', 'connected', 'riemannian', 'manifold', 'mg', 'the', 'first', 'one', 'is', 'a', 'direct', 'analog', 'of', 'the', 'gelfand', 'inverse', 'boundary', 'spectral', 'problem', 'to', 'formulate', 'it', 'assume', 'that', 'm', 'is', 'divided', 'by', 'a', 'hypersurface', 'sigma', 'into', 'two', 'components', 'and', 'we', 'know', 'the', 'eigenvalues', 'lambda_j', 'of', 'the', 'laplace', 'operator', 'on', 'mg', 'and', 'also', 'the', 'cauchy', 'data', 'on', 'sigma', 'of', 'the', 'corresponding', 'eigenfunctions', 'phi_j', 'ie', 'phi_j_sigmapartial_nuphi_j_sigma', 'where', 'nu', 'is', 'the', 'normal', 'to', 'sigma', 'we', 'prove', 'that', 'these', 'data', 'determine', 'mg', 'uniquely', 'ie', 'up', 'to', 'an', 'isometry', 'in', 'the', 'second', 'problem', 'we', 'are', 'given', 'much', 'less', 'data', 'namely', 'lambda_j', 'and', 'phi_j_sigma', 'only', 'however', 'if', 'sigma', 'consists', 'of', 'at', 'least', 'two', 'components', 'sigma_1', 'sigma_2', 'we', 'are', 'still', 'able', 'to', 'determine', 'mg', 'assuming', 'some', 'conditions', 'on', 'm', 'and', 'sigma', 'these', 'conditions', 'are', 'formulated', 'in', 'terms', 'of', 'the', 'spectra', 'of', 'the', 'manifolds', 'with', 'boundary', 'obtained', 'by', 'cutting', 'm', 'along', 'sigma_i', 'i12', 'and', 'are', 'of', 'a', 'generic', 'nature', 'we', 'consider', 'also', 'some', 'other', 'inverse', 'problems', 'on', 'm', 'related', 'to', 'the', 'above', 'with', 'data', 'which', 'is', 'easier', 'to', 'obtain', 'from', 'measurements', 'than', 'the', 'spectral', 'data', 'described']] | [-0.1195073745540947, 0.09789429589919554, -0.019441699847108224, 0.07355236221337691, -0.07310110765284153, -0.15818601644567246, -0.01093209106449529, 0.3719434886902141, -0.2730924406262872, -0.2612740624757422, 0.15274845472163429, -0.3207505273499659, -0.10324624566243613, 0.18306857307830438, -0.05007633638368653, 0.012547014923356883, 0.04385106016275381, 0.11494279792020609, -0.1041678723439083, -0.21289867353894246, 0.40368307928892444, -0.0534481512725476, 0.20284484217716073, 0.03885579951603866, 0.0943804088203431, -0.03599904588894448, -0.019828263729053375, 0.03444708974336039, -0.17577093168058508, 0.11808307402911801, 0.24245789562925124, 0.11513675173749677, 0.20146371639630462, -0.40772393513675576, -0.1692435182835702, 0.15546274567944007, 0.13981985434656963, -0.01717122871963471, 0.041066244759489424, -0.25762859212777034, 0.15099561127967068, -0.04006749901224624, -0.117142802140174, 0.0010323845116155489, 0.043412499252583954, -0.029563917260959867, -0.26575517883667577, 0.05966197607423445, 0.08621848754809944, 0.028477706570321552, -0.08075097894070896, -0.16589589565890012, -0.028603500855452085, 0.08437823645443052, 0.029540330192693354, -0.00019212568864471964, 0.06064825133624573, -0.06648661254183645, -0.04676043952989218, 0.38303882466721256, -0.07779174966132844, -0.25919213784080775, 0.14151421258645644, -0.15456804297199206, -0.13616136519831942, 0.09959110906245289, 0.14059809505412416, 0.12793806412226552, -0.13723448850278447, 0.1255668001029155, -0.05771467147604818, 0.14586159287041034, 0.06454049478858136, -0.02832603001721449, 0.1440549639391375, 0.11163976171367691, 0.12763189482635365, 0.11276397195287755, -0.0666102220411131, -0.02888235916987389, -0.34786306872227035, -0.155506578764039, -0.18623823966513706, 0.10955559365594617, -0.08750057801648087, -0.14213716382529218, 0.35437656018964864, 0.07719506916927767, 0.2680684171519805, 0.067734390651362, 0.23736693510007892, 0.15197277457675906, 0.021568257177432815, 0.12149687298409804, 0.16978716324396934, 0.17785254360693456, 0.04365882772829507, -0.20720457850848606, -0.023636597244498823, 0.0679860470258723] |
709.2172 | The influence of metallic particle size on the mechanical properties of
PTFE-Al-W powder composites | The dynamic mechanical properties of reactive materials (e.g., high density
mixtures of polytetraflouroethylene (PTFE), aluminum (Al) and tungsten (W)
powders) can be tailored by changing the morphology of the particles and
porosity. Cold isostatically pressed PTFE-Al-W powder composites with fine
metallic particles and a higher porosity exhibited higher ultimate compressive
strength than less porous composites having equivalent mass ratios with coarse
W particles. The mesoscale force chains between the fine metallic particles are
responsible for this unusual phenomenon. We observed macrocracks below the
critical failure strain for the matrix and a competition between densification
and fracture in some porous samples in dynamic tests.
| cond-mat.soft cond-mat.mtrl-sci | the dynamic mechanical properties of reactive materials eg high density mixtures of polytetraflouroethylene ptfe aluminum al and tungsten w powders can be tailored by changing the morphology of the particles and porosity cold isostatically pressed ptfealw powder composites with fine metallic particles and a higher porosity exhibited higher ultimate compressive strength than less porous composites having equivalent mass ratios with coarse w particles the mesoscale force chains between the fine metallic particles are responsible for this unusual phenomenon we observed macrocracks below the critical failure strain for the matrix and a competition between densification and fracture in some porous samples in dynamic tests | [['the', 'dynamic', 'mechanical', 'properties', 'of', 'reactive', 'materials', 'eg', 'high', 'density', 'mixtures', 'of', 'polytetraflouroethylene', 'ptfe', 'aluminum', 'al', 'and', 'tungsten', 'w', 'powders', 'can', 'be', 'tailored', 'by', 'changing', 'the', 'morphology', 'of', 'the', 'particles', 'and', 'porosity', 'cold', 'isostatically', 'pressed', 'ptfealw', 'powder', 'composites', 'with', 'fine', 'metallic', 'particles', 'and', 'a', 'higher', 'porosity', 'exhibited', 'higher', 'ultimate', 'compressive', 'strength', 'than', 'less', 'porous', 'composites', 'having', 'equivalent', 'mass', 'ratios', 'with', 'coarse', 'w', 'particles', 'the', 'mesoscale', 'force', 'chains', 'between', 'the', 'fine', 'metallic', 'particles', 'are', 'responsible', 'for', 'this', 'unusual', 'phenomenon', 'we', 'observed', 'macrocracks', 'below', 'the', 'critical', 'failure', 'strain', 'for', 'the', 'matrix', 'and', 'a', 'competition', 'between', 'densification', 'and', 'fracture', 'in', 'some', 'porous', 'samples', 'in', 'dynamic', 'tests']] | [-0.056327992469293646, 0.3104989629012353, -0.030328899349943542, -0.026527030242487124, -0.008488469356025504, -0.1747047528901165, 0.03366281900849968, 0.4334384358423476, -0.250619533978919, -0.33583516067373426, 0.026758574172946633, -0.2823997938101835, -0.09643688761066682, 0.09546953098534948, 1.1925198285296413e-05, 0.09106841830419732, -0.0058949316602827295, -0.1298186766666056, -0.07153936829256576, -0.16626595312644182, 0.2283007524409654, 0.08755146315330548, 0.3320171446493356, 0.07230333990122348, 0.07031861523000321, -0.027183280358699585, 0.06899093260001944, 0.08545620616532328, -0.18054674543661647, 0.07886842077155368, 0.21367950234008898, -0.08381913293860545, 0.18544368082565246, -0.4670728698262189, -0.24110607080862367, 0.06606734121716258, 0.08645486606484956, 0.04352542843743421, -0.04767641930790194, -0.23888335655452592, 0.08406260931440214, -0.10732607382100702, -0.13467323133666623, -0.017712100549591797, 0.028892602305859327, 0.0718313717550718, -0.23982818343556753, 0.12651714816744816, 0.05239883331711044, 0.09921997551354442, -0.10551564081452124, -0.17217071651305893, -0.08061548954078762, 0.02540487230358885, 0.03477855869522779, -0.07760845127487832, 0.29546958236208204, -0.15342642037465357, -8.980565390890777e-05, 0.4269040773189304, -0.025985933117721793, -0.12606139340951444, 0.25410784295031635, -0.13058152079460036, -0.0667429344110781, 0.239115481417036, 0.16813712983074053, 0.0643764730141784, -0.1320089485754471, -0.025577081813440095, -0.011527033722129567, 0.20947983306325454, 0.14679766465255087, 0.003211898449116783, 0.20486500145784478, 0.2704067706674485, -0.02967538435466237, 0.15820715376198993, -0.06540810203613105, 0.030577465362205992, -0.18295927060823333, -0.23261273230453677, -0.19079941072233833, 0.03789909636269849, -0.20459075892124542, -0.19813397524896825, 0.2827403468706894, 0.061759821872346764, 0.1593342725150656, -0.0227593571192004, 0.2028123717824237, 0.013310170976795477, 0.06108483707181888, 0.022049492142061786, 0.26951623523272433, 0.20970240346211386, 0.16565520225996427, -0.21555778214541993, 0.15305579319079915, 0.015011544659789098] |
709.2173 | Stabilization for mapping class groups of 3-manifolds | We prove that the homology of the mapping class group of any 3-manifold
stabilizes under connected sum and boundary connected sum with an arbitrary
3-manifold when both manifolds are compact and orientable. The stabilization
also holds for the quotient group by twists along spheres and disks, and
includes as particular cases homological stability for symmetric automorphisms
of free groups, automorphisms of certain free products, and handlebody mapping
class groups. Our methods also apply to manifolds of other dimensions in the
case of stabilization by punctures.
| math.GT math.AT | we prove that the homology of the mapping class group of any 3manifold stabilizes under connected sum and boundary connected sum with an arbitrary 3manifold when both manifolds are compact and orientable the stabilization also holds for the quotient group by twists along spheres and disks and includes as particular cases homological stability for symmetric automorphisms of free groups automorphisms of certain free products and handlebody mapping class groups our methods also apply to manifolds of other dimensions in the case of stabilization by punctures | [['we', 'prove', 'that', 'the', 'homology', 'of', 'the', 'mapping', 'class', 'group', 'of', 'any', '3manifold', 'stabilizes', 'under', 'connected', 'sum', 'and', 'boundary', 'connected', 'sum', 'with', 'an', 'arbitrary', '3manifold', 'when', 'both', 'manifolds', 'are', 'compact', 'and', 'orientable', 'the', 'stabilization', 'also', 'holds', 'for', 'the', 'quotient', 'group', 'by', 'twists', 'along', 'spheres', 'and', 'disks', 'and', 'includes', 'as', 'particular', 'cases', 'homological', 'stability', 'for', 'symmetric', 'automorphisms', 'of', 'free', 'groups', 'automorphisms', 'of', 'certain', 'free', 'products', 'and', 'handlebody', 'mapping', 'class', 'groups', 'our', 'methods', 'also', 'apply', 'to', 'manifolds', 'of', 'other', 'dimensions', 'in', 'the', 'case', 'of', 'stabilization', 'by', 'punctures']] | [-0.20316049897057167, 0.11545740276838735, -0.04363886900246143, 0.02607901747174123, -0.08640062486862435, -0.1629064545583199, -0.03532825150691411, 0.38120376038200715, -0.2948465912383707, -0.24243765399407816, 0.16175422951003865, -0.2514329983140616, -0.137533135775148, 0.2212795436163159, -0.16234441997812074, -0.03929971646079246, 0.08506251609719852, 0.07994201428749982, -0.10158496973488261, -0.280816529954181, 0.5022384763640516, -0.09603025982129004, 0.2109635688802775, 0.07548322519492906, 0.1000160040333867, 0.021581970850991852, 0.007361644868026761, 0.04184144123828446, -0.15874833480278647, 0.102768242937814, 0.2862540018470848, -0.021306516616331303, 0.12250425296780817, -0.3861100743579514, -0.2153651759357137, 0.1901946699794601, 0.1366885763045181, -0.023723188042640685, -0.05737929271041032, -0.27879691851215765, 0.10749489434392137, -0.15693152077934322, -0.1828176598667222, -0.08974928219309625, 0.03431844355209785, 0.012139339701217763, -0.19230909522841957, -0.014419288216295708, 0.10315829346723417, 0.1034656090552316, -0.12083979113137021, -0.08050606468254153, -0.08786547462017659, 0.20491629952242982, 0.03211417040951988, 0.012475604585864965, 0.12402969388948644, -0.08899387426893501, -0.12132983223589903, 0.3848627526422634, -0.053521197579581944, -0.2852322414955672, 0.1771025373655207, -0.14157776995835936, -0.22140984485364135, 0.15152628173065535, 0.08554243244888152, 0.20232943322180824, -0.0023042999298708952, 0.17506433121298495, -0.09677484007963144, 0.07055974116631071, 0.0907211524543955, -0.05015738325412659, 0.1196193054318428, 0.06782423672540223, 0.18581767140285058, 0.19545218030278408, 0.023411125385695522, -0.03890694232986254, -0.36443764383302013, -0.23366688622490447, -0.08546312020762878, 0.10581848772571367, -0.1609205578773981, -0.1649746880209183, 0.3677183414645055, -0.042553856410086154, 0.09862392816473456, 0.1930069341269486, 0.22905913411694415, -0.010674322843003799, 0.08178057214793037, 0.10872214313815622, 0.08794083488447701, 0.2454638143398744, -0.12947357884224722, -0.15060607308850568, -0.06321680925457793, 0.2211104418096297] |
709.2174 | Topological rigidity for holomorphic foliations | We study analytic deformations and unfoldings of holomorphic foliations in
complex projective plane $\mathbb{C}P(2)$. Let $\{\mathcal{F}_t\}_{t \in
\mathbb{D}_{\epsilon}}$ be topological trivial (in $\mathbb{C}^2$) analytic
deformation of a foliation $\mathcal{F}_0$ on $\mathbb{C}^2$. We show that
under some dynamical restriction on $\mathcal{F}_0$, we have two possibilities:
$\mathcal{F}_0$ is a Darboux (logarithmic) foliation, or $\{\mathcal{F}_t\}_{t
\in \mathbb{D}_{\epsilon}}$ is an unfolding. We obtain in this way a link
between the analytical classification of the unfolding and the one of its germs
at the singularities on the infinity line. Also we prove that a finitely
generated subgroup of $\mathrm{Diff}(\mathbb{C}^n,0)$ with polynomial growth is
solvable.
| math.DS math.CV | we study analytic deformations and unfoldings of holomorphic foliations in complex projective plane mathbbcp2 let mathcalf_t_t in mathbbd_epsilon be topological trivial in mathbbc2 analytic deformation of a foliation mathcalf_0 on mathbbc2 we show that under some dynamical restriction on mathcalf_0 we have two possibilities mathcalf_0 is a darboux logarithmic foliation or mathcalf_t_t in mathbbd_epsilon is an unfolding we obtain in this way a link between the analytical classification of the unfolding and the one of its germs at the singularities on the infinity line also we prove that a finitely generated subgroup of mathrmdiffmathbbcn0 with polynomial growth is solvable | [['we', 'study', 'analytic', 'deformations', 'and', 'unfoldings', 'of', 'holomorphic', 'foliations', 'in', 'complex', 'projective', 'plane', 'mathbbcp2', 'let', 'mathcalf_t_t', 'in', 'mathbbd_epsilon', 'be', 'topological', 'trivial', 'in', 'mathbbc2', 'analytic', 'deformation', 'of', 'a', 'foliation', 'mathcalf_0', 'on', 'mathbbc2', 'we', 'show', 'that', 'under', 'some', 'dynamical', 'restriction', 'on', 'mathcalf_0', 'we', 'have', 'two', 'possibilities', 'mathcalf_0', 'is', 'a', 'darboux', 'logarithmic', 'foliation', 'or', 'mathcalf_t_t', 'in', 'mathbbd_epsilon', 'is', 'an', 'unfolding', 'we', 'obtain', 'in', 'this', 'way', 'a', 'link', 'between', 'the', 'analytical', 'classification', 'of', 'the', 'unfolding', 'and', 'the', 'one', 'of', 'its', 'germs', 'at', 'the', 'singularities', 'on', 'the', 'infinity', 'line', 'also', 'we', 'prove', 'that', 'a', 'finitely', 'generated', 'subgroup', 'of', 'mathrmdiffmathbbcn0', 'with', 'polynomial', 'growth', 'is', 'solvable']] | [-0.24848944361049993, 0.036528322095212694, -0.13812314570047116, 0.04847254892471634, -0.10582117012624319, -0.12426649468761752, -0.03809440739223646, 0.38190426962197915, -0.3051428635371849, -0.1116241821970713, 0.10141957411906333, -0.2768861186632421, -0.18821773513385173, 0.2088980496652463, -0.10707059222234723, 0.0278245340250578, 0.043548277969724346, 0.10589259639770414, -0.11870310161126933, -0.256059646315407, 0.42524557762468856, -0.09504944218012194, 0.17134735445385255, 0.08657812662992607, 0.10035102349077836, -0.021739450889678363, 0.04655640593652303, -0.0264495462688501, -0.21493806095850232, 0.09532042335680065, 0.2680829190261041, 0.06938492676757353, 0.18549974962176444, -0.3745345095133719, -0.16046950230762982, 0.2176494935217003, 0.16858846190734766, 0.026943644785205834, -0.02385508074682245, -0.26934592780889943, 0.10834993802806518, -0.1097901360578059, -0.19494767326007909, -0.113535412432005, 0.03251236319192685, -0.00526562121558527, -0.17318295411920795, -4.9358042512418855e-05, 0.12012694526341268, 0.16707909839969184, -0.06790940821156255, 0.004104351023367296, -0.08460460201119228, 0.028924470488467097, 0.02230566799456331, 0.0911356408832944, 0.1039128536018931, -0.057920341035545185, -0.11315400903307211, 0.3437199806406473, -0.06661561090610728, -0.31216104202515754, 0.15536056617080854, -0.20810067147491887, -0.21758988767154128, 0.13048650722096986, 0.11814339258125983, 0.15334475280542392, -0.047537248082032114, 0.21557687972282716, -0.07417721117963083, 0.062220439319692865, 0.15701109827690138, -0.0814148267187799, 0.13614705827785656, 0.12144507923706745, 0.10930978699131326, 0.15361288772813472, 0.004820312239947573, -0.03787631343584508, -0.38195810090595234, -0.20617169617131972, -0.10847311095979724, 0.1835509460506728, -0.1195987358317628, -0.18531079456442967, 0.44491663047422964, 0.028512246635121603, 0.2496389289929842, 0.11431273735555199, 0.2453929933520461, 0.059944052152180426, 0.025109435271588154, 0.06791931876311234, 0.16513653592028277, 0.13865430483322902, -0.06546942069447444, -0.15830491418698026, -0.006972377474691409, 0.17582067656136738] |
709.2175 | Electric-Magnetic Struggle in QGP, Deconfinement and Baryons | We argue that quite unusual properties of Quark-Gluon Plasma in the RHIC
temperature domain $T=(1-2)T_c$ are consequences of the approximate equilibrium
between electric and magnetic sectors reached above the deconfinement
temperature. Already classical study of few body motion in a electric-magnetic
plasma shows abnormally large scattering rate due to the so called ``magnetic
bottle'' effect. Molecular dynamics simulation have found that equal mixture of
electric and magnetic quasiparticles do produce plasmas of small viscosity and
even smaller diffusion rate, comparable to what is needed to explain RHIC data
and also to what follows from AdS/CFT.
As a separate issue, we point out that right above $T_c$ there should be
surviving s-wave baryons made of quarks ($N,\Delta$), as well as adjoint
objects, 3-gluon and 3-monopole chains (the latter being nothing else but
``calorons'' or finite-T instantons).
| hep-ph | we argue that quite unusual properties of quarkgluon plasma in the rhic temperature domain t12t_c are consequences of the approximate equilibrium between electric and magnetic sectors reached above the deconfinement temperature already classical study of few body motion in a electricmagnetic plasma shows abnormally large scattering rate due to the so called magnetic bottle effect molecular dynamics simulation have found that equal mixture of electric and magnetic quasiparticles do produce plasmas of small viscosity and even smaller diffusion rate comparable to what is needed to explain rhic data and also to what follows from adscft as a separate issue we point out that right above t_c there should be surviving swave baryons made of quarks ndelta as well as adjoint objects 3gluon and 3monopole chains the latter being nothing else but calorons or finitet instantons | [['we', 'argue', 'that', 'quite', 'unusual', 'properties', 'of', 'quarkgluon', 'plasma', 'in', 'the', 'rhic', 'temperature', 'domain', 't12t_c', 'are', 'consequences', 'of', 'the', 'approximate', 'equilibrium', 'between', 'electric', 'and', 'magnetic', 'sectors', 'reached', 'above', 'the', 'deconfinement', 'temperature', 'already', 'classical', 'study', 'of', 'few', 'body', 'motion', 'in', 'a', 'electricmagnetic', 'plasma', 'shows', 'abnormally', 'large', 'scattering', 'rate', 'due', 'to', 'the', 'so', 'called', 'magnetic', 'bottle', 'effect', 'molecular', 'dynamics', 'simulation', 'have', 'found', 'that', 'equal', 'mixture', 'of', 'electric', 'and', 'magnetic', 'quasiparticles', 'do', 'produce', 'plasmas', 'of', 'small', 'viscosity', 'and', 'even', 'smaller', 'diffusion', 'rate', 'comparable', 'to', 'what', 'is', 'needed', 'to', 'explain', 'rhic', 'data', 'and', 'also', 'to', 'what', 'follows', 'from', 'adscft', 'as', 'a', 'separate', 'issue', 'we', 'point', 'out', 'that', 'right', 'above', 't_c', 'there', 'should', 'be', 'surviving', 'swave', 'baryons', 'made', 'of', 'quarks', 'ndelta', 'as', 'well', 'as', 'adjoint', 'objects', '3gluon', 'and', '3monopole', 'chains', 'the', 'latter', 'being', 'nothing', 'else', 'but', 'calorons', 'or', 'finitet', 'instantons']] | [-0.10371691694560188, 0.25587194698645654, -0.1072843740729237, 0.13669844025910544, -0.07999781500268027, -0.14864066518191948, 0.038510425919596865, 0.3736522692654814, -0.23031338631294498, -0.27465000124017996, 0.043865962026647776, -0.29764811407172476, -0.04527641217490392, 0.1307655555971625, 0.010337387043562598, 0.025573940117864458, 0.012196891296907026, 0.056425704874616484, -0.041160830966073536, -0.20576487738232976, 0.27513986588210654, 0.04111674577991226, 0.24749557631216326, 0.13564237992496306, 0.04831883406592183, -0.07470194664538692, 0.051219539863453074, 0.04655983363789387, -0.10256524725712764, -0.016028586964129954, 0.2426639059068341, 0.0202991707428053, 0.17290007157069176, -0.4625998290493748, -0.2062227214866885, 0.1109026493924789, 0.1982436078859675, 0.11703307327947446, -0.04096482606356109, -0.2378610295831765, 0.07281173232599701, -0.19326682908012344, -0.17833478380470796, -0.09820083398687043, 0.04965114147451363, 0.00033029134707399327, -0.235745899438774, 0.113707871367775, 0.04964579926905243, 0.06348447789459076, -0.04592302028453888, -0.17353015907696986, -0.06785714305251052, 0.05601255925323226, 0.14914639328634435, 0.098323107686566, 0.1988721815274006, -0.2023597349223674, -0.06423350743585288, 0.3817036402852912, -0.03212185556688731, -0.12706049462024094, 0.21142925217019437, -0.20709095128174676, -0.09657199211992827, 0.15192243579032838, 0.1198201133813569, 0.09944922538453195, -0.1510191514004456, 0.04709266712740274, -0.05338914707807222, 0.15981146177697989, 0.1157915949982528, 0.04988893901901249, 0.27376633220093144, 0.13230668249429742, 0.020532219065003153, 0.12264034568937845, -0.03390542374349626, -0.09644987433448546, -0.29346250024925274, -0.09871874416695166, -0.16908650931244001, 0.08760696299616125, -0.036946179020840894, -0.16625202203491576, 0.28327985583363396, 0.1929722171100872, 0.215569485567118, -0.04255006261541039, 0.273822167069, 0.07129993939446636, 0.06291187480372146, 0.10502759198294043, 0.2732637929344984, 0.16973144402797508, 0.1617081668823117, -0.25984405390603144, 0.017530307483586267, 0.06514726100923647] |
709.2176 | Electronic pathway in the photosynthetic reaction centers and some
mutation of RC's | The reaction center of Chloroflexus aurantiacus and Rhodobacter sphaeroides
mutation of RC`s was investigated. To describe the kinetic of the Chloroflexus
aurantiacus RC's we use incoherent model of electron transfer. It was shown
that the asymmetry in electronic coupling must be included to explain the
experiments. For the description of Rhodobacter sphaeroides H(M182)L mutation
we used partially coherent as incoherent models of electron transfer. These two
models are discussed with regard to the observed electron transfer kinetics. It
can be concluded that partially coherent model is more adequate. We predict
some new electron pathways for describing the kinetic of RC's and some
mutation.
| cond-mat.soft cond-mat.other | the reaction center of chloroflexus aurantiacus and rhodobacter sphaeroides mutation of rcs was investigated to describe the kinetic of the chloroflexus aurantiacus rcs we use incoherent model of electron transfer it was shown that the asymmetry in electronic coupling must be included to explain the experiments for the description of rhodobacter sphaeroides hm182l mutation we used partially coherent as incoherent models of electron transfer these two models are discussed with regard to the observed electron transfer kinetics it can be concluded that partially coherent model is more adequate we predict some new electron pathways for describing the kinetic of rcs and some mutation | [['the', 'reaction', 'center', 'of', 'chloroflexus', 'aurantiacus', 'and', 'rhodobacter', 'sphaeroides', 'mutation', 'of', 'rcs', 'was', 'investigated', 'to', 'describe', 'the', 'kinetic', 'of', 'the', 'chloroflexus', 'aurantiacus', 'rcs', 'we', 'use', 'incoherent', 'model', 'of', 'electron', 'transfer', 'it', 'was', 'shown', 'that', 'the', 'asymmetry', 'in', 'electronic', 'coupling', 'must', 'be', 'included', 'to', 'explain', 'the', 'experiments', 'for', 'the', 'description', 'of', 'rhodobacter', 'sphaeroides', 'hm182l', 'mutation', 'we', 'used', 'partially', 'coherent', 'as', 'incoherent', 'models', 'of', 'electron', 'transfer', 'these', 'two', 'models', 'are', 'discussed', 'with', 'regard', 'to', 'the', 'observed', 'electron', 'transfer', 'kinetics', 'it', 'can', 'be', 'concluded', 'that', 'partially', 'coherent', 'model', 'is', 'more', 'adequate', 'we', 'predict', 'some', 'new', 'electron', 'pathways', 'for', 'describing', 'the', 'kinetic', 'of', 'rcs', 'and', 'some', 'mutation']] | [-0.05839297948405146, 0.17755947707220912, -0.05781117281207116, 0.16691147000179626, -0.0032805015332996847, -0.16290021685650571, 0.01530764864757657, 0.40863773407414555, -0.2788378469878808, -0.2457516910880804, 0.010411997054470703, -0.24007994825951756, -0.13796108529902995, 0.2123192560253665, -0.010598861305043101, 0.009121462763287127, 0.04664305236656219, -0.010411421027965844, 0.007203327412717044, -0.1989265945320949, 0.29785512303933503, 0.09803456107387319, 0.2872419064119458, 0.07101678532548249, 0.1281661082059145, -0.01210886144079268, -0.024037593211978674, -0.014730992503464222, -0.11164647812271142, 0.10694540767464787, 0.27203315150320123, 0.08499528085812927, 0.18013320179656148, -0.43583126263692973, -0.23014073013328015, 0.06622582817915827, 0.12818997883761768, 0.18897724050562828, -0.060026641528384064, -0.19805139935575425, 0.06058189663104713, -0.2222598415054381, -0.10098057499155402, -0.09106467151548714, -0.009454715400934219, 0.06445246802642941, -0.27036582193803044, 0.0636591446888633, 0.046479014228098095, 0.007409471039136406, -0.11211982094217092, -0.10600321374018677, -0.06859845707193017, 0.1237009082082659, 0.03886304028797895, 0.00011932165507460013, 0.17013537076767535, -0.07443372071254999, -0.09534018371719867, 0.34669834293890744, -0.040363712599501014, -0.1490254010958597, 0.21062297701835633, -0.15649778308346868, -0.09132179473061114, 0.13314955947687848, 0.11975114608416333, 0.07759686842560769, -0.20615004794672132, 0.026998240570537745, -0.01815650215372443, 0.1270269768126309, 0.06356251090765, -0.023498624162748456, 0.16293808242306113, 0.1809825686190743, -0.027503277738578618, 0.10418929226463661, -0.12452199842780828, -0.11383951739408076, -0.2421016127197072, -0.1276050446368754, -0.10765523365465925, 0.07697338129393756, 0.03285903423588024, -0.10888263762783026, 0.3681068072468042, 0.14347124400082975, 0.18677249102387578, -0.036077578247059136, 0.24339746554847808, 0.1275936746026855, 0.08289313757792115, -0.004211648213677108, 0.2401706312346505, 0.15239868204807863, 0.0839159454125911, -0.30843778715003284, 0.09080837439280004, 0.016447783426847308] |
709.2177 | Fragmentation cross-sections and binding energies of neutron-rich nuclei | An exponential dependence of the fragmentation cross-section on the average
binding energy is observed and reproduced with a statistical model. The
observed functional dependence is robust and allows the extraction of binding
energies from measured cross-sections. From the systematics of 75,77,78,79Cu
isotope cross-sections have been extracted. They are 636.94 +/- 0.40 MeV, 647.1
+/- 0.4 MeV, 651.6 +/- 0.4 MeV and 657.8 +/- 0.5 MeV, respectively.
Specifically, the uncertainty of the binding energy of 75Cu is reduced from 980
keV (listed value in the 2003 mass table of Audi and Wapstra) to 400 keV. The
predicted cross-sections of two near drip-line nuclei, 39Na and 40Mg, from the
fragmentation of 48Ca are discussed.
| nucl-ex | an exponential dependence of the fragmentation crosssection on the average binding energy is observed and reproduced with a statistical model the observed functional dependence is robust and allows the extraction of binding energies from measured crosssections from the systematics of 75777879cu isotope crosssections have been extracted they are 63694 040 mev 6471 04 mev 6516 04 mev and 6578 05 mev respectively specifically the uncertainty of the binding energy of 75cu is reduced from 980 kev listed value in the 2003 mass table of audi and wapstra to 400 kev the predicted crosssections of two near dripline nuclei 39na and 40mg from the fragmentation of 48ca are discussed | [['an', 'exponential', 'dependence', 'of', 'the', 'fragmentation', 'crosssection', 'on', 'the', 'average', 'binding', 'energy', 'is', 'observed', 'and', 'reproduced', 'with', 'a', 'statistical', 'model', 'the', 'observed', 'functional', 'dependence', 'is', 'robust', 'and', 'allows', 'the', 'extraction', 'of', 'binding', 'energies', 'from', 'measured', 'crosssections', 'from', 'the', 'systematics', 'of', '75777879cu', 'isotope', 'crosssections', 'have', 'been', 'extracted', 'they', 'are', '63694', '040', 'mev', '6471', '04', 'mev', '6516', '04', 'mev', 'and', '6578', '05', 'mev', 'respectively', 'specifically', 'the', 'uncertainty', 'of', 'the', 'binding', 'energy', 'of', '75cu', 'is', 'reduced', 'from', '980', 'kev', 'listed', 'value', 'in', 'the', '2003', 'mass', 'table', 'of', 'audi', 'and', 'wapstra', 'to', '400', 'kev', 'the', 'predicted', 'crosssections', 'of', 'two', 'near', 'dripline', 'nuclei', '39na', 'and', '40mg', 'from', 'the', 'fragmentation', 'of', '48ca', 'are', 'discussed']] | [0.0025911171495625117, 0.20900176297005796, -0.052382658891271326, 0.15267191881662034, 0.047547189587754314, -0.08088355737023996, 0.06992386918948981, 0.3952517959027036, -0.1766001695486744, -0.3980555814482923, -0.04672568864799421, -0.3890414243696531, 0.08891247159652231, 0.18678815438394045, 0.06481976086472713, 0.07351612508211068, 0.058738639478761595, 0.03477601787907261, -0.0755806382716118, -0.15195074849264714, 0.24187645378513534, 0.1261834412953337, 0.2399500051278223, 0.18130297626558584, 0.04294592465129365, -0.023335282299758016, 0.017462762927148236, -0.0767407189258962, -0.19147713519451978, 0.10043934282385608, 0.2237356557574087, 0.02409477236802753, 0.15290392209206102, -0.29678332819196496, -0.12550018895055773, 0.06302964313009989, 0.12007807633778514, 0.05531191245824533, -0.030253357395249446, -0.28454638303266566, 0.07227073737772778, -0.22235268979893943, -0.12059939624425205, -0.004142863305231321, 0.04996867182447566, 0.06645139490674674, -0.23033813531827002, 0.17249799691122567, -0.0460891627245447, 0.059879058415920124, -0.15100751312402105, -0.2894530953043728, -0.08585608816588099, 0.01699485483769219, 0.07480137545764627, 0.05469656494690232, 0.211471194781146, -0.049414548629587426, -0.06969686530110002, 0.4090396863887611, 0.0015583529037613312, -0.031895404437430275, 0.07134939045690507, -0.13759796228259802, -0.09612821642020085, 0.24878946818112965, 0.13600528653421737, 0.07190266226811642, -0.1503507478560493, 0.06774177482448862, 0.02785103853556861, 0.2660789108536776, 0.12152890159377774, -0.012012342379871503, 0.16203042716793806, 0.19012791486072705, -0.05510731541226139, 0.019026165935482144, -0.23303427981908967, -0.06957245859751496, -0.2733223471537377, -0.04244701495140936, -0.09711616832166187, 0.09088560666219847, -0.05920608144056264, -0.06884983832494682, 0.3577925212030272, 0.061050840404825016, 0.27638935026016487, 0.017045866494582406, 0.23162939868306795, 0.11918877052070881, 0.09087137614974425, 0.048027183351011436, 0.3339659130309247, 0.18307281686083496, 0.07712937098502823, -0.21123711620141, 0.041811878024374395, -0.019845132853890075] |
709.2178 | Long Memory and Volatility Clustering: is the empirical evidence
consistent across stock markets? | Long memory and volatility clustering are two stylized facts frequently
related to financial markets. Traditionally, these phenomena have been studied
based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and
FIGARCH, inter alia. One advantage of these models is their ability to capture
nonlinear dynamics. Another interesting manner to study the volatility
phenomena is by using measures based on the concept of entropy. In this paper
we investigate the long memory and volatility clustering for the SP 500, NASDAQ
100 and Stoxx 50 indexes in order to compare the US and European Markets.
Additionally, we compare the results from conditionally heteroscedastic models
with those from the entropy measures. In the latter, we examine Shannon
entropy, Renyi entropy and Tsallis entropy. The results corroborate the
previous evidence of nonlinear dynamics in the time series considered.
| q-fin.ST physics.soc-ph | long memory and volatility clustering are two stylized facts frequently related to financial markets traditionally these phenomena have been studied based on conditionally heteroscedastic models like arch garch igarch and figarch inter alia one advantage of these models is their ability to capture nonlinear dynamics another interesting manner to study the volatility phenomena is by using measures based on the concept of entropy in this paper we investigate the long memory and volatility clustering for the sp 500 nasdaq 100 and stoxx 50 indexes in order to compare the us and european markets additionally we compare the results from conditionally heteroscedastic models with those from the entropy measures in the latter we examine shannon entropy renyi entropy and tsallis entropy the results corroborate the previous evidence of nonlinear dynamics in the time series considered | [['long', 'memory', 'and', 'volatility', 'clustering', 'are', 'two', 'stylized', 'facts', 'frequently', 'related', 'to', 'financial', 'markets', 'traditionally', 'these', 'phenomena', 'have', 'been', 'studied', 'based', 'on', 'conditionally', 'heteroscedastic', 'models', 'like', 'arch', 'garch', 'igarch', 'and', 'figarch', 'inter', 'alia', 'one', 'advantage', 'of', 'these', 'models', 'is', 'their', 'ability', 'to', 'capture', 'nonlinear', 'dynamics', 'another', 'interesting', 'manner', 'to', 'study', 'the', 'volatility', 'phenomena', 'is', 'by', 'using', 'measures', 'based', 'on', 'the', 'concept', 'of', 'entropy', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'long', 'memory', 'and', 'volatility', 'clustering', 'for', 'the', 'sp', '500', 'nasdaq', '100', 'and', 'stoxx', '50', 'indexes', 'in', 'order', 'to', 'compare', 'the', 'us', 'and', 'european', 'markets', 'additionally', 'we', 'compare', 'the', 'results', 'from', 'conditionally', 'heteroscedastic', 'models', 'with', 'those', 'from', 'the', 'entropy', 'measures', 'in', 'the', 'latter', 'we', 'examine', 'shannon', 'entropy', 'renyi', 'entropy', 'and', 'tsallis', 'entropy', 'the', 'results', 'corroborate', 'the', 'previous', 'evidence', 'of', 'nonlinear', 'dynamics', 'in', 'the', 'time', 'series', 'considered']] | [-0.03899361817305213, 0.08739618120242411, -0.12009592497471108, 0.18760982302535298, -0.050623364433813, -0.1331232208202579, 0.018676348455396216, 0.39600084819344444, -0.2744261086709909, -0.2579823857479131, 0.14758902633868493, -0.35220904388367685, -0.15864065889991932, 0.21262994765498633, -0.1108569190802692, 0.09554562325686661, -0.013587718280449287, 0.012766908075827272, 0.02794729599923785, -0.2748320441668742, 0.27090392999330176, 0.0671336479943746, 0.32772176001749154, 0.017920553990042033, 0.0891202668044842, -0.036143511109776906, -0.09345436931710252, 0.01388282557504613, -0.16840520691571395, 0.14188205752410551, 0.24094582893452915, 0.093420330801659, 0.3217725451139094, -0.43891876783055156, -0.24164968797130815, 0.10206480023847309, 0.030531932269709548, 0.040833056362262414, 0.05299179537965457, -0.27201930628811466, -0.004744373466958528, -0.2270130624303094, -0.050088841165763454, -0.13396532376341994, 0.02883036178536713, 0.0691815203823733, -0.24221015399071708, 0.13811444434504122, 0.07928010186792087, 0.04466575259449648, -0.05473347451996559, -0.10883486939510748, 0.00040152474174470597, 0.08095666308150586, 0.13365083760599286, -0.08539221939325, 0.09328915348707406, -0.07908565537663483, -0.20657225509883084, 0.323100921631888, -0.09623160705043336, -0.1712360508851151, 0.1991432863878392, -0.1624999296966134, -0.1530552951361873, 0.052292802138254046, 0.20490592762605467, 0.04981396671335922, -0.1782669400129078, 0.04299954357713377, -0.022525189202035598, 0.1670896299113867, 0.0484329451382883, 0.02646277968618852, 0.15957078039246514, 0.15386798213333336, 0.004814635998736233, 0.15922096408312836, -0.11035430412253004, -0.20961852483242863, -0.21296022107491075, -0.1414623856683498, -0.15723977729664254, 0.01320435979347954, -0.13674579345236304, -0.13717558566648547, 0.40608998527055357, 0.21054411510617208, 0.18215386938249845, 0.09170240770552808, 0.2567894029806354, 0.11330017980375785, 0.009250065601959047, 0.09124415797362131, 0.16097153291373806, 0.10699419700366848, 0.13856720257161267, -0.17690258226600655, 0.15440623903188355, 0.04354831453155615] |
709.2179 | Role of electrostatic forces in cluster formation in a dry ionomer | This simulation study investigates the dependence of the structure of dry
Nafion$^{\tiny\textregistered}$-like ionomers on the electrostatic interactions
between the components of the molecules. In order to speed equilibration, a
procedure was adopted which involved detaching the side chains from the
backbone and cutting the backbone into segments, and then reassembling the
macromolecule by means of a strong imposed attractive force between the cut
ends of the backbone, and between the non-ionic ends of the side chains and the
midpoints of the backbone segments. Parameters varied in this study include the
dielectric constant, the free volume, side-chain length, and strength of
head-group interactions. A series of coarse-grained mesoscale simulations shows
the morphlogy to depend sensitively on the ratio of the strength of the
dipole-dipole interactions between the side-chain acidic end groups to the
strength of the other electrostatic components of the Hamiltonian. Examples of
the two differing morphologies proposed by Gierke and by Gebel emerge from our
simulations.
| cond-mat.soft cond-mat.mtrl-sci | this simulation study investigates the dependence of the structure of dry nafiontinytextregisteredlike ionomers on the electrostatic interactions between the components of the molecules in order to speed equilibration a procedure was adopted which involved detaching the side chains from the backbone and cutting the backbone into segments and then reassembling the macromolecule by means of a strong imposed attractive force between the cut ends of the backbone and between the nonionic ends of the side chains and the midpoints of the backbone segments parameters varied in this study include the dielectric constant the free volume sidechain length and strength of headgroup interactions a series of coarsegrained mesoscale simulations shows the morphlogy to depend sensitively on the ratio of the strength of the dipoledipole interactions between the sidechain acidic end groups to the strength of the other electrostatic components of the hamiltonian examples of the two differing morphologies proposed by gierke and by gebel emerge from our simulations | [['this', 'simulation', 'study', 'investigates', 'the', 'dependence', 'of', 'the', 'structure', 'of', 'dry', 'nafiontinytextregisteredlike', 'ionomers', 'on', 'the', 'electrostatic', 'interactions', 'between', 'the', 'components', 'of', 'the', 'molecules', 'in', 'order', 'to', 'speed', 'equilibration', 'a', 'procedure', 'was', 'adopted', 'which', 'involved', 'detaching', 'the', 'side', 'chains', 'from', 'the', 'backbone', 'and', 'cutting', 'the', 'backbone', 'into', 'segments', 'and', 'then', 'reassembling', 'the', 'macromolecule', 'by', 'means', 'of', 'a', 'strong', 'imposed', 'attractive', 'force', 'between', 'the', 'cut', 'ends', 'of', 'the', 'backbone', 'and', 'between', 'the', 'nonionic', 'ends', 'of', 'the', 'side', 'chains', 'and', 'the', 'midpoints', 'of', 'the', 'backbone', 'segments', 'parameters', 'varied', 'in', 'this', 'study', 'include', 'the', 'dielectric', 'constant', 'the', 'free', 'volume', 'sidechain', 'length', 'and', 'strength', 'of', 'headgroup', 'interactions', 'a', 'series', 'of', 'coarsegrained', 'mesoscale', 'simulations', 'shows', 'the', 'morphlogy', 'to', 'depend', 'sensitively', 'on', 'the', 'ratio', 'of', 'the', 'strength', 'of', 'the', 'dipoledipole', 'interactions', 'between', 'the', 'sidechain', 'acidic', 'end', 'groups', 'to', 'the', 'strength', 'of', 'the', 'other', 'electrostatic', 'components', 'of', 'the', 'hamiltonian', 'examples', 'of', 'the', 'two', 'differing', 'morphologies', 'proposed', 'by', 'gierke', 'and', 'by', 'gebel', 'emerge', 'from', 'our', 'simulations']] | [-0.18431907893235344, 0.13940197990269831, -0.0558268305586097, -0.007014213061778885, 0.0037713368823508323, -0.08872234457312456, 0.05394262131120937, 0.35517775157795234, -0.29267570309438345, -0.2907213044761424, 0.025655254114455746, -0.28725705640329646, -0.12281659047280627, 0.12874423555141085, 0.06597709400408895, -0.025463254848385557, 0.038491947275854255, 0.01835969515643965, -0.03149221715779087, -0.18917111842740886, 0.29425008083066717, 0.07100463385261546, 0.2849462088319211, 0.1318470139446017, 0.0923389759632984, 0.04346075585550245, -7.326436210788932e-05, 0.02851345912428585, -0.17713663552041634, 0.14469751257303298, 0.1569904370440377, 0.002759210728839332, 0.22972958317799555, -0.4869811939550381, -0.174990318378881, 0.05622228993893467, 0.12785321022414303, 0.0981141601596332, 0.013757662508283662, -0.2756172360706271, 0.01673944216538099, -0.10939945117418283, -0.10852998559853196, 0.03702430669644397, 0.017444971491190075, 0.12474338165210451, -0.20850221209381736, 0.07566752482899557, 0.04352866499715186, 0.06811855924528798, -0.044041106383030125, -0.0954286532044362, -0.07122804714348532, 0.18673104244235636, 0.0925257818383816, -0.021061574014548966, 0.20327496143009247, -0.12683705467840328, -0.030189046130996513, 0.376949098095103, -0.04677804064818238, -0.17688333051769198, 0.2415214939259017, -0.08315890741700403, -0.08609519041831197, 0.14615313396515214, 0.13531084173036362, 0.08131577430317312, -0.12151240348074817, 0.061910458958366874, 0.018014512950816235, 0.19333159588307774, 0.08700300038493926, -0.03994309200046986, 0.20267073824709536, 0.16968172354459324, 0.032769211385991835, 0.19484136574688593, -0.08349291119401897, -0.12740154351941704, -0.2696283109306534, -0.14798895432157258, -0.17248658371520126, -0.019151011101438912, -0.12969414231362084, -0.18578427029755332, 0.41870794249576776, 0.10879697642757807, 0.21443768708777974, 0.032541968787448125, 0.275725036110802, 0.01668455534282877, 0.08921045195798274, 0.007629694352443848, 0.2478862739612464, 0.15946782462441916, 0.034900971523979134, -0.29320139043471394, 0.08661353898088575, 0.07700608506969182] |
709.218 | Effective field theories for rooted staggered fermions | We extend the construction of the Symanzik effective action to include rooted
staggered fermions, starting from a generalization of the renormalization-group
approach to rooted staggered fermions. The Symanzik action, together with the
usual construction of a partially quenched chiral effective theory from a
local, partially quenched, fundamental theory, can then be used to derive the
chiral effective theory. The latter reproduces rooted staggered chiral
perturbation theory.
| hep-lat | we extend the construction of the symanzik effective action to include rooted staggered fermions starting from a generalization of the renormalizationgroup approach to rooted staggered fermions the symanzik action together with the usual construction of a partially quenched chiral effective theory from a local partially quenched fundamental theory can then be used to derive the chiral effective theory the latter reproduces rooted staggered chiral perturbation theory | [['we', 'extend', 'the', 'construction', 'of', 'the', 'symanzik', 'effective', 'action', 'to', 'include', 'rooted', 'staggered', 'fermions', 'starting', 'from', 'a', 'generalization', 'of', 'the', 'renormalizationgroup', 'approach', 'to', 'rooted', 'staggered', 'fermions', 'the', 'symanzik', 'action', 'together', 'with', 'the', 'usual', 'construction', 'of', 'a', 'partially', 'quenched', 'chiral', 'effective', 'theory', 'from', 'a', 'local', 'partially', 'quenched', 'fundamental', 'theory', 'can', 'then', 'be', 'used', 'to', 'derive', 'the', 'chiral', 'effective', 'theory', 'the', 'latter', 'reproduces', 'rooted', 'staggered', 'chiral', 'perturbation', 'theory']] | [-0.11471843462663167, 0.3075465115323437, -0.15820941667665134, 0.07445731288471232, -0.07638480821906617, -0.08213421028587177, 0.08240101162598214, 0.30970108878770564, -0.21460460287617575, -0.2487841548652134, 0.035787081035474934, -0.24222294108547043, -0.2099875440736386, 0.02797444921452552, -0.035073456961210024, 0.02244597701638034, 0.0032015536686010432, 0.07997865314510735, -0.12291686902895119, -0.2346458976072344, 0.3166220060719008, 0.007351938310559049, 0.28034324819842976, 0.10455069547011094, 0.058720041567346816, 0.07862597223455933, -0.04149088696012217, 0.03894277163922335, -0.07481116322433633, 0.14294175656201938, 0.177093537947671, -0.08901155985553157, 0.11724958475679159, -0.42441128047578264, -0.27207828708836157, -0.030442738002448372, 0.11895166904044648, 0.21856906800883624, 0.01630119410710353, -0.308402335892121, 0.08263098605146463, -0.23835623868261324, -0.2466366726510001, -0.14458010640616217, -0.1332819088446823, -0.11326540162730397, -0.32844197851690377, 0.0319331117105762, 0.003499625420028513, 0.10911741590406922, -0.006551823169557434, -0.130737575074432, -0.07074218181272347, 0.15213571900191405, 0.04077800711666262, 0.1438556468594029, 0.06741556991597242, -0.1618617995515127, -0.17490072014995597, 0.4409407770091837, -0.15127704258669505, -0.17262889836054068, 0.1736472013801562, -0.06653614844562429, -0.18657342127213875, 0.06562244000308441, 0.1217198606834493, 0.15270093676041474, -0.16411265617970264, 0.18115883852552736, -0.08425699761419585, 0.10887741852925639, 0.054830286440185526, -0.03624859402153754, 0.24188291102252674, 0.10042485914009651, 0.07976865752910574, 0.11459006637751097, 0.05746535795289233, -0.2294383067919901, -0.29931101338429883, -0.007414656515748268, -0.16481603782934448, 0.10858937516582734, -0.1424543867875455, -0.23087191108656538, 0.39285076172514394, 0.23272829305973242, 0.12048655912054307, 0.08157505282680645, 0.23185628246177326, 0.155032801244295, 0.10568133298533433, 0.01869530878453092, 0.16506798925216903, 0.27648992287559493, 0.03418004183296227, -0.2716684658150894, -0.13997819437645376, 0.2885154780056892] |
709.2181 | A probabilistic proof of Wallis's formula for pi | Using mostly elementary results and functions from probability, we prove
Wallis's formula for pi: pi/2 = prod_n (2n * 2n) / ((2n-1) * (2n+1)). The proof
involves normalization constants and the Gamma function, Standard normal, and
the Student t-Distribution.
| math.NT math.PR | using mostly elementary results and functions from probability we prove walliss formula for pi pi2 prod_n 2n 2n 2n1 2n1 the proof involves normalization constants and the gamma function standard normal and the student tdistribution | [['using', 'mostly', 'elementary', 'results', 'and', 'functions', 'from', 'probability', 'we', 'prove', 'walliss', 'formula', 'for', 'pi', 'pi2', 'prod_n', '2n', '2n', '2n1', '2n1', 'the', 'proof', 'involves', 'normalization', 'constants', 'and', 'the', 'gamma', 'function', 'standard', 'normal', 'and', 'the', 'student', 'tdistribution']] | [-0.13154267062268712, 0.1979742373805493, -0.10662380342974383, 0.12842781654805602, -0.07283659864932655, -0.24651936419746456, 0.09066035336924388, 0.3130442291936454, -0.2535759638994932, -0.2514329908059581, -0.020918143926845753, -0.31612569345709157, -0.17479701745768955, 0.20819867637884967, 0.012852285002522609, 0.0631760056815384, 0.02130158247617895, 0.10489224637036815, -0.09821943996255011, -0.2429314634817488, 0.30989347464021516, -0.10261466293869649, 0.23154866435181568, 0.03478335769956603, 0.09504701964118902, 0.12532275617944405, -0.04174309000646805, -0.18599774858311696, -0.16540780106066344, 0.08534185341833268, 0.20970838984666282, 0.1448823870091206, 0.2062229747774408, -0.36309899345916863, -0.007809242897886126, 0.16454857092022018, 0.16110482118914232, -0.015447052853072392, 0.03342641533270259, -0.23767988140667407, 0.07888190507091007, -0.13742182236712644, -0.20110809693441672, -0.03780843213419704, 0.05566313962780816, 0.023352765738416242, -0.30394896547145706, 0.04643433656105224, 0.13130516148007967, 0.10566040569478098, 0.01042412462479928, -0.3290401841787731, 0.06047618201495532, 0.061729814391583204, 0.04810285562758937, 0.08808553161318688, 0.08121419728387777, -0.0415199309697046, -0.10558620772173848, 0.2819018177414203, -0.017542360733975384, -0.2865917118375792, 0.043422972290393186, -0.17675445727346575, -0.12476187088417218, 0.13962702927015283, 0.04112015845363631, 0.12782016933402596, -0.03747654467930689, 0.1640371722939616, -0.05865150092936614, 0.19688082294648185, 0.1428196006180609, -0.04818321709685466, 0.010698948000722071, 0.02805640217026367, 0.024131675963016117, 0.1055760923293693, 0.005532817928777898, -0.035763725967091674, -0.38753784354776144, -0.17518860907019937, -0.18974279310992537, 0.14613074318998875, -0.17039911665222676, -0.10962210907874738, 0.31954661460922046, -0.0647442731732393, 0.18243386382784912, 0.2068124177715029, 0.25273633805815787, 0.14790441309485367, 0.015029459794544998, 0.062008994973867256, 0.10585055438637295, 0.17391154115937432, -0.021048835300676087, -0.11738329750198104, 0.03369868453592062, 0.18009971821790233] |
709.2182 | Rheology of two-dimensional F-actin networks associated with a lipid
interface | We report on the surface rheology of cross-linked F-actin networks associated
with a lipid monolayer at the air-water interface of a Langmuir monolayer. The
rheological measurements are made using a Couette cell. These data demonstrate
that the network has a finite elastic modulus that grows as a function of the
cross-linking concentration. We also note that under steady-state flow the
system behaves as a power law fluid in which the effective viscosity decreases
with imposed shear.
| cond-mat.soft | we report on the surface rheology of crosslinked factin networks associated with a lipid monolayer at the airwater interface of a langmuir monolayer the rheological measurements are made using a couette cell these data demonstrate that the network has a finite elastic modulus that grows as a function of the crosslinking concentration we also note that under steadystate flow the system behaves as a power law fluid in which the effective viscosity decreases with imposed shear | [['we', 'report', 'on', 'the', 'surface', 'rheology', 'of', 'crosslinked', 'factin', 'networks', 'associated', 'with', 'a', 'lipid', 'monolayer', 'at', 'the', 'airwater', 'interface', 'of', 'a', 'langmuir', 'monolayer', 'the', 'rheological', 'measurements', 'are', 'made', 'using', 'a', 'couette', 'cell', 'these', 'data', 'demonstrate', 'that', 'the', 'network', 'has', 'a', 'finite', 'elastic', 'modulus', 'that', 'grows', 'as', 'a', 'function', 'of', 'the', 'crosslinking', 'concentration', 'we', 'also', 'note', 'that', 'under', 'steadystate', 'flow', 'the', 'system', 'behaves', 'as', 'a', 'power', 'law', 'fluid', 'in', 'which', 'the', 'effective', 'viscosity', 'decreases', 'with', 'imposed', 'shear']] | [-0.1884639063899062, 0.1719222203460767, -0.12687054929004885, -0.08292997211806084, -0.00610946882883773, -0.14549165469055114, 0.018775532132406767, 0.34738838878509243, -0.30553147485969884, -0.21557415122362344, 0.05420303139927503, -0.302202715881561, -0.22165584558081863, 0.16105977963582663, -0.0016656311621007166, 0.09901309458195771, 0.03020329060994922, -0.012457776584932091, -0.007487933166741736, -0.15428851981720837, 0.24267078035413042, 0.056886301277891585, 0.34363113754232855, 0.08642172016506695, 0.13038201117734916, -0.04069406560340308, 0.09014747691291727, 0.12198396540387828, -0.23781896254350662, 0.0737386781563002, 0.206918029742634, -0.04112881346679244, 0.22373428030589007, -0.49807208266697434, -0.27845622221694183, 0.04436979005358329, 0.12532829812813648, 0.12386601300462835, -0.05263840982623055, -0.18916864408253642, 0.0809182287806547, -0.17094918401715786, -0.11223656831211165, -0.02767749174228428, -0.0009226307493487471, 0.0866298244065164, -0.2352597365204833, 0.17426605985306914, 0.009438634217459415, 0.09641117335750575, -0.13878000534972862, -0.06401958054170552, -0.12599268372746578, 0.07285854731698667, 0.09824235461603262, 0.024987074871253418, 0.28941626684421573, -0.16036696515144094, 0.009675868431498346, 0.39297828134639484, -0.09297787451712218, -0.2017989742790202, 0.20281627761984342, -0.12267874874860833, -0.07605034570626326, 0.1400747589497386, 0.19081275389333696, 0.07573686904891617, -0.12585317904717827, 0.0126831823175675, -0.10554441915806628, 0.21021821658666195, 0.10192230091687586, -0.04946184036395464, 0.18650083148263788, 0.2692005905249205, 0.05193980063899959, 0.20369710727888896, -0.10464326080660899, -0.012147830211018262, -0.2809757689308179, -0.19549566304531732, -0.20173997153822137, 0.05729910060395732, -0.12725712171461628, -0.21559800437381982, 0.32829729436994776, 0.0357745693212277, 0.1874364570478639, 0.12261830547389477, 0.2503581746683554, 0.037395123706358536, 0.05808235097088312, 0.03982169708040984, 0.27257107056089136, 0.15326176070620454, 0.1914836391132619, -0.24650585930794477, 0.10188595845829695, 0.026073404992195338] |
709.2183 | Population inversion of a NAHS mixture adsorbed into a cylindrical pore | A cylindrical nanopore immersed in a non-additive hard sphere binary fluid is
studied by means of integral equation theories and Monte Carlo simulations. It
is found that at low and intermediate values of the bulk total number density
the more concentrated bulk species is preferentially absorbed by the pore, as
expected. However, further increments of the bulk number density lead to an
abrupt population inversion in the confined fluid and an entropy driven
prewetting transition at the outside wall of the pore. These phenomena are a
function of the pore size, the non-additivity parameter, the bulk number
density, and particles relative number fraction. We discuss our results in
relation to the phase separation in the bulk.
| cond-mat.stat-mech cond-mat.soft | a cylindrical nanopore immersed in a nonadditive hard sphere binary fluid is studied by means of integral equation theories and monte carlo simulations it is found that at low and intermediate values of the bulk total number density the more concentrated bulk species is preferentially absorbed by the pore as expected however further increments of the bulk number density lead to an abrupt population inversion in the confined fluid and an entropy driven prewetting transition at the outside wall of the pore these phenomena are a function of the pore size the nonadditivity parameter the bulk number density and particles relative number fraction we discuss our results in relation to the phase separation in the bulk | [['a', 'cylindrical', 'nanopore', 'immersed', 'in', 'a', 'nonadditive', 'hard', 'sphere', 'binary', 'fluid', 'is', 'studied', 'by', 'means', 'of', 'integral', 'equation', 'theories', 'and', 'monte', 'carlo', 'simulations', 'it', 'is', 'found', 'that', 'at', 'low', 'and', 'intermediate', 'values', 'of', 'the', 'bulk', 'total', 'number', 'density', 'the', 'more', 'concentrated', 'bulk', 'species', 'is', 'preferentially', 'absorbed', 'by', 'the', 'pore', 'as', 'expected', 'however', 'further', 'increments', 'of', 'the', 'bulk', 'number', 'density', 'lead', 'to', 'an', 'abrupt', 'population', 'inversion', 'in', 'the', 'confined', 'fluid', 'and', 'an', 'entropy', 'driven', 'prewetting', 'transition', 'at', 'the', 'outside', 'wall', 'of', 'the', 'pore', 'these', 'phenomena', 'are', 'a', 'function', 'of', 'the', 'pore', 'size', 'the', 'nonadditivity', 'parameter', 'the', 'bulk', 'number', 'density', 'and', 'particles', 'relative', 'number', 'fraction', 'we', 'discuss', 'our', 'results', 'in', 'relation', 'to', 'the', 'phase', 'separation', 'in', 'the', 'bulk']] | [-0.12467055566481451, 0.24413241758959664, -0.07197759027496495, 0.02559775386130084, 0.004299125198579939, -0.07591592609994756, 0.037535486008233296, 0.3421488259678128, -0.26622086171871695, -0.34163169617411393, 0.041893059861493005, -0.29549573280784336, -0.08956180822208588, 0.1263169378989601, -0.005805743472843334, 0.04544845130407464, -0.0011039320620354906, 0.008810092165166962, -0.07035258206025023, -0.1794067861608647, 0.2610455722536025, 0.06705470368314277, 0.2659162951488819, 0.059027899653301574, 0.05039433623786518, -0.024125174205782342, 0.02349333109831887, 0.10116210035530143, -0.2010804508908191, 0.055564125261173165, 0.21459601863271333, -0.02126053841142305, 0.23637669633497918, -0.4469136602951792, -0.24242760831939764, 0.0775180303728497, 0.14249318201046693, 0.07943937004190581, -0.06439291529123098, -0.22938531410683685, 0.01772482289756038, -0.17125540286912744, -0.16069941196173174, 0.00293242508858635, 0.054271400625143074, 0.019786236096165498, -0.20176973079776808, 0.15650996001605907, 0.022865295777780282, 0.023920061315634643, -0.06257290720682719, -0.11847069356108791, -0.09058453525408525, 0.0714484270358988, 0.07883935407354047, 0.027563146076662916, 0.2319427820380199, -0.16992001643992463, -0.006334137147420953, 0.3391969056543091, -0.03423234630087069, -0.215080459650349, 0.21834450074599993, -0.18377018795380817, -0.06780185295541867, 0.2523838525100065, 0.14009484876717987, 0.1324681622851319, -0.10192235548787847, 0.06815303088158794, -0.027543421705245395, 0.1861098647726788, 0.05782710684158293, -0.01958776617037325, 0.2560272189820635, 0.15562579645132968, 0.028662498088971037, 0.19197791077172513, -0.1408528099358403, -0.1356009089845586, -0.30069902393131936, -0.2066315193259125, -0.24494085090780823, 0.017547683579574244, -0.15065951096114766, -0.19574638079161402, 0.29383119153147885, 0.08544845185051914, 0.1916546754454712, 0.027686928703995615, 0.2427900558185025, 0.11475442429293943, 0.03992772161366482, 0.07328888243626289, 0.24314584154314522, 0.1663777424415959, 0.09867303475942302, -0.2631062110926121, 0.07495306756403618, 0.058367180611922184] |
709.2184 | Irrationality measure and lower bounds for pi(x) | In this note we show how the irrationality measure of $\zeta(s) = \pi^2/6$
can be used to obtain explicit lower bounds for $\pi(x)$. We analyze the key
ingredients of the proof of the finiteness of the irrationality measure, and
show how to obtain good lower bounds for $\pi(x)$ from these arguments as well.
While versions of some of the results here have been done by other authors, our
arguments are more elementary and yield a lower bound of order $x/\log x$ as a
natural boundary.
| math.NT | in this note we show how the irrationality measure of zetas pi26 can be used to obtain explicit lower bounds for pix we analyze the key ingredients of the proof of the finiteness of the irrationality measure and show how to obtain good lower bounds for pix from these arguments as well while versions of some of the results here have been done by other authors our arguments are more elementary and yield a lower bound of order xlog x as a natural boundary | [['in', 'this', 'note', 'we', 'show', 'how', 'the', 'irrationality', 'measure', 'of', 'zetas', 'pi26', 'can', 'be', 'used', 'to', 'obtain', 'explicit', 'lower', 'bounds', 'for', 'pix', 'we', 'analyze', 'the', 'key', 'ingredients', 'of', 'the', 'proof', 'of', 'the', 'finiteness', 'of', 'the', 'irrationality', 'measure', 'and', 'show', 'how', 'to', 'obtain', 'good', 'lower', 'bounds', 'for', 'pix', 'from', 'these', 'arguments', 'as', 'well', 'while', 'versions', 'of', 'some', 'of', 'the', 'results', 'here', 'have', 'been', 'done', 'by', 'other', 'authors', 'our', 'arguments', 'are', 'more', 'elementary', 'and', 'yield', 'a', 'lower', 'bound', 'of', 'order', 'xlog', 'x', 'as', 'a', 'natural', 'boundary']] | [-0.07398819355044647, 0.07756780636762935, -0.18166081649473026, 0.15535444109229415, -0.04689676615609122, -0.11797698469655145, 0.09080102509774622, 0.297917883044907, -0.21541813756560996, -0.3317376016195686, 0.1335844517660527, -0.2643511277856305, -0.15233454820104053, 0.2825716317276515, -0.11254107656644746, 0.061495557150226976, -0.004920182655388046, 0.06786674214527011, -0.06410598175300818, -0.3021651250531986, 0.31493746362892644, 0.002530802329558702, 0.2133583886759533, 0.14768348031100773, 0.04270223300305328, -0.06656316556923446, -0.012732797668182425, -0.03266609465659019, -0.24224945067960238, 0.1770535170521942, 0.24252649529704026, 0.13160660852667033, 0.2251119179584618, -0.4051019128278962, -0.13469366560734453, 0.11279577005743271, 0.1613136299330065, 0.058280439468078496, -0.020801753308270627, -0.23851752168099796, 0.13705062084565206, -0.13545909795599678, -0.15168825206014194, -0.12997084472417123, 0.0158585951042672, 0.08610907931454546, -0.26988054082418483, 0.05296709017074179, 0.11934994426251035, 0.06513181987351604, -0.021693933698337615, -0.208273125601755, 0.021790062038538355, 0.14027684071611257, 0.1065845070683974, 0.028170595522082988, 0.05295877824980943, -0.09431369724361935, -0.11924867136847406, 0.3437604059997414, -0.09259795700615671, -0.20084432636698088, 0.15994439878323602, -0.15382662369492686, -0.16172383773318005, 0.06776739677436472, 0.13716094898215184, 0.15587927181124023, -0.08834660849312231, 0.08651155162286679, -0.11369419126588452, 0.14731971396222002, 0.10483378187997178, 0.09515793957481426, 0.08395229142514013, 0.08334230153732711, 0.10093111122703358, 0.1546791822869896, -0.01093581232098153, -0.0188812651848864, -0.3498050513278161, -0.21788961519944547, -0.19585484806780837, 0.09638131105817765, -0.10896522017338568, -0.10882179642794654, 0.3302134512701914, 0.16598315114000192, 0.22418019980458276, 0.13785494070145346, 0.26010439079254866, 0.17278435324468383, 0.002773913352506324, 0.02961216018801289, 0.2095851599854844, 0.13557604362445308, 0.015754164088450904, -0.1096809224663524, 0.08750427299777844, 0.13517414358267116] |
709.2185 | Charmed signatures for phase transitions in heavy-ion collisions | The interplay of charmonium production and suppression in In+In and Pb+Pb
reactions at 158 AGeV and in Au+Au reactions at sqrt(s)=200 GeV is investigated
with the HSD transport approach within the `hadronic comover model' and the
`QGP melting scenario'. The results for the J/Psi suppression and the Psi' to
J/Psi ratio are compared to the recent data of the NA50, NA60, and PHENIX
Collaborations. We find that, at 158 AGeV, the comover absorption model
performs better than the scenario of abrupt threshold melting. However, neither
interaction with hadrons alone nor simple color screening satisfactory
describes the data at sqrt(s)=200 GeV. A deconfined phase is clearly reached at
RHIC, but a theory having the relevant degrees of freedom in this regime
(strongly interacting quarks/gluons) is needed to study its transport
properties.
| nucl-th hep-ph | the interplay of charmonium production and suppression in inin and pbpb reactions at 158 agev and in auau reactions at sqrts200 gev is investigated with the hsd transport approach within the hadronic comover model and the qgp melting scenario the results for the jpsi suppression and the psi to jpsi ratio are compared to the recent data of the na50 na60 and phenix collaborations we find that at 158 agev the comover absorption model performs better than the scenario of abrupt threshold melting however neither interaction with hadrons alone nor simple color screening satisfactory describes the data at sqrts200 gev a deconfined phase is clearly reached at rhic but a theory having the relevant degrees of freedom in this regime strongly interacting quarksgluons is needed to study its transport properties | [['the', 'interplay', 'of', 'charmonium', 'production', 'and', 'suppression', 'in', 'inin', 'and', 'pbpb', 'reactions', 'at', '158', 'agev', 'and', 'in', 'auau', 'reactions', 'at', 'sqrts200', 'gev', 'is', 'investigated', 'with', 'the', 'hsd', 'transport', 'approach', 'within', 'the', 'hadronic', 'comover', 'model', 'and', 'the', 'qgp', 'melting', 'scenario', 'the', 'results', 'for', 'the', 'jpsi', 'suppression', 'and', 'the', 'psi', 'to', 'jpsi', 'ratio', 'are', 'compared', 'to', 'the', 'recent', 'data', 'of', 'the', 'na50', 'na60', 'and', 'phenix', 'collaborations', 'we', 'find', 'that', 'at', '158', 'agev', 'the', 'comover', 'absorption', 'model', 'performs', 'better', 'than', 'the', 'scenario', 'of', 'abrupt', 'threshold', 'melting', 'however', 'neither', 'interaction', 'with', 'hadrons', 'alone', 'nor', 'simple', 'color', 'screening', 'satisfactory', 'describes', 'the', 'data', 'at', 'sqrts200', 'gev', 'a', 'deconfined', 'phase', 'is', 'clearly', 'reached', 'at', 'rhic', 'but', 'a', 'theory', 'having', 'the', 'relevant', 'degrees', 'of', 'freedom', 'in', 'this', 'regime', 'strongly', 'interacting', 'quarksgluons', 'is', 'needed', 'to', 'study', 'its', 'transport', 'properties']] | [-0.05391822842021401, 0.2402962693066981, -0.18596043918066874, 0.11770418115640775, 0.030498027126304804, -0.12731411155098332, -0.004405027326160612, 0.3597628748187652, -0.17151334596654544, -0.2834441050313986, -0.09916644213864437, -0.40670591493925223, 0.05870956609455439, 0.10145884645171463, 0.08614269691841821, 0.07014627123851544, 0.1292034295709947, 0.005595624814920414, -0.03494442701160621, -0.18073004032843387, 0.2640825257367956, 0.13372181391056914, 0.26429665327752727, 0.24158154167816975, 0.02537351221455118, 0.034088216367392586, 0.02875359644083521, -0.02926568492100789, -0.15823331850501396, 0.010732902865856885, 0.28593540711803006, 0.03221401787327172, 0.11573291725407427, -0.3239559746777209, -0.18068826229383167, 0.1066484925372956, 0.1162325121426525, 0.08212319631845905, -0.05196178471311354, -0.2476716114494663, 0.12323228988366632, -0.21577793715808255, -0.12566418553380151, -0.035456506041093516, -0.02763899928675248, -0.04728242547179644, -0.3321414140268014, 0.17728772751378039, -0.05182698792419754, 0.10821914746820067, -0.02584652994813111, -0.17646136636702486, -0.06855897795086584, -0.022850964959854118, 0.038201693534994356, 0.14177266373657263, 0.21165935503533825, -0.17216565815122942, -0.16297610286050118, 0.43211978510595284, -0.007588781923830258, -0.07644455582619859, 0.23372337652656894, -0.24333239442024093, -0.14124441934176363, 0.1965107070120911, 0.19940883310225146, 0.08362315483391285, -0.21014003568561748, 0.018773838113814306, 0.0012505102938470932, 0.18302054852068136, 0.06868978080590471, 0.06011843216032363, 0.1713131953460666, 0.2500726655447999, -0.07480433067450157, 0.056751874477889104, -0.07759863547980786, -0.12592235206124874, -0.39110500333973997, -0.02546441973043749, -0.09602113937009843, 0.019977082505871435, -0.05996677592025103, -0.006143858710017342, 0.37305399720700316, 0.11844580847537145, 0.262734885689301, -0.02237382285977499, 0.3070176720332641, 0.06435181713806322, 0.021248464218269175, 0.12484745896027352, 0.31252350707610066, 0.15394264545578223, 0.24781642916540686, -0.2996141025330871, 0.06031613723607734, 0.010366749124995505] |
709.2186 | D-Terms from Generalized NS-NS Fluxes in Type II | Orientifolds of type II string theory admit a certain set of generalized
NS-NS fluxes, including not only the three-form field strength H, but also
metric and non-geometric fluxes, which are related to H by T-duality. We
describe in general how these fluxes appear as parameters of an effective N=1
supergravity theory in four dimensions, and in particular how certain
generalized NS-NS fluxes can act as charges for R-R axions, leading to D-term
contributions to the effective scalar potential. We illustrate these phenomena
in type IIB with the example of a certain orientifold of T^6/Z_4.
| hep-th | orientifolds of type ii string theory admit a certain set of generalized nsns fluxes including not only the threeform field strength h but also metric and nongeometric fluxes which are related to h by tduality we describe in general how these fluxes appear as parameters of an effective n1 supergravity theory in four dimensions and in particular how certain generalized nsns fluxes can act as charges for rr axions leading to dterm contributions to the effective scalar potential we illustrate these phenomena in type iib with the example of a certain orientifold of t6z_4 | [['orientifolds', 'of', 'type', 'ii', 'string', 'theory', 'admit', 'a', 'certain', 'set', 'of', 'generalized', 'nsns', 'fluxes', 'including', 'not', 'only', 'the', 'threeform', 'field', 'strength', 'h', 'but', 'also', 'metric', 'and', 'nongeometric', 'fluxes', 'which', 'are', 'related', 'to', 'h', 'by', 'tduality', 'we', 'describe', 'in', 'general', 'how', 'these', 'fluxes', 'appear', 'as', 'parameters', 'of', 'an', 'effective', 'n1', 'supergravity', 'theory', 'in', 'four', 'dimensions', 'and', 'in', 'particular', 'how', 'certain', 'generalized', 'nsns', 'fluxes', 'can', 'act', 'as', 'charges', 'for', 'rr', 'axions', 'leading', 'to', 'dterm', 'contributions', 'to', 'the', 'effective', 'scalar', 'potential', 'we', 'illustrate', 'these', 'phenomena', 'in', 'type', 'iib', 'with', 'the', 'example', 'of', 'a', 'certain', 'orientifold', 'of', 't6z_4']] | [-0.12487632784521788, 0.18094719486121433, 0.013109451380147729, 0.17279189945228637, -0.12160185311910926, -0.18749364700809282, 0.009332592296163721, 0.32609202762344675, -0.16578216638456109, -0.3229019089692062, 0.07912919304824324, -0.22537632853353537, -0.19761705402565258, 0.15950827885379074, -0.1232401915896003, -0.05776129943388764, -0.02941824512816565, 0.06815653412492685, -0.07541938421506715, -0.31171998495901987, 0.35231845141939255, -0.022091139721313633, 0.22670141851869963, 0.03331927971173358, 0.06242207640040946, -0.06812650329803907, -0.04119930622638554, 0.05067503969034841, -0.10718019622569261, 0.10372668514228477, 0.22683258432774775, 0.0947102799070298, 0.05773978320861696, -0.4754930723618756, -0.23360033508550415, 0.1419095833114879, 0.1810447678260345, 0.13067136342281735, 0.0061197275075540744, -0.24321217133954007, 0.024290888029481133, -0.18053551863438339, -0.1694685155225377, -0.11871787259775785, 0.04108269219862558, 0.03335693352405102, -0.2557155286482665, 0.04383729384136787, -0.0026172583732473596, -0.006754174568159606, -0.07770081286278543, -0.08530480950389818, -0.09836194470715058, 0.058821501435651895, 0.15266035419578353, 0.051136558329666494, 0.1284934533409454, -0.19596920586541616, -0.15266701628288795, 0.3565796485661419, -0.10023791171730526, -0.25350866792723536, 0.1287609423680972, -0.08108886688827507, -0.20323670818720774, 0.12469400446461414, 0.09272598859763914, 0.1801354638047351, -0.1569035657511283, 0.20520672648619379, 0.02921329984461428, 0.0668255526532409, 0.07950333655331164, 0.08377019476999219, 0.26609849422088555, 0.03968620695604352, 0.04075612529288597, 0.08471668228226643, -0.0801316519538241, -0.06839891387930801, -0.48436156908671063, -0.07684024942097484, -0.030975641059358756, 0.18155694963496244, -0.16129999636310674, -0.22025741175598196, 0.36666010616607564, 0.08397851083728095, 0.14313731867299284, -0.003139167762441581, 0.13557354357814597, 0.0875297683225106, 0.07227180569723088, 0.025585847726512338, 0.2578572136179734, 0.16389809653253085, 0.07400145381689072, -0.2348521403237296, -0.1582331353334099, 0.18130176677618937] |
709.2187 | Manipulating atoms in an optical lattice: Fractional fermion number and
its optical quantum measurement | We provide a detailed analysis of our previously proposed scheme [Phys. Rev.
Lett. 88, 180401, (2002)] to engineer the profile of the hopping amplitudes for
atomic gases in a 1D optical lattice so that the particle number becomes
fractional. We consider a constructed system of a dilute two-species gas of
fermionic atoms where the two components are coupled via a coherent
electromagnetic field with a topologically nontrivial phase profile. We show
both analytically and numerically how the resulting atomic Hamiltonian in a
prepared dimerized optical lattice with a defect in the pattern of alternating
hopping amplitudes exhibits a fractional fermion number. In particular, in the
low-energy limit we demonstrate the equivalence of the atomic Hamiltonian to a
relativistic Dirac Hamiltonian describing fractionalization in quantum field
theory. Expanding on our earlier argument [Phys. Rev. Lett. 91, 150404 (2003)]
we show how the fractional eigenvalues of the particle number operator can be
detected via light scattering. In particular, we show how scattering of far-off
resonant light can convey information about the counting statistics of the
atoms in an optical lattice, including state-selective atom density profiles
and atom number fluctuations. Optical detection could provide a truly quantum
mechanical measurement of the particle number fractionalization in a dilute
atomic gas.
| cond-mat.other cond-mat.str-el hep-ph hep-th quant-ph | we provide a detailed analysis of our previously proposed scheme phys rev lett 88 180401 2002 to engineer the profile of the hopping amplitudes for atomic gases in a 1d optical lattice so that the particle number becomes fractional we consider a constructed system of a dilute twospecies gas of fermionic atoms where the two components are coupled via a coherent electromagnetic field with a topologically nontrivial phase profile we show both analytically and numerically how the resulting atomic hamiltonian in a prepared dimerized optical lattice with a defect in the pattern of alternating hopping amplitudes exhibits a fractional fermion number in particular in the lowenergy limit we demonstrate the equivalence of the atomic hamiltonian to a relativistic dirac hamiltonian describing fractionalization in quantum field theory expanding on our earlier argument phys rev lett 91 150404 2003 we show how the fractional eigenvalues of the particle number operator can be detected via light scattering in particular we show how scattering of faroff resonant light can convey information about the counting statistics of the atoms in an optical lattice including stateselective atom density profiles and atom number fluctuations optical detection could provide a truly quantum mechanical measurement of the particle number fractionalization in a dilute atomic gas | [['we', 'provide', 'a', 'detailed', 'analysis', 'of', 'our', 'previously', 'proposed', 'scheme', 'phys', 'rev', 'lett', '88', '180401', '2002', 'to', 'engineer', 'the', 'profile', 'of', 'the', 'hopping', 'amplitudes', 'for', 'atomic', 'gases', 'in', 'a', '1d', 'optical', 'lattice', 'so', 'that', 'the', 'particle', 'number', 'becomes', 'fractional', 'we', 'consider', 'a', 'constructed', 'system', 'of', 'a', 'dilute', 'twospecies', 'gas', 'of', 'fermionic', 'atoms', 'where', 'the', 'two', 'components', 'are', 'coupled', 'via', 'a', 'coherent', 'electromagnetic', 'field', 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709.2188 | L^p-estimates for the wave equation associated to the Grushin operator | Let G:=-((d/dx)^2+x^2(d/du)^2) denote the Grusin operator on R^2. Consider
the Cauchy problem for the associated wave equation on R x R^2, given by
((d/dt)^2+G)v =0, v(0,.)=f, d/dt v(0,.)=g, where t denotes time and f, g are
suitable functions. The focus of this thesis lies on smoothness properties of
the solution v for fixed time t with respect to the initial data. Smoothness
can be measured in terms of Sobolev norms
|f|_Lp^\alpha:=|(1+G)^{\alpha/2}f|_Lp, defined in terms of the differential
operator G. Let S_C denote the strip S_C:={(x,u) in R^2, |x|<=C} in R^2. We
prove that for 1<=p<=\infty the solution v is in L_p^{-\alpha} if our initial
data f and g are Lp-functions supported in a fixed strip S_C, C>0, and if
\alpha>|1/p-1/2| holds. In fact, we show that for every C>0 the operator
\exp(itG^{1/2})(1+G)^{-\alpha/2}, defined for Schwartz functions, extends to a
bounded operator from Lp(S_C) to Lp(R^2) for all \alpha>|1/p-1/2|.
| math.AP math.SP | let gddx2x2ddu2 denote the grusin operator on r2 consider the cauchy problem for the associated wave equation on r x r2 given by ddt2gv 0 v0f ddt v0g where t denotes time and f g are suitable functions the focus of this thesis lies on smoothness properties of the solution v for fixed time t with respect to the initial data smoothness can be measured in terms of sobolev norms f_lpalpha1galpha2f_lp defined in terms of the differential operator g let s_c denote the strip s_cxu in r2 xc in r2 we prove that for 1pinfty the solution v is in l_palpha if our initial data f and g are lpfunctions supported in a fixed strip s_c c0 and if alpha1p12 holds in fact we show that for every c0 the operator expitg121galpha2 defined for schwartz functions extends to a bounded operator from lps_c to lpr2 for all alpha1p12 | [['let', 'gddx2x2ddu2', 'denote', 'the', 'grusin', 'operator', 'on', 'r2', 'consider', 'the', 'cauchy', 'problem', 'for', 'the', 'associated', 'wave', 'equation', 'on', 'r', 'x', 'r2', 'given', 'by', 'ddt2gv', '0', 'v0f', 'ddt', 'v0g', 'where', 't', 'denotes', 'time', 'and', 'f', 'g', 'are', 'suitable', 'functions', 'the', 'focus', 'of', 'this', 'thesis', 'lies', 'on', 'smoothness', 'properties', 'of', 'the', 'solution', 'v', 'for', 'fixed', 'time', 't', 'with', 'respect', 'to', 'the', 'initial', 'data', 'smoothness', 'can', 'be', 'measured', 'in', 'terms', 'of', 'sobolev', 'norms', 'f_lpalpha1galpha2f_lp', 'defined', 'in', 'terms', 'of', 'the', 'differential', 'operator', 'g', 'let', 's_c', 'denote', 'the', 'strip', 's_cxu', 'in', 'r2', 'xc', 'in', 'r2', 'we', 'prove', 'that', 'for', '1pinfty', 'the', 'solution', 'v', 'is', 'in', 'l_palpha', 'if', 'our', 'initial', 'data', 'f', 'and', 'g', 'are', 'lpfunctions', 'supported', 'in', 'a', 'fixed', 'strip', 's_c', 'c0', 'and', 'if', 'alpha1p12', 'holds', 'in', 'fact', 'we', 'show', 'that', 'for', 'every', 'c0', 'the', 'operator', 'expitg121galpha2', 'defined', 'for', 'schwartz', 'functions', 'extends', 'to', 'a', 'bounded', 'operator', 'from', 'lps_c', 'to', 'lpr2', 'for', 'all', 'alpha1p12']] | [-0.18581087805031643, 0.0801708410106545, -0.034967640448823896, 0.003897145662429559, -0.0337077631703476, -0.1356812461965928, -0.020606300259947124, 0.3256811279069333, -0.30215790519749164, -0.17016131233595597, 0.09646037504855326, -0.3221607596824204, -0.06075062843066824, 0.18897087454632686, -0.09020201775863984, 0.04151877858777986, 0.0393199652270244, 0.1121239118944228, -0.10957635328833042, -0.21584948239487725, 0.3774515778424531, -0.0944180419722939, 0.15292494835155288, 0.07031560922381434, 0.08592232374345245, -0.005833102974795947, 0.015711691872944144, -0.0030842372564680496, -0.2139491754653906, 0.04779011783840978, 0.2525976436674921, 0.12394121587854287, 0.3109358631781418, -0.3655273765280935, -0.19227262611337767, 0.2086482535523828, 0.13020983626590157, -0.11217037156686513, 0.011267929173917612, -0.26902455534279535, 0.1587270464574796, -0.06374961663934871, -0.1620653194959962, -0.022626283457910602, 0.15851472514294032, 0.06880632503107734, -0.37060593401700476, 0.07730969141516154, 0.07815501163203786, 0.021264098568719192, -0.09485870286020158, -0.1482265632715158, -0.09497940552040228, 0.03794613996619209, -0.0012165734427131332, 0.17279559283952373, 0.04161603074906611, -0.07469426584769938, -0.028647826212954565, 0.370094295849439, -0.1398245817794716, -0.2559903158405184, 0.05453409976071005, -0.23523940518158523, -0.10507152527638704, 0.023787042540736006, 0.1283767501004448, 0.19608939623963223, -0.04843850971546269, 0.2864958356006282, -0.053688059995918753, 0.11397578550951325, 0.08345334082298035, 0.015158719838644466, 0.0684516966635239, 0.08002668989050699, 0.14078552307166758, 0.12289099488917221, -0.007972429982763818, -0.0029518103437756534, -0.4069491658006271, -0.13489595814574049, -0.22358257955460245, 0.09307260952418735, -0.12955368365584718, -0.16051526731356, 0.33777788330386155, 0.10670750604833673, 0.2131929025801755, 0.11890182879338734, 0.15139815211296082, 0.1549098851290076, 0.013026331330438817, 0.12456346767866154, 0.102900778847563, 0.13425097770030428, 0.05011271793789564, -0.1886419134068364, 0.051457048481097445, 0.16563960431977667] |
709.2189 | Graphs of Transportation Polytopes | This paper discusses properties of the graphs of 2-way and 3-way
transportation polytopes, in particular, their possible numbers of vertices and
their diameters. Our main results include a quadratic bound on the diameter of
axial 3-way transportation polytopes and a catalogue of non-degenerate
transportation polytopes of small sizes. The catalogue disproves five
conjectures about these polyhedra stated in the monograph by Yemelichev et al.
(1984). It also allowed us to discover some new results. For example, we prove
that the number of vertices of an $m\times n$ transportation polytope is a
multiple of the greatest common divisor of $m$ and $n$.
| math.CO | this paper discusses properties of the graphs of 2way and 3way transportation polytopes in particular their possible numbers of vertices and their diameters our main results include a quadratic bound on the diameter of axial 3way transportation polytopes and a catalogue of nondegenerate transportation polytopes of small sizes the catalogue disproves five conjectures about these polyhedra stated in the monograph by yemelichev et al 1984 it also allowed us to discover some new results for example we prove that the number of vertices of an mtimes n transportation polytope is a multiple of the greatest common divisor of m and n | [['this', 'paper', 'discusses', 'properties', 'of', 'the', 'graphs', 'of', '2way', 'and', '3way', 'transportation', 'polytopes', 'in', 'particular', 'their', 'possible', 'numbers', 'of', 'vertices', 'and', 'their', 'diameters', 'our', 'main', 'results', 'include', 'a', 'quadratic', 'bound', 'on', 'the', 'diameter', 'of', 'axial', '3way', 'transportation', 'polytopes', 'and', 'a', 'catalogue', 'of', 'nondegenerate', 'transportation', 'polytopes', 'of', 'small', 'sizes', 'the', 'catalogue', 'disproves', 'five', 'conjectures', 'about', 'these', 'polyhedra', 'stated', 'in', 'the', 'monograph', 'by', 'yemelichev', 'et', 'al', '1984', 'it', 'also', 'allowed', 'us', 'to', 'discover', 'some', 'new', 'results', 'for', 'example', 'we', 'prove', 'that', 'the', 'number', 'of', 'vertices', 'of', 'an', 'mtimes', 'n', 'transportation', 'polytope', 'is', 'a', 'multiple', 'of', 'the', 'greatest', 'common', 'divisor', 'of', 'm', 'and', 'n']] | [-0.17719015954528003, 0.08742597112097428, -0.03294456711038947, 0.025972662745043635, -0.07856424371711909, -0.10179589615669102, 0.08231334252166561, 0.3048839994892478, -0.26672879985533654, -0.3483441433822736, 0.09311843850882724, -0.3253098205663264, -0.1753537203418091, 0.16926005972316488, -0.15998222055844963, 0.05218484377488494, 0.06819687474286183, 0.014201576942577959, -0.014059779646922834, -0.3650053334794939, 0.3115027620270848, -0.01395408651791513, 0.18984700052067638, 0.10531047882745043, 0.08178373906295747, 0.016697005494497718, -0.03965127159433905, 0.031061376901343463, -0.19939591550304614, 0.19751793989446015, 0.2483054495602846, 0.1654639099468477, 0.2311290272884071, -0.3785993219725788, -0.10346790140029043, 0.14450553491245954, 0.1095715615527297, 0.04598755678161979, 0.013218183257849887, -0.21858587351161987, 0.0730053402169142, -0.1380095315957442, -0.2090999604156241, -0.010161610413342714, 0.09959507319610567, 0.04453972022049129, -0.23269455321133137, -0.00663116764073493, 0.12048872171435505, 0.08212274759076536, -0.008770114197395741, -0.2271217892318964, -0.04401228812290356, 0.10829187326831743, -0.002532405343372375, 0.004182466687634587, 0.0032816971326246856, -0.095923880005721, -0.1792498985491693, 0.3722961198538542, 0.0461887778621167, -0.16176784000359476, 0.15557938979007305, -0.13097914763260632, -0.1769688629359007, 0.09078426017891615, 0.20265854811295866, 0.17671207833860536, -0.12562177532352506, 0.08177728903712705, -0.1699126395303756, 0.08659418508410453, 0.16368507189676165, 0.04434467842103913, 0.15021072054631077, 0.10588726378744467, 0.12575118284672498, 0.16706157725304366, -0.03771620482206345, -0.06995457729208283, -0.29896663475374224, -0.17127420667151455, -0.23052218866534532, 0.09986480792867951, -0.16461023046111223, -0.1373695268202573, 0.34404767870903014, 0.09080517072230578, 0.19368751948233695, 0.11115039695985615, 0.20735879052430392, -0.02878605989157222, 0.03427572480868548, 0.1375576124014333, 0.17007725042902166, 0.18801285719731822, 0.03810790230054408, -0.14559483036864548, -0.000976176792755723, 0.09781895325053483] |
709.219 | White Dwarf Luminosity and Mass Functions from Sloan Digital Sky Survey
Spectra | We present the first phase in our ongoing work to use Sloan Digital Sky
Survey (SDSS) data to create separate white dwarf (WD) luminosity functions for
two or more different mass ranges. In this paper, we determine the completeness
of the SDSS spectroscopic white dwarf sample by comparing a proper-motion
selected sample of WDs from SDSS imaging data with a large catalog of
spectroscopically determined WDs. We derive a selection probability as a
function of a single color (g-i) and apparent magnitude (g) that covers the
range -1.0 < g-i < 0.2 and 15 < g < 19.5. We address the observed upturn in log
g for white dwarfs with Teff <~ 12,000K and offer arguments that the problem is
limited to the line profiles and is not present in the continuum. We offer an
empirical method of removing the upturn, recovering a reasonable mass function
for white dwarfs with Teff < 12,000K. Finally, we present a white dwarf
luminosity function with nearly an order of magnitude (3,358) more
spectroscopically confirmed white dwarfs than any previous work.
| astro-ph | we present the first phase in our ongoing work to use sloan digital sky survey sdss data to create separate white dwarf wd luminosity functions for two or more different mass ranges in this paper we determine the completeness of the sdss spectroscopic white dwarf sample by comparing a propermotion selected sample of wds from sdss imaging data with a large catalog of spectroscopically determined wds we derive a selection probability as a function of a single color gi and apparent magnitude g that covers the range 10 gi 02 and 15 g 195 we address the observed upturn in log g for white dwarfs with teff 12000k and offer arguments that the problem is limited to the line profiles and is not present in the continuum we offer an empirical method of removing the upturn recovering a reasonable mass function for white dwarfs with teff 12000k finally we present a white dwarf luminosity function with nearly an order of magnitude 3358 more spectroscopically confirmed white dwarfs than any previous work | [['we', 'present', 'the', 'first', 'phase', 'in', 'our', 'ongoing', 'work', 'to', 'use', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'data', 'to', 'create', 'separate', 'white', 'dwarf', 'wd', 'luminosity', 'functions', 'for', 'two', 'or', 'more', 'different', 'mass', 'ranges', 'in', 'this', 'paper', 'we', 'determine', 'the', 'completeness', 'of', 'the', 'sdss', 'spectroscopic', 'white', 'dwarf', 'sample', 'by', 'comparing', 'a', 'propermotion', 'selected', 'sample', 'of', 'wds', 'from', 'sdss', 'imaging', 'data', 'with', 'a', 'large', 'catalog', 'of', 'spectroscopically', 'determined', 'wds', 'we', 'derive', 'a', 'selection', 'probability', 'as', 'a', 'function', 'of', 'a', 'single', 'color', 'gi', 'and', 'apparent', 'magnitude', 'g', 'that', 'covers', 'the', 'range', '10', 'gi', '02', 'and', '15', 'g', '195', 'we', 'address', 'the', 'observed', 'upturn', 'in', 'log', 'g', 'for', 'white', 'dwarfs', 'with', 'teff', '12000k', 'and', 'offer', 'arguments', 'that', 'the', 'problem', 'is', 'limited', 'to', 'the', 'line', 'profiles', 'and', 'is', 'not', 'present', 'in', 'the', 'continuum', 'we', 'offer', 'an', 'empirical', 'method', 'of', 'removing', 'the', 'upturn', 'recovering', 'a', 'reasonable', 'mass', 'function', 'for', 'white', 'dwarfs', 'with', 'teff', '12000k', 'finally', 'we', 'present', 'a', 'white', 'dwarf', 'luminosity', 'function', 'with', 'nearly', 'an', 'order', 'of', 'magnitude', '3358', 'more', 'spectroscopically', 'confirmed', 'white', 'dwarfs', 'than', 'any', 'previous', 'work']] | [-0.030398887422818103, 0.07521956148084215, -0.061488957481992526, 0.08718565799505586, -0.1540102363858176, -0.04934087191158307, 0.1445909993980374, 0.4086317798634719, -0.10993352688015684, -0.3953568145295071, 0.03698878746605015, -0.369155283499923, -0.051619848570029374, 0.21642638138925646, -0.12130476427754681, -0.01780743088998031, 0.08109914633439995, -0.0880605682876364, -0.08075742439056437, -0.33718172887242154, 0.3321812720111522, 0.0010379397402904187, 0.1422457817726774, -0.10123728390640786, 0.06150275574076638, -0.053519093499611516, -0.123484195446955, -0.031021639142370626, -0.21803939466309197, -0.03459433912590952, 0.28306522006876983, 0.12617866266845612, 0.24148846321265427, -0.26315550378628266, -0.2129602605098796, 0.10962347259570719, 0.1781562979861397, 0.03849906252822376, -0.10239635945017972, -0.2440746855276653, 0.12975778142044767, -0.20529819390758985, -0.1422564578555764, 0.04121855874573104, 0.06083367170074312, 0.018631853993807793, -0.25886359244478835, 0.12310504742859922, 0.06944571802806523, 0.14149614482333786, -0.12562182871999264, -0.1569947445838663, -0.039774196430746665, 0.06795767895817452, -0.046606427050408045, 0.09509605541076424, 0.08684484626041257, -0.12102121338438875, 0.007375188400609451, 0.3537844060368738, -0.13237625582026907, 0.016849078813108903, 0.17453024932966235, -0.15713879509287074, -0.10125247406234082, 0.09223659696433235, 0.14345998563143364, 0.16802536511769225, -0.23403175247626173, -0.015532493350308454, -0.01937836898036018, 0.2236623209519911, 0.026916455496538278, 0.060023256921351, 0.2775205426036049, 0.15514229640449065, 0.05369657788926747, 0.09341283534702502, -0.2673648688833267, 0.04471243133125772, -0.24374528150809438, -0.07823813352761082, -0.1631494596200908, 0.09198315626928345, -0.11180622102141283, -0.16362288388374605, 0.3563495365336363, 0.17009040174259646, 0.2486113093545584, 0.09031946583901537, 0.321688303341667, 0.11139976421006198, 0.10169575452445108, 0.08615357382767642, 0.25296104186328877, 0.19137546079701673, 0.07842302804660292, -0.19768822584056148, -0.006013114239519451, -0.009123209313821722] |
709.2191 | On the Localized superluminal Solutions to the Maxwell Equations | In the first part of this article the various experimental sectors of physics
in which Superluminal motions seem to appear are briefly mentioned, after a
sketchy theoretical introduction. In particular, a panoramic view is presented
of the experiments with evanescent waves (and/or tunneling photons), and with
the "Localized superluminal Solutions" (SLS) to the wave equation, like the
so-called X-shaped waves. In the second part of this paper we present a series
of new SLSs to the Maxwell equations, suitable for arbitrary frequencies and
arbitrary bandwidths: some of them being endowed with finite total energy.
Among the others, we set forth an infinite family of generalizations of the
classic X-shaped wave; and show how to deal with the case of a dispersive
medium. Results of this kind may find application in other fields in which an
essential role is played by a wave-equation (like acoustics, seismology,
geophysics, gravitation, elementary particle physics, etc.). This e-print, in
large part a review, was prepared for the special issue on "Nontraditional
Forms of Light" of the IEEE JSTQE (2003); and a preliminary version of it
appeared as Report NSF-ITP-02-93 (KITP, UCSB; 2002). Further material can be
found in the recent e-prints arXiv:0708.1655v2 [physics.gen-ph] and
arXiv:0708.1209v1 [physics.gen-ph]. The case of the very interesting (and more
orthodox, in a sense) subluminal Localized Waves, solutions to the wave
equations, will be dealt with in a coming paper. [Keywords: Wave equation; Wave
propagation; Localized solutions to Maxwell equations; Superluminal waves;
Bessel beams; Limited-dispersion beams; Electromagnetic wavelets; X-shaped
waves; Finite-energy beams; Optics; Electromagnetism; Microwaves; Special
relativity]
| physics.class-ph physics.gen-ph physics.optics | in the first part of this article the various experimental sectors of physics in which superluminal motions seem to appear are briefly mentioned after a sketchy theoretical introduction in particular a panoramic view is presented of the experiments with evanescent waves andor tunneling photons and with the localized superluminal solutions sls to the wave equation like the socalled xshaped waves in the second part of this paper we present a series of new slss to the maxwell equations suitable for arbitrary frequencies and arbitrary bandwidths some of them being endowed with finite total energy among the others we set forth an infinite family of generalizations of the classic xshaped wave and show how to deal with the case of a dispersive medium results of this kind may find application in other fields in which an essential role is played by a waveequation like acoustics seismology geophysics gravitation elementary particle physics etc this eprint in large part a review was prepared for the special issue on nontraditional forms of light of the ieee jstqe 2003 and a preliminary version of it appeared as report nsfitp0293 kitp ucsb 2002 further material can be found in the recent eprints arxiv07081655v2 physicsgenph and arxiv07081209v1 physicsgenph the case of the very interesting and more orthodox in a sense subluminal localized waves solutions to the wave equations will be dealt with in a coming paper keywords wave equation wave propagation localized solutions to maxwell equations superluminal waves bessel beams limiteddispersion beams electromagnetic wavelets xshaped waves finiteenergy beams optics electromagnetism microwaves special relativity | [['in', 'the', 'first', 'part', 'of', 'this', 'article', 'the', 'various', 'experimental', 'sectors', 'of', 'physics', 'in', 'which', 'superluminal', 'motions', 'seem', 'to', 'appear', 'are', 'briefly', 'mentioned', 'after', 'a', 'sketchy', 'theoretical', 'introduction', 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709.2192 | Deepest Near-IR Surface Photometry of Galaxies in the Local Sphere of
Influence | We present near-IR, deep (4 mag deeper than 2MASS) imaging of 56 Local Volume
galaxies. Global parameters such as total magnitudes and stellar masses have
been derived and the new near-IR data combined with existing 21cm and optical
B-band data. We present multiwavelength relations such as the HI mass-to-light
ratio and investigate the maximum total baryonic mass a galaxy can have.
| astro-ph | we present nearir deep 4 mag deeper than 2mass imaging of 56 local volume galaxies global parameters such as total magnitudes and stellar masses have been derived and the new nearir data combined with existing 21cm and optical bband data we present multiwavelength relations such as the hi masstolight ratio and investigate the maximum total baryonic mass a galaxy can have | [['we', 'present', 'nearir', 'deep', '4', 'mag', 'deeper', 'than', '2mass', 'imaging', 'of', '56', 'local', 'volume', 'galaxies', 'global', 'parameters', 'such', 'as', 'total', 'magnitudes', 'and', 'stellar', 'masses', 'have', 'been', 'derived', 'and', 'the', 'new', 'nearir', 'data', 'combined', 'with', 'existing', '21cm', 'and', 'optical', 'bband', 'data', 'we', 'present', 'multiwavelength', 'relations', 'such', 'as', 'the', 'hi', 'masstolight', 'ratio', 'and', 'investigate', 'the', 'maximum', 'total', 'baryonic', 'mass', 'a', 'galaxy', 'can', 'have']] | [0.006917509586229676, 0.03785749473685368, -0.03672850293824907, 0.12330471892978569, -0.14463083357473866, -0.019634052874428817, 0.035551466345481696, 0.4759785643488657, -0.13697369416534413, -0.40449794339107686, 0.08015623774768815, -0.32628522996531156, -0.039553819186069435, 0.1733153102743882, -0.04891278080214731, 0.06740618707825903, 0.05419415949660613, -0.15798221543797705, -0.0916672036677721, -0.3186563945482256, 0.2590523477582658, 0.001350116255200758, 0.17615558521356434, -0.029064864614886828, 0.08284929051583052, -0.06906165440612641, -0.1727220879134829, -0.004871316559490611, -0.2392743486819453, 0.032297172568372036, 0.20702967783588855, 0.19391683754358502, 0.17469814752579713, -0.35195202581950874, -0.19520358965716889, 0.13091838396474964, 0.21154636801716672, 0.035563497575091536, -0.040686273325204116, -0.2613949556147955, 0.03331690768665466, -0.18528402512740405, -0.11335741075091675, -0.003153025722283809, 0.05548751035125041, 0.048225856805983625, -0.21660017099262016, 0.1901500083040446, -0.0811852967885674, 0.19409671911328544, -0.13764890900156537, -0.1849791046964829, -0.11782510453438172, 0.07563671071204495, -0.05528505560254953, 0.1084743126478718, 0.1679695581150867, -0.1849700324008333, 0.018797951093951208, 0.4003063553913695, -0.11043294403653356, 0.07844661154448375, 0.20212389076449222, -0.1420796923186691, -0.13441636969839207, 0.06573917762544311, 0.2138078858556806, 0.047542399856582526, -0.22098739378032137, 0.0062500850305144415, -0.05575648152467902, 0.2466855873582793, 0.012676627222509658, 0.16378588732890212, 0.3195540130226186, 0.1099667274545817, 0.06883888072563243, 0.04080197560795598, -0.3406174414128935, 0.06302138519488641, -0.1829956374207481, -0.07791402116112534, -0.12100524797111933, 0.13076161110743148, -0.21797557898747474, -0.049887193168406604, 0.34354088382154213, 0.1165372297457862, 0.2677830539216272, 0.14890070380948361, 0.3814132812692494, 0.11623400098216705, 0.18713686398428972, 0.09715580327253116, 0.39209162663729463, 0.17247839601802045, 0.1019567104331294, -0.21424259086612796, -0.009542736033985361, 0.013546257814178701] |
709.2193 | Radially Symmetric Nonlinear States of Harmonically Trapped
Bose-Einstein Condensates | Starting from the spectrum of the radially symmetric quantum harmonic
oscillator in two dimensions, we create a large set of nonlinear solutions. The
relevant three principal branches, with $n_r=0,1$ and 2 radial nodes
respectively, are systematically continued as a function of the chemical
potential and their linear stability is analyzed in detail, in the absence as
well as in the presence of topological charge $m$, i.e., vorticity. It is found
that for repulsive interatomic interactions {\it only} the ground state is {\it
linearly stable} throughout the parameter range examined. Furthermore, this is
true for topological charges $m=0$ or $m=1$; solutions with higher topological
charge can be unstable even in that case. All higher excited states are found
to be unstable in a wide parametric regime. However, for the
focusing/attractive case the ground state with $n_r=0$ and $m=0$ can only be
stable for a sufficiently low number of atoms. Once again, excited states are
found to be generically unstable. For unstable profiles, the dynamical
evolution of the corresponding branches is also followed to monitor the
temporal development of the instability.
| cond-mat.other | starting from the spectrum of the radially symmetric quantum harmonic oscillator in two dimensions we create a large set of nonlinear solutions the relevant three principal branches with n_r01 and 2 radial nodes respectively are systematically continued as a function of the chemical potential and their linear stability is analyzed in detail in the absence as well as in the presence of topological charge m ie vorticity it is found that for repulsive interatomic interactions it only the ground state is it linearly stable throughout the parameter range examined furthermore this is true for topological charges m0 or m1 solutions with higher topological charge can be unstable even in that case all higher excited states are found to be unstable in a wide parametric regime however for the focusingattractive case the ground state with n_r0 and m0 can only be stable for a sufficiently low number of atoms once again excited states are found to be generically unstable for unstable profiles the dynamical evolution of the corresponding branches is also followed to monitor the temporal development of the instability | [['starting', 'from', 'the', 'spectrum', 'of', 'the', 'radially', 'symmetric', 'quantum', 'harmonic', 'oscillator', 'in', 'two', 'dimensions', 'we', 'create', 'a', 'large', 'set', 'of', 'nonlinear', 'solutions', 'the', 'relevant', 'three', 'principal', 'branches', 'with', 'n_r01', 'and', '2', 'radial', 'nodes', 'respectively', 'are', 'systematically', 'continued', 'as', 'a', 'function', 'of', 'the', 'chemical', 'potential', 'and', 'their', 'linear', 'stability', 'is', 'analyzed', 'in', 'detail', 'in', 'the', 'absence', 'as', 'well', 'as', 'in', 'the', 'presence', 'of', 'topological', 'charge', 'm', 'ie', 'vorticity', 'it', 'is', 'found', 'that', 'for', 'repulsive', 'interatomic', 'interactions', 'it', 'only', 'the', 'ground', 'state', 'is', 'it', 'linearly', 'stable', 'throughout', 'the', 'parameter', 'range', 'examined', 'furthermore', 'this', 'is', 'true', 'for', 'topological', 'charges', 'm0', 'or', 'm1', 'solutions', 'with', 'higher', 'topological', 'charge', 'can', 'be', 'unstable', 'even', 'in', 'that', 'case', 'all', 'higher', 'excited', 'states', 'are', 'found', 'to', 'be', 'unstable', 'in', 'a', 'wide', 'parametric', 'regime', 'however', 'for', 'the', 'focusingattractive', 'case', 'the', 'ground', 'state', 'with', 'n_r0', 'and', 'm0', 'can', 'only', 'be', 'stable', 'for', 'a', 'sufficiently', 'low', 'number', 'of', 'atoms', 'once', 'again', 'excited', 'states', 'are', 'found', 'to', 'be', 'generically', 'unstable', 'for', 'unstable', 'profiles', 'the', 'dynamical', 'evolution', 'of', 'the', 'corresponding', 'branches', 'is', 'also', 'followed', 'to', 'monitor', 'the', 'temporal', 'development', 'of', 'the', 'instability']] | [-0.15122707000012847, 0.222693280662828, -0.042186929824807026, 0.07376282483958428, 0.0010931505834874274, -0.15029256098535948, 0.004344779409372925, 0.3439747247559188, -0.2519212766730396, -0.2561674751632381, 0.12102390534842429, -0.2773285389094698, -0.10544282265817112, 0.17729583664384502, 0.03777320749742847, 0.04169627871703018, 0.032543329765427516, 0.07277659090256995, -0.03358468619064132, -0.2169577750874768, 0.3325360740683126, -0.005294156010098628, 0.2518503082789142, 0.02100286492515641, 0.020910881035061637, -0.041870314212494784, 0.06215772457124496, 0.04308118169799193, -0.09846447748226307, 0.059653294581618284, 0.26971760689048097, 0.044681551853004334, 0.24006617473523048, -0.3940357579532164, -0.206779958010884, 0.10831577187425202, 0.171927325644488, 0.16726150303359397, -0.03209087354281854, -0.2647016184372743, 0.12608132671977562, -0.16491831429514356, -0.18670194585468958, -0.10710724952514283, 0.08718794428701089, 0.039072588365921875, -0.25718503431099554, 0.09249434942781094, 0.05011538161075309, 0.02622897003311664, -0.11545636856515723, -0.08952769107682715, -0.13541918520985002, 0.11983743513304614, 0.05144768185643691, 0.019331754248097157, 0.09359969980009324, -0.14087150496330156, -0.047523290864774026, 0.36847703371809487, -0.07160474277638555, -0.21302225558214227, 0.21065188442166385, -0.15941588413129051, -0.08344506922466363, 0.15953384152486583, 0.12558280991718426, 0.13770821191560986, -0.0774873935866212, 0.07557536462180989, 0.016749363064511934, 0.17405553187828363, 0.07998216123947217, 0.046974014568894, 0.23213172690355516, 0.12496167353079231, 0.0959165505324067, 0.14593605626512066, -0.07205283191499555, -0.11917771124651401, -0.2818588070963001, -0.1337985352517783, -0.178412045961357, 0.037908255067040125, -0.05112031155336312, -0.1711348946978846, 0.41153338902883907, 0.07385875984486616, 0.19534595002187416, -0.007047843553168191, 0.2499606338520111, 0.15412429565160643, 0.037786925890197214, 0.06177128031347159, 0.2924687829244332, 0.12939087381528225, 0.07854003413178196, -0.21375702168734279, 0.010986240667989478, 0.017243878085123884] |
709.2194 | Computing Solar Absolute Fluxes | Computed color indices and spectral shapes for individual stars are routinely
compared with observations for essentially all spectral types, but absolute
fluxes are rarely tested. We can confront observed irradiances with the
predictions from model atmospheres for a few stars with accurate angular
diameter measurements, notably the Sun. Previous calculations have been
hampered by inconsistencies and the use of outdated atomic data and abundances.
I provide here a progress report on our current efforts to compute absolute
fluxes for solar model photospheres. Uncertainties in the solar composition
constitute a significant source of error in computing solar radiative fluxes.
| astro-ph | computed color indices and spectral shapes for individual stars are routinely compared with observations for essentially all spectral types but absolute fluxes are rarely tested we can confront observed irradiances with the predictions from model atmospheres for a few stars with accurate angular diameter measurements notably the sun previous calculations have been hampered by inconsistencies and the use of outdated atomic data and abundances i provide here a progress report on our current efforts to compute absolute fluxes for solar model photospheres uncertainties in the solar composition constitute a significant source of error in computing solar radiative fluxes | [['computed', 'color', 'indices', 'and', 'spectral', 'shapes', 'for', 'individual', 'stars', 'are', 'routinely', 'compared', 'with', 'observations', 'for', 'essentially', 'all', 'spectral', 'types', 'but', 'absolute', 'fluxes', 'are', 'rarely', 'tested', 'we', 'can', 'confront', 'observed', 'irradiances', 'with', 'the', 'predictions', 'from', 'model', 'atmospheres', 'for', 'a', 'few', 'stars', 'with', 'accurate', 'angular', 'diameter', 'measurements', 'notably', 'the', 'sun', 'previous', 'calculations', 'have', 'been', 'hampered', 'by', 'inconsistencies', 'and', 'the', 'use', 'of', 'outdated', 'atomic', 'data', 'and', 'abundances', 'i', 'provide', 'here', 'a', 'progress', 'report', 'on', 'our', 'current', 'efforts', 'to', 'compute', 'absolute', 'fluxes', 'for', 'solar', 'model', 'photospheres', 'uncertainties', 'in', 'the', 'solar', 'composition', 'constitute', 'a', 'significant', 'source', 'of', 'error', 'in', 'computing', 'solar', 'radiative', 'fluxes']] | [0.006091431298825357, 0.12516921108982962, -0.009687399700294695, 0.10719937279022165, -0.04178277041515982, -0.07465485913431918, 0.047698773971131564, 0.46766562980352616, -0.13099173104808648, -0.43616065782095703, 0.08901962580643974, -0.30488512811384033, -0.003845162114736681, 0.2313584637161753, -0.0894207336930368, 0.055112489062000294, 0.1490378459982042, -0.03369559842008594, -0.06986005450313797, -0.19368139075647509, 0.2446204854783659, 0.07982172146534586, 0.18833434393116255, 0.0030729082622090163, 0.02141500508997171, -0.13763520019414016, -0.1321600141687965, 0.021397915517920817, -0.14611707418938452, 0.1302986211922704, 0.23118014004537646, 0.1100140593076429, 0.14924439224319494, -0.4500299144669303, -0.2688953888882308, 0.07491277287980276, 0.14573928948529824, 0.08676382832761322, -0.08184659123368447, -0.21840592851026022, 0.03589642957584666, -0.132446046135203, -0.11777978918363093, -0.058490786460294784, 0.05647841674674835, 0.05233712220678524, -0.25296032250079575, 0.06051039924590886, -0.029477258020422746, 0.1458919526484518, -0.10490198000761851, -0.21516624607183799, -0.03714157531408555, 0.154689260055216, 0.032643496512663454, -0.009852810746191867, 0.12832701155661644, -0.1049922491727891, -0.09896363444835404, 0.40635105577886715, -0.10223884211511028, -0.10866416082479896, 0.16688583776050683, -0.17442333387039907, -0.17364145018521468, 0.1518461567216686, 0.1286263469967763, 0.11863690168520778, -0.17229981349819168, 0.0351027466186883, 0.01842136421046049, 0.16656365414976845, 0.017812422334159514, 0.07623069134198737, 0.28004149233504216, 0.1270958127605976, -0.014318044552798097, 0.002424022776777951, -0.19804875652201245, -0.05131416606398451, -0.23334585022708706, -0.08772232028408028, -0.12307826832663837, 0.05501594079173721, -0.07145287908274534, -0.13325231065688542, 0.3727150897837567, 0.20179104469051318, 0.19730486101660955, 0.050143191018331874, 0.34491167842809645, 0.08945501929776249, 0.0950760933836656, 0.09360196321670498, 0.3459040332699613, 0.1676901716059454, 0.10707751378578571, -0.22963237769816222, 0.10024789444227912, 0.01642976879921495] |
709.2195 | Can Old Galaxies at High Redshifts and Baryon Acoustic Oscillations
Constrain H_0? | A new age-redshift test is proposed in order to constrain $H_0$ with basis on
the existence of old high redshift galaxies (OHRG). As should be expected, the
estimates of $H_0$ based on the OHRG are heavily dependent on the cosmological
description. In the flat concordance model ($\Lambda$CDM), for example, the
value of $H_0$ depends on the mass density parameter $\Omega_M=1 -
\Omega_{\Lambda}$. Such a degeneracy can be broken trough a joint analysis
involving the OHRG and baryon acoustic oscillation (BAO) signature. In the
framework of the $\Lambda CDM$ model our joint analysis yields a value of
$H_0=71^{+4}_{-4}\kms$ Mpc$^{-1}$ ($1\sigma$) with the best fit density
parameter $\Omega_M=0.27\pm0.03$. Such results are in good agreement with
independent studies from the {\it{Hubble Space Telescope}} key project and the
recent estimates of WMAP, thereby suggesting that the combination of these two
independent phenomena provides an interesting method to constrain the Hubble
constant.
| astro-ph gr-qc | a new ageredshift test is proposed in order to constrain h_0 with basis on the existence of old high redshift galaxies ohrg as should be expected the estimates of h_0 based on the ohrg are heavily dependent on the cosmological description in the flat concordance model lambdacdm for example the value of h_0 depends on the mass density parameter omega_m1 omega_lambda such a degeneracy can be broken trough a joint analysis involving the ohrg and baryon acoustic oscillation bao signature in the framework of the lambda cdm model our joint analysis yields a value of h_0714_4kms mpc1 1sigma with the best fit density parameter omega_m027pm003 such results are in good agreement with independent studies from the ithubble space telescope key project and the recent estimates of wmap thereby suggesting that the combination of these two independent phenomena provides an interesting method to constrain the hubble constant | [['a', 'new', 'ageredshift', 'test', 'is', 'proposed', 'in', 'order', 'to', 'constrain', 'h_0', 'with', 'basis', 'on', 'the', 'existence', 'of', 'old', 'high', 'redshift', 'galaxies', 'ohrg', 'as', 'should', 'be', 'expected', 'the', 'estimates', 'of', 'h_0', 'based', 'on', 'the', 'ohrg', 'are', 'heavily', 'dependent', 'on', 'the', 'cosmological', 'description', 'in', 'the', 'flat', 'concordance', 'model', 'lambdacdm', 'for', 'example', 'the', 'value', 'of', 'h_0', 'depends', 'on', 'the', 'mass', 'density', 'parameter', 'omega_m1', 'omega_lambda', 'such', 'a', 'degeneracy', 'can', 'be', 'broken', 'trough', 'a', 'joint', 'analysis', 'involving', 'the', 'ohrg', 'and', 'baryon', 'acoustic', 'oscillation', 'bao', 'signature', 'in', 'the', 'framework', 'of', 'the', 'lambda', 'cdm', 'model', 'our', 'joint', 'analysis', 'yields', 'a', 'value', 'of', 'h_0714_4kms', 'mpc1', '1sigma', 'with', 'the', 'best', 'fit', 'density', 'parameter', 'omega_m027pm003', 'such', 'results', 'are', 'in', 'good', 'agreement', 'with', 'independent', 'studies', 'from', 'the', 'ithubble', 'space', 'telescope', 'key', 'project', 'and', 'the', 'recent', 'estimates', 'of', 'wmap', 'thereby', 'suggesting', 'that', 'the', 'combination', 'of', 'these', 'two', 'independent', 'phenomena', 'provides', 'an', 'interesting', 'method', 'to', 'constrain', 'the', 'hubble', 'constant']] | [-0.07670261502840679, 0.0811330595395041, -0.08461888180720015, 0.06877721094288636, -0.1324085874313658, -0.10153629267718513, 0.02428528752138877, 0.30991280489842166, -0.1703739643448612, -0.3324057228783458, 0.07903648848918925, -0.2717715343142944, -0.03337294625328411, 0.24158699620007115, 0.008725298671182114, 0.03161852055561397, 0.04608114768418815, -0.011437581272444108, -0.0640772423906198, -0.24504110637817766, 0.31055050366395315, 0.12596830154176464, 0.27604358375945187, -0.029315025721500805, 0.06805751460581574, -0.06197010132099886, -0.09365115897287127, 0.011724117150736998, -0.24038100262015605, 0.0868625044045234, 0.20912958620852054, 0.13518064369850913, 0.2252837386978725, -0.3090339327765095, -0.2259936022891344, 0.12369074102920982, 0.14921058111960864, 0.1095872979669773, -0.016829861246596474, -0.31136582495800996, 0.024458141988908572, -0.13458031843826695, -0.13210006739774888, -0.03862990892225212, -0.04706448435106061, 0.008975806860969616, -0.28950785228761133, 0.20693191102790562, -0.05527484417612945, 0.003997093034009417, -0.11022926776155413, -0.13824055607306895, -0.038092334851642116, 0.046017087959778866, 0.05888552719180088, 0.08365521461774524, 0.09694802273598897, -0.11180531065194653, -0.044522366405080456, 0.393303057765002, -0.14592915885003896, -0.12023754255728913, 0.12920439349637217, -0.16251622745899527, -0.17029402125301166, 0.04805533184142379, 0.13577466633926322, 0.017002403407220864, -0.08905862087800683, 0.1236049358503424, -0.0387790349525419, 0.23926814562165655, 0.02109813094269354, 0.011682269400687012, 0.2670824329427385, 0.16169547214062063, 0.08331202583976083, -0.006330659166890216, -0.10994086680946859, -0.02509330585924583, -0.3464339228828887, -0.09878752180016957, -0.18265269474465062, 0.05686700665978129, -0.1996411807162254, -0.1485323793144076, 0.3890645742006079, 0.14112021391104151, 0.2871070965453722, 0.0583582723682577, 0.29415138989322254, 0.08739303583539762, 0.04750183223538309, 0.033352372186076076, 0.2981613560390848, 0.12526622121922437, 0.02350349439034512, -0.22090158597370804, 0.06145938639643023, 0.020186283282115015] |
709.2196 | Bregman Voronoi Diagrams: Properties, Algorithms and Applications | The Voronoi diagram of a finite set of objects is a fundamental geometric
structure that subdivides the embedding space into regions, each region
consisting of the points that are closer to a given object than to the others.
We may define many variants of Voronoi diagrams depending on the class of
objects, the distance functions and the embedding space. In this paper, we
investigate a framework for defining and building Voronoi diagrams for a broad
class of distance functions called Bregman divergences. Bregman divergences
include not only the traditional (squared) Euclidean distance but also various
divergence measures based on entropic functions. Accordingly, Bregman Voronoi
diagrams allow to define information-theoretic Voronoi diagrams in statistical
parametric spaces based on the relative entropy of distributions. We define
several types of Bregman diagrams, establish correspondences between those
diagrams (using the Legendre transformation), and show how to compute them
efficiently. We also introduce extensions of these diagrams, e.g. k-order and
k-bag Bregman Voronoi diagrams, and introduce Bregman triangulations of a set
of points and their connexion with Bregman Voronoi diagrams. We show that these
triangulations capture many of the properties of the celebrated Delaunay
triangulation. Finally, we give some applications of Bregman Voronoi diagrams
which are of interest in the context of computational geometry and machine
learning.
| cs.CG | the voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into regions each region consisting of the points that are closer to a given object than to the others we may define many variants of voronoi diagrams depending on the class of objects the distance functions and the embedding space in this paper we investigate a framework for defining and building voronoi diagrams for a broad class of distance functions called bregman divergences bregman divergences include not only the traditional squared euclidean distance but also various divergence measures based on entropic functions accordingly bregman voronoi diagrams allow to define informationtheoretic voronoi diagrams in statistical parametric spaces based on the relative entropy of distributions we define several types of bregman diagrams establish correspondences between those diagrams using the legendre transformation and show how to compute them efficiently we also introduce extensions of these diagrams eg korder and kbag bregman voronoi diagrams and introduce bregman triangulations of a set of points and their connexion with bregman voronoi diagrams we show that these triangulations capture many of the properties of the celebrated delaunay triangulation finally we give some applications of bregman voronoi diagrams which are of interest in the context of computational geometry and machine learning | [['the', 'voronoi', 'diagram', 'of', 'a', 'finite', 'set', 'of', 'objects', 'is', 'a', 'fundamental', 'geometric', 'structure', 'that', 'subdivides', 'the', 'embedding', 'space', 'into', 'regions', 'each', 'region', 'consisting', 'of', 'the', 'points', 'that', 'are', 'closer', 'to', 'a', 'given', 'object', 'than', 'to', 'the', 'others', 'we', 'may', 'define', 'many', 'variants', 'of', 'voronoi', 'diagrams', 'depending', 'on', 'the', 'class', 'of', 'objects', 'the', 'distance', 'functions', 'and', 'the', 'embedding', 'space', 'in', 'this', 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709.2197 | Scalar and vector meson propagation in asymmetric nuclear matter | The propagation of the scalar (\sigma and \delta) and vector (\omega and
\rho) mesons in an iso-asymmetric nuclear matter is studied in detail, using
the Walecka model. We calculate the invariant masses and spectral functions of
the mesons, including the effect of meson mixing. At finite density, the mixing
effect is quite important in the propagation of the scalar and (longitudinal)
vector mesons. In the \sigma channel, we find a three-peak structure in the
spectral function, caused by the mixing effect.
| nucl-th astro-ph hep-ph nucl-ex | the propagation of the scalar sigma and delta and vector omega and rho mesons in an isoasymmetric nuclear matter is studied in detail using the walecka model we calculate the invariant masses and spectral functions of the mesons including the effect of meson mixing at finite density the mixing effect is quite important in the propagation of the scalar and longitudinal vector mesons in the sigma channel we find a threepeak structure in the spectral function caused by the mixing effect | [['the', 'propagation', 'of', 'the', 'scalar', 'sigma', 'and', 'delta', 'and', 'vector', 'omega', 'and', 'rho', 'mesons', 'in', 'an', 'isoasymmetric', 'nuclear', 'matter', 'is', 'studied', 'in', 'detail', 'using', 'the', 'walecka', 'model', 'we', 'calculate', 'the', 'invariant', 'masses', 'and', 'spectral', 'functions', 'of', 'the', 'mesons', 'including', 'the', 'effect', 'of', 'meson', 'mixing', 'at', 'finite', 'density', 'the', 'mixing', 'effect', 'is', 'quite', 'important', 'in', 'the', 'propagation', 'of', 'the', 'scalar', 'and', 'longitudinal', 'vector', 'mesons', 'in', 'the', 'sigma', 'channel', 'we', 'find', 'a', 'threepeak', 'structure', 'in', 'the', 'spectral', 'function', 'caused', 'by', 'the', 'mixing', 'effect']] | [-0.13274846544954927, 0.25270704414160716, -0.09982164677348919, 0.13253995462146123, -0.023733195039676504, -0.07330098812817595, 0.004637441970407963, 0.33154895235784354, -0.24921146646374837, -0.22878581846598536, -0.009726319242327008, -0.287068765074946, -0.10182141785335261, 0.06459247739549027, 0.10097942602587864, 0.08123232220532373, -0.012790394702460618, 0.09073515793425031, -0.10220029432093725, -0.13972074114572025, 0.38211037471191955, -0.007984358328394591, 0.21645742473192514, 0.13336401924607344, 0.06468506379169411, 0.04013976140413433, -0.04211064575938508, -0.03049834268167615, -0.12359743101405911, 0.03672005416592583, 0.1390620404010406, 0.0631174721638672, 0.1644206838827813, -0.3363898182287812, -0.2318362799240276, 0.12158466998371295, 0.15172441250178964, 0.0765076577779837, -0.03472515583271161, -0.3037356336833909, 0.07361920656403527, -0.1592298105591908, -0.12754393041250295, -0.0388393365428783, 0.030615799775114284, -0.0421584852039814, -0.3133872115380655, 0.1462332913244609, -0.020556639082496986, 0.05074647036381066, -0.061722225439734754, -0.20762188656954095, -0.05125826474686619, 0.03731832609628327, 0.10394541192945325, 0.07191568129346707, 0.12037318554939702, -0.19935238824691623, -0.04902284262061585, 0.4283543755649589, -0.1660702719120309, -0.2476821932301391, 0.08452387757788529, -0.21099429287351085, -0.0890423615463078, 0.09792733984068036, 0.2143720883934293, 0.08854790820623748, -0.12239068672133727, 0.13785694428588613, -0.03033533042325871, 0.14753399569308384, 0.05099062251101714, 0.07834814500529319, 0.16377922643441706, 0.17413049737224356, -0.029574979341123252, 0.10041846979293041, -0.11508814117405564, -0.067027677729493, -0.34322258695028723, -0.10841576289385557, -0.10897100576548838, 0.030949760403018445, -0.1064255328839863, -0.11661848678486422, 0.45727944117970765, 0.03966079091887877, 0.23167988019995392, -0.022243021964095534, 0.28710800809785725, 0.1476579813461285, 0.045770022395299745, 0.12006963737949264, 0.2859263657242991, 0.285768550488865, 0.11600290149217471, -0.32605684293666853, 0.011810214119032025, 0.005740540396072902] |
709.2198 | Anomalous optical transmission through a vortex lattice in a film of
type-II superconductor | We study the effect of anomalous optical transmission through an array of
vortices in a type-II superconducting film subjected to a strong magnetic
field. The mechanism responsible for this effect is resonance transmission
between two surface plasmon polaritons (SPP) in the system. The SPP band gap in
the system is studied as a function of magnetic field and temperature. Control
of transmission by varying magnetic field and/or temperature is analyzed.
| cond-mat.supr-con cond-mat.mes-hall | we study the effect of anomalous optical transmission through an array of vortices in a typeii superconducting film subjected to a strong magnetic field the mechanism responsible for this effect is resonance transmission between two surface plasmon polaritons spp in the system the spp band gap in the system is studied as a function of magnetic field and temperature control of transmission by varying magnetic field andor temperature is analyzed | [['we', 'study', 'the', 'effect', 'of', 'anomalous', 'optical', 'transmission', 'through', 'an', 'array', 'of', 'vortices', 'in', 'a', 'typeii', 'superconducting', 'film', 'subjected', 'to', 'a', 'strong', 'magnetic', 'field', 'the', 'mechanism', 'responsible', 'for', 'this', 'effect', 'is', 'resonance', 'transmission', 'between', 'two', 'surface', 'plasmon', 'polaritons', 'spp', 'in', 'the', 'system', 'the', 'spp', 'band', 'gap', 'in', 'the', 'system', 'is', 'studied', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'and', 'temperature', 'control', 'of', 'transmission', 'by', 'varying', 'magnetic', 'field', 'andor', 'temperature', 'is', 'analyzed']] | [-0.2632166300102004, 0.19403471973013697, -0.032827253267168996, 0.01986199398192444, -0.03248352198196309, -0.1391992956732533, 0.05513070777856878, 0.42187397935028587, -0.2561673642535295, -0.3240961986527379, 0.023230845708998717, -0.23701447629635888, -0.16539301920150007, 0.21981748931908182, 0.04789045175670513, 0.019954111187585763, -0.07892869056335518, -0.018296693192262736, 0.0023991593958011697, -0.14372610128817281, 0.3329530288797936, 0.04947845816080059, 0.36546336255435435, 0.11144921643925565, 0.046767384346042364, 0.032178893499076364, 0.10895053228097303, 0.030598265664385896, -0.1131539497657546, 0.024255395484422997, 0.18307192660868168, -0.08129763502760658, 0.2423899196088314, -0.448644681780466, -0.24046221304950968, 0.0216731316276959, 0.17400659447801964, 0.12510654962222492, -0.10234853774309158, -0.25786556590880666, 0.014947560975061995, -0.08810341193207673, -0.12959050393131163, 0.023577431868761777, -0.013320653547998518, -0.005768323905899056, -0.28721041645455575, 0.04248570270304169, 0.032156950807464973, 0.1531280021582331, -0.11720545709665332, -0.03904572084013905, -0.06364624387185489, 0.05489959970249662, 0.063035313628747, 0.03897345341808562, 0.16920653443916567, -0.15484033346375717, -0.08109221837616393, 0.31829492254182695, -0.12488798212393054, -0.10444689504802226, 0.12210262757060783, -0.19421279921994677, 0.057439560629427434, 0.2181229132759784, 0.20346449645502226, 0.07628606564498373, -0.17233465126316463, 0.05211464272994947, 5.41081785091332e-05, 0.16110312445421837, 0.04561299689646278, 0.08962933798985821, 0.2963176926864045, 0.23083251688097203, 0.028623317341719356, 0.20170510171114334, -0.17440734217442305, 0.01738974703475833, -0.22831369351063455, -0.18121007809947645, -0.20480992708887372, 0.005298268618727369, -0.030245616288863988, -0.1999101654759475, 0.41981742924212345, 0.11847562084772757, 0.14248035618636226, -0.09191775895389064, 0.2977547647897154, 0.17736983240548787, 0.0924096569219338, 0.03389714301031615, 0.29462524258664674, 0.2269583741801658, 0.12685880066377908, -0.3637008769371148, 0.014092869590967894, -0.03074643344485334] |
709.2199 | High pressure study on the strong-coupling superconductivity in
non-centrosymmetric compound CeIrSi_3 | We have carried out high pressure experiment on the pressure-induced
superconductor CeIrSi$_3$ without inversion center. The electrical resistivity
and ac heat capacity were measured in the same run for the same sample. The
critical pressure of the antiferromagnetic state was determined to be $P_{\rm
c}$ = 2.25 GPa. The heat capacity $C_{\rm ac}$ shows both antiferromagnetic and
superconducting transitions at pressures close to $P_{\rm c}$. The
superconducting transition temperature $T_{\rm sc}$ shows a maximum value of
1.6 K around $2.5-2.7$ GPa. At 2.58 GPa, a large heat capacity anomaly was
observed at $T_{\rm sc}$ = 1.59 K. The jump of the heat capacity in the form of
${\Delta}{C_{\rm ac}}/C_{\rm ac}(T_{\rm sc})$ is 5.7 $\pm$ 0.1. This is the
largest value observed among all superconductors studied previously, suggesting
the strong-coupling superconductivity in CeIrSi$_3$. The large magnitude and
anisotropy of the upper critical field $B_{\rm c2}$ at 2.65 GPa is discussed
from view points of the strong-coupling superconductivity and the reduced
paramagnetic effect in the non-centrosymmetric superconductor. Above $P_{\rm
c}$, the electrical resistivity shows the anomalous $T$-linear dependence in
the wide temperature region from $T_{\rm sc}$ to 30 K, which is different from
the Fermi liquid theory. Meanwhile, the heat capacity $C_{\rm ac}/T$ shows a
simple temperature dependence in the normal state above $T_{\rm sc}$. These
features do not seem to be explained simply by the spin fluctuation theory. The
electronic specific heat coefficient at $T_{\rm sc}$ is approximately unchanged
as a function of pressure, even at $P_{\rm c}$.
| cond-mat.supr-con | we have carried out high pressure experiment on the pressureinduced superconductor ceirsi_3 without inversion center the electrical resistivity and ac heat capacity were measured in the same run for the same sample the critical pressure of the antiferromagnetic state was determined to be p_rm c 225 gpa the heat capacity c_rm ac shows both antiferromagnetic and superconducting transitions at pressures close to p_rm c the superconducting transition temperature t_rm sc shows a maximum value of 16 k around 2527 gpa at 258 gpa a large heat capacity anomaly was observed at t_rm sc 159 k the jump of the heat capacity in the form of deltac_rm acc_rm act_rm sc is 57 pm 01 this is the largest value observed among all superconductors studied previously suggesting the strongcoupling superconductivity in ceirsi_3 the large magnitude and anisotropy of the upper critical field b_rm c2 at 265 gpa is discussed from view points of the strongcoupling superconductivity and the reduced paramagnetic effect in the noncentrosymmetric superconductor above p_rm c the electrical resistivity shows the anomalous tlinear dependence in the wide temperature region from t_rm sc to 30 k which is different from the fermi liquid theory meanwhile the heat capacity c_rm act shows a simple temperature dependence in the normal state above t_rm sc these features do not seem to be explained simply by the spin fluctuation theory the electronic specific heat coefficient at t_rm sc is approximately unchanged as a function of pressure even at p_rm c | [['we', 'have', 'carried', 'out', 'high', 'pressure', 'experiment', 'on', 'the', 'pressureinduced', 'superconductor', 'ceirsi_3', 'without', 'inversion', 'center', 'the', 'electrical', 'resistivity', 'and', 'ac', 'heat', 'capacity', 'were', 'measured', 'in', 'the', 'same', 'run', 'for', 'the', 'same', 'sample', 'the', 'critical', 'pressure', 'of', 'the', 'antiferromagnetic', 'state', 'was', 'determined', 'to', 'be', 'p_rm', 'c', '225', 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-0.006478343020028477] |
709.22 | Statistical Investigation of Connected Structures of Stock Networks in
Financial Time Series | In this study, we have investigated factors of determination which can affect
the connected structure of a stock network. The representative index for
topological properties of a stock network is the number of links with other
stocks. We used the multi-factor model, extensively acknowledged in financial
literature. In the multi-factor model, common factors act as independent
variables while returns of individual stocks act as dependent variables. We
calculated the coefficient of determination, which represents the measurement
value of the degree in which dependent variables are explained by independent
variables. Therefore, we investigated the relationship between the number of
links in the stock network and the coefficient of determination in the
multi-factor model. We used individual stocks traded on the market indices of
Korea, Japan, Canada, Italy and the UK. The results are as follows. We found
that the mean coefficient of determination of stocks with a large number of
links have higher values than those with a small number of links with other
stocks. These results suggest that common factors are significantly
deterministic factors to be taken into account when making a stock network.
Furthermore, stocks with a large number of links to other stocks can be more
affected by common factors.
| q-fin.ST physics.data-an | in this study we have investigated factors of determination which can affect the connected structure of a stock network the representative index for topological properties of a stock network is the number of links with other stocks we used the multifactor model extensively acknowledged in financial literature in the multifactor model common factors act as independent variables while returns of individual stocks act as dependent variables we calculated the coefficient of determination which represents the measurement value of the degree in which dependent variables are explained by independent variables therefore we investigated the relationship between the number of links in the stock network and the coefficient of determination in the multifactor model we used individual stocks traded on the market indices of korea japan canada italy and the uk the results are as follows we found that the mean coefficient of determination of stocks with a large number of links have higher values than those with a small number of links with other stocks these results suggest that common factors are significantly deterministic factors to be taken into account when making a stock network furthermore stocks with a large number of links to other stocks can be more affected by common factors | [['in', 'this', 'study', 'we', 'have', 'investigated', 'factors', 'of', 'determination', 'which', 'can', 'affect', 'the', 'connected', 'structure', 'of', 'a', 'stock', 'network', 'the', 'representative', 'index', 'for', 'topological', 'properties', 'of', 'a', 'stock', 'network', 'is', 'the', 'number', 'of', 'links', 'with', 'other', 'stocks', 'we', 'used', 'the', 'multifactor', 'model', 'extensively', 'acknowledged', 'in', 'financial', 'literature', 'in', 'the', 'multifactor', 'model', 'common', 'factors', 'act', 'as', 'independent', 'variables', 'while', 'returns', 'of', 'individual', 'stocks', 'act', 'as', 'dependent', 'variables', 'we', 'calculated', 'the', 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709.2201 | A complete proof of The Graceful Tree Conjecture using the concept of
Edge Degree | We show the Graceful Tree Conjecture holds.
| cs.DM | we show the graceful tree conjecture holds | [['we', 'show', 'the', 'graceful', 'tree', 'conjecture', 'holds']] | [-0.36312728588070187, 0.18599365212555444, -0.130322075049792, 0.18909522385469504, -0.04443013668060303, -0.2547873186745814, 0.05262242736560958, 0.3909377711159842, -0.3293068941150393, -0.20885409095457622, -0.016337905677833726, -0.17229224472040577, -0.2952451567564692, 0.09270497092178889, -0.22597889069999968, -0.05959419586828777, 0.33287252858281136, 0.057023552911622186, 0.11433437626276698, -0.37565054850918905, 0.3079310098130788, -0.04664600853409086, 0.2877742797136307, 0.321460454591683, 0.18389161356857844, 0.07010115849386368, 0.03978694735893181, 0.03270969832582133, -0.3179209360054561, -0.057825912679878196, 0.16422337985464505, 0.34913318923541475, 0.16361272122178758, -0.3857040937457766, -0.19921813123593374, 0.34717174832309994, 0.07112170875604663, 0.2433669396809169, -0.06086211438689913, -0.13634208057607924, 0.3214933348021337, -0.1084290285195623, -0.2618781051465443, 0.00778968765267304, -0.059050243347883224, -0.25226535541670664, -0.2972207588276693, 0.07759912045938629, 0.24736301547714643, -0.09545762318053416, -0.009597158591662134, -0.13785228558949061, -0.0517665616103581, 0.1144098389361586, 0.016126008172120367, 0.039311213485364406, -0.10774981356891138, -0.12151875799255711, -0.25579754382904085, 0.29207451535122736, -0.1095569681908403, 0.058766067294137816, 0.03834795193480594, -0.24518021728311265, -0.38547827516283306, -0.035808759076254706, -0.10769792326859065, 0.09362815959112984, 0.08337701112031937, 0.2832862436771393, -0.1632334773561784, 0.027174698454993113, 0.34906141300286564, -0.10531093605927058, 0.078802868191685, 0.20457055792212486, 0.14945685757058008, 0.29083673123802456, 0.04937614021556718, 0.07572636793234519, -0.2474354494895254, -0.24196853701557433, -0.154962075208979, 0.06714729379330363, -0.31117597089282106, -0.1896987541445664, 0.24166403551186835, 0.22021348109202726, 0.09194503006126199, 0.4409147427816476, 0.19888056335704668, 0.13589587754436902, -0.10771235078573227, 0.19272599608770438, 0.11060291262609619, 0.07496055215597153, -0.08849771187773772, -0.0763910932998572, 0.07553507015109062, 0.18899372965097427] |
709.2202 | Linear maps preserving fibers | Let $G\subset\GL(V)$ be a complex reductive group where $\dim V<\infty$, and
let $\pi\colon V\to\quot VG$ be the categorical quotient. Let
$\NN:=\pi\inv\pi(0)$ be the null cone of $V$, let $H_0$ be the subgroup of
$\GL(V)$ which preserves the ideal $\I$ of $\NN$ and let $H$ be a Levi subgroup
of $H_0$ containing $G$. We determine the identity component of $H$. In many
cases we show that $H=H_0$. For adjoint representations we have $H=H_0$ and we
determine $H$ completely. We also investigate the subgroup $G_F$ of $\GL(V)$
preserving a fiber $F$ of $\pi$ when $V$ is an irreducible cofree $G$-module.
| math.GR math.RT | let gsubsetglv be a complex reductive group where dim vinfty and let picolon vtoquot vg be the categorical quotient let nnpiinvpi0 be the null cone of v let h_0 be the subgroup of glv which preserves the ideal i of nn and let h be a levi subgroup of h_0 containing g we determine the identity component of h in many cases we show that hh_0 for adjoint representations we have hh_0 and we determine h completely we also investigate the subgroup g_f of glv preserving a fiber f of pi when v is an irreducible cofree gmodule | [['let', 'gsubsetglv', 'be', 'a', 'complex', 'reductive', 'group', 'where', 'dim', 'vinfty', 'and', 'let', 'picolon', 'vtoquot', 'vg', 'be', 'the', 'categorical', 'quotient', 'let', 'nnpiinvpi0', 'be', 'the', 'null', 'cone', 'of', 'v', 'let', 'h_0', 'be', 'the', 'subgroup', 'of', 'glv', 'which', 'preserves', 'the', 'ideal', 'i', 'of', 'nn', 'and', 'let', 'h', 'be', 'a', 'levi', 'subgroup', 'of', 'h_0', 'containing', 'g', 'we', 'determine', 'the', 'identity', 'component', 'of', 'h', 'in', 'many', 'cases', 'we', 'show', 'that', 'hh_0', 'for', 'adjoint', 'representations', 'we', 'have', 'hh_0', 'and', 'we', 'determine', 'h', 'completely', 'we', 'also', 'investigate', 'the', 'subgroup', 'g_f', 'of', 'glv', 'preserving', 'a', 'fiber', 'f', 'of', 'pi', 'when', 'v', 'is', 'an', 'irreducible', 'cofree', 'gmodule']] | [-0.1962296919130798, 0.10904948591047514, -0.10554428949399153, -0.05719878634530081, -0.13610275229196608, -0.18464938797114883, -0.03306093578673123, 0.3922664176983138, -0.36923999163263943, -0.13973398124411082, 0.054417133824851284, -0.27933721524383753, -0.0416548408077991, 0.15257684756458426, -0.11423688678769395, -0.13416453025456576, 0.07084926931323328, 0.1493029491781878, -0.059224053623135355, -0.2332214213286837, 0.36047580756712705, -0.10158023741678335, 0.143857439038887, 0.006109338069412236, 0.09117366629652679, 0.010956563184057208, 0.031094938601502992, -0.02806102517071925, -0.16280512003663716, 0.06701926713382515, 0.3297084578177116, 0.09830334446451161, 0.2329725825038622, -0.3157618419645587, -0.1398668084293604, 0.3438253301877315, 0.17861181631451473, -0.11796508249365918, 0.036541706504067406, -0.30885468688211404, 0.1804544585708451, -0.18653560926274318, -0.14194860438389392, -0.07494879195777078, 0.1515827612602152, -0.06658731216642384, -0.33721060334937647, -0.01707029589094115, 0.057140664876593895, 0.13979493598162662, -0.00819801313627977, -0.13700121804140508, -0.13044563332611384, 0.025429808252435276, -0.07291346315226595, 0.1349824379334071, 0.0656267244242675, -0.07751501242940624, -0.0487867354095215, 0.45415286244436476, -0.14513139326421273, -0.20604172198606344, 0.059132464157301, -0.20214077516963394, -0.1361494291049894, 0.06463875327123485, 0.09926355474938948, 0.139491199850454, -0.005329473592458574, 0.29240108277311566, -0.13719500910762386, 0.04385506423689852, 0.02228170075492623, -0.05010124817575464, 0.08984751894361882, 0.04997232453994608, 0.0788922700042652, 0.08735029937937118, 0.008970344807797423, 0.20892657537964018, -0.39844095272322494, -0.21499745906718695, -0.11259483652490114, 0.22371756853923822, -0.12107114252967222, -0.12133989606324273, 0.39975489212277654, 0.05316315663670442, 0.19520410773111507, 0.05233867450563897, 0.1410923849810691, 0.10772708132086943, 0.030338387446439203, 0.1405492006742861, 0.03358544583655506, 0.2688625368755311, -0.19973207069172835, -0.1862516329541298, -0.02740866394985157, 0.1737444323419671] |
709.2203 | Self-consistent triaxial de Zeeuw-Carollo Models | We use the usual method of Schwarzschild to construct self-consistent
solutions for the triaxial de Zeeuw & Carollo (1996) models with central
density cusps. ZC96 models are triaxial generalisations of spherical
$\gamma$-models of Dehnen whose densities vary as $r^{-\gamma}$ near the center
and $r^{-4}$ at large radii and hence, possess a central density core for
$\gamma=0$ and cusps for $\gamma > 0$. We consider four triaxial models from
ZC96, two prolate triaxials: $(p, q) = (0.65, 0.60)$ with $\gamma = 1.0$ and
1.5, and two oblate triaxials: $(p, q) = (0.95, 0.60)$ with $\gamma = 1.0$ and
1.5. We compute 4500 orbits in each model for time periods of $10^{5} T_{D}$.
We find that a large fraction of the orbits in each model are stochastic by
means of their nonzero Liapunov exponents. The stochastic orbits in each model
can sustain regular shapes for $\sim 10^{3} T_{D}$ or longer, which suggests
that they diffuse slowly through their allowed phase-space. Except for the
oblate triaxial models with $\gamma =1.0$, our attempts to construct
self-consistent solutions employing only the regular orbits fail for the
remaining three models. However, the self-consistent solutions are found to
exist for all models when the stochastic and regular orbits are treated in the
same way because the mixing-time, $\sim10^{4} T_{D}$, is shorter than the
integration time, $10^{5} T_{D}$. Moreover, the ``fully-mixed'' solutions can
also be constructed for all models when the stochastic orbits are fully mixed
at 15 lowest energy shells. Thus, we conclude that the self-consistent
solutions exist for our selected prolate and oblate triaxial models with
$\gamma = 1.0$ and 1.5.
| astro-ph | we use the usual method of schwarzschild to construct selfconsistent solutions for the triaxial de zeeuw carollo 1996 models with central density cusps zc96 models are triaxial generalisations of spherical gammamodels of dehnen whose densities vary as rgamma near the center and r4 at large radii and hence possess a central density core for gamma0 and cusps for gamma 0 we consider four triaxial models from zc96 two prolate triaxials p q 065 060 with gamma 10 and 15 and two oblate triaxials p q 095 060 with gamma 10 and 15 we compute 4500 orbits in each model for time periods of 105 t_d we find that a large fraction of the orbits in each model are stochastic by means of their nonzero liapunov exponents the stochastic orbits in each model can sustain regular shapes for sim 103 t_d or longer which suggests that they diffuse slowly through their allowed phasespace except for the oblate triaxial models with gamma 10 our attempts to construct selfconsistent solutions employing only the regular orbits fail for the remaining three models however the selfconsistent solutions are found to exist for all models when the stochastic and regular orbits are treated in the same way because the mixingtime sim104 t_d is shorter than the integration time 105 t_d moreover the fullymixed solutions can also be constructed for all models when the stochastic orbits are fully mixed at 15 lowest energy shells thus we conclude that the selfconsistent solutions exist for our selected prolate and oblate triaxial models with gamma 10 and 15 | [['we', 'use', 'the', 'usual', 'method', 'of', 'schwarzschild', 'to', 'construct', 'selfconsistent', 'solutions', 'for', 'the', 'triaxial', 'de', 'zeeuw', 'carollo', '1996', 'models', 'with', 'central', 'density', 'cusps', 'zc96', 'models', 'are', 'triaxial', 'generalisations', 'of', 'spherical', 'gammamodels', 'of', 'dehnen', 'whose', 'densities', 'vary', 'as', 'rgamma', 'near', 'the', 'center', 'and', 'r4', 'at', 'large', 'radii', 'and', 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709.2204 | Ferromagnetism of two-flavor quark matter in chiral and/or
color-superconducting phases at zero and finite temperatures | We study the phase structure of the unpolarized and polarized two-flavor
quark matters at zero and finite temperatures within the Nambu--Jona-Lasinio
(NJL) model. We focus on the region, which includes the coexisting phase of
quark-antiquark and diquark condensates. Generalizing the NJL model so as to
describe the polarized quark matter, we compute the thermodynamic potential as
a function of the quark chemical potential ($\mu$), the temperature ($T$), and
the polarization parameter. The result heavily depends on the ratio $G_D /
G_S$, where $G_S$ is the quark-antiquark coupling constant and $G_D$ is the
diquark coupling constant. We find that, for small $G_D / G_S$, the
"ferromagnetic" phase is energetically favored over the "paramagnetic" phase.
On the other hand, for large $G_D / G_S$, there appears the window in the
($\mu, T$)-plane, in which the "paramagnetic" phase is favored.
| hep-ph | we study the phase structure of the unpolarized and polarized twoflavor quark matters at zero and finite temperatures within the nambujonalasinio njl model we focus on the region which includes the coexisting phase of quarkantiquark and diquark condensates generalizing the njl model so as to describe the polarized quark matter we compute the thermodynamic potential as a function of the quark chemical potential mu the temperature t and the polarization parameter the result heavily depends on the ratio g_d g_s where g_s is the quarkantiquark coupling constant and g_d is the diquark coupling constant we find that for small g_d g_s the ferromagnetic phase is energetically favored over the paramagnetic phase on the other hand for large g_d g_s there appears the window in the mu tplane in which the paramagnetic phase is favored | [['we', 'study', 'the', 'phase', 'structure', 'of', 'the', 'unpolarized', 'and', 'polarized', 'twoflavor', 'quark', 'matters', 'at', 'zero', 'and', 'finite', 'temperatures', 'within', 'the', 'nambujonalasinio', 'njl', 'model', 'we', 'focus', 'on', 'the', 'region', 'which', 'includes', 'the', 'coexisting', 'phase', 'of', 'quarkantiquark', 'and', 'diquark', 'condensates', 'generalizing', 'the', 'njl', 'model', 'so', 'as', 'to', 'describe', 'the', 'polarized', 'quark', 'matter', 'we', 'compute', 'the', 'thermodynamic', 'potential', 'as', 'a', 'function', 'of', 'the', 'quark', 'chemical', 'potential', 'mu', 'the', 'temperature', 't', 'and', 'the', 'polarization', 'parameter', 'the', 'result', 'heavily', 'depends', 'on', 'the', 'ratio', 'g_d', 'g_s', 'where', 'g_s', 'is', 'the', 'quarkantiquark', 'coupling', 'constant', 'and', 'g_d', 'is', 'the', 'diquark', 'coupling', 'constant', 'we', 'find', 'that', 'for', 'small', 'g_d', 'g_s', 'the', 'ferromagnetic', 'phase', 'is', 'energetically', 'favored', 'over', 'the', 'paramagnetic', 'phase', 'on', 'the', 'other', 'hand', 'for', 'large', 'g_d', 'g_s', 'there', 'appears', 'the', 'window', 'in', 'the', 'mu', 'tplane', 'in', 'which', 'the', 'paramagnetic', 'phase', 'is', 'favored']] | [-0.16185310351620638, 0.2930378455585286, -0.05870044935119352, 0.0702282085410083, -0.04900647030531693, -0.14666930765066463, 0.10943035576701053, 0.3408773887846897, -0.19247783337539034, -0.18511496686529536, -0.00697491509290829, -0.2841403897323493, -0.022710136857245173, 0.04271824100513512, 0.10095133065961044, -0.021776302915705897, -0.08383237949655906, 0.06962138827353258, -0.0877906171771795, -0.2139478303029883, 0.3716080011521925, -0.06503577408756116, 0.25372753999849307, 0.1784838970069454, 0.05083778725047387, -0.015098765921612172, 0.0392295035408504, -0.020558196431852933, -0.15280839841346536, -0.05220821636047826, 0.18965715431971406, -0.017367457168232372, 0.11869418996198576, -0.3290208492622669, -0.18962196476319665, 0.16053771672408973, 0.12321002446914286, 0.11924302993418733, -0.0025194922119809956, -0.28240362129525154, 0.054651293622976195, -0.19289686398775274, -0.13939133458145297, -0.09164091438342167, 0.022024383751063872, -0.048648555723102345, -0.3289262897377563, 0.10787877918624167, -0.00822651795625909, -0.008552429301024818, -0.038877592279589666, -0.21094897548918293, -0.09138969531102079, 0.03990528609172733, 0.09497875259466358, 0.16394655655117343, 0.15080807165854346, -0.1885893335374795, -0.024763366085852483, 0.4239964225961924, -0.12621909625647562, -0.1388430189647114, 0.12477934138967531, -0.18337392513709727, -0.08823359426138784, 0.0824421628642438, 0.1280526264515052, 0.1255770001904483, -0.09609370698514673, 0.20726146810790594, -0.013387392087380833, 0.20078670154256162, 0.06818151104945078, 0.054974321843691366, 0.2374196342269042, 0.2147637828802273, 0.03598846575078457, 0.12309366690191273, -0.07351388881128948, -0.16291765305352635, -0.3577838279237387, -0.08858151372814023, -0.17497669316484218, 0.006641692402008087, -0.1679180420429312, -0.17273627994095545, 0.399491889304968, 0.11593216238195883, 0.20723255164573776, -0.03395026867493375, 0.29183465319532736, 0.07855317230317255, 0.06642980411746052, 0.05633659885306634, 0.28018649958496317, 0.20431894931504363, 0.10126418165025065, -0.31591033525486933, -0.012923759528185561, 0.08780901384393949] |
709.2205 | Newton's method on Gra{\ss}mann manifolds | A general class of Newton algorithms on Gra{\ss}mann and
Lagrange-Gra{\ss}mann manifolds is introduced, that depends on an arbitrary
pair of local coordinates. Local quadratic convergence of the algorithm is
shown under a suitable condition on the choice of coordinate systems. Our
result extends and unifies previous convergence results for Newton's method on
a manifold. Using special choices of the coordinates, new numerical algorithms
are derived for principal component analysis and invariant subspace
computations with improved computational complexity properties.
| math.OC math.DG math.NA | a general class of newton algorithms on grassmann and lagrangegrassmann manifolds is introduced that depends on an arbitrary pair of local coordinates local quadratic convergence of the algorithm is shown under a suitable condition on the choice of coordinate systems our result extends and unifies previous convergence results for newtons method on a manifold using special choices of the coordinates new numerical algorithms are derived for principal component analysis and invariant subspace computations with improved computational complexity properties | [['a', 'general', 'class', 'of', 'newton', 'algorithms', 'on', 'grassmann', 'and', 'lagrangegrassmann', 'manifolds', 'is', 'introduced', 'that', 'depends', 'on', 'an', 'arbitrary', 'pair', 'of', 'local', 'coordinates', 'local', 'quadratic', 'convergence', 'of', 'the', 'algorithm', 'is', 'shown', 'under', 'a', 'suitable', 'condition', 'on', 'the', 'choice', 'of', 'coordinate', 'systems', 'our', 'result', 'extends', 'and', 'unifies', 'previous', 'convergence', 'results', 'for', 'newtons', 'method', 'on', 'a', 'manifold', 'using', 'special', 'choices', 'of', 'the', 'coordinates', 'new', 'numerical', 'algorithms', 'are', 'derived', 'for', 'principal', 'component', 'analysis', 'and', 'invariant', 'subspace', 'computations', 'with', 'improved', 'computational', 'complexity', 'properties']] | [-0.14742817192537977, -0.015441708358771216, -0.11037404748139443, 0.019082971754810447, -0.09640487024935519, -0.14784523874351924, -0.012753578537905758, 0.3478400440185101, -0.2453825046344624, -0.25467702212997456, 0.09848063455761544, -0.19067143351625795, -0.17723513944316413, 0.2780161104588346, -0.10865750553255732, 0.08498302572588255, 0.09526186471188126, 0.044499381191351196, -0.1507378257297028, -0.31063391814951774, 0.3629324930816792, 0.06282724278023491, 0.2940521212657551, -0.005942886937923681, 0.17230320060867574, 0.036413759204813025, -0.053817704706997066, 0.057002140856166554, -0.12371178810507763, 0.14774344064138056, 0.1625952758106657, 0.14733933211098632, 0.26757880422443925, -0.3516975106647262, -0.17771701801979503, 0.08541845243315321, 0.1313736929751739, 0.0937175454251323, -0.026127533636406644, -0.2718239630778114, 0.08200316895676366, -0.08248336154774025, -0.14616738317546424, -0.1599197661588815, -0.014321164252212295, 0.06092355192892931, -0.32106817120462416, 0.03274126046990323, 0.09304040514368128, 0.09119504697427347, -0.07955045845698226, -0.13661584337151234, 0.042691359347845244, 0.04712343453611066, 0.04556781426969804, 0.042223168606567496, 0.14488372794509707, -0.0334440880370411, -0.12724987148948305, 0.3733464832502333, -0.04288351766813498, -0.3080040993586231, 0.19710706455887042, -0.02716909067148899, -0.21841945166566543, 0.1213794765924406, 0.17250478134623595, 0.19691135542007623, -0.08210405403772345, 0.17700641759892005, -0.06403850406550428, 0.1126148740144132, 0.03077619385530616, 0.021917722336857206, 0.06367785719906693, 0.11340092225363116, 0.1622106119288833, 0.0966152673278778, -0.0024690918455069714, -0.1491224910374489, -0.322724623000854, -0.14563783224333415, -0.21014015537432648, 0.018839920598820045, -0.1759547283564915, -0.1534982559512303, 0.40644623825399134, 0.05941249380589693, 0.18246281339919992, 0.11542119312874198, 0.2911122819293871, 0.10483156542094159, 0.028226176446134395, 0.11121373222052276, 0.19951870106765396, 0.1650972623958603, 0.034819194817214044, -0.21368302535507586, 0.040348443529242044, 0.19493282729965428] |
709.2206 | Strong collisionless damping of the low-velocity branch of
electromagnetic wave in plasmas with Maxwellian-like electron velocity
distribution function | After approximate replacing of Maxwellian distribution exponent with the
rational polynomial fraction we have obtained precise analytical expression for
and calculated the principal value of logarithmically divergent integral in the
electron wave dispersion equation. At the same time our calculations have shown
the presence of strong collisionless damping of the electromagnetic
low-velocity (electron) wave in plasmas with Maxwellian-like electron velocity
distribution function at some small, of the order of several per cents,
differences from Maxwellian distribution in the main region of large electron
densities, however due to the differences in the distribution tail, where
electron density itself is negligibly small.
| physics.plasm-ph | after approximate replacing of maxwellian distribution exponent with the rational polynomial fraction we have obtained precise analytical expression for and calculated the principal value of logarithmically divergent integral in the electron wave dispersion equation at the same time our calculations have shown the presence of strong collisionless damping of the electromagnetic lowvelocity electron wave in plasmas with maxwellianlike electron velocity distribution function at some small of the order of several per cents differences from maxwellian distribution in the main region of large electron densities however due to the differences in the distribution tail where electron density itself is negligibly small | [['after', 'approximate', 'replacing', 'of', 'maxwellian', 'distribution', 'exponent', 'with', 'the', 'rational', 'polynomial', 'fraction', 'we', 'have', 'obtained', 'precise', 'analytical', 'expression', 'for', 'and', 'calculated', 'the', 'principal', 'value', 'of', 'logarithmically', 'divergent', 'integral', 'in', 'the', 'electron', 'wave', 'dispersion', 'equation', 'at', 'the', 'same', 'time', 'our', 'calculations', 'have', 'shown', 'the', 'presence', 'of', 'strong', 'collisionless', 'damping', 'of', 'the', 'electromagnetic', 'lowvelocity', 'electron', 'wave', 'in', 'plasmas', 'with', 'maxwellianlike', 'electron', 'velocity', 'distribution', 'function', 'at', 'some', 'small', 'of', 'the', 'order', 'of', 'several', 'per', 'cents', 'differences', 'from', 'maxwellian', 'distribution', 'in', 'the', 'main', 'region', 'of', 'large', 'electron', 'densities', 'however', 'due', 'to', 'the', 'differences', 'in', 'the', 'distribution', 'tail', 'where', 'electron', 'density', 'itself', 'is', 'negligibly', 'small']] | [-0.12005204338463954, 0.14957715220283718, -0.08536350668407977, 0.07772702225134707, 0.0057050266693113375, -0.07101938799023629, -0.012819337667897343, 0.3150492181722075, -0.24190683279652148, -0.2969896578928456, -0.002874367024633102, -0.3184309961553663, -0.024783450905233623, 0.18696939486777409, 0.05833837860933272, 0.0905040722573176, 0.012772140624001622, 0.02907279772683978, -0.08380484589142725, -0.1805952332704328, 0.3177687099203467, 0.10425104521214962, 0.26252074651420115, 0.06843613291159273, 0.10311673181364313, 0.0014869725750759244, -0.021168413299601525, -0.0018119685351848601, -0.12593722595833243, 0.05326047480106354, 0.21469426755065796, -0.012633724159095437, 0.28079360794276, -0.43990458667278287, -0.20438493316527456, 0.04032468562480062, 0.19292430858593435, 0.08307702116202563, -0.047077423566952346, -0.22020033275708556, 0.02864703393075615, -0.19062288326676935, -0.22525005180388688, 0.0016602727957069875, 0.07413487610407174, 0.11714802039205097, -0.27187557552126235, 0.18774711303412914, -0.005906070433557033, 0.016777690669332514, -0.08763844484928995, -0.14389396907761692, -0.022027756010647864, 0.05804901534691453, 0.12180144208250568, 0.04612359018530696, 0.14900762009900062, -0.14615796289406716, 0.02235112846363336, 0.36400795958936216, -0.10551674493239262, -0.17249473797157408, 0.13376551129389555, -0.2928274028468877, -0.09047100919764489, 0.2501259987312369, 0.12765753670129926, 0.08143622544128448, -0.10528380510397256, 0.07574274683312979, -0.05103427037218353, 0.13237811092752963, 0.11251088039018214, 0.057271918635815385, 0.19572361811995506, 0.06592181204818189, 0.0230240138201043, 0.07946096713247243, -0.14596585020539352, -0.0986309911403805, -0.3032752447575331, -0.11632487235590816, -0.23368582830764353, 0.06433484383014729, -0.11704343655757839, -0.17642471064435086, 0.36487198683898897, 0.12383303821552545, 0.19072009650990368, 0.05166025582700968, 0.30079409282654523, 0.21900535431923346, 0.02945156703237444, 0.09710243813460692, 0.22651917801849777, 0.15038381988415495, 0.0844521375920158, -0.267189040860394, 0.09886131970677525, 0.02378509925445542] |
709.2207 | Relationships between the HI 21-cm line strength, MgII equivalent width
and metallicity in damped Lyman-alpha absorption systems | We present the results of a survey for 21-cm absorption in four never
previously searched damped Lyman-alpha absorption systems (DLAs) with the
Westerbork Synthesis Radio Telescope. We add our results to other recent
studies in order to address the important issues regarding the detection of
cold gas, through 21-cm absorption, in DLAs: Although, due to the DLAs
identified with spiral galaxies, there is a mix of spin temperature/covering
factor ratios at low redshift, two recent high redshift end points confirm that
this ratio does not generally rise over the whole redshift range searched (up
to z = 3.39). That is, if the covering factors of many of these galaxies were a
factor of >2 smaller than for the spirals, then no significant difference in
the spin temperatures between these two classes would be required.
Furthermore, although it is difficult to separate the relative contributions
of the spin temperature and covering factor, the new results confirm that 21-cm
detections tend to occur at low angular diameter distances, where the coverage
of a given absorption cross section is maximised.
Finally, we also find an apparent 21-cm line strength--MgII equivalent width
correlation, which appears to be due to a coupling of the velocity structure
between the components that each species traces. That is, the gas seen in 21-cm
absorption could be the same as that seen in optical absorption. Combined with
the known equivalent width--metallicity relation, this may be manifest as a
spin temperature--metallicity anti-correlation, which is non-evolutionary in
origin.
| astro-ph | we present the results of a survey for 21cm absorption in four never previously searched damped lymanalpha absorption systems dlas with the westerbork synthesis radio telescope we add our results to other recent studies in order to address the important issues regarding the detection of cold gas through 21cm absorption in dlas although due to the dlas identified with spiral galaxies there is a mix of spin temperaturecovering factor ratios at low redshift two recent high redshift end points confirm that this ratio does not generally rise over the whole redshift range searched up to z 339 that is if the covering factors of many of these galaxies were a factor of 2 smaller than for the spirals then no significant difference in the spin temperatures between these two classes would be required furthermore although it is difficult to separate the relative contributions of the spin temperature and covering factor the new results confirm that 21cm detections tend to occur at low angular diameter distances where the coverage of a given absorption cross section is maximised finally we also find an apparent 21cm line strengthmgii equivalent width correlation which appears to be due to a coupling of the velocity structure between the components that each species traces that is the gas seen in 21cm absorption could be the same as that seen in optical absorption combined with the known equivalent widthmetallicity relation this may be manifest as a spin temperaturemetallicity anticorrelation which is nonevolutionary in origin | [['we', 'present', 'the', 'results', 'of', 'a', 'survey', 'for', '21cm', 'absorption', 'in', 'four', 'never', 'previously', 'searched', 'damped', 'lymanalpha', 'absorption', 'systems', 'dlas', 'with', 'the', 'westerbork', 'synthesis', 'radio', 'telescope', 'we', 'add', 'our', 'results', 'to', 'other', 'recent', 'studies', 'in', 'order', 'to', 'address', 'the', 'important', 'issues', 'regarding', 'the', 'detection', 'of', 'cold', 'gas', 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|
709.2208 | Glueball Decay in Holographic QCD | Using holographic QCD based on D4-branes and D8-anti-D8-branes, we have
computed couplings of glueballs to light mesons. We describe glueball decay by
explicitly calculating its decay widths and branching ratios. Interestingly,
while glueballs remain less well understood both theoretically and
experimentally, our results are found to be consistent with the experimental
data for the scalar glueball candidate f_0(1500). More generally, holographic
QCD predicts that decay of any glueball to 4 $\pi_0$ is surpressed, and that
mixing of the lightest glueball with $q\bar{q}$ mesons is small.
| hep-th hep-ph nucl-th | using holographic qcd based on d4branes and d8antid8branes we have computed couplings of glueballs to light mesons we describe glueball decay by explicitly calculating its decay widths and branching ratios interestingly while glueballs remain less well understood both theoretically and experimentally our results are found to be consistent with the experimental data for the scalar glueball candidate f_01500 more generally holographic qcd predicts that decay of any glueball to 4 pi_0 is surpressed and that mixing of the lightest glueball with qbarq mesons is small | [['using', 'holographic', 'qcd', 'based', 'on', 'd4branes', 'and', 'd8antid8branes', 'we', 'have', 'computed', 'couplings', 'of', 'glueballs', 'to', 'light', 'mesons', 'we', 'describe', 'glueball', 'decay', 'by', 'explicitly', 'calculating', 'its', 'decay', 'widths', 'and', 'branching', 'ratios', 'interestingly', 'while', 'glueballs', 'remain', 'less', 'well', 'understood', 'both', 'theoretically', 'and', 'experimentally', 'our', 'results', 'are', 'found', 'to', 'be', 'consistent', 'with', 'the', 'experimental', 'data', 'for', 'the', 'scalar', 'glueball', 'candidate', 'f_01500', 'more', 'generally', 'holographic', 'qcd', 'predicts', 'that', 'decay', 'of', 'any', 'glueball', 'to', '4', 'pi_0', 'is', 'surpressed', 'and', 'that', 'mixing', 'of', 'the', 'lightest', 'glueball', 'with', 'qbarq', 'mesons', 'is', 'small']] | [-0.027801628148110293, 0.32436244918527196, -0.11723112561235047, 0.17740737255494368, -0.050910844052412425, -0.19671533538971142, 0.028267654497737448, 0.39538687868436506, -0.11452976278736289, -0.1873019226344235, -0.0064744134517723175, -0.31515166360929786, -0.04752894152090492, 0.10119686249562214, 0.09464184639145093, 0.1377105008556889, 0.06358680759938097, 0.0407927915992507, -0.028704474691346467, -0.2575791359665882, 0.3118069192439497, -0.035207683624452854, 0.17882080834095243, 0.18327756076826748, -0.03426244904999677, -0.04437121835744839, 0.0019698433622897388, -0.07064761064879327, -0.13028130816181432, 0.07928527462862836, 0.2053156235866832, 0.09593531198193689, 0.032395126188667606, -0.32047703518835174, -0.14685043269566384, 0.14795723881190978, 0.2479491718421993, 0.12603992218409765, -0.0323684239777223, -0.32629318047225114, 0.19544519229332008, -0.1583333557292101, -0.09851395829120674, -0.19207368512968925, 0.009163495007318905, -0.1197880429548144, -0.3179320597415229, 0.11781605856537998, -0.147506502522885, 0.001337838572371437, -0.06737859704649547, -0.2642652441758707, -0.0591767966881933, 0.03757897465411259, 0.19455182807609797, 0.07975541717226965, 0.15827400395534483, -0.19144513080996203, -0.16807953790265012, 0.41492250687386617, -0.1373402706336185, -0.19150035002504487, 0.12099575649958148, -0.12535364852084901, -0.12823780764915407, 0.12941008570592805, 0.09451115905610194, 0.11426181644089071, -0.12640184156192713, 0.09102669687863126, -0.0677328923358077, 0.20627945428433636, 0.08257257493201599, 0.1513120386390442, 0.2442412636613092, 0.17015172956028887, -0.09629239368319781, 0.09130612343510455, -0.009817619412486633, -0.1198651568672384, -0.37451705941369373, -0.11872371028076453, -0.15324080944431565, 0.07070889362170507, -0.0721419575022455, -0.09237413611038621, 0.3663391392027219, 0.056635989426040506, 0.2544139853611319, 0.106114421505481, 0.2915322487803558, 0.08880527241924127, 0.060631271721009745, 0.09879518902849362, 0.3574588080441736, 0.23557918780505746, 0.11536621341919415, -0.2926656247498131, -0.04769066732421697, 0.04561196080779275] |
709.2209 | Topological Properties of Stock Networks Based on Random Matrix Theory
in Financial Time Series | We investigated the topological properties of stock networks through a
comparison of the original stock network with the estimated stock network from
the correlation matrix created by the random matrix theory (RMT). We used
individual stocks traded on the market indices of Korea, Japan, Canada, the
USA, Italy, and the UK. The results are as follows. As the correlation matrix
reflects the more eigenvalue property, the estimated stock network from the
correlation matrix gradually increases the degree of consistency with the
original stock network. Each stock with a different number of links to other
stocks in the original stock network shows a different response. In particular,
the largest eigenvalue is a significant deterministic factor in terms of the
formation of a stock network.
| q-fin.ST physics.data-an | we investigated the topological properties of stock networks through a comparison of the original stock network with the estimated stock network from the correlation matrix created by the random matrix theory rmt we used individual stocks traded on the market indices of korea japan canada the usa italy and the uk the results are as follows as the correlation matrix reflects the more eigenvalue property the estimated stock network from the correlation matrix gradually increases the degree of consistency with the original stock network each stock with a different number of links to other stocks in the original stock network shows a different response in particular the largest eigenvalue is a significant deterministic factor in terms of the formation of a stock network | [['we', 'investigated', 'the', 'topological', 'properties', 'of', 'stock', 'networks', 'through', 'a', 'comparison', 'of', 'the', 'original', 'stock', 'network', 'with', 'the', 'estimated', 'stock', 'network', 'from', 'the', 'correlation', 'matrix', 'created', 'by', 'the', 'random', 'matrix', 'theory', 'rmt', 'we', 'used', 'individual', 'stocks', 'traded', 'on', 'the', 'market', 'indices', 'of', 'korea', 'japan', 'canada', 'the', 'usa', 'italy', 'and', 'the', 'uk', 'the', 'results', 'are', 'as', 'follows', 'as', 'the', 'correlation', 'matrix', 'reflects', 'the', 'more', 'eigenvalue', 'property', 'the', 'estimated', 'stock', 'network', 'from', 'the', 'correlation', 'matrix', 'gradually', 'increases', 'the', 'degree', 'of', 'consistency', 'with', 'the', 'original', 'stock', 'network', 'each', 'stock', 'with', 'a', 'different', 'number', 'of', 'links', 'to', 'other', 'stocks', 'in', 'the', 'original', 'stock', 'network', 'shows', 'a', 'different', 'response', 'in', 'particular', 'the', 'largest', 'eigenvalue', 'is', 'a', 'significant', 'deterministic', 'factor', 'in', 'terms', 'of', 'the', 'formation', 'of', 'a', 'stock', 'network']] | [-0.08167404642733707, 0.07219285036747654, -0.10338506477741086, 0.11784662442315914, -0.003293138816037591, -0.10137218595823137, 0.08498477662356979, 0.36254312327828225, -0.2693322411458182, -0.2774550652782607, 0.12486297803139693, -0.37052209602623454, -0.20838667016960982, 0.13089839136559228, -0.03868217289266063, 0.03449323295193963, 0.06390966190880816, 0.05356894452711643, -0.014075573499700645, -0.2728949287769998, 0.28676464834545806, 0.07002558348921878, 0.37383597962013104, 0.01545376884107425, 0.1079741302362787, 0.015583947450925815, -0.07978235407755142, 0.011969735702060587, -0.061684253564997904, 0.17999583883286735, 0.25240257560707086, 0.08684014252243125, 0.3146137572461512, -0.4280887756012077, -0.14778033955916156, 0.1294958089342023, 0.02287262881447266, 0.0014282122133223991, 0.08089886750016509, -0.30024632622253117, 0.030629867614943504, -0.23662039849869773, -0.0923706350868901, -0.00912061588823553, 0.015814764849175284, 0.02800417220129109, -0.2843417829163827, 0.08438842289804716, -0.037954698413292444, 0.05763235317952022, 0.02106885034098797, -0.17817262402637218, -0.0908880922375474, 0.2017887805350034, 0.12756317041291879, -0.04074530134628701, 0.16951192820793, -0.11866466946354727, -0.15080832006036857, 0.34795194114671973, -0.09996805772397334, -0.07780881032226532, 0.07687820362994766, -0.15087118306825678, -0.114895537084137, 0.05920549295464061, 0.20148419262746697, -0.02690763002246376, -0.16800502153128627, 0.025444163311920242, -0.10347669877535928, 0.22143534952736785, 0.05276598698910084, -0.03426094296411043, 0.1553729281541172, 0.1863728548779637, 0.07086368090647265, 0.1452292688820337, -0.11703086355694582, -0.16187505929814122, -0.2051571140489806, -0.1093566388012917, -0.23572977043393, 0.04463472343012085, -0.24076412474664166, -0.15536779544232943, 0.4862852381708903, 0.1105107018890662, 0.14664386531216947, 0.08634083719575793, 0.2114513148288659, 0.10358265271160479, 0.0508409437370426, 0.10582092785980643, 0.18028287725841127, 0.07720506373448373, 0.2003783832902346, -0.1761421192195115, 0.15572645115794811, 0.0590308952463291] |
709.221 | Knot in Cen A: Stochastic Magnetic Field for Diffusive Synchrotron
Radiation? | The emission of relativistic electrons moving in the random and small-scale
magnetic field is presented by diffusive synchrotron radiation (DSR). In this
Letter, we revisit the perturbative treatment of DSR. We propose that random
and small-scale magnetic field might be generated by the turbulence. As an
example, multi-band radiation of the knot in Cen A comes from the electrons
with energy $\gamma_e\sim 10^3-10^4$ in the magnetic field of $10^{-3}G$. The
multi-band spectrum of DSR is well determined by the feature of stochastic
magnetic field. These results put strong constraint to the models of particle
acceleration.
| astro-ph | the emission of relativistic electrons moving in the random and smallscale magnetic field is presented by diffusive synchrotron radiation dsr in this letter we revisit the perturbative treatment of dsr we propose that random and smallscale magnetic field might be generated by the turbulence as an example multiband radiation of the knot in cen a comes from the electrons with energy gamma_esim 103104 in the magnetic field of 103g the multiband spectrum of dsr is well determined by the feature of stochastic magnetic field these results put strong constraint to the models of particle acceleration | [['the', 'emission', 'of', 'relativistic', 'electrons', 'moving', 'in', 'the', 'random', 'and', 'smallscale', 'magnetic', 'field', 'is', 'presented', 'by', 'diffusive', 'synchrotron', 'radiation', 'dsr', 'in', 'this', 'letter', 'we', 'revisit', 'the', 'perturbative', 'treatment', 'of', 'dsr', 'we', 'propose', 'that', 'random', 'and', 'smallscale', 'magnetic', 'field', 'might', 'be', 'generated', 'by', 'the', 'turbulence', 'as', 'an', 'example', 'multiband', 'radiation', 'of', 'the', 'knot', 'in', 'cen', 'a', 'comes', 'from', 'the', 'electrons', 'with', 'energy', 'gamma_esim', '103104', 'in', 'the', 'magnetic', 'field', 'of', '103g', 'the', 'multiband', 'spectrum', 'of', 'dsr', 'is', 'well', 'determined', 'by', 'the', 'feature', 'of', 'stochastic', 'magnetic', 'field', 'these', 'results', 'put', 'strong', 'constraint', 'to', 'the', 'models', 'of', 'particle', 'acceleration']] | [-0.15299503097033246, 0.2146295054676073, -0.044438418035613415, 0.09311164236018196, -0.0648108564931503, -0.0981405034532493, -0.014145145315659588, 0.38068611769283073, -0.26636850708065196, -0.3342925090382391, -0.009603355285473802, -0.21295082759349904, -0.06739221026803902, 0.19645644546649915, -0.016255805239160644, -0.025571525602185344, 0.008648085258058966, 0.003833649883126008, 0.016950219634306082, -0.1506212028214074, 0.3474299006926966, 0.14632051288487113, 0.23919881660332706, 0.04120629032122645, 0.05476165480882009, 0.0002451344799408887, -0.027345092768998856, 0.0850328614519156, -0.07509167597202171, 0.04363828624024036, 0.15978201314426266, 0.0580824470702321, 0.21037063236407777, -0.46460893013058824, -0.27334085643846306, 0.035881978677625354, 0.13164153815949325, 0.09984368305811857, -0.09526714409498419, -0.2815280582735989, 0.04265694978072288, -0.16733318712919, -0.1302972419108165, -0.002337646804393289, -0.043413553805526424, 0.048560329475142855, -0.2569404369457922, 0.07266996250032111, 0.06312344611642208, 0.04777996114237194, -0.10101218488899634, -0.0416323271371979, 0.01674502182187156, 0.03034785332435623, 0.13628280200955875, 0.0971065830696929, 0.16361230135241406, -0.17297249839472723, -0.14996867104027262, 0.4386389468836182, -0.089656755499086, -0.1159614352989283, 0.13128190023943465, -0.19366604539050541, -0.12082034486662993, 0.17814330215209184, 0.1478124341352823, 0.11388837816590007, -0.15434843966578868, 0.09955823196945315, -0.05227311192318163, 0.10197564909987628, -0.008252513981325196, 0.040360668500726844, 0.23726944945395945, 0.13448155540452794, -0.023463858420306696, 0.15376619517213685, -0.1970554071557807, -0.05489189359557597, -0.2833696588319033, -0.1273163310351207, -0.18695497710971123, 0.10359716407231431, -0.11394139155318238, -0.16256406925806893, 0.41542097592746163, 0.18216411673285543, 0.12859305342104524, -0.03267930200610785, 0.33248462327855066, 0.16565764099582436, 0.01663915847646112, 0.12896957713119844, 0.3203841606155038, 0.18088638075835448, 0.1329434467875894, -0.24469399396478733, -0.022424752967669926, 0.03683777949079237] |
709.2211 | Possible time-variability of the fine-structure constant expected from
the accelerating universe | We present a theoretical calculation on the time-variability of the
fine-structure constant to fit the result of the recent precise analysis of the
measurement of the QSO absorption lines. We find the parameters and initial
values of the scalar-tensor theory to be determined much more accurately than
fitting the accelerating universe itself, but leading not to easy detections of
the effect on the equation of state of the dark energy in the earlier epochs.
| astro-ph | we present a theoretical calculation on the timevariability of the finestructure constant to fit the result of the recent precise analysis of the measurement of the qso absorption lines we find the parameters and initial values of the scalartensor theory to be determined much more accurately than fitting the accelerating universe itself but leading not to easy detections of the effect on the equation of state of the dark energy in the earlier epochs | [['we', 'present', 'a', 'theoretical', 'calculation', 'on', 'the', 'timevariability', 'of', 'the', 'finestructure', 'constant', 'to', 'fit', 'the', 'result', 'of', 'the', 'recent', 'precise', 'analysis', 'of', 'the', 'measurement', 'of', 'the', 'qso', 'absorption', 'lines', 'we', 'find', 'the', 'parameters', 'and', 'initial', 'values', 'of', 'the', 'scalartensor', 'theory', 'to', 'be', 'determined', 'much', 'more', 'accurately', 'than', 'fitting', 'the', 'accelerating', 'universe', 'itself', 'but', 'leading', 'not', 'to', 'easy', 'detections', 'of', 'the', 'effect', 'on', 'the', 'equation', 'of', 'state', 'of', 'the', 'dark', 'energy', 'in', 'the', 'earlier', 'epochs']] | [-0.0902221759331312, 0.057309338313250524, -0.09472588975158697, 0.0660091202290779, -0.0946885027696152, -0.0798430128771862, 0.05085696745821199, 0.34841462360644665, -0.18022911524324603, -0.35790145578416616, 0.051337056672137636, -0.25776200657207016, -0.02561111464102224, 0.1905956982542144, 0.025173228007514734, 0.009310646692323938, 0.04720659484155476, 0.005469399800121381, -0.06307607137509999, -0.2445544425297428, 0.31940425323901345, 0.12375731725950499, 0.2178230314716898, 0.038753711621629425, 0.05846150938069095, -0.04324340181286774, -0.07774484236221257, -0.00196582982568322, -0.19221925855035316, 0.12341410596225713, 0.18419937248226897, 0.12036082207074238, 0.19798474052505619, -0.3776195142921564, -0.22861628657257235, 0.1006789470116633, 0.126437553003229, 0.16510105125662694, -0.003355020463090654, -0.27549898849699545, 0.014563895107523815, -0.1381534890120698, -0.15685370539289875, -0.026995140706767905, 0.024071701217090357, -0.011627134678230898, -0.228846921163888, 0.128014841179892, 0.0069512767950072885, 0.016399319057126303, -0.12428864349321639, -0.10944309695372106, -0.020425608425678032, 0.0705675550711316, 0.09349253968763593, 0.02973302302416414, 0.13612504187669303, -0.15283461040943055, -0.051486190836373215, 0.39821924294370253, -0.1167006880853945, -0.09699512073711958, 0.13835263940957185, -0.20149899343330716, -0.1518781148337734, 0.14006106667786938, 0.11530411416803159, 0.1535666434312982, -0.09132177191408905, 0.04185504386299038, -0.0003194281000744652, 0.20944325842366024, 0.023486459986432583, 0.04026863154187497, 0.21021397414340362, 0.09259460494551505, 0.027029795685430635, 0.06687389612685561, -0.09170090231566212, -0.08669486577068833, -0.3195679859333747, -0.13014664249242963, -0.17117633841101182, 0.08302640363222422, -0.11636455639362228, -0.17746335391357942, 0.4396075747051352, 0.1679904412893528, 0.23793108281805306, 0.03460529275439881, 0.33823000337626485, 0.1537546576881731, 0.061574615044141745, 0.034950588036932656, 0.36115958581905105, 0.14996541638204172, 0.10928474196761444, -0.2508561882769337, 0.09441704086713947, 0.009059993883695555] |
709.2212 | Molecular Bose-Einstein condensation in a versatile low power crossed
dipole trap | We produce Bose-Einstein condensates of 6Li2 molecules in a low power (22 W)
crossed optical dipole trap. Fermionic 6Li atoms are collected in a
magneto-optical trap from a Zeeman slowed atomic beam, then loaded into the
optical dipole trap where they are evaporatively cooled to quantum degeneracy.
Our simplified system offers a high degree of flexibility in trapping geometry
for studying ultracold Fermi and Bose gases.
| cond-mat.other | we produce boseeinstein condensates of 6li2 molecules in a low power 22 w crossed optical dipole trap fermionic 6li atoms are collected in a magnetooptical trap from a zeeman slowed atomic beam then loaded into the optical dipole trap where they are evaporatively cooled to quantum degeneracy our simplified system offers a high degree of flexibility in trapping geometry for studying ultracold fermi and bose gases | [['we', 'produce', 'boseeinstein', 'condensates', 'of', '6li2', 'molecules', 'in', 'a', 'low', 'power', '22', 'w', 'crossed', 'optical', 'dipole', 'trap', 'fermionic', '6li', 'atoms', 'are', 'collected', 'in', 'a', 'magnetooptical', 'trap', 'from', 'a', 'zeeman', 'slowed', 'atomic', 'beam', 'then', 'loaded', 'into', 'the', 'optical', 'dipole', 'trap', 'where', 'they', 'are', 'evaporatively', 'cooled', 'to', 'quantum', 'degeneracy', 'our', 'simplified', 'system', 'offers', 'a', 'high', 'degree', 'of', 'flexibility', 'in', 'trapping', 'geometry', 'for', 'studying', 'ultracold', 'fermi', 'and', 'bose', 'gases']] | [-0.1222739541677363, 0.3110871254572306, -0.009666861472369143, -0.0041410259366261234, 0.04604398003765241, -0.28292443826230185, 0.05476343852933496, 0.4214347909402215, -0.18309583033745488, -0.237640231043439, -0.07616626128914174, -0.291449999464958, 0.06110385984577464, 0.19781462181444195, 0.043522148209652216, 0.051918668862940234, 0.026299954243850978, -0.08776346491438082, -0.027764543631664394, -0.2576195067923629, 0.22888912075678958, 0.05704848731296475, 0.2690319945527749, 0.0849994090103516, 0.1060942595076719, -0.037582307902277644, 0.15762254713582946, -0.054701622744852844, -0.09725662407281836, 0.13567079454801526, 0.22686419565456384, -0.058981430723868085, 0.1862487756562504, -0.5029278390222427, -0.17387208847724128, 0.12514971512031148, 0.21716501724652268, 0.24584640545601194, -0.08315087579698725, -0.33291209477818373, -0.1699424345526054, -0.2188504017859955, -0.20881185189566828, -0.16615462155702213, 0.0304681606816523, 0.05840021738726081, -0.2635124178751456, 0.01403293926551035, 0.06085060957367673, 0.18785918075379662, -0.11689763244816498, -0.08366017155596196, 0.027035638234916736, -0.057121286930685695, -0.15318569071788454, 0.015731857345213717, 0.24268397674049166, -0.15597592203906088, 0.01164470359358485, 0.44337911726060236, -0.1544441191274955, -0.08543403480540622, 0.18277680715122682, -0.22198034682536893, -0.029364700661972165, 0.20391161810380942, 0.20498408190906048, 0.020250618556570826, -0.11020634161082632, 0.06194610473528772, -0.0631754569723412, 0.14497357543212164, 0.1700045051420051, 0.07679690510937662, 0.3394994797312062, 0.17060541911897334, 0.004280467320120696, 0.2210373824927956, -0.16265136298413077, -0.06010216702424893, -0.1595615808866128, -0.14579190576279705, -0.24355792255973388, 0.06496761688454585, 0.02547476034294849, -0.08153272751775203, 0.33109440136644425, 0.05584070684783386, 0.1870576738605671, -0.13216591914269057, 0.3382571649483659, 0.10737502499603468, 0.04211021554797436, -0.0218907443270313, 0.28421433597351564, 0.18597150341410076, 0.09106494582991934, -0.3254479218916403, -0.14733113697730005, 0.029505140416211252] |
709.2213 | Gauge fields, quantized fluxes and monopole confinement of the honeycomb
lattice | Electron hopping models on the honeycomb lattice are studied. The lattice
consists of two triangular sublattices, and it is non-Bravais. The dual space
has non-trivial topology. The gauge fields of Bloch electrons have the U(1)
symmetry and thus represent superconducting states in the dual space. Two
quantized Abrikosov fluxes exist at the Dirac points and have fluxes $2pi$ and
$-2pi$, respectively. We define the non-Abelian SO(3) gauge theory in the
extended 3$d$ dual space and it is shown that a monopole and anti-monoplole
solution is stable. The SO(3) gauge group is broken down to U(1) at the 2$d$
boundary.The Abrikosov fluxes are related to quantized Hall conductance by the
topological expression. Based on this, monopole confinement and deconfinement
are discussed in relation to time reversal symmetry and QHE.
The Jahn-Teller effect is briefly discussed.
| cond-mat.mes-hall | electron hopping models on the honeycomb lattice are studied the lattice consists of two triangular sublattices and it is nonbravais the dual space has nontrivial topology the gauge fields of bloch electrons have the u1 symmetry and thus represent superconducting states in the dual space two quantized abrikosov fluxes exist at the dirac points and have fluxes 2pi and 2pi respectively we define the nonabelian so3 gauge theory in the extended 3d dual space and it is shown that a monopole and antimonoplole solution is stable the so3 gauge group is broken down to u1 at the 2d boundarythe abrikosov fluxes are related to quantized hall conductance by the topological expression based on this monopole confinement and deconfinement are discussed in relation to time reversal symmetry and qhe the jahnteller effect is briefly discussed | [['electron', 'hopping', 'models', 'on', 'the', 'honeycomb', 'lattice', 'are', 'studied', 'the', 'lattice', 'consists', 'of', 'two', 'triangular', 'sublattices', 'and', 'it', 'is', 'nonbravais', 'the', 'dual', 'space', 'has', 'nontrivial', 'topology', 'the', 'gauge', 'fields', 'of', 'bloch', 'electrons', 'have', 'the', 'u1', 'symmetry', 'and', 'thus', 'represent', 'superconducting', 'states', 'in', 'the', 'dual', 'space', 'two', 'quantized', 'abrikosov', 'fluxes', 'exist', 'at', 'the', 'dirac', 'points', 'and', 'have', 'fluxes', '2pi', 'and', '2pi', 'respectively', 'we', 'define', 'the', 'nonabelian', 'so3', 'gauge', 'theory', 'in', 'the', 'extended', '3d', 'dual', 'space', 'and', 'it', 'is', 'shown', 'that', 'a', 'monopole', 'and', 'antimonoplole', 'solution', 'is', 'stable', 'the', 'so3', 'gauge', 'group', 'is', 'broken', 'down', 'to', 'u1', 'at', 'the', '2d', 'boundarythe', 'abrikosov', 'fluxes', 'are', 'related', 'to', 'quantized', 'hall', 'conductance', 'by', 'the', 'topological', 'expression', 'based', 'on', 'this', 'monopole', 'confinement', 'and', 'deconfinement', 'are', 'discussed', 'in', 'relation', 'to', 'time', 'reversal', 'symmetry', 'and', 'qhe', 'the', 'jahnteller', 'effect', 'is', 'briefly', 'discussed']] | [-0.20975160353232344, 0.2742655660284865, -0.033422936527828746, 0.08893653291410633, -0.08785184330299944, -0.16010647446015164, 0.0058441113328729245, 0.4043321726297526, -0.19708636687382272, -0.22764660868989794, 0.06196254642095585, -0.28681812151790337, -0.1486746119090209, 0.098445882352027, 0.003117897148643221, 0.008288885921912086, -0.09031116174660007, 0.040791162163635396, -0.12495165578915941, -0.25462103744398074, 0.29081010479914177, -0.04704392006746808, 0.35575412495299835, 0.04238088476590644, 0.07943657977432993, -0.024755981890834812, 0.05854779728548251, 0.024170247700697343, -0.12878478648469485, 0.04712100976621172, 0.18586978459979878, -0.09262530231687303, 0.08906951016585406, -0.44386152745245544, -0.18157219960305251, 0.03489450786850954, 0.13394323503817396, 0.13080086374193206, -0.03437018580209548, -0.3265592560795297, 0.05223936331983572, -0.11651563875314157, -0.10004526433006238, -0.11870318560868054, 0.016132977601627407, -0.0792334407175842, -0.20521561789004258, 0.06473365823801298, 0.030101862273010937, 0.0825519100307746, -0.08589513904390562, -0.09275171005244094, -0.11892079236335996, 0.05091100764509879, 0.08741326673355486, 0.08999737026520017, 0.10609222721497535, -0.12193276414724726, -0.17455711553907863, 0.441061178936546, 0.0002517061705413954, -0.22104278935077495, 0.1351569842116529, -0.15272280855605, -0.11911487190360974, 0.15887408899633507, 0.06653899023015249, 0.07530979050981595, -0.08302001140423511, 0.1848896984115971, -0.09260877515224361, 0.08460042263640273, 0.03190321644375983, 0.06185883846259991, 0.2766332560239878, 0.11540537933237795, 0.11478581333084774, 0.1265290567154219, -0.09553614036439169, -0.13647478236641764, -0.32518569119904833, -0.15932874061443836, -0.22884412934037304, 0.08046881872215274, -0.0454594553220681, -0.14721906516080394, 0.4088752606246424, 0.1006902062117045, 0.1618082766960326, -0.04427637881074185, 0.18842774131895512, 0.15136240115319205, 0.08161445583840062, 0.0491246533145974, 0.22943138299313814, 0.19064959876424864, 0.07949075497742883, -0.3330053148272139, -0.13290404477961978, 0.18422583692630096] |
709.2214 | Rational interpolation and mixed inverse spectral problem for finite CMV
matrices | For finite dimensional CMV matrices the mixed inverse spectral problem of
reconstruction the matrix by its submatrix and a part of its spectrum is
considered. A general rational interpolation problem which arises in solving
the mixed inverse spectral problem is studied, and the description of the space
of its solutions is given. We apply the developed technique to give sufficient
conditions for the uniqueness of the solution of the mixed inverse spectral
problem.
| math.SP math.CA | for finite dimensional cmv matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered a general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied and the description of the space of its solutions is given we apply the developed technique to give sufficient conditions for the uniqueness of the solution of the mixed inverse spectral problem | [['for', 'finite', 'dimensional', 'cmv', 'matrices', 'the', 'mixed', 'inverse', 'spectral', 'problem', 'of', 'reconstruction', 'the', 'matrix', 'by', 'its', 'submatrix', 'and', 'a', 'part', 'of', 'its', 'spectrum', 'is', 'considered', 'a', 'general', 'rational', 'interpolation', 'problem', 'which', 'arises', 'in', 'solving', 'the', 'mixed', 'inverse', 'spectral', 'problem', 'is', 'studied', 'and', 'the', 'description', 'of', 'the', 'space', 'of', 'its', 'solutions', 'is', 'given', 'we', 'apply', 'the', 'developed', 'technique', 'to', 'give', 'sufficient', 'conditions', 'for', 'the', 'uniqueness', 'of', 'the', 'solution', 'of', 'the', 'mixed', 'inverse', 'spectral', 'problem']] | [-0.08474434159491977, 0.021688642656456116, -0.0792511439792914, 0.10394697049345616, -0.06472935269535711, -0.11134262249664698, -0.020914312011932265, 0.31521542241465145, -0.35804129463990464, -0.2419332136297981, 0.21998361793939944, -0.21685831085459828, -0.1467973225277989, 0.12930127941327144, -0.06285580816640429, 0.11714327040412272, 0.06874627568950392, 0.04093142022212891, -0.1396849569290468, -0.19538177792238046, 0.38665949022524976, 0.028933828377662455, 0.241873846698731, 0.07177878862680638, 0.14813778567293737, 0.04158027528160035, -0.049950952364182837, 0.0006777236731691056, -0.1029814353391324, 0.16098327695851355, 0.2821959534226215, 0.17339359733518467, 0.2663666944287411, -0.36018403719038994, -0.20032645407936547, 0.18440776225179434, 0.10248251520224834, 0.06517154119162476, -0.04891670051298729, -0.23475190889957834, 0.12449754304443933, -0.1093017238460175, -0.18129445186956492, -0.011237029244561922, 0.002788817561040186, -0.05618008037340151, -0.341096507965855, 0.1044268808263826, 0.08532934178588657, 0.02575778323289466, -0.1377274023467828, -0.1336316726384174, 0.06260231211271187, 0.10071835650309716, 0.013703581510264783, -0.0731411841442834, 0.012101022615926722, -0.10837186921568515, -0.07986752704194147, 0.3970497514133992, -0.02423805216556951, -0.23831314787472765, 0.12835605515243664, -0.07363133366564162, -0.07965716692835909, 0.1536987235973755, 0.13766359745154846, 0.19030591475435257, -0.10947526924388662, 0.20273279804219682, -0.10299769175328212, 0.1152316944463153, 0.030723324096570276, -0.01311667774060792, 0.10732374745995214, 0.13978953474545724, 0.15009158343867693, 0.20333774801669005, -0.0445980515158799, -0.06906512632251602, -0.284303406585161, -0.13746823433926966, -0.2538702488711027, 0.037733305896287914, -0.10592377857482124, -0.23343838653080676, 0.45499343641280926, 0.0714356028116053, 0.1741097897087058, 0.0457783708084145, 0.2523488313189312, 0.24375642091275052, -0.014845183731554306, 0.0036152308896081906, 0.16896528100008018, 0.2465192201764208, 0.1273248183528242, -0.264215744716077, 0.009724343246588968, 0.17159423601418122] |
709.2215 | Measure of a 2-component link | A two-component link produces a torus as the product of the component knots
in a two-point configuration space of a three-sphere. This space can be
identified with a cotangent bundle and also with an indefinite Grassmannian. We
show that the integration of the absolute value of the canonical symplectic
form is equal to the area of the torus with respect to the pseudo-Riemannian
structure, and that it attains the minimum only at the "best" Hopf links.
| math.GT | a twocomponent link produces a torus as the product of the component knots in a twopoint configuration space of a threesphere this space can be identified with a cotangent bundle and also with an indefinite grassmannian we show that the integration of the absolute value of the canonical symplectic form is equal to the area of the torus with respect to the pseudoriemannian structure and that it attains the minimum only at the best hopf links | [['a', 'twocomponent', 'link', 'produces', 'a', 'torus', 'as', 'the', 'product', 'of', 'the', 'component', 'knots', 'in', 'a', 'twopoint', 'configuration', 'space', 'of', 'a', 'threesphere', 'this', 'space', 'can', 'be', 'identified', 'with', 'a', 'cotangent', 'bundle', 'and', 'also', 'with', 'an', 'indefinite', 'grassmannian', 'we', 'show', 'that', 'the', 'integration', 'of', 'the', 'absolute', 'value', 'of', 'the', 'canonical', 'symplectic', 'form', 'is', 'equal', 'to', 'the', 'area', 'of', 'the', 'torus', 'with', 'respect', 'to', 'the', 'pseudoriemannian', 'structure', 'and', 'that', 'it', 'attains', 'the', 'minimum', 'only', 'at', 'the', 'best', 'hopf', 'links']] | [-0.21312969992868602, 0.061077492910714536, -0.08873060183280981, 0.033349986200367936, -0.10704777828466736, -0.08192233134085607, -0.0030499507556669414, 0.36388802235198553, -0.26515462811374546, -0.24586336764179195, 0.11338221150493298, -0.23156685192186974, -0.17363976029139994, 0.17215049316444875, -0.07404875381555605, -0.03567884722724557, 0.06300415299330397, 0.11975204352117878, -0.15138398453372678, -0.23563716526290304, 0.4143017970797557, 0.07079077305541814, 0.21372994979059226, 0.02155464819607962, 0.15460262119794557, -0.02247452390943899, 0.025701442390288178, 0.03145261296288625, -0.11554657735982082, 0.13249917430067926, 0.19998756671128304, 0.049345944983590594, 0.17823075438469746, -0.32238892036931294, -0.1765536293877583, 0.15154849316336608, 0.1543246047987946, -0.014663714670429104, 0.061969512375071645, -0.23797552265520944, 0.042882452776929744, -0.17854539198666125, -0.16856029369917355, -0.04712504105593421, 0.027604057183979375, -0.005329647407817997, -0.22998285575809668, 0.0037231000387691893, 0.044763361839087384, 0.04127608047259089, -0.06341572010301445, -0.07293746260141856, -0.09053301949691224, 0.11376882604580667, 0.013697045925686038, 0.12966467230580747, 0.11137421446925912, -0.13196614272524848, -0.11876020867279485, 0.39566766341235243, -0.10672728263920075, -0.27903457573847845, 0.11088168792775832, -0.14496757136045121, -0.125949964429693, 0.18757878188779087, 0.08533475773507043, 0.10507941009525798, -0.03827920320863517, 0.09289400620036758, -0.13558309968855037, 0.1296675335860958, 0.051890256581828, 0.0007407766840371646, 0.1915251135482992, 0.13452958181120553, 0.13121170039582802, 0.14706093425660297, -0.0873442454214551, -0.11768951301315897, -0.35372902041203097, -0.272069466514758, -0.15696264059576942, 0.11405499338932139, -0.12985051479029752, -0.19072579499334097, 0.40187409586015793, 0.014710152944500902, 0.2604083450339538, 0.10419957336623491, 0.2759112625039722, 0.0931697836778384, 0.09811506593158763, 0.10795189745993794, 0.22374371130411563, 0.16500246543192157, 0.007050286390279469, -0.17281769184199602, -0.02634250052199748, 0.11336682966027997] |
709.2216 | The stability of quantum Markov filters | When are quantum filters asymptotically independent of the initial state? We
show that this is the case for absolutely continuous initial states when the
quantum stochastic model satisfies an observability condition. When the initial
system is finite dimensional, this condition can be verified explicitly in
terms of a rank condition on the coefficients of the associated quantum
stochastic differential equation.
| math-ph math.MP math.OA math.PR | when are quantum filters asymptotically independent of the initial state we show that this is the case for absolutely continuous initial states when the quantum stochastic model satisfies an observability condition when the initial system is finite dimensional this condition can be verified explicitly in terms of a rank condition on the coefficients of the associated quantum stochastic differential equation | [['when', 'are', 'quantum', 'filters', 'asymptotically', 'independent', 'of', 'the', 'initial', 'state', 'we', 'show', 'that', 'this', 'is', 'the', 'case', 'for', 'absolutely', 'continuous', 'initial', 'states', 'when', 'the', 'quantum', 'stochastic', 'model', 'satisfies', 'an', 'observability', 'condition', 'when', 'the', 'initial', 'system', 'is', 'finite', 'dimensional', 'this', 'condition', 'can', 'be', 'verified', 'explicitly', 'in', 'terms', 'of', 'a', 'rank', 'condition', 'on', 'the', 'coefficients', 'of', 'the', 'associated', 'quantum', 'stochastic', 'differential', 'equation']] | [-0.1466895129221181, 0.18088033656652744, -0.09709464239422232, 0.0451302116115888, -0.0022326851496472953, -0.16329358017537743, -0.041916917834896594, 0.3138214165150809, -0.2972237362836798, -0.18182652710626523, 0.15226032612651277, -0.23719633460665743, -0.1354559178153674, 0.1846732983016409, -0.0740019826684147, 0.11994747867186864, 0.11878633593053868, 0.11647748239726449, -0.06515390599379316, -0.2993515550585774, 0.3844541732997944, -0.00801144521489429, 0.2720939585007727, 0.018711190686250725, 0.1749580782217284, -6.960732280276715e-05, 0.059308722615242004, 0.03438887373389055, -0.11813884363958399, 0.02780580411296493, 0.21971790973717967, 0.08864682065795933, 0.2759610044769943, -0.39786696086327233, -0.1887683035961042, 0.1409831362000356, 0.08385801325299932, 0.1401325033977628, 0.005861354904482141, -0.30233415284116444, 0.13671265163769325, -0.14048885563388466, -0.17595117050223053, -0.0522639458378156, 0.006070565426489339, 0.009536363898466032, -0.3585739080794156, 0.1065326962309579, 0.09500606931202735, 0.024596945211912195, -0.11379995247504364, -0.04719473717850633, -0.05473425832266609, 0.054747813097492326, -0.02681878681954307, -0.042808283407551544, 0.06499178188387304, -0.13388237536576827, -0.08293641619481301, 0.32370326183736325, -0.04809989241960769, -0.31603719290966786, 0.14332994245924055, -0.11330010827320318, -0.10936095285384605, 0.06366131941322237, 0.1300721955485642, 0.14115858643053797, -0.1364958175222758, 0.18273393519533176, -0.06168076992034912, 0.18016209388151766, 0.024733288097195327, 0.03171066658105701, 0.1343776723369956, 0.0706418348204655, 0.15829233583062888, 0.17665605673682877, 0.008675379262422211, -0.16322465180419385, -0.39849955439567564, -0.18705075510467092, -0.20118088368326426, 0.11974228601902723, -0.10924983948934823, -0.18078264496289193, 0.37142708944156766, 0.11677855840243864, 0.1772776909948637, 0.043607855890877546, 0.28609184809029103, 0.2806232763919979, -0.05198533999112745, 0.053427566611208024, 0.18228281317278744, 0.16152704013511537, 0.06529107622336597, -0.2343981198190401, 0.11530532789183781, 0.10273944882986447] |
709.2217 | A classification of prime-valent regular Cayley maps on some groups | A Cayley map is a 2-cell embedding of a Cayley graph into an orientable
surface with the same local orientation induced by a cyclic permutation of
generators at each vertex. In this paper, we provide classifications of
prime-valent regular Cayley maps on abelian groups, dihedral groups and
dicyclic groups. Consequently, we show that all prime-valent regular Cayley
maps on dihedral groups are balanced and all prime-valent regular Cayley maps
on abelian groups are either balanced or anti-balanced. Furthermore, we prove
that there is no prime-valent regular Cayley map on any dicyclic group.
| math.CO | a cayley map is a 2cell embedding of a cayley graph into an orientable surface with the same local orientation induced by a cyclic permutation of generators at each vertex in this paper we provide classifications of primevalent regular cayley maps on abelian groups dihedral groups and dicyclic groups consequently we show that all primevalent regular cayley maps on dihedral groups are balanced and all primevalent regular cayley maps on abelian groups are either balanced or antibalanced furthermore we prove that there is no primevalent regular cayley map on any dicyclic group | [['a', 'cayley', 'map', 'is', 'a', '2cell', 'embedding', 'of', 'a', 'cayley', 'graph', 'into', 'an', 'orientable', 'surface', 'with', 'the', 'same', 'local', 'orientation', 'induced', 'by', 'a', 'cyclic', 'permutation', 'of', 'generators', 'at', 'each', 'vertex', 'in', 'this', 'paper', 'we', 'provide', 'classifications', 'of', 'primevalent', 'regular', 'cayley', 'maps', 'on', 'abelian', 'groups', 'dihedral', 'groups', 'and', 'dicyclic', 'groups', 'consequently', 'we', 'show', 'that', 'all', 'primevalent', 'regular', 'cayley', 'maps', 'on', 'dihedral', 'groups', 'are', 'balanced', 'and', 'all', 'primevalent', 'regular', 'cayley', 'maps', 'on', 'abelian', 'groups', 'are', 'either', 'balanced', 'or', 'antibalanced', 'furthermore', 'we', 'prove', 'that', 'there', 'is', 'no', 'primevalent', 'regular', 'cayley', 'map', 'on', 'any', 'dicyclic', 'group']] | [-0.19959241751095522, 0.1744772852766998, -0.045089490306766136, 0.07609114709497511, -0.13170436531831714, -0.1326867098585986, 0.009843794769435392, 0.4953059094107669, -0.28735232748010237, -0.18146754720288774, 0.13762387151338928, -0.31422123226397874, -0.17283123764260064, 0.16953956720712798, -0.12666627811267972, -0.09577782935989292, 0.08127885388271154, 0.16379193895598923, -0.09585110183157351, -0.3021634664622505, 0.37289737558255537, -0.0743872856938928, 0.23197576504848574, 0.01956286238324221, 0.12275582454885411, 0.03329477887398199, -0.05190592146296378, 0.05754892656620106, -0.16497304202035276, 0.06697683306107216, 0.2541912127610134, 0.025657137478803, 0.09365341642304607, -0.37572555409987335, -0.17835621386968895, 0.29706129684801336, 0.09258292175060057, 0.0268807717214298, -0.06075591819219129, -0.2811673579170652, 0.15569637677348827, -0.15396735594486413, -0.07096422284477107, -0.023947989649098854, 0.07522639090640713, 0.029921102600739054, -0.1843004983789085, -0.038277189338417804, 0.1544117985252777, 0.16664086402717815, 0.006275871763532253, -0.09189348258887944, -0.12010861396202413, 0.17010366536788238, -0.12636426408552442, 0.031152461407422696, 0.05759372105113352, -0.038863273091998926, -0.17033304970422963, 0.3890335814338987, -0.004231614334022869, -0.24029708844255251, 0.12473121605580673, -0.16738874134835383, -0.2639267051835423, 0.13881103509945958, 0.11141597752398609, 0.13420697844222837, -0.02599363419753702, 0.1698162522073329, -0.17789367703801912, 0.12309547570412574, 0.14026406879091394, -0.1005682677154571, 0.12937660361437694, 0.053079045246071786, 0.19664436443101452, 0.17933890439124536, 0.08948298727931536, 0.05343125597573817, -0.28800538579083007, -0.1008403357523291, -0.11588854616275057, 0.09948794431377041, -0.18644827481773024, -0.24714054247496, 0.4435078130792017, -0.0008359330949252067, 0.10771486329790407, 0.16154737061436247, 0.1759782770000722, -0.012549178295201906, 0.08994786846249, 0.1306903671938926, 0.018123087225198422, 0.20987498980147115, -0.21543785784540334, -0.10685850859052785, -0.023507641386696258, 0.26831117481924593] |
709.2218 | The Approach to the Thermodynamic Limit in Lattice QCD at \mu\neq0 | The expectation value of the complex phase factor of the fermion determinant
is computed to leading order in the $p$-expansion of the chiral Lagrangian. The
computation is valid for $\mu<m_\pi/2$ and determines the dependence of the
sign problem on the volume and on the geometric shape of the volume. In the
thermodynamic limit with $ L_i \to \infty $ at fixed temperature $1/L_0$, the
average phase factor vanishes. In the low temperature limit where $L_i/L_0$ is
fixed as $L_i$ becomes large the average phase factor approaches one. The
results for a finite volume compare well with lattice results obtained by
Allton {\it et al}.. After taking appropriate limits, we reproduce previously
derived results for the $\epsilon$-regime and for 1-dimensional QCD. The
distribution of the phase itself is also computed.
| hep-lat | the expectation value of the complex phase factor of the fermion determinant is computed to leading order in the pexpansion of the chiral lagrangian the computation is valid for mum_pi2 and determines the dependence of the sign problem on the volume and on the geometric shape of the volume in the thermodynamic limit with l_i to infty at fixed temperature 1l_0 the average phase factor vanishes in the low temperature limit where l_il_0 is fixed as l_i becomes large the average phase factor approaches one the results for a finite volume compare well with lattice results obtained by allton it et al after taking appropriate limits we reproduce previously derived results for the epsilonregime and for 1dimensional qcd the distribution of the phase itself is also computed | [['the', 'expectation', 'value', 'of', 'the', 'complex', 'phase', 'factor', 'of', 'the', 'fermion', 'determinant', 'is', 'computed', 'to', 'leading', 'order', 'in', 'the', 'pexpansion', 'of', 'the', 'chiral', 'lagrangian', 'the', 'computation', 'is', 'valid', 'for', 'mum_pi2', 'and', 'determines', 'the', 'dependence', 'of', 'the', 'sign', 'problem', 'on', 'the', 'volume', 'and', 'on', 'the', 'geometric', 'shape', 'of', 'the', 'volume', 'in', 'the', 'thermodynamic', 'limit', 'with', 'l_i', 'to', 'infty', 'at', 'fixed', 'temperature', '1l_0', 'the', 'average', 'phase', 'factor', 'vanishes', 'in', 'the', 'low', 'temperature', 'limit', 'where', 'l_il_0', 'is', 'fixed', 'as', 'l_i', 'becomes', 'large', 'the', 'average', 'phase', 'factor', 'approaches', 'one', 'the', 'results', 'for', 'a', 'finite', 'volume', 'compare', 'well', 'with', 'lattice', 'results', 'obtained', 'by', 'allton', 'it', 'et', 'al', 'after', 'taking', 'appropriate', 'limits', 'we', 'reproduce', 'previously', 'derived', 'results', 'for', 'the', 'epsilonregime', 'and', 'for', '1dimensional', 'qcd', 'the', 'distribution', 'of', 'the', 'phase', 'itself', 'is', 'also', 'computed']] | [-0.10093658187636925, 0.1637996782946791, -0.05193518739073507, 0.0282724371119853, -0.006157260818121534, -0.0535004565927891, 0.07981199271706564, 0.3112729996172411, -0.2186444079092208, -0.2776435242455092, 0.10452119658810026, -0.278275228924148, -0.07997297711517604, 0.16253580208567361, -0.005454000547263516, 0.06683514809851805, -0.02387273395546682, 0.08508836840009017, -0.1216463874694572, -0.2383459230223971, 0.3194950342557633, 0.06224959579131176, 0.2796173818679827, 0.10612093711050317, 0.10234009945434669, 0.012703804456959329, -0.010337075301175636, 0.041726550342695366, -0.16908579850531813, 0.03440484350393226, 0.18457505878083588, 0.03831109807886664, 0.16009422986122268, -0.3632039298273383, -0.18687237986934283, 0.11013275095742316, 0.11178119989833044, 0.09798624257241646, 0.026563004723885248, -0.23201589761752514, 0.09262149204920617, -0.13062854217282766, -0.18408996382288845, -0.05975488809147669, 0.033789011649787426, -0.027008441032751674, -0.3018441704381633, 0.11115887379926262, 0.019518477069551968, 0.03779760553621717, -0.032949980900382564, -0.17210143435025407, -0.01885255177377633, 0.143213261024005, 0.06020469794748351, 0.06854498326626321, 0.12723672122604424, -0.1628115459818453, -0.05022446036098465, 0.41190025644497047, -0.08529125722669696, -0.1630156546335427, 0.11915116924830081, -0.15803299638472737, -0.10892531280631139, 0.15258130864540656, 0.10474644431604012, 0.11171688291107139, -0.06614781423441825, 0.14850108563639938, -0.02037600863296839, 0.1365401326827029, 0.046116193035437215, 0.008671913607676903, 0.15626677661953914, 0.15056472382838687, 0.04839325710875733, 0.1357075715096735, -0.08173481377419986, -0.1413859426909532, -0.3224110375083382, -0.13588725647047883, -0.21923261705500585, 0.02730151159583681, -0.16297018345674938, -0.1586805751825112, 0.35970169150330605, 0.1155204284680827, 0.26441581752676996, 0.08182777107445403, 0.2828755500414709, 0.22057486289357317, 0.06645846538125508, 0.06537394159315754, 0.24625080823898315, 0.1366245339853659, 0.09026188800682224, -0.2630585198996649, 0.027786610946584973, 0.13263774004524514] |
709.2219 | Determination of S- and P-wave helicity amplitudes and non-unitary
evolution of pion creation process pi(-)p -> pi(-)pi(+)n on polarized target | We present the first model independent determination of S- and P-wave
helicity amplitudes from CERN measurements of pi(-)p -> pi(-)pi(+)n on
polarized target at small t and dipion masses 580-1080 MeV. The purely
analytical determination of the helicity amplitudes is made possible by our
finding analytical solution for relative phase omega_ij between S-wave
amplitudes S_d and S_u of opposite transversity for each set of solutions for
transversity amplitudes A_u(i), A_d(j),i,j=1,2. Of the six possible solutions
for omega_ij only the solution with omega_ij=pi yields physical helicity
amplitudes. Assigning rho^0(770) phase to the dominant P-wave helicity flip
amplitude L_1(ij) necessitates a phase of the S-wave helicity flip amplitude
S_1(ij) that is near to the rho^0(770) phase.These two amplitudes are
consistent with rho^0(770)-f_0(980) mixing. The relative phases omega_ij=pi
satisfy certain selfconsistency relation that must be satisfied in order for
the four sets of solutions A_u(i),A_d(j),i,j=1,2 to be all physical solutions
that can be identified with coevolution amplitudes describing the interaction
of the pion creation process with a quantum environment. This test on phases
omega_ij provides a new test of Kraus representation of the mixed final state
density matrix. We show that the probabilities p_ij determining the final state
rho_f in terms of solution states rho_f(ij) can be determined in measurements
of recoil hyperon polarization in pi(-)p->pi(-)K(+)Lambda0 on polarized target.
| hep-ph | we present the first model independent determination of s and pwave helicity amplitudes from cern measurements of pip pipin on polarized target at small t and dipion masses 5801080 mev the purely analytical determination of the helicity amplitudes is made possible by our finding analytical solution for relative phase omega_ij between swave amplitudes s_d and s_u of opposite transversity for each set of solutions for transversity amplitudes a_ui a_djij12 of the six possible solutions for omega_ij only the solution with omega_ijpi yields physical helicity amplitudes assigning rho0770 phase to the dominant pwave helicity flip amplitude l_1ij necessitates a phase of the swave helicity flip amplitude s_1ij that is near to the rho0770 phasethese two amplitudes are consistent with rho0770f_0980 mixing the relative phases omega_ijpi satisfy certain selfconsistency relation that must be satisfied in order for the four sets of solutions a_uia_djij12 to be all physical solutions that can be identified with coevolution amplitudes describing the interaction of the pion creation process with a quantum environment this test on phases omega_ij provides a new test of kraus representation of the mixed final state density matrix we show that the probabilities p_ij determining the final state rho_f in terms of solution states rho_fij can be determined in measurements of recoil hyperon polarization in pippiklambda0 on polarized target | [['we', 'present', 'the', 'first', 'model', 'independent', 'determination', 'of', 's', 'and', 'pwave', 'helicity', 'amplitudes', 'from', 'cern', 'measurements', 'of', 'pip', 'pipin', 'on', 'polarized', 'target', 'at', 'small', 't', 'and', 'dipion', 'masses', '5801080', 'mev', 'the', 'purely', 'analytical', 'determination', 'of', 'the', 'helicity', 'amplitudes', 'is', 'made', 'possible', 'by', 'our', 'finding', 'analytical', 'solution', 'for', 'relative', 'phase', 'omega_ij', 'between', 'swave', 'amplitudes', 's_d', 'and', 's_u', 'of', 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709.222 | Correlation between the Charged Current Interactions of Light and Heavy
Majorana Neutrinos | The evidence for neutrino oscillations implies that three neutrino flavors
(\nu_e, \nu_\mu, \nu_\tau) must have different mass states (\nu_1, \nu_2,
\nu_3). The most popular idea of generating tiny masses of \nu_i is to
introduce three heavy Majorana neutrinos N_i (for i = 1, 2, 3) into the
standard model and implement the seesaw mechanism. In this approach the
neutrino mixing matrix V appearing in the charged current interactions of \nu_i
is not unitary, and the strength of unitarity violation of V is associated with
the matrix R which describes the strength of charged current interactions of
N_i. We present an explicit parametrization of the correlation between V and R
in terms of nine rotation angles and nine phase angles, which can be measured
or constrained in the precision neutrino oscillation experiments and by
exploring possible signatures of N_i at the LHC and ILC. Two special but viable
scenarios, the Type-I seesaw model with two heavy Majorana neutrinos and the
Type-II seesaw model with one heavy Majorana neutrino and one Higgs triplet,
are taken into account to illustrate the simplified V-R correlation. The
implications of R \neq 0 on the low-energy neutrino phenomenology are also
discussed. In particular, we demonstrate that the non-unitarity of V is
possible to give rise to an appreciable CP-violating asymmetry between \nu_\mu
-> \nu_\tau and \bar{\nu}_\mu -> \bar{\nu}_\tau oscillations with short or
medium baselines.
| hep-ph | the evidence for neutrino oscillations implies that three neutrino flavors nu_e nu_mu nu_tau must have different mass states nu_1 nu_2 nu_3 the most popular idea of generating tiny masses of nu_i is to introduce three heavy majorana neutrinos n_i for i 1 2 3 into the standard model and implement the seesaw mechanism in this approach the neutrino mixing matrix v appearing in the charged current interactions of nu_i is not unitary and the strength of unitarity violation of v is associated with the matrix r which describes the strength of charged current interactions of n_i we present an explicit parametrization of the correlation between v and r in terms of nine rotation angles and nine phase angles which can be measured or constrained in the precision neutrino oscillation experiments and by exploring possible signatures of n_i at the lhc and ilc two special but viable scenarios the typei seesaw model with two heavy majorana neutrinos and the typeii seesaw model with one heavy majorana neutrino and one higgs triplet are taken into account to illustrate the simplified vr correlation the implications of r neq 0 on the lowenergy neutrino phenomenology are also discussed in particular we demonstrate that the nonunitarity of v is possible to give rise to an appreciable cpviolating asymmetry between nu_mu nu_tau and barnu_mu barnu_tau oscillations with short or medium baselines | [['the', 'evidence', 'for', 'neutrino', 'oscillations', 'implies', 'that', 'three', 'neutrino', 'flavors', 'nu_e', 'nu_mu', 'nu_tau', 'must', 'have', 'different', 'mass', 'states', 'nu_1', 'nu_2', 'nu_3', 'the', 'most', 'popular', 'idea', 'of', 'generating', 'tiny', 'masses', 'of', 'nu_i', 'is', 'to', 'introduce', 'three', 'heavy', 'majorana', 'neutrinos', 'n_i', 'for', 'i', '1', '2', '3', 'into', 'the', 'standard', 'model', 'and', 'implement', 'the', 'seesaw', 'mechanism', 'in', 'this', 'approach', 'the', 'neutrino', 'mixing', 'matrix', 'v', 'appearing', 'in', 'the', 'charged', 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709.2221 | First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf
and Electroweak phase transition | It has been argued by Pisarski and Wilczek that finite temperature
restoration of the chiral symmetry SU(Nf) x SU(Nf) is first-order for Nf >=3.
This type of chiral symmetry with a large Nf may appear in the Higgs sector if
one considers models such as walking technicolor theories. We examine the
first-order restoration of the chiral symmetry from the point of view of the
electroweak phase transition. The strength of the transition is estimated in
SU(2) x U(1) gauged linear sigma model by means of the finite temperature
effective potential at one-loop with the ring improvement. Even if the mass of
the neutral scalar boson corresponding to the Higgs boson is larger than 114
GeV, the first-order transition can be strong enough for the electroweak
baryogenesis, as long as the extra massive scalar bosons (required for the
linear realization) are kept heavier than the neutral scalar boson. Explicit
symmetry breaking terms reduce the strength of the first-order transition, but
the transition can remain strongly first-order even when the masses of pseudo
Nambu-Goldstone bosons become as large as the current lower bound of direct
search experiments.
| hep-ph | it has been argued by pisarski and wilczek that finite temperature restoration of the chiral symmetry sunf x sunf is firstorder for nf 3 this type of chiral symmetry with a large nf may appear in the higgs sector if one considers models such as walking technicolor theories we examine the firstorder restoration of the chiral symmetry from the point of view of the electroweak phase transition the strength of the transition is estimated in su2 x u1 gauged linear sigma model by means of the finite temperature effective potential at oneloop with the ring improvement even if the mass of the neutral scalar boson corresponding to the higgs boson is larger than 114 gev the firstorder transition can be strong enough for the electroweak baryogenesis as long as the extra massive scalar bosons required for the linear realization are kept heavier than the neutral scalar boson explicit symmetry breaking terms reduce the strength of the firstorder transition but the transition can remain strongly firstorder even when the masses of pseudo nambugoldstone bosons become as large as the current lower bound of direct search experiments | [['it', 'has', 'been', 'argued', 'by', 'pisarski', 'and', 'wilczek', 'that', 'finite', 'temperature', 'restoration', 'of', 'the', 'chiral', 'symmetry', 'sunf', 'x', 'sunf', 'is', 'firstorder', 'for', 'nf', '3', 'this', 'type', 'of', 'chiral', 'symmetry', 'with', 'a', 'large', 'nf', 'may', 'appear', 'in', 'the', 'higgs', 'sector', 'if', 'one', 'considers', 'models', 'such', 'as', 'walking', 'technicolor', 'theories', 'we', 'examine', 'the', 'firstorder', 'restoration', 'of', 'the', 'chiral', 'symmetry', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'electroweak', 'phase', 'transition', 'the', 'strength', 'of', 'the', 'transition', 'is', 'estimated', 'in', 'su2', 'x', 'u1', 'gauged', 'linear', 'sigma', 'model', 'by', 'means', 'of', 'the', 'finite', 'temperature', 'effective', 'potential', 'at', 'oneloop', 'with', 'the', 'ring', 'improvement', 'even', 'if', 'the', 'mass', 'of', 'the', 'neutral', 'scalar', 'boson', 'corresponding', 'to', 'the', 'higgs', 'boson', 'is', 'larger', 'than', '114', 'gev', 'the', 'firstorder', 'transition', 'can', 'be', 'strong', 'enough', 'for', 'the', 'electroweak', 'baryogenesis', 'as', 'long', 'as', 'the', 'extra', 'massive', 'scalar', 'bosons', 'required', 'for', 'the', 'linear', 'realization', 'are', 'kept', 'heavier', 'than', 'the', 'neutral', 'scalar', 'boson', 'explicit', 'symmetry', 'breaking', 'terms', 'reduce', 'the', 'strength', 'of', 'the', 'firstorder', 'transition', 'but', 'the', 'transition', 'can', 'remain', 'strongly', 'firstorder', 'even', 'when', 'the', 'masses', 'of', 'pseudo', 'nambugoldstone', 'bosons', 'become', 'as', 'large', 'as', 'the', 'current', 'lower', 'bound', 'of', 'direct', 'search', 'experiments']] | [-0.12834509461441682, 0.30197737232744193, -0.018192130244160828, 0.1119429147764537, -0.0807444358118684, -0.189591720501414, 0.019780744949506747, 0.3091522787773126, -0.19042279464444398, -0.2729696477838867, 0.08194233026871509, -0.2709822693915182, -0.07140841592808028, 0.05967041886839512, 0.06961097551912472, 0.0698592570125805, -0.057208236744879064, 0.09476234837485528, -0.11763538273202406, -0.24173105256631972, 0.2821752980395497, -0.012015576466817309, 0.23861972896533237, 0.09311936589687861, 0.064299477661985, -0.005044663702515331, 0.06554098741176563, -0.0483490523932552, -0.08046553363111908, 0.029244839947519672, 0.19223963577212605, 0.0361845532444784, 0.17137922003764558, -0.3416216367503276, -0.2057417509926332, 0.1648238315209243, 0.17764484584079804, 0.1563417113310582, -0.07860746111821484, -0.34337758380617645, 0.1227854048675933, -0.19500673566315624, -0.13832438621367957, -0.08602644161925324, -0.02254238068755414, -0.09907396788633353, -0.30409362340295637, 0.10242465480114334, 0.025553828105330467, 0.08752085617743433, 0.00534087349157277, -0.12688595252363263, -0.12073721933505825, 0.013308972424380732, 0.1455407407770336, 0.06762929766917149, 0.14842852843371598, -0.22248798257834906, -0.1139137151569279, 0.4493917461686038, -0.12724562525022398, -0.12873231282810102, 0.16580516895172312, -0.14691335497254104, -0.12779628970484072, 0.17188518424392552, 0.1446977803244482, 0.09347891757214391, -0.10223398682751025, 0.18496281617742685, -0.03863017178216093, 0.18262348541930143, 0.0462684992209983, 0.04237338284886367, 0.27142181818851746, 0.16705849527733752, 0.06369842573311306, 0.09797885891087857, -0.025099762423417053, -0.12175025032279459, -0.39988520113197534, -0.12928307244484943, -0.11715187304527373, 0.054226640905127736, -0.10763145668370762, -0.12054565017036087, 0.34122077801289996, 0.13340659089499732, 0.2185498565536093, 0.029309175835569967, 0.2573476953205426, 0.17273420173158818, 0.11779489825303491, 0.011206067637917963, 0.30605577951347507, 0.1671711846858867, 0.08296555325237884, -0.24808735262501885, -0.031749419627295855, 0.12638848945498465] |
709.2222 | Stochastic Variational Partitioned Runge-Kutta Integrators for
Constrained Systems | Stochastic variational integrators for constrained, stochastic mechanical
systems are developed in this paper. The main results of the paper are twofold:
an equivalence is established between a stochastic Hamilton-Pontryagin (HP)
principle in generalized coordinates and constrained coordinates via Lagrange
multipliers, and variational partitioned Runge-Kutta (VPRK) integrators are
extended to this class of systems. Among these integrators are first and
second-order strongly convergent RATTLE-type integrators. We prove order of
accuracy of the methods provided. The paper also reviews the deterministic
treatment of VPRK integrators from the HP viewpoint.
| math.NA math.PR | stochastic variational integrators for constrained stochastic mechanical systems are developed in this paper the main results of the paper are twofold an equivalence is established between a stochastic hamiltonpontryagin hp principle in generalized coordinates and constrained coordinates via lagrange multipliers and variational partitioned rungekutta vprk integrators are extended to this class of systems among these integrators are first and secondorder strongly convergent rattletype integrators we prove order of accuracy of the methods provided the paper also reviews the deterministic treatment of vprk integrators from the hp viewpoint | [['stochastic', 'variational', 'integrators', 'for', 'constrained', 'stochastic', 'mechanical', 'systems', 'are', 'developed', 'in', 'this', 'paper', 'the', 'main', 'results', 'of', 'the', 'paper', 'are', 'twofold', 'an', 'equivalence', 'is', 'established', 'between', 'a', 'stochastic', 'hamiltonpontryagin', 'hp', 'principle', 'in', 'generalized', 'coordinates', 'and', 'constrained', 'coordinates', 'via', 'lagrange', 'multipliers', 'and', 'variational', 'partitioned', 'rungekutta', 'vprk', 'integrators', 'are', 'extended', 'to', 'this', 'class', 'of', 'systems', 'among', 'these', 'integrators', 'are', 'first', 'and', 'secondorder', 'strongly', 'convergent', 'rattletype', 'integrators', 'we', 'prove', 'order', 'of', 'accuracy', 'of', 'the', 'methods', 'provided', 'the', 'paper', 'also', 'reviews', 'the', 'deterministic', 'treatment', 'of', 'vprk', 'integrators', 'from', 'the', 'hp', 'viewpoint']] | [-0.14325465653313413, 0.036410790758790904, -0.08818569785216823, 0.06684478572874684, -0.05892144167973172, -0.11626551196622174, -0.0238416092473753, 0.3704068608848112, -0.3514965854673868, -0.2776226915995635, 0.09216982823619176, -0.19628123649662094, -0.17999363800377718, 0.21122021020744883, -0.11762524982692585, 0.09437887015796843, 0.09143238164861464, -0.028706027058779865, -0.15352985349350742, -0.2526478086254515, 0.32784925581377355, 0.004563881010870405, 0.19090997157174916, -0.039961118140213546, 0.16740872438198753, -0.08528093899977171, -0.024311521561771986, 0.03750256213658888, -0.1524422675304647, 0.1857900648333487, 0.2525043735014541, 0.0894723497968655, 0.3365028145711958, -0.42000726812208694, -0.18115592332157707, 0.08825745015028155, 0.14432244072564313, 0.09317822886320452, -0.012434607064018824, -0.3289630058265868, 0.057630347448312455, -0.1668217068294152, -0.12021975144272715, -0.158516448551035, -0.09059913593366564, 0.13871010860783003, -0.24224807336438625, 0.08365328661741278, 0.12698526554907272, 0.07229310026880176, -0.08533933314139999, -0.1223985755239569, 0.020171596349904404, 0.029411517698982998, 0.0579981356498874, -0.041609466508296986, 0.03170684448421179, 0.010402300289743358, -0.16509714126420608, 0.414698877394022, -0.030521378948053877, -0.3035730833542489, 0.1983300719155176, -0.04199495136604777, -0.23764318433435014, 0.11030563004758387, 0.20813486481174118, 0.22694888883935554, -0.2280574686093522, 0.08305277487531948, 0.03940596808457658, 0.11128423853993549, 0.02104841052953686, -0.011138122839232286, 0.0528913969783822, 0.14105998529564767, 0.14469934081924812, 0.09075392186925801, -0.029466281157164348, -0.2146389174519018, -0.342521459374222, -0.1882066614579387, -0.16039634865176464, -0.028631678394352395, -0.058178283650617925, -0.1248777445427896, 0.36239830621828634, 0.13420750781161978, 0.047118756343566236, 0.11886709108616092, 0.2804973176070711, 0.18516639551048034, 0.0016855932328672637, 0.09256902656939235, 0.2432545865982926, 0.1977498104817988, 0.08500151550175533, -0.20060226288790414, 0.010842954165474069, 0.21490529349206813] |
709.2223 | Damping of field-induced chemical potential oscillations in ideal
two-band compensated metals | The field and temperature dependence of the de Haas-van Alphen oscillations
spectrum is studied for an ideal two-dimensional compensated metal. It is shown
that the chemical potential oscillations, involved in the frequency
combinations observed in the case of uncompensated orbits, are strongly damped
and can even be suppressed when the effective masses of the electron- and
hole-type orbits are the same. When magnetic breakdown between bands occurs,
this damping is even more pronounced and the Lifshits-Kosevich formalism
accounts for the data in a wide field range.
| cond-mat.stat-mech | the field and temperature dependence of the de haasvan alphen oscillations spectrum is studied for an ideal twodimensional compensated metal it is shown that the chemical potential oscillations involved in the frequency combinations observed in the case of uncompensated orbits are strongly damped and can even be suppressed when the effective masses of the electron and holetype orbits are the same when magnetic breakdown between bands occurs this damping is even more pronounced and the lifshitskosevich formalism accounts for the data in a wide field range | [['the', 'field', 'and', 'temperature', 'dependence', 'of', 'the', 'de', 'haasvan', 'alphen', 'oscillations', 'spectrum', 'is', 'studied', 'for', 'an', 'ideal', 'twodimensional', 'compensated', 'metal', 'it', 'is', 'shown', 'that', 'the', 'chemical', 'potential', 'oscillations', 'involved', 'in', 'the', 'frequency', 'combinations', 'observed', 'in', 'the', 'case', 'of', 'uncompensated', 'orbits', 'are', 'strongly', 'damped', 'and', 'can', 'even', 'be', 'suppressed', 'when', 'the', 'effective', 'masses', 'of', 'the', 'electron', 'and', 'holetype', 'orbits', 'are', 'the', 'same', 'when', 'magnetic', 'breakdown', 'between', 'bands', 'occurs', 'this', 'damping', 'is', 'even', 'more', 'pronounced', 'and', 'the', 'lifshitskosevich', 'formalism', 'accounts', 'for', 'the', 'data', 'in', 'a', 'wide', 'field', 'range']] | [-0.21681658879496418, 0.24467784146047983, -0.03410943235855463, 0.10171844950216541, -0.029611158986077753, -0.11435078603735324, -0.003753408811293369, 0.32738153419868893, -0.23367179475378158, -0.29852311991068514, 0.0340808076847637, -0.29080084129778105, -0.12363439286127687, 0.26461927283035463, 0.016402107327743325, -0.032538103649046184, -0.0009966272384274838, -0.0009480901793468484, -0.06307463653569738, -0.1951450317811091, 0.30281117040837224, 0.08018617059894685, 0.2984510492100272, 0.04568813152632914, 0.006852812514109754, 0.016672595885993784, 0.07186171994003099, 0.05567593315919472, -0.10668721837934099, -0.019993597349195286, 0.24440554175309318, -0.05915856221149307, 0.20730142731782655, -0.37912420783365186, -0.21169077834590924, 0.082463311919466, 0.1599561238504383, 0.16374890532257946, -0.07600561468567575, -0.26105882529288443, 0.04134547279411277, -0.1141046340209107, -0.15602389181460535, -0.07932422632963375, 0.04173612127927955, -0.0047668755747551144, -0.2844037250507363, 0.15787916017397102, 0.06840761545179196, 0.07892493045953818, -0.10656548322849842, -0.10265705559597632, -0.08935139741921841, 0.07243318401268943, 0.0768503465846744, 0.0114295449267618, 0.15684770560974992, -0.09116265903021274, -0.024682169796379154, 0.3914452525895349, -0.10470412319612711, -0.11648532258736533, 0.18712962234695985, -0.2625426949586633, -0.052815670483247486, 0.1696724308151102, 0.10538778438904257, 0.1110423180913596, -0.13101308476646853, 0.12492652368991701, 0.030393646055356015, 0.13820035908598627, 0.08692073146271151, 0.05178460390523596, 0.2702772002017429, 0.16122240293771029, 0.028777140636690134, 0.04082778200092942, -0.12057134579071169, -0.03552642030381532, -0.2150834224425083, -0.11269540740905477, -0.17083251215842402, 0.01231454427592283, -0.061352120424745346, -0.1818015587926967, 0.4020950191134457, 0.11681836057822545, 0.1935496283370222, -0.0290692787601201, 0.27417584508657455, 0.18350427849001663, 0.07629372464861114, 0.059936868893199186, 0.27568184656935724, 0.16812884256102925, 0.12747627871414258, -0.294110250139479, 0.02650886165996104, -0.04446814997598182] |
709.2224 | Self-similar dilatation structures and automata | We show that on the boundary of the dyadic tree, any self-similar dilatation
structure induces a web of interacting automata. This is a short version, for
publication, of the paper arXiv:math/0612509v2
| math.MG cs.DM | we show that on the boundary of the dyadic tree any selfsimilar dilatation structure induces a web of interacting automata this is a short version for publication of the paper arxivmath0612509v2 | [['we', 'show', 'that', 'on', 'the', 'boundary', 'of', 'the', 'dyadic', 'tree', 'any', 'selfsimilar', 'dilatation', 'structure', 'induces', 'a', 'web', 'of', 'interacting', 'automata', 'this', 'is', 'a', 'short', 'version', 'for', 'publication', 'of', 'the', 'paper', 'arxivmath0612509v2']] | [-0.21138874863584836, 0.15710185204322138, -0.09147332527985176, 0.07518333091090122, -0.09891183444609244, -0.03160967550550898, 0.04020247102792685, 0.3544370343287786, -0.2816448340813319, -0.17917875976612171, 0.07751267824011544, -0.26782012892266116, -0.19400053101902207, 0.1516320690823098, -0.051434102654457095, -0.02701055258512497, 0.14249300577988228, 0.10414091614075005, -0.0367368157254532, -0.22798108165928474, 0.39158442442615826, 0.017705220310017467, 0.26925565286849934, 0.07339546121656895, 0.10646039458612601, 0.041134637858097754, -0.058757253798345725, 0.07299378405635555, -0.151059912712905, 0.1577175273404767, 0.16984618722926825, 0.12704142529206972, 0.2502067092262829, -0.38919477195789415, -0.17112326938658953, 0.12412114736313622, 0.11633002401019137, 0.13446006905287505, -0.03443174275647228, -0.26781943496316674, 0.11337944033245245, -0.17487091437603036, -0.11149955966199437, 0.03870286472762625, 0.04846906969323754, 0.025480878042678037, -0.23998632756411098, 0.049140737671405074, 0.15053201718255876, 0.07828261544927954, -0.05666939054305355, 0.00452601353948315, -0.012960375162462394, 0.08890835305986305, -0.010255291382782162, 0.05518193507256607, 0.08159677847288549, -0.08990208834875375, -0.1626274642224113, 0.39008870360751946, -0.12155798788492879, -0.18777364088843265, 0.18375001611808936, -0.10842180031662187, -0.21423900860051315, 0.08177810863902171, 0.1591367942591508, 0.07807374130934477, -0.17991884509295536, 0.19680821110183994, -0.16391384781260665, 0.2008875358228882, 0.1132744627383848, -0.04310506555872659, 0.1438685471502443, 0.22145827173565824, 0.13299110848456622, 0.21163540116200844, 0.017388743162155152, -0.05576828721289833, -0.3407953653484583, -0.20028712544299196, -0.1600539189996198, 0.07874202793464065, -0.10144808876017729, -0.31404901755352815, 0.4369894908120235, 0.15550383838514487, 0.1543353467558821, 0.1641856791684404, 0.23512299197415512, 0.10119412015192211, 0.06769226022685568, 0.07840814453860125, 0.08190966627250115, 0.08888616630186637, 0.10586434778136512, -0.16335812979377806, 0.07446386228936414, 0.18788283195657035] |
709.2225 | Improved Linear Parallel Interference Cancellers | In this paper, taking the view that a linear parallel interference canceller
(LPIC) can be seen as a linear matrix filter, we propose new linear matrix
filters that can result in improved bit error performance compared to other
LPICs in the literature. The motivation for the proposed filters arises from
the possibility of avoiding the generation of certain interference and noise
terms in a given stage that would have been present in a conventional LPIC
(CLPIC). In the proposed filters, we achieve such avoidance of the generation
of interference and noise terms in a given stage by simply making the diagonal
elements of a certain matrix in that stage equal to zero. Hence, the proposed
filters do not require additional complexity compared to the CLPIC, and they
can allow achieving a certain error performance using fewer LPIC stages. We
also extend the proposed matrix filter solutions to a multicarrier DS-CDMA
system, where we consider two types of receivers. In one receiver (referred to
as Type-I receiver), LPIC is performed on each subcarrier first, followed by
multicarrier combining (MCC). In the other receiver (called Type-II receiver),
MCC is performed first, followed by LPIC. We show that in both Type-I and
Type-II receivers, the proposed matrix filters outperform other matrix filters.
Also, Type-II receiver performs better than Type-I receiver because of enhanced
accuracy of the interference estimates achieved due to frequency diversity
offered by MCC.
| cs.IT cs.SC cs.SD cs.SE math.IT | in this paper taking the view that a linear parallel interference canceller lpic can be seen as a linear matrix filter we propose new linear matrix filters that can result in improved bit error performance compared to other lpics in the literature the motivation for the proposed filters arises from the possibility of avoiding the generation of certain interference and noise terms in a given stage that would have been present in a conventional lpic clpic in the proposed filters we achieve such avoidance of the generation of interference and noise terms in a given stage by simply making the diagonal elements of a certain matrix in that stage equal to zero hence the proposed filters do not require additional complexity compared to the clpic and they can allow achieving a certain error performance using fewer lpic stages we also extend the proposed matrix filter solutions to a multicarrier dscdma system where we consider two types of receivers in one receiver referred to as typei receiver lpic is performed on each subcarrier first followed by multicarrier combining mcc in the other receiver called typeii receiver mcc is performed first followed by lpic we show that in both typei and typeii receivers the proposed matrix filters outperform other matrix filters also typeii receiver performs better than typei receiver because of enhanced accuracy of the interference estimates achieved due to frequency diversity offered by mcc | [['in', 'this', 'paper', 'taking', 'the', 'view', 'that', 'a', 'linear', 'parallel', 'interference', 'canceller', 'lpic', 'can', 'be', 'seen', 'as', 'a', 'linear', 'matrix', 'filter', 'we', 'propose', 'new', 'linear', 'matrix', 'filters', 'that', 'can', 'result', 'in', 'improved', 'bit', 'error', 'performance', 'compared', 'to', 'other', 'lpics', 'in', 'the', 'literature', 'the', 'motivation', 'for', 'the', 'proposed', 'filters', 'arises', 'from', 'the', 'possibility', 'of', 'avoiding', 'the', 'generation', 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709.2226 | Discovery of Bragg confined hybrid modes with high Q-factor in a hollow
dielectric resonator | The authors report on observation of Bragg confined mode in a hollow
cylindrical dielectric cavity. A resonance was observed at 13.4 $GHz$ with an
unloaded Q-factor of order $2\times10^5$, which is more than a factor of 6
above the dielectric loss limit. Previously such modes have only been realized
from pure Transverse Electric modes with no azimuthal variations and only the
$E_{\phi}$ component. From rigorous numeric simulations it is shown that the
mode is a hybrid mode with non-zero azimuthal variations and with dominant
$E_r$ and $E_{\phi}$ electric field components and $H_z$ magnetic field
component.
| physics.optics physics.ins-det | the authors report on observation of bragg confined mode in a hollow cylindrical dielectric cavity a resonance was observed at 134 ghz with an unloaded qfactor of order 2times105 which is more than a factor of 6 above the dielectric loss limit previously such modes have only been realized from pure transverse electric modes with no azimuthal variations and only the e_phi component from rigorous numeric simulations it is shown that the mode is a hybrid mode with nonzero azimuthal variations and with dominant e_r and e_phi electric field components and h_z magnetic field component | [['the', 'authors', 'report', 'on', 'observation', 'of', 'bragg', 'confined', 'mode', 'in', 'a', 'hollow', 'cylindrical', 'dielectric', 'cavity', 'a', 'resonance', 'was', 'observed', 'at', '134', 'ghz', 'with', 'an', 'unloaded', 'qfactor', 'of', 'order', '2times105', 'which', 'is', 'more', 'than', 'a', 'factor', 'of', '6', 'above', 'the', 'dielectric', 'loss', 'limit', 'previously', 'such', 'modes', 'have', 'only', 'been', 'realized', 'from', 'pure', 'transverse', 'electric', 'modes', 'with', 'no', 'azimuthal', 'variations', 'and', 'only', 'the', 'e_phi', 'component', 'from', 'rigorous', 'numeric', 'simulations', 'it', 'is', 'shown', 'that', 'the', 'mode', 'is', 'a', 'hybrid', 'mode', 'with', 'nonzero', 'azimuthal', 'variations', 'and', 'with', 'dominant', 'e_r', 'and', 'e_phi', 'electric', 'field', 'components', 'and', 'h_z', 'magnetic', 'field', 'component']] | [-0.16407874267009137, 0.20031450306644394, -0.0521004325808271, -0.04584927758612474, -0.06136582393787409, -0.11597436585610635, -0.015503039952416562, 0.42347767078562787, -0.16444785085163618, -0.3159709273004218, 0.05541168054639313, -0.2830518104528126, -0.06622063055830567, 0.17940207289433793, 0.049797667131612176, 0.02810040456978114, 0.015763054491559927, 0.030645041447132825, -0.004489797978710971, -0.10952660260035803, 0.2575139261622864, 0.04660543472212004, 0.29810776028684094, 0.03888498465775659, 0.09353242636547963, -0.044946529211378414, 0.05281595237259018, 0.035730498509579586, -0.09329874249164469, 0.03288832403915493, 0.1900833533978776, -0.05110094233440529, 0.22529493551211138, -0.398002198397329, -0.1866437453531513, 0.03642650630913283, 0.15366147230134197, 0.08137338902972835, -0.017950308655762408, -0.23192570148722122, 0.0600851987194466, -0.1571681017938413, -0.15766999112736238, -0.03753517707319636, 0.05604405020069527, -0.025781326260613767, -0.31420103227229496, 0.11485270074519673, 0.05967495200273238, 0.1331657081254219, -0.06156685975331225, -0.14211634293100553, -0.04522384208823113, -0.002681577724012497, 0.07184729907710694, 0.10605835566101106, 0.17769648203822344, -0.08839238187800602, -0.09653564716052068, 0.32496925923287084, -0.09399632591414143, -0.1482032281591704, 0.1596259657930779, -0.21421858924686124, -0.010247798911050746, 0.21472042985750656, 0.12588181771141918, 0.08667034627379555, -0.08429975830214588, 0.03291769986236958, -0.013621101342141628, 0.2671398843001378, 0.15591432139473527, 0.040614936465250426, 0.22911546969492186, 0.12855767018504832, 0.021014734376512932, 0.12479532846298656, -0.1349806850261398, -0.005122680373881992, -0.2780725480057299, -0.1222862953742917, -0.16153494440736005, 0.042146639146008774, -0.05790575445617402, -0.15379544488785446, 0.4124691030010581, 0.027042474024193852, 0.16348041097731575, -0.039446519943885504, 0.3215551216473901, 0.1542780970223248, 0.1326151984400655, 0.10250017749831865, 0.3546504892016712, 0.2264118468388915, 0.11822359412418385, -0.23156652754466783, -0.018498946466532194, -0.05733424523649247] |
709.2227 | On the Magnitude of Dark Energy Voids and Overdensities | We investigate the clustering of dark energy within matter overdensities and
voids. In particular, we derive an analytical expression for the dark energy
density perturbations, which is valid both in the linear, quasi-linear and
fully non-linear regime of structure formation. We also investigate the
possibility of detecting such dark energy clustering through the ISW effect. In
the case of uncoupled quintessence models, if the mass of the field is of order
the Hubble scale today or smaller, dark energy fluctuations are always small
compared to the matter density contrast. Even when the matter perturbations
enter the non-linear regime, the dark energy perturbations remain linear. We
find that virialised clusters and voids correspond to local overdensities in
dark energy, with $\delta_{\phi}/(1+w) \sim \Oo(10^{-5})$ for voids,
$\delta_{\phi}/(1+w) \sim \Oo(10^{-4})$ for super-voids and
$\delta_{\phi}/(1+w) \sim \Oo(10^{-5})$ for a typical virialised cluster. If
voids with radii of $100-300 {\rm Mpc}$ exist within the visible Universe then
$\delta_{\phi}$ may be as large as $10^{-3}(1+w)$. Linear overdensities of
matter and super-clusters generally correspond to local voids in dark energy;
for a typical super-cluster: $\delta_{\phi}/(1+w) \sim \Oo(-10^{-5})$. The
approach taken in this work could be straightforwardly extended to study the
clustering of more general dark energy models.
| astro-ph | we investigate the clustering of dark energy within matter overdensities and voids in particular we derive an analytical expression for the dark energy density perturbations which is valid both in the linear quasilinear and fully nonlinear regime of structure formation we also investigate the possibility of detecting such dark energy clustering through the isw effect in the case of uncoupled quintessence models if the mass of the field is of order the hubble scale today or smaller dark energy fluctuations are always small compared to the matter density contrast even when the matter perturbations enter the nonlinear regime the dark energy perturbations remain linear we find that virialised clusters and voids correspond to local overdensities in dark energy with delta_phi1w sim oo105 for voids delta_phi1w sim oo104 for supervoids and delta_phi1w sim oo105 for a typical virialised cluster if voids with radii of 100300 rm mpc exist within the visible universe then delta_phi may be as large as 1031w linear overdensities of matter and superclusters generally correspond to local voids in dark energy for a typical supercluster delta_phi1w sim oo105 the approach taken in this work could be straightforwardly extended to study the clustering of more general dark energy models | [['we', 'investigate', 'the', 'clustering', 'of', 'dark', 'energy', 'within', 'matter', 'overdensities', 'and', 'voids', 'in', 'particular', 'we', 'derive', 'an', 'analytical', 'expression', 'for', 'the', 'dark', 'energy', 'density', 'perturbations', 'which', 'is', 'valid', 'both', 'in', 'the', 'linear', 'quasilinear', 'and', 'fully', 'nonlinear', 'regime', 'of', 'structure', 'formation', 'we', 'also', 'investigate', 'the', 'possibility', 'of', 'detecting', 'such', 'dark', 'energy', 'clustering', 'through', 'the', 'isw', 'effect', 'in', 'the', 'case', 'of', 'uncoupled', 'quintessence', 'models', 'if', 'the', 'mass', 'of', 'the', 'field', 'is', 'of', 'order', 'the', 'hubble', 'scale', 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709.2228 | Electronic structure of spin 1/2 Heisenberg antiferromagnetic systems:
Ba_2Cu(PO_4)_2 and Sr_2Cu(PO_4)_2 | We have employed first principles calculations to study the electronic
structure and magnetic properties of the low-dimensional phosphates,
Ba2Cu(PO4)2 and Sr2Cu(PO4)2. Using the self-consistent tight-binding lin-
earized muffin-tin orbital method and the Nth order muffin-tin orbital method,
we have calculated the various intrachain as well as the interchain hopping
parameters between the magnetic ions Cu2+ for both the com- pounds. We find
that the nearest-neighbor intrachain hopping t is the dominant interaction
suggesting the compounds to be indeed one dimensional. Our analysis of the band
dispersion, orbital projected band struc- tures, and the hopping parameters
confirms that the Cu2+-Cu2+ super-super exchange interaction takes place along
the crystallographic b direction mediated by O-P-O. We have also analyzed in
detail the origin of short-range exchange interaction for these systems. Our ab
initio estimate of the ratio of the exchange inter- action of Sr2Cu(PO4)2 to
that of Ba2Cu(PO4)2 compares excellently with available experimental results.
| cond-mat.str-el | we have employed first principles calculations to study the electronic structure and magnetic properties of the lowdimensional phosphates ba2cupo42 and sr2cupo42 using the selfconsistent tightbinding lin earized muffintin orbital method and the nth order muffintin orbital method we have calculated the various intrachain as well as the interchain hopping parameters between the magnetic ions cu2 for both the com pounds we find that the nearestneighbor intrachain hopping t is the dominant interaction suggesting the compounds to be indeed one dimensional our analysis of the band dispersion orbital projected band struc tures and the hopping parameters confirms that the cu2cu2 supersuper exchange interaction takes place along the crystallographic b direction mediated by opo we have also analyzed in detail the origin of shortrange exchange interaction for these systems our ab initio estimate of the ratio of the exchange inter action of sr2cupo42 to that of ba2cupo42 compares excellently with available experimental results | [['we', 'have', 'employed', 'first', 'principles', 'calculations', 'to', 'study', 'the', 'electronic', 'structure', 'and', 'magnetic', 'properties', 'of', 'the', 'lowdimensional', 'phosphates', 'ba2cupo42', 'and', 'sr2cupo42', 'using', 'the', 'selfconsistent', 'tightbinding', 'lin', 'earized', 'muffintin', 'orbital', 'method', 'and', 'the', 'nth', 'order', 'muffintin', 'orbital', 'method', 'we', 'have', 'calculated', 'the', 'various', 'intrachain', 'as', 'well', 'as', 'the', 'interchain', 'hopping', 'parameters', 'between', 'the', 'magnetic', 'ions', 'cu2', 'for', 'both', 'the', 'com', 'pounds', 'we', 'find', 'that', 'the', 'nearestneighbor', 'intrachain', 'hopping', 't', 'is', 'the', 'dominant', 'interaction', 'suggesting', 'the', 'compounds', 'to', 'be', 'indeed', 'one', 'dimensional', 'our', 'analysis', 'of', 'the', 'band', 'dispersion', 'orbital', 'projected', 'band', 'struc', 'tures', 'and', 'the', 'hopping', 'parameters', 'confirms', 'that', 'the', 'cu2cu2', 'supersuper', 'exchange', 'interaction', 'takes', 'place', 'along', 'the', 'crystallographic', 'b', 'direction', 'mediated', 'by', 'opo', 'we', 'have', 'also', 'analyzed', 'in', 'detail', 'the', 'origin', 'of', 'shortrange', 'exchange', 'interaction', 'for', 'these', 'systems', 'our', 'ab', 'initio', 'estimate', 'of', 'the', 'ratio', 'of', 'the', 'exchange', 'inter', 'action', 'of', 'sr2cupo42', 'to', 'that', 'of', 'ba2cupo42', 'compares', 'excellently', 'with', 'available', 'experimental', 'results']] | [-0.1858174586383512, 0.12491829247771427, -0.019878711507079146, 0.05246221935329008, -0.029967020558776196, -0.10917319582306406, 0.06690204740964434, 0.4290714672937685, -0.2814553597954666, -0.28943846802715034, -0.036496113110682134, -0.3223012937803049, -0.14175447218672874, 0.1518591385561225, 0.13173947890675594, -0.02027963794653817, 0.04463112619420399, -0.025829161845185623, -0.07735437957322872, -0.21432100737556106, 0.2462791333190438, 0.056726722826002815, 0.23736013246535445, 0.08232162986584261, 0.034369808051507085, 0.0833942448089951, 0.07446777662198965, -0.0026149959715247965, -0.1623004057727652, 0.12963848546160017, 0.20200383492078644, -0.06840579104641466, 0.17300085971911192, -0.4087107570106987, -0.18801491768384465, -0.025590158083482462, 0.14578747091225672, 0.13395044258890712, -0.006315799201933705, -0.2797636698272561, 0.030199175615015686, -0.19028477236425795, -0.09856099837149183, -0.13906867860429953, 0.01639831524348634, 0.08312354460643719, -0.2785412461808122, 0.11550110223886025, 0.024807090979531966, 0.09331016426348265, -0.15542413225891638, -0.1762760547338193, -0.11771830913474543, 0.11044140476226603, 0.07630300080105916, 0.06308431953958356, 0.10746065344103947, -0.01580613113205831, -0.11939860940562422, 0.40004741573044206, -0.06841088390471983, -0.11902269391583747, 0.17701961383933112, -0.144724195922066, -0.1129626932674322, 0.10421393864287608, 0.09930046592192839, 0.070576531780871, -0.15294479317432522, 0.10427220522894898, 0.005585765890574374, 0.16755723935982758, 0.0009290153670701242, 0.0374061410017565, 0.173537220878742, 0.1427518592412476, -0.0022539023791446166, 0.09470244734722259, -0.15720281694527893, -0.11641704776406693, -0.2146264034177677, -0.13154580170402722, -0.23534285840910993, -0.006156755523395022, -0.10611003375696144, -0.1571500923351518, 0.4153019168927353, 0.18689255900071225, 0.16642894753299298, -0.032320884282884446, 0.23432552332983536, 0.09421726703947904, 0.07339656458047795, 0.042743054449837024, 0.2673356928007335, 0.18197395891223583, 0.06114253652009632, -0.32412619336641263, 0.07558787171808103, 0.07420691743265001] |
709.2229 | Novel QCD Effects from Initial and Final State Interactions | Initial-state and final-state interactions, which are conventionally
neglected in the parton model, have a profound effect in QCD hard-scattering
reactions. These effects, which arise from gluon exchange between the active
and spectator quarks, cause leading-twist single-spin asymmetries, diffractive
deep inelastic scattering, diffractive hard hadronic reactions, and the
breakdown of the Lam-Tung relation in Drell-Yan reactions. Diffractive deep
inelastic scattering also leads to nuclear shadowing and non-universal
antishadowing of nuclear structure functions through multiple scattering
reactions in the nuclear target. Factorization-breaking effects are
particularly important for hard hadron interactions since both initial-state
and final-state interactions appear. Related factorization breaking effects can
also appear in exclusive electroproduction reactions and in deeply virtual
Compton scattering. None of the effects of initial-state and final-state
interactions are incorporated in the light-front wavefunctions of the target
hadron computed in isolation.
| hep-ph | initialstate and finalstate interactions which are conventionally neglected in the parton model have a profound effect in qcd hardscattering reactions these effects which arise from gluon exchange between the active and spectator quarks cause leadingtwist singlespin asymmetries diffractive deep inelastic scattering diffractive hard hadronic reactions and the breakdown of the lamtung relation in drellyan reactions diffractive deep inelastic scattering also leads to nuclear shadowing and nonuniversal antishadowing of nuclear structure functions through multiple scattering reactions in the nuclear target factorizationbreaking effects are particularly important for hard hadron interactions since both initialstate and finalstate interactions appear related factorization breaking effects can also appear in exclusive electroproduction reactions and in deeply virtual compton scattering none of the effects of initialstate and finalstate interactions are incorporated in the lightfront wavefunctions of the target hadron computed in isolation | [['initialstate', 'and', 'finalstate', 'interactions', 'which', 'are', 'conventionally', 'neglected', 'in', 'the', 'parton', 'model', 'have', 'a', 'profound', 'effect', 'in', 'qcd', 'hardscattering', 'reactions', 'these', 'effects', 'which', 'arise', 'from', 'gluon', 'exchange', 'between', 'the', 'active', 'and', 'spectator', 'quarks', 'cause', 'leadingtwist', 'singlespin', 'asymmetries', 'diffractive', 'deep', 'inelastic', 'scattering', 'diffractive', 'hard', 'hadronic', 'reactions', 'and', 'the', 'breakdown', 'of', 'the', 'lamtung', 'relation', 'in', 'drellyan', 'reactions', 'diffractive', 'deep', 'inelastic', 'scattering', 'also', 'leads', 'to', 'nuclear', 'shadowing', 'and', 'nonuniversal', 'antishadowing', 'of', 'nuclear', 'structure', 'functions', 'through', 'multiple', 'scattering', 'reactions', 'in', 'the', 'nuclear', 'target', 'factorizationbreaking', 'effects', 'are', 'particularly', 'important', 'for', 'hard', 'hadron', 'interactions', 'since', 'both', 'initialstate', 'and', 'finalstate', 'interactions', 'appear', 'related', 'factorization', 'breaking', 'effects', 'can', 'also', 'appear', 'in', 'exclusive', 'electroproduction', 'reactions', 'and', 'in', 'deeply', 'virtual', 'compton', 'scattering', 'none', 'of', 'the', 'effects', 'of', 'initialstate', 'and', 'finalstate', 'interactions', 'are', 'incorporated', 'in', 'the', 'lightfront', 'wavefunctions', 'of', 'the', 'target', 'hadron', 'computed', 'in', 'isolation']] | [-0.043051594260162605, 0.31868254958387854, -0.18858918668476365, 0.270687269019102, -0.037448880554579976, -0.06181280064890022, -0.03726319317817132, 0.3855510145815006, -0.24730888124444148, -0.16945207829295256, -0.12574197195553735, -0.33779804773781613, -0.04242302298045425, 0.053650667951720306, 0.13267044795315658, 0.11780447781054693, 0.07372451323056732, -0.0905762993619402, 0.006572778176849902, -0.15948342018823292, 0.39959149368093416, 0.041750025844684485, 0.19306184080387676, 0.2999529525456922, 0.026498715250766768, 0.20667536155348504, -0.06888364341957912, -0.08874253807728415, 0.0035179805865427896, 0.025928088206686635, 0.3413230884236409, 0.0006802602911736371, 0.04875159262568315, -0.47702925439590393, -0.14601160544874286, 0.09213815783558817, 0.19997707986509178, 0.10958386090090637, -0.05692982884930141, -0.2649659566423133, -0.05183444609830795, -0.2761714210831074, -0.09108346412236344, -0.13521844982482326, -0.01554511374804372, -0.011940746366588482, -0.3146454313020187, 0.08723016070339258, -0.01607423950223002, -0.004927028846273672, -0.013825680841622291, -0.23499875412141877, -0.026574284887747532, 0.06351432520479186, 0.11036465946522389, 0.07616427772740986, 0.24299200982856217, -0.2634896597018771, -0.1882023278192909, 0.42656308247832886, 0.07756419141547505, -0.18893714636953465, 0.15148665361565106, -0.2445224037866539, -0.17238336377916164, 0.22319839017660315, 0.2974120873624264, 0.06995590861170872, -0.2492661641136597, 0.0980850315306148, 0.03880578400080662, 0.11654216689474658, 0.10691062549699042, 0.13227625784234825, 0.15257123842793727, 0.19346449406706354, -0.16633744818095897, 0.04280952117475333, -0.1361414646319767, -0.13806200726652768, -0.3778674360890282, 0.01774218160904068, -0.04065468200306936, 0.0827363314499745, -0.07942965125880959, -0.10814821495285341, 0.24733656705982648, 0.07690530689780725, 0.23856511868105562, -0.08388868103380691, 0.34939060360540763, 0.07308153757033174, 0.11843506744089745, 0.02604299395192248, 0.34361844682899206, 0.22369690363837488, 0.12466650256372766, -0.3274686983282636, 0.11474447798091612, 0.009275211536593964] |
709.223 | Hard X-ray Variability of AGN | Aims: Active Galactic Nuclei are known to be variable throughout the
electromagnetic spectrum. An energy domain poorly studied in this respect is
the hard X-ray range above 20 keV.
Methods: The first 9 months of the Swift/BAT all-sky survey are used to study
the 14 - 195 keV variability of the 44 brightest AGN. The sources have been
selected due to their detection significance of >10 sigma. We tested the
variability using a maximum likelihood estimator and by analysing the structure
function.
Results: Probing different time scales, it appears that the absorbed AGN are
more variable than the unabsorbed ones. The same applies for the comparison of
Seyfert 2 and Seyfert 1 objects. As expected the blazars show stronger
variability. 15% of the non-blazar AGN show variability of >20% compared to the
average flux on time scales of 20 days, and 30% show at least 10% flux
variation. All the non-blazar AGN which show strong variability are
low-luminosity objects with L(14-195 keV) < 1E44 erg/sec.
Conclusions: Concerning the variability pattern, there is a tendency of
unabsorbed or type 1 galaxies being less variable than the absorbed or type 2
objects at hardest X-rays. A more solid anti-correlation is found between
variability and luminosity, which has been previously observed in soft X-rays,
in the UV, and in the optical domain.
| astro-ph | aims active galactic nuclei are known to be variable throughout the electromagnetic spectrum an energy domain poorly studied in this respect is the hard xray range above 20 kev methods the first 9 months of the swiftbat allsky survey are used to study the 14 195 kev variability of the 44 brightest agn the sources have been selected due to their detection significance of 10 sigma we tested the variability using a maximum likelihood estimator and by analysing the structure function results probing different time scales it appears that the absorbed agn are more variable than the unabsorbed ones the same applies for the comparison of seyfert 2 and seyfert 1 objects as expected the blazars show stronger variability 15 of the nonblazar agn show variability of 20 compared to the average flux on time scales of 20 days and 30 show at least 10 flux variation all the nonblazar agn which show strong variability are lowluminosity objects with l14195 kev 1e44 ergsec conclusions concerning the variability pattern there is a tendency of unabsorbed or type 1 galaxies being less variable than the absorbed or type 2 objects at hardest xrays a more solid anticorrelation is found between variability and luminosity which has been previously observed in soft xrays in the uv and in the optical domain | [['aims', 'active', 'galactic', 'nuclei', 'are', 'known', 'to', 'be', 'variable', 'throughout', 'the', 'electromagnetic', 'spectrum', 'an', 'energy', 'domain', 'poorly', 'studied', 'in', 'this', 'respect', 'is', 'the', 'hard', 'xray', 'range', 'above', '20', 'kev', 'methods', 'the', 'first', '9', 'months', 'of', 'the', 'swiftbat', 'allsky', 'survey', 'are', 'used', 'to', 'study', 'the', '14', '195', 'kev', 'variability', 'of', 'the', '44', 'brightest', 'agn', 'the', 'sources', 'have', 'been', 'selected', 'due', 'to', 'their', 'detection', 'significance', 'of', '10', 'sigma', 'we', 'tested', 'the', 'variability', 'using', 'a', 'maximum', 'likelihood', 'estimator', 'and', 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'objects', 'at', 'hardest', 'xrays', 'a', 'more', 'solid', 'anticorrelation', 'is', 'found', 'between', 'variability', 'and', 'luminosity', 'which', 'has', 'been', 'previously', 'observed', 'in', 'soft', 'xrays', 'in', 'the', 'uv', 'and', 'in', 'the', 'optical', 'domain']] | [-0.028852353319827537, 0.11911155979955597, -0.020755297689767624, 0.18850409290731746, -0.07032514020425475, -0.10396867548762304, 0.0430858624642025, 0.4783211331297126, -0.1528800859491134, -0.4060891884871159, 0.10360213791675589, -0.3674164086826042, 0.00773896393258366, 0.19676023092405456, -0.03407530337830798, -0.01883719546108127, -0.021649801401374, -0.07188037872159232, -0.02324934643844177, -0.25570201198139264, 0.2428141148088293, 0.07709104267242192, 0.1998243637197582, -0.02730081352668397, 0.07558583211222733, -0.07546439649687037, -0.09302645813295385, -0.017878021641755133, -0.045102759854200015, 0.05488182937821235, 0.26122102587531254, 0.09386373782035662, 0.24551717687076977, 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709.2231 | Biased random walks on complex networks: the role of local navigation
rules | We study the biased random walk process in random uncorrelated networks with
arbitrary degree distributions. In our model, the bias is defined by the
preferential transition probability, which, in recent years, has been commonly
used to study efficiency of different routing protocols in communication
networks. We derive exact expressions for the stationary occupation
probability, and for the mean transit time between two nodes. The effect of the
cyclic search on transit times is also explored. Results presented in this
paper give the basis for theoretical treatment of the transport-related
problems on complex networks, including quantitative estimation of the critical
value of the packet generation rate.
| cond-mat.dis-nn cond-mat.stat-mech | we study the biased random walk process in random uncorrelated networks with arbitrary degree distributions in our model the bias is defined by the preferential transition probability which in recent years has been commonly used to study efficiency of different routing protocols in communication networks we derive exact expressions for the stationary occupation probability and for the mean transit time between two nodes the effect of the cyclic search on transit times is also explored results presented in this paper give the basis for theoretical treatment of the transportrelated problems on complex networks including quantitative estimation of the critical value of the packet generation rate | [['we', 'study', 'the', 'biased', 'random', 'walk', 'process', 'in', 'random', 'uncorrelated', 'networks', 'with', 'arbitrary', 'degree', 'distributions', 'in', 'our', 'model', 'the', 'bias', 'is', 'defined', 'by', 'the', 'preferential', 'transition', 'probability', 'which', 'in', 'recent', 'years', 'has', 'been', 'commonly', 'used', 'to', 'study', 'efficiency', 'of', 'different', 'routing', 'protocols', 'in', 'communication', 'networks', 'we', 'derive', 'exact', 'expressions', 'for', 'the', 'stationary', 'occupation', 'probability', 'and', 'for', 'the', 'mean', 'transit', 'time', 'between', 'two', 'nodes', 'the', 'effect', 'of', 'the', 'cyclic', 'search', 'on', 'transit', 'times', 'is', 'also', 'explored', 'results', 'presented', 'in', 'this', 'paper', 'give', 'the', 'basis', 'for', 'theoretical', 'treatment', 'of', 'the', 'transportrelated', 'problems', 'on', 'complex', 'networks', 'including', 'quantitative', 'estimation', 'of', 'the', 'critical', 'value', 'of', 'the', 'packet', 'generation', 'rate']] | [-0.1450569286765087, 0.09772348276649913, -0.048982242233164254, 0.05328789960790129, 0.010482066594773815, -0.1255648995971396, 0.08873847005112717, 0.4017587589011306, -0.21499409606192438, -0.28791156920293964, 0.07703841380841497, -0.2470369549556857, -0.16950924400949763, 0.1794433007970275, -0.059198027849197386, 0.11156399921026258, 0.05687398721597024, 0.042439795875300966, -0.022943321025619905, -0.26717382903720827, 0.29021848101789754, 0.07052841204928145, 0.3294139763074262, 0.05499515787010924, 0.06497477663991352, 0.05100787197284046, -0.05990324863787031, 0.001839590050457489, -0.18289706014052387, 0.09902022823780066, 0.2154964417529603, 0.12642230686642938, 0.2662012646196499, -0.4202502059794608, -0.26201327652892187, 0.1532682925529246, 0.13432488882459612, 0.12467312169194754, -0.040666238078847526, -0.2839670475616696, 0.0687241547297509, -0.1611499023281448, -0.09153644438566906, -0.006421855510035086, 0.058226709941490776, 0.0847953183088629, -0.27591216716737976, 0.09956628567001427, 0.014706398041120597, 0.05531550621879952, -0.01413095287002978, -0.11958455583524136, 0.021931940753988566, 0.15043693569799263, 0.03175397896557115, 0.004835728369653225, 0.08682652419554956, -0.10772487415399934, -0.1843149866731394, 0.3553517661329048, -0.055444492763351824, -0.19225853835454298, 0.14931805663786474, -0.1316338607110083, -0.1482137848312656, 0.0996873361812461, 0.24278094284236432, 0.13056187811085865, -0.16234446367514985, 0.024064905045088382, -0.017823099708628085, 0.10225389113738423, 0.036322501771861596, 0.03674974638880009, 0.15974165332902754, 0.17720733067641656, 0.09027901117335119, 0.13231101065563658, -0.10174540807714774, -0.17848536116736277, -0.2370164402361427, -0.12547082283999772, -0.20054355005600621, 0.04693548069779007, -0.13624079576014386, -0.15724701319732481, 0.43367753889234295, 0.19484346178360284, 0.19843842460818234, 0.11572088889799835, 0.3092850337825006, 0.16678974134958394, 0.006743845999950454, 0.05719546437086094, 0.19589463372027413, 0.12572895037675544, 0.08329113316500471, -0.17950922927065266, 0.15458845545515595, 0.044395133988222195] |
709.2232 | Effect of SUSY-QCD corrections to neutralino annihilation on the cold
dark matter relic density in the Higgs funnel | We present a complete calculation of the QCD and SUSY-QCD corrections to
neutralino pair annihilation into bottom quark-antiquark pairs through exchange
of a pseudoscalar Higgs boson, which is the dominant process in the
cosmological A-funnel region of the mSUGRA model. We present numerical
predictions for the annihilation cross section and discuss the influence of the
correction terms on the cold dark matter relic density with respect to recent
cosmological data.
| hep-ph | we present a complete calculation of the qcd and susyqcd corrections to neutralino pair annihilation into bottom quarkantiquark pairs through exchange of a pseudoscalar higgs boson which is the dominant process in the cosmological afunnel region of the msugra model we present numerical predictions for the annihilation cross section and discuss the influence of the correction terms on the cold dark matter relic density with respect to recent cosmological data | [['we', 'present', 'a', 'complete', 'calculation', 'of', 'the', 'qcd', 'and', 'susyqcd', 'corrections', 'to', 'neutralino', 'pair', 'annihilation', 'into', 'bottom', 'quarkantiquark', 'pairs', 'through', 'exchange', 'of', 'a', 'pseudoscalar', 'higgs', 'boson', 'which', 'is', 'the', 'dominant', 'process', 'in', 'the', 'cosmological', 'afunnel', 'region', 'of', 'the', 'msugra', 'model', 'we', 'present', 'numerical', 'predictions', 'for', 'the', 'annihilation', 'cross', 'section', 'and', 'discuss', 'the', 'influence', 'of', 'the', 'correction', 'terms', 'on', 'the', 'cold', 'dark', 'matter', 'relic', 'density', 'with', 'respect', 'to', 'recent', 'cosmological', 'data']] | [-0.09385663458877909, 0.1565884141650583, -0.0813615158067218, 0.16474333230468932, -0.08243736977622446, -0.06999288979651673, 0.0425218361163778, 0.3142146896570921, -0.18441015260427127, -0.26603298224259303, -0.03899670225468331, -0.3239863320785974, 0.047941193323848504, 0.12634801412766267, 0.1099073083368629, 0.06877969149500132, 0.09131785325672744, 0.03287370984658732, -0.029627264903060026, -0.2822694078619991, 0.3702395797174956, 0.04616125659751041, 0.1785349602012762, 0.16280584931373596, 0.022184231819119306, 0.0244818870842989, -0.09370409353370113, -0.1145706339606217, -0.18436513813212513, 0.08957510284547295, 0.16335326080609644, 0.04123035837630076, 0.09420425226978425, -0.36558793982507526, -0.17522707211984587, 0.1717286511058254, 0.1618568863985794, 0.1323416466309157, -0.08670664129812004, -0.3491078072094492, 0.0848309142049402, -0.27957122485552516, -0.05351349393438016, -0.05170920901998345, -0.02944405378241624, -0.11503824953522002, -0.3081542640924454, 0.12366744790093175, -0.10581209672881024, -0.10782164054523621, -0.01502901768045766, -0.1465927868416267, -0.08346447816916874, -0.0331808803470007, 0.12677446411648166, 0.012049334691255353, 0.2328545177554978, -0.2484194343510483, -0.14103200172207186, 0.4388259530067444, -0.15193870817976338, -0.15402374583895184, 0.11394167257738964, -0.1458708478470466, -0.12875640613492578, 0.15618585769885351, 0.20935182757343032, 0.058190678362734616, -0.1359353869754289, 0.18742052956450997, -0.016890557930206083, 0.14308649528039885, 0.04656733529908316, 0.03438293690394078, 0.3062379391730896, 0.19169118951873054, 0.0077109379627342736, 0.07402239960751363, -0.09587340143043548, -0.13411384282766708, -0.4928345932492188, -0.1388634073548019, -0.03717012078102146, -0.006231119187681803, -0.09736182412057783, -0.15925844463386707, 0.3715270168414073, 0.11449621694295534, 0.2801264361212296, 0.012474153232428111, 0.38847286509616036, 0.08779793096972363, 0.034535141947812265, 0.038515739142894745, 0.33045309127441475, 0.1909214706027082, 0.09888560736684927, -0.2567676934613181, -0.02544931992722143, 0.07270927935106945] |
709.2233 | Pseudo-maximization and self-normalized processes | Self-normalized processes are basic to many probabilistic and statistical
studies. They arise naturally in the the study of stochastic integrals,
martingale inequalities and limit theorems, likelihood-based methods in
hypothesis testing and parameter estimation, and Studentized pivots and
bootstrap-$t$ methods for confidence intervals. In contrast to standard
normalization, large values of the observations play a lesser role as they
appear both in the numerator and its self-normalized denominator, thereby
making the process scale invariant and contributing to its robustness. Herein
we survey a number of results for self-normalized processes in the case of
dependent variables and describe a key method called ``pseudo-maximization''
that has been used to derive these results. In the multivariate case,
self-normalization consists of multiplying by the inverse of a positive
definite matrix (instead of dividing by a positive random variable as in the
scalar case) and is ubiquitous in statistical applications, examples of which
are given.
| math.PR | selfnormalized processes are basic to many probabilistic and statistical studies they arise naturally in the the study of stochastic integrals martingale inequalities and limit theorems likelihoodbased methods in hypothesis testing and parameter estimation and studentized pivots and bootstrapt methods for confidence intervals in contrast to standard normalization large values of the observations play a lesser role as they appear both in the numerator and its selfnormalized denominator thereby making the process scale invariant and contributing to its robustness herein we survey a number of results for selfnormalized processes in the case of dependent variables and describe a key method called pseudomaximization that has been used to derive these results in the multivariate case selfnormalization consists of multiplying by the inverse of a positive definite matrix instead of dividing by a positive random variable as in the scalar case and is ubiquitous in statistical applications examples of which are given | [['selfnormalized', 'processes', 'are', 'basic', 'to', 'many', 'probabilistic', 'and', 'statistical', 'studies', 'they', 'arise', 'naturally', 'in', 'the', 'the', 'study', 'of', 'stochastic', 'integrals', 'martingale', 'inequalities', 'and', 'limit', 'theorems', 'likelihoodbased', 'methods', 'in', 'hypothesis', 'testing', 'and', 'parameter', 'estimation', 'and', 'studentized', 'pivots', 'and', 'bootstrapt', 'methods', 'for', 'confidence', 'intervals', 'in', 'contrast', 'to', 'standard', 'normalization', 'large', 'values', 'of', 'the', 'observations', 'play', 'a', 'lesser', 'role', 'as', 'they', 'appear', 'both', 'in', 'the', 'numerator', 'and', 'its', 'selfnormalized', 'denominator', 'thereby', 'making', 'the', 'process', 'scale', 'invariant', 'and', 'contributing', 'to', 'its', 'robustness', 'herein', 'we', 'survey', 'a', 'number', 'of', 'results', 'for', 'selfnormalized', 'processes', 'in', 'the', 'case', 'of', 'dependent', 'variables', 'and', 'describe', 'a', 'key', 'method', 'called', 'pseudomaximization', 'that', 'has', 'been', 'used', 'to', 'derive', 'these', 'results', 'in', 'the', 'multivariate', 'case', 'selfnormalization', 'consists', 'of', 'multiplying', 'by', 'the', 'inverse', 'of', 'a', 'positive', 'definite', 'matrix', 'instead', 'of', 'dividing', 'by', 'a', 'positive', 'random', 'variable', 'as', 'in', 'the', 'scalar', 'case', 'and', 'is', 'ubiquitous', 'in', 'statistical', 'applications', 'examples', 'of', 'which', 'are', 'given']] | [-0.06419930225048139, 0.08398977959794658, -0.07582113939673216, 0.12114008604974787, -0.04281805029620423, -0.12277043753518996, 0.05827148144013014, 0.33636532091142823, -0.2521790572343914, -0.28036697132855043, 0.14943296771471193, -0.26168951142553976, -0.1554561306779482, 0.22413787737862542, -0.07920671105828314, 0.10301428891531886, 0.03290732700669137, -0.005183965037418466, -0.05237055226184782, -0.24895388507648517, 0.30718984972166063, 0.03952081202447009, 0.25125483291692474, 0.004755043145902708, 0.11203432623867174, 0.03693849122037693, -0.11185908270683013, 0.018123617009291437, -0.09606405620196506, 0.1226075356842025, 0.2820471081451899, 0.1408392312559521, 0.3242700617557683, -0.3763068091380885, -0.16803061020668267, 0.15162867367216926, 0.14928925903430873, 0.05435263802005187, -0.015065370742104896, -0.2413002523976904, 0.07380138694777527, -0.13053179304210508, -0.11850553870099742, -0.11459280070246888, 0.016032764805341455, 0.05940435213974493, -0.3307437013936083, 0.12426301482811469, 0.10193821446666, 0.05033796480983546, -0.01324125797627177, -0.17002699250469402, 0.052429986339170155, 0.11158588930899531, 0.10270021230969927, -0.0223668202897217, 0.11647057538174194, -0.15040412777401255, -0.14645634957852133, 0.3432484758941799, -0.05986529077580642, -0.24456884929368614, 0.17407252165634615, -0.15911519620250783, -0.19825021981508756, 0.09762427105717235, 0.1966544000018502, 0.11770463844944982, -0.13977177650192563, 0.11627355862534003, -0.029712159535847604, 0.09630143170824693, 0.04837765068696419, 0.026592860890070902, 0.16345722964476972, 0.10887556731444309, 0.0402770806195018, 0.11286790816898958, -0.08813132782511059, -0.13584171063235018, -0.32759809502888293, -0.17561047171324898, -0.1857756204336096, 0.023025874457310976, -0.15417233609575, -0.19110228218847797, 0.36666062402659333, 0.14726608289329676, 0.20108140662445553, 0.07187547655475206, 0.2396397345135508, 0.16390276919942678, 0.06419715141801506, 0.017861766145140134, 0.18039873416803232, 0.18842296857627577, 0.05841564897093035, -0.13075685401314072, 0.10455179239780053, 0.05628831101245671] |
709.2234 | Soliton percolation in random optical lattices | We introduce soliton percolation phenomena in the nonlinear transport of
light packets in suitable optical lattices with random properties.
Specifically, we address lattices with a gradient of the refractive index in
the transverse plane, featuring stochastic phase or amplitude fluctuations, and
we discover the existence of a disorder-induced transition between
soliton-insu-lator and soliton-conductor regimes. The soliton current is found
to reach its maximal value at intermediate disorder levels and to drastically
decrease in both, almost regular and strongly disordered lattices.
| physics.optics nlin.PS | we introduce soliton percolation phenomena in the nonlinear transport of light packets in suitable optical lattices with random properties specifically we address lattices with a gradient of the refractive index in the transverse plane featuring stochastic phase or amplitude fluctuations and we discover the existence of a disorderinduced transition between solitoninsulator and solitonconductor regimes the soliton current is found to reach its maximal value at intermediate disorder levels and to drastically decrease in both almost regular and strongly disordered lattices | [['we', 'introduce', 'soliton', 'percolation', 'phenomena', 'in', 'the', 'nonlinear', 'transport', 'of', 'light', 'packets', 'in', 'suitable', 'optical', 'lattices', 'with', 'random', 'properties', 'specifically', 'we', 'address', 'lattices', 'with', 'a', 'gradient', 'of', 'the', 'refractive', 'index', 'in', 'the', 'transverse', 'plane', 'featuring', 'stochastic', 'phase', 'or', 'amplitude', 'fluctuations', 'and', 'we', 'discover', 'the', 'existence', 'of', 'a', 'disorderinduced', 'transition', 'between', 'solitoninsulator', 'and', 'solitonconductor', 'regimes', 'the', 'soliton', 'current', 'is', 'found', 'to', 'reach', 'its', 'maximal', 'value', 'at', 'intermediate', 'disorder', 'levels', 'and', 'to', 'drastically', 'decrease', 'in', 'both', 'almost', 'regular', 'and', 'strongly', 'disordered', 'lattices']] | [-0.18735609975500175, 0.24546839306966808, -0.061975996039855555, 0.03399973689691904, -0.02716882407474212, -0.14649502916906315, 0.07221970803295381, 0.42935297888918567, -0.2862111672353095, -0.229990100607467, 0.08604230619489382, -0.306254841052951, -0.1719790771514034, 0.1257142520073849, 0.017201938236562107, 0.04409326671380908, -0.009440940780899463, -0.008355432834762793, -0.07619886298347503, -0.2049934501395537, 0.3119504305605705, -0.012560103058767242, 0.32873766122159, 0.08079080861539413, 0.0568043107393747, 0.03508559397111336, 0.05176700625079087, 0.046255315989793204, -0.17322659004443827, 0.07168934215457202, 0.2183037159534601, -0.038634172873571515, 0.2012517276005103, -0.39399290019765687, -0.24184095885795662, 0.12958111085940915, 0.1424860963056861, 0.1605859405020825, -0.03371095601827479, -0.26687066252223957, 0.044421084446068376, -0.09327385815767905, -0.19651629283534697, -0.04484144087212208, 0.019829973494872834, 0.07632459642795417, -0.2540678793373398, 0.11769495662062979, 0.04956387229359303, 0.05895202658258569, -0.030249770763568964, -0.029166216496378183, -0.044859195444494106, 0.06288572493045089, 0.0025698320644621095, -0.014234113139816774, 0.10267180982881631, -0.17666378656091788, -0.12186016108637723, 0.3822424504308937, -0.09537290902111496, -0.14708601685766226, 0.18785939898150852, -0.1909599504314172, -0.05618698889007553, 0.15962780639529228, 0.20338713413534257, 0.07197879457798524, -0.05776250783879405, 0.03474707174329804, 0.029545379092152685, 0.18152925957185337, 0.07111042691394687, 0.11293931537045118, 0.20565928803541914, 0.18130540638902368, 0.0981157751610646, 0.18205264183238912, -0.08488715444810879, -0.10778053044281805, -0.22745572883062637, -0.0856258729767526, -0.14224096735825953, 0.03990784728039916, -0.11991472705789746, -0.22802764910440415, 0.4284550017104126, 0.14781893890064496, 0.2193464289765614, 0.02452711911442188, 0.20334478640087092, 0.14822562935594946, 0.010845839326532606, 0.09113336994778365, 0.25408617332159805, 0.16061092423609433, 0.1459633041985142, -0.23942356396508283, -0.009767504007471964, 0.0654689782203581] |
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