id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
707.453 | Stabilization of a Bose-Einstein droplet by hyperfine Rabi oscillations | A self-trapped Bose-Einstein condensate is shown to be stabilized in
two-dimensional free space by Rabi oscillations between two hyperfine states
which make an effective interatomic interaction oscillate in time. The
stabilization mechanism is elucidated by using a two-component Gross-Pitaevskii
equation combined with a variational analysis. The parameter regime of
stability is investigated.
| cond-mat.other | a selftrapped boseeinstein condensate is shown to be stabilized in twodimensional free space by rabi oscillations between two hyperfine states which make an effective interatomic interaction oscillate in time the stabilization mechanism is elucidated by using a twocomponent grosspitaevskii equation combined with a variational analysis the parameter regime of stability is investigated | [['a', 'selftrapped', 'boseeinstein', 'condensate', 'is', 'shown', 'to', 'be', 'stabilized', 'in', 'twodimensional', 'free', 'space', 'by', 'rabi', 'oscillations', 'between', 'two', 'hyperfine', 'states', 'which', 'make', 'an', 'effective', 'interatomic', 'interaction', 'oscillate', 'in', 'time', 'the', 'stabilization', 'mechanism', 'is', 'elucidated', 'by', 'using', 'a', 'twocomponent', 'grosspitaevskii', 'equation', 'combined', 'with', 'a', 'variational', 'analysis', 'the', 'parameter', 'regime', 'of', 'stability', 'is', 'investigated']] | [-0.20042813681916763, 0.26370032747133965, -0.08161548246873561, 0.09697920030941112, -0.0286474683895134, -0.1894987054222908, 0.005561431395248151, 0.35140817891806364, -0.2636264250255548, -0.22086152638523623, -0.0015605403101429916, -0.20839226584380063, -0.0960330507503106, 0.15842285108430168, 0.08884073433896097, 0.02986693847924471, 0.04476021086940399, -0.04007284192798229, -0.04323835875122593, -0.1977377468988729, 0.33572071603535175, 0.013733874129964253, 0.29842741389830524, 0.04933860194152938, 0.09175243840302126, -0.042184469666188724, 0.14188015136796123, -0.002715162978207585, -0.17639651459159303, 0.044531020455626555, 0.2191573935885502, -0.07242625228200968, 0.3032912858761847, -0.4326957042615574, -0.27131451666355133, 0.08174134281356461, 0.22716784106495863, 0.2095828608390338, -0.04721526108467235, -0.37447446448585164, -0.07181627568430625, -0.160524344483677, -0.17051957171553603, -0.15888131470777667, 0.035001657804689154, 0.024603622822234265, -0.2948945058652988, 0.13248632800521312, -0.007731817662715912, 0.04211864294484258, -0.13854544726200402, -0.002887407102837012, -0.029892723203654617, -0.003243306284555449, 0.017465884945032976, 0.051051884128425554, 0.07281862304304153, -0.09542409039568156, -0.06446408561896533, 0.3790211773907336, -0.16535731668297488, -0.2202756168284955, 0.11816482263832138, -0.08606140777611962, -0.002151997616657844, 0.1543800906600574, 0.07734179741237313, 0.10051043929818732, -0.15323943372529286, 0.08027683436655654, 0.007061121376374593, 0.23879251253003111, 0.07072213824050358, 0.009261062829934347, 0.22937965561420873, 0.24041378852696374, 0.03358914629699519, 0.15637408053421845, -0.04060169735636849, -0.19053243329891792, -0.22904865521615228, -0.09583681468995145, -0.24061389886236823, 0.031508872986215956, -0.0068573956736005266, -0.14904546897238247, 0.38821984745579985, 0.07347952824336691, 0.20155986773674017, -0.04908551144762896, 0.26190657122060657, 0.1775322619539041, 0.014634287343002282, 0.00043224079462771234, 0.3200108252573185, 0.18939527140285534, 0.05949658159023294, -0.3374726129292797, -0.03871638835586894, 0.11205060826614499] |
707.4531 | Algebraic structure of the Feynman propagator and a new correspondence
for canonical transformations | We investigate the algebraic structure of the Feynman propagator with a
general time-dependent quadratic Hamiltonian system. Using the Lie-algebraic
technique we obtain a normal-ordered form of the time-evolution operator, and
then the propagator is easily derived by a simple ``Integration Within Ordered
Product" (IWOP) technique.It is found that this propagator contains a classical
generating function which demonstrates a new correspondence between classical
and quantum mechanics.
| quant-ph | we investigate the algebraic structure of the feynman propagator with a general timedependent quadratic hamiltonian system using the liealgebraic technique we obtain a normalordered form of the timeevolution operator and then the propagator is easily derived by a simple integration within ordered product iwop techniqueit is found that this propagator contains a classical generating function which demonstrates a new correspondence between classical and quantum mechanics | [['we', 'investigate', 'the', 'algebraic', 'structure', 'of', 'the', 'feynman', 'propagator', 'with', 'a', 'general', 'timedependent', 'quadratic', 'hamiltonian', 'system', 'using', 'the', 'liealgebraic', 'technique', 'we', 'obtain', 'a', 'normalordered', 'form', 'of', 'the', 'timeevolution', 'operator', 'and', 'then', 'the', 'propagator', 'is', 'easily', 'derived', 'by', 'a', 'simple', 'integration', 'within', 'ordered', 'product', 'iwop', 'techniqueit', 'is', 'found', 'that', 'this', 'propagator', 'contains', 'a', 'classical', 'generating', 'function', 'which', 'demonstrates', 'a', 'new', 'correspondence', 'between', 'classical', 'and', 'quantum', 'mechanics']] | [-0.14343807710974943, 0.11469754907284369, -0.17382574343355373, 0.10577669352096564, -0.08978094271151349, -0.09536714817659231, 0.026796285517775686, 0.3118504462472629, -0.2807064659864409, -0.23264941842353437, 0.026917691608105088, -0.22558726438728627, -0.2353069971795776, 0.16789972838159883, 0.004682369031797862, 0.03290707893756917, 0.0792886435665423, 0.07262396297664964, -0.15093767237340217, -0.17819894966305583, 0.34772625053301454, -0.01614178741328942, 0.2160760778497206, 0.025328946037916467, 0.15107481315499172, 0.08605817649004166, 0.006083262764150277, 0.020972504615201615, -0.11120146826999644, 0.13946903616306372, 0.19438509767860523, 0.09717270072724205, 0.22795899851553258, -0.38080275361426175, -0.17996353039052337, 0.05005979111592751, 0.1342022296594223, 0.13885353488694818, -0.03787200871738605, -0.3026380050869193, 0.012480304338168935, -0.21251295368710998, -0.16920866484724684, -0.14511974503693637, -0.014783928476390429, -0.04850439135771012, -0.2835132501613771, 0.07966329919509008, 0.006990809022681788, 0.051118844479788095, -0.04386428806174081, -0.05449339722872537, 0.002770549734123051, 0.08605949555203551, -0.07476759890414542, 0.05290027881892456, 0.07010359482853801, -0.08977622647171302, -0.12450960353453411, 0.3782053483009804, -0.06259833955846261, -0.2531476392323384, 0.11129544123468804, -0.15078999204706633, -0.10873792571510421, 0.08214076078729704, 0.06193498427455779, 0.13796165001986083, -0.23097360976771597, 0.1799020870366803, -0.06301038312085439, 0.12574787557241507, 0.053189989430393325, 0.016200796312659804, 0.15002582193119451, 0.08539496830053395, 0.02657693371293135, 0.23052551316504832, 0.03030625273095211, -0.19165195097593823, -0.3562217593425885, -0.18612417003168957, -0.17808209055510815, 0.11903996312139498, -0.11774095749524349, -0.23299421738192905, 0.4173677668113669, 0.10936985746047867, 0.15266750853879785, 0.07108395772775111, 0.2903058434749255, 0.24258675748569658, 0.08439271320821717, 0.06759446103387745, 0.17441180913010612, 0.19888690530933673, 0.0485288210620638, -0.23195368806045735, -0.03883909546129871, 0.16863981524511473] |
707.4532 | Determination of the Superconductor-Insulator Phase Diagram for
One-Dimensional Wires | We establish the superconductor-insulator phase diagram for quasi-one
dimensional wires by measuring a large set of MoGe nanowires. This diagram is
consistent with the Chakravarty-Schmid-Bulgadaev phase boundary, namely with
the critical resistance being equal to R_Q = h/4e^2. We find that transport
properties of insulating nanowires exhibit a weak Coulomb blockade behavior.
| cond-mat.supr-con | we establish the superconductorinsulator phase diagram for quasione dimensional wires by measuring a large set of moge nanowires this diagram is consistent with the chakravartyschmidbulgadaev phase boundary namely with the critical resistance being equal to r_q h4e2 we find that transport properties of insulating nanowires exhibit a weak coulomb blockade behavior | [['we', 'establish', 'the', 'superconductorinsulator', 'phase', 'diagram', 'for', 'quasione', 'dimensional', 'wires', 'by', 'measuring', 'a', 'large', 'set', 'of', 'moge', 'nanowires', 'this', 'diagram', 'is', 'consistent', 'with', 'the', 'chakravartyschmidbulgadaev', 'phase', 'boundary', 'namely', 'with', 'the', 'critical', 'resistance', 'being', 'equal', 'to', 'r_q', 'h4e2', 'we', 'find', 'that', 'transport', 'properties', 'of', 'insulating', 'nanowires', 'exhibit', 'a', 'weak', 'coulomb', 'blockade', 'behavior']] | [-0.24191297709941864, 0.24974382687360047, -0.05250081757083535, -0.0011997727863490581, -0.00636048536747694, -0.2395955909229815, 0.09988443337380887, 0.3731120877340436, -0.20473691023886204, -0.2357604201324284, 0.008779893824830652, -0.34202519606798887, -0.1441039526835084, 0.16328389175236224, 0.0071962573425844315, 0.028126806812360884, -0.0015540536306798457, -0.0608249737508595, -0.1444183025462553, -0.1734917513281107, 0.32536468259990214, -0.07709211444482207, 0.35760613441467287, 0.08399492530152201, 0.02915760638192296, -0.033630510261282325, 0.2047351717564743, 0.13230668594129383, -0.25783773072602345, -0.004716428034007549, 0.2395217132754624, -0.18938448132947086, 0.14902334850281476, -0.39576748248189686, -0.19666505310684443, 0.06503120250068604, 0.14659264159854501, 0.12034459058195353, -0.038264396004378795, -0.2825652534328401, 0.09251828253269195, -0.11689752228558063, -0.1275661982037127, -0.06238913092762232, 0.00782829619012773, -0.01739344005007297, -0.22687775295227766, 0.11460378362797201, 0.0317427709326148, 0.12013515833765269, -0.017932733530178668, -0.09524084629490971, -0.03711909647565335, 0.06762964962050319, -0.012188798212446273, 0.028539862167090178, 0.15478603994473816, -0.13938308393306215, -0.09655676182359457, 0.29536179300397636, -0.03625120352953672, -0.059950469825416804, 0.1885373805090785, -0.23180287673021666, -0.009280971232801676, 0.17090215270407497, 0.041770754009485246, 0.06566301504615694, -0.157168263271451, 0.08100544075481593, -0.013902210050728172, 0.1532736546662636, 0.020846611987799406, 0.08354417499620467, 0.2541098700463772, 0.26390619978308677, 0.054354313630610704, 0.22323502112179994, -0.11816606798674911, -0.06906654011458159, -0.25662632562220095, -0.20011046449653805, -0.2090316242352128, 0.11216548586729914, -0.12034236697480083, -0.29990435399115084, 0.3482602899410995, 0.16403711000806653, 0.2380078711779788, -0.012639477150514722, 0.20695565234869717, 0.14284776452725054, 0.05907819839194417, 0.019334409618750215, 0.2487031142041087, 0.19650938690174372, 0.10886730408295989, -0.3062701871339232, 0.07683344138786197, 0.07425770812667906] |
707.4533 | Cascade of Complexity in Evolving Predator-Prey Dynamics | We simulate an individual-based model that represents both the phenotype and
genome of digital organisms with predator-prey interactions. We show how
open-ended growth of complexity arises from the invariance of genetic evolution
operators with respect to changes in the complexity, and that the dynamics
which emerges is controlled by a non-equilibrium critical point. The mechanism
is analogous to the development of the cascade in fluid turbulence.
| q-bio.PE | we simulate an individualbased model that represents both the phenotype and genome of digital organisms with predatorprey interactions we show how openended growth of complexity arises from the invariance of genetic evolution operators with respect to changes in the complexity and that the dynamics which emerges is controlled by a nonequilibrium critical point the mechanism is analogous to the development of the cascade in fluid turbulence | [['we', 'simulate', 'an', 'individualbased', 'model', 'that', 'represents', 'both', 'the', 'phenotype', 'and', 'genome', 'of', 'digital', 'organisms', 'with', 'predatorprey', 'interactions', 'we', 'show', 'how', 'openended', 'growth', 'of', 'complexity', 'arises', 'from', 'the', 'invariance', 'of', 'genetic', 'evolution', 'operators', 'with', 'respect', 'to', 'changes', 'in', 'the', 'complexity', 'and', 'that', 'the', 'dynamics', 'which', 'emerges', 'is', 'controlled', 'by', 'a', 'nonequilibrium', 'critical', 'point', 'the', 'mechanism', 'is', 'analogous', 'to', 'the', 'development', 'of', 'the', 'cascade', 'in', 'fluid', 'turbulence']] | [-0.1273757875755881, 0.16940667304041915, -0.0949950338470058, 0.08153707956344905, -0.021913619094641144, -0.08786927377381785, 0.006046854513415107, 0.31327741828069766, -0.330217623054826, -0.25855997898774646, 0.04586214631104447, -0.25126543776555493, -0.24773876924618063, 0.14282481328259702, -0.0657592117645298, -0.0015248332849957726, 0.030815745449878952, -0.022138080714891355, 0.038008403054184535, -0.18381702363716834, 0.33720837691516586, 0.09055338126861236, 0.29143513270272786, -0.03057938230675504, 0.1145779192518217, -0.059470605069884296, -0.005146188520346627, 0.01852256818110067, -0.14127561062769295, 0.10760423146590863, 0.241150894872562, 0.1707455732605674, 0.2837975032514695, -0.4567961809648709, -0.22177542144940657, 0.10413729512330258, 0.16142777754628862, 0.1703597331811166, -0.06423767822597062, -0.2452422475555178, 0.03986557268283584, -0.13654767961071973, -0.13822024474343794, -0.03830882584478593, 0.006439576726265703, 0.0337935247022842, -0.26149391214306833, 0.09353777449436937, 0.04828102271439451, 0.10000738940399254, -0.07285536801315505, 0.0034521685376989117, -0.07431300101575977, 0.17377853318061115, 0.06131787287515842, 0.02726221869163441, 0.1859819938668586, -0.1696595609696074, -0.16602899951182984, 0.4003142494369637, -0.06559396914742661, -0.19702532308909929, 0.24428254610040423, -0.15860771938847998, -0.10313024505210872, 0.12387932482119085, 0.1721025767214032, 0.015319312160665339, -0.1679041639224372, 0.10483225168498007, 0.0020840083333578978, 0.19742113391553037, -0.006458061140482173, -0.021650547853134798, 0.15743100727823647, 0.2693851542884879, 0.047388325431243036, 0.15935671693560752, -0.0341743833639405, -0.20399637914008714, -0.23768971239527067, -0.16421069072164368, -0.13126717279241842, 0.07683711798127854, -0.09633860267146674, -0.19672366971799143, 0.4069968349384991, 0.18024310631903284, 0.1748530294015919, 0.07281243871495297, 0.2265280226640629, 0.08774380243355126, 0.06069237069988793, 0.013559582036440119, 0.1752178278808115, 0.0872192448181467, 0.11969959508331324, -0.32616575128243613, 0.12242565969372111, 0.04065183047769648] |
707.4534 | Intramolecular vibrational energy redistribution from a high frequency
mode in the presence of an internal rotor: Classical thick-layer diffusion
and quantum localization | We study the effect of an internal rotor on the classical and quantum
intramolecular vibrational energy redistribution (IVR) dynamics of a model
system with three degrees of freedom. The system is based on a Hamiltonian
proposed by Martens and Reinhardt (J. Chem. Phys. {\bf 93}, 5621 (1990).) to
study IVR in the excited electronic state of para-fluorotoluene. We explicitly
construct the state space and show, confirming the mechanism proposed by
Martens and Reinhardt, that an excited high frequency mode relaxes via
diffusion along a thick layer of chaos created by the low frequency-rotor
interactions. However, the corresponding quantum dynamics exhibits no
appreciable relaxation of the high frequency mode. We attribute the quantum
suppression of the classical thick-layer diffusion to the rotor selection rules
and, possibly, dynamical localization effects.
| physics.chem-ph nlin.CD | we study the effect of an internal rotor on the classical and quantum intramolecular vibrational energy redistribution ivr dynamics of a model system with three degrees of freedom the system is based on a hamiltonian proposed by martens and reinhardt j chem phys bf 93 5621 1990 to study ivr in the excited electronic state of parafluorotoluene we explicitly construct the state space and show confirming the mechanism proposed by martens and reinhardt that an excited high frequency mode relaxes via diffusion along a thick layer of chaos created by the low frequencyrotor interactions however the corresponding quantum dynamics exhibits no appreciable relaxation of the high frequency mode we attribute the quantum suppression of the classical thicklayer diffusion to the rotor selection rules and possibly dynamical localization effects | [['we', 'study', 'the', 'effect', 'of', 'an', 'internal', 'rotor', 'on', 'the', 'classical', 'and', 'quantum', 'intramolecular', 'vibrational', 'energy', 'redistribution', 'ivr', 'dynamics', 'of', 'a', 'model', 'system', 'with', 'three', 'degrees', 'of', 'freedom', 'the', 'system', 'is', 'based', 'on', 'a', 'hamiltonian', 'proposed', 'by', 'martens', 'and', 'reinhardt', 'j', 'chem', 'phys', 'bf', '93', '5621', '1990', 'to', 'study', 'ivr', 'in', 'the', 'excited', 'electronic', 'state', 'of', 'parafluorotoluene', 'we', 'explicitly', 'construct', 'the', 'state', 'space', 'and', 'show', 'confirming', 'the', 'mechanism', 'proposed', 'by', 'martens', 'and', 'reinhardt', 'that', 'an', 'excited', 'high', 'frequency', 'mode', 'relaxes', 'via', 'diffusion', 'along', 'a', 'thick', 'layer', 'of', 'chaos', 'created', 'by', 'the', 'low', 'frequencyrotor', 'interactions', 'however', 'the', 'corresponding', 'quantum', 'dynamics', 'exhibits', 'no', 'appreciable', 'relaxation', 'of', 'the', 'high', 'frequency', 'mode', 'we', 'attribute', 'the', 'quantum', 'suppression', 'of', 'the', 'classical', 'thicklayer', 'diffusion', 'to', 'the', 'rotor', 'selection', 'rules', 'and', 'possibly', 'dynamical', 'localization', 'effects']] | [-0.17238369778609805, 0.16430179189797678, -0.06497063841755246, -0.01788293158601699, -0.023300350048474125, -0.10054688746083318, 0.08689003484699154, 0.3216696486981105, -0.2375940441214029, -0.2845261483453214, 0.03246910948655568, -0.24630713819586222, -0.13759949909252744, 0.14122557060064508, -0.017201804052737933, 0.02111146305387299, 0.03778802529690908, -0.017652792912427214, 0.00040905686253080924, -0.16133901775033482, 0.26712096717223643, 0.09306943678060517, 0.30493110842789684, 0.06052764132618904, 0.14375567946192477, 0.04910963038245456, 0.04462016925155636, -0.03540807072474103, -0.1408936830086473, 0.0823993154251272, 0.17575732659127924, 0.024386200017385905, 0.2703452454053707, -0.4211275244522239, -0.23925439766307752, 0.03498977215983154, 0.10642002005836056, 0.16221180887922884, 0.004135370357788258, -0.30610349115675256, 0.015976274716517618, -0.18817307061404026, -0.12926997285291192, -0.11596477739212493, 0.05604902888092423, -0.004229904641585064, -0.243486859347491, 0.13959674322001275, 0.11126473275151276, 0.08597972378465196, -0.08543322963880436, -0.08668284615381591, -0.07716142541668829, 0.048604900364749015, -0.011403072846024447, 0.036799345045320446, 0.14477792753079424, -0.10414647058238305, -0.1725374001098023, 0.3603743496200731, -0.0778965698639607, -0.18261069083406078, 0.23409164259623316, -0.1183036269484869, -0.07527392131892303, 0.14653419837686082, 0.13248731216205464, 0.12295534096342782, -0.11802110116320452, 0.08549965223304049, 0.00755164134616573, 0.1718209196527999, 0.04168775082272928, 0.055629461589682426, 0.15724108296055947, 0.12402631420521967, 0.018183289794251323, 0.16231488176591455, -0.11263075183409631, -0.17117862506288914, -0.25015438140197205, -0.13973927514762768, -0.20171599108829058, 0.07552499842319277, -0.04054511802572843, -0.133029238974315, 0.4344472239852973, 0.11269807618584544, 0.18896092229636363, -0.030775880089007137, 0.2297993623050711, 0.13530526996680325, 0.013960034973288496, 0.10945182882114163, 0.262181204362517, 0.16446011676265287, 0.07377070665449625, -0.35029878335509207, 0.02000964969404102, 0.047272630261197206] |
707.4535 | Quantum phase transition in the two-band Hubbard model | The interaction between itinerant and Mott localized electronic states in
strongly correlated materials is studied within dynamical mean field theory in
combination with the numerical renormalization group method. A novel
nonmagnetic zero temperature quantum phase transition is found in the
bad-metallic orbital-selective Mott phase of the two-band Hubbard model, for
values of the Hund's exchange which are relevant to typical transition metal
oxides.
| cond-mat.str-el | the interaction between itinerant and mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method a novel nonmagnetic zero temperature quantum phase transition is found in the badmetallic orbitalselective mott phase of the twoband hubbard model for values of the hunds exchange which are relevant to typical transition metal oxides | [['the', 'interaction', 'between', 'itinerant', 'and', 'mott', 'localized', 'electronic', 'states', 'in', 'strongly', 'correlated', 'materials', 'is', 'studied', 'within', 'dynamical', 'mean', 'field', 'theory', 'in', 'combination', 'with', 'the', 'numerical', 'renormalization', 'group', 'method', 'a', 'novel', 'nonmagnetic', 'zero', 'temperature', 'quantum', 'phase', 'transition', 'is', 'found', 'in', 'the', 'badmetallic', 'orbitalselective', 'mott', 'phase', 'of', 'the', 'twoband', 'hubbard', 'model', 'for', 'values', 'of', 'the', 'hunds', 'exchange', 'which', 'are', 'relevant', 'to', 'typical', 'transition', 'metal', 'oxides']] | [-0.1824784705069818, 0.2905902190222627, -0.03315288089363584, 0.0809613307679279, -0.0017650461800041654, -0.2244477064943769, 0.12296998172458852, 0.3898223964645276, -0.25171766124133554, -0.22652761859168846, -0.05106341755867655, -0.36246406230779865, -0.16714314841443584, 0.08941508867659621, 0.09182486801023876, -0.014474708300281598, -0.099870266326304, -0.05275912501568359, -0.19693496734613464, -0.18016257503676036, 0.3055460955430236, -0.038439314562960396, 0.29641057476992644, 0.09521922893962631, -0.050849699134391455, 0.0016544513554046197, 0.18969555561327273, 0.017549435430694194, -0.13461560497267377, 0.016252301347863284, 0.33459295174347176, -0.17148870282939502, 0.23458596425397055, -0.39560693064852365, -0.2431448692869809, -0.04549434463981362, 0.1156733275745951, 0.1584604459145801, -0.10316209647331447, -0.3474175952641027, -0.048297701832202694, -0.22171367721868648, -0.10388232680362841, -0.13241690324826372, -0.029185076057541347, -0.03395069987764434, -0.2803618066633741, 0.16137639573583054, -0.025356181049516188, 0.12490380930876921, -0.10123785137243214, -0.11713226634772524, -0.09714775183607662, 0.0623497837592685, 0.033508221387848376, 0.08032069289465509, 0.12439407485847671, -0.12802171885287242, -0.06927701788732693, 0.39788139932271505, -0.04840126230625347, -0.049206326257378336, 0.19251355568745307, -0.20155472985454023, -0.04603991053614115, 0.1942589127916902, 0.08456112899714047, 0.0739089493521504, -0.1457703194076506, 0.10710606295596956, -0.015614619781632744, 0.19389390173767293, -0.13419760598446287, 0.10287237872502633, 0.2564693952481898, 0.214494285417632, 0.014764247181278372, 0.12193031975674251, -0.07768143788867053, -0.1918102095849694, -0.2287964993821723, -0.1434761726755708, -0.2849613625467533, 0.0014428940217291553, -0.10922524553611837, -0.26545586218200035, 0.40965818517678787, 0.2049266476450222, 0.12434526443451879, -0.10993862730295707, 0.17693147330825765, 0.142684525314955, 0.008921637946355438, 0.014763163554201287, 0.26749918215154184, 0.21763635030578052, 0.07286568258016829, -0.3112734131781118, 0.07002856246831399, 0.13642119311742365] |
707.4536 | On the paper ``Weak convergence of some classes of martingales with
jumps'' | This note extends some results of Nishiyama [Ann. Probab. 28 (2000)
685--712]. A maximal inequality for stochastic integrals with respect to
integer-valued random measures which may have infinitely many jumps on compact
time intervals is given. By using it, a tightness criterion is obtained; if the
so-called quadratic modulus is bounded in probability and if a certain entropy
condition on the parameter space is satisfied, then the tightness follows. Our
approach is based on the entropy techniques developed in the modern theory of
empirical processes.
| math.PR | this note extends some results of nishiyama ann probab 28 2000 685712 a maximal inequality for stochastic integrals with respect to integervalued random measures which may have infinitely many jumps on compact time intervals is given by using it a tightness criterion is obtained if the socalled quadratic modulus is bounded in probability and if a certain entropy condition on the parameter space is satisfied then the tightness follows our approach is based on the entropy techniques developed in the modern theory of empirical processes | [['this', 'note', 'extends', 'some', 'results', 'of', 'nishiyama', 'ann', 'probab', '28', '2000', '685712', 'a', 'maximal', 'inequality', 'for', 'stochastic', 'integrals', 'with', 'respect', 'to', 'integervalued', 'random', 'measures', 'which', 'may', 'have', 'infinitely', 'many', 'jumps', 'on', 'compact', 'time', 'intervals', 'is', 'given', 'by', 'using', 'it', 'a', 'tightness', 'criterion', 'is', 'obtained', 'if', 'the', 'socalled', 'quadratic', 'modulus', 'is', 'bounded', 'in', 'probability', 'and', 'if', 'a', 'certain', 'entropy', 'condition', 'on', 'the', 'parameter', 'space', 'is', 'satisfied', 'then', 'the', 'tightness', 'follows', 'our', 'approach', 'is', 'based', 'on', 'the', 'entropy', 'techniques', 'developed', 'in', 'the', 'modern', 'theory', 'of', 'empirical', 'processes']] | [-0.10805830437623497, 0.11306048662767612, -0.1335950197119798, 0.08303546018543698, -0.051752317935184, -0.11652405431405419, 0.06167848485139465, 0.32415996259078383, -0.2640734225943951, -0.24259390995541166, 0.1481375605328053, -0.2769374192714514, -0.16858463273161933, 0.25913938603896114, -0.13400135050705148, 0.08697017755947031, 0.03402770157637341, 0.06768120916205503, -0.04887203564257583, -0.31675113041308667, 0.30311206066315727, 0.014271489987593321, 0.25937693400330664, 0.07139302897156172, 0.1348793672967163, 0.013409485225565732, -0.04543731102187719, 0.03166517691230789, -0.17755929076312377, 0.12364832514209584, 0.2046269693140251, 0.13254828234979263, 0.3154724868280547, -0.3395301760617821, -0.20914315504376732, 0.15162077465183324, 0.06628734975397708, 0.010286754522461533, 0.011828402075306735, -0.2749695771351634, 0.11275691966598277, -0.12055406182826985, -0.14414537495689556, -0.05436153018048832, 0.06485142325982451, 0.05530750902280921, -0.32267421452949446, 0.11411158315881732, 0.11775109941594392, 0.052118918514766154, -0.040562500608974095, -0.07559595598528783, -0.008972818544688857, 0.01524551797081672, 0.042368527432526684, 0.06656021695761453, 0.10485880988805245, -0.017435744995184774, -0.1438488535627368, 0.28127178870185854, -0.061435729158498965, -0.25043663123090354, 0.18398080635649552, -0.1296085720892907, -0.17788571457467264, 0.1025695992034993, 0.11176805487983595, 0.13436122173221693, -0.16031169555416064, 0.181456069949144, -0.08423396013122761, 0.13180741599007023, 0.08108106213400051, 0.00618575077914145, 0.09896087216856402, 0.1045659968540782, 0.12305316887449451, 0.1311080135776484, -0.04326395312922874, -0.14574005765773887, -0.337917562563061, -0.13887304484489418, -0.23849870941956483, 0.08184751760563813, -0.13508820464994642, -0.15381548599162626, 0.3177036777072187, 0.10335897489234672, 0.18372569495945104, 0.1308880012074951, 0.21744524873793125, 0.19644553230249412, 0.009882383198211235, 0.10361926719945456, 0.1769265396984078, 0.1930922975325735, 0.059309898337925826, -0.11499977287963875, 0.11438749111368365, 0.14569746964618735] |
707.4537 | State-Relevant Maxwell's Equation from Kaluza-Klein Theory | We study a five-dimensional perfect fluid coupled with Kaluza-Klein (KK)
gravity. By dimensional reduction, a modified form of Maxwell's equation is
obtained, which is relevant to the equation of state of the source. Since the
relativistic magnetohydrodynamics (MHD) and the 3-dimensional formulation are
widely used to study space matter, we derive the modified Maxwell's equations
and relativistic MHD in 3+1 form. We then take an ideal Fermi gas as an example
to study the modified effect, which can be visible under high density or high
energy condition, while the traditional Maxwell's equation can be regarded as a
result in the low density and low temperature limit. We also indicate the
possibility to test the state-relevant effect of KK theory in a telluric
laboratory.
| gr-qc astro-ph hep-th physics.flu-dyn physics.plasm-ph | we study a fivedimensional perfect fluid coupled with kaluzaklein kk gravity by dimensional reduction a modified form of maxwells equation is obtained which is relevant to the equation of state of the source since the relativistic magnetohydrodynamics mhd and the 3dimensional formulation are widely used to study space matter we derive the modified maxwells equations and relativistic mhd in 31 form we then take an ideal fermi gas as an example to study the modified effect which can be visible under high density or high energy condition while the traditional maxwells equation can be regarded as a result in the low density and low temperature limit we also indicate the possibility to test the staterelevant effect of kk theory in a telluric laboratory | [['we', 'study', 'a', 'fivedimensional', 'perfect', 'fluid', 'coupled', 'with', 'kaluzaklein', 'kk', 'gravity', 'by', 'dimensional', 'reduction', 'a', 'modified', 'form', 'of', 'maxwells', 'equation', 'is', 'obtained', 'which', 'is', 'relevant', 'to', 'the', 'equation', 'of', 'state', 'of', 'the', 'source', 'since', 'the', 'relativistic', 'magnetohydrodynamics', 'mhd', 'and', 'the', '3dimensional', 'formulation', 'are', 'widely', 'used', 'to', 'study', 'space', 'matter', 'we', 'derive', 'the', 'modified', 'maxwells', 'equations', 'and', 'relativistic', 'mhd', 'in', '31', 'form', 'we', 'then', 'take', 'an', 'ideal', 'fermi', 'gas', 'as', 'an', 'example', 'to', 'study', 'the', 'modified', 'effect', 'which', 'can', 'be', 'visible', 'under', 'high', 'density', 'or', 'high', 'energy', 'condition', 'while', 'the', 'traditional', 'maxwells', 'equation', 'can', 'be', 'regarded', 'as', 'a', 'result', 'in', 'the', 'low', 'density', 'and', 'low', 'temperature', 'limit', 'we', 'also', 'indicate', 'the', 'possibility', 'to', 'test', 'the', 'staterelevant', 'effect', 'of', 'kk', 'theory', 'in', 'a', 'telluric', 'laboratory']] | [-0.10813624143159613, 0.12981159673439774, -0.11303316111309973, 0.08633523063589131, -0.09386675063230586, -0.12481068515936371, -0.04170433349514258, 0.2540887233984397, -0.242415444923519, -0.33443245197814264, 0.06387706997434105, -0.23207863588000602, -0.08619437011371016, 0.17630444130417508, -0.011599048212567558, 0.0536164913868501, 0.009233912316601357, 0.02872711962440097, -0.07487237617587213, -0.19750985974583346, 0.31884590396275897, 0.10155154922820836, 0.27363549582812874, 0.026831809988104142, 0.12061416382183794, -0.040662215014950175, 0.019567733653439362, 0.08071687269825145, -0.14521607429125025, 0.021980562522152407, 0.230917244725937, 0.03620556254153613, 0.22012403848977974, -0.46201327797330793, -0.26425373526748086, 0.03844570725789813, 0.1297613482838344, 0.16105680646695442, -0.05749167574256597, -0.2723570441613432, 0.05036445191801816, -0.20382722627779956, -0.18949115998875043, -0.06521908960641042, -0.05147477647778197, -0.03977691744631691, -0.2706852017092656, 0.11096626322608648, 0.036660603707518856, 0.0032377535416210283, -0.12560178255891336, -0.07945069319904462, -0.03699415467190938, 0.030353439538586945, 0.05186620314288732, 0.018737869665454158, 0.1037003554510655, -0.14807788368208824, -0.05322485030476065, 0.46032303293831034, -0.15601049454455249, -0.25480414072021107, 0.183147634295594, -0.15995521856792516, -0.0918375572731688, 0.13284010136667945, 0.18385722627863288, 0.13294342834670403, -0.16474389270344963, 0.10771969439687024, -0.07739155016816603, 0.14168305127675354, 0.0683816253096934, 0.022266695680493703, 0.23153767595830999, 0.12135991007929332, -0.00386094709392637, 0.13714443289743522, -0.09309511326375555, -0.07484699021948532, -0.3288844778950586, -0.20606400964964852, -0.14726046075830695, 0.10160130691775655, -0.08167500638359582, -0.15131662486380607, 0.30611073915068, 0.13227358341864004, 0.11308970154247812, -0.024634566106528165, 0.29112783752259663, 0.20862267129924758, 0.026354091665631192, 0.10250826570067982, 0.26649157600057477, 0.16454263789899892, 0.0943550269394258, -0.2502720632750663, -0.06914586754378359, 0.10305353465154156] |
707.4538 | A Note on Polonyi Problem | We reinvestigate the cosmological Polonyi problem in the case where the
Polonyi mass is $\mathcal{O}(10) \rm{TeV}$. Such a large supersymmetry breaking
scale implies that the Polonyi field should be sequestered from the standard
model sector. Since the Polonyi field does not have a coupling to the gauge
multiplets at tree level, in order to obtain sufficiently high reheating
temperature compatible with the standard big-bang nucleosynthesis the Polonyi
mass well exceeds 100 - 1000 TeV, depending on the decay channels. Moreover, we
find that the branching ratio of the Polonyi field into neutralinos is of order
unity, and thus the resulting neutralino LSPs, if stable, overclose the
Universe even for the case of the wino-like LSP. Our explicit computation given
here exhibits a very serious cosmological difficulty for models where
supersymmetry breaking is caused by the Polonyi-type field.
| hep-ph | we reinvestigate the cosmological polonyi problem in the case where the polonyi mass is mathcalo10 rmtev such a large supersymmetry breaking scale implies that the polonyi field should be sequestered from the standard model sector since the polonyi field does not have a coupling to the gauge multiplets at tree level in order to obtain sufficiently high reheating temperature compatible with the standard bigbang nucleosynthesis the polonyi mass well exceeds 100 1000 tev depending on the decay channels moreover we find that the branching ratio of the polonyi field into neutralinos is of order unity and thus the resulting neutralino lsps if stable overclose the universe even for the case of the winolike lsp our explicit computation given here exhibits a very serious cosmological difficulty for models where supersymmetry breaking is caused by the polonyitype field | [['we', 'reinvestigate', 'the', 'cosmological', 'polonyi', 'problem', 'in', 'the', 'case', 'where', 'the', 'polonyi', 'mass', 'is', 'mathcalo10', 'rmtev', 'such', 'a', 'large', 'supersymmetry', 'breaking', 'scale', 'implies', 'that', 'the', 'polonyi', 'field', 'should', 'be', 'sequestered', 'from', 'the', 'standard', 'model', 'sector', 'since', 'the', 'polonyi', 'field', 'does', 'not', 'have', 'a', 'coupling', 'to', 'the', 'gauge', 'multiplets', 'at', 'tree', 'level', 'in', 'order', 'to', 'obtain', 'sufficiently', 'high', 'reheating', 'temperature', 'compatible', 'with', 'the', 'standard', 'bigbang', 'nucleosynthesis', 'the', 'polonyi', 'mass', 'well', 'exceeds', '100', '1000', 'tev', 'depending', 'on', 'the', 'decay', 'channels', 'moreover', 'we', 'find', 'that', 'the', 'branching', 'ratio', 'of', 'the', 'polonyi', 'field', 'into', 'neutralinos', 'is', 'of', 'order', 'unity', 'and', 'thus', 'the', 'resulting', 'neutralino', 'lsps', 'if', 'stable', 'overclose', 'the', 'universe', 'even', 'for', 'the', 'case', 'of', 'the', 'winolike', 'lsp', 'our', 'explicit', 'computation', 'given', 'here', 'exhibits', 'a', 'very', 'serious', 'cosmological', 'difficulty', 'for', 'models', 'where', 'supersymmetry', 'breaking', 'is', 'caused', 'by', 'the', 'polonyitype', 'field']] | [-0.1316685640205698, 0.2734793277112422, -0.003363976499962586, 0.16557447891251217, -0.10240206840551562, -0.16556571303107948, -0.0005368711426854134, 0.290743919255005, -0.24150726391968352, -0.34128343900320707, 0.10780951621493808, -0.22029704973101616, -0.0060820300201023065, 0.10701934459567485, 0.00010794075227480519, -0.007584672145269535, 0.054725995632233446, 0.057057899917924294, -0.02079272304178664, -0.2692328587381376, 0.31345693851924605, 0.05799833416800808, 0.18799359817402783, 0.08222844869726234, 0.06712037338357833, -0.061681608403860416, 0.05966302739732243, -0.05866980087701921, -0.12074472738518294, 0.015523283893276972, 0.17338204457097434, 0.08605503640655014, 0.15701801224991127, -0.37325411200333664, -0.19334365382480126, 0.2306901631842333, 0.18819210872192074, 0.1516299231081373, -0.0781532578834298, -0.2737742486892751, 0.1221177326998225, -0.18196274858071573, -0.09862624368984985, -0.01657868227748959, -0.031061682299952265, -0.15367445906072302, -0.314791802416935, 0.11912546016068923, -0.05131776178928299, -0.03379493740007833, -0.010570371326886945, -0.1024379866335679, -0.07487441097834596, -0.01887052621761406, 0.19326202023722644, 0.02203022788593511, 0.17559729421304332, -0.22152502785471304, -0.0760531435151481, 0.4554726661631355, -0.1532908051326457, -0.1351023599850359, 0.12750990975096269, -0.13961398115519572, -0.18899962858262437, 0.147084604555534, 0.13241261414217728, 0.1085189320060804, -0.09983029348292836, 0.21840100971317886, -0.013541816968332837, 0.2155208940376286, 0.0804982249883728, 0.006452844257432001, 0.29918616193312186, 0.19674731006293936, 0.06352278112985746, 0.05527208227302051, -0.06027172631929042, -0.08826870622320307, -0.3855498096664195, -0.10387119752035856, -0.1111907553712458, 0.08096359866440589, -0.12633454399862482, -0.12973929608447685, 0.35974261066703883, 0.1592866688983998, 0.23022018986305706, 0.08304849215265778, 0.2739829489754306, 0.10304870671437433, 0.10566973306100677, 0.051003311047571956, 0.3436273569827554, 0.1286747540605979, 0.08457959227746835, -0.23185854850992285, -0.01727213575332253, 0.030244135927339946] |
707.4539 | Periodic relativity: the theory of gravity in flat space time | Periodic relativity (PR), uses a flat metric without weak field
approximation. PR satisfies Einstein's field equations. PR proposes a definite
connection between the proper time interval of an object and Doppler frequency
shift of its constituent particles. This is because fundamentally time is
periodic in nature. Periodic time of PR is the key parameter in development of
quantum gravity theory in which the universe begins with a quantum fluctuation
in the fundamental substance of the universe which is infinite, motionless and
indivisible. PR is based on the dynamic weak equivalence principle which
equates the gravitational mass with the relativistic mass. PR provides accurate
solutions for the rotation curves of galaxies and the energy levels of the
Hydrogen spectra including Lamb shift using common formalism. Flat space time
with Lorentz invariant acceleration presented here makes it possible to unite
PR with quantum mechanics. PR predicts limiting radius of the event horizon of
a black hole to be 1R_g and the shadow of a black hole to be due to frequency
shift of visible light into ultraviolet and higher range. PR equations can
probe inside the event horizon. Mathematical proof of periodic nature of time
is presented by way of introducing gravity into the electromagnetic wave
formalism. Theory shows that the electromagnetic wave is held together by
gravitational forces. Theory explains the mechanism of gravitational redshift
predicted by general relativity and predicts powerful gravitational radiation
at Planck epoch. Gravitational-wave strain amplitude is derived using quantum
mechanical formalism. Bound on graviton mass is mg < 1.51 x 10^{-41}eV/c^2.
Mechanism that explains Gamma-ray burst associated with GW150914 is presented.
GRB can shrink the event horizon. Gravity assisted EM wave stacking creates
$\gamma$-rays in M87 BH.
| physics.gen-ph | periodic relativity pr uses a flat metric without weak field approximation pr satisfies einsteins field equations pr proposes a definite connection between the proper time interval of an object and doppler frequency shift of its constituent particles this is because fundamentally time is periodic in nature periodic time of pr is the key parameter in development of quantum gravity theory in which the universe begins with a quantum fluctuation in the fundamental substance of the universe which is infinite motionless and indivisible pr is based on the dynamic weak equivalence principle which equates the gravitational mass with the relativistic mass pr provides accurate solutions for the rotation curves of galaxies and the energy levels of the hydrogen spectra including lamb shift using common formalism flat space time with lorentz invariant acceleration presented here makes it possible to unite pr with quantum mechanics pr predicts limiting radius of the event horizon of a black hole to be 1r_g and the shadow of a black hole to be due to frequency shift of visible light into ultraviolet and higher range pr equations can probe inside the event horizon mathematical proof of periodic nature of time is presented by way of introducing gravity into the electromagnetic wave formalism theory shows that the electromagnetic wave is held together by gravitational forces theory explains the mechanism of gravitational redshift predicted by general relativity and predicts powerful gravitational radiation at planck epoch gravitationalwave strain amplitude is derived using quantum mechanical formalism bound on graviton mass is mg 151 x 1041evc2 mechanism that explains gammaray burst associated with gw150914 is presented grb can shrink the event horizon gravity assisted em wave stacking creates gammarays in m87 bh | [['periodic', 'relativity', 'pr', 'uses', 'a', 'flat', 'metric', 'without', 'weak', 'field', 'approximation', 'pr', 'satisfies', 'einsteins', 'field', 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707.454 | The first high-amplitude delta Scuti star in an eclipsing binary system | We report the discovery of the first high-amplitude delta Scuti star in an
eclipsing binary, which we have designated UNSW-V-500. The system is an
Algol-type semi-detached eclipsing binary of maximum brightness V = 12.52 mag.
A best-fitting solution to the binary light curve and two radial velocity
curves is derived using the Wilson-Devinney code. We identify a late A spectral
type primary component of mass 1.49+/-0.02 M_sun and a late K spectral type
secondary of mass 0.33+/-0.02 M_sun, with an inclination of 86.5+/-1.0 degrees,
and a period of 5.3504751+/-0.0000006 d. A Fourier analysis of the residuals
from this solution is performed using PERIOD04 to investigate the delta Scuti
pulsations. We detect a single pulsation frequency of f_1 = 13.621+/-0.015 c/d,
and it appears this is the first overtone radial mode frequency. This system
provides the first opportunity to measure the dynamical mass for a star of this
variable type; previously, masses have been derived from stellar evolution and
pulsation models.
| astro-ph | we report the discovery of the first highamplitude delta scuti star in an eclipsing binary which we have designated unswv500 the system is an algoltype semidetached eclipsing binary of maximum brightness v 1252 mag a bestfitting solution to the binary light curve and two radial velocity curves is derived using the wilsondevinney code we identify a late a spectral type primary component of mass 149002 m_sun and a late k spectral type secondary of mass 033002 m_sun with an inclination of 86510 degrees and a period of 5350475100000006 d a fourier analysis of the residuals from this solution is performed using period04 to investigate the delta scuti pulsations we detect a single pulsation frequency of f_1 136210015 cd and it appears this is the first overtone radial mode frequency this system provides the first opportunity to measure the dynamical mass for a star of this variable type previously masses have been derived from stellar evolution and pulsation models | [['we', 'report', 'the', 'discovery', 'of', 'the', 'first', 'highamplitude', 'delta', 'scuti', 'star', 'in', 'an', 'eclipsing', 'binary', 'which', 'we', 'have', 'designated', 'unswv500', 'the', 'system', 'is', 'an', 'algoltype', 'semidetached', 'eclipsing', 'binary', 'of', 'maximum', 'brightness', 'v', '1252', 'mag', 'a', 'bestfitting', 'solution', 'to', 'the', 'binary', 'light', 'curve', 'and', 'two', 'radial', 'velocity', 'curves', 'is', 'derived', 'using', 'the', 'wilsondevinney', 'code', 'we', 'identify', 'a', 'late', 'a', 'spectral', 'type', 'primary', 'component', 'of', 'mass', '149002', 'm_sun', 'and', 'a', 'late', 'k', 'spectral', 'type', 'secondary', 'of', 'mass', '033002', 'm_sun', 'with', 'an', 'inclination', 'of', '86510', 'degrees', 'and', 'a', 'period', 'of', '5350475100000006', 'd', 'a', 'fourier', 'analysis', 'of', 'the', 'residuals', 'from', 'this', 'solution', 'is', 'performed', 'using', 'period04', 'to', 'investigate', 'the', 'delta', 'scuti', 'pulsations', 'we', 'detect', 'a', 'single', 'pulsation', 'frequency', 'of', 'f_1', '136210015', 'cd', 'and', 'it', 'appears', 'this', 'is', 'the', 'first', 'overtone', 'radial', 'mode', 'frequency', 'this', 'system', 'provides', 'the', 'first', 'opportunity', 'to', 'measure', 'the', 'dynamical', 'mass', 'for', 'a', 'star', 'of', 'this', 'variable', 'type', 'previously', 'masses', 'have', 'been', 'derived', 'from', 'stellar', 'evolution', 'and', 'pulsation', 'models']] | [-0.1558797923633844, 0.09459290585700907, -0.12986644002566344, 0.033619731747594, -0.1360132616938524, -0.12793042483127803, 0.0969729906243266, 0.358027627241183, -0.19911716027593154, -0.30384347903134384, 0.06923245546313649, -0.28015911906616753, -0.0756831222877296, 0.2095395561514629, -0.06165657857177304, 0.024685458352430144, 0.11682428931513059, 0.021419469772357178, -0.07731544970001362, -0.2268685936574745, 0.2815899299701152, -0.008047474103864112, 0.07856911274427975, -0.0909052976754074, 0.05102165089007102, -0.06496904979709511, -0.04831572065188464, -0.10100544737712815, -0.17289049761199388, 0.02738760757941777, 0.18600094758896815, 0.15504190548676144, 0.19994827719660951, -0.23754187422694967, -0.21069577198134723, 0.06910050396649228, 0.16887977312614205, 0.03321293819303095, -0.03137114580745012, -0.22150286252981696, 0.06812508115423174, -0.21097310570074745, -0.18703949742713102, 0.0456490286543556, 0.13270471028959244, 0.039882578747042645, -0.2744211351401568, 0.1220404875915181, 0.04198836649861643, 0.12830405906481923, -0.14244323657229055, -0.13598220486626078, -0.06632011243769156, 0.06444716175068535, 0.035301790633573644, 0.10781639864899559, 0.020205136187666773, -0.05242311746320304, -0.03644663771748348, 0.3849527683486444, -0.13535513460645268, -0.041581007061538354, 0.18530760871115584, -0.16565975468922284, -0.15767342785032454, 0.12275766239051092, 0.18313628521571362, 0.1625952828185499, -0.22867943974534427, -0.0054205407291876, 0.029806101889489522, 0.2922078138765167, 0.07800513881508236, 0.02770966396734021, 0.32958184157078174, 0.17117110176736283, -0.023825309466071476, 0.0950639364671029, -0.27662823194930075, 0.010334120013331081, -0.23175941693773067, -0.11144020028710609, -0.1345793399341584, 0.07693361835265106, -0.12848992592126687, -0.15145314876233634, 0.4396027097831559, 0.04098682062322992, 0.18227274702204502, 0.018876224750914654, 0.27133248856799447, 0.15721039085655042, 0.05785979775400312, 0.1219135793991192, 0.31792868843630834, 0.22695641852671805, 0.1003796278432109, -0.2973712316129868, 0.022426604679816105, 0.04268726995945269] |
707.4541 | GAW - An Imaging Atmospheric Cherenkov Telescope with Large Field of
View | GAW, acronym for Gamma Air Watch, is a Research and Development experiment in
the TeV range, whose main goal is to explore the feasibility of large field of
view Imaging Atmospheric Cherenkov Telescopes. GAW is an array of three
relatively small telescopes (2.13 m diameter) which differs from the existing
and presently planned projects in two main features: the adoption of a
refractive optics system as light collector and the use of single photoelectron
counting as detector working mode. The optics system allows to achieve a large
field of view (24x24 squared degrees) suitable for surveys of large sky
regions. The single photoelectron counting mode in comparison with the charge
integration mode improves the sensitivity by permitting also the reconstruction
of events with a small number of collected Cherenkov photons. GAW, which is a
collaboration effort of Research Institutes in Italy, Portugal and Spain, will
be erected in the Calar Alto Observatory (Sierra de Los Filabres - Andalucia,
Spain), at 2150 m a.s.l.). The first telescope will be settled within Autumn
2007. This paper shows the main characteristics of the experiment and its
expected performance.
| astro-ph | gaw acronym for gamma air watch is a research and development experiment in the tev range whose main goal is to explore the feasibility of large field of view imaging atmospheric cherenkov telescopes gaw is an array of three relatively small telescopes 213 m diameter which differs from the existing and presently planned projects in two main features the adoption of a refractive optics system as light collector and the use of single photoelectron counting as detector working mode the optics system allows to achieve a large field of view 24x24 squared degrees suitable for surveys of large sky regions the single photoelectron counting mode in comparison with the charge integration mode improves the sensitivity by permitting also the reconstruction of events with a small number of collected cherenkov photons gaw which is a collaboration effort of research institutes in italy portugal and spain will be erected in the calar alto observatory sierra de los filabres andalucia spain at 2150 m asl the first telescope will be settled within autumn 2007 this paper shows the main characteristics of the experiment and its expected performance | [['gaw', 'acronym', 'for', 'gamma', 'air', 'watch', 'is', 'a', 'research', 'and', 'development', 'experiment', 'in', 'the', 'tev', 'range', 'whose', 'main', 'goal', 'is', 'to', 'explore', 'the', 'feasibility', 'of', 'large', 'field', 'of', 'view', 'imaging', 'atmospheric', 'cherenkov', 'telescopes', 'gaw', 'is', 'an', 'array', 'of', 'three', 'relatively', 'small', 'telescopes', '213', 'm', 'diameter', 'which', 'differs', 'from', 'the', 'existing', 'and', 'presently', 'planned', 'projects', 'in', 'two', 'main', 'features', 'the', 'adoption', 'of', 'a', 'refractive', 'optics', 'system', 'as', 'light', 'collector', 'and', 'the', 'use', 'of', 'single', 'photoelectron', 'counting', 'as', 'detector', 'working', 'mode', 'the', 'optics', 'system', 'allows', 'to', 'achieve', 'a', 'large', 'field', 'of', 'view', '24x24', 'squared', 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707.4542 | Structural properties of proportional fairness: stability and
insensitivity | In this article we provide a novel characterization of the proportionally
fair bandwidth allocation of network capacities, in terms of the
Fenchel--Legendre transform of the network capacity region. We use this
characterization to prove stability (i.e., ergodicity) of network dynamics
under proportionally fair sharing, by exhibiting a suitable Lyapunov function.
Our stability result extends previously known results to a more general model
including Markovian users routing. In particular, it implies that the stability
condition previously known under exponential service time distributions remains
valid under so-called phase-type service time distributions. We then exhibit a
modification of proportional fairness, which coincides with it in some
asymptotic sense, is reversible (and thus insensitive), and has explicit
stationary distribution. Finally we show that the stationary distributions
under modified proportional fairness and balanced fairness, a sharing criterion
proposed because of its insensitivity properties, admit the same large
deviations characteristics. These results show that proportional fairness is an
attractive bandwidth allocation criterion, combining the desirable properties
of ease of implementation with performance and insensitivity.
| math.PR | in this article we provide a novel characterization of the proportionally fair bandwidth allocation of network capacities in terms of the fenchellegendre transform of the network capacity region we use this characterization to prove stability ie ergodicity of network dynamics under proportionally fair sharing by exhibiting a suitable lyapunov function our stability result extends previously known results to a more general model including markovian users routing in particular it implies that the stability condition previously known under exponential service time distributions remains valid under socalled phasetype service time distributions we then exhibit a modification of proportional fairness which coincides with it in some asymptotic sense is reversible and thus insensitive and has explicit stationary distribution finally we show that the stationary distributions under modified proportional fairness and balanced fairness a sharing criterion proposed because of its insensitivity properties admit the same large deviations characteristics these results show that proportional fairness is an attractive bandwidth allocation criterion combining the desirable properties of ease of implementation with performance and insensitivity | [['in', 'this', 'article', 'we', 'provide', 'a', 'novel', 'characterization', 'of', 'the', 'proportionally', 'fair', 'bandwidth', 'allocation', 'of', 'network', 'capacities', 'in', 'terms', 'of', 'the', 'fenchellegendre', 'transform', 'of', 'the', 'network', 'capacity', 'region', 'we', 'use', 'this', 'characterization', 'to', 'prove', 'stability', 'ie', 'ergodicity', 'of', 'network', 'dynamics', 'under', 'proportionally', 'fair', 'sharing', 'by', 'exhibiting', 'a', 'suitable', 'lyapunov', 'function', 'our', 'stability', 'result', 'extends', 'previously', 'known', 'results', 'to', 'a', 'more', 'general', 'model', 'including', 'markovian', 'users', 'routing', 'in', 'particular', 'it', 'implies', 'that', 'the', 'stability', 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707.4543 | Electroweak phase transition in the MNMSSM with explicit CP violation | In explicit CP violation scenario of the minimal non-minimal supersymmetric
standard model (MNMSSM), the possibility of a strongly first-order electroweak
phase transition (EWPT) is investigated at the one-loop level, where the
radiative corrections from the loops of the top and stop quarks are taken into
account. Assuming that the stop quark masses are not degenerate, the radiative
corrections due to the stop quarks give rise to a CP phase, which triggers the
scalar-pseudoscalar mixing in the Higgs sector of the MNMSSM. The lighter stop
quark need not always to have a small mass in order to ensure the strongly
first-order EWPT. In the MNMSSM with explicit CP violation, it is found that
the strength of the first-order EWPT depends on several factors, such as the
lightest neutral Higgs boson mass and the nontrivial CP phase arising from stop
quark masses. The effects of these factors are discussed.
| hep-ph | in explicit cp violation scenario of the minimal nonminimal supersymmetric standard model mnmssm the possibility of a strongly firstorder electroweak phase transition ewpt is investigated at the oneloop level where the radiative corrections from the loops of the top and stop quarks are taken into account assuming that the stop quark masses are not degenerate the radiative corrections due to the stop quarks give rise to a cp phase which triggers the scalarpseudoscalar mixing in the higgs sector of the mnmssm the lighter stop quark need not always to have a small mass in order to ensure the strongly firstorder ewpt in the mnmssm with explicit cp violation it is found that the strength of the firstorder ewpt depends on several factors such as the lightest neutral higgs boson mass and the nontrivial cp phase arising from stop quark masses the effects of these factors are discussed | [['in', 'explicit', 'cp', 'violation', 'scenario', 'of', 'the', 'minimal', 'nonminimal', 'supersymmetric', 'standard', 'model', 'mnmssm', 'the', 'possibility', 'of', 'a', 'strongly', 'firstorder', 'electroweak', 'phase', 'transition', 'ewpt', 'is', 'investigated', 'at', 'the', 'oneloop', 'level', 'where', 'the', 'radiative', 'corrections', 'from', 'the', 'loops', 'of', 'the', 'top', 'and', 'stop', 'quarks', 'are', 'taken', 'into', 'account', 'assuming', 'that', 'the', 'stop', 'quark', 'masses', 'are', 'not', 'degenerate', 'the', 'radiative', 'corrections', 'due', 'to', 'the', 'stop', 'quarks', 'give', 'rise', 'to', 'a', 'cp', 'phase', 'which', 'triggers', 'the', 'scalarpseudoscalar', 'mixing', 'in', 'the', 'higgs', 'sector', 'of', 'the', 'mnmssm', 'the', 'lighter', 'stop', 'quark', 'need', 'not', 'always', 'to', 'have', 'a', 'small', 'mass', 'in', 'order', 'to', 'ensure', 'the', 'strongly', 'firstorder', 'ewpt', 'in', 'the', 'mnmssm', 'with', 'explicit', 'cp', 'violation', 'it', 'is', 'found', 'that', 'the', 'strength', 'of', 'the', 'firstorder', 'ewpt', 'depends', 'on', 'several', 'factors', 'such', 'as', 'the', 'lightest', 'neutral', 'higgs', 'boson', 'mass', 'and', 'the', 'nontrivial', 'cp', 'phase', 'arising', 'from', 'stop', 'quark', 'masses', 'the', 'effects', 'of', 'these', 'factors', 'are', 'discussed']] | [-0.10026633587101993, 0.3286971347343151, -0.002021032870195958, 0.1748922087305992, -0.09126725696901582, -0.1612743690299491, 0.11243592709505638, 0.28662851083941354, -0.22029736799941885, -0.2696115224032986, 0.06151944440219323, -0.24949594688456075, -0.009455722674321966, 0.09119531126901964, 0.08345294865101677, 0.055006131827577846, 0.031246292943350313, 0.02886321546737941, -0.101503428062234, -0.23111438287618463, 0.32030038957857865, -0.04114337787855746, 0.16833238947350962, 0.1572440445936304, 0.011636414118491265, -0.06703250480460979, -0.014082928405136984, -0.0937538547378008, -0.09023544985571715, -0.004787452366887306, 0.1361875153296361, 0.04547425392749054, 0.11595063277570329, -0.35639643588033665, -0.12939204052280712, 0.19474198112777452, 0.1182777357499945, 0.13163841058591977, -0.08015099787913567, -0.3363771781730814, 0.0729996076892732, -0.20241826347575909, -0.09593384772488454, -0.06127833310106047, -0.06860201007870285, -0.13746372073869773, -0.36639647946224174, 0.0809692191720313, -0.018791246636561593, -0.03241754882116834, 0.06358498276914565, -0.14401731531604567, -0.1368547186927021, 0.05426693621858143, 0.18992285702463088, 0.006362545859348979, 0.1441630105516512, -0.19441080920803708, -0.11099585242645472, 0.49731550091991616, -0.09764683770323108, -0.16146473428804656, 0.1340195757588752, -0.1964799143741427, -0.13870902182724404, 0.19394360012596562, 0.19803259527424769, 0.07715498956972036, -0.15732767870396275, 0.16869267725249512, -0.013534647368249438, 0.19770651113647383, 0.052552623550730704, 0.05207400720528498, 0.2886997767958511, 0.1644463273031371, 0.025357133995576882, 0.054110266071851966, -0.031600105200837156, -0.14651789020772288, -0.44134992056963396, -0.12316255390542705, -0.0314800906625456, -0.0002876065865865446, -0.09854377358165874, -0.14122740957936664, 0.39819631233279196, 0.12938257682510987, 0.21111033008541583, 0.004839782774936231, 0.30385139712835757, 0.12430541642361834, 0.12172629062694554, 0.029503829752690582, 0.38590999091436873, 0.1579063269024601, 0.13573816195003638, -0.30009735970232054, 0.0282893923244306, 0.12352098406096097] |
707.4544 | Orbital period derivative of a binary system using an exact orbital
energy equation | It is proposed that the equations of motion in periodic relativity which
yielded major predictions of general relativity are exact in nature and can be
applied to pulsars and inspiraling compact binaries for analyzing orbital
period derivative and two polarization gravitational wave forms. Exactness of
these equations eliminates the need for higher order xPN corrections to the
orbital energy part of the balance equation. This is mainly due to the
introduction of dynamic WEP which states that the gravitational mass is equal
to the relativistic mass.
| physics.gen-ph | it is proposed that the equations of motion in periodic relativity which yielded major predictions of general relativity are exact in nature and can be applied to pulsars and inspiraling compact binaries for analyzing orbital period derivative and two polarization gravitational wave forms exactness of these equations eliminates the need for higher order xpn corrections to the orbital energy part of the balance equation this is mainly due to the introduction of dynamic wep which states that the gravitational mass is equal to the relativistic mass | [['it', 'is', 'proposed', 'that', 'the', 'equations', 'of', 'motion', 'in', 'periodic', 'relativity', 'which', 'yielded', 'major', 'predictions', 'of', 'general', 'relativity', 'are', 'exact', 'in', 'nature', 'and', 'can', 'be', 'applied', 'to', 'pulsars', 'and', 'inspiraling', 'compact', 'binaries', 'for', 'analyzing', 'orbital', 'period', 'derivative', 'and', 'two', 'polarization', 'gravitational', 'wave', 'forms', 'exactness', 'of', 'these', 'equations', 'eliminates', 'the', 'need', 'for', 'higher', 'order', 'xpn', 'corrections', 'to', 'the', 'orbital', 'energy', 'part', 'of', 'the', 'balance', 'equation', 'this', 'is', 'mainly', 'due', 'to', 'the', 'introduction', 'of', 'dynamic', 'wep', 'which', 'states', 'that', 'the', 'gravitational', 'mass', 'is', 'equal', 'to', 'the', 'relativistic', 'mass']] | [-0.18529272068638442, 0.12943597451978645, -0.08899122381415002, 0.12476170644824675, -0.14883060807492152, -0.07564231217297357, -0.03216298633569115, 0.2894557029940188, -0.21889160091577228, -0.32047585434778486, 0.06585816161566262, -0.25477935525393763, -0.08986771718847977, 0.21016376686477384, -0.02114387921908421, 0.05653560707388922, 0.07926431310168186, 0.0011379252794350302, -0.10515438856795258, -0.2197124303675928, 0.3449030979861354, 0.06426160374851247, 0.16316479855476942, 0.02119588814838248, 0.10644528100830178, -0.00978637811305478, -0.001333096699835191, -0.001561335742820141, -0.07475362006161324, 0.10381292553854088, 0.23506428728010073, 0.07344739048655123, 0.22555446938806495, -0.4063117950504949, -0.20163053849192206, 0.07539209212328113, 0.09460323336561276, 0.15432825813145745, -0.0218031253709003, -0.2974531899617855, 0.07830511668133874, -0.21371931881578857, -0.1865299805825533, -0.07305252181669307, 0.0919697402453938, 0.02754983257199096, -0.2283406061835067, 0.12910988293913042, 0.07658072510127757, -0.045228245603137235, -0.13093481399558843, -0.08430396859279596, -0.044614957033678196, 0.06576349944699296, 0.12928854768451434, 0.06037625508534527, 0.08122234842144387, -0.08873854163319392, -0.08900124973314273, 0.44140940390224026, -0.038468779125629904, -0.2149276629870021, 0.17644526121114532, -0.19926504300214176, -0.12388053332011453, 0.1726435938979955, 0.18064341194884376, 0.12625918762086955, -0.18195673972801413, 0.05894597846443418, 0.07017722422663843, 0.18058780129175894, 0.10479103985545767, 0.043440595640784646, 0.2855173808111008, 0.07460952213380573, 0.047955264589142836, 0.055097067234550365, -0.09170982641774382, -0.13403323968482572, -0.3023639261116122, -0.12694840745994995, -0.1519574427673983, 0.08290383070866376, -0.08008018895651371, -0.12882258853506903, 0.38489795730687504, 0.14459077344644208, 0.05773149960306148, 0.040416850841084366, 0.30036982668152207, 0.18675313386416367, 0.06225147003698472, 0.06768523046183725, 0.3410200692177209, 0.1892014364359987, 0.088802692063456, -0.26390801771370653, 0.040507265826860483, 0.07875295503194941] |
707.4545 | Constraints on New Physics from Long Baseline Neutrino Oscillation
Experiments | New physics beyond the Standard Model can lead to extra matter effects on
neutrino oscillation if the new interactions distinguish among the three
flavors of neutrino. In a previous paper, we argued that a long-baseline
neutrino oscillation experiment in which the Fermilab-NUMI beam in its
high-energy mode is aimed at the planned Hyper-Kamiokande detector would be
capable of constraining the size of those extra effects, provided the vacuum
value of \sin^2 2\theta_{23} is not too close to one. In this paper, we discuss
how such a constraint would translate into limits on the coupling constants and
masses of new particles in various models. The models we consider are: models
with generation distinguishing Z's such as topcolor assisted technicolor,
models containing various types of leptoquarks, R-parity violating SUSY, and
extended Higgs sector models. In several cases, we find that the limits thus
obtained could be competitive with those expected from direct searches at the
LHC. In the event that any of the particles discussed here are discovered at
the LHC, then the observation, or non-observation, of their matter effects
could help in identifying what type of particle had been observed.
| hep-ph | new physics beyond the standard model can lead to extra matter effects on neutrino oscillation if the new interactions distinguish among the three flavors of neutrino in a previous paper we argued that a longbaseline neutrino oscillation experiment in which the fermilabnumi beam in its highenergy mode is aimed at the planned hyperkamiokande detector would be capable of constraining the size of those extra effects provided the vacuum value of sin2 2theta_23 is not too close to one in this paper we discuss how such a constraint would translate into limits on the coupling constants and masses of new particles in various models the models we consider are models with generation distinguishing zs such as topcolor assisted technicolor models containing various types of leptoquarks rparity violating susy and extended higgs sector models in several cases we find that the limits thus obtained could be competitive with those expected from direct searches at the lhc in the event that any of the particles discussed here are discovered at the lhc then the observation or nonobservation of their matter effects could help in identifying what type of particle had been observed | [['new', 'physics', 'beyond', 'the', 'standard', 'model', 'can', 'lead', 'to', 'extra', 'matter', 'effects', 'on', 'neutrino', 'oscillation', 'if', 'the', 'new', 'interactions', 'distinguish', 'among', 'the', 'three', 'flavors', 'of', 'neutrino', 'in', 'a', 'previous', 'paper', 'we', 'argued', 'that', 'a', 'longbaseline', 'neutrino', 'oscillation', 'experiment', 'in', 'which', 'the', 'fermilabnumi', 'beam', 'in', 'its', 'highenergy', 'mode', 'is', 'aimed', 'at', 'the', 'planned', 'hyperkamiokande', 'detector', 'would', 'be', 'capable', 'of', 'constraining', 'the', 'size', 'of', 'those', 'extra', 'effects', 'provided', 'the', 'vacuum', 'value', 'of', 'sin2', '2theta_23', 'is', 'not', 'too', 'close', 'to', 'one', 'in', 'this', 'paper', 'we', 'discuss', 'how', 'such', 'a', 'constraint', 'would', 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707.4546 | Good rough path sequences and applications to anticipating stochastic
calculus | We consider anticipative Stratonovich stochastic differential equations
driven by some stochastic process lifted to a rough path. Neither adaptedness
of initial point and vector fields nor commuting conditions between vector
field is assumed. Under a simple condition on the stochastic process, we show
that the unique solution of the above SDE understood in the rough path sense is
actually a Stratonovich solution. We then show that this condition is satisfied
by the Brownian motion. As application, we obtain rather flexible results such
as support theorems, large deviation principles and Wong--Zakai approximations
for SDEs driven by Brownian motion along anticipating vectorfields. In
particular, this unifies many results on anticipative SDEs.
| math.PR | we consider anticipative stratonovich stochastic differential equations driven by some stochastic process lifted to a rough path neither adaptedness of initial point and vector fields nor commuting conditions between vector field is assumed under a simple condition on the stochastic process we show that the unique solution of the above sde understood in the rough path sense is actually a stratonovich solution we then show that this condition is satisfied by the brownian motion as application we obtain rather flexible results such as support theorems large deviation principles and wongzakai approximations for sdes driven by brownian motion along anticipating vectorfields in particular this unifies many results on anticipative sdes | [['we', 'consider', 'anticipative', 'stratonovich', 'stochastic', 'differential', 'equations', 'driven', 'by', 'some', 'stochastic', 'process', 'lifted', 'to', 'a', 'rough', 'path', 'neither', 'adaptedness', 'of', 'initial', 'point', 'and', 'vector', 'fields', 'nor', 'commuting', 'conditions', 'between', 'vector', 'field', 'is', 'assumed', 'under', 'a', 'simple', 'condition', 'on', 'the', 'stochastic', 'process', 'we', 'show', 'that', 'the', 'unique', 'solution', 'of', 'the', 'above', 'sde', 'understood', 'in', 'the', 'rough', 'path', 'sense', 'is', 'actually', 'a', 'stratonovich', 'solution', 'we', 'then', 'show', 'that', 'this', 'condition', 'is', 'satisfied', 'by', 'the', 'brownian', 'motion', 'as', 'application', 'we', 'obtain', 'rather', 'flexible', 'results', 'such', 'as', 'support', 'theorems', 'large', 'deviation', 'principles', 'and', 'wongzakai', 'approximations', 'for', 'sdes', 'driven', 'by', 'brownian', 'motion', 'along', 'anticipating', 'vectorfields', 'in', 'particular', 'this', 'unifies', 'many', 'results', 'on', 'anticipative', 'sdes']] | [-0.1323549933902441, 0.10746748061047508, -0.08296069949694457, 0.09756765719049919, -0.1314057669486987, -0.11745289812684742, 0.03255743425715407, 0.38025150842827943, -0.3524225819001504, -0.19640845285062122, 0.12986015459819517, -0.229834370212544, -0.2015029382934674, 0.22404276870923767, -0.16632494200960896, 0.06464365737751947, 0.10566080187729329, 0.015788818542939533, -0.020729954939745707, -0.18580080890267608, 0.3390950020573555, -0.04072879195435468, 0.2153800830347549, -0.028061910415465578, 0.24197415223157187, 0.026090188951598942, -0.029205987900666416, 0.0440048479022236, -0.17190407827956317, 0.05628152232651317, 0.20800266761990657, 0.05743992990502284, 0.2990493099803293, -0.4486352656156235, -0.19427222412489698, 0.10136203600548703, 0.0968234150431764, 0.08641317514104581, -0.060493659366930436, -0.29886363789336673, 0.0746074835064932, -0.10054650842083977, -0.201563532667132, -0.10310178630720448, -0.0007979583257911812, 0.09536431932292126, -0.3170662637150616, 0.1028144891788209, 0.1642723723855126, 0.039926460918483384, -0.09033884376355815, -0.06804929481426236, -0.010478401274651016, 0.03021982922261461, 0.07464844374458195, 0.013315170119012442, 0.1304379549270513, -0.11619215376179563, -0.16050885719089095, 0.31955804551925954, -0.1370372524690054, -0.32459041767394803, 0.1752349905874751, -0.14334459089750953, -0.13487437211934034, 0.14143490969895497, 0.11870478161550853, 0.14106386127548481, -0.2527089682578562, 0.1419868903873283, -0.025225675908353076, 0.06786700123798213, 0.07262558843769612, -0.027511643724293884, 0.10610866361821536, 0.13171983463476078, 0.16019431243537405, 0.08516072784764094, 0.005073154733917855, -0.21771817772281826, -0.38374005439221315, -0.16807732839615794, -0.13979668633311715, 0.13154504178537788, -0.10391516694686923, -0.18465419726258298, 0.25490687742248314, 0.17780452427121068, 0.1734554306390362, 0.09008739195729888, 0.2427947522235026, 0.23119919163755936, -0.04841387258210313, 0.08236891745136829, 0.18509011460738384, 0.18617332464195105, 0.14485656328653113, -0.13694479712071495, 0.0808566685706172, 0.12451598784723959] |
707.4547 | Bichromatically driven double well: Parametric perspective of the
control landscape | We numerically construct and study the control landscape of a
$(\omega,2\omega)$ bichromatically driven double well in the presence of strong
fields. The control landscape is obtained by correlating the overlap
intensities between the floquet states and an initial phase space coherent
state with the parametric motion of the quasienergies {\it i.e.,}
intensity-level velocity correlator. "Walls" of no control, robust under
variations of the relative phase between the fields, are seen in the control
landscape and associated with multilevel interactions involving chaotic floquet
states.
| nlin.CD physics.chem-ph | we numerically construct and study the control landscape of a omega2omega bichromatically driven double well in the presence of strong fields the control landscape is obtained by correlating the overlap intensities between the floquet states and an initial phase space coherent state with the parametric motion of the quasienergies it ie intensitylevel velocity correlator walls of no control robust under variations of the relative phase between the fields are seen in the control landscape and associated with multilevel interactions involving chaotic floquet states | [['we', 'numerically', 'construct', 'and', 'study', 'the', 'control', 'landscape', 'of', 'a', 'omega2omega', 'bichromatically', 'driven', 'double', 'well', 'in', 'the', 'presence', 'of', 'strong', 'fields', 'the', 'control', 'landscape', 'is', 'obtained', 'by', 'correlating', 'the', 'overlap', 'intensities', 'between', 'the', 'floquet', 'states', 'and', 'an', 'initial', 'phase', 'space', 'coherent', 'state', 'with', 'the', 'parametric', 'motion', 'of', 'the', 'quasienergies', 'it', 'ie', 'intensitylevel', 'velocity', 'correlator', 'walls', 'of', 'no', 'control', 'robust', 'under', 'variations', 'of', 'the', 'relative', 'phase', 'between', 'the', 'fields', 'are', 'seen', 'in', 'the', 'control', 'landscape', 'and', 'associated', 'with', 'multilevel', 'interactions', 'involving', 'chaotic', 'floquet', 'states']] | [-0.19512128257533398, 0.21991943921939974, -0.07856299204925052, 0.06068699405579714, 0.0247030648255221, -0.09687828224311333, 0.04622429936397367, 0.38129534445157864, -0.29061056734857765, -0.2795076535151499, 0.07326883854764718, -0.21852168796311428, -0.14025118934251823, 0.19693780060085217, -0.01689892346692476, 0.05184292844383091, 0.022426418184938773, -0.012066925239817398, -0.04651969931338255, -0.13795206566602447, 0.3425928122284481, -0.018270592494845028, 0.3061265026832499, -0.01846433361415842, 0.08686695520470782, 0.040219820118736385, 0.015848203880212654, 0.014846395411196438, -0.09519585150453012, 0.11461716768098995, 0.18901938235205484, 0.02151652174524781, 0.246107009512077, -0.41883284714436386, -0.19816608369214142, 0.1207671151382894, 0.11312466727537046, 0.12673707735702033, -0.05778115398886546, -0.35831556769042483, -0.020444392237994, -0.11317748883057659, -0.156841398830094, -0.10528897640306684, 0.002890889328427431, 0.058678858263259075, -0.2550592327876607, 0.10910890179845255, -0.003890424541878463, 0.0770137396686506, -0.10431978151929087, -0.01730975810233958, -0.09943191015456872, 0.14518792121443988, 0.020456954084404903, 0.025276493130637925, 0.13142921011781367, -0.18757233652286232, -0.15138710798445817, 0.32891417618361074, -0.0683468252125128, -0.1837253223241466, 0.19142864480410227, -0.1336634720039622, -0.03374005347013292, 0.16833625054668364, 0.1161591426878259, 0.0930191971952232, -0.1104513286022333, 0.08996024328105083, 0.04081672276143075, 0.17788793421463994, 0.04584208120046774, 0.06945460942352372, 0.21741151641600015, 0.11499973107785946, 0.10889003306581843, 0.1797941058715124, -0.1160317080460273, -0.20750010990333267, -0.2972127381547513, -0.08669017087355847, -0.15696394389563398, -0.00961319323651856, -0.04277221029911832, -0.20493710950789293, 0.45136884928158505, 0.09659848469536661, 0.2014872724667373, -0.01918533943286847, 0.25280978616963073, 0.16598174424001538, 0.010948491532628129, 0.04677163050566777, 0.2732114553701405, 0.16811956309929219, 0.08313437605776437, -0.31274827856502335, 0.02059644939400619, -0.007976725459007955] |
707.4548 | Comparison of the LUNA 3He(alpha,gamma)7Be activation results with
earlier measurements and model calculations | Recently, the LUNA collaboration has carried out a high precision measurement
on the 3He(alpha,gamma)7Be reaction cross section with both activation and
on-line gamma-detection methods at unprecedented low energies. In this paper
the results obtained with the activation method are summarized. The results are
compared with previous activation experiments and the zero energy extrapolated
astrophysical S factor is determined using different theoretical models.
| nucl-ex | recently the luna collaboration has carried out a high precision measurement on the 3healphagamma7be reaction cross section with both activation and online gammadetection methods at unprecedented low energies in this paper the results obtained with the activation method are summarized the results are compared with previous activation experiments and the zero energy extrapolated astrophysical s factor is determined using different theoretical models | [['recently', 'the', 'luna', 'collaboration', 'has', 'carried', 'out', 'a', 'high', 'precision', 'measurement', 'on', 'the', '3healphagamma7be', 'reaction', 'cross', 'section', 'with', 'both', 'activation', 'and', 'online', 'gammadetection', 'methods', 'at', 'unprecedented', 'low', 'energies', 'in', 'this', 'paper', 'the', 'results', 'obtained', 'with', 'the', 'activation', 'method', 'are', 'summarized', 'the', 'results', 'are', 'compared', 'with', 'previous', 'activation', 'experiments', 'and', 'the', 'zero', 'energy', 'extrapolated', 'astrophysical', 's', 'factor', 'is', 'determined', 'using', 'different', 'theoretical', 'models']] | [-0.02478336919190698, 0.1223047284073517, -0.0632701088702039, 0.026031178895567286, 0.019769069521123023, -0.11585878754859089, 0.045383629070396427, 0.39018259624965856, -0.19181107267828995, -0.35967786794864254, 0.04323247527573868, -0.34506327634463546, -0.05030517487740908, 0.25111219556200637, 0.05918774877476399, 0.127436990254238, 0.15135958610621633, 0.06656675607912609, -0.07352089567384759, -0.2513872673276995, 0.27426331972733875, 0.21016872187190858, 0.3100122071375124, 0.12607156886093196, 0.10118057562771146, -0.06024734524353484, -0.10349223587173419, 0.023233708116363307, -0.17744446343543832, 0.12712715965405594, 0.30253823655620493, 0.05602321649336668, 0.1842290267775782, -0.3893918270153589, -0.2184140511376203, 0.06335136660786926, 0.09117044306161706, 0.06871053970373067, -0.07690997523461758, -0.28720321648250347, 0.09658412647540451, -0.1752487446990658, -0.06484564118178897, -0.09409778946822177, -0.033209809308230386, 0.05076570713465087, -0.2552414823812051, 0.06699692167448582, -0.053539343552328034, 0.08432548924456121, -0.10832984971462703, -0.24454098820808481, -0.0026665859794641126, 0.089744091219055, 0.06675419858351472, 0.06538434312383064, 0.15495409330994378, -0.09550590803236013, -0.1390143682890129, 0.31075515266752146, -0.055880355434950256, -0.14401734289169296, 0.18013347073202404, -0.15359139915738926, -0.1528888652292004, 0.17263972713444076, 0.15190401198495118, 0.10395274573524833, -0.13146885915002862, 0.07342446690709635, 0.020633690417973232, 0.10494661046436331, 0.07187698068875881, -0.05636443706901103, 0.11578001721655248, 0.24206376750571806, -0.04358501014772986, 0.03807789781207188, -0.1389782604127817, -0.05966826300823786, -0.30499207710877796, -0.0562523576263033, -0.1376689545138449, 0.045106994461451395, -0.03552979061362853, 0.002863426234756337, 0.35584466200566195, 0.10008022474644125, 0.26247858530918106, 0.03591005826277322, 0.3193528453712581, 0.15468340034245467, 0.06435414304437696, 0.03844990934336894, 0.3118983493720899, 0.13532188506873294, 0.14664190782417283, -0.1972397509427955, 0.0665268165018356, 0.00013609116011467135] |
707.4549 | Central limit theorem and almost sure central limit theorem for the
product of some partial sums | In this paper, we give the central limit theorem and almost sure central
limit theorem for products of some partial sums of independent identically
distributed random variables.
| math.PR | in this paper we give the central limit theorem and almost sure central limit theorem for products of some partial sums of independent identically distributed random variables | [['in', 'this', 'paper', 'we', 'give', 'the', 'central', 'limit', 'theorem', 'and', 'almost', 'sure', 'central', 'limit', 'theorem', 'for', 'products', 'of', 'some', 'partial', 'sums', 'of', 'independent', 'identically', 'distributed', 'random', 'variables']] | [-0.19161707845826945, 0.12414528363970695, -0.10146711207926273, 0.023900326181858503, 0.053216570919310605, -0.07708444253162101, 0.15754909986302396, 0.29004238214757705, -0.28156853936336657, -0.15110004306943328, 0.19579963478759896, -0.2625504758346964, -0.06034302436401723, 0.16799650920761955, -0.16226417529914114, 0.05019983911403903, 0.06351004190811957, 0.06288390420377254, 0.0059528190608101866, -0.33578882614771527, 0.3316140187671408, -0.056339028808805675, 0.25809076124871216, 0.040913574673511366, 0.11386358230892155, 0.21250596392416843, -0.1341342076452242, -0.05096362558779893, -0.1163440431571669, 0.10355570767488745, 0.28950028080079293, 0.049189993449545, 0.2734118897329878, -0.39435614422998494, -0.03148066699159918, 0.23119256393639026, 0.19545699192073057, 0.023098863661289215, 0.023930828983860987, -0.20676424299125318, 0.11395033021216039, -0.18571482633275013, -0.23716181282092025, -0.0686447352722839, 0.028429927856281952, 0.12155454053922936, -0.30913886262310875, 0.16596676198834623, 0.26867537861000057, 0.04421186794664849, -0.027825204862488642, -0.1476037462276441, 0.09158240093125238, 0.13272707172910925, 0.09870706822861124, -0.04173836431086615, 0.1369878434645081, 0.0009165796089089579, -0.08829541319843244, 0.27361970203411246, -0.07045814183247448, -0.1804974693115111, 0.11011410821919088, -0.14963334564257552, -0.30926590385260405, 0.04361403561024754, 0.176426207439767, 0.14670829837106997, -0.21487313746992084, 0.15032677238384537, -0.15813206412174083, 0.08435751435657342, 0.15373407759600216, 0.13358850646074172, 0.19700354344590945, 0.02400797289037318, 0.15484404239665578, 0.15543591748509142, 0.05644767848705804, -0.11227119106937337, -0.37973339414155044, -0.1459691447240335, -0.1746804556912846, 0.1865826123566539, -0.2630309930240468, -0.26804704853781947, 0.2704606681579241, 0.1789638978532619, 0.13654515628392497, 0.17576591646367754, 0.2392009751940215, 0.1988940095115039, -0.05646322377853923, 0.10393473074805958, 0.1495551002196778, 0.33220496621948703, 0.10652476197315587, 0.045840310088048376, 0.012071003895942812, 0.13521687879606528] |
707.455 | The flow rate of granular materials through an orifice | The flow rate of grains through large orifices is known to be dependent on
its diameter to a 5/2 power law. This relationship has been checked for big
outlet sizes, whereas an empirical fitting parameter is needed to reproduce the
behavior for small openings.
In this work, we provide experimental data and numerical simulations covering
a wide span of outlet sizes, both in three and two dimensions. This allows us
to show that the laws that are usually employed are satisfactory only if a
small range of openings is considered. We propose a new law for the mass flow
rate of grains that correctly reproduces the data for all the orifice sizes,
including the behaviors for very large and very small outlet sizes.
| cond-mat.soft cond-mat.stat-mech | the flow rate of grains through large orifices is known to be dependent on its diameter to a 52 power law this relationship has been checked for big outlet sizes whereas an empirical fitting parameter is needed to reproduce the behavior for small openings in this work we provide experimental data and numerical simulations covering a wide span of outlet sizes both in three and two dimensions this allows us to show that the laws that are usually employed are satisfactory only if a small range of openings is considered we propose a new law for the mass flow rate of grains that correctly reproduces the data for all the orifice sizes including the behaviors for very large and very small outlet sizes | [['the', 'flow', 'rate', 'of', 'grains', 'through', 'large', 'orifices', 'is', 'known', 'to', 'be', 'dependent', 'on', 'its', 'diameter', 'to', 'a', '52', 'power', 'law', 'this', 'relationship', 'has', 'been', 'checked', 'for', 'big', 'outlet', 'sizes', 'whereas', 'an', 'empirical', 'fitting', 'parameter', 'is', 'needed', 'to', 'reproduce', 'the', 'behavior', 'for', 'small', 'openings', 'in', 'this', 'work', 'we', 'provide', 'experimental', 'data', 'and', 'numerical', 'simulations', 'covering', 'a', 'wide', 'span', 'of', 'outlet', 'sizes', 'both', 'in', 'three', 'and', 'two', 'dimensions', 'this', 'allows', 'us', 'to', 'show', 'that', 'the', 'laws', 'that', 'are', 'usually', 'employed', 'are', 'satisfactory', 'only', 'if', 'a', 'small', 'range', 'of', 'openings', 'is', 'considered', 'we', 'propose', 'a', 'new', 'law', 'for', 'the', 'mass', 'flow', 'rate', 'of', 'grains', 'that', 'correctly', 'reproduces', 'the', 'data', 'for', 'all', 'the', 'orifice', 'sizes', 'including', 'the', 'behaviors', 'for', 'very', 'large', 'and', 'very', 'small', 'outlet', 'sizes']] | [-0.0955485816672539, 0.12605341796006542, -0.09648701363069014, 0.04457335112752711, -0.057448745165701684, -0.12113513703253574, 0.019009365886165874, 0.3622278229871053, -0.23236781532490036, -0.33495151963296943, 0.12787194881868374, -0.2611523013905295, -0.06303858615315332, 0.24099428129450576, -0.061032482922622346, 0.07345576772070679, 0.0441635435218052, -0.035217488347126805, -0.009718035815313943, -0.20899517891637043, 0.28819699267425186, 0.04517606695795932, 0.27838150495322556, 0.09244491237431492, 0.0988815090244227, -0.0691032858141433, -0.0027408722439795975, 0.08849672599869772, -0.17729248173767465, 0.08378757929762568, 0.229312086470304, 0.074901602372936, 0.2391807931982647, -0.4048178240891576, -0.20535323769611313, 0.0780305339078366, 0.13890516072250447, 0.10003436825567538, -0.054009776798122355, -0.1797648868977842, 0.1414688085925167, -0.1742138353676149, -0.14946507142356982, -0.06964194952563299, 0.08565489710990067, 0.052561813910544763, -0.31113204967260844, 0.07746670893355598, 0.0046979570780252295, 0.037871939925158894, -0.05382444530988597, -0.09925580248085221, 0.0155244861063131, 0.21217333353588327, 0.07042187120106708, -0.055700222968466474, 0.1229307960219136, -0.10686697334815877, -0.01827694486061914, 0.3906790585961284, -0.01635094015003462, -0.17621666065803387, 0.2176678966034234, -0.1834373898213593, -0.10381669288773726, 0.17305291138165366, 0.1837654454487838, 0.10883856052591946, -0.14463985041332833, 0.02312333141955191, -0.08084637297665685, 0.21506367176127567, 0.05580177716153666, -0.029182001558412624, 0.18876373054595982, 0.20269815944044328, 0.04747696899301637, 0.13473368254281975, -0.14263576584701554, -0.11607517235783663, -0.2952407962279167, -0.12533920400632106, -0.19846908651326398, 0.024020353812966647, -0.14309194974179618, -0.14333875364684537, 0.3620600190346803, 0.13911734600892153, 0.2795066013402207, 0.10726145820737612, 0.27930131012467835, 0.07199263751385658, 0.13384995763606536, 0.08828378582706417, 0.24542695813910748, 0.07077356252811728, 0.1281281867920141, -0.20443863464458809, 0.08719713078448321, -0.024857201352261188] |
707.4551 | Preon Model and Family Replicated E_6 Unification | Previously we suggested a new preon model of composite quark-leptons and
bosons with the 'flipped' $E_6\times \widetilde{E_6}$ gauge symmetry group. We
assumed that preons are dyons having both hyper-electric $g$ and hyper-magnetic
$\tilde g$ charges, and these preons-dyons are confined by hyper-magnetic
strings which are an ${\bf N}=1$ supersymmetric non-Abelian flux tubes created
by the condensation of spreons near the Planck scale. In the present paper we
show that the existence of the three types of strings with tensions $T_k=k T_0$
$(k = 1,2,3)$ producing three (and only three) generations of composite
quark-leptons, also provides three generations of composite gauge bosons
('hyper-gluons') and, as a consequence, predicts the family replicated
$[E_6]^3$ unification at the scale $\sim 10^{17}$ GeV. This group of
unification has the possibility of breaking to the group of symmetry: $
[SU(3)_C]^3\times [SU(2)_L]^3\times [U(1)_Y]^3 \times [U(1)_{(B-L)}]^3$ which
undergoes the breakdown to the Standard Model at lower energies. Some
predictive advantages of the family replicated gauge groups of symmetry are
briefly discussed.
| hep-ph hep-th | previously we suggested a new preon model of composite quarkleptons and bosons with the flipped e_6times widetildee_6 gauge symmetry group we assumed that preons are dyons having both hyperelectric g and hypermagnetic tilde g charges and these preonsdyons are confined by hypermagnetic strings which are an bf n1 supersymmetric nonabelian flux tubes created by the condensation of spreons near the planck scale in the present paper we show that the existence of the three types of strings with tensions t_kk t_0 k 123 producing three and only three generations of composite quarkleptons also provides three generations of composite gauge bosons hypergluons and as a consequence predicts the family replicated e_63 unification at the scale sim 1017 gev this group of unification has the possibility of breaking to the group of symmetry su3_c3times su2_l3times u1_y3 times u1_bl3 which undergoes the breakdown to the standard model at lower energies some predictive advantages of the family replicated gauge groups of symmetry are briefly discussed | [['previously', 'we', 'suggested', 'a', 'new', 'preon', 'model', 'of', 'composite', 'quarkleptons', 'and', 'bosons', 'with', 'the', 'flipped', 'e_6times', 'widetildee_6', 'gauge', 'symmetry', 'group', 'we', 'assumed', 'that', 'preons', 'are', 'dyons', 'having', 'both', 'hyperelectric', 'g', 'and', 'hypermagnetic', 'tilde', 'g', 'charges', 'and', 'these', 'preonsdyons', 'are', 'confined', 'by', 'hypermagnetic', 'strings', 'which', 'are', 'an', 'bf', 'n1', 'supersymmetric', 'nonabelian', 'flux', 'tubes', 'created', 'by', 'the', 'condensation', 'of', 'spreons', 'near', 'the', 'planck', 'scale', 'in', 'the', 'present', 'paper', 'we', 'show', 'that', 'the', 'existence', 'of', 'the', 'three', 'types', 'of', 'strings', 'with', 'tensions', 't_kk', 't_0', 'k', '123', 'producing', 'three', 'and', 'only', 'three', 'generations', 'of', 'composite', 'quarkleptons', 'also', 'provides', 'three', 'generations', 'of', 'composite', 'gauge', 'bosons', 'hypergluons', 'and', 'as', 'a', 'consequence', 'predicts', 'the', 'family', 'replicated', 'e_63', 'unification', 'at', 'the', 'scale', 'sim', '1017', 'gev', 'this', 'group', 'of', 'unification', 'has', 'the', 'possibility', 'of', 'breaking', 'to', 'the', 'group', 'of', 'symmetry', 'su3_c3times', 'su2_l3times', 'u1_y3', 'times', 'u1_bl3', 'which', 'undergoes', 'the', 'breakdown', 'to', 'the', 'standard', 'model', 'at', 'lower', 'energies', 'some', 'predictive', 'advantages', 'of', 'the', 'family', 'replicated', 'gauge', 'groups', 'of', 'symmetry', 'are', 'briefly', 'discussed']] | [-0.1733324008695538, 0.2872874147291607, -0.022612004479989897, 0.07641123026667249, -0.02835236486120551, -0.14681034408254073, 0.01139095237286871, 0.345166740208572, -0.18841409543529153, -0.3465949619201079, 0.06834607160000779, -0.25625307902425914, -0.053274421732769243, 0.08388000468303468, 0.024119217313972173, -0.023386099649702802, -0.050843353771294154, 0.03719838655072879, -0.07354405988159961, -0.2703329884489767, 0.2871627323512061, -0.015029565351284748, 0.2661205352363146, 0.026753774019311262, 0.09300215129917061, -0.041869607491784325, 0.01842666772388993, -0.03994755263689881, -0.10077562917594941, 0.08670695073099113, 0.1545490572819474, 0.04149125224444254, 0.14268080276981898, -0.39912613126558855, -0.1815252545718834, 0.13216211968192867, 0.15996895434359223, 0.07592649444834226, -0.07661502929503293, -0.28987141388158005, 0.08957452099965094, -0.18868413279396087, -0.15175344897175413, -0.03992701622846177, 0.007184986347709995, -0.066522246841463, -0.252277176802844, 0.09232812679317183, 0.011177440435668222, 0.056008605249956545, -0.01280258359993181, -0.13445228934014106, -0.07913969049011083, 0.02708774629913368, 0.1499105279099537, 0.03346045418745942, 0.12111774483905631, -0.15256634946901876, -0.15298171914821745, 0.4238669693255432, -0.07564340071034392, -0.13697303905230918, 0.1856957863486719, -0.11999330238790672, -0.210276223956516, 0.11631558060621709, 0.09748405975698998, 0.083956154385959, -0.1174658463074783, 0.14746428799193073, -0.08489721022497594, 0.13868709869022341, 0.06569483834684041, 0.04072829998244594, 0.26722398465438413, 0.1434678466339273, 0.008715644658366644, 0.09256570584146805, -0.04488987868708909, -0.06676104918024899, -0.41833644103429285, -0.12857577762128236, -0.11099751999151278, 0.06762364924294886, -0.09317245237706945, -0.1058189156632627, 0.41745112823578073, 0.1114309366999401, 0.1949506923997641, 0.0674681492603317, 0.16067875921574049, 0.05286190851387611, 0.10558289296778978, 0.0605921572549086, 0.2178595155347032, 0.12395334877134635, 0.02294754684945337, -0.20174347981658391, -0.10916589312498866, 0.12581045717591408] |
707.4552 | Wormhole and C-field: Revisited | Recently, Rahaman et al [ Nuovo.Cim 119B, 1115(2004)] have shown that the
static spherically symmetric solutions in presence of C-field give rise to
wormhole geometry. We highlight some of the characteristics of this wormhole,
which have not been considered in the previous study.
| gr-qc | recently rahaman et al nuovocim 119b 11152004 have shown that the static spherically symmetric solutions in presence of cfield give rise to wormhole geometry we highlight some of the characteristics of this wormhole which have not been considered in the previous study | [['recently', 'rahaman', 'et', 'al', 'nuovocim', '119b', '11152004', 'have', 'shown', 'that', 'the', 'static', 'spherically', 'symmetric', 'solutions', 'in', 'presence', 'of', 'cfield', 'give', 'rise', 'to', 'wormhole', 'geometry', 'we', 'highlight', 'some', 'of', 'the', 'characteristics', 'of', 'this', 'wormhole', 'which', 'have', 'not', 'been', 'considered', 'in', 'the', 'previous', 'study']] | [-0.13406826402597988, -0.013176523889295565, -0.10932688292068167, 0.0073812645830166265, -0.09513462939036962, -0.12573880917177752, -0.08357091816381002, 0.3496672080304378, -0.11256878109027942, -0.3269713271695834, 0.06564781801082575, -0.23103245003865316, -0.21046078137050456, 0.12902694988327149, -0.1129606843758852, 0.020878993285199005, -0.04664803888553228, -0.007551319610614043, -0.05568349945884293, -0.30448109766420645, 0.3701296760103641, 0.08829684830151308, 0.30341714897598976, 0.06899981706952438, 0.02154992363200738, -0.059623974333636656, -0.05459067395004707, 0.10948791870704064, -0.20680671529818284, 0.008651612230982536, 0.2092055322793432, 0.11481376308112, 0.20305846200491756, -0.46269190999177784, -0.3116073886481806, 0.13167716635582158, 0.15431973992440945, 0.198559412598395, -0.1469607202288432, -0.3289386412749688, 0.1194584497059576, -0.25095432127515477, -0.15219665099030885, -0.07087863905307575, 0.12441913057447006, 0.06670426526584496, -0.14992733124213722, 0.03366868431942585, 0.09954469297558834, -0.037672617186147436, -0.0992168953212408, -0.0949091723260398, 0.0033087819002759764, 0.046856119022824064, 0.09812653585313222, -0.004157137454081423, 0.02395309328746337, -0.08163307530160707, -0.1230086479574824, 0.30864661855575365, -0.0016459696090374237, -0.25077243292560947, 0.17312252287490246, -0.15396754460361523, -0.12761308482060066, 0.1017417907416343, 0.14573523248187625, 0.1792063079535579, -0.17406415067708644, 0.17837435147987726, -0.13691522258644304, 0.09527855971156476, 0.15194707256383622, 0.054021921617766984, 0.22928600065792218, 0.05974914833234671, 0.031458266210766174, 0.17808150208722323, -0.0076753948516666125, -0.1503284019492686, -0.2728727475907176, -0.11298865484646879, -0.10612496859035812, 0.07293418112534802, -0.025272809446622163, -0.21881249618868773, 0.385626824811483, 0.14614375406064284, 0.18970341264055327, -0.055994310308820926, 0.18977941830570882, 0.0551623005228929, 0.02701113924670678, 0.12600685820843166, 0.39352018872458033, 0.14351797075225756, 0.1678860779159153, -0.19999292929274723, 0.032664785316834845, 0.06157967844643654] |
707.4553 | Stationary distributions of a model of sympatric speciation | This paper deals with a model of sympatric speciation, that is, speciation in
the absence of geographical separation, originally proposed by U. Dieckmann and
M. Doebeli in 1999. We modify their original model to obtain a Fleming--Viot
type model and study its stationary distribution. We show that speciation may
occur, that is, the stationary distribution puts most of the mass on a
configuration that does not concentrate on the phenotype with maximum carrying
capacity, if competition between phenotypes is intense enough. Conversely, if
competition between phenotypes is not intense, then speciation will not occur
and most of the population will have the phenotype with the highest carrying
capacity. The length of time it takes speciation to occur also has a delicate
dependence on the mutation parameter, and the exact shape of the carrying
capacity function and the competition kernel.
| math.PR | this paper deals with a model of sympatric speciation that is speciation in the absence of geographical separation originally proposed by u dieckmann and m doebeli in 1999 we modify their original model to obtain a flemingviot type model and study its stationary distribution we show that speciation may occur that is the stationary distribution puts most of the mass on a configuration that does not concentrate on the phenotype with maximum carrying capacity if competition between phenotypes is intense enough conversely if competition between phenotypes is not intense then speciation will not occur and most of the population will have the phenotype with the highest carrying capacity the length of time it takes speciation to occur also has a delicate dependence on the mutation parameter and the exact shape of the carrying capacity function and the competition kernel | [['this', 'paper', 'deals', 'with', 'a', 'model', 'of', 'sympatric', 'speciation', 'that', 'is', 'speciation', 'in', 'the', 'absence', 'of', 'geographical', 'separation', 'originally', 'proposed', 'by', 'u', 'dieckmann', 'and', 'm', 'doebeli', 'in', '1999', 'we', 'modify', 'their', 'original', 'model', 'to', 'obtain', 'a', 'flemingviot', 'type', 'model', 'and', 'study', 'its', 'stationary', 'distribution', 'we', 'show', 'that', 'speciation', 'may', 'occur', 'that', 'is', 'the', 'stationary', 'distribution', 'puts', 'most', 'of', 'the', 'mass', 'on', 'a', 'configuration', 'that', 'does', 'not', 'concentrate', 'on', 'the', 'phenotype', 'with', 'maximum', 'carrying', 'capacity', 'if', 'competition', 'between', 'phenotypes', 'is', 'intense', 'enough', 'conversely', 'if', 'competition', 'between', 'phenotypes', 'is', 'not', 'intense', 'then', 'speciation', 'will', 'not', 'occur', 'and', 'most', 'of', 'the', 'population', 'will', 'have', 'the', 'phenotype', 'with', 'the', 'highest', 'carrying', 'capacity', 'the', 'length', 'of', 'time', 'it', 'takes', 'speciation', 'to', 'occur', 'also', 'has', 'a', 'delicate', 'dependence', 'on', 'the', 'mutation', 'parameter', 'and', 'the', 'exact', 'shape', 'of', 'the', 'carrying', 'capacity', 'function', 'and', 'the', 'competition', 'kernel']] | [-0.1155853361217645, 0.1658062058344592, -0.08336551606410393, 0.08735571098326957, -0.0714487911059256, -0.15376362901684032, 0.10637283224330359, 0.37119907522778006, -0.24128055629442807, -0.24551227308782567, 0.07710353622763642, -0.26869098928478297, -0.163671072631952, 0.1229338062056986, -0.08930590829003031, -0.06327877073237727, 0.07646085415375385, 0.050825091527543796, 0.006998955197360394, -0.24410993318722657, 0.3220149643275628, 0.0768539366876557, 0.2870686619090474, 0.05717394695138001, 0.10912235507768762, -0.008115662251646718, -0.014845715716725936, -0.0023138711949552064, -0.14411784893511045, 0.07798956314366937, 0.19697713695235386, 0.1879751163765951, 0.28813800981513016, -0.4102114985023972, -0.2314160810647546, 0.19721840002512844, 0.13296154772193192, 0.11016878657689638, -0.028293430745936453, -0.20058478521740566, 0.06275544132711026, -0.15249328554546746, -0.08319523268341882, -0.008078663902234858, 0.0661718704989248, 0.04790961999194628, -0.271280033677055, 0.12209341626586291, 0.08600889496083786, 0.0493568517267704, -0.06298852730015578, -0.09011239480281616, -0.09462153866214093, 0.15724139584799426, 0.07999517350291058, 0.02049014552659525, 0.10453711227126365, -0.13086427734777276, -0.07546756143790473, 0.3324287316700729, -0.03779292259582855, -0.21037660095922267, 0.229665475346855, -0.22036022417260892, -0.12020087035468024, 0.12221084742460155, 0.1488254754770085, 0.07874819426967279, -0.15678614589392487, 0.08024264313747943, -0.03612614892776648, 0.1657413435525458, 0.056731378962115865, -0.004417498616406518, 0.21313691700394027, 0.19886538252892164, 0.09780635937443342, 0.11328977588428198, -0.11791813944765522, -0.14397457628137003, -0.2527701649372976, -0.13334113269293152, -0.15729298127176117, 0.07333553523149419, -0.07506955991085724, -0.16277019199609322, 0.3730302649842453, 0.1368066993870018, 0.21162178903736556, 0.066397609110976, 0.212857438087375, 0.10515878556880855, 0.06686579874830566, 0.049325497304327295, 0.18343777088856283, 0.09277537257842257, 0.0860582568451599, -0.2600950896332081, 0.1877325071484177, 0.04509758022035996] |
707.4554 | Exact Solutions and the Attractor Mechanism in Non-BPS Black Holes | The attractor mechanism for the four-dimensional ${\cal N}=2$ supergravity
black hole solution is analyzed in the case of the D0-D4 system. Our analyses
are based on newly derived exact solutions, which exhibit explicitly the
attractor mechanism for extremal non-BPS black holes. Our solutions account for
the moduli as general complex fields, while in almost all non-BPS solutions
obtained previously, the moduli fields are restricted to be purely imaginary.
It is also pointed out that our moduli solutions contain an extra parameter
that is not contained in solutions obtained by replacing the charges in the
double extremal moduli solutions by the corresponding harmonic functions.
| hep-th | the attractor mechanism for the fourdimensional cal n2 supergravity black hole solution is analyzed in the case of the d0d4 system our analyses are based on newly derived exact solutions which exhibit explicitly the attractor mechanism for extremal nonbps black holes our solutions account for the moduli as general complex fields while in almost all nonbps solutions obtained previously the moduli fields are restricted to be purely imaginary it is also pointed out that our moduli solutions contain an extra parameter that is not contained in solutions obtained by replacing the charges in the double extremal moduli solutions by the corresponding harmonic functions | [['the', 'attractor', 'mechanism', 'for', 'the', 'fourdimensional', 'cal', 'n2', 'supergravity', 'black', 'hole', 'solution', 'is', 'analyzed', 'in', 'the', 'case', 'of', 'the', 'd0d4', 'system', 'our', 'analyses', 'are', 'based', 'on', 'newly', 'derived', 'exact', 'solutions', 'which', 'exhibit', 'explicitly', 'the', 'attractor', 'mechanism', 'for', 'extremal', 'nonbps', 'black', 'holes', 'our', 'solutions', 'account', 'for', 'the', 'moduli', 'as', 'general', 'complex', 'fields', 'while', 'in', 'almost', 'all', 'nonbps', 'solutions', 'obtained', 'previously', 'the', 'moduli', 'fields', 'are', 'restricted', 'to', 'be', 'purely', 'imaginary', 'it', 'is', 'also', 'pointed', 'out', 'that', 'our', 'moduli', 'solutions', 'contain', 'an', 'extra', 'parameter', 'that', 'is', 'not', 'contained', 'in', 'solutions', 'obtained', 'by', 'replacing', 'the', 'charges', 'in', 'the', 'double', 'extremal', 'moduli', 'solutions', 'by', 'the', 'corresponding', 'harmonic', 'functions']] | [-0.1531801738604469, 0.08837267961502822, -0.0677324978688967, 0.1260956469459857, -0.061359308406855294, -0.14642307085428133, 0.007806883754154432, 0.2719248710064561, -0.1806690272088479, -0.21758014052310615, 0.15025340839858772, -0.3180729757307224, -0.1718773254310911, 0.2009030382818027, -0.03332029620312082, 0.06277017302481114, 0.018484858251221984, 0.031164532335185745, -0.01942373154395558, -0.29642704104805745, 0.386086323813906, -0.002915761117072939, 0.25983563974246526, -0.01667452286431584, 0.08486589990687349, -0.04271595726282453, 0.021727297951815452, 0.04075944262728529, -0.14176384409851717, 0.0846038720315069, 0.2571869912959671, 0.0940195478960076, 0.1066265310368781, -0.42363409583628614, -0.23660384834680742, 0.14427367040381125, 0.19414285019727298, 0.13394408367542568, -0.05863806071523939, -0.25265779792674753, 0.11411796137238446, -0.13578557329550747, -0.19452248224581692, -0.13636117226905325, 0.07991006639017498, 0.004147501539741869, -0.21650650356308493, 0.06916435879798724, 0.04705343877634449, -0.03649645060915681, -0.1921084604985578, -0.08332904402247983, -0.11346269187119618, 0.07249252365685059, 0.1378738561360328, 0.03120427172703361, 0.08667768019215358, -0.14434041943654274, -0.11037840737647024, 0.32106314790751606, -0.04059186224934184, -0.2854265969933815, 0.10988536583105989, -0.14453801231513036, -0.11652949007083345, 0.15781053888964133, 0.06702911905329494, 0.2502391118809436, -0.1297409436801105, 0.22402285233827182, -0.054345150613813724, 0.14711601696727636, 0.11305399569999246, 0.039178258769363344, 0.25310847811791953, 0.06719440150354962, 0.042263785290681005, 0.16758084060167622, 0.04533040745283287, -0.17330445909818398, -0.37750181072906963, -0.10674899985032717, -0.11580619441223268, 0.11049590942699086, -0.1863209006457942, -0.20067620941085143, 0.3696976451528738, 0.061259834701647455, 0.19783749054321675, 0.034555313350334405, 0.1898952243796019, 0.11408784216749075, 0.08327043309663106, 0.08474787322406485, 0.34610030060471264, 0.09236347582417279, 0.09216295875545627, -0.19902792001409836, -0.06564053265124704, 0.19388878812281035] |
707.4555 | Mechanical properties of Pt monatomic chains | The mechanical properties of platinum monatomic chains were investigated by
simultaneous measurement of an effective stiffness and the conductance using
our newly developed mechanically controllable break junction (MCBJ) technique
with a tuning fork as a force sensor. When stretching a monatomic contact
(two-atom chain), the stiffness and conductance increases at the early stage of
stretching and then decreases just before breaking, which is attributed to a
transition of the chain configuration and bond weakening. A statistical
analysis was made to investigate the mechanical properties of monatomic chains.
The average stiffness shows minima at the peak positions of the
length-histogram. From this result we conclude that the peaks in the
length-histogram are a measure of the number of atoms in the chains, and that
the chains break from a strained state. Additionally, we find that the smaller
the initial stiffness of the chain is, the longer the chain becomes. This shows
that softer chains can be stretched longer.
| cond-mat.mes-hall | the mechanical properties of platinum monatomic chains were investigated by simultaneous measurement of an effective stiffness and the conductance using our newly developed mechanically controllable break junction mcbj technique with a tuning fork as a force sensor when stretching a monatomic contact twoatom chain the stiffness and conductance increases at the early stage of stretching and then decreases just before breaking which is attributed to a transition of the chain configuration and bond weakening a statistical analysis was made to investigate the mechanical properties of monatomic chains the average stiffness shows minima at the peak positions of the lengthhistogram from this result we conclude that the peaks in the lengthhistogram are a measure of the number of atoms in the chains and that the chains break from a strained state additionally we find that the smaller the initial stiffness of the chain is the longer the chain becomes this shows that softer chains can be stretched longer | [['the', 'mechanical', 'properties', 'of', 'platinum', 'monatomic', 'chains', 'were', 'investigated', 'by', 'simultaneous', 'measurement', 'of', 'an', 'effective', 'stiffness', 'and', 'the', 'conductance', 'using', 'our', 'newly', 'developed', 'mechanically', 'controllable', 'break', 'junction', 'mcbj', 'technique', 'with', 'a', 'tuning', 'fork', 'as', 'a', 'force', 'sensor', 'when', 'stretching', 'a', 'monatomic', 'contact', 'twoatom', 'chain', 'the', 'stiffness', 'and', 'conductance', 'increases', 'at', 'the', 'early', 'stage', 'of', 'stretching', 'and', 'then', 'decreases', 'just', 'before', 'breaking', 'which', 'is', 'attributed', 'to', 'a', 'transition', 'of', 'the', 'chain', 'configuration', 'and', 'bond', 'weakening', 'a', 'statistical', 'analysis', 'was', 'made', 'to', 'investigate', 'the', 'mechanical', 'properties', 'of', 'monatomic', 'chains', 'the', 'average', 'stiffness', 'shows', 'minima', 'at', 'the', 'peak', 'positions', 'of', 'the', 'lengthhistogram', 'from', 'this', 'result', 'we', 'conclude', 'that', 'the', 'peaks', 'in', 'the', 'lengthhistogram', 'are', 'a', 'measure', 'of', 'the', 'number', 'of', 'atoms', 'in', 'the', 'chains', 'and', 'that', 'the', 'chains', 'break', 'from', 'a', 'strained', 'state', 'additionally', 'we', 'find', 'that', 'the', 'smaller', 'the', 'initial', 'stiffness', 'of', 'the', 'chain', 'is', 'the', 'longer', 'the', 'chain', 'becomes', 'this', 'shows', 'that', 'softer', 'chains', 'can', 'be', 'stretched', 'longer']] | [-0.1607949547469616, 0.20590854098226108, -0.07755201332451354, -0.01472851520464305, 0.005737501490981348, -0.1703853829403318, 0.06118402709553559, 0.3977952470221827, -0.2956795200375059, -0.27591380219185546, 0.07978807231110911, -0.28754730649562854, -0.08050390295684337, 0.139632884977806, 0.05390906260018387, 0.01115155145826359, 0.07938406119093058, 0.024911885342049984, -0.08331950945298999, -0.15538042474973707, 0.23161142822955885, 0.10915786848673897, 0.32192386334701895, 0.05730719973122881, 0.05254158848040407, 0.028781940788030626, 0.08621684277370091, 0.03210860495004923, -0.16708446669996896, 0.08378541013822072, 0.16808449948476928, -0.03679756100079225, 0.21585785890779188, -0.44576308131217957, -0.19308242544291482, 0.06973519901925278, 0.13746718291133161, 0.17808519396855826, 0.028952719475473128, -0.25541150235841353, 0.045017218541714456, -0.16449466006409738, -0.14182366210997344, -0.022628188382593856, 0.036131149462814774, 0.05942849445629925, -0.20200014232147123, 0.09737420046548059, 0.08450374747006853, 0.08381037526733932, -0.041895057242964544, -0.08880421974087856, -0.07974768613705471, 0.08974672637883604, 0.06102036035529548, -0.01096926290662058, 0.2157765431599992, -0.0829466738617949, -0.05122406559906179, 0.34138418344720717, -0.07220578423490928, -0.09822581578046083, 0.17441289100435473, -0.09902689686766075, -0.11843009231285373, 0.1695314900288659, 0.06946501092564675, 0.0840066041226589, -0.13146202212336638, 0.016104396436769034, 0.03686325895569978, 0.22370252841182292, 0.07791384319744764, -0.030420777799126, 0.2137219314853991, 0.1947731940391203, 0.07768011465668678, 0.23496169467651917, -0.11803271098122481, -0.09153670026890694, -0.24188982214658492, -0.18666683953375585, -0.19536857525667836, 0.05161647591063933, -0.07660491434930478, -0.17992614950504035, 0.3940740101520092, 0.09625900292756401, 0.2288300823630585, 0.04828620429916848, 0.23998557270895088, 0.11216577014945928, 0.09660562309962246, 0.003548020590096712, 0.28202381457292264, 0.15741837760433555, 0.0753439278266723, -0.2743327590276397, 0.09400795791598578, 0.006967767388109238] |
707.4556 | Photometric monitoring of the blazar 3C 345 for the period 1996 - 2006 | We present the results of the blazar 3C 345 monitoring in Johnson-Cousins
BVRI bands for the period 1996 - 2006. We have collected 29 V and 43 R data
points for this period; the BI light curves contain a few measurements only.
The accuracy of our photometry is not better than 0.03 mag in the VR bands. The
total amplitude of the variability obtained from our data is 2.06 mag in the V
band and 2.25 mag in the R one. 3C 345 showed periods of flaring activity
during 1998/99 and 2001: a maximum of the blazar brightness was detected in
2001 February - 15.345 mag in the V band and 14.944 mag in the R one. We
confirm that during brighter stages 3C 345 becomes redder; for higher fluxes
the colour index seems to be less dependent on the magnitude. The intra-night
monitoring of 3C 345 in three consecutive nights in 2001 August revealed no
significant intra-night variability; 3C 345 did not show evident flux changes
over timescales of weeks around the period of the intra-night monitoring. This
result supports the existing facts that intra-night variability is correlated
with rapid flux changes rather than with specific flux levels.
| astro-ph | we present the results of the blazar 3c 345 monitoring in johnsoncousins bvri bands for the period 1996 2006 we have collected 29 v and 43 r data points for this period the bi light curves contain a few measurements only the accuracy of our photometry is not better than 003 mag in the vr bands the total amplitude of the variability obtained from our data is 206 mag in the v band and 225 mag in the r one 3c 345 showed periods of flaring activity during 199899 and 2001 a maximum of the blazar brightness was detected in 2001 february 15345 mag in the v band and 14944 mag in the r one we confirm that during brighter stages 3c 345 becomes redder for higher fluxes the colour index seems to be less dependent on the magnitude the intranight monitoring of 3c 345 in three consecutive nights in 2001 august revealed no significant intranight variability 3c 345 did not show evident flux changes over timescales of weeks around the period of the intranight monitoring this result supports the existing facts that intranight variability is correlated with rapid flux changes rather than with specific flux levels | [['we', 'present', 'the', 'results', 'of', 'the', 'blazar', '3c', '345', 'monitoring', 'in', 'johnsoncousins', 'bvri', 'bands', 'for', 'the', 'period', '1996', '2006', 'we', 'have', 'collected', '29', 'v', 'and', '43', 'r', 'data', 'points', 'for', 'this', 'period', 'the', 'bi', 'light', 'curves', 'contain', 'a', 'few', 'measurements', 'only', 'the', 'accuracy', 'of', 'our', 'photometry', 'is', 'not', 'better', 'than', '003', 'mag', 'in', 'the', 'vr', 'bands', 'the', 'total', 'amplitude', 'of', 'the', 'variability', 'obtained', 'from', 'our', 'data', 'is', '206', 'mag', 'in', 'the', 'v', 'band', 'and', '225', 'mag', 'in', 'the', 'r', 'one', '3c', '345', 'showed', 'periods', 'of', 'flaring', 'activity', 'during', '199899', 'and', '2001', 'a', 'maximum', 'of', 'the', 'blazar', 'brightness', 'was', 'detected', 'in', '2001', 'february', '15345', 'mag', 'in', 'the', 'v', 'band', 'and', '14944', 'mag', 'in', 'the', 'r', 'one', 'we', 'confirm', 'that', 'during', 'brighter', 'stages', '3c', '345', 'becomes', 'redder', 'for', 'higher', 'fluxes', 'the', 'colour', 'index', 'seems', 'to', 'be', 'less', 'dependent', 'on', 'the', 'magnitude', 'the', 'intranight', 'monitoring', 'of', '3c', '345', 'in', 'three', 'consecutive', 'nights', 'in', '2001', 'august', 'revealed', 'no', 'significant', 'intranight', 'variability', '3c', '345', 'did', 'not', 'show', 'evident', 'flux', 'changes', 'over', 'timescales', 'of', 'weeks', 'around', 'the', 'period', 'of', 'the', 'intranight', 'monitoring', 'this', 'result', 'supports', 'the', 'existing', 'facts', 'that', 'intranight', 'variability', 'is', 'correlated', 'with', 'rapid', 'flux', 'changes', 'rather', 'than', 'with', 'specific', 'flux', 'levels']] | [-0.09435344269881264, 0.10516609419973041, -0.07817817386239767, 0.0513336005477378, -0.0536775292446598, -0.1132050056488086, 0.10149288304532185, 0.4909464062501987, -0.1280057284819822, -0.4041095877448336, 0.10597895946867095, -0.31798962328227787, -0.045736834176260836, 0.2200922553988699, -0.13786938950801508, -0.07038177020179155, 0.11976412985808192, -0.09618807441722124, -0.042588797888646904, -0.3098088229672076, 0.14876249076750797, 0.03586451349159082, 0.23535935012146067, -0.018151589127209707, 0.01904740418570164, -0.008604872163432913, -0.11896775854879824, -0.08473622555522105, -0.08691189077672345, 0.02294781896209595, 0.22216920307240426, 0.05272861502539271, 0.2138791804969048, -0.31287609215778034, -0.20582017698325217, 0.07677368637538538, 0.07680858796647487, -0.04223771848930762, 0.0786787561672286, -0.25344464858659566, 0.03390622282018646, -0.13820898712445528, -0.1455429462584643, 0.1117060191057718, 0.20148445104893584, -0.04063302068672597, -0.18774814195930958, 0.1707986502167888, 0.0034334210347599136, 0.21138806325526766, -0.16691489069340512, -0.11868045569325869, -0.11177562128609562, 0.07019581457522388, 0.06703494124424954, 0.11483675321468557, 0.06867654836760499, -0.05637639595959813, -0.11780472610814449, 0.36524999529147184, -0.08102381658122446, 0.0858280326371105, 0.15174133841139384, -0.20319187679829506, -0.21167832247865123, 0.2182755407387725, 0.1318040604918049, 0.11302784107124003, -0.1158670878634812, -0.024314187184119453, 0.0017159965904190754, 0.2827925592469863, 0.06061892853811001, 0.050510159022031494, 0.23055919459901558, 0.10353355112109476, 0.016051271075430588, 0.074335259396153, -0.3191142353623246, 0.025492358481129393, -0.2791215128575762, -0.0634286728520424, -0.13564661943879075, 0.10574089157027909, -0.14349616587233657, -0.08528726882516191, 0.49331212626435816, 0.08728936646881406, 0.19262706745798008, 0.010033681594695035, 0.21524115295555346, 0.10238116347523502, 0.08094191282490591, 0.18814601097494746, 0.3820768654776307, 0.08130805764872677, 0.18692822851754057, -0.17137042950862685, 0.05244707080941552, -0.037155037644343115] |
707.4557 | Majorana neutrino. Is double neutrinoless beta decay possible in the
framework of the weak interactions? How to prove that neutrino is Majorana
particle | Usually it is supposed that Majorana neutrino produced in the superposition
state $\chi_L = \nu_L + (\nu_L)^c$ and then follows the neutrinoless double
beta decay. But since weak interactions are chiral invariant then the neutrino
at production has definite helicity (i.e., $\nu_L$ and $(\nu_L)^c$ neutrinos
are separately produced and then neutrino is not in the superposition state).
This helicity cannot change after production without any external interactions.
Thus we see that for unsuitable helicity the neutrinoless double $\beta$ decay
is not possible even if neutrino is a Majorana particle. Also transition of
Majorana neutrino into antineutrino at their oscillations is forbidden since
helicity in vacuum holds. Then only possibility to prove that neutrino is a
Dirac but not Majorana particle is detection transition of $\nu_L$ neutrino
into (sterile) antineutrino $\bar\nu_R$ (i.e., $\nu_L \to \bar\nu_R$) at
neutrino oscillations. Transition Majora neutrino $\nu_L$ into $(\nu_R)^c$
(i.e., $\nu_L \to (\nu_R)^c$) at oscillations is unobserved since it is
supposed that mass of $(\nu_R)^c$ is very big.
| hep-ph | usually it is supposed that majorana neutrino produced in the superposition state chi_l nu_l nu_lc and then follows the neutrinoless double beta decay but since weak interactions are chiral invariant then the neutrino at production has definite helicity ie nu_l and nu_lc neutrinos are separately produced and then neutrino is not in the superposition state this helicity cannot change after production without any external interactions thus we see that for unsuitable helicity the neutrinoless double beta decay is not possible even if neutrino is a majorana particle also transition of majorana neutrino into antineutrino at their oscillations is forbidden since helicity in vacuum holds then only possibility to prove that neutrino is a dirac but not majorana particle is detection transition of nu_l neutrino into sterile antineutrino barnu_r ie nu_l to barnu_r at neutrino oscillations transition majora neutrino nu_l into nu_rc ie nu_l to nu_rc at oscillations is unobserved since it is supposed that mass of nu_rc is very big | [['usually', 'it', 'is', 'supposed', 'that', 'majorana', 'neutrino', 'produced', 'in', 'the', 'superposition', 'state', 'chi_l', 'nu_l', 'nu_lc', 'and', 'then', 'follows', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'but', 'since', 'weak', 'interactions', 'are', 'chiral', 'invariant', 'then', 'the', 'neutrino', 'at', 'production', 'has', 'definite', 'helicity', 'ie', 'nu_l', 'and', 'nu_lc', 'neutrinos', 'are', 'separately', 'produced', 'and', 'then', 'neutrino', 'is', 'not', 'in', 'the', 'superposition', 'state', 'this', 'helicity', 'can', 'not', 'change', 'after', 'production', 'without', 'any', 'external', 'interactions', 'thus', 'we', 'see', 'that', 'for', 'unsuitable', 'helicity', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'is', 'not', 'possible', 'even', 'if', 'neutrino', 'is', 'a', 'majorana', 'particle', 'also', 'transition', 'of', 'majorana', 'neutrino', 'into', 'antineutrino', 'at', 'their', 'oscillations', 'is', 'forbidden', 'since', 'helicity', 'in', 'vacuum', 'holds', 'then', 'only', 'possibility', 'to', 'prove', 'that', 'neutrino', 'is', 'a', 'dirac', 'but', 'not', 'majorana', 'particle', 'is', 'detection', 'transition', 'of', 'nu_l', 'neutrino', 'into', 'sterile', 'antineutrino', 'barnu_r', 'ie', 'nu_l', 'to', 'barnu_r', 'at', 'neutrino', 'oscillations', 'transition', 'majora', 'neutrino', 'nu_l', 'into', 'nu_rc', 'ie', 'nu_l', 'to', 'nu_rc', 'at', 'oscillations', 'is', 'unobserved', 'since', 'it', 'is', 'supposed', 'that', 'mass', 'of', 'nu_rc', 'is', 'very', 'big']] | [-0.08909541029259091, 0.43667982607089645, -0.009997317040651517, 0.20593895351210656, -0.08756664104736116, -0.21740701336036378, 0.057306440382064144, 0.32130210302605094, -0.21437267904004814, -0.23003699964714014, -0.0056030507887642874, -0.31494235107675195, -0.030271339743056253, 0.1549572653882795, 0.08593746037679265, 0.006452842995736606, 0.06099601394623589, 0.05894946220295527, -0.056075150296283606, -0.20011073901005608, 0.3091782825156056, 0.06659365105855314, 0.232303018734755, 0.07998570197709848, 0.055002047509379405, -0.07030404171364123, -0.0013937906419587193, -0.1420533453185064, -0.03490163628912687, -0.10787674623557744, 0.20533628047066682, 0.11551609980030858, 0.09215475245131345, -0.3952846262321065, -0.11264254757545039, 0.22321810963699193, 0.23645641841583803, 0.059263399666576067, -0.06984554137297776, -0.30487226304609943, 0.10528681010945075, -0.19677198635078258, -0.06912143803142672, -0.04101248225049835, 0.03201695006411476, -0.11733582022871021, -0.3490798245898825, 0.08911121748163088, 0.006246599913987366, -0.07990039478327278, 0.019133806925656013, -0.15132898469514486, -0.03360135835017773, 0.05228206486429406, 0.1681562627671593, -0.011702071300625234, 0.11677692304925309, -0.12638094762334293, -0.07757638762351361, 0.38775904356248536, -0.05910711632481529, -0.1744862175605531, 0.08586906894446127, -0.21284924184644147, -0.12561524924645318, 0.19365871700611484, 0.09803171477006466, 0.012903202322158443, -0.15818577146016155, 0.1350889468578109, -0.08625960345910508, 0.16924078893019595, 0.0811519751183783, 0.012710254618756568, 0.3114807324607774, 0.1960075913834138, 0.11414888728103495, -0.08748059380870266, -0.1381891148807363, -0.0003257582404008253, -0.3917017844387719, -0.14616669336616805, -0.14731183904517867, 0.15145588279414415, 0.06082860748841695, -0.17134134618188196, 0.3996406342580773, 0.05286711872602471, 0.15550601202239359, -0.012699575929702082, 0.28009889345274225, 0.12423772338919248, 0.042912617492300895, 0.05353296307782065, 0.337519113062822, 0.18593309196065874, 0.12270177750482777, -0.2895796373987547, 0.06301717416831304, 0.07573332908103549] |
707.4558 | Open Problems in Algebraic Statistics | Algebraic statistics is concerned with the study of probabilistic models and
techniques for statistical inference using methods from algebra and geometry.
This article presents a list of open mathematical problems in this emerging
field, with main emphasis on graphical models with hidden variables, maximum
likelihood estimation, and multivariate Gaussian distributions. This article is
based on a lecture presented at the IMA in Minneapolis during the 2006/07
program on Applications of Algebraic Geometry.
| math.ST math.AG stat.CO stat.TH | algebraic statistics is concerned with the study of probabilistic models and techniques for statistical inference using methods from algebra and geometry this article presents a list of open mathematical problems in this emerging field with main emphasis on graphical models with hidden variables maximum likelihood estimation and multivariate gaussian distributions this article is based on a lecture presented at the ima in minneapolis during the 200607 program on applications of algebraic geometry | [['algebraic', 'statistics', 'is', 'concerned', 'with', 'the', 'study', 'of', 'probabilistic', 'models', 'and', 'techniques', 'for', 'statistical', 'inference', 'using', 'methods', 'from', 'algebra', 'and', 'geometry', 'this', 'article', 'presents', 'a', 'list', 'of', 'open', 'mathematical', 'problems', 'in', 'this', 'emerging', 'field', 'with', 'main', 'emphasis', 'on', 'graphical', 'models', 'with', 'hidden', 'variables', 'maximum', 'likelihood', 'estimation', 'and', 'multivariate', 'gaussian', 'distributions', 'this', 'article', 'is', 'based', 'on', 'a', 'lecture', 'presented', 'at', 'the', 'ima', 'in', 'minneapolis', 'during', 'the', '200607', 'program', 'on', 'applications', 'of', 'algebraic', 'geometry']] | [-0.06357143118899937, -0.00705374314242767, -0.12594208894814882, 0.08186835939543219, -0.0991730085030819, -0.14290052213861296, 0.03146628964330173, 0.32729436391188454, -0.26214977336995715, -0.32402749959793353, 0.18838210777418377, -0.2334301568658298, -0.17783739228939843, 0.21581106517826104, -0.14507527344782525, 0.06442150106886402, 0.0768164419181024, 0.030924964282247756, -0.08837919093073449, -0.23692827543709427, 0.3567728269877585, 0.0654051589857166, 0.2953321123495698, -0.01703767224939333, 0.14426380266538924, 0.08739283832902503, -0.11386258753029527, 0.006018196344181585, -0.1591480117252407, 0.20183321679036859, 0.29258459424343325, 0.17163305003325352, 0.2845999252814282, -0.39420615488456356, -0.1802994484153007, 0.05716486917420601, 0.10414686833165535, 0.08556397492066026, -0.02141100816111753, -0.26941413341814446, 0.025612665165681392, -0.12694853595975372, -0.06519894281680333, -0.007807125065786143, -0.009161120705862736, 0.03718301548764834, -0.2337092791373531, 0.043744708760641515, 0.05445765858490227, 0.215051583518895, -0.00019276548280484148, -0.17025404850493134, 0.06796219666203898, -0.003160279211846905, 0.04245061270194128, 0.03298161690731326, 0.07362337591540483, -0.12444059888689986, -0.16940290167824262, 0.3156910598045215, -0.014411631059677651, -0.21273822863036507, 0.171658947465605, -0.08268637091128363, -0.24661229783022362, 0.08226393266684479, 0.26167906174022293, 0.1094259755530705, -0.1778514338398559, 0.1529601698510103, -0.02473163833686461, 0.12717074192510658, -0.02020756122914867, -0.04809905940459834, 0.20604194336273293, 0.19399920858106473, -0.012230250777469741, 0.16405133333885008, -0.0525242870757615, -0.12891960801142785, -0.3400867084144718, -0.12977406739567718, -0.17069248985111093, 0.00443322859549274, -0.06261422006456188, -0.1908515591122624, 0.4311261777766049, 0.18245652359716283, 0.1450052185747255, 0.07107251233214305, 0.286432513262197, 0.09110428645767064, -0.031002795508053776, 0.08929082011713439, 0.135344166857572, 0.2318308903551143, 0.14194919873261824, -0.11122432798826291, 0.07598965421655318, 0.06709771191041607] |
707.4559 | Information-Disturbance theorem and Uncertainty Relation | It has been shown that Information-Disturbance theorem can play an important
role in security proof of quantum cryptography. The theorem is by itself
interesting since it can be regarded as an information theoretic version of
uncertainty principle. It, however, has been able to treat restricted
situations. In this paper, the restriction on the source is abandoned, and a
general information-disturbance theorem is obtained. The theorem relates
information gain by Eve with information gain by Bob.
| quant-ph | it has been shown that informationdisturbance theorem can play an important role in security proof of quantum cryptography the theorem is by itself interesting since it can be regarded as an information theoretic version of uncertainty principle it however has been able to treat restricted situations in this paper the restriction on the source is abandoned and a general informationdisturbance theorem is obtained the theorem relates information gain by eve with information gain by bob | [['it', 'has', 'been', 'shown', 'that', 'informationdisturbance', 'theorem', 'can', 'play', 'an', 'important', 'role', 'in', 'security', 'proof', 'of', 'quantum', 'cryptography', 'the', 'theorem', 'is', 'by', 'itself', 'interesting', 'since', 'it', 'can', 'be', 'regarded', 'as', 'an', 'information', 'theoretic', 'version', 'of', 'uncertainty', 'principle', 'it', 'however', 'has', 'been', 'able', 'to', 'treat', 'restricted', 'situations', 'in', 'this', 'paper', 'the', 'restriction', 'on', 'the', 'source', 'is', 'abandoned', 'and', 'a', 'general', 'informationdisturbance', 'theorem', 'is', 'obtained', 'the', 'theorem', 'relates', 'information', 'gain', 'by', 'eve', 'with', 'information', 'gain', 'by', 'bob']] | [-0.07676329349322865, 0.04927523880304458, -0.21157652484873932, 0.13753474803330998, -0.08127266389628252, -0.22557887764647602, 0.020693313589630027, 0.3061803893496593, -0.2856321434925, -0.3041122414916754, 0.14277151545354475, -0.22650654102365175, -0.17357205828030906, 0.24285362541675568, -0.21411077183981736, 0.04283713902036349, 0.04619059458840638, 0.10251200670997301, 0.02318293323041871, -0.26364961681266624, 0.3064476528018713, 0.09300586867301415, 0.3143740141640107, 0.14521761521076162, 0.11385224959502617, 0.08777565592279037, -0.020012460152308145, -0.008924170831839244, -0.10974009902885883, 0.09978653161476056, 0.32818653733159103, 0.1670665084073941, 0.34640576696023345, -0.3668968819330136, -0.2464065025622646, 0.12649060597022374, 0.1349812983473142, 0.1220318648343285, -0.031968147514077526, -0.29738031384845576, 0.07532892376805345, -0.1803991504261891, -0.12370243629440665, -0.07995140245805184, -0.013392444625496864, -0.06869705620066573, -0.2328365528335174, 0.039144573093702395, 0.17081264733026424, 0.040883932076394555, 0.05684744706998269, -0.02845412354761114, 0.005768724878629048, 0.17470784458642205, 0.04988789689106246, 0.06557372760493309, 0.09619759822885196, -0.0700579626020044, -0.14150919929146766, 0.3783235364655654, 0.007407079137240847, -0.21668065649767718, 0.08502134331812461, -0.01757798751195272, -0.1555328097877403, 0.07937805708187322, 0.10175711174805958, 0.0688828402136763, -0.17172297878811757, 0.12664435042611633, -0.12983173140014212, 0.1954252252789835, 0.09855882732818524, 0.12517586118619267, 0.1960757886284652, 0.10093571091691653, 0.08010308030992747, 0.1702849179614956, -0.017627928067619602, -0.1374338922277093, -0.2527342156569163, -0.1704673065493504, -0.2287719342081497, 0.12274274525581859, -0.049902689721396505, -0.05905473011351811, 0.2728928397844235, 0.14852020119627315, 0.0823634267784655, -0.044344979698459304, 0.3198729955156644, 0.1750405997162064, 0.09096382907902201, 0.0637208112453421, 0.2884325815240542, 0.21158153489232062, 0.11323984001452723, -0.09712536653503775, 0.14729791509608428, 0.09252711807067196] |
707.456 | Masses and semileptonic decays of doubly heavy baryons in a
nonrelativistic quark model | We evaluate masses and semileptonic decay widths for the ground state of
doubly heavy $\Xi$ and $\Omega$ baryons in the framework of a nonrelativistic
quark model. We solve the three-body problem by means of a variational ansatz
made possible by heavy-quark spin symmetry constraints. Our masses are
comparable to the ones obtained in relativistic calculations and we get one of
the best agreements with lattice data. Our simple wave functions are used to
evaluate semileptonic decays of doubly heavy $\Xi, \Xi'(J=1/2)$ and $\Omega,
\Omega'(J=1/2)$ baryons. Our results for the decay widths are in reasonable
agreement with calculations done in a relativistic calculation in the
quark-diquark approximation. We also check that our wave functions comply with
what it is expected in the infinite heavy quark mass limit.
| nucl-th | we evaluate masses and semileptonic decay widths for the ground state of doubly heavy xi and omega baryons in the framework of a nonrelativistic quark model we solve the threebody problem by means of a variational ansatz made possible by heavyquark spin symmetry constraints our masses are comparable to the ones obtained in relativistic calculations and we get one of the best agreements with lattice data our simple wave functions are used to evaluate semileptonic decays of doubly heavy xi xij12 and omega omegaj12 baryons our results for the decay widths are in reasonable agreement with calculations done in a relativistic calculation in the quarkdiquark approximation we also check that our wave functions comply with what it is expected in the infinite heavy quark mass limit | [['we', 'evaluate', 'masses', 'and', 'semileptonic', 'decay', 'widths', 'for', 'the', 'ground', 'state', 'of', 'doubly', 'heavy', 'xi', 'and', 'omega', 'baryons', 'in', 'the', 'framework', 'of', 'a', 'nonrelativistic', 'quark', 'model', 'we', 'solve', 'the', 'threebody', 'problem', 'by', 'means', 'of', 'a', 'variational', 'ansatz', 'made', 'possible', 'by', 'heavyquark', 'spin', 'symmetry', 'constraints', 'our', 'masses', 'are', 'comparable', 'to', 'the', 'ones', 'obtained', 'in', 'relativistic', 'calculations', 'and', 'we', 'get', 'one', 'of', 'the', 'best', 'agreements', 'with', 'lattice', 'data', 'our', 'simple', 'wave', 'functions', 'are', 'used', 'to', 'evaluate', 'semileptonic', 'decays', 'of', 'doubly', 'heavy', 'xi', 'xij12', 'and', 'omega', 'omegaj12', 'baryons', 'our', 'results', 'for', 'the', 'decay', 'widths', 'are', 'in', 'reasonable', 'agreement', 'with', 'calculations', 'done', 'in', 'a', 'relativistic', 'calculation', 'in', 'the', 'quarkdiquark', 'approximation', 'we', 'also', 'check', 'that', 'our', 'wave', 'functions', 'comply', 'with', 'what', 'it', 'is', 'expected', 'in', 'the', 'infinite', 'heavy', 'quark', 'mass', 'limit']] | [-0.07657488162799235, 0.1903770421368761, -0.06546969846221468, 0.16669033905735328, -0.04542895473329531, -0.11702099813884424, 0.07570527419316463, 0.36442565689644507, -0.1746047259188227, -0.24335337934204407, -0.022791988150622215, -0.342876895360889, 0.017614705458043084, 0.12835786756758968, 0.1077673253133863, 0.15012548764746997, 0.1094461636272289, 0.03486406601281957, -0.1129916742046912, -0.2169008002120761, 0.327271003730505, -0.004993371113443807, 0.1938327235702966, 0.11770619303288479, -0.015152905165450647, -0.012947105340689661, 0.007399393767569094, -0.02549906537657784, -0.14887906722152924, 0.08741674718593488, 0.17172623624660885, 0.07790031394125113, 0.16845337430676144, -0.41820515949098813, -0.13901140375979124, 0.05336169537246948, 0.1659288418426689, 0.16702316842237186, -0.05009117086357888, -0.3239277024648242, 0.08714960283888955, -0.21719177716576885, -0.1888842274014267, -0.13318575181878142, -0.01542190475870044, 0.0015237446003142864, -0.3262681723046567, 0.09417507070235931, -0.054019556401462686, -0.04387551267932248, -0.07254154536677825, -0.20760942592225487, -0.019287370499261023, 0.04102439231674878, 0.13092360028625286, 0.07719959438057436, 0.08819792108448793, -0.1309465241059614, -0.1218968061598829, 0.4534334253609901, -0.10118231001580434, -0.2465113073703833, 0.11621654159840077, -0.18046982169541861, -0.16100679866353712, 0.11340530714651029, 0.17687733293954103, 0.12233798991972787, -0.17292447943210362, 0.09434500011998499, -0.0997096977772608, 0.15528910945830565, 0.0541835323299071, 0.05163939201385449, 0.16927767254322046, 0.17228780336858285, -0.06467646213188287, 0.06439338886787394, -0.02806347849283127, -0.11838406140422224, -0.35267657651415757, -0.09459392287422932, -0.13697234121519292, 0.037976954215639944, -0.07585593093150941, -0.10494859784281993, 0.36402040155183885, 0.11175007915364639, 0.2325845787587065, 0.07204950931707337, 0.2981198286006768, 0.13024395210443124, 0.04637932550066316, 0.10814652914057425, 0.2957342730669846, 0.21252249197042997, 0.0732507040619009, -0.2863568169977366, -0.0011900784485342523, 0.06950939231131587] |
707.4561 | Observation of B-meson decays to b_1 pi and b_1 K | We present the results of searches for decays of B mesons to final states
with a b_1 meson and a charged pion or kaon. The data, collected with the BaBar
detector at the Stanford Linear Accelerator Center, represent 382 million
B-Bbar pairs produced in e+e- annihilation. The results for the branching
fractions are, in units of 10^{-6}, B(B+ -> b1^0 pi+) = 6.7 +/- 1.7 +/- 1.0
(4.0 sigma), B(B+ -> b1^0 K+ = 9.1+/- 1.7+/- 1.0 (5.3 sigma), B(B0 -> b1^-/+
pi^+/-) = 10.9 +/- 1.2 +/- 0.9 (8.9 sigma), and B(B0 -> b1^-K+) = 7.4 +/- 1.0
+/- 1.0 (6.1 sigma), with the assumption that B(b_1 -> omega pi)=1. We also
measure charge and flavor asymmetries Ach(B+ -> b1^0 pi+) = 0.05 +/- 0.16 +/-
0.02, Ach(B+ -> b1^0 K+ = -0.46 +/- 0.20 +/- 0.02, Ach(B0 -> b1^-/+ pi^+/-) =
-0.05 +/- 0.10 +/- 0.02, C(B0 -> b1^-/+ pi^+/-) = -0.22 +/- 0.23 +/- 0.05,
deltaC(B0 -> b1^-/+ pi^+/-) = -1.04 +/- 0.23 +/- 0.08, and Ach(B0 -> b1^-K+) =
-0.07 +/- 0.12 +/- 0.02, The first error quoted is statistical, the second
systematic, and for the branching fractions, the significance is given in
parentheses.
| hep-ex | we present the results of searches for decays of b mesons to final states with a b_1 meson and a charged pion or kaon the data collected with the babar detector at the stanford linear accelerator center represent 382 million bbbar pairs produced in ee annihilation the results for the branching fractions are in units of 106 bb b10 pi 67 17 10 40 sigma bb b10 k 91 17 10 53 sigma bb0 b1 pi 109 12 09 89 sigma and bb0 b1k 74 10 10 61 sigma with the assumption that bb_1 omega pi1 we also measure charge and flavor asymmetries achb b10 pi 005 016 002 achb b10 k 046 020 002 achb0 b1 pi 005 010 002 cb0 b1 pi 022 023 005 deltacb0 b1 pi 104 023 008 and achb0 b1k 007 012 002 the first error quoted is statistical the second systematic and for the branching fractions the significance is given in parentheses | [['we', 'present', 'the', 'results', 'of', 'searches', 'for', 'decays', 'of', 'b', 'mesons', 'to', 'final', 'states', 'with', 'a', 'b_1', 'meson', 'and', 'a', 'charged', 'pion', 'or', 'kaon', 'the', 'data', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'represent', '382', 'million', 'bbbar', 'pairs', 'produced', 'in', 'ee', 'annihilation', 'the', 'results', 'for', 'the', 'branching', 'fractions', 'are', 'in', 'units', 'of', '106', 'bb', 'b10', 'pi', '67', '17', '10', '40', 'sigma', 'bb', 'b10', 'k', '91', '17', '10', '53', 'sigma', 'bb0', 'b1', 'pi', '109', '12', '09', '89', 'sigma', 'and', 'bb0', 'b1k', '74', '10', '10', '61', 'sigma', 'with', 'the', 'assumption', 'that', 'bb_1', 'omega', 'pi1', 'we', 'also', 'measure', 'charge', 'and', 'flavor', 'asymmetries', 'achb', 'b10', 'pi', '005', '016', '002', 'achb', 'b10', 'k', '046', '020', '002', 'achb0', 'b1', 'pi', '005', '010', '002', 'cb0', 'b1', 'pi', '022', '023', '005', 'deltacb0', 'b1', 'pi', '104', '023', '008', 'and', 'achb0', 'b1k', '007', '012', '002', 'the', 'first', 'error', 'quoted', 'is', 'statistical', 'the', 'second', 'systematic', 'and', 'for', 'the', 'branching', 'fractions', 'the', 'significance', 'is', 'given', 'in', 'parentheses']] | [-0.11983132950565475, 0.23901923535567068, 0.004669752044530658, 0.06162137224175665, 0.03533965393949252, -0.12821519435398498, 0.19745908045835867, 0.2720974398801079, -0.14818643514284646, -0.3432778144472992, -0.0210153458779073, -0.4763245755661424, 0.13004819365889558, 0.11149761794881846, 0.04149646978211505, 0.05151789389511377, 0.04601009299061276, 0.007999850098382343, -0.08525661933205586, -0.17895742692355696, 0.06679356564441091, -0.04810260248471765, 0.21922076782272137, 0.0294511565884164, -0.011306145167214095, -0.07002653129770747, -0.03505478281672899, -0.12561636541474175, -0.23392483851043303, 0.0009172727681194469, 0.22416843262851818, 0.057332471332455344, 0.1291415480769832, -0.18682688438294262, 0.05855347783389417, 0.13146078428208174, 0.14020717957710194, -0.08996104004992438, -0.0014685374940140777, -0.3401590232531746, 0.24847429921221617, -0.1965329702610948, -0.06306269946326683, 0.07263563804603605, 0.15885059622588096, -0.1292273939962124, -0.32433770038187504, 0.22253706198402637, -0.03555669234090412, 0.14612710224343584, -0.06423695863817226, -0.3900919539178117, -0.01798996556393028, -0.070023506430776, -0.018482971817025212, 0.26941394547677855, 0.21138941139502862, 0.0019804525745476223, -0.08326196335498001, 0.431110117342565, -0.10914223951547612, -0.1419526467827807, 0.08685487534778265, -0.2791197552472692, -0.1707042754134889, 0.2581813119702622, 0.16507478805286085, 0.018152987839980657, -0.17441921122976906, 0.07699474066536717, 0.004137557024111995, 0.27031296442637776, 0.11982738958707974, 0.03673074358670561, 0.17199212700346267, 0.1323038179513563, -0.07540951384376589, -0.001111338076834845, -0.2702489945547679, 0.0433511589895692, -0.3169448538698474, -0.08465998373659593, 0.01691649185324257, 0.17814452449304305, -0.17397523437905982, 0.025568137071042493, 0.2894936125005849, -0.001908862219470275, 0.34778099885065256, 0.04687075388673376, 0.20504283560016615, 0.04178061776389307, -0.029843307696297984, 0.10151777698434647, 0.2974929715606517, 0.24782129112848794, 0.10200812407563646, -0.16517275382175758, -0.04053431524072665, -0.08117587518479143] |
707.4562 | Warped Kaluza-Klein Towers Revisited | Inspired by the warped Randall Sundrum scenario proposed to solve the mass
scale hierarchy problem with a compactified fifth extra dimension, a similar
model with no metric singularities has been elaborated. In this framework, the
Kaluza-Klein reduction equations for a real massless scalar field propagating
in the bulk have been studied carefully from the point of view of hermiticity
so as to formulate in a mathematically rigorous way all the possible boundary
conditions and corresponding mass eigenvalue towers and tachyon states. The
physical masses as observable in our four-dimensional brane are deduced from
these mass eigenvalues depending on the location of the brane on the extra
dimension axis. Examples of mass towers and tachyons and related field
probability densities are presented from numerical computations performed for
some arbitrary choices of the parameters of the model.
| hep-th | inspired by the warped randall sundrum scenario proposed to solve the mass scale hierarchy problem with a compactified fifth extra dimension a similar model with no metric singularities has been elaborated in this framework the kaluzaklein reduction equations for a real massless scalar field propagating in the bulk have been studied carefully from the point of view of hermiticity so as to formulate in a mathematically rigorous way all the possible boundary conditions and corresponding mass eigenvalue towers and tachyon states the physical masses as observable in our fourdimensional brane are deduced from these mass eigenvalues depending on the location of the brane on the extra dimension axis examples of mass towers and tachyons and related field probability densities are presented from numerical computations performed for some arbitrary choices of the parameters of the model | [['inspired', 'by', 'the', 'warped', 'randall', 'sundrum', 'scenario', 'proposed', 'to', 'solve', 'the', 'mass', 'scale', 'hierarchy', 'problem', 'with', 'a', 'compactified', 'fifth', 'extra', 'dimension', 'a', 'similar', 'model', 'with', 'no', 'metric', 'singularities', 'has', 'been', 'elaborated', 'in', 'this', 'framework', 'the', 'kaluzaklein', 'reduction', 'equations', 'for', 'a', 'real', 'massless', 'scalar', 'field', 'propagating', 'in', 'the', 'bulk', 'have', 'been', 'studied', 'carefully', 'from', 'the', 'point', 'of', 'view', 'of', 'hermiticity', 'so', 'as', 'to', 'formulate', 'in', 'a', 'mathematically', 'rigorous', 'way', 'all', 'the', 'possible', 'boundary', 'conditions', 'and', 'corresponding', 'mass', 'eigenvalue', 'towers', 'and', 'tachyon', 'states', 'the', 'physical', 'masses', 'as', 'observable', 'in', 'our', 'fourdimensional', 'brane', 'are', 'deduced', 'from', 'these', 'mass', 'eigenvalues', 'depending', 'on', 'the', 'location', 'of', 'the', 'brane', 'on', 'the', 'extra', 'dimension', 'axis', 'examples', 'of', 'mass', 'towers', 'and', 'tachyons', 'and', 'related', 'field', 'probability', 'densities', 'are', 'presented', 'from', 'numerical', 'computations', 'performed', 'for', 'some', 'arbitrary', 'choices', 'of', 'the', 'parameters', 'of', 'the', 'model']] | [-0.12283243841871068, 0.13487432839573119, -0.06231363670969451, 0.11493549139532089, -0.08658793080011727, -0.15504355168797904, -0.0064640713131262195, 0.2955070674126209, -0.1672221766853774, -0.3234073471415926, 0.1087370048397807, -0.2370015950942481, -0.12408412642501018, 0.1477421824199458, -0.037389993005328706, 0.09616658969575333, 0.010106830705923062, 0.08099166873014635, -0.06961125056127289, -0.2436804973554832, 0.4039279418911233, 0.03160012790726291, 0.24223713774613484, 0.059178725036757966, 0.10950296001370859, -0.051869255573385294, -0.01229880894706757, 0.01109202098860233, -0.12911455204744857, 0.07812972078401664, 0.18333380832164375, 0.09275347890194367, 0.1785617974690265, -0.41333081465628413, -0.25282461652877153, 0.09513169735394142, 0.17837495173983, 0.11395315412018034, -0.05009222026500437, -0.30060424846079614, 0.05238523902371526, -0.15931898072637893, -0.21152838545816915, -0.036337709830453, -0.0038653545961197877, -0.09558087267257549, -0.25617527184938943, 0.07018924383963976, -0.021377745236235635, 0.03839655805517126, -0.09981904156437074, -0.12990551268061, -0.08853696100586267, 0.07094603530476215, 0.1506036674896475, -0.006192459454070087, 0.10854796786551123, -0.11727398983720276, -0.13384294882847894, 0.3746464069829219, -0.049936817765787796, -0.2746776666319757, 0.16611938229417084, -0.11439566786090533, -0.11258367115321259, 0.1144191818708485, 0.15181712446285894, 0.1385861106988698, -0.15714156635933452, 0.19216197223264586, -0.06947360104208605, 0.12177685742822683, 0.13064101852338622, 0.02699959623946429, 0.2359122256644898, 0.11661518484491992, 0.03146784969398545, 0.09264869984515288, -0.04343841532417746, -0.1383273144670831, -0.36223675343725414, -0.12657968919482773, -0.15441291573785107, 0.07710055843754499, -0.14354615572244964, -0.15156973187156297, 0.38824954271592477, 0.13989642479077533, 0.22869524886072787, 0.03679789641734075, 0.2665833534879817, 0.09579581799658222, 0.09567922613178208, 0.07530808389117873, 0.2610864479622924, 0.15264051288400812, 0.09968715616053453, -0.19758214193258297, -0.07234538870139254, 0.12201492008925588] |
707.4563 | Origin of lower velocity dispersions of ultra-compact dwarf galaxy
populations in clusters of galaxies | Recent observations have revealed that velocity dispersions of
``ultra-compact dwarf'' (UCD) galaxies are significantly smaller than those of
other galaxy populations in the Fornax and the Virgo clusters of galaxies. In
order to understand the origin of the observed lower velocity dispersions of
UCDs, we numerically investigate line-of-sight velocity dispersion (sigma_los)
of galaxy populations with variously different orbits in clusters of galaxies
with the total masses of M_cl. We particularly investigate radial velocity
dispersion profiles (sigma_los(R)) and velocity dispersions within the central
200 kpc of a cluster model (sigma_m) for galaxies with different pericenter
distances (r_p) and orbital eccentricities (e) in the model with M_cl = 7.0 x
10^13 M_sun reasonable for the Fornax cluster. We find that sigma_los(R) and
sigma_m of galaxies with smaller r_p are steeper and smaller, respectively, for
a given initial e distribution of galaxies. For example, we find that sigma_m
is ~ 260 km/s for galaxies with r_p <50 kpc and ~ 336 km/s for all galaxies in
the model with the mean e of 0.6. These results imply that the observed lower
velocity dispersion of UCD population is consistent with the UCDs having
significantly smaller r_p than other galaxy populations in the Fornax. We
discuss these results in the context of the ``galaxy threshing'' scenario in
which UCDs originate from nuclei of nucleated dwarf galaxies. We suggest that
the observed differences in kinematical properties between UCDs and other dwarf
galaxy populations in clusters of galaxies can be understood in terms of the
differences in orbital properties between UCDs and the dwarf populations.
| astro-ph | recent observations have revealed that velocity dispersions of ultracompact dwarf ucd galaxies are significantly smaller than those of other galaxy populations in the fornax and the virgo clusters of galaxies in order to understand the origin of the observed lower velocity dispersions of ucds we numerically investigate lineofsight velocity dispersion sigma_los of galaxy populations with variously different orbits in clusters of galaxies with the total masses of m_cl we particularly investigate radial velocity dispersion profiles sigma_losr and velocity dispersions within the central 200 kpc of a cluster model sigma_m for galaxies with different pericenter distances r_p and orbital eccentricities e in the model with m_cl 70 x 1013 m_sun reasonable for the fornax cluster we find that sigma_losr and sigma_m of galaxies with smaller r_p are steeper and smaller respectively for a given initial e distribution of galaxies for example we find that sigma_m is 260 kms for galaxies with r_p 50 kpc and 336 kms for all galaxies in the model with the mean e of 06 these results imply that the observed lower velocity dispersion of ucd population is consistent with the ucds having significantly smaller r_p than other galaxy populations in the fornax we discuss these results in the context of the galaxy threshing scenario in which ucds originate from nuclei of nucleated dwarf galaxies we suggest that the observed differences in kinematical properties between ucds and other dwarf galaxy populations in clusters of galaxies can be understood in terms of the differences in orbital properties between ucds and the dwarf populations | [['recent', 'observations', 'have', 'revealed', 'that', 'velocity', 'dispersions', 'of', 'ultracompact', 'dwarf', 'ucd', 'galaxies', 'are', 'significantly', 'smaller', 'than', 'those', 'of', 'other', 'galaxy', 'populations', 'in', 'the', 'fornax', 'and', 'the', 'virgo', 'clusters', 'of', 'galaxies', 'in', 'order', 'to', 'understand', 'the', 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707.4564 | Characterisation of pulsed Carbon fiber illuminators for FIR instrument
calibration | We manufactured pulsed illuminators emitting in the far infrared for the
Planck-HFI bolometric instrument ground calibrations. Specific measurements
have been conducted on these light sources, based on Carbon fibers, to
understand and predict their properties. We present a modelisation of the
temperature dependence of the thermal conductivity and the calorific
capacitance of the fibers. A comparison between simulations and bolometer data
is given, that shows the coherence of our model. Their small time constants,
their stability and their emission spectrum pointing in the submm range make
these illuminators a very usefull tool for calibrating FIR instruments.
| astro-ph | we manufactured pulsed illuminators emitting in the far infrared for the planckhfi bolometric instrument ground calibrations specific measurements have been conducted on these light sources based on carbon fibers to understand and predict their properties we present a modelisation of the temperature dependence of the thermal conductivity and the calorific capacitance of the fibers a comparison between simulations and bolometer data is given that shows the coherence of our model their small time constants their stability and their emission spectrum pointing in the submm range make these illuminators a very usefull tool for calibrating fir instruments | [['we', 'manufactured', 'pulsed', 'illuminators', 'emitting', 'in', 'the', 'far', 'infrared', 'for', 'the', 'planckhfi', 'bolometric', 'instrument', 'ground', 'calibrations', 'specific', 'measurements', 'have', 'been', 'conducted', 'on', 'these', 'light', 'sources', 'based', 'on', 'carbon', 'fibers', 'to', 'understand', 'and', 'predict', 'their', 'properties', 'we', 'present', 'a', 'modelisation', 'of', 'the', 'temperature', 'dependence', 'of', 'the', 'thermal', 'conductivity', 'and', 'the', 'calorific', 'capacitance', 'of', 'the', 'fibers', 'a', 'comparison', 'between', 'simulations', 'and', 'bolometer', 'data', 'is', 'given', 'that', 'shows', 'the', 'coherence', 'of', 'our', 'model', 'their', 'small', 'time', 'constants', 'their', 'stability', 'and', 'their', 'emission', 'spectrum', 'pointing', 'in', 'the', 'submm', 'range', 'make', 'these', 'illuminators', 'a', 'very', 'usefull', 'tool', 'for', 'calibrating', 'fir', 'instruments']] | [-0.0730061371747676, 0.08617603014378498, -0.10981859561191716, 0.04013423839084377, -0.048256224050419405, -0.10283445037081644, 0.05768758118938422, 0.48801500885747373, -0.17643763349042274, -0.3185788821380508, 0.12052678731803705, -0.31754661806917284, -0.04624210186496688, 0.26248878896876704, -0.0136673092735388, 0.07104894688139514, 0.023532875815969117, -0.09339351228360708, -0.02481425837565136, -0.18542514310684055, 0.2561102751787985, 0.11950670837541111, 0.2878469340697241, 0.07598494298872538, 0.0939760415215763, -0.07293773595605064, -0.07597224936277296, -0.002843758324161172, -0.1643213295347626, 0.09589645325710687, 0.23988551749304557, 0.06207490165009707, 0.17595008217782984, -0.4020990064794508, -0.2080700309209836, 0.08199399306370954, 0.04590128871738367, 0.03150701815047796, -0.03884817847817127, -0.2486665457690833, 0.040555955018741464, -0.11523132860747864, -0.13869561927322138, -0.05235473955205331, -0.0007944677345221862, 0.0718186663192076, -0.18791138816838307, 0.010054177088629027, -0.025636472934517467, 0.11222084347779553, -0.11072553117507293, -0.14240483396012374, -0.028782044903588638, 0.14564146810403145, -0.001052409385010833, -0.020445479992001008, 0.1945510548830498, -0.13704062616064525, -0.03768986505262243, 0.35140939050082426, -0.08985313595621847, -0.0659991313732462, 0.18266595115467985, -0.17241748652304523, -0.12188829905547512, 0.12764290118260155, 0.140199848159682, 0.12016279088857118, -0.1708929468295537, 0.013233646102889907, 0.02642945017820845, 0.2328963690645954, 0.03431639782502316, 0.12605054373852909, 0.2694728186300684, 0.18963855400215834, -0.03085092360318716, 0.14036541583482176, -0.20317847145391474, 0.0062537589789523436, -0.2524716506401698, -0.1318182796239853, -0.16095346205838723, 0.08192555419130561, -0.1004606326356831, -0.15394560633467336, 0.3750687325276279, 0.17972204983395082, 0.14968202650197782, 0.06088123503529156, 0.321837537320486, 0.0647750530212458, 0.08673048789690559, -0.0027571750797505956, 0.33959959480368224, 0.16043437991659934, 0.15719490029247632, -0.25484700169666513, 0.043527498540546126, -0.0391290102415951] |
707.4565 | On the Complexity of the Interlace Polynomial | We consider the two-variable interlace polynomial introduced by Arratia,
Bollobas and Sorkin (2004). We develop graph transformations which allow us to
derive point-to-point reductions for the interlace polynomial. Exploiting these
reductions we obtain new results concerning the computational complexity of
evaluating the interlace polynomial at a fixed point. Regarding exact
evaluation, we prove that the interlace polynomial is #P-hard to evaluate at
every point of the plane, except on one line, where it is trivially polynomial
time computable, and four lines, where the complexity is still open. This
solves a problem posed by Arratia, Bollobas and Sorkin (2004). In particular,
three specializations of the two-variable interlace polynomial, the
vertex-nullity interlace polynomial, the vertex-rank interlace polynomial and
the independent set polynomial, are almost everywhere #P-hard to evaluate, too.
For the independent set polynomial, our reductions allow us to prove that it is
even hard to approximate at any point except at 0.
| cs.CC math.CO | we consider the twovariable interlace polynomial introduced by arratia bollobas and sorkin 2004 we develop graph transformations which allow us to derive pointtopoint reductions for the interlace polynomial exploiting these reductions we obtain new results concerning the computational complexity of evaluating the interlace polynomial at a fixed point regarding exact evaluation we prove that the interlace polynomial is phard to evaluate at every point of the plane except on one line where it is trivially polynomial time computable and four lines where the complexity is still open this solves a problem posed by arratia bollobas and sorkin 2004 in particular three specializations of the twovariable interlace polynomial the vertexnullity interlace polynomial the vertexrank interlace polynomial and the independent set polynomial are almost everywhere phard to evaluate too for the independent set polynomial our reductions allow us to prove that it is even hard to approximate at any point except at 0 | [['we', 'consider', 'the', 'twovariable', 'interlace', 'polynomial', 'introduced', 'by', 'arratia', 'bollobas', 'and', 'sorkin', '2004', 'we', 'develop', 'graph', 'transformations', 'which', 'allow', 'us', 'to', 'derive', 'pointtopoint', 'reductions', 'for', 'the', 'interlace', 'polynomial', 'exploiting', 'these', 'reductions', 'we', 'obtain', 'new', 'results', 'concerning', 'the', 'computational', 'complexity', 'of', 'evaluating', 'the', 'interlace', 'polynomial', 'at', 'a', 'fixed', 'point', 'regarding', 'exact', 'evaluation', 'we', 'prove', 'that', 'the', 'interlace', 'polynomial', 'is', 'phard', 'to', 'evaluate', 'at', 'every', 'point', 'of', 'the', 'plane', 'except', 'on', 'one', 'line', 'where', 'it', 'is', 'trivially', 'polynomial', 'time', 'computable', 'and', 'four', 'lines', 'where', 'the', 'complexity', 'is', 'still', 'open', 'this', 'solves', 'a', 'problem', 'posed', 'by', 'arratia', 'bollobas', 'and', 'sorkin', '2004', 'in', 'particular', 'three', 'specializations', 'of', 'the', 'twovariable', 'interlace', 'polynomial', 'the', 'vertexnullity', 'interlace', 'polynomial', 'the', 'vertexrank', 'interlace', 'polynomial', 'and', 'the', 'independent', 'set', 'polynomial', 'are', 'almost', 'everywhere', 'phard', 'to', 'evaluate', 'too', 'for', 'the', 'independent', 'set', 'polynomial', 'our', 'reductions', 'allow', 'us', 'to', 'prove', 'that', 'it', 'is', 'even', 'hard', 'to', 'approximate', 'at', 'any', 'point', 'except', 'at', '0']] | [-0.14399161539350946, 0.013901546774432063, -0.06839255856970947, 0.08215878588069851, -0.09532799259293824, -0.17688886598994336, 0.06294572648281853, 0.3181582723309596, -0.34248705514861894, -0.2781335458283623, 0.11154435676444943, -0.24670630109806854, -0.15696146519854665, 0.19696368379052728, -0.06830105662966768, 0.08100205106195063, 0.05092479120784749, 0.002366628673238059, -0.05433706705303242, -0.3999483848978222, 0.2925341622158885, -0.0171529338384668, 0.16772350571428737, 0.08125700894432764, 0.11841843979122738, 0.01596687879646197, -0.06754768320359289, -0.016506116772070527, -0.15631013358215567, 0.05876259065039145, 0.3177063618103663, 0.1518257991510715, 0.22814732714866598, -0.3704101471344863, -0.07350443540140987, 0.224674128270708, 0.15208046400609115, 0.05414178010309115, 0.05570267756081497, -0.2228069939961036, 0.11398974913560475, -0.08033404878651103, -0.17871670544768373, -0.06345051276187103, 0.08762825918694338, 0.008253601559748252, -0.2917824365509053, 0.004201190859700243, 0.11093898532291253, 0.06553862759222587, 0.03405636079609394, -0.1394829187061017, 0.07635500294466814, 0.0748718987343212, -0.04049076775476957, 0.07138685831179221, 0.024148437602367873, -0.059818851917419424, -0.16185191770705085, 0.3366762722718219, -0.007970816843832532, -0.21916427291929721, 0.1367978285563489, -0.1454299908084795, -0.24175348387099801, 0.12941803432069718, 0.09497805239787946, 0.10167920477067431, -0.08278868996227781, 0.18041137498182555, -0.1614318108931184, 0.09862188529126191, 0.23091676803616187, -0.07161270934622735, 0.09154511678343018, -0.0016839402867481112, 0.09265601871321753, 0.20830563095747492, 0.03894181899881611, -0.11759641606360674, -0.2692468341059672, -0.12943520674714817, -0.20173228308325633, 0.044166557212981086, -0.15844082819879987, -0.16930781777016818, 0.39898946275313696, 0.1522382280851404, 0.15807172935456038, 0.20842837278187895, 0.21470682551618667, 0.16755931636570798, -0.017439598303608365, 0.175855810487022, 0.13372449465095998, 0.14008069603083034, 0.06278332715233167, -0.1842374244891107, 0.09825544958468527, 0.19027726949580634] |
707.4566 | Evolution of the Small Magellanic Cloud | Based on the results of N-body simulations on the last 2.5 Gyr evolution of
the Large and Small Magellanic Clouds (LMC and SMC, respectively) interacting
with the Galaxy, we firstly show when and where the leading arms (LAs) of the
Magellanic stream (MS) can pass through the Galactic plane after the MS
formation. We secondly show collisions between the outer Galactic HI disk and
the LAs of the MS can create giant HI holes and chimney-like structures in the
disk about 0.2 Gyr ago. We thirdly show that a large amount of metal-poor gas
is stripped from the SMC and transfered to the LMC during the tidal interaction
between the Clouds and the Galaxy about 0.2 and 1.3 Gyr ago. We thus propose
that this metal-poor gas can closely be associated with the origin of LMC's
young and intermediate-age stars and star clusters with distinctively
low-metallicities with [Fe/H] < -0.6.
| astro-ph | based on the results of nbody simulations on the last 25 gyr evolution of the large and small magellanic clouds lmc and smc respectively interacting with the galaxy we firstly show when and where the leading arms las of the magellanic stream ms can pass through the galactic plane after the ms formation we secondly show collisions between the outer galactic hi disk and the las of the ms can create giant hi holes and chimneylike structures in the disk about 02 gyr ago we thirdly show that a large amount of metalpoor gas is stripped from the smc and transfered to the lmc during the tidal interaction between the clouds and the galaxy about 02 and 13 gyr ago we thus propose that this metalpoor gas can closely be associated with the origin of lmcs young and intermediateage stars and star clusters with distinctively lowmetallicities with feh 06 | [['based', 'on', 'the', 'results', 'of', 'nbody', 'simulations', 'on', 'the', 'last', '25', 'gyr', 'evolution', 'of', 'the', 'large', 'and', 'small', 'magellanic', 'clouds', 'lmc', 'and', 'smc', 'respectively', 'interacting', 'with', 'the', 'galaxy', 'we', 'firstly', 'show', 'when', 'and', 'where', 'the', 'leading', 'arms', 'las', 'of', 'the', 'magellanic', 'stream', 'ms', 'can', 'pass', 'through', 'the', 'galactic', 'plane', 'after', 'the', 'ms', 'formation', 'we', 'secondly', 'show', 'collisions', 'between', 'the', 'outer', 'galactic', 'hi', 'disk', 'and', 'the', 'las', 'of', 'the', 'ms', 'can', 'create', 'giant', 'hi', 'holes', 'and', 'chimneylike', 'structures', 'in', 'the', 'disk', 'about', '02', 'gyr', 'ago', 'we', 'thirdly', 'show', 'that', 'a', 'large', 'amount', 'of', 'metalpoor', 'gas', 'is', 'stripped', 'from', 'the', 'smc', 'and', 'transfered', 'to', 'the', 'lmc', 'during', 'the', 'tidal', 'interaction', 'between', 'the', 'clouds', 'and', 'the', 'galaxy', 'about', '02', 'and', '13', 'gyr', 'ago', 'we', 'thus', 'propose', 'that', 'this', 'metalpoor', 'gas', 'can', 'closely', 'be', 'associated', 'with', 'the', 'origin', 'of', 'lmcs', 'young', 'and', 'intermediateage', 'stars', 'and', 'star', 'clusters', 'with', 'distinctively', 'lowmetallicities', 'with', 'feh', '06']] | [-0.061821241021600096, 0.11743505323780763, -0.08858628662984003, 0.08413660547839816, -0.061507152441901546, 0.025405763276546395, 0.07300034957006574, 0.4093915499471778, -0.2204121401746001, -0.3832073863595724, 0.0009064305731526657, -0.2800613100321701, -0.045685452305955575, 0.16980891774764797, -0.03865558515309087, -0.09323171292425401, 0.12991081567593668, -0.09209254625309633, -0.04877583224532638, -0.3496138817386939, 0.30109517408797404, 0.0455735512984129, 0.06848351834904427, -0.0576598106277169, 0.09667900861506569, -0.1281451728232455, -0.022915250093569893, -0.06484498544877408, -0.18941008210256025, 0.06314731567481614, 0.20287530915421004, 0.08926349763614719, 0.23413417075804416, -0.4083241660447929, -0.12939720851800485, 0.02542214335220547, 0.2668671132449761, 0.04339710590054575, -0.099462319810831, -0.3108865376499375, 0.12481079312063278, -0.2041032223800931, -0.17704873968965856, 0.12261151042360588, 0.062011458998508504, 0.07170447364493254, -0.19609678480985118, 0.17699391252479216, 0.023467352288781395, 0.1108381834768709, -0.07541089142233622, -0.11316022574714066, -0.05255655901531545, 0.07201566865012181, 0.025919401572842227, 0.08999366366973259, 0.17781442383791776, -0.11257829553769563, 0.016897888335355576, 0.4074506862182795, -0.08963790115801307, 0.06426385788859537, 0.259876817619528, -0.2311638603361961, -0.15603688165182936, 0.07570779297052377, 0.14920369221519478, 0.10146525980015567, -0.14648348432951905, 0.03998848767372961, -0.03317385806308297, 0.2268451195500866, 0.09591416197816448, 0.018673045995321762, 0.3286961902170473, 0.0967920754751778, 0.046341622431118716, 0.09895020283074211, -0.29056306875618676, -0.13715681578688974, -0.18221845490945465, -0.11436863706740957, -0.08022186836624681, 0.07969360816880011, -0.1870430513469099, -0.07129267436270946, 0.27394589455485746, 0.10771496221735674, 0.2654936042358011, 0.052273185428344464, 0.3222137654631919, 0.046247899930786665, 0.13547160348936216, 0.20048933850731013, 0.2725496292926821, 0.1809698797452995, 0.06905092641823744, -0.24368768659476567, 0.09965774958215703, -0.02407090183059941] |
707.4567 | A boundedness result for toric log Del Pezzo surfaces | In this paper we give an upper bound for the Picard number of the rational
surfaces which resolve minimally the singularities of toric log Del Pezzo
surfaces of given index $\ell$. This upper bound turns out to be a quadratic
polynomial in the variable $\ell$.
| math.AG math.CO | in this paper we give an upper bound for the picard number of the rational surfaces which resolve minimally the singularities of toric log del pezzo surfaces of given index ell this upper bound turns out to be a quadratic polynomial in the variable ell | [['in', 'this', 'paper', 'we', 'give', 'an', 'upper', 'bound', 'for', 'the', 'picard', 'number', 'of', 'the', 'rational', 'surfaces', 'which', 'resolve', 'minimally', 'the', 'singularities', 'of', 'toric', 'log', 'del', 'pezzo', 'surfaces', 'of', 'given', 'index', 'ell', 'this', 'upper', 'bound', 'turns', 'out', 'to', 'be', 'a', 'quadratic', 'polynomial', 'in', 'the', 'variable', 'ell']] | [-0.23338679602990547, 0.05950723871258864, -0.13245322135173612, 0.09978183910975026, -0.06429898080726465, -0.24181874985289242, 0.0698142002776472, 0.18971635355717606, -0.27426431230786774, -0.33980934747184316, 0.03946632072846923, -0.2630737160642942, -0.13110238718282846, 0.20358371064066888, -0.14840865128984054, 0.0099504544503159, -0.03351487217264043, 0.053634772035810685, -0.07761309229665332, -0.45027691146565807, 0.3697204638686445, 0.05504495576024056, 0.14493375442818635, 0.12359635941684247, 0.06135405134409666, -0.02982798967924383, 0.019591951494415602, -0.06445775969574849, -0.22264496799972322, 0.13336319842686256, 0.36804088569349713, 0.038960955126418007, 0.1452192169096735, -0.3841115980357346, -0.1280572341237631, 0.2578558832200037, 0.1455829966502885, 0.03356699575928764, 0.03142659895949894, -0.16350444451802307, 0.07996059124513219, -0.07633291495343049, -0.22164941425435244, -0.01721156765189436, 0.0326917247639762, -0.02145345237933927, -0.24371835686680343, -0.03954033839205901, 0.11290563709206052, 0.14018181356368586, 0.03851668799502982, -0.12723450904919043, -0.050841388975580534, 0.0016777566116717127, 0.0008747593810160954, 0.06734110361172094, 0.009368573108481036, -0.13397806778343188, -0.07687541010996533, 0.280663250055578, -0.11695458453355564, -0.243857867601845, 0.055082443630736735, -0.1376188197483619, -0.16300118923083776, 0.18685680545038647, 0.16910104004459248, 0.2804784618318081, -0.02956270683142874, 0.20578030004269546, -0.13205705270585086, 0.13559161895989544, 0.16546551504482826, -0.021687584349678622, 0.1703390737788545, 0.05167661617613501, 0.14302378767687413, 0.15207002392400884, -0.07955977221330007, -0.010616682552629047, -0.40732513591647146, -0.22325385431500358, -0.11859175057874785, 0.15141860601337007, -0.1340319317765534, -0.19055176232424048, 0.37482335393627486, 0.017587951156828138, 0.23242570898599094, 0.13151830743429146, 0.2253716580983665, 0.08400959281457795, -0.02530709118064907, 0.11399921921806203, 0.17994537976466948, 0.1497163953880469, -0.10412936761147445, -0.1828514949315124, -0.005080250909345017, 0.17378850426110956] |
707.4568 | Emergent Quantum Mechanics and Emergent Symmetries | Quantum mechanics is 'emergent' if a statistical treatment of large scale
phenomena in a locally deterministic theory requires the use of quantum
operators. These quantum operators may allow for symmetry transformations that
are not present in the underlying deterministic system. Such theories allow for
a natural explanation of the existence of gauge equivalence classes (gauge
orbits), including the equivalence classes generated by general coordinate
transformations. Thus, local gauge symmetries and general coordinate invariance
could be emergent symmetries, and this might lead to new alleys towards
understanding the flatness problem of the Universe.
| hep-th | quantum mechanics is emergent if a statistical treatment of large scale phenomena in a locally deterministic theory requires the use of quantum operators these quantum operators may allow for symmetry transformations that are not present in the underlying deterministic system such theories allow for a natural explanation of the existence of gauge equivalence classes gauge orbits including the equivalence classes generated by general coordinate transformations thus local gauge symmetries and general coordinate invariance could be emergent symmetries and this might lead to new alleys towards understanding the flatness problem of the universe | [['quantum', 'mechanics', 'is', 'emergent', 'if', 'a', 'statistical', 'treatment', 'of', 'large', 'scale', 'phenomena', 'in', 'a', 'locally', 'deterministic', 'theory', 'requires', 'the', 'use', 'of', 'quantum', 'operators', 'these', 'quantum', 'operators', 'may', 'allow', 'for', 'symmetry', 'transformations', 'that', 'are', 'not', 'present', 'in', 'the', 'underlying', 'deterministic', 'system', 'such', 'theories', 'allow', 'for', 'a', 'natural', 'explanation', 'of', 'the', 'existence', 'of', 'gauge', 'equivalence', 'classes', 'gauge', 'orbits', 'including', 'the', 'equivalence', 'classes', 'generated', 'by', 'general', 'coordinate', 'transformations', 'thus', 'local', 'gauge', 'symmetries', 'and', 'general', 'coordinate', 'invariance', 'could', 'be', 'emergent', 'symmetries', 'and', 'this', 'might', 'lead', 'to', 'new', 'alleys', 'towards', 'understanding', 'the', 'flatness', 'problem', 'of', 'the', 'universe']] | [-0.15182969586053136, 0.20700471418525052, -0.11994108108236738, 0.11469569480370569, -0.11886200888345586, -0.16433780520658373, -0.011318034109021739, 0.31290779619113257, -0.28709281897982175, -0.2829960584640503, 0.07233911718788516, -0.19228549442841145, -0.16118684181255166, 0.14023621730587404, -0.06667438335141371, 0.06249521764845628, 0.008419089968336502, 0.002114859327380343, -0.11334591415336194, -0.20361111533407972, 0.33793253837780945, 0.029434109209155988, 0.29364913949014054, 0.015413572432210101, 0.11281298964193252, 0.0024235366322302625, -0.0030444084373100295, 0.02345390997968776, -0.06892177075916033, 0.10868955433809037, 0.26331983558813354, 0.13912692066767943, 0.21167710383483412, -0.4485947653630991, -0.22718946711139995, 0.1442849761603967, 0.12127158303400906, 0.18342525128821802, -0.06623267877654618, -0.33079611776275153, 0.046995279126112226, -0.11074808218425301, -0.1833745751279386, -0.16000711800172765, 0.004313367651775479, -0.05987866341298365, -0.23441074391746003, 0.07519179888059506, 0.10515940366009169, 0.10435452601750908, -0.047637713498577636, 0.018220401408262147, 0.009043894794202693, 0.0998282846134237, 0.04774209450798757, -0.02566108404678981, 0.12771390730884616, -0.1352159621107959, -0.18290882142584608, 0.46859600297782733, 0.004557432198097282, -0.23536497379055896, 0.214151804143077, -0.09819109970197568, -0.20878619849985547, 0.05958643132243711, 0.14916810804330136, 0.11649484904584191, -0.15015982422451285, 0.17990872042592737, -0.04387702000246424, 0.1117009901765572, 0.03251056391847036, 0.11537014215339339, 0.26760676645916764, 0.04999756713843216, 0.10710774498748714, 0.06736676118453033, 0.054364332989992006, -0.16993661236230526, -0.4030081211670261, -0.18119601207866293, -0.07300775303535731, 0.14789204554820215, -0.11593785568149305, -0.150977615216423, 0.3948904177700372, 0.15117028115808195, 0.15166419537160397, 0.048175850751526327, 0.16955963765149532, 0.1116439406203268, 0.11211803786294616, 0.027636959356681, 0.22631080337273685, 0.1322669294364143, 0.033976311238644565, -0.21020900424691322, 0.027337718345022397, 0.15282290029521708] |
707.4569 | Selective amplification of scars in a chaotic optical fiber | In this letter we propose an original mechanism to select scar modes through
coherent gain amplification in a multimode D-shaped fiber. More precisely, we
numerically demonstrate how scar modes can be amplified by positioning a gain
region in the vicinity of specific points of a short periodic orbit known to
give rise to scar modes.
| nlin.CD nlin.PS physics.optics | in this letter we propose an original mechanism to select scar modes through coherent gain amplification in a multimode dshaped fiber more precisely we numerically demonstrate how scar modes can be amplified by positioning a gain region in the vicinity of specific points of a short periodic orbit known to give rise to scar modes | [['in', 'this', 'letter', 'we', 'propose', 'an', 'original', 'mechanism', 'to', 'select', 'scar', 'modes', 'through', 'coherent', 'gain', 'amplification', 'in', 'a', 'multimode', 'dshaped', 'fiber', 'more', 'precisely', 'we', 'numerically', 'demonstrate', 'how', 'scar', 'modes', 'can', 'be', 'amplified', 'by', 'positioning', 'a', 'gain', 'region', 'in', 'the', 'vicinity', 'of', 'specific', 'points', 'of', 'a', 'short', 'periodic', 'orbit', 'known', 'to', 'give', 'rise', 'to', 'scar', 'modes']] | [-0.18554159378082577, 0.15132973576202693, -0.10064377398653464, 0.03952561598906124, -0.07030578956685284, -0.13588820908387952, 0.08044637885706668, 0.41337829327041453, -0.27353152002800596, -0.21472511416809126, 0.05236904079687189, -0.19526436887681484, -0.21431513388895176, 0.21742937019602818, -0.12660347837584346, -0.00772460705854676, 0.06225284374827011, 0.022104066584936598, 0.012759934179484844, -0.18002791616388342, 0.2503206115216017, 0.06505229347808794, 0.29140042967417024, -0.04873127568174492, 0.08516000634567304, -0.0034095452675087885, 0.06110397812656381, -0.029273405408656056, -0.16913032465699043, 0.09403055083345283, 0.2582923777316782, 0.053663266930644486, 0.3038776391947811, -0.4579155276614157, -0.19687064040282912, 0.07999082550787452, 0.24998558554004624, 0.18262972805056382, -0.03442826341038612, -0.28982535463503817, 0.11244380816986616, -0.13343994751233945, -0.19736033553596247, -0.08145306257700378, 0.0003012282858518037, -0.024916787513277746, -0.298035727949305, 0.010925260711122643, 0.05094714941964908, 0.03269883848049424, 0.02253922318870371, 0.06982027691873637, -0.048439101735129955, 0.08692514890466224, 0.003236956149339676, -0.025645317425104706, 0.13266121035611086, -0.08855264195749028, -0.12170258617790586, 0.3337196360934864, -0.07451411483978683, -0.19651522252878004, 0.14260593017732556, -0.14101966894655066, 0.016956210847605357, 0.23363943147388372, 0.2345770187675953, 0.11618957908993417, -0.1343396163799546, -0.05227009210396897, -0.0084956363520839, 0.19779184831899, 0.1532350383529609, 0.1260120296173475, 0.23717684459618546, 0.1778981367814016, 0.06931756797500632, 0.21733864367812533, -0.13629359325224702, -0.05385633471675894, -0.28929940304634244, -0.10236087869852781, -0.10624520263888619, 0.0487090812953697, -0.02140288349579681, -0.1522662928073921, 0.45665065964514556, 0.12428013669268693, 0.20451196367767724, -0.023689100044694815, 0.27736997041343286, 0.12847206430001692, 0.04930332670813765, 0.04001182102682915, 0.3118099164429375, 0.09951698878272013, 0.06829930983526124, -0.211031040515412, -0.04918064495379275, 0.016654951277781615] |
707.457 | A necessary condition for existence of S-matrix outside perturbation
theory | Using the Maslov--Shvedov method of complex germ, we show that quantum field
theory S-matrix can exist outside perturbation theory in the principal order of
quasiclassical approximation only under the condition that the tangent
symplectic transformation to the evolution operator of non-linear classical
field equation is unitarily implementable in the Fock space. However, the
results of Maslov--Shvedov's book imply that this condition is seemingly always
satisfied.
| hep-th math-ph math.MP | using the maslovshvedov method of complex germ we show that quantum field theory smatrix can exist outside perturbation theory in the principal order of quasiclassical approximation only under the condition that the tangent symplectic transformation to the evolution operator of nonlinear classical field equation is unitarily implementable in the fock space however the results of maslovshvedovs book imply that this condition is seemingly always satisfied | [['using', 'the', 'maslovshvedov', 'method', 'of', 'complex', 'germ', 'we', 'show', 'that', 'quantum', 'field', 'theory', 'smatrix', 'can', 'exist', 'outside', 'perturbation', 'theory', 'in', 'the', 'principal', 'order', 'of', 'quasiclassical', 'approximation', 'only', 'under', 'the', 'condition', 'that', 'the', 'tangent', 'symplectic', 'transformation', 'to', 'the', 'evolution', 'operator', 'of', 'nonlinear', 'classical', 'field', 'equation', 'is', 'unitarily', 'implementable', 'in', 'the', 'fock', 'space', 'however', 'the', 'results', 'of', 'maslovshvedovs', 'book', 'imply', 'that', 'this', 'condition', 'is', 'seemingly', 'always', 'satisfied']] | [-0.17302045752368275, 0.12231707462804421, -0.16326047009271052, 0.06623799616049621, -0.07581535605565896, -0.1197213978166618, -0.04580523908167841, 0.3321405234377062, -0.2868607852253176, -0.1836030576969423, 0.0645149191157774, -0.20760219681653239, -0.22688653745821544, 0.1726480925137857, -0.07666472321937955, 0.04876228297750155, 0.07991791382757207, 0.08765962333898873, -0.11984190291961626, -0.25761051038427957, 0.4079274399324305, -0.0275123584886185, 0.27195438569677727, 0.025321931569903557, 0.11289853993770925, -0.009271276279515217, 0.0680106853297542, 0.020421978743610136, -0.10060081200566538, 0.07459846708095735, 0.26110132882327197, 0.12826715145880976, 0.24945219412505154, -0.4717249866161082, -0.17299197419797854, 0.09352994250458857, 0.14079191200139504, 0.09008706052831951, 0.00869155512006569, -0.2803158497970019, 0.0874123028405602, -0.11392136145057896, -0.21009011748468592, -0.11786922158318616, -0.046332065411473784, -0.05494791385532904, -0.24680464138232527, 0.09348434927920203, 0.11385118050707711, 0.022237349878109637, -0.09965448199756562, -0.022279249637254646, -0.030500474629835003, 0.04524594876501295, 0.028201199217980342, 0.06243009404057548, 0.11623762767495853, -0.1122030700919115, -0.06921982071879837, 0.3668475021563825, -0.07875603750266785, -0.2442988402668446, 0.102850017063911, -0.18685148932438875, -0.13040295150130987, 0.12367260534434564, 0.06184252305695462, 0.12317212422688802, -0.12537049577527104, 0.22426949390431955, -0.06808981579536247, 0.13158889161515241, 0.08537949119058866, 0.022281116695098933, 0.10850235567029033, 0.052494954576508865, 0.08685830602097133, 0.054447499314500464, 0.034633130108612395, -0.20047769399862442, -0.39890157750674654, -0.18427133456700379, -0.1950408165150928, 0.10658795442727823, -0.09543439617291802, -0.2159162098098369, 0.3524636673031464, 0.17700390199417368, 0.12208278242143847, 0.043483800106933194, 0.2760129776738939, 0.21417909423037182, 0.04746059849414797, 0.05888401125631635, 0.24634132338576906, 0.2107805622527228, 0.010008224167875827, -0.2103881677899081, -0.008814419797133832, 0.14877371750180685] |
707.4571 | Photon-assisted spin transport in a two-dimensional electron gas | We study spin-dependent transport in a two-dimensional electron gas subject
to an external step-like potential $V(x)$ and irradiated by an electromagnetic
field (EF). In the absence of EF the electronic spectrum splits into spin
sub-bands originating from the "Rashba" spin-orbit coupling. We show that the
resonant interaction of propagating electrons with the component EF parallel to
the barrier induces a \textit{% non-equilibrium dynamic gap} $(2\Delta_{R})$
between the spin sub-bands. Existence of this gap results in coherent spin-flip
processes that lead to a spin-polarized current and a large magnetoresistance,
i.e the spin valve effect. These effects may be used for controlling spin
transport in semiconducting nanostructures, e.g. spin transistors,
spin-blockade devices etc., by variation of the intensity S and frequency
$\omega $ of the external radiation.
| cond-mat.mes-hall | we study spindependent transport in a twodimensional electron gas subject to an external steplike potential vx and irradiated by an electromagnetic field ef in the absence of ef the electronic spectrum splits into spin subbands originating from the rashba spinorbit coupling we show that the resonant interaction of propagating electrons with the component ef parallel to the barrier induces a textit nonequilibrium dynamic gap 2delta_r between the spin subbands existence of this gap results in coherent spinflip processes that lead to a spinpolarized current and a large magnetoresistance ie the spin valve effect these effects may be used for controlling spin transport in semiconducting nanostructures eg spin transistors spinblockade devices etc by variation of the intensity s and frequency omega of the external radiation | [['we', 'study', 'spindependent', 'transport', 'in', 'a', 'twodimensional', 'electron', 'gas', 'subject', 'to', 'an', 'external', 'steplike', 'potential', 'vx', 'and', 'irradiated', 'by', 'an', 'electromagnetic', 'field', 'ef', 'in', 'the', 'absence', 'of', 'ef', 'the', 'electronic', 'spectrum', 'splits', 'into', 'spin', 'subbands', 'originating', 'from', 'the', 'rashba', 'spinorbit', 'coupling', 'we', 'show', 'that', 'the', 'resonant', 'interaction', 'of', 'propagating', 'electrons', 'with', 'the', 'component', 'ef', 'parallel', 'to', 'the', 'barrier', 'induces', 'a', 'textit', 'nonequilibrium', 'dynamic', 'gap', '2delta_r', 'between', 'the', 'spin', 'subbands', 'existence', 'of', 'this', 'gap', 'results', 'in', 'coherent', 'spinflip', 'processes', 'that', 'lead', 'to', 'a', 'spinpolarized', 'current', 'and', 'a', 'large', 'magnetoresistance', 'ie', 'the', 'spin', 'valve', 'effect', 'these', 'effects', 'may', 'be', 'used', 'for', 'controlling', 'spin', 'transport', 'in', 'semiconducting', 'nanostructures', 'eg', 'spin', 'transistors', 'spinblockade', 'devices', 'etc', 'by', 'variation', 'of', 'the', 'intensity', 's', 'and', 'frequency', 'omega', 'of', 'the', 'external', 'radiation']] | [-0.24759800226013062, 0.2088806996733893, -0.020094921009811927, 0.022114001179484997, -0.0377036379877387, -0.14409896283887508, 0.05153219282203089, 0.39924067260349183, -0.31140534305657314, -0.284401992547924, -0.06761658989362479, -0.29833991462137643, -0.10159087222357227, 0.20357091012278314, 0.0623849240080567, -0.023596138814539928, -0.008632650042361602, -0.06783405703500034, -0.04839266005646044, -0.12175791659884579, 0.30609885218545674, 0.0010416010996644816, 0.2754713931817531, 0.13759759519764078, 0.052885054815106275, 0.06950317610176356, 0.1365538340788789, 0.015346314016032994, -0.08471497865945074, 0.055870102597324826, 0.2401029501130191, -0.1370710256505697, 0.22196466929957884, -0.499775816057998, -0.2132590854828193, 0.0031899411564435417, 0.11702138308411543, 0.1328243302272224, -0.08339734914016009, -0.3033104925757138, 0.00661697963298094, -0.1762431018675367, -0.10405154218620383, -0.045720877000925746, 0.020363878423719083, 0.011015344212376854, -0.27232989270573227, 0.09655145580153458, 0.11092798727965815, 0.03800655802668307, -0.10836558465855821, -0.10460029991828208, -0.08139737115650461, 0.0719779929358179, 0.06814518956300931, 0.054843981271397654, 0.20941889083118942, -0.1454536190897234, -0.15118535177032577, 0.32274958404723736, -0.1379062792899587, -0.15224023087601352, 0.15320864193542763, -0.2089948802921406, -0.0019594391361181813, 0.16556093678241823, 0.15024196869519546, 0.07491740651572562, -0.15106660515974782, 0.11133694113090226, 0.013384504069581749, 0.1292011390659746, 0.05080624413865853, 0.09880011425754888, 0.30095280911697725, 0.14316698439358697, 0.07000888610728145, 0.13143637235848066, -0.18251625011576628, -0.02025431936712769, -0.21783952143164428, -0.1525688585503466, -0.20802739476860782, 0.13042893387165252, -0.008617579187853337, -0.1968137239204432, 0.4498145367261174, 0.15302318904257373, 0.1518773037213378, -0.09403744478884145, 0.2839087846620781, 0.17750005831192361, 0.0683638512845931, 0.03357070745574689, 0.22145002868998515, 0.1925849578138895, 0.09353387305831037, -0.3578699541380402, 0.03206932659798521, -0.07311091558795756] |
707.4572 | The Grand View of Physics | Abdus Salam was known for his `grand views', grand views of science as well
as grand views of society. In this talk the grand view of theoretical physics
is put in perspective.
| hep-th | abdus salam was known for his grand views grand views of science as well as grand views of society in this talk the grand view of theoretical physics is put in perspective | [['abdus', 'salam', 'was', 'known', 'for', 'his', 'grand', 'views', 'grand', 'views', 'of', 'science', 'as', 'well', 'as', 'grand', 'views', 'of', 'society', 'in', 'this', 'talk', 'the', 'grand', 'view', 'of', 'theoretical', 'physics', 'is', 'put', 'in', 'perspective']] | [-0.02571653236373095, 0.09147536364616826, -0.13884035765659064, 0.1821174322431034, -0.03080522862728685, -0.11181434101308696, 0.03489791648462415, 0.2673086766153574, -0.19300137436948717, -0.4114744523540139, 0.0605910130252596, -0.20321792899630964, -0.1994484272727277, 0.0780221666500438, -0.21001847024308518, -0.02072254614904523, -0.060569328161363956, 0.0010006088996306062, -0.06819734271266498, -0.315112802607473, 0.21487068280111998, 0.174410309526138, 0.28399478318169713, 0.02001530467532575, 0.07355962936708238, 0.035636086235172115, -0.037422160647111014, -0.021900052583077922, -0.11716015206184238, 0.14515316151664592, 0.32663052558200434, 0.3050776561140083, 0.3634127944242209, -0.42923665192211047, -0.1334490063600242, 0.004188340713881189, 0.0306954825646244, 0.03729310631752014, -0.05975122205563821, -0.29599430900998414, -0.08401238411897793, -0.1757143657305278, -0.1670491346740164, -0.030109646861092187, -0.03136119554983452, -0.049827038106741384, -0.2129537773435004, 0.03393372902064584, -0.028109016620874172, 0.15732495224801823, -0.06504314122139476, -0.20636969072802458, 0.07584245749603724, 0.13515888243273366, 0.15934128409571713, 0.143379960252787, 0.16572910296963528, -0.18092636393703287, -0.23340350290527567, 0.5283703645691276, 0.08829199950559996, -0.005165497772395611, 0.14644221829075832, -0.13581356128997868, -0.18640788534321473, -0.04241096880286932, 0.11888116239424562, 0.01194891898194328, -0.20623022064683028, 0.18289273710979614, -0.17152189288754016, 0.03171907539945096, 0.05007433833088726, 0.00712771994585637, 0.3921259842463769, 0.2370117191458121, -0.014896132750436664, 0.00833525462076068, -0.0071008536833687685, -0.26456436299486086, -0.35415056999772787, -0.13012249418534338, -0.2191172946477309, 0.08749590871593682, 0.08085754052444827, -0.1123582566215191, 0.3876928461249918, 0.1493366784416139, 0.146428363135783, 0.018738034428679384, 0.24794926564209163, -0.025476022223301698, 0.05021181335905567, -0.09147912041225936, 0.2723401734547224, 0.023052533593727276, 0.22290363781212363, -0.03695722449629102, -0.03639094885147642, 0.17188202735269442] |
707.4573 | Fronts Propagation at the Onset of Plastic Yielding | The existence of a finite threshold, the yield stress, for the onset of
plastic yielding is a universal feature of plasticity. This jamming-unjamming
transition is naturally accounted for by the dynamics of a bistable internal
state field. We show, within the athermal Shear Transformation Zones (STZ)
theory of amorphous plasticity, that the transition is accompanied by the
propagation of plastic fronts. We further show that the mean-field theory
cannot select the velocity of these fronts and go beyond the mean-field
description to include fluctuations and correlations effects, resulting in new
nonlocal terms in the equations. Finally, we demonstrate that the new terms,
with an associated intrinsic lengthscale, provide a velocity selection
mechanism for the plastic fronts.
| cond-mat.mtrl-sci cond-mat.stat-mech | the existence of a finite threshold the yield stress for the onset of plastic yielding is a universal feature of plasticity this jammingunjamming transition is naturally accounted for by the dynamics of a bistable internal state field we show within the athermal shear transformation zones stz theory of amorphous plasticity that the transition is accompanied by the propagation of plastic fronts we further show that the meanfield theory cannot select the velocity of these fronts and go beyond the meanfield description to include fluctuations and correlations effects resulting in new nonlocal terms in the equations finally we demonstrate that the new terms with an associated intrinsic lengthscale provide a velocity selection mechanism for the plastic fronts | [['the', 'existence', 'of', 'a', 'finite', 'threshold', 'the', 'yield', 'stress', 'for', 'the', 'onset', 'of', 'plastic', 'yielding', 'is', 'a', 'universal', 'feature', 'of', 'plasticity', 'this', 'jammingunjamming', 'transition', 'is', 'naturally', 'accounted', 'for', 'by', 'the', 'dynamics', 'of', 'a', 'bistable', 'internal', 'state', 'field', 'we', 'show', 'within', 'the', 'athermal', 'shear', 'transformation', 'zones', 'stz', 'theory', 'of', 'amorphous', 'plasticity', 'that', 'the', 'transition', 'is', 'accompanied', 'by', 'the', 'propagation', 'of', 'plastic', 'fronts', 'we', 'further', 'show', 'that', 'the', 'meanfield', 'theory', 'can', 'not', 'select', 'the', 'velocity', 'of', 'these', 'fronts', 'and', 'go', 'beyond', 'the', 'meanfield', 'description', 'to', 'include', 'fluctuations', 'and', 'correlations', 'effects', 'resulting', 'in', 'new', 'nonlocal', 'terms', 'in', 'the', 'equations', 'finally', 'we', 'demonstrate', 'that', 'the', 'new', 'terms', 'with', 'an', 'associated', 'intrinsic', 'lengthscale', 'provide', 'a', 'velocity', 'selection', 'mechanism', 'for', 'the', 'plastic', 'fronts']] | [-0.12711520530442652, 0.20390170839782823, -0.12497921238661322, 0.03423192896721009, -0.03074140840361261, -0.06038001218699237, 0.029498162924144894, 0.3275147505267722, -0.311549703984593, -0.21749709576814094, 0.04663944245379768, -0.2306303543985909, -0.21517210499120829, 0.13256146178509182, 0.004496175887333786, 0.01546774385894975, -0.0019526419311395695, 0.008668335646432705, -0.06143813965241146, -0.17056131358139026, 0.3050399728390014, 0.045579659967468336, 0.3098032859265486, 0.0597678019434341, 0.11100566728860459, -0.0360382356069998, 0.02137686717363759, 0.08518405954361472, -0.17937921748080432, 0.052123104479824565, 0.23643967922394857, 0.03615390330266494, 0.2685313301367892, -0.47206774059460205, -0.2999840836462557, 0.057462860666947745, 0.1235771336648454, 0.15097876814886546, -0.03478938899859667, -0.25874433508063227, 0.0584889145520253, -0.140967245508457, -0.14925497784239486, -0.09857799199163023, 0.0027013606775918193, 0.06695190177927925, -0.2510131628403806, 0.15970473207789448, 0.11910538469106914, 0.04953533820171132, -0.0996023280482389, -0.03610140282628883, -0.04654346526258139, 0.0633558554527087, 0.03311393834186845, -0.0002503644388455611, 0.17320482609156743, -0.1875015717680351, -0.08948202520354182, 0.3724456555409055, -0.05701177832362059, -0.1461664150492885, 0.1769931240636123, -0.12123997286673532, -0.08135386427733092, 0.21174542120315581, 0.16204224238132373, 0.05486895594920995, -0.1512685635437568, 0.006526359443505032, -0.0001238289360816662, 0.16327981487648863, 0.0194956622321286, 0.010004391949464623, 0.18903487604748234, 0.21662574447890443, 0.024324059948070437, 0.14225479534580412, -0.11095422265989482, -0.12362339640529747, -0.3968797200956406, -0.13629828574947822, -0.1073632719170334, 0.026684704446756184, -0.12597991239939196, -0.21112652107054353, 0.36783301152097875, 0.14948964691482103, 0.18582020526349896, 0.06270277381150259, 0.18486137841788366, 0.12909966091123912, 0.056730188285080224, 0.05237799057036511, 0.3150743928729978, 0.16089038554037738, 0.06333416432110417, -0.2810686921947596, 0.10648321089609407, 0.07862530162350999] |
707.4574 | Ground-state fidelity in one-dimensional gapless model | A general relation between quantum phase transitions and the second
derivative of the fidelity (or the "fidelity susceptibility") is proposed. The
validity and the limitation of the fidelity susceptibility in characterizing
quantum phase transitions is thus established. Moreover, based on the
bosonization method, general formulas of the fidelity and the fidelity
susceptibility are obtained for a class of one-dimensional gapless systems
known as the Tomonaga-Luttinger liquid. Applying these formulas to the
one-dimensional spin-1/2 $XXZ$ model, we find that quantum phase transitions,
even of the Beresinskii-Kosterlitz-Thouless type, can be signaled by the
fidelity susceptibility.
| quant-ph cond-mat.stat-mech | a general relation between quantum phase transitions and the second derivative of the fidelity or the fidelity susceptibility is proposed the validity and the limitation of the fidelity susceptibility in characterizing quantum phase transitions is thus established moreover based on the bosonization method general formulas of the fidelity and the fidelity susceptibility are obtained for a class of onedimensional gapless systems known as the tomonagaluttinger liquid applying these formulas to the onedimensional spin12 xxz model we find that quantum phase transitions even of the beresinskiikosterlitzthouless type can be signaled by the fidelity susceptibility | [['a', 'general', 'relation', 'between', 'quantum', 'phase', 'transitions', 'and', 'the', 'second', 'derivative', 'of', 'the', 'fidelity', 'or', 'the', 'fidelity', 'susceptibility', 'is', 'proposed', 'the', 'validity', 'and', 'the', 'limitation', 'of', 'the', 'fidelity', 'susceptibility', 'in', 'characterizing', 'quantum', 'phase', 'transitions', 'is', 'thus', 'established', 'moreover', 'based', 'on', 'the', 'bosonization', 'method', 'general', 'formulas', 'of', 'the', 'fidelity', 'and', 'the', 'fidelity', 'susceptibility', 'are', 'obtained', 'for', 'a', 'class', 'of', 'onedimensional', 'gapless', 'systems', 'known', 'as', 'the', 'tomonagaluttinger', 'liquid', 'applying', 'these', 'formulas', 'to', 'the', 'onedimensional', 'spin12', 'xxz', 'model', 'we', 'find', 'that', 'quantum', 'phase', 'transitions', 'even', 'of', 'the', 'beresinskiikosterlitzthouless', 'type', 'can', 'be', 'signaled', 'by', 'the', 'fidelity', 'susceptibility']] | [-0.1672693260166774, 0.19096783823483893, -0.025760096912172133, 0.0486957535963826, -0.006480560407683414, -0.18511039445236807, 0.10536419779753252, 0.3204939234200665, -0.21422313016548913, -0.24277826639703445, 0.11149553328336928, -0.2872081595442949, -0.15992210826696326, 0.21221127264421955, 0.029637222640499252, 0.12982315592648042, -0.013489119122706113, 0.07115642926705781, -0.1828498331209024, -0.22537489994479123, 0.2957362049028918, -0.0200373282923954, 0.31965302168241433, 0.08516848288596637, 0.05818614720176625, 0.0044201182612087775, 0.1354564198803517, 0.034319778043095786, -0.14384015776025774, 0.0510174834785322, 0.24554586722966162, 0.01142364959182438, 0.15087879797624004, -0.3607852061990128, -0.23405062832859574, 0.09075473841424951, 0.08592585895350703, 0.15404478864123425, 0.004689553781332428, -0.359225344914262, -0.02434652449402918, -0.17917202118413664, -0.13633978648752135, -0.19520020850443393, -0.060370231062294014, -0.00971664043715454, -0.2546541827620678, 0.2025740798562765, 0.08353796490638327, 0.0809449103951294, -0.021876167886519946, -0.03580645219202564, -0.01880494087073271, 0.12382459212645328, -0.020918832517289106, 0.03763301491797451, 0.08495818907695432, -0.15637886667904513, -0.1685148737723789, 0.3427382647009787, -0.03589656643609526, -0.14222728068469673, 0.14481451085227873, -0.1558097494936358, -0.09513851499024739, 0.09153416717364513, 0.061625103581376295, 0.08720689400109233, -0.14118700779934404, 0.05353267374010356, 0.022850623850019708, 0.19975997172533885, 0.009090189271235978, 0.07027344850407694, 0.21644874294638955, 0.122969478814392, -0.0037711628522443517, 0.25053103913938607, -0.11545772930376873, -0.17314836290985425, -0.2917017101620634, -0.21433731540036138, -0.28515541877958084, 0.05386187347222961, -0.09690803466618227, -0.1526409646556262, 0.43171437401124224, 0.15796498084560998, 0.14547940683100494, 0.07433875769086343, 0.254139966181209, 0.1893576904517969, 0.0194696041064397, 0.05191313158921016, 0.2306118515490364, 0.19904259712715702, 0.07566427617156703, -0.33118914660868753, 0.05941186766190234, 0.10916228286962035] |
707.4575 | Strong covalent bonding between two graphene layers | We show that two graphene layers stacked directly on top of each other (AA
stacking) form strong chemical bonds when the distance between planes is 0.156
nm. Simultaneously, C-C in-plane bonds are considerably weakened from partial
double-bond (0.141 nm) to single bond (0.154 nm). This polymorphic form of
graphene bilayer is meta-stable w.r.t. the one bound by van der Waals forces at
a larger separation (0.335 nm) with an activation energy of 0.16 eV/cell.
Similarly to the structure found in hexaprismane, C forms four single bonds in
a geometry mixing 90^{0} and 120^{0} angles. Intermediate separations between
layers can be stabilized under external anisotropic stresses showing a rich
electronic structure changing from semimetal at van der Waals distance, to
metal when compressed, to wide gap semiconductor at the meta-stable minimum.
| cond-mat.mtrl-sci | we show that two graphene layers stacked directly on top of each other aa stacking form strong chemical bonds when the distance between planes is 0156 nm simultaneously cc inplane bonds are considerably weakened from partial doublebond 0141 nm to single bond 0154 nm this polymorphic form of graphene bilayer is metastable wrt the one bound by van der waals forces at a larger separation 0335 nm with an activation energy of 016 evcell similarly to the structure found in hexaprismane c forms four single bonds in a geometry mixing 900 and 1200 angles intermediate separations between layers can be stabilized under external anisotropic stresses showing a rich electronic structure changing from semimetal at van der waals distance to metal when compressed to wide gap semiconductor at the metastable minimum | [['we', 'show', 'that', 'two', 'graphene', 'layers', 'stacked', 'directly', 'on', 'top', 'of', 'each', 'other', 'aa', 'stacking', 'form', 'strong', 'chemical', 'bonds', 'when', 'the', 'distance', 'between', 'planes', 'is', '0156', 'nm', 'simultaneously', 'cc', 'inplane', 'bonds', 'are', 'considerably', 'weakened', 'from', 'partial', 'doublebond', '0141', 'nm', 'to', 'single', 'bond', '0154', 'nm', 'this', 'polymorphic', 'form', 'of', 'graphene', 'bilayer', 'is', 'metastable', 'wrt', 'the', 'one', 'bound', 'by', 'van', 'der', 'waals', 'forces', 'at', 'a', 'larger', 'separation', '0335', 'nm', 'with', 'an', 'activation', 'energy', 'of', '016', 'evcell', 'similarly', 'to', 'the', 'structure', 'found', 'in', 'hexaprismane', 'c', 'forms', 'four', 'single', 'bonds', 'in', 'a', 'geometry', 'mixing', '900', 'and', '1200', 'angles', 'intermediate', 'separations', 'between', 'layers', 'can', 'be', 'stabilized', 'under', 'external', 'anisotropic', 'stresses', 'showing', 'a', 'rich', 'electronic', 'structure', 'changing', 'from', 'semimetal', 'at', 'van', 'der', 'waals', 'distance', 'to', 'metal', 'when', 'compressed', 'to', 'wide', 'gap', 'semiconductor', 'at', 'the', 'metastable', 'minimum']] | [-0.15227885662898188, 0.20371560363685148, -0.00888113992914441, -0.0062823123544148984, 0.010145485437533353, -0.22954317050243844, 0.08920547954403446, 0.41680948545945284, -0.34814083050878253, -0.3110877401759353, -0.08660846344901074, -0.3394713072266313, -0.07600294640269567, 0.1290966264105009, 0.08005303253503371, -0.033204600132876294, 0.02068335877265781, -0.10473004295727151, -0.10021616287667712, -0.21042958234374964, 0.26099453462666133, 0.02855922743992778, 0.30575938826223137, 0.09847375481649578, 0.0016357594595319824, -0.006412152046323172, 0.16687859657395165, 0.011814418456197018, -0.19693094874156714, 0.10752829995908542, 0.21361853300732037, -0.14844143848949898, 0.2376924632662849, -0.4209243713012256, -0.13650278948580308, -0.01988583686943457, 0.10874976997365593, 0.14091094314790098, 0.010225009813439101, -0.27383005782030523, 0.1105918353277957, -0.1460480219211604, -0.05560490292555187, 0.01277139314879605, 0.03820838381216163, 0.02698242690803454, -0.2328532918700148, 0.10396683637009119, 0.0021704762166336877, 0.08427338611909363, -0.06499137965874979, -0.16933538005832816, -0.14632743665060843, 0.04476179603489072, -0.03528287866720348, 0.05317208862015832, 0.1970624250898254, -0.07767047496781743, -0.012431042840034934, 0.3769174705957994, -0.07699680088069272, -0.06320526140916627, 0.20393098159547662, -0.10864839255373226, -0.06052511839880026, 0.18562045539874816, 0.07818865857495894, 0.06074663647450507, -0.1362233986640149, 0.05665931375506261, 0.034896805675089126, 0.27386086966726, 0.2070614369768009, 0.03267898760714161, 0.2627156795060728, 0.13468488379567134, 0.07081331298104487, 0.1396034834301645, -0.1320339625062843, -0.051291797433805186, -0.19681525701889768, -0.1561873194209511, -0.16322782878887665, 0.08813752526475582, -0.1486444272842391, -0.21282834189878486, 0.31484920926959603, 0.05145091208942176, 0.1998869899462079, -0.019513105937221553, 0.21144122672194499, 0.016581871550442884, 0.13188768146665097, -0.001300121843087254, 0.29557258199201897, 0.15248865568173642, 0.09225209173382609, -0.16864034082027501, 0.0790904033165134, 0.02936424432482454] |
707.4576 | Heat kernel estimates for the Grusin operator | We study the geometry associated to the Grusin operator
G=\Delta_{x}+|x|^{2}\partial_{u}^{2} on \mathbb{R}_{x}^{n}\times\mathbb{R}_{u},
to obtain heat kernel estimates for this operator. The main work is to find the
shortest geodesics connecting two given points in $\mathbb{R}^{n+1}$. This
gives the Carnot-Caratheodory distance d_{CC}, associated to this operator. The
main result in the second part is to give Gaussian bounds for the heat kernel
K_{t} in terms of the Carnot-Caratheodory distance. In particular we obtain the
following estimate
|k_{t}(\zeta,\eta)|\leq C t^{-\frac{n}{2}-1}\min(1+\frac{d_{CC}(\zeta,\eta)}
{|x+\xi|},1+\frac{d_{CC}(\zeta,\eta)^{2}}{4t})^{\alpha}e^{-\frac{1}{4t}d_{CC}
(\zeta,\eta)^{2}}
for all $\zeta=(x,u_{1}), \eta=(\xi,u)\in\mathbb{R}^{n+1}$, where $\alpha =
\max{\frac{n}{2}-1,0}$. Here the homogeneous dimension is q=n+2, so that
$\frac{n}{2}-1=\frac{q-4}{2}$. This shows that our result for $n\geq2$
corresponds with the result on the Heisenberg group, which was given by Beals,
Gaveau, Greiner in [1].
| math.AP math.DG | we study the geometry associated to the grusin operator gdelta_xx2partial_u2 on mathbbr_xntimesmathbbr_u to obtain heat kernel estimates for this operator the main work is to find the shortest geodesics connecting two given points in mathbbrn1 this gives the carnotcaratheodory distance d_cc associated to this operator the main result in the second part is to give gaussian bounds for the heat kernel k_t in terms of the carnotcaratheodory distance in particular we obtain the following estimate k_tzetaetaleq c tfracn21min1fracd_cczetaeta xxi1fracd_cczetaeta24talphaefrac14td_cc zetaeta2 for all zetaxu_1 etaxiuinmathbbrn1 where alpha maxfracn210 here the homogeneous dimension is qn2 so that fracn21fracq42 this shows that our result for ngeq2 corresponds with the result on the heisenberg group which was given by beals gaveau greiner in 1 | [['we', 'study', 'the', 'geometry', 'associated', 'to', 'the', 'grusin', 'operator', 'gdelta_xx2partial_u2', 'on', 'mathbbr_xntimesmathbbr_u', 'to', 'obtain', 'heat', 'kernel', 'estimates', 'for', 'this', 'operator', 'the', 'main', 'work', 'is', 'to', 'find', 'the', 'shortest', 'geodesics', 'connecting', 'two', 'given', 'points', 'in', 'mathbbrn1', 'this', 'gives', 'the', 'carnotcaratheodory', 'distance', 'd_cc', 'associated', 'to', 'this', 'operator', 'the', 'main', 'result', 'in', 'the', 'second', 'part', 'is', 'to', 'give', 'gaussian', 'bounds', 'for', 'the', 'heat', 'kernel', 'k_t', 'in', 'terms', 'of', 'the', 'carnotcaratheodory', 'distance', 'in', 'particular', 'we', 'obtain', 'the', 'following', 'estimate', 'k_tzetaetaleq', 'c', 'tfracn21min1fracd_cczetaeta', 'xxi1fracd_cczetaeta24talphaefrac14td_cc', 'zetaeta2', 'for', 'all', 'zetaxu_1', 'etaxiuinmathbbrn1', 'where', 'alpha', 'maxfracn210', 'here', 'the', 'homogeneous', 'dimension', 'is', 'qn2', 'so', 'that', 'fracn21fracq42', 'this', 'shows', 'that', 'our', 'result', 'for', 'ngeq2', 'corresponds', 'with', 'the', 'result', 'on', 'the', 'heisenberg', 'group', 'which', 'was', 'given', 'by', 'beals', 'gaveau', 'greiner', 'in', '1']] | [-0.11282555300254966, 0.06178947746161824, -0.05331586856638717, 0.05368983079940429, -0.07741693707148188, -0.07175403870816265, 0.009922875052265754, 0.3489776481569649, -0.2732028717079383, -0.21215577994551615, 0.10534563088880974, -0.3100344388806653, -0.12130946998438737, 0.21260033490867397, -0.1009198014241443, 0.008970658338376295, 0.05080633255365853, 0.11581474925591567, -0.06114737242112093, -0.221895506083269, 0.4056526839419782, 0.015239306055357523, 0.19319008037047547, 0.08800835022430814, 0.07730826987475853, 0.006794931240832415, -0.02392137085009262, -0.03745559885854197, -0.2086640474758879, 0.14488259421348154, 0.23181215582293607, 0.06070329891474239, 0.2309111835887638, -0.33966307486755615, -0.1866312467789051, 0.14632180482410242, 0.11191632780115877, 0.04067977101250473, 0.007395730108005282, -0.251700763046637, 0.11000828645583764, -0.09215586974120168, -0.16792561995979643, -0.01762925475731353, 0.05415870903373182, 0.013387474277117681, -0.276713333936913, 0.08649017175259156, 0.14165883528712753, 0.0004949690164806687, -0.07543415228279185, -0.09938690429292271, 0.032132363758511216, 0.11045572080618972, 0.03917178948775421, 0.11721816279699103, 0.03164288893159235, -0.04589371898463954, -0.09130250317018444, 0.34519055993600845, -0.08482914712175588, -0.22926255065956475, 0.13225114130780588, -0.19550542014207098, -0.12780218677612665, 0.032726879719052915, 0.14029956904727373, 0.12493404742574023, -0.14836901984238457, 0.140831027941552, -0.07269585975576366, 0.09954613132106367, 0.06715066649158981, -0.004134778229293422, 0.05010796198621392, 0.09979471617604597, 0.16762207538133192, 0.1898909337235458, -0.05296271566897805, -0.07979175310895265, -0.37318348571240345, -0.2148461081305188, -0.2175172405245618, 0.10047331546154743, -0.14572027693807243, -0.1729717551606542, 0.3856801859964834, 0.14017638026640933, 0.2538117460523532, 0.09414257655446809, 0.24857253335834106, 0.15222988380271524, 0.04090677823753871, 0.14278735207648355, 0.21851983978891762, 0.15435165786793648, 0.07195986763826598, -0.20024495706572545, 0.030881940126614906, 0.1738512690013675] |
707.4577 | The influence of self-citation corrections on Egghe's g index | The g index was introduced by Leo Egghe as an improvement of Hirsch's index h
for measuring the overall citation record of a set of articles. It better takes
into account the highly skewed frequency distribution of citations than the h
index. I propose to sharpen this g index by excluding the self-citations. I
have worked out nine practical cases in physics and compare the h and g values
with and without self-citations. As expected, the g index characterizes the
data set better than the h index. The influence of the self-citations appears
to be more significant for the g index than for the h index.
| physics.soc-ph | the g index was introduced by leo egghe as an improvement of hirschs index h for measuring the overall citation record of a set of articles it better takes into account the highly skewed frequency distribution of citations than the h index i propose to sharpen this g index by excluding the selfcitations i have worked out nine practical cases in physics and compare the h and g values with and without selfcitations as expected the g index characterizes the data set better than the h index the influence of the selfcitations appears to be more significant for the g index than for the h index | [['the', 'g', 'index', 'was', 'introduced', 'by', 'leo', 'egghe', 'as', 'an', 'improvement', 'of', 'hirschs', 'index', 'h', 'for', 'measuring', 'the', 'overall', 'citation', 'record', 'of', 'a', 'set', 'of', 'articles', 'it', 'better', 'takes', 'into', 'account', 'the', 'highly', 'skewed', 'frequency', 'distribution', 'of', 'citations', 'than', 'the', 'h', 'index', 'i', 'propose', 'to', 'sharpen', 'this', 'g', 'index', 'by', 'excluding', 'the', 'selfcitations', 'i', 'have', 'worked', 'out', 'nine', 'practical', 'cases', 'in', 'physics', 'and', 'compare', 'the', 'h', 'and', 'g', 'values', 'with', 'and', 'without', 'selfcitations', 'as', 'expected', 'the', 'g', 'index', 'characterizes', 'the', 'data', 'set', 'better', 'than', 'the', 'h', 'index', 'the', 'influence', 'of', 'the', 'selfcitations', 'appears', 'to', 'be', 'more', 'significant', 'for', 'the', 'g', 'index', 'than', 'for', 'the', 'h', 'index']] | [-0.06869951272185645, 0.10534910511190868, -0.07259110783947245, 0.06154106628865812, -0.08641687371188177, -0.13448146226780736, 0.0799426187284484, 0.3818622762513048, -0.17891606942855948, -0.4071972288261607, 0.03554296522853755, -0.290183095604111, -0.07738254806202538, 0.19520273224784518, -0.08916920009684169, -0.03847580791090259, 0.03465535285232483, 0.06761425315758146, 0.0076617148950836565, -0.25733827565190437, 0.275863255286273, 0.09348930834072097, 0.26877945712064655, 0.011674739701567956, -0.021721419251198828, -0.005128988444822717, -0.14308250588277038, 0.05506745207833962, -0.1502039932188982, 0.11452578487893883, 0.21078279289364252, 0.12334939028259437, 0.30174310992138004, -0.28384581134426146, -0.21931533352032584, 0.13917843516880893, 0.09837496350739011, -0.04571958159026251, 0.01882912676914854, -0.26136865915032104, 0.10141301706964853, -0.2016435195604023, -0.09281550189655907, -0.008249190700364537, 0.177988515428777, -0.04974616954832355, -0.2591245752794422, 0.06378122340483626, 0.054671876861731396, 0.08017991893520614, 0.03655385822145585, -0.21471784826596532, -0.06099524573458113, 0.13507649237026442, 0.04940375448907462, 0.010950630702043199, 0.10239222122329937, -0.13301386549972208, -0.100604729217319, 0.4353201287394425, -0.1160037854184201, -0.1298648621359805, 0.07916889535394972, -0.1673667251729881, -0.11277043248525653, 0.10888958979784599, 0.13924978093578005, 0.09316067481281692, -0.054968036359773494, 0.0661856993875809, -0.03336071625641846, 0.1698033967283818, 0.09492085987420858, -0.013232424811301928, 0.11740479800182413, 0.08921041179152935, 0.08792727331538631, 0.1386185383219887, -0.07223176230228383, 0.04875137363472637, -0.26076024967324835, -0.16292385593548697, -0.15972892542035794, 0.06157832017238691, -0.16679191642579785, -0.13645690891294265, 0.4497186798198184, 0.1103466068644885, 0.17703799392922587, 0.026973640142043807, 0.208374667892953, 0.14953122995733414, 0.07351167572256977, 0.11077673953764562, 0.2076880413828031, 0.13240870661409748, 0.06643695009099145, -0.1363983006427451, 0.10187514983381163, 0.03752558696839326] |
707.4578 | Update on Counting Valence Quarks at RHIC | We update our former analysis of the Nuclear Modification Factors (NMF) for
different hadron species at RHIC and LHC. This update is motivated by the new
experimental data from STAR which presents differences with the preliminary
data used to fix some of the parameters in our model. The main change is the
use of AKK fragmentation functions for the hard part of the spectrum and minor
adjustments of the coalescence (soft) contribution. We confirm that observation
of the NMF for the f_0 meson can shed light on its quark composition.
| hep-ph | we update our former analysis of the nuclear modification factors nmf for different hadron species at rhic and lhc this update is motivated by the new experimental data from star which presents differences with the preliminary data used to fix some of the parameters in our model the main change is the use of akk fragmentation functions for the hard part of the spectrum and minor adjustments of the coalescence soft contribution we confirm that observation of the nmf for the f_0 meson can shed light on its quark composition | [['we', 'update', 'our', 'former', 'analysis', 'of', 'the', 'nuclear', 'modification', 'factors', 'nmf', 'for', 'different', 'hadron', 'species', 'at', 'rhic', 'and', 'lhc', 'this', 'update', 'is', 'motivated', 'by', 'the', 'new', 'experimental', 'data', 'from', 'star', 'which', 'presents', 'differences', 'with', 'the', 'preliminary', 'data', 'used', 'to', 'fix', 'some', 'of', 'the', 'parameters', 'in', 'our', 'model', 'the', 'main', 'change', 'is', 'the', 'use', 'of', 'akk', 'fragmentation', 'functions', 'for', 'the', 'hard', 'part', 'of', 'the', 'spectrum', 'and', 'minor', 'adjustments', 'of', 'the', 'coalescence', 'soft', 'contribution', 'we', 'confirm', 'that', 'observation', 'of', 'the', 'nmf', 'for', 'the', 'f_0', 'meson', 'can', 'shed', 'light', 'on', 'its', 'quark', 'composition']] | [-0.03438913380313251, 0.11676505321843757, -0.17134897196148005, 0.08193227272713557, -0.08292225447690321, -0.061339017329737545, 0.05000920355733898, 0.3594380851628052, -0.2463256818552812, -0.28197709801024756, 0.07453204117482529, -0.2836369592489468, -0.057552232220768926, 0.148263012449671, -0.007370060144199266, 0.06925175804580148, 0.11584492342857024, -0.0060453436078710685, -0.05849124569601069, -0.22850213054981497, 0.36960275551537053, 0.06327248619765871, 0.18515809727573973, 0.13643240896571013, 0.03728778025057788, 0.0347269450676524, -0.09342859802353713, -0.06332233144591252, -0.10303880081604196, 0.1168574542997198, 0.21106554980376838, 0.15484025031716253, 0.17202344824456506, -0.3741037018183205, -0.16823448117356748, 0.0921358335038854, 0.08889303710570352, 0.08736787632288825, -0.06592077036103648, -0.22688684039231805, 0.08743404942150745, -0.1878635175849518, -0.12409367873333395, -0.0813170446910792, -0.009767741430550814, 0.023633807204249832, -0.29781662026006317, 0.07389159303986365, 0.018184485811636678, 0.008851479718254672, -0.06511132473048444, -0.2402895108020554, 0.013865758618339896, 0.10281571633596387, 0.11796911997694728, 0.07092198444426888, 0.15297254998133414, -0.1495966692067062, -0.11858888038744529, 0.38302840878152183, -0.04469852616182632, -0.13827800666266638, 0.1731880974697156, -0.16117331036883925, -0.21798429881843429, 0.11534898618443144, 0.2084920666490992, 0.07543061001536747, -0.14531320256905422, 0.037214143065890916, -0.037438373691919775, 0.19271652872363726, 0.034476605471637514, -0.002281653829332855, 0.18163595729404025, 0.21882780333980917, -0.018897558418878666, 0.12658077928030656, -0.08330463484809217, -0.06559070240602725, -0.37117514411608377, -0.08936397655052133, -0.16791311419672436, 0.0020693279828669295, -0.10706817024458562, -0.09496166018976106, 0.4495143649685714, 0.14224740224437685, 0.2687248770458003, 0.013651094597298652, 0.32527078948915006, 0.06943878093411007, 0.0929657677705917, 0.061633834770570196, 0.28661510120307665, 0.12463645374454144, 0.15327905100356373, -0.28807085076502215, 0.09399871555053525, 0.017050815761710206] |
707.4579 | Magnetic Field Structures of BL Lac Objects on Decaparsec Scales | Relatively few Very Long Baseline Interferometry (VLBI) polarization
observations have been carried out at 18 cm. The importance of such
observations lies in their ability to reveal information about the jet magnetic
({\bf B}) field structure and the environment of the jet on scales intermediate
between those probed by higher-frequency VLBI and connected-element
interferometers such as the Very Large Array. We have obtained polarization
observations of 34 BL Lac objects with the Very Long Baseline Array (VLBA), at
4 separate wavelengths in the 18-20 cm band. The 18-cm jets typically extend to
tens of parsecs. In some cases, the decaparsec jet is a continuation of the jet
on smaller scales, while in others, we see appreciable bending. We have
constructed Faraday rotation-measure maps and used them to study the jet {\bf
B} field structures and distribution of thermal plasma around the jets. The
Faraday rotation is typically large at these wavelengths, and knowledge of the
rotation-measure distribution is essential to derive the {\bf B} field
structures of the jets. The high sensitivity of these observations to Faraday
rotation makes them an effective tool for studies of possible interactions
between the jets and the media through which they propagate.
| astro-ph | relatively few very long baseline interferometry vlbi polarization observations have been carried out at 18 cm the importance of such observations lies in their ability to reveal information about the jet magnetic bf b field structure and the environment of the jet on scales intermediate between those probed by higherfrequency vlbi and connectedelement interferometers such as the very large array we have obtained polarization observations of 34 bl lac objects with the very long baseline array vlba at 4 separate wavelengths in the 1820 cm band the 18cm jets typically extend to tens of parsecs in some cases the decaparsec jet is a continuation of the jet on smaller scales while in others we see appreciable bending we have constructed faraday rotationmeasure maps and used them to study the jet bf b field structures and distribution of thermal plasma around the jets the faraday rotation is typically large at these wavelengths and knowledge of the rotationmeasure distribution is essential to derive the bf b field structures of the jets the high sensitivity of these observations to faraday rotation makes them an effective tool for studies of possible interactions between the jets and the media through which they propagate | [['relatively', 'few', 'very', 'long', 'baseline', 'interferometry', 'vlbi', 'polarization', 'observations', 'have', 'been', 'carried', 'out', 'at', '18', 'cm', 'the', 'importance', 'of', 'such', 'observations', 'lies', 'in', 'their', 'ability', 'to', 'reveal', 'information', 'about', 'the', 'jet', 'magnetic', 'bf', 'b', 'field', 'structure', 'and', 'the', 'environment', 'of', 'the', 'jet', 'on', 'scales', 'intermediate', 'between', 'those', 'probed', 'by', 'higherfrequency', 'vlbi', 'and', 'connectedelement', 'interferometers', 'such', 'as', 'the', 'very', 'large', 'array', 'we', 'have', 'obtained', 'polarization', 'observations', 'of', '34', 'bl', 'lac', 'objects', 'with', 'the', 'very', 'long', 'baseline', 'array', 'vlba', 'at', '4', 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707.458 | Note on edge-colored graphs and digraphs without properly colored cycles | We study the following two functions: d(n,c) and $\vec{d}(n,c)$; d(n,c)
($\vec{d}(n,c)$) is the minimum number k such that every c-edge-colored
undirected (directed) graph of order n and minimum monochromatic degree
(out-degree) at least k has a properly colored cycle. Abouelaoualim et al.
(2007) stated a conjecture which implies that d(n,c)=1. Using a recursive
construction of c-edge-colored graphs with minimum monochromatic degree p and
without properly colored cycles, we show that $d(n,c)\ge {1 \over c}(\log_cn
-\log_c\log_cn)$ and, thus, the conjecture does not hold. In particular, this
inequality significantly improves a lower bound on $\vec{d}(n,2)$ obtained by
Gutin, Sudakov and Yeo in 1998.
| cs.DM | we study the following two functions dnc and vecdnc dnc vecdnc is the minimum number k such that every cedgecolored undirected directed graph of order n and minimum monochromatic degree outdegree at least k has a properly colored cycle abouelaoualim et al 2007 stated a conjecture which implies that dnc1 using a recursive construction of cedgecolored graphs with minimum monochromatic degree p and without properly colored cycles we show that dncge 1 over clog_cn log_clog_cn and thus the conjecture does not hold in particular this inequality significantly improves a lower bound on vecdn2 obtained by gutin sudakov and yeo in 1998 | [['we', 'study', 'the', 'following', 'two', 'functions', 'dnc', 'and', 'vecdnc', 'dnc', 'vecdnc', 'is', 'the', 'minimum', 'number', 'k', 'such', 'that', 'every', 'cedgecolored', 'undirected', 'directed', 'graph', 'of', 'order', 'n', 'and', 'minimum', 'monochromatic', 'degree', 'outdegree', 'at', 'least', 'k', 'has', 'a', 'properly', 'colored', 'cycle', 'abouelaoualim', 'et', 'al', '2007', 'stated', 'a', 'conjecture', 'which', 'implies', 'that', 'dnc1', 'using', 'a', 'recursive', 'construction', 'of', 'cedgecolored', 'graphs', 'with', 'minimum', 'monochromatic', 'degree', 'p', 'and', 'without', 'properly', 'colored', 'cycles', 'we', 'show', 'that', 'dncge', '1', 'over', 'clog_cn', 'log_clog_cn', 'and', 'thus', 'the', 'conjecture', 'does', 'not', 'hold', 'in', 'particular', 'this', 'inequality', 'significantly', 'improves', 'a', 'lower', 'bound', 'on', 'vecdn2', 'obtained', 'by', 'gutin', 'sudakov', 'and', 'yeo', 'in', '1998']] | [-0.169959098270904, 0.15487216690415015, -0.059618511492566716, 0.020654497753267966, -0.04489453487418672, -0.16131070400438002, 0.07008999095408507, 0.3597632685641167, -0.1935149136109538, -0.37734851117936835, 0.02844415984356836, -0.26697246130976465, -0.17594233458931807, 0.12612734404542753, -0.11527219876867309, 0.023570418584420876, 0.11294220061472027, 0.033098620127245626, 0.062413378102925195, -0.33630791527716075, 0.23862505016187507, 0.01594620913026794, 0.16283752843337032, 0.12927130091014088, 0.08178670991272215, 0.08827050652615326, 0.002792353075878915, 0.09273979049776832, -0.1880406589854868, 0.08393866821412518, 0.20826521939197454, 0.18896726326095642, 0.23325870730864104, -0.3444401365689187, -0.2143425677314035, 0.22939446863908602, 0.09048925559487074, 0.034928266884714, 0.048877489416339306, -0.1666653651233402, 0.17894849235252028, -0.12479966186438887, -0.10779352770036747, 0.03856459701614034, 0.10564425698311258, 0.006545926662041775, -0.30583664723321474, 0.003833703942076173, 0.19577935922850845, 0.056552026641144545, 0.08179316505719657, -0.20254970517169724, -0.06807859711128697, 0.05363771592276872, -0.1000990629426494, 0.12279864982201127, -0.03246116119509523, -0.10809784315736784, -0.1808725982624036, 0.2852213983874648, -0.07932870766593604, -0.08002319970037988, 0.12586976357257515, -0.1338954938785924, -0.20788644591686867, 0.14239546860147628, 0.10884404341409844, 0.14129028668106403, -0.07110239356951488, 0.1392697133443078, -0.1553316278713605, 0.15848814153302743, 0.2081887685363331, -0.012592386098838943, 0.07201972690420927, 0.03341323607701368, 0.15920978799832844, 0.14025534170689763, 0.016687632257980044, 0.003823294914552882, -0.2773924159006246, -0.11986282557062554, -0.24143920402463165, 0.09217734777344196, -0.15608049157468015, -0.11943002827265249, 0.3702907240699216, 0.08655906465625571, 0.19880629289815183, 0.15745067990119618, 0.21783960778867045, 0.10684057905949572, 0.014672360394240146, 0.2206098810288935, 0.14565456991073905, 0.17299762240270533, 0.009674000702748296, -0.15942482686831908, 0.0727732497673001, 0.163113757021605] |
707.4581 | Physical conditions in CaFe interstellar clouds | Interstellar clouds that exhibit strong Ca I and Fe I lines were called CaFe
clouds. The ionisation equilibrium equations were used to model the column
densities of Ca II, Ca I, K I, Na I, Fe I and Ti II in CaFe clouds. The
chemical composition of CaFe clouds is that of the Solar System and no
depletion of elements onto dust grains is seen. The CaFe clouds have high
electron densities n=1 cm^-3 that leads to high column densities of neutral Ca
and Fe.
| astro-ph | interstellar clouds that exhibit strong ca i and fe i lines were called cafe clouds the ionisation equilibrium equations were used to model the column densities of ca ii ca i k i na i fe i and ti ii in cafe clouds the chemical composition of cafe clouds is that of the solar system and no depletion of elements onto dust grains is seen the cafe clouds have high electron densities n1 cm3 that leads to high column densities of neutral ca and fe | [['interstellar', 'clouds', 'that', 'exhibit', 'strong', 'ca', 'i', 'and', 'fe', 'i', 'lines', 'were', 'called', 'cafe', 'clouds', 'the', 'ionisation', 'equilibrium', 'equations', 'were', 'used', 'to', 'model', 'the', 'column', 'densities', 'of', 'ca', 'ii', 'ca', 'i', 'k', 'i', 'na', 'i', 'fe', 'i', 'and', 'ti', 'ii', 'in', 'cafe', 'clouds', 'the', 'chemical', 'composition', 'of', 'cafe', 'clouds', 'is', 'that', 'of', 'the', 'solar', 'system', 'and', 'no', 'depletion', 'of', 'elements', 'onto', 'dust', 'grains', 'is', 'seen', 'the', 'cafe', 'clouds', 'have', 'high', 'electron', 'densities', 'n1', 'cm3', 'that', 'leads', 'to', 'high', 'column', 'densities', 'of', 'neutral', 'ca', 'and', 'fe']] | [-0.043016261519754635, 0.15862407067461926, 0.04590686263845247, 0.013718194298117476, 0.07119019581552814, -0.17019598159719915, 0.07161607156808981, 0.4849912706543418, -0.17821543557459818, -0.28164136884186197, -0.06449138090041849, -0.3249507173238432, 0.028467901072957935, 0.003718660045963, -0.02247844830922344, -0.11139952864717034, -0.020705160257570885, -0.17213384457863867, -0.056649918550187174, -0.24804402103866724, 0.2929172225406065, 0.056762855393154656, 0.190650046353831, 0.006357322184725062, 0.011370134930920732, -0.23051132230252466, 0.006514723609913798, 0.10803665628328044, -0.13592732551855186, 0.10929267956491778, 0.18744766983915778, 0.18052422658485526, 0.15578692415181328, -0.45927892962799355, -0.2012952683472951, 0.0019096141188021968, 0.17521860578700024, 0.0369091358528856, -0.06749023894012413, -0.20086555758162455, 0.06428195174564333, -0.12273596647907706, -0.15914717129267314, 0.08940400551347172, 0.12596538117265, 0.10412359742776436, -0.2831400860648821, 0.03780156970024109, 0.03207395489820663, 0.2189848040107309, -0.11008250763749375, -0.23129748988430948, -0.12178572460132486, 0.02707720072392155, -0.04893418553367476, -0.047663651264327415, 0.2346801066387664, -0.08998056635917986, 0.0841947507332353, 0.47226054975215126, -0.16806667525430813, 0.0176763948491391, 0.25391335881808225, -0.20220448943950675, -0.15852794909904547, 0.2655027721077204, 0.0777848387904027, 0.10190040723365897, -0.08576889992417658, 0.07722386060118237, -0.08581919972510899, 0.1786041028359357, 0.02721627650453764, 0.04794162142172675, 0.25067948935663, 0.0019736381247639654, 0.0507036805508987, -0.036846570245346384, -0.2722569928230608, -0.04714432960266576, -0.20818944111849894, -0.26665824772242236, -0.09249348527039675, 0.0625185661154854, -0.12815924841184717, -0.14920982022714965, 0.24542866545345854, 0.1634946770966053, 0.2391215680495781, -0.06889219503192341, 0.2551072213360492, 0.11979321206865065, 0.05380897294072544, 0.12341605969430769, 0.212696702296243, 0.18694372247794971, 0.2313972669927513, -0.28057488510932993, 0.1503341380123268, 0.08004960230387309] |
707.4582 | Hall Effect in Granular Metals: Weak Localization Corrections | We study the effects of localization on the Hall transport in a granular
system at large tunneling conductance $g_{T}\gg 1$ corresponding to the
metallic regime. We show that the first-order in 1/g_T weak localization
correction to Hall resistivity of a two- or three-dimensional granular array
vanishes identically, $\de \rho_{xy}^{WL}=0$. This result is in agreement with
the one for ordinary disordered metals. Being due to an exact cancellation, our
result holds for arbitrary relevant values of temperature T and magnetic field
H, both in the ``homogeneous'' regime of very low T and H corresponding to
ordinary disordered metals and in the ``structure-dependent'' regime of higher
values of T or H.
| cond-mat.mes-hall cond-mat.str-el | we study the effects of localization on the hall transport in a granular system at large tunneling conductance g_tgg 1 corresponding to the metallic regime we show that the firstorder in 1g_t weak localization correction to hall resistivity of a two or threedimensional granular array vanishes identically de rho_xywl0 this result is in agreement with the one for ordinary disordered metals being due to an exact cancellation our result holds for arbitrary relevant values of temperature t and magnetic field h both in the homogeneous regime of very low t and h corresponding to ordinary disordered metals and in the structuredependent regime of higher values of t or h | [['we', 'study', 'the', 'effects', 'of', 'localization', 'on', 'the', 'hall', 'transport', 'in', 'a', 'granular', 'system', 'at', 'large', 'tunneling', 'conductance', 'g_tgg', '1', 'corresponding', 'to', 'the', 'metallic', 'regime', 'we', 'show', 'that', 'the', 'firstorder', 'in', '1g_t', 'weak', 'localization', 'correction', 'to', 'hall', 'resistivity', 'of', 'a', 'two', 'or', 'threedimensional', 'granular', 'array', 'vanishes', 'identically', 'de', 'rho_xywl0', 'this', 'result', 'is', 'in', 'agreement', 'with', 'the', 'one', 'for', 'ordinary', 'disordered', 'metals', 'being', 'due', 'to', 'an', 'exact', 'cancellation', 'our', 'result', 'holds', 'for', 'arbitrary', 'relevant', 'values', 'of', 'temperature', 't', 'and', 'magnetic', 'field', 'h', 'both', 'in', 'the', 'homogeneous', 'regime', 'of', 'very', 'low', 't', 'and', 'h', 'corresponding', 'to', 'ordinary', 'disordered', 'metals', 'and', 'in', 'the', 'structuredependent', 'regime', 'of', 'higher', 'values', 'of', 't', 'or', 'h']] | [-0.18188524168898473, 0.22039248562708413, -0.020645426388583937, 0.011413728545929463, 0.013002749005297446, -0.16913787851039813, 0.01674672564544346, 0.3231415512075402, -0.2544026856644536, -0.2849067241603614, 0.04246306621781463, -0.29950713817873653, -0.11318562606147509, 0.18797434815908518, 0.012012845977156792, 0.022227965699542284, -0.01901182555154247, 0.02937528843121638, -0.09151838167201516, -0.22738951394984605, 0.29474878428890455, 0.012371530062255432, 0.2895101118165086, 0.05026375613052328, 0.05526414772337478, 0.022706853168717813, 0.04857609363411167, 0.09938219241042323, -0.14973260388735138, 0.008871204754060908, 0.2589469751307987, -0.10886587832948931, 0.19749408284694236, -0.3901837314742635, -0.1746700690391491, 0.058748510692549764, 0.10446309285976414, 0.14273082969253356, -0.026853118132457207, -0.2499699637355318, 0.08704001426626488, -0.13419642036710427, -0.1196098722745928, -0.047112699782581265, 0.05357991702050709, -0.03710993905859244, -0.30000461573835535, 0.11945771034323734, 0.11317659264764274, 0.05530931291012269, -0.0548794428413769, -0.09856060976140588, -0.013502716756742096, 0.09279842108470511, 0.03178792533614093, 0.02782317752431516, 0.1187139642512742, -0.19148362262552288, -0.05427482660271157, 0.3599461939906315, -0.12332197108947374, -0.11157807442447487, 0.22648991987917502, -0.25160696546388966, -0.09494056294338321, 0.1806246971377646, 0.12660538482497324, 0.11592584887062604, -0.08338007301461163, 0.13115717830517515, -0.025961514101100137, 0.11136737675515865, 0.041846857907004514, 0.04938195300894462, 0.1907453467182042, 0.14243219092593723, 0.04853715336407131, 0.12852779766193256, -0.10674033671802015, -0.04133760320233568, -0.3108012407209794, -0.18938725220614974, -0.20262401023844503, 0.10496864542540796, -0.09113940538990614, -0.22050152971180823, 0.3103375436369119, 0.1689863842165203, 0.23102080018944898, 0.02521056168765392, 0.26052255626275855, 0.15002912066037818, 0.02394354922415794, 0.057239803692044795, 0.2166619053075336, 0.19415285368010682, 0.14580080689779176, -0.2751447244081646, 0.039403948480403926, 0.055170872617723805] |
707.4583 | Warping and F-term uplifting | We analyse the effective supergravity model of a warped compactification with
matter on D3 and D7-branes. We find that the main effect of the warp factor is
to modify the F-terms while leaving the D-terms invariant. Hence warped models
with moduli stabilisation and a small positive cosmological constant resulting
from a large warping can only be achieved with an almost vanishing D-term and a
F-term uplifting. By studying string-motivated examples with gaugino
condensation on magnetised D7-branes, we find that even with a vanishing
D-term, it is difficult to achieve a Minkowski minimum for reasonable parameter
choices. When coupled to an ISS sector the AdS vacua is uplifted, resulting in
a small gravitino mass for a warp factor of order 10^-5.
| hep-th | we analyse the effective supergravity model of a warped compactification with matter on d3 and d7branes we find that the main effect of the warp factor is to modify the fterms while leaving the dterms invariant hence warped models with moduli stabilisation and a small positive cosmological constant resulting from a large warping can only be achieved with an almost vanishing dterm and a fterm uplifting by studying stringmotivated examples with gaugino condensation on magnetised d7branes we find that even with a vanishing dterm it is difficult to achieve a minkowski minimum for reasonable parameter choices when coupled to an iss sector the ads vacua is uplifted resulting in a small gravitino mass for a warp factor of order 105 | [['we', 'analyse', 'the', 'effective', 'supergravity', 'model', 'of', 'a', 'warped', 'compactification', 'with', 'matter', 'on', 'd3', 'and', 'd7branes', 'we', 'find', 'that', 'the', 'main', 'effect', 'of', 'the', 'warp', 'factor', 'is', 'to', 'modify', 'the', 'fterms', 'while', 'leaving', 'the', 'dterms', 'invariant', 'hence', 'warped', 'models', 'with', 'moduli', 'stabilisation', 'and', 'a', 'small', 'positive', 'cosmological', 'constant', 'resulting', 'from', 'a', 'large', 'warping', 'can', 'only', 'be', 'achieved', 'with', 'an', 'almost', 'vanishing', 'dterm', 'and', 'a', 'fterm', 'uplifting', 'by', 'studying', 'stringmotivated', 'examples', 'with', 'gaugino', 'condensation', 'on', 'magnetised', 'd7branes', 'we', 'find', 'that', 'even', 'with', 'a', 'vanishing', 'dterm', 'it', 'is', 'difficult', 'to', 'achieve', 'a', 'minkowski', 'minimum', 'for', 'reasonable', 'parameter', 'choices', 'when', 'coupled', 'to', 'an', 'iss', 'sector', 'the', 'ads', 'vacua', 'is', 'uplifted', 'resulting', 'in', 'a', 'small', 'gravitino', 'mass', 'for', 'a', 'warp', 'factor', 'of', 'order', '105']] | [-0.17280887141047666, 0.20864718163914706, -0.025939662508123244, 0.12678157735208515, -0.12540815459991184, -0.17769815453793852, 4.87651404303809e-05, 0.30070587920684677, -0.16790193715132773, -0.30259016242926007, 0.13898405783790319, -0.21915577265123526, -0.11680512800812722, 0.10806559469977704, -0.09960284847766161, -0.015419144423988958, -0.005033922571844111, -0.01916809130149583, -0.08607852478938488, -0.30410932037824145, 0.39092521438530337, 0.05959895762304465, 0.20582861481622483, 0.06844718019322803, 0.1352101261339461, -0.11837499366180661, 0.02870157139453416, 0.01458042135151724, -0.1392030239150093, 0.09545583742631909, 0.17002656172398928, 0.03888104824970166, 0.13457913794942822, -0.37285090369405227, -0.22265023468838382, 0.15725317775116612, 0.15553048291476443, 0.16001715852568546, -0.0472891010363431, -0.26602871098245184, 0.09497083844617009, -0.19288601379375905, -0.14762970873853193, -0.12042308152110005, 0.011674702691379935, -0.14978523658792256, -0.32393353011963577, 0.0545876600263, -0.04745853240601718, -0.023458578794573744, -0.07344832969635415, -0.05942091990727931, -0.10563966985985947, 0.01858506321174597, 0.2092055323155364, 0.07994931284241223, 0.16114692493186641, -0.21284354192127164, -0.05927228797615195, 0.38388914954848585, -0.15816218676336574, -0.22273252509379138, 0.12783906915380308, -0.10911602299893275, -0.11861073274631054, 0.1369120224999885, 0.12248849552464283, 0.1574933121756961, -0.08471346755068225, 0.20287258333846694, -0.014360611497734984, 0.19098537010140718, 0.10867423939829071, 0.007913239835761487, 0.2825546286262882, 0.173149024603966, 0.10108760913281004, 0.1288062301221847, 0.0029686987516470255, -0.08660447076351072, -0.39275840085465463, -0.08799592018670713, -0.08312877803012574, 0.14842519228501866, -0.1979236538712333, -0.19544035966585702, 0.36135067070717924, 0.06522842975876604, 0.26800991360796617, 0.05183342795741434, 0.2709288267544859, 0.05243794198613614, 0.12253302675477849, 0.07428870700338545, 0.30394365271398177, 0.050943534680603385, 0.047225611216466255, -0.23682840651405665, -0.09735194818349555, 0.09246897543004404] |
707.4584 | Some new Strichartz estimates for the Schr\"odinger equation | We deal with fixed-time and Strichartz estimates for the Schr\"odinger
propagator as an operator on Wiener amalgam spaces. We discuss the sharpness of
the known estimates and we provide some new estimates which generalize the
classical ones. As an application, we present a result on the wellposedness of
the linear Schr\"odinger equation with a rough time dependent potential.
| math.AP math-ph math.MP | we deal with fixedtime and strichartz estimates for the schrodinger propagator as an operator on wiener amalgam spaces we discuss the sharpness of the known estimates and we provide some new estimates which generalize the classical ones as an application we present a result on the wellposedness of the linear schrodinger equation with a rough time dependent potential | [['we', 'deal', 'with', 'fixedtime', 'and', 'strichartz', 'estimates', 'for', 'the', 'schrodinger', 'propagator', 'as', 'an', 'operator', 'on', 'wiener', 'amalgam', 'spaces', 'we', 'discuss', 'the', 'sharpness', 'of', 'the', 'known', 'estimates', 'and', 'we', 'provide', 'some', 'new', 'estimates', 'which', 'generalize', 'the', 'classical', 'ones', 'as', 'an', 'application', 'we', 'present', 'a', 'result', 'on', 'the', 'wellposedness', 'of', 'the', 'linear', 'schrodinger', 'equation', 'with', 'a', 'rough', 'time', 'dependent', 'potential']] | [-0.07613800568827267, 0.048018306482217984, -0.0963934620135817, 0.12236910637725017, -0.13078427576492058, -0.08708146941880214, 0.002522345788873218, 0.35170398003839215, -0.27364616722253887, -0.20439863100583697, 0.1985715146774651, -0.3060770963382875, -0.17810631384430775, 0.2432466097786252, -0.10934791198514145, 0.08711946119779143, 0.057692756747891163, 0.04093655873670098, -0.12022141554264416, -0.23978983260819625, 0.3874756006909342, -0.0044762553839847955, 0.1567365780215839, 0.05479141033720225, 0.09397693243327326, 0.054530811881453825, -0.051009651610692, -0.057597211016149355, -0.23596195868569717, 0.1241580498693832, 0.17009085314027195, 0.037565640061451445, 0.30432828332714995, -0.41785859001864645, -0.24096483650520958, 0.10281195898805263, 0.1223999007990391, 0.10458421410695681, -0.11305192469795845, -0.376927529301109, -0.006457568587863754, -0.10151302894770071, -0.22373064571252926, -0.09108283279206732, -0.02115584550634155, 0.09478398658142521, -0.3015777485380913, 0.11563228363379964, 0.09182193681019647, -0.00016185727998100478, -0.20870781860089507, -0.10131170219292157, 0.0394904433010981, 0.07747133327387112, -0.0023179549145801314, 0.022092868919195287, -0.0031590800503306974, -0.09238379756952154, -0.15016671357644273, 0.32355205457786035, -0.12223620788226354, -0.27346585874028245, 0.1543231939832712, -0.11193374458475616, -0.10671875368530766, 0.0064974574629088925, 0.1691169280815741, 0.13468011658124882, -0.12808578814668903, 0.12099363536630146, -0.052922641537312805, 0.12408755494859712, 0.06094985134128866, 0.08102204526196523, -0.009877041748981795, 0.14609926389048583, 0.21459782071379496, 0.14373947209518018, -0.03833615732507716, -0.06626245594113776, -0.3981618356473487, -0.15400826137769838, -0.17169342597079432, 0.07194153233912998, -0.16233673010067612, -0.22512230765002234, 0.37429777340128506, 0.18093796773183415, 0.20315849980146722, 0.13640655543663185, 0.226923701513944, 0.227698219149245, -0.004936964299272874, 0.07052964991729321, 0.1792039043768831, 0.19302248036296205, 0.1657656717820671, -0.18115533339180823, -0.0027430765651937188, 0.18442017312868145] |
707.4585 | Two-eigenfunction correlation in a multifractal metal and insulator | We consider the correlation of two single-particle probability densities
$|\Psi_{E}({\bf r})|^{2}$ at coinciding points ${\bf r}$ as a function of the
energy separation $\omega=|E-E'|$ for disordered tight-binding lattice models
(the Anderson models) and certain random matrix ensembles. We focus on the
models in the parameter range where they are close but not exactly at the
Anderson localization transition. We show that even far away from the critical
point the eigenfunction correlation show the remnant of multifractality which
is characteristic of the critical states. By a combination of the numerical
results on the Anderson model and analytical and numerical results for the
relevant random matrix theories we were able to identify the Gaussian random
matrix ensembles that describe the multifractal features in the metal and
insulator phases. In particular those random matrix ensembles describe new
phenomena of eigenfunction correlation we discovered from simulations on the
Anderson model. These are the eigenfunction mutual avoiding at large energy
separations and the logarithmic enhancement of eigenfunction correlations at
small energy separations in the two-dimensional (2D) and the three-dimensional
(3D) Anderson insulator. For both phenomena a simple and general physical
picture is suggested.
| cond-mat.mes-hall cond-mat.stat-mech | we consider the correlation of two singleparticle probability densities psi_ebf r2 at coinciding points bf r as a function of the energy separation omegaee for disordered tightbinding lattice models the anderson models and certain random matrix ensembles we focus on the models in the parameter range where they are close but not exactly at the anderson localization transition we show that even far away from the critical point the eigenfunction correlation show the remnant of multifractality which is characteristic of the critical states by a combination of the numerical results on the anderson model and analytical and numerical results for the relevant random matrix theories we were able to identify the gaussian random matrix ensembles that describe the multifractal features in the metal and insulator phases in particular those random matrix ensembles describe new phenomena of eigenfunction correlation we discovered from simulations on the anderson model these are the eigenfunction mutual avoiding at large energy separations and the logarithmic enhancement of eigenfunction correlations at small energy separations in the twodimensional 2d and the threedimensional 3d anderson insulator for both phenomena a simple and general physical picture is suggested | [['we', 'consider', 'the', 'correlation', 'of', 'two', 'singleparticle', 'probability', 'densities', 'psi_ebf', 'r2', 'at', 'coinciding', 'points', 'bf', 'r', 'as', 'a', 'function', 'of', 'the', 'energy', 'separation', 'omegaee', 'for', 'disordered', 'tightbinding', 'lattice', 'models', 'the', 'anderson', 'models', 'and', 'certain', 'random', 'matrix', 'ensembles', 'we', 'focus', 'on', 'the', 'models', 'in', 'the', 'parameter', 'range', 'where', 'they', 'are', 'close', 'but', 'not', 'exactly', 'at', 'the', 'anderson', 'localization', 'transition', 'we', 'show', 'that', 'even', 'far', 'away', 'from', 'the', 'critical', 'point', 'the', 'eigenfunction', 'correlation', 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'and', 'the', 'threedimensional', '3d', 'anderson', 'insulator', 'for', 'both', 'phenomena', 'a', 'simple', 'and', 'general', 'physical', 'picture', 'is', 'suggested']] | [-0.116893427791684, 0.15400963211133278, -0.05707485453390023, 0.11317580051466146, 0.03674375892362811, -0.15692391141721193, 0.04173220768598914, 0.35845692981691923, -0.2403275305044185, -0.23267582857752228, 0.059658915897642065, -0.3445519726016225, -0.1864396338276366, 0.14268777057538456, 0.04348893408080872, 0.09827157110473848, 0.027704406781794432, 0.01719136885740859, -0.11675043503895781, -0.1759830837388259, 0.33808853330817773, 0.025997771562779333, 0.2745197549123656, 0.06200004291763021, 0.02748075647797575, 0.00784197031460543, 0.04198053611671542, 0.008955871209472338, -0.14419994892013685, 0.05264911422708923, 0.20845548634027566, 0.0005038799120382192, 0.22253655954506896, -0.411402203797557, -0.24510558189844145, 0.07389029828995905, 0.13217162418697168, 0.13630633593977673, 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-0.13469894842892438, -0.20217142282490386, 0.45211408322647134, 0.18024582957866336, 0.22759956614995863, 0.06730867143942014, 0.20036574205343816, 0.14875271241242852, 0.024640248224318505, 0.055885471692458194, 0.21179900841319307, 0.1175559939278718, 0.07876617044588939, -0.21181214725807868, 0.018440128000263862, 0.11321043262487268] |
707.4586 | Light Scalar Tetraquark Mesons in the QCD Sum Rule | We study the lowest-lying scalar mesons in the QCD sum rule by considering
them as tetraquark states. We find that there are five independent currents for
each state with a certain flavor structure. By forming linear combinations, we
find that some mixed currents give reliable QCD sum rules. Among various
tetraquark currents, we consider those which are constructed by the diquarks
having anti-symmetric and symmetric flavor structures. That the results of the
QCD sum rule derived from the two types of currents are similar suggests that
the tetraquark states can have a large mixing between different flavor
structures.
| hep-ph | we study the lowestlying scalar mesons in the qcd sum rule by considering them as tetraquark states we find that there are five independent currents for each state with a certain flavor structure by forming linear combinations we find that some mixed currents give reliable qcd sum rules among various tetraquark currents we consider those which are constructed by the diquarks having antisymmetric and symmetric flavor structures that the results of the qcd sum rule derived from the two types of currents are similar suggests that the tetraquark states can have a large mixing between different flavor structures | [['we', 'study', 'the', 'lowestlying', 'scalar', 'mesons', 'in', 'the', 'qcd', 'sum', 'rule', 'by', 'considering', 'them', 'as', 'tetraquark', 'states', 'we', 'find', 'that', 'there', 'are', 'five', 'independent', 'currents', 'for', 'each', 'state', 'with', 'a', 'certain', 'flavor', 'structure', 'by', 'forming', 'linear', 'combinations', 'we', 'find', 'that', 'some', 'mixed', 'currents', 'give', 'reliable', 'qcd', 'sum', 'rules', 'among', 'various', 'tetraquark', 'currents', 'we', 'consider', 'those', 'which', 'are', 'constructed', 'by', 'the', 'diquarks', 'having', 'antisymmetric', 'and', 'symmetric', 'flavor', 'structures', 'that', 'the', 'results', 'of', 'the', 'qcd', 'sum', 'rule', 'derived', 'from', 'the', 'two', 'types', 'of', 'currents', 'are', 'similar', 'suggests', 'that', 'the', 'tetraquark', 'states', 'can', 'have', 'a', 'large', 'mixing', 'between', 'different', 'flavor', 'structures']] | [-0.15307466941410486, 0.2659509736279558, -0.03524019408552927, 0.1176131152909021, -0.05172066320190016, -0.12817894605615612, 0.08664957045254354, 0.3912638223787047, -0.1892985030058391, -0.1978524841976409, 0.03399453752517358, -0.2573662552298332, -0.09827665507565347, 0.06136389616496709, 0.12167681844867005, 0.021435026868189475, 0.06074965189980837, 0.0069237057908381125, -0.09600243802961646, -0.21646813852522445, 0.39465017092167115, -0.11981615063981438, 0.23676467679288923, 0.0826742485716787, 0.023298221675926174, -0.031058849999681115, -0.02666999544349632, -0.005776099765635267, -0.06948624468766086, 0.09194819500779125, 0.23341174132893888, 0.1116897802714856, 0.1144540484885362, -0.39789055703131826, -0.1758686919240471, 0.13867967703132605, 0.11102241469898774, 0.13267150371007583, -0.004572410402553422, -0.28756746415961154, 0.15564002395769086, -0.20076677675491997, -0.12054300354318503, -0.18195639450901321, -0.0334058695149665, 0.021222529060929557, -0.3076819409788539, 0.09520950298328713, -0.03377744987635512, 0.01612122812336881, -0.04596151463563877, -0.2998497867434077, -0.06380315877292875, 0.078898998580835, 0.07240156462886466, -0.0014664998814957787, 0.10336212917440096, -0.17995205813334608, -0.22014333473694303, 0.3889379946857083, -0.050387833105894377, -0.24058086582820634, 0.14973524387460202, -0.12465714828149245, -0.1423256286462693, 0.07250446420904173, 0.10236497482817088, 0.08822168843174467, -0.17026359405503988, 0.0331264670970327, -0.14406757925313954, 0.09404761722306626, 0.11254510218372607, 0.1002556423381047, 0.3051370419371797, 0.08296180795878172, 0.026726869032338108, 0.13224897322919676, 0.017331919297564072, -0.1288754629227808, -0.3907893089463516, -0.08138197636212774, -0.09894601203387185, 0.10157563208545349, -0.08846715446641759, -0.1214872468167878, 0.40812463735287285, 0.03314949978352049, 0.22456154699718855, 0.020781927781265076, 0.25296599376110396, 0.10378191444181781, 0.11250555556628625, 0.10402205004831966, 0.2628226838854488, 0.1874540876288309, 0.07188676778531196, -0.2677357622299923, -0.020045342902671928, 0.08629601471582238] |
707.4587 | Observations on Gaussian bases for Schrodinger's equation | One of the few methods for generating efficient function spaces for multi-D
Schrodinger eigenproblems is given by Garashchuk and Light in J.Chem.Phys. 114
(2001) 3929. Their Gaussian basis functions are wider and sparser in high
potential regions, and narrower and denser in low ones. We suggest a
modification of their approach based on the following observation: In very
steep potential regions, wide, sparse, Gaussians should be avoided even if
their centers have high potential values. Our numerical results illustrate that
a dramatic improvement in accuracy may be obtained in this way. We also compare
the errors of collocation to those of a Galerkin approach, test a criterion for
scaling Gaussian widths based on deviation from orthogonality of collocation
eigenfunctions, and suggest a criterion for scaling Gaussian widths based on
Hamiltonian trace minimization.
| physics.comp-ph physics.chem-ph | one of the few methods for generating efficient function spaces for multid schrodinger eigenproblems is given by garashchuk and light in jchemphys 114 2001 3929 their gaussian basis functions are wider and sparser in high potential regions and narrower and denser in low ones we suggest a modification of their approach based on the following observation in very steep potential regions wide sparse gaussians should be avoided even if their centers have high potential values our numerical results illustrate that a dramatic improvement in accuracy may be obtained in this way we also compare the errors of collocation to those of a galerkin approach test a criterion for scaling gaussian widths based on deviation from orthogonality of collocation eigenfunctions and suggest a criterion for scaling gaussian widths based on hamiltonian trace minimization | [['one', 'of', 'the', 'few', 'methods', 'for', 'generating', 'efficient', 'function', 'spaces', 'for', 'multid', 'schrodinger', 'eigenproblems', 'is', 'given', 'by', 'garashchuk', 'and', 'light', 'in', 'jchemphys', '114', '2001', '3929', 'their', 'gaussian', 'basis', 'functions', 'are', 'wider', 'and', 'sparser', 'in', 'high', 'potential', 'regions', 'and', 'narrower', 'and', 'denser', 'in', 'low', 'ones', 'we', 'suggest', 'a', 'modification', 'of', 'their', 'approach', 'based', 'on', 'the', 'following', 'observation', 'in', 'very', 'steep', 'potential', 'regions', 'wide', 'sparse', 'gaussians', 'should', 'be', 'avoided', 'even', 'if', 'their', 'centers', 'have', 'high', 'potential', 'values', 'our', 'numerical', 'results', 'illustrate', 'that', 'a', 'dramatic', 'improvement', 'in', 'accuracy', 'may', 'be', 'obtained', 'in', 'this', 'way', 'we', 'also', 'compare', 'the', 'errors', 'of', 'collocation', 'to', 'those', 'of', 'a', 'galerkin', 'approach', 'test', 'a', 'criterion', 'for', 'scaling', 'gaussian', 'widths', 'based', 'on', 'deviation', 'from', 'orthogonality', 'of', 'collocation', 'eigenfunctions', 'and', 'suggest', 'a', 'criterion', 'for', 'scaling', 'gaussian', 'widths', 'based', 'on', 'hamiltonian', 'trace', 'minimization']] | [-0.051645438568308374, 0.05057115609614322, -0.11602328406073727, 0.10822590115265204, -0.05832904823160229, -0.14205573027093824, 0.061027094417323284, 0.4362083742395043, -0.21360630634455727, -0.29858606116702924, 0.10065042134195279, -0.24544249246470057, -0.13521636861483924, 0.24002069600213033, -0.06242640075058891, 0.08759774282729128, 0.09848287018875664, -0.040460041165351866, -0.13285477786109998, -0.21671840033064094, 0.29279456638569873, 0.04857732596305701, 0.27388207655973157, 0.03977601003403274, 0.028015512027307593, -0.04330622729612514, -0.02745018804875704, 0.008655303888596021, -0.06958025629266139, 0.13376979316011645, 0.21701524902242594, 0.10819834458838719, 0.3286895362588649, -0.38799972913424985, -0.2261077602322285, 0.09477259586206996, 0.17531143617099867, 0.09366196179046081, -0.0652929566290158, -0.29258943781471597, 0.0861014571130419, -0.15887504958619292, -0.14599676990809923, -0.10153441515643723, 0.017640207449977213, 0.07053267180633087, -0.3009586572217254, 0.13195992097630202, 0.010613803160735048, 0.05958256424547961, -0.07801092737354338, -0.17044357899576426, 0.015187554324690539, 0.02149712838805639, -0.023287144555853536, 0.006288598294262416, 0.08589155081516275, -0.09839771336231094, -0.0775623042960293, 0.373298953487896, -0.0823433365045975, -0.22920518260305892, 0.17898848621855276, -0.15149004458351276, -0.12166241432468479, 0.14552318173675582, 0.19988286746486736, 0.11693351009162142, -0.11023808815874732, 0.03333590281388472, -0.009292488081309084, 0.1183913990855217, 0.07671996967222255, 0.05000882952545698, 0.15560135994321453, 0.11696122572399102, 0.06585045603211397, 0.10037563941083276, -0.07967749550544585, -0.09907014094642363, -0.28007789677582107, -0.10042318800294127, -0.21097680133803245, 0.0086964387840663, -0.16229566691315714, -0.17119126906528925, 0.3845338574109169, 0.1524527549573507, 0.24202292511024728, 0.08633131338641621, 0.26152648472298795, 0.15784863540992283, 0.06533750712764091, 0.07561054040964406, 0.2381857732203431, 0.1435093723058414, 0.05719578666254305, -0.16109077137572547, 0.022043461277364538, 0.06690735533260382] |
707.4588 | Probabilistic validation of homology computations for nodal domains | Homology has long been accepted as an important computable tool for
quantifying complex structures. In many applications, these structures arise as
nodal domains of real-valued functions and are therefore amenable only to a
numerical study based on suitable discretizations. Such an approach immediately
raises the question of how accurate the resulting homology computations are. In
this paper, we present a probabilistic approach to quantifying the validity of
homology computations for nodal domains of random fields in one and two space
dimensions, which furnishes explicit probabilistic a priori bounds for the
suitability of certain discretization sizes. We illustrate our results for the
special cases of random periodic fields and random trigonometric polynomials.
| math.PR | homology has long been accepted as an important computable tool for quantifying complex structures in many applications these structures arise as nodal domains of realvalued functions and are therefore amenable only to a numerical study based on suitable discretizations such an approach immediately raises the question of how accurate the resulting homology computations are in this paper we present a probabilistic approach to quantifying the validity of homology computations for nodal domains of random fields in one and two space dimensions which furnishes explicit probabilistic a priori bounds for the suitability of certain discretization sizes we illustrate our results for the special cases of random periodic fields and random trigonometric polynomials | [['homology', 'has', 'long', 'been', 'accepted', 'as', 'an', 'important', 'computable', 'tool', 'for', 'quantifying', 'complex', 'structures', 'in', 'many', 'applications', 'these', 'structures', 'arise', 'as', 'nodal', 'domains', 'of', 'realvalued', 'functions', 'and', 'are', 'therefore', 'amenable', 'only', 'to', 'a', 'numerical', 'study', 'based', 'on', 'suitable', 'discretizations', 'such', 'an', 'approach', 'immediately', 'raises', 'the', 'question', 'of', 'how', 'accurate', 'the', 'resulting', 'homology', 'computations', 'are', 'in', 'this', 'paper', 'we', 'present', 'a', 'probabilistic', 'approach', 'to', 'quantifying', 'the', 'validity', 'of', 'homology', 'computations', 'for', 'nodal', 'domains', 'of', 'random', 'fields', 'in', 'one', 'and', 'two', 'space', 'dimensions', 'which', 'furnishes', 'explicit', 'probabilistic', 'a', 'priori', 'bounds', 'for', 'the', 'suitability', 'of', 'certain', 'discretization', 'sizes', 'we', 'illustrate', 'our', 'results', 'for', 'the', 'special', 'cases', 'of', 'random', 'periodic', 'fields', 'and', 'random', 'trigonometric', 'polynomials']] | [-0.14191119610814396, 0.06688657386867153, -0.07874226931751042, 0.11807415192959377, -0.09379957438454972, -0.11427057064180304, 0.018481401519992533, 0.3759873513035845, -0.2847053837744301, -0.25142803423207355, 0.15425616885464102, -0.1949498996176329, -0.18852003512753024, 0.26913292075062656, -0.08392124179633217, 0.10341517774069363, 0.05658199339224076, 0.012189059853889383, -0.07873368174307518, -0.25933638706316686, 0.352713737133387, -0.009301153007424899, 0.23178515694448137, 0.08343206846516009, 0.07968957211637685, -0.010460470933131539, -0.049915922738544574, 0.01833618500544666, -0.1405025844437045, 0.16933276811782438, 0.296507769327208, 0.09267659346271004, 0.2879738505208143, -0.4196862925414567, -0.22100310098916828, 0.11090509926476558, 0.1603308377938496, 0.11332479999337748, -0.049943068476922405, -0.2748274003818363, 0.09159219666145037, -0.14724291050554933, -0.15132711048296713, -0.1700286173140043, 0.03034264030069247, 0.0606079888970566, -0.2698632030672318, 0.03210960459362648, 0.07965104973891766, 0.11560821715272493, -0.044908615982847976, -0.10097140717731269, 0.04212164941982173, 0.16557112617233583, 0.03644771308432069, -0.008738171216939483, 0.05634184104080001, -0.09054838040180772, -0.16498023178428411, 0.4012593720527785, -0.021030059587713833, -0.2765233262802835, 0.20851671094334945, -0.09516690981884797, -0.2150698667371159, 0.10038357363648813, 0.16898586969772303, 0.16435299535189662, -0.09385446130994472, 0.11458646094369879, -0.06668783863586886, 0.12571538850530847, 0.07439827882928086, 0.03908068091012873, 0.16681016392603115, 0.13852236272456744, 0.07921364513144048, 0.13031979111811934, -0.022456732794625667, -0.1400498147835737, -0.3020617594724303, -0.18235431548702502, -0.1931217463250767, 0.030181470457128844, -0.1432365378033766, -0.25181198603293214, 0.39880630209085505, 0.16435306259800117, 0.1688865277798729, 0.0901136332210405, 0.2840392380608833, 0.11054458461496308, 0.02007031638745789, 0.04030318144155112, 0.13623220386583493, 0.16643137398159114, 0.04727885686280625, -0.10908246321838584, 0.05970016419719737, 0.11771902033371164] |
707.4589 | Sum Rules for Total Cross-Sections of Hadron Photo-Production on
Pseudoscalar Mesons and Octet Baryons | Considering very high energy peripheral electron-hadron scattering with a
production of hadronic state X moving closely to the direction of initial
hadron the Weizs\"acker-Williams like expression, relating the difference of
q^2-dependent differential cross-sections of DIS processes to the convergent
integral over the difference of the total hadron photo-production
cross-sections on hadros, is derived. Then, exploiting analytic properties of
the forward retarded Compton scattering amplitude on the same hadrons, first,
the sum rules are derived bringing into relation hadron electromagnetic form
factors with the difference of the q^2-dependent differential cross-sections of
DIS, then using Weizs\"acker-Williams like expression and taking the derivative
of both sides according to ${\bf q^2}$ for ${\bf q^2} \to 0$ one comes to new
universal hadron sum rules relating hadron static parameters to the convergent
integral over the difference of the total hadron photo-production
cross-sections on hadrons.
| hep-ph | considering very high energy peripheral electronhadron scattering with a production of hadronic state x moving closely to the direction of initial hadron the weizsackerwilliams like expression relating the difference of q2dependent differential crosssections of dis processes to the convergent integral over the difference of the total hadron photoproduction crosssections on hadros is derived then exploiting analytic properties of the forward retarded compton scattering amplitude on the same hadrons first the sum rules are derived bringing into relation hadron electromagnetic form factors with the difference of the q2dependent differential crosssections of dis then using weizsackerwilliams like expression and taking the derivative of both sides according to bf q2 for bf q2 to 0 one comes to new universal hadron sum rules relating hadron static parameters to the convergent integral over the difference of the total hadron photoproduction crosssections on hadrons | [['considering', 'very', 'high', 'energy', 'peripheral', 'electronhadron', 'scattering', 'with', 'a', 'production', 'of', 'hadronic', 'state', 'x', 'moving', 'closely', 'to', 'the', 'direction', 'of', 'initial', 'hadron', 'the', 'weizsackerwilliams', 'like', 'expression', 'relating', 'the', 'difference', 'of', 'q2dependent', 'differential', 'crosssections', 'of', 'dis', 'processes', 'to', 'the', 'convergent', 'integral', 'over', 'the', 'difference', 'of', 'the', 'total', 'hadron', 'photoproduction', 'crosssections', 'on', 'hadros', 'is', 'derived', 'then', 'exploiting', 'analytic', 'properties', 'of', 'the', 'forward', 'retarded', 'compton', 'scattering', 'amplitude', 'on', 'the', 'same', 'hadrons', 'first', 'the', 'sum', 'rules', 'are', 'derived', 'bringing', 'into', 'relation', 'hadron', 'electromagnetic', 'form', 'factors', 'with', 'the', 'difference', 'of', 'the', 'q2dependent', 'differential', 'crosssections', 'of', 'dis', 'then', 'using', 'weizsackerwilliams', 'like', 'expression', 'and', 'taking', 'the', 'derivative', 'of', 'both', 'sides', 'according', 'to', 'bf', 'q2', 'for', 'bf', 'q2', 'to', '0', 'one', 'comes', 'to', 'new', 'universal', 'hadron', 'sum', 'rules', 'relating', 'hadron', 'static', 'parameters', 'to', 'the', 'convergent', 'integral', 'over', 'the', 'difference', 'of', 'the', 'total', 'hadron', 'photoproduction', 'crosssections', 'on', 'hadrons']] | [-0.08033658865589541, 0.164389385578587, -0.14828311193696866, 0.1316069691565117, -0.08519204177866703, -0.0430701844819376, 0.01426415012552963, 0.3173598601496306, -0.24002951340398926, -0.18494542426281219, -0.036997572729782456, -0.3442150460205216, 0.022537224457018834, 0.18102249709224544, 0.09376967900122206, 0.09724189631600419, 0.044005651231112795, 0.041297097769700856, -0.07210013872700864, -0.2039614583554794, 0.37665520534189284, 0.03119709310999167, 0.24296691191747136, 0.13432992574340408, 0.16576682844543425, 0.11259424952837382, -0.08479596918534851, -0.02337845079007135, -0.10073713003657758, 0.1298928008671256, 0.2726109459425957, 0.05116612346087029, 0.08322721963707844, -0.38099605802014685, -0.06662488296843957, 0.09549281161394058, 0.1489155272382946, 0.03300994716034662, 0.011288227035117376, -0.24670922447778826, 0.060357312307409615, -0.21847051110091634, -0.13163277750456895, -0.0743386770085688, 0.04233117369374773, 0.05878233873163876, -0.3158610191759721, 0.06812310541399579, -0.060350048981701446, 0.0011827817095605576, -0.05479086244283109, -0.23482423926285212, -0.04071602835387424, 0.060663986009667104, 0.10721839817099112, 0.07358197154531228, 0.15045509683271951, -0.2003554002570825, -0.11955077464327864, 0.3822280227449601, -0.03036540554266126, -0.1897553212441288, 0.1013996760610599, -0.24632868093128005, -0.09010531000819975, 0.19982404190358322, 0.22324673833993627, 0.07425632856388077, -0.20071678904924486, 0.10669090669640961, -0.010477335799647413, 0.14029471652980463, 0.14757481619270277, 0.058945036864421076, 0.1404265903317761, 0.1450084313966226, -0.038058153009447065, 0.0735985943203981, -0.11191329279867257, -0.12923321685335343, -0.4241514486004261, -0.10992032887272375, -0.08774183313294813, 0.09763982752844205, -0.07587782523752548, -0.12806503496814411, 0.31914271249780024, 0.010257459616801445, 0.2720394969274175, 0.04286037556037469, 0.3381387535482645, 0.1882332299862975, 0.05025581693600701, 0.038048598453051585, 0.2469585572295161, 0.23201215531730998, 0.1501009941144941, -0.2795751182652632, 0.04062221489721855, 0.10835550519033754] |
707.459 | Exciton condensate at a total filling factor of 1 in Corbino 2D electron
bilayers | Magneto-transport and drag measurements on a quasi-Corbino 2D electron
bilayer at the systems total filling factor 1 (v_tot=1) reveal a drag voltage
that is equal in magnitude to the drive voltage as soon as the two layers begin
to form the expected v_tot=1 exciton condensate. The identity of both voltages
remains present even at elevated temperatures of 0.25 K. The conductance in the
current carrying layer vanishes only in the limit of strong coupling between
the two layers and at T->0 K which suggests the presence of an excitonic
circular current.
| cond-mat.mes-hall cond-mat.str-el | magnetotransport and drag measurements on a quasicorbino 2d electron bilayer at the systems total filling factor 1 v_tot1 reveal a drag voltage that is equal in magnitude to the drive voltage as soon as the two layers begin to form the expected v_tot1 exciton condensate the identity of both voltages remains present even at elevated temperatures of 025 k the conductance in the current carrying layer vanishes only in the limit of strong coupling between the two layers and at t0 k which suggests the presence of an excitonic circular current | [['magnetotransport', 'and', 'drag', 'measurements', 'on', 'a', 'quasicorbino', '2d', 'electron', 'bilayer', 'at', 'the', 'systems', 'total', 'filling', 'factor', '1', 'v_tot1', 'reveal', 'a', 'drag', 'voltage', 'that', 'is', 'equal', 'in', 'magnitude', 'to', 'the', 'drive', 'voltage', 'as', 'soon', 'as', 'the', 'two', 'layers', 'begin', 'to', 'form', 'the', 'expected', 'v_tot1', 'exciton', 'condensate', 'the', 'identity', 'of', 'both', 'voltages', 'remains', 'present', 'even', 'at', 'elevated', 'temperatures', 'of', '025', 'k', 'the', 'conductance', 'in', 'the', 'current', 'carrying', 'layer', 'vanishes', 'only', 'in', 'the', 'limit', 'of', 'strong', 'coupling', 'between', 'the', 'two', 'layers', 'and', 'at', 't0', 'k', 'which', 'suggests', 'the', 'presence', 'of', 'an', 'excitonic', 'circular', 'current']] | [-0.21571030411657624, 0.19459409960853175, 0.004954959578092464, -0.029413674046571196, 0.052386869824576104, -0.17075340510663492, 0.09764790899300185, 0.3438131657683037, -0.2779818387829106, -0.30911018705757504, 0.031649341162516394, -0.331208229996264, -0.06790341055867347, 0.1810882565650073, 0.0647298672225919, -0.03521447505971247, -0.018219881587852302, 0.01568669385464587, -0.08839044347405434, -0.22569405397991266, 0.29957086252133275, 0.028849879491396925, 0.28339089024600317, 0.13855508976319636, 0.08254734909860417, -0.039374052874997935, 0.09982911440205168, 0.04366081865208054, -0.10822977416988909, -0.007555441708642651, 0.22476209787948226, -0.12847945641789754, 0.2413766641508449, -0.4486567003610121, -0.15106830098772084, 0.00864053159867498, 0.13847062300721352, 0.11080388420404316, -0.0148208149647954, -0.2075280035285025, 0.05782538182525472, -0.13556982517581095, -0.10786804847355763, -0.02427453696939417, 0.03479643868261271, -0.026606070168782026, -0.25795855408068746, 0.1289748138832775, 0.06589632391379299, 0.06725975658892738, -0.07897108630806376, -0.15278674291022815, -0.08645966079149564, 0.11370916911255335, 0.043106032426955855, 0.07119935577396642, 0.2065793075440028, -0.19649572725492445, -0.059910913955801254, 0.32239323295652866, -0.10424866005566648, -0.09471163102716673, 0.17263924746393142, -0.22239025924566455, -0.023436463448557664, 0.1580241469835693, 0.12268345866521652, 0.065632234999529, -0.10898510375773185, 0.026589671361514113, -0.021835165733302183, 0.17746587869160893, 0.08712981285630535, 0.04290566621454094, 0.296778640688651, 0.16924133596264504, 0.0938192762683188, 0.12076137320202013, -0.15337515639045954, -0.012197376041016965, -0.2597943534439599, -0.1497930430341512, -0.17325590941155414, 0.11114790054588494, -0.06623832589320955, -0.1494164954849773, 0.3858134383679664, 0.1680033243134279, 0.248949362705885, 0.01144272005264859, 0.327317115469751, 0.17136307180970273, 0.09305082653141157, 0.06138778291427694, 0.2729023105983453, 0.15215624293143098, 0.12442713436691767, -0.28905085554685106, 0.05202665717065842, 0.0018969690347810022] |
707.4591 | Tachyon Vacuum in Cubic Superstring Field Theory | In this paper we give an exact analytic solution for tachyon condensation in
the modified (picture 0) cubic superstring field theory. We prove the absence
of cohomology and, crucially, reproduce the correct value for the D-brane
tension. The solution is surprising for two reasons: First, the existence of a
tachyon vacuum in this theory has not been definitively established in the
level expansion. Second, the solution {\it vanishes} in the GSO$(-)$ sector,
implying a ``tachyon vacuum'' solution exists even for a {\it BPS} D-brane.
| hep-th | in this paper we give an exact analytic solution for tachyon condensation in the modified picture 0 cubic superstring field theory we prove the absence of cohomology and crucially reproduce the correct value for the dbrane tension the solution is surprising for two reasons first the existence of a tachyon vacuum in this theory has not been definitively established in the level expansion second the solution it vanishes in the gso sector implying a tachyon vacuum solution exists even for a it bps dbrane | [['in', 'this', 'paper', 'we', 'give', 'an', 'exact', 'analytic', 'solution', 'for', 'tachyon', 'condensation', 'in', 'the', 'modified', 'picture', '0', 'cubic', 'superstring', 'field', 'theory', 'we', 'prove', 'the', 'absence', 'of', 'cohomology', 'and', 'crucially', 'reproduce', 'the', 'correct', 'value', 'for', 'the', 'dbrane', 'tension', 'the', 'solution', 'is', 'surprising', 'for', 'two', 'reasons', 'first', 'the', 'existence', 'of', 'a', 'tachyon', 'vacuum', 'in', 'this', 'theory', 'has', 'not', 'been', 'definitively', 'established', 'in', 'the', 'level', 'expansion', 'second', 'the', 'solution', 'it', 'vanishes', 'in', 'the', 'gso', 'sector', 'implying', 'a', 'tachyon', 'vacuum', 'solution', 'exists', 'even', 'for', 'a', 'it', 'bps', 'dbrane']] | [-0.17232393686260497, 0.0917396172785846, -0.1275069617910222, 0.14897132373187646, -0.06822847792257865, -0.1472256169709865, 0.011741946272585275, 0.2757465655006291, -0.1937713540114817, -0.24355582405059112, 0.0944965923180072, -0.2332156789710834, -0.14637897512295153, 0.10758938013445697, -0.048028180575264354, 0.006196382965537764, 0.013089008385404236, 0.09042666136242804, -0.05033565175420206, -0.26625998056538047, 0.3408185016541254, -0.0062022934933858255, 0.28516036609099027, 0.1191957609858253, 0.11009198950514906, -0.06143540460505478, 0.06738264362017314, -0.014127294566216213, -0.1812694110308907, 0.04358363285705093, 0.2347135745166313, 0.10266765107822028, 0.18789455999753304, -0.43556724792523754, -0.1858951225571911, 0.14331813156604767, 0.1578272218605326, 0.2084202801675669, -0.06304243220559631, -0.21463531051718054, 0.08332283488873925, -0.15422591539598735, -0.23600401569690024, -0.07751752467205127, 0.022108467912489903, -0.11735164201153177, -0.23047398857861048, 0.0864974019752394, 0.020975458524411635, 0.01698058056423352, -0.148950565722771, -0.05508190850239424, 0.0058112246361339374, 0.06213175743773934, 0.12886885447993077, 0.08146306315964986, 0.051896726579538414, -0.23062711554424217, -0.07055195005211447, 0.3396425056714742, -0.1309845603204199, -0.20638995023355597, 0.08732598053202742, -0.13849974679760635, -0.17086206060568138, 0.13078879104882835, -0.012833077760574053, 0.15342981365860656, -0.12733170316953743, 0.23031970541411456, -0.06353059664945163, 0.1581355840566435, 0.13680700611855304, -0.006952141644433141, 0.2661439873100746, 0.10793589805031106, 0.07143507759264182, 0.12787995506299749, -0.002133995494140046, -0.14200504791612426, -0.42813948458725853, -0.18304034361721105, -0.1312768182445628, 0.09898690455970825, -0.10065041357700552, -0.2413695318668726, 0.3603244327629606, 0.13147389596339226, 0.14408274569238225, 0.0408954825474038, 0.23398943459809138, 0.13927814100558558, 0.013400456491148188, 0.05029363527206615, 0.3190037386569505, 0.11932321168881442, 0.13086932815522664, -0.2587621203222495, -0.025483276245982518, 0.15488667460712827] |
707.4592 | One loop corrections to the mass of self-dual semi-local planar
topological solitons | A formula is derived that allows the computation of one-loop mass shifts for
self-dual semilocal topological solitons. These extended objects, which in
three spatial dimensions are called semi-local strings, arise in a generalized
Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of
global, SU(2), and local (gauge), U(1), symmetries, this weird system may seem
bizarre, but it is in fact the bosonic sector of electro-weak theory when the
weak mixing angle is of 90 degrees. The procedure for computing the
semi-classical mass shifts is based on canonical quantization and heat
kernel/zeta function regularization methods.
| hep-th | a formula is derived that allows the computation of oneloop mass shifts for selfdual semilocal topological solitons these extended objects which in three spatial dimensions are called semilocal strings arise in a generalized abelian higgs model with a doublet of complex higgs fields having a mixture of global su2 and local gauge u1 symmetries this weird system may seem bizarre but it is in fact the bosonic sector of electroweak theory when the weak mixing angle is of 90 degrees the procedure for computing the semiclassical mass shifts is based on canonical quantization and heat kernelzeta function regularization methods | [['a', 'formula', 'is', 'derived', 'that', 'allows', 'the', 'computation', 'of', 'oneloop', 'mass', 'shifts', 'for', 'selfdual', 'semilocal', 'topological', 'solitons', 'these', 'extended', 'objects', 'which', 'in', 'three', 'spatial', 'dimensions', 'are', 'called', 'semilocal', 'strings', 'arise', 'in', 'a', 'generalized', 'abelian', 'higgs', 'model', 'with', 'a', 'doublet', 'of', 'complex', 'higgs', 'fields', 'having', 'a', 'mixture', 'of', 'global', 'su2', 'and', 'local', 'gauge', 'u1', 'symmetries', 'this', 'weird', 'system', 'may', 'seem', 'bizarre', 'but', 'it', 'is', 'in', 'fact', 'the', 'bosonic', 'sector', 'of', 'electroweak', 'theory', 'when', 'the', 'weak', 'mixing', 'angle', 'is', 'of', '90', 'degrees', 'the', 'procedure', 'for', 'computing', 'the', 'semiclassical', 'mass', 'shifts', 'is', 'based', 'on', 'canonical', 'quantization', 'and', 'heat', 'kernelzeta', 'function', 'regularization', 'methods']] | [-0.1740122044463689, 0.21455752145677728, -0.09260315807404543, 0.16165414883289486, -0.09052453191969732, -0.18779120685513875, 0.004431244257527093, 0.33308144698314596, -0.20849426390810144, -0.25153020606611415, 0.04875729262777087, -0.22719967268619598, -0.12238087461652196, 0.10290360831740228, -0.03381932873456419, 0.027881847081277895, 0.002976802412909691, 0.05203413394881845, -0.13146569981061, -0.26490199598812997, 0.3206817542409731, -0.02606811315747862, 0.25663374985257786, 0.03911169896353826, 0.10153197816507233, -0.002671833707471237, -0.0016480193889671655, -0.02494043050771297, -0.09187299467782276, 0.12726059589873662, 0.19903494885210135, 0.03961738989561458, 0.14405317950730373, -0.35550972156113747, -0.22799033561552112, 0.1341068298471245, 0.1458965311664147, 0.14869316191661802, -0.0102512357025078, -0.2860587749329179, 0.06414761287239591, -0.18730855517023515, -0.13940798324377587, -0.13003144220147997, -0.019491676443416362, -0.07408981974885771, -0.2923016185199635, 0.11133630876899744, 0.027096878286836802, 0.0776478885908169, -0.025590164058329066, -0.10612332918022693, -0.08077953340993686, 0.00901334661187256, 0.10432063955507909, 0.03566633079629015, 0.12637741767773122, -0.18758473661728203, -0.1289174050901725, 0.3970131173052571, -0.0745316500319262, -0.22943799322555689, 0.15688219894843194, -0.10951249257983602, -0.16305758712361706, 0.1408828455164577, 0.09875976260412823, 0.12999019786160476, -0.12631273334401993, 0.21626181541965578, -0.07804354617014678, 0.14263263068190127, 0.05981962744504063, 0.0689188532267857, 0.2693433149087459, 0.09357732597202288, 0.07545254986752013, 0.08388111975062827, -0.05415632462216014, -0.1616105026462012, -0.37814825991488465, -0.1328555897849546, -0.13183784602454515, 0.08138577051630075, -0.11561962927784536, -0.1989985911947007, 0.3849860837382048, 0.09211149130303488, 0.15624294934248684, 0.03088010375910072, 0.26367752660874916, 0.12979032864060366, 0.11803083653759325, 0.03183277126288775, 0.22705086950927672, 0.2038009275395348, 0.051432678668825615, -0.21004299694940334, -0.08235566294987244, 0.18189824742236824] |
707.4593 | nu_e Disappearance in MiniBooNE | The anomalous excess of low-energy nu_e events measured in the MiniBooNE
experiment is explained through a renormalization of the absolute neutrino flux
and a simultaneous disappearance of the nu_e's in the beam, which is compatible
with that indicated by the results of Gallium radioactive source experiments.
We present the results of the fit of MiniBooNE data (P(nu_e->nu_e) = 0.64 +0.08
-0.07) and the combined fit of MiniBooNE data and the nu_e disappearance
measured in the Gallium radioactive source experiments, which gives
P(nu_e->nu_e) = 0.82 +- 0.04. We show that our interpretation of the data is
also compatible with an old indication in favor of nu_e disappearance found
from the analysis of the results of beam-dump experiments, leading to
P(nu_e->nu_e) = 0.80 +0.03 -0.04.
| hep-ph hep-ex physics.acc-ph | the anomalous excess of lowenergy nu_e events measured in the miniboone experiment is explained through a renormalization of the absolute neutrino flux and a simultaneous disappearance of the nu_es in the beam which is compatible with that indicated by the results of gallium radioactive source experiments we present the results of the fit of miniboone data pnu_enu_e 064 008 007 and the combined fit of miniboone data and the nu_e disappearance measured in the gallium radioactive source experiments which gives pnu_enu_e 082 004 we show that our interpretation of the data is also compatible with an old indication in favor of nu_e disappearance found from the analysis of the results of beamdump experiments leading to pnu_enu_e 080 003 004 | [['the', 'anomalous', 'excess', 'of', 'lowenergy', 'nu_e', 'events', 'measured', 'in', 'the', 'miniboone', 'experiment', 'is', 'explained', 'through', 'a', 'renormalization', 'of', 'the', 'absolute', 'neutrino', 'flux', 'and', 'a', 'simultaneous', 'disappearance', 'of', 'the', 'nu_es', 'in', 'the', 'beam', 'which', 'is', 'compatible', 'with', 'that', 'indicated', 'by', 'the', 'results', 'of', 'gallium', 'radioactive', 'source', 'experiments', 'we', 'present', 'the', 'results', 'of', 'the', 'fit', 'of', 'miniboone', 'data', 'pnu_enu_e', '064', '008', '007', 'and', 'the', 'combined', 'fit', 'of', 'miniboone', 'data', 'and', 'the', 'nu_e', 'disappearance', 'measured', 'in', 'the', 'gallium', 'radioactive', 'source', 'experiments', 'which', 'gives', 'pnu_enu_e', '082', '004', 'we', 'show', 'that', 'our', 'interpretation', 'of', 'the', 'data', 'is', 'also', 'compatible', 'with', 'an', 'old', 'indication', 'in', 'favor', 'of', 'nu_e', 'disappearance', 'found', 'from', 'the', 'analysis', 'of', 'the', 'results', 'of', 'beamdump', 'experiments', 'leading', 'to', 'pnu_enu_e', '080', '003', '004']] | [-0.04274787573816897, 0.16555986476060836, -0.06243936187478111, 0.08955723283511094, 0.00044195608337636757, -0.09239827720017932, 0.10987420314179436, 0.313804466997375, -0.1651630672555761, -0.3557500847803131, 0.023538574447244907, -0.4244034095215337, -0.010430046173297809, 0.22317943844099006, -0.027982667417210692, 0.026276358830284702, 0.11389903681931876, -0.004488659513910778, -0.09897715228163645, -0.15713845038426524, 0.20468506492877833, 0.1436445066674041, 0.30911882713969263, 0.11399649940587643, 0.06951273497910153, -0.07187386386183545, -0.10556155585629098, -0.05676640564685359, -0.1313502060866009, 0.0546583777230953, 0.2334762888553576, 0.08863894444178133, 0.05499939985980256, -0.3680673653666838, -0.13803248402873883, 0.09804649560266182, 0.11621131661089779, 0.003466203881177206, -0.09151581046367142, -0.3378991822187765, 0.07023736707740973, -0.18757214792417126, -0.14289747207902936, 0.0060626975487635916, -0.035783136236097884, -0.035890825163228675, -0.33304782350304996, 0.16062171234990893, -0.0021593853082417847, 0.06353579046783828, -0.11280236572825483, -0.19733380853441082, 0.0014978824202910442, 0.00996039672402524, 0.14313333688065127, 0.07558105856438457, 0.1080105292460169, -0.06942829521991187, -0.11736900665006843, 0.37978162175091373, -0.11641127400162841, -0.04631568245714953, 0.08830135118826724, -0.2099117870176477, -0.08668406014604603, 0.1992416609344738, 0.10216145584860645, 0.011967617665718803, -0.15892271319709467, -0.0014029042849105884, -0.0760413558308442, 0.19488191999252416, 0.04861202737621713, -0.019032149786959177, 0.21350975241903372, 0.23278606246115968, 0.02463293297826743, -0.004426897556262733, -0.2476153282307777, 0.025407600200915037, -0.35384617262214674, -0.09097559804472477, -0.0779194608995957, 0.08196439697434578, -0.07628633956458643, -0.09149601145357895, 0.3582534271941966, 0.11111845071779705, 0.28535050662437905, -0.03868359327120628, 0.25644192898630347, 0.04251120430554318, 0.041277163904629835, -0.016697816335510055, 0.3381258687395759, 0.129383156528039, 0.1189636760391295, -0.29043554630670537, 0.08475140437577702, -0.04855411422650228] |
707.4594 | Stability of steady states in kinetic Fokker-Planck equations for Bosons
and Fermions | We study a class of nonlinear kinetic Fokker-Planck type equations modeling
quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics,
respectively. We establish the existence of classical solutions in the
perturbative regime and prove exponential convergence towards the equilibrium.
| math.AP math-ph math.MP | we study a class of nonlinear kinetic fokkerplanck type equations modeling quantum particles which obey the boseeinstein and fermidirac statistics respectively we establish the existence of classical solutions in the perturbative regime and prove exponential convergence towards the equilibrium | [['we', 'study', 'a', 'class', 'of', 'nonlinear', 'kinetic', 'fokkerplanck', 'type', 'equations', 'modeling', 'quantum', 'particles', 'which', 'obey', 'the', 'boseeinstein', 'and', 'fermidirac', 'statistics', 'respectively', 'we', 'establish', 'the', 'existence', 'of', 'classical', 'solutions', 'in', 'the', 'perturbative', 'regime', 'and', 'prove', 'exponential', 'convergence', 'towards', 'the', 'equilibrium']] | [-0.12234726388198443, 0.1283569740346418, -0.153741719869849, 0.12936702019009644, -0.028628367835130446, -0.15667760772152972, 0.010781635619843235, 0.2227415265276646, -0.2633842920215848, -0.20841863674995226, 0.018368481485268626, -0.28657792499050116, -0.0913526412481681, 0.1403218281503098, 0.039511050600758144, 0.10858240078848141, 0.0430502989448798, -0.021366646847663782, -0.07253700264323598, -0.17885689683354053, 0.3068627221629215, -0.024563582270788267, 0.30836754464186156, -0.008986573976775011, 0.1465374972874251, -0.038695469671764814, 0.017205429717134207, -0.004837300076197164, -0.2501883544744207, 0.040951009535302334, 0.21498274855697766, 0.010495919620809264, 0.31289733927219343, -0.4303679541708567, -0.22020585782443866, 0.16631905333353922, 0.18213183217896864, 0.13461218397909155, -0.05292797877262227, -0.28134746906849056, 0.0319241970920792, -0.15377361791877028, -0.2505013594069542, -0.11591467695931594, -0.026594208935514476, 0.14950485612886646, -0.27948968809766644, 0.19141412184884152, 0.15562587405722111, 0.026221799317938395, -0.08610489537031987, -0.04449562013495523, 0.03968107456771227, 0.0031765692819578526, 0.02480117407722924, -0.10880208164095305, 0.0822964722218995, -0.20384205433611685, -0.09045676722262914, 0.329678215755102, -0.09676824390697174, -0.21736478106453058, 0.18418895601271054, -0.16807884278778845, -0.12981120076699135, 0.07992589359100048, 0.16963896607884613, 0.14164300879033712, -0.16466231524753264, 0.13557070603247923, -0.05213818179730039, 0.09815359383057325, 0.06259466411593632, 0.07518804768243662, 0.19128276305034375, 0.10709223059268716, 0.061389546936903246, 0.17291908462842306, -0.021790791923801105, -0.27435677269330394, -0.3715235638097884, -0.17283314499908534, -0.15421644440637186, 0.14974744665699127, -0.11116942216400415, -0.20771530270576477, 0.3487392407961381, 0.1483630987454373, 0.09623562050266908, 0.15364031825895205, 0.17233238068337625, 0.26687133359985477, -0.09741648183896756, 0.1028148416071184, 0.2668462635901494, 0.21857909266001138, 0.15251366446654385, -0.28644781874922604, -0.034692077563168146, 0.19475727549825722] |
707.4595 | Einstein solvmanifolds with a simple Einstein derivation | The structure of a solvable Lie groups admitting an Einstein left-invariant
metric is, in a sense, completely determined by the nilradical of its Lie
algebra. We give an easy-to-check necessary and sufficient condition for a
nilpotent algebra to be an Einstein nilradical whose Einstein derivation has
simple eigenvalues. As an application, we classify filiform Einstein
nilradicals (modulo known classification results on filiform graded Lie
algebras).
| math.DG | the structure of a solvable lie groups admitting an einstein leftinvariant metric is in a sense completely determined by the nilradical of its lie algebra we give an easytocheck necessary and sufficient condition for a nilpotent algebra to be an einstein nilradical whose einstein derivation has simple eigenvalues as an application we classify filiform einstein nilradicals modulo known classification results on filiform graded lie algebras | [['the', 'structure', 'of', 'a', 'solvable', 'lie', 'groups', 'admitting', 'an', 'einstein', 'leftinvariant', 'metric', 'is', 'in', 'a', 'sense', 'completely', 'determined', 'by', 'the', 'nilradical', 'of', 'its', 'lie', 'algebra', 'we', 'give', 'an', 'easytocheck', 'necessary', 'and', 'sufficient', 'condition', 'for', 'a', 'nilpotent', 'algebra', 'to', 'be', 'an', 'einstein', 'nilradical', 'whose', 'einstein', 'derivation', 'has', 'simple', 'eigenvalues', 'as', 'an', 'application', 'we', 'classify', 'filiform', 'einstein', 'nilradicals', 'modulo', 'known', 'classification', 'results', 'on', 'filiform', 'graded', 'lie', 'algebras']] | [-0.2194560741289304, -0.007617680172328479, -0.042432006649099865, 0.04831527658702376, -0.2608326321467757, -0.19417500877036498, -0.1395950982454591, 0.41170003726505316, -0.292092658751286, -0.19051257483661174, 0.16923766794363754, -0.20296423630072521, -0.15374716816541667, 0.18612306272754303, -0.19084705336449237, -0.1012271828385285, 0.051055577125113744, 0.2511444727603633, -0.1553171463525639, -0.3594949645169366, 0.4402083873175658, 0.031382067297370385, 0.17633780546199818, -0.0015833753519333327, 0.20486938763553134, -0.039564458904071495, 0.043541582448121445, 0.006516009268279259, -0.20758802300462356, 0.03148452024906874, 0.33444528389148986, 0.05619002514017316, 0.16390855523327796, -0.3137028753041075, -0.04005739544876493, 0.21699708968293496, 0.19170404465582508, 0.0364081656990143, -0.04835794397020856, -0.36106201192507376, 0.07311525522885719, -0.24419595616368148, -0.22002534478759536, -0.09306249763243474, 0.11680260172400336, -0.12642292241350964, -0.17571050039797018, 0.030672515083390934, 0.13190217031022677, 0.167205713092195, -0.20364585547672154, -0.054181689499707246, -0.040370104705485015, 0.038108830676915555, -0.1438936920872388, -0.05788118528345457, 0.10462201287826667, -0.008304856903851032, -0.19670656867361125, 0.4422935505325978, -0.015570380338109457, -0.2957274596220276, 0.0886627700036535, -0.1508287359530536, -0.17477690359720818, 0.09242140094104867, 0.01483475030041658, 0.15055511032159513, -0.1256420045526913, 0.2372728950693272, -0.17171945854161794, 0.005442816019058228, 0.07437137191971907, -0.028904395636457664, 0.15974426759908406, 0.1267955046433669, 0.10912755185451645, 0.06074810039717704, 0.19121970842019298, 0.0810185618698597, -0.41041999247211675, -0.18510783705860376, -0.1050681627713717, 0.215450130102153, -0.15190585627413103, -0.21041454817884817, 0.36502752295480323, 0.03113182602145781, 0.14362496990495577, 0.16728139121371965, 0.13598642183037904, 0.07988389026319895, 0.1462679055161201, 0.11412773965499722, 0.17258656833034294, 0.3627688031679449, -0.0590834475408953, -0.13339142027454307, -0.16036638757930352, 0.2456306450856993] |
707.4596 | Uniform convergence of exact large deviations for renewal reward
processes | Let (X_n,Y_n) be i.i.d. random vectors. Let W(x) be the partial sum of Y_n
just before that of X_n exceeds x>0. Motivated by stochastic models for neural
activity, uniform convergence of the form $\sup_{c\in I}|a(c,x)\operatorname
{Pr}\{W(x)\gecx\}-1|=o(1)$, $x\to\infty$, is established for probabilities of
large deviations, with a(c,x) a deterministic function and I an open interval.
To obtain this uniform exact large deviations principle (LDP), we first
establish the exponentially fast uniform convergence of a family of renewal
measures and then apply it to appropriately tilted distributions of X_n and the
moment generating function of W(x). The uniform exact LDP is obtained for cases
where X_n has a subcomponent with a smooth density and Y_n is not a linear
transform of X_n. An extension is also made to the partial sum at the first
exceedance time.
| math.PR | let x_ny_n be iid random vectors let wx be the partial sum of y_n just before that of x_n exceeds x0 motivated by stochastic models for neural activity uniform convergence of the form sup_cin iacxoperatorname prwxgecx1o1 xtoinfty is established for probabilities of large deviations with acx a deterministic function and i an open interval to obtain this uniform exact large deviations principle ldp we first establish the exponentially fast uniform convergence of a family of renewal measures and then apply it to appropriately tilted distributions of x_n and the moment generating function of wx the uniform exact ldp is obtained for cases where x_n has a subcomponent with a smooth density and y_n is not a linear transform of x_n an extension is also made to the partial sum at the first exceedance time | [['let', 'x_ny_n', 'be', 'iid', 'random', 'vectors', 'let', 'wx', 'be', 'the', 'partial', 'sum', 'of', 'y_n', 'just', 'before', 'that', 'of', 'x_n', 'exceeds', 'x0', 'motivated', 'by', 'stochastic', 'models', 'for', 'neural', 'activity', 'uniform', 'convergence', 'of', 'the', 'form', 'sup_cin', 'iacxoperatorname', 'prwxgecx1o1', 'xtoinfty', 'is', 'established', 'for', 'probabilities', 'of', 'large', 'deviations', 'with', 'acx', 'a', 'deterministic', 'function', 'and', 'i', 'an', 'open', 'interval', 'to', 'obtain', 'this', 'uniform', 'exact', 'large', 'deviations', 'principle', 'ldp', 'we', 'first', 'establish', 'the', 'exponentially', 'fast', 'uniform', 'convergence', 'of', 'a', 'family', 'of', 'renewal', 'measures', 'and', 'then', 'apply', 'it', 'to', 'appropriately', 'tilted', 'distributions', 'of', 'x_n', 'and', 'the', 'moment', 'generating', 'function', 'of', 'wx', 'the', 'uniform', 'exact', 'ldp', 'is', 'obtained', 'for', 'cases', 'where', 'x_n', 'has', 'a', 'subcomponent', 'with', 'a', 'smooth', 'density', 'and', 'y_n', 'is', 'not', 'a', 'linear', 'transform', 'of', 'x_n', 'an', 'extension', 'is', 'also', 'made', 'to', 'the', 'partial', 'sum', 'at', 'the', 'first', 'exceedance', 'time']] | [-0.1265937470127153, 0.1333584577462348, -0.08840547891276825, 0.05787383872066546, -0.02951323037313027, -0.13367810915801887, 0.05597112447473057, 0.3589011617431431, -0.33487072938569745, -0.1560713531812013, 0.10728384222024838, -0.27795442753251043, -0.07703393512629399, 0.150478694150722, -0.06547423289512917, 0.05771383058052254, 0.02505740435182593, 0.07545234182607809, -0.07109845885900311, -0.25719974808508655, 0.26411926840922534, -0.0010096404260692706, 0.23647144055776015, -0.038009072430005286, 0.1454234103350509, 0.025688989230125914, 0.015798836118250174, -0.0067244801582251575, -0.17188512927610186, 0.09380219423901716, 0.21488911801903487, 0.12961541811530372, 0.3053724320413445, -0.36303258232971414, -0.12653999815104913, 0.1963994145706182, 0.17494244566378325, 0.01567852038904342, -0.026074032391641886, -0.29129845613457317, 0.1489625059899995, -0.1381485015153885, -0.18101633280846255, -0.06257269683628137, 0.0903302620250362, 0.13007488991098323, -0.4295732179898342, 0.08025631862705865, 0.09832024059564103, 0.05201139281510966, 0.0059863642437511504, -0.14533311409079505, 0.017674630248336164, 0.08686475193782048, 0.07620870674967424, 0.08615863357691933, 0.06067242903478501, -0.04230188213836203, -0.07291043931547239, 0.30349601823827677, -0.10843540751552991, -0.22949045615711514, 0.07134735324501792, -0.19826663078967738, -0.14433901001102084, 0.11864439944047055, 0.14619738191991816, 0.1563857554294567, -0.1632008118562059, 0.14547643056743642, -0.09051647536431702, 0.13162634360607542, 0.06003743827072833, 0.009905932014381499, 0.14887593033943922, 0.11333429685417022, 0.13898691722149215, 0.14910248290384828, -0.05076043073528709, -0.09780738013974241, -0.3545275494626915, -0.12483124206916123, -0.24704336948721237, 0.17249979039857197, -0.15358506161577373, -0.20187333347773506, 0.2980307338471375, 0.08200736283253565, 0.24075365154684045, 0.17086588739922257, 0.23030675639832066, 0.1861131805108988, -0.033382200344487, 0.07609421593485442, 0.09715163940563798, 0.19465306782846176, 0.05170812464909244, -0.11941751825822275, 0.12259921921374461, 0.11735181756431365] |
707.4597 | Side-information Scalable Source Coding | The problem of side-information scalable (SI-scalable) source coding is
considered in this work, where the encoder constructs a progressive
description, such that the receiver with high quality side information will be
able to truncate the bitstream and reconstruct in the rate distortion sense,
while the receiver with low quality side information will have to receive
further data in order to decode. We provide inner and outer bounds for general
discrete memoryless sources. The achievable region is shown to be tight for the
case that either of the decoders requires a lossless reconstruction, as well as
the case with degraded deterministic distortion measures. Furthermore we show
that the gap between the achievable region and the outer bounds can be bounded
by a constant when square error distortion measure is used. The notion of
perfectly scalable coding is introduced as both the stages operate on the
Wyner-Ziv bound, and necessary and sufficient conditions are given for sources
satisfying a mild support condition. Using SI-scalable coding and successive
refinement Wyner-Ziv coding as basic building blocks, a complete
characterization is provided for the important quadratic Gaussian source with
multiple jointly Gaussian side-informations, where the side information quality
does not have to be monotonic along the scalable coding order. Partial result
is provided for the doubly symmetric binary source with Hamming distortion when
the worse side information is a constant, for which one of the outer bound is
strictly tighter than the other one.
| cs.IT math.IT | the problem of sideinformation scalable siscalable source coding is considered in this work where the encoder constructs a progressive description such that the receiver with high quality side information will be able to truncate the bitstream and reconstruct in the rate distortion sense while the receiver with low quality side information will have to receive further data in order to decode we provide inner and outer bounds for general discrete memoryless sources the achievable region is shown to be tight for the case that either of the decoders requires a lossless reconstruction as well as the case with degraded deterministic distortion measures furthermore we show that the gap between the achievable region and the outer bounds can be bounded by a constant when square error distortion measure is used the notion of perfectly scalable coding is introduced as both the stages operate on the wynerziv bound and necessary and sufficient conditions are given for sources satisfying a mild support condition using siscalable coding and successive refinement wynerziv coding as basic building blocks a complete characterization is provided for the important quadratic gaussian source with multiple jointly gaussian sideinformations where the side information quality does not have to be monotonic along the scalable coding order partial result is provided for the doubly symmetric binary source with hamming distortion when the worse side information is a constant for which one of the outer bound is strictly tighter than the other one | [['the', 'problem', 'of', 'sideinformation', 'scalable', 'siscalable', 'source', 'coding', 'is', 'considered', 'in', 'this', 'work', 'where', 'the', 'encoder', 'constructs', 'a', 'progressive', 'description', 'such', 'that', 'the', 'receiver', 'with', 'high', 'quality', 'side', 'information', 'will', 'be', 'able', 'to', 'truncate', 'the', 'bitstream', 'and', 'reconstruct', 'in', 'the', 'rate', 'distortion', 'sense', 'while', 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0.039125742931577466] |
707.4598 | On the fraction of intermediate-mass close binaries that explode as
type-Ia supernovae | Type-Ia supernovae (SNe-Ia) are thought to result from a thermonuclear
runaway in white dwarfs (WDs) that approach the Chandrasekhar limit, either
through accretion from a companion or a merger with another WD. I compile
observational estimates of the fraction eta of intermediate-mass stars that
eventually explode as SNe-Ia, supplement them with several new estimates, and
compare them self-consistently. The estimates are based on five different
methods, each utilising some observable related to the SN-Ia rate, combined
with assumptions regarding the IMF: the ratio of SN-Ia to core-collapse rates
in star-forming galaxies; the SN-Ia rate per unit star-formation rate; the
SN-Ia rate per unit stellar mass; the iron to stellar mass ratio in galaxy
clusters; and the abundance ratios in galaxy clusters. The five methods
indicate that a fraction in the range eta~2-40% of all stars with initial
masses of 3-8 M_sun (the generally assumed SN-Ia progenitors) explode as
SNe-Ia. A fraction of eta~15% is consistent with all five methods for a range
of plausible IMFs. Considering also the binarity fraction among such stars, the
mass ratio distribution, the separation distribution, and duplicity (every
binary can produce only one SN-Ia explosion), this implies that nearly every
intermediate mass close binary ends up as a SN-Ia, or possibly more SNe-Ia than
progenitor systems. Theoretically expected fractions are generally one to two
orders of magnitude lower. The problem could be solved: if all the
observational estimates are in error; or with a ``middle-heavy'' IMF; or by
some mechanism that strongly enhances the efficiency of binary evolution toward
SN-Ia explosion; or by a non-binary origin for SNe-Ia.
| astro-ph | typeia supernovae sneia are thought to result from a thermonuclear runaway in white dwarfs wds that approach the chandrasekhar limit either through accretion from a companion or a merger with another wd i compile observational estimates of the fraction eta of intermediatemass stars that eventually explode as sneia supplement them with several new estimates and compare them selfconsistently the estimates are based on five different methods each utilising some observable related to the snia rate combined with assumptions regarding the imf the ratio of snia to corecollapse rates in starforming galaxies the snia rate per unit starformation rate the snia rate per unit stellar mass the iron to stellar mass ratio in galaxy clusters and the abundance ratios in galaxy clusters the five methods indicate that a fraction in the range eta240 of all stars with initial masses of 38 m_sun the generally assumed snia progenitors explode as sneia a fraction of eta15 is consistent with all five methods for a range of plausible imfs considering also the binarity fraction among such stars the mass ratio distribution the separation distribution and duplicity every binary can produce only one snia explosion this implies that nearly every intermediate mass close binary ends up as a snia or possibly more sneia than progenitor systems theoretically expected fractions are generally one to two orders of magnitude lower the problem could be solved if all the observational estimates are in error or with a middleheavy imf or by some mechanism that strongly enhances the efficiency of binary evolution toward snia explosion or by a nonbinary origin for sneia | [['typeia', 'supernovae', 'sneia', 'are', 'thought', 'to', 'result', 'from', 'a', 'thermonuclear', 'runaway', 'in', 'white', 'dwarfs', 'wds', 'that', 'approach', 'the', 'chandrasekhar', 'limit', 'either', 'through', 'accretion', 'from', 'a', 'companion', 'or', 'a', 'merger', 'with', 'another', 'wd', 'i', 'compile', 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707.4599 | Near-Infrared Surface Photometry of a Sample of Barred Galaxies | We have obtained deep J and Ks images of a sample of nine barred galaxies in
order to collect a reliable and homogeneous set of images to which N-body
simulations of barred galaxies will be compared. The observations were
performed using the new near-infrared camera available at the 2.1-m telescope
of the Observatorio Astrofisico Guillermo Haro (OAGH) in Cananea, Sonora,
Mexico. We present the results of surface photometry techniques applied to the
observed images, as well as to the deprojected images. These results include
radial profiles of surface brightness (elliptically averaged), colour, position
angle, ellipticity and the b4 Fourier component. In addition, we present
isophotal maps, colour maps, surface brightness profiles along the bar major
and minor axes, characteristic radial scale-lengths and bar length estimates.
We discuss how projection effects can influence these measurements and the
uncertainties introduced by deprojecting galaxy images. We show that analytical
expressions can be used to obtain reliable estimates of deprojected bar
lengths, ellipticities and position angles directly from the observed images.
These expressions are based on the assumption that the outer parts of the bar
are vertically thin, as shown by theoretical work. The usefulness of our data
in addressing issues on bar formation and evolution is also discussed. In
particular, we present results showing a steep drop in the ellipticity profile,
as expected for bar formation processes in which the dark matter halo plays a
fundamental role. Furthermore, we show that the location of this drop is a good
indicator of the end of the bar in strongly barred galaxies, as predicted by
numerical models.
| astro-ph | we have obtained deep j and ks images of a sample of nine barred galaxies in order to collect a reliable and homogeneous set of images to which nbody simulations of barred galaxies will be compared the observations were performed using the new nearinfrared camera available at the 21m telescope of the observatorio astrofisico guillermo haro oagh in cananea sonora mexico we present the results of surface photometry techniques applied to the observed images as well as to the deprojected images these results include radial profiles of surface brightness elliptically averaged colour position angle ellipticity and the b4 fourier component in addition we present isophotal maps colour maps surface brightness profiles along the bar major and minor axes characteristic radial scalelengths and bar length estimates we discuss how projection effects can influence these measurements and the uncertainties introduced by deprojecting galaxy images we show that analytical expressions can be used to obtain reliable estimates of deprojected bar lengths ellipticities and position angles directly from the observed images these expressions are based on the assumption that the outer parts of the bar are vertically thin as shown by theoretical work the usefulness of our data in addressing issues on bar formation and evolution is also discussed in particular we present results showing a steep drop in the ellipticity profile as expected for bar formation processes in which the dark matter halo plays a fundamental role furthermore we show that the location of this drop is a good indicator of the end of the bar in strongly barred galaxies as predicted by numerical models | [['we', 'have', 'obtained', 'deep', 'j', 'and', 'ks', 'images', 'of', 'a', 'sample', 'of', 'nine', 'barred', 'galaxies', 'in', 'order', 'to', 'collect', 'a', 'reliable', 'and', 'homogeneous', 'set', 'of', 'images', 'to', 'which', 'nbody', 'simulations', 'of', 'barred', 'galaxies', 'will', 'be', 'compared', 'the', 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'indicator', 'of', 'the', 'end', 'of', 'the', 'bar', 'in', 'strongly', 'barred', 'galaxies', 'as', 'predicted', 'by', 'numerical', 'models']] | [-0.06516659920410049, 0.04287394191909809, -0.12603307473082237, 0.0834765673551943, -0.055834657096709234, -0.04910108278939174, -0.016210838123260223, 0.4451135986178886, -0.18598281754045712, -0.3378660640313169, 0.07826599574342143, -0.28023421546828203, -0.10622651191145707, 0.20142990808208822, -0.06206884419630843, 0.027519346037986225, 0.0618228358907522, -0.09502449975071744, -0.06612897754819239, -0.25207596158147577, 0.2922988908413357, 0.045131249311411194, 0.2134124403318456, -0.0025423772460674396, 0.058976804506556194, -0.0409896855885945, -0.09039636693791778, 0.011381246367263259, -0.20109491080055364, 0.059502326414159694, 0.24306369666516958, 0.10105036067925678, 0.1713628601149535, -0.40804308859745503, -0.1602360422630574, 0.03759159594027766, 0.18054721437266652, 0.06492428809230194, -0.08036378435817199, 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707.46 | Heavy traffic limit for a processor sharing queue with soft deadlines | This paper considers a GI/GI/1 processor sharing queue in which jobs have
soft deadlines. At each point in time, the collection of residual service times
and deadlines is modeled using a random counting measure on the right
half-plane. The limit of this measure valued process is obtained under
diffusion scaling and heavy traffic conditions and is characterized as a
deterministic function of the limiting queue length process. As special cases,
one obtains diffusion approximations for the lead time profile and the profile
of times in queue. One also obtains a snapshot principle for sojourn times.
| math.PR | this paper considers a gigi1 processor sharing queue in which jobs have soft deadlines at each point in time the collection of residual service times and deadlines is modeled using a random counting measure on the right halfplane the limit of this measure valued process is obtained under diffusion scaling and heavy traffic conditions and is characterized as a deterministic function of the limiting queue length process as special cases one obtains diffusion approximations for the lead time profile and the profile of times in queue one also obtains a snapshot principle for sojourn times | [['this', 'paper', 'considers', 'a', 'gigi1', 'processor', 'sharing', 'queue', 'in', 'which', 'jobs', 'have', 'soft', 'deadlines', 'at', 'each', 'point', 'in', 'time', 'the', 'collection', 'of', 'residual', 'service', 'times', 'and', 'deadlines', 'is', 'modeled', 'using', 'a', 'random', 'counting', 'measure', 'on', 'the', 'right', 'halfplane', 'the', 'limit', 'of', 'this', 'measure', 'valued', 'process', 'is', 'obtained', 'under', 'diffusion', 'scaling', 'and', 'heavy', 'traffic', 'conditions', 'and', 'is', 'characterized', 'as', 'a', 'deterministic', 'function', 'of', 'the', 'limiting', 'queue', 'length', 'process', 'as', 'special', 'cases', 'one', 'obtains', 'diffusion', 'approximations', 'for', 'the', 'lead', 'time', 'profile', 'and', 'the', 'profile', 'of', 'times', 'in', 'queue', 'one', 'also', 'obtains', 'a', 'snapshot', 'principle', 'for', 'sojourn', 'times']] | [-0.16479352495976185, 0.09820841931198773, -0.09189117727801203, 0.04165146137410806, 0.014010048797354102, -0.1846154942520355, 0.12423526283329059, 0.3898711586076962, -0.2709408678653601, -0.23452745903479424, 0.1526173934083138, -0.28267859246238675, -0.027369548409785095, 0.16288068431282515, -0.08835536186142187, 0.08472842656468091, 0.052215474116076764, 0.11504223623165959, -0.00039101647654254186, -0.24767332360589583, 0.25980093910505897, 0.0391136453437962, 0.30152108334985217, 0.030864631665846038, 0.14169897225832467, 0.052199293771072436, -0.017030283318538415, -0.03703846115188897, -0.10394266801151006, 0.0059780340249601166, 0.22585814921307917, 0.1146504317802426, 0.26318627141023937, -0.4395439134616601, -0.18121325986361816, 0.12523976283111168, 0.1397493366201065, 0.0012678824794037562, 0.013184811943210662, -0.2510016539967374, 0.07411125728762463, -0.1540868670140442, -0.11083683825318555, 0.024152859364097057, 0.03974661773168727, 0.060168920535790295, -0.3164159271964117, 0.06502851042865873, 0.03379073482202856, 0.0017374488672143534, -0.03925146694834295, -0.08033905446921524, 0.04218039968737254, 0.14152788405159586, 0.10437972062010024, 0.004891249473745886, 0.15876087476744463, -0.11131636499378242, -0.12143926298441855, 0.40987592121880306, -0.0518454175932627, -0.19333480885742527, 0.1258770555404848, -0.10070839695828526, -0.15897969362681338, 0.12139519163235826, 0.19953625151691468, 0.10831533196921411, -0.20381173599315316, 0.06648836926753192, -0.06357404246044002, 0.12893486052512584, 0.13958264777044715, 0.04477983211216174, 0.12480363427220206, 0.22212012861120073, 0.1540522098994667, 0.15057225437148622, -0.08215790011822001, -0.13692772401202666, -0.2920681484043598, -0.17110537585165156, -0.2068652496330048, 0.08041169677484217, -0.13793167990424032, -0.14900683809659984, 0.3819166653740563, 0.08931220375785702, 0.20612234763899132, 0.1946255679303584, 0.29725028661716923, 0.21988842463561972, 0.013559160021280771, 0.12382615026772807, 0.06072195495331758, 0.04586000457087434, 0.1669885616847559, -0.158604401582852, 0.13959374373876735, 0.07717339895469577] |
707.4601 | Violation of the isotropic-$\ell$ approximation in overdoped
La_{2-x}Sr_xCuO_4 | Magnetotransport measurements on the overdoped cuprate La_{1.7}Sr_{0.3}CuO_4
are fitted using the Ong construction and band parameters inferred from
angle-resolved photoemission. Within a band picture, the low temperature Hall
data can only be fitted satisfactorily by invoking strong basal-plane
anisotropy in the mean-free-path $\ell$. This violation of the isotropic-$\ell$
approximation supports a picture of dominant small-angle elastic scattering in
cuprates due to out-of-plane substitutional disorder. We show that both band
anisotropy and anisotropy in the elastic scattering channel strongly
renormalize the Hall coefficient in overdoped La_{2-x}Sr_xCuO_4 over a wide
doping and temperature range.
| cond-mat.supr-con cond-mat.str-el | magnetotransport measurements on the overdoped cuprate la_17sr_03cuo_4 are fitted using the ong construction and band parameters inferred from angleresolved photoemission within a band picture the low temperature hall data can only be fitted satisfactorily by invoking strong basalplane anisotropy in the meanfreepath ell this violation of the isotropicell approximation supports a picture of dominant smallangle elastic scattering in cuprates due to outofplane substitutional disorder we show that both band anisotropy and anisotropy in the elastic scattering channel strongly renormalize the hall coefficient in overdoped la_2xsr_xcuo_4 over a wide doping and temperature range | [['magnetotransport', 'measurements', 'on', 'the', 'overdoped', 'cuprate', 'la_17sr_03cuo_4', 'are', 'fitted', 'using', 'the', 'ong', 'construction', 'and', 'band', 'parameters', 'inferred', 'from', 'angleresolved', 'photoemission', 'within', 'a', 'band', 'picture', 'the', 'low', 'temperature', 'hall', 'data', 'can', 'only', 'be', 'fitted', 'satisfactorily', 'by', 'invoking', 'strong', 'basalplane', 'anisotropy', 'in', 'the', 'meanfreepath', 'ell', 'this', 'violation', 'of', 'the', 'isotropicell', 'approximation', 'supports', 'a', 'picture', 'of', 'dominant', 'smallangle', 'elastic', 'scattering', 'in', 'cuprates', 'due', 'to', 'outofplane', 'substitutional', 'disorder', 'we', 'show', 'that', 'both', 'band', 'anisotropy', 'and', 'anisotropy', 'in', 'the', 'elastic', 'scattering', 'channel', 'strongly', 'renormalize', 'the', 'hall', 'coefficient', 'in', 'overdoped', 'la_2xsr_xcuo_4', 'over', 'a', 'wide', 'doping', 'and', 'temperature', 'range']] | [-0.15372883116102054, 0.2213609324199044, -0.056861004347188604, 0.04126734167932429, -0.071188929467462, -0.16829738209748435, 0.1103663760677187, 0.4058192966712846, -0.3008134198271566, -0.29103461217859555, -0.07629419160592887, -0.3704985196495222, -0.07898249801041352, 0.1976740530692041, 0.0544059917718793, 0.017557239284118016, -0.0436734618502669, -0.15019955318421124, -0.1269344578885163, -0.17668223153644552, 0.2709971341511442, 0.057010367098781795, 0.33788669804732, 0.1366377949067909, -0.02527717784849099, 0.10382179894174139, 0.12006389660139878, 0.08061283479134242, -0.19414710456080178, 0.0025313044277330238, 0.3546392067309676, -0.1800182549541609, 0.08959676241760867, -0.38880093577835295, -0.2604077356114026, -0.06664174634093392, 0.17101658747738435, 0.13805113021646523, -0.015761417467405812, -0.24561447749535242, -0.008676428761747148, -0.15179161582556036, -0.09786491232096321, -0.15001594321802258, -0.049907293356955054, -0.07249654166193473, -0.23955538037957416, 0.17765290453616117, 0.006060675984351999, 0.11213607502480348, -0.16765916804013412, -0.14273149994405684, -0.0902525239986264, -0.050792372557852, 0.09422398708088117, 0.06127591440842176, 0.15782707381683092, -0.10653180452839782, -0.07568175945844915, 0.32836679230547616, -0.0516311341482732, -0.03927753512495353, 0.07662638948984547, -0.2863659577082015, -0.07906021083601647, 0.18444916649411122, 0.10157512561935518, 0.045467503612033194, -0.1369359871579541, 0.1519924382145594, -0.07146408173203882, 0.2280758933681581, 0.07424910427329855, 0.07082138451126714, 0.23758933326979687, 0.19459141353662643, -0.026478439067593878, 0.05242740123713803, -0.17941670796782191, 0.06071212561801076, -0.23596572101944022, -0.060709294798693414, -0.2550403004719151, 0.1018719338811934, -0.11876333684922429, -0.17937493220670148, 0.35475060298469746, 0.1522839653202229, 0.23883799218262236, -0.057708371140890655, 0.23954276209697128, 0.11456064525862328, 0.06414810508463739, 0.07365212411516242, 0.27112988082226364, 0.19150733041654652, 0.12819733369138298, -0.3607986777632808, 0.13335917299716837, -0.0560845451326006] |
707.4602 | Geometry of the theta divisor of a compactified jacobian | We study the theta divisor of the compactified jacobian of a nodal, possibly
reducible, curve. We compute its irreducible components and give it a geometric
interpretation consistent with the classical Brill-Noether theory of smooth
curves. Some applications on hyperelliptic stable curves are appended.
| math.AG | we study the theta divisor of the compactified jacobian of a nodal possibly reducible curve we compute its irreducible components and give it a geometric interpretation consistent with the classical brillnoether theory of smooth curves some applications on hyperelliptic stable curves are appended | [['we', 'study', 'the', 'theta', 'divisor', 'of', 'the', 'compactified', 'jacobian', 'of', 'a', 'nodal', 'possibly', 'reducible', 'curve', 'we', 'compute', 'its', 'irreducible', 'components', 'and', 'give', 'it', 'a', 'geometric', 'interpretation', 'consistent', 'with', 'the', 'classical', 'brillnoether', 'theory', 'of', 'smooth', 'curves', 'some', 'applications', 'on', 'hyperelliptic', 'stable', 'curves', 'are', 'appended']] | [-0.268585326095913, 0.04711898135259574, -0.20110364258289337, 0.10498209670186043, -0.1428569395874822, -0.23677663659936812, 0.017788005589377567, 0.31914637003602936, -0.2979944216650586, -0.15144913750808947, 0.12022816588246632, -0.2601419793506868, -0.18867328661212393, 0.2504950957156198, -0.1918900243634748, 0.012163645543190542, 0.061588490181494246, 0.0539894574863273, -0.15676788326222882, -0.3460940860731657, 0.38623080576964935, -0.13093697121583445, 0.16713919566922583, 0.060483365939648516, 0.11146950206264507, 0.03282269854964905, -0.017528153739349787, -0.050445890790501303, -0.17794815132524386, 0.21415317970122275, 0.29659796109812897, 0.07619047394498836, 0.06191925895075465, -0.360838528116082, -0.2049763882207836, 0.23254243033223373, 0.08295587225015773, 0.01657970217164866, 0.03837429602944487, -0.19504074492426807, 0.028803824750316696, -0.1048810670130648, -0.3144769859175349, -0.12346856101134489, 0.06365101840780225, 0.032613794335575645, -0.11766598074761934, -0.012269306971236717, 0.05876542255282402, 0.21631746098052623, -0.041725296627318616, -0.13072799648656402, -0.09238488850898521, -0.016781982651716747, 0.06508230557935962, 0.07276685233227909, 0.058079649261090646, -0.1437617019685202, -0.05147652392990367, 0.34727924734050797, -0.07757960560969836, -0.1743801749029825, 0.10602577037156322, -0.09306863981277444, -0.12519914579989258, 0.19563988398024162, 0.12172285608167566, 0.21016941540116488, 0.02157151268058738, 0.17695792333282487, -0.09100455799421599, 0.07104749089583408, 0.06308648426445786, -0.04895927757024765, 0.20244439083508886, 0.023222434637678223, 0.026935851454381494, 0.11679921453537116, -0.04910233258919487, -0.09482052755747856, -0.4345315330943396, -0.16690420547803475, -0.09587937715831538, 0.15559834483361176, -0.17145336899049526, -0.23573659351745316, 0.47883857864626617, 0.03230164171234423, 0.25018624902897796, 0.119158954318981, 0.23439359344368757, 0.09912026127350929, -0.008653531988086395, 0.06817077210736136, 0.1433019667063829, 0.2348191878693395, -0.06314211272699542, -0.1807973095118393, 0.009230757359588561, 0.16689668838367905] |
707.4603 | Improved Laboratory Transition Probabilities for Neutral Chromium and
Re-determination of the Chromium Abundance for the Sun and Three Stars | Branching fraction measurements from Fourier transform spectra in conjunction
with published radiative lifetimes are used to determine transition
probabilities for 263 lines of neutral chromium. These laboratory values are
employed to derive a new photospheric abundance for the Sun: log $\epsilon$(Cr
I)$_{\odot}$ = 5.64$\pm$0.01 ($\sigma = 0.07$). These Cr I solar abundances do
not exhibit any trends with line strength nor with excitation energy and there
were no obvious indications of departures from LTE. In addition, oscillator
strengths for singly-ionized chromium recently reported by the FERRUM Project
are used to determine: log $\epsilon$(Cr II)$_{\odot}$ = 5.77$\pm$0.03 ($\sigma
= 0.13$). Transition probability data are also applied to the spectra of three
stars: HD 75732 (metal-rich dwarf), HD 140283 (metal-poor subgiant), and CS
22892-052 (metal-poor giant). In all of the selected stars, Cr I is found to be
underabundant with respect to Cr II. The possible causes for this abundance
discrepancy and apparent ionization imbalance are discussed.
| astro-ph | branching fraction measurements from fourier transform spectra in conjunction with published radiative lifetimes are used to determine transition probabilities for 263 lines of neutral chromium these laboratory values are employed to derive a new photospheric abundance for the sun log epsiloncr i_odot 564pm001 sigma 007 these cr i solar abundances do not exhibit any trends with line strength nor with excitation energy and there were no obvious indications of departures from lte in addition oscillator strengths for singlyionized chromium recently reported by the ferrum project are used to determine log epsiloncr ii_odot 577pm003 sigma 013 transition probability data are also applied to the spectra of three stars hd 75732 metalrich dwarf hd 140283 metalpoor subgiant and cs 22892052 metalpoor giant in all of the selected stars cr i is found to be underabundant with respect to cr ii the possible causes for this abundance discrepancy and apparent ionization imbalance are discussed | [['branching', 'fraction', 'measurements', 'from', 'fourier', 'transform', 'spectra', 'in', 'conjunction', 'with', 'published', 'radiative', 'lifetimes', 'are', 'used', 'to', 'determine', 'transition', 'probabilities', 'for', '263', 'lines', 'of', 'neutral', 'chromium', 'these', 'laboratory', 'values', 'are', 'employed', 'to', 'derive', 'a', 'new', 'photospheric', 'abundance', 'for', 'the', 'sun', 'log', 'epsiloncr', 'i_odot', '564pm001', 'sigma', '007', 'these', 'cr', 'i', 'solar', 'abundances', 'do', 'not', 'exhibit', 'any', 'trends', 'with', 'line', 'strength', 'nor', 'with', 'excitation', 'energy', 'and', 'there', 'were', 'no', 'obvious', 'indications', 'of', 'departures', 'from', 'lte', 'in', 'addition', 'oscillator', 'strengths', 'for', 'singlyionized', 'chromium', 'recently', 'reported', 'by', 'the', 'ferrum', 'project', 'are', 'used', 'to', 'determine', 'log', 'epsiloncr', 'ii_odot', '577pm003', 'sigma', '013', 'transition', 'probability', 'data', 'are', 'also', 'applied', 'to', 'the', 'spectra', 'of', 'three', 'stars', 'hd', '75732', 'metalrich', 'dwarf', 'hd', '140283', 'metalpoor', 'subgiant', 'and', 'cs', '22892052', 'metalpoor', 'giant', 'in', 'all', 'of', 'the', 'selected', 'stars', 'cr', 'i', 'is', 'found', 'to', 'be', 'underabundant', 'with', 'respect', 'to', 'cr', 'ii', 'the', 'possible', 'causes', 'for', 'this', 'abundance', 'discrepancy', 'and', 'apparent', 'ionization', 'imbalance', 'are', 'discussed']] | [-0.03730502265883444, 0.14250131903299168, 0.03239287181838323, 0.0872870784696217, -0.046029092523920005, -0.15980340707855784, 0.0773233770263662, 0.4435904977256305, -0.1273093620452341, -0.3472154563382963, -0.026113451183422738, -0.33846517058395564, -0.00937200875431363, 0.14971164154919017, -0.0370814904940557, -0.011980161060358251, 0.05481626368159658, -0.017416313190127992, -0.052953201907843174, -0.22131640205561656, 0.2649722201000159, 0.045552820357978856, 0.18430861377488975, -0.043113273198473946, -0.07106986914184071, -0.17856463438620765, -0.05551431089486569, -0.026899596516757388, -0.17454697791971777, 0.040288013068015036, 0.27786444691456347, 0.12370789185651157, 0.11608389430768686, -0.36122704206723466, -0.1863006474523987, 0.10232110798665106, 0.19659584311908748, 0.051836436955666504, -0.09504602418348117, -0.2522208484604138, 0.09211574063623605, -0.12802964799131636, -0.1464389536899757, 0.01075974200399312, 0.0746333707277089, 0.03265502618319572, -0.2795679873375426, 0.09841322499843257, 0.006748576324803066, 0.16030284284202587, -0.1039910771870469, -0.22855686534145106, -0.08303576574520502, 0.06860019948193166, 0.02361010703137017, 0.023769092416767133, 0.1389297443499457, -0.0036083393178446446, -0.016293850641263877, 0.43930944614750267, -0.17274750683341838, -0.024569452395790243, 0.20496827974430706, -0.1868623160096906, -0.19756481547804855, 0.17756064814732295, 0.11062179774277978, 0.09940174354355119, -0.15842202019380175, 0.023443576717535546, 0.02319074469962961, 0.19078630623917975, 0.05984828629760607, 0.05435068239154907, 0.22930902243936307, 0.050539418787070335, 0.0017911752515268346, -0.008749477315314547, -0.22952411872373052, -0.05468191173045628, -0.19681113960910335, -0.14228310050085596, -0.06854318557043994, 0.07669064269430237, -0.0708714203446767, -0.1265558909293111, 0.2903047862960255, 0.12890143826929215, 0.2313425723361234, -0.00790609863318809, 0.2576966419343977, 0.13939634038690377, 0.06758435699157417, 0.10271383000997035, 0.3146501965119108, 0.23858657239757683, 0.12209849330287248, -0.26834086489972137, 0.11645804653709678, 0.009886680670044296] |
707.4604 | Electronic and Vibrational Properties of gamma-AlH3 | Aluminum hydride (alane) AlH_3 is an important material in hydrogen storage
applications. It is known that AlH_3 exists in multiply forms of polymorphs,
where $\alpha$-AlH_3 is found to be the most stable with a hexagonal structure.
Recent experimental studies on $\gamma$-AlH_3 reported an orthorhombic
structure with a unique double-bridge bond between certain Al and H atoms. This
was not found in $\alpha$-AlH_3 or other polymorphs. Using density functional
theory, we have investigated the energetics, and the structural, electronic,
and phonon vibrational properties for the newly reported $\gamma$-AlH_3
structure. The current calculation concludes that $\gamma$-AlH_3 is less stable
than $\alpha$-AlH_3 by 2.1 KJ/mol. Interesting binding features associated with
the unique geometry of $\gamma$-AlH3 are discussed from the calculated
electronic properties and phonon vibrational modes. The binding of H-s with
higher energy Al-p,d orbitals is enhanced within the double-bridge arrangement,
giving rise to a higher electronic energy for the system. Distinguishable new
features in the vibrational spectrum of $\gamma$-AlH_3 were attributed to the
double-bridge and hexagonal-ring structures.
| cond-mat.mtrl-sci | aluminum hydride alane alh_3 is an important material in hydrogen storage applications it is known that alh_3 exists in multiply forms of polymorphs where alphaalh_3 is found to be the most stable with a hexagonal structure recent experimental studies on gammaalh_3 reported an orthorhombic structure with a unique doublebridge bond between certain al and h atoms this was not found in alphaalh_3 or other polymorphs using density functional theory we have investigated the energetics and the structural electronic and phonon vibrational properties for the newly reported gammaalh_3 structure the current calculation concludes that gammaalh_3 is less stable than alphaalh_3 by 21 kjmol interesting binding features associated with the unique geometry of gammaalh3 are discussed from the calculated electronic properties and phonon vibrational modes the binding of hs with higher energy alpd orbitals is enhanced within the doublebridge arrangement giving rise to a higher electronic energy for the system distinguishable new features in the vibrational spectrum of gammaalh_3 were attributed to the doublebridge and hexagonalring structures | [['aluminum', 'hydride', 'alane', 'alh_3', 'is', 'an', 'important', 'material', 'in', 'hydrogen', 'storage', 'applications', 'it', 'is', 'known', 'that', 'alh_3', 'exists', 'in', 'multiply', 'forms', 'of', 'polymorphs', 'where', 'alphaalh_3', 'is', 'found', 'to', 'be', 'the', 'most', 'stable', 'with', 'a', 'hexagonal', 'structure', 'recent', 'experimental', 'studies', 'on', 'gammaalh_3', 'reported', 'an', 'orthorhombic', 'structure', 'with', 'a', 'unique', 'doublebridge', 'bond', 'between', 'certain', 'al', 'and', 'h', 'atoms', 'this', 'was', 'not', 'found', 'in', 'alphaalh_3', 'or', 'other', 'polymorphs', 'using', 'density', 'functional', 'theory', 'we', 'have', 'investigated', 'the', 'energetics', 'and', 'the', 'structural', 'electronic', 'and', 'phonon', 'vibrational', 'properties', 'for', 'the', 'newly', 'reported', 'gammaalh_3', 'structure', 'the', 'current', 'calculation', 'concludes', 'that', 'gammaalh_3', 'is', 'less', 'stable', 'than', 'alphaalh_3', 'by', '21', 'kjmol', 'interesting', 'binding', 'features', 'associated', 'with', 'the', 'unique', 'geometry', 'of', 'gammaalh3', 'are', 'discussed', 'from', 'the', 'calculated', 'electronic', 'properties', 'and', 'phonon', 'vibrational', 'modes', 'the', 'binding', 'of', 'hs', 'with', 'higher', 'energy', 'alpd', 'orbitals', 'is', 'enhanced', 'within', 'the', 'doublebridge', 'arrangement', 'giving', 'rise', 'to', 'a', 'higher', 'electronic', 'energy', 'for', 'the', 'system', 'distinguishable', 'new', 'features', 'in', 'the', 'vibrational', 'spectrum', 'of', 'gammaalh_3', 'were', 'attributed', 'to', 'the', 'doublebridge', 'and', 'hexagonalring', 'structures']] | [-0.10108768306442617, 0.14860285425513414, -0.03934210297266412, 0.019257374557689475, -0.018930151250880257, -0.12146309670348318, 0.03753008466985732, 0.41434919365026335, -0.24134437279721124, -0.2731329961622387, 0.018725768190860335, -0.33345288905763515, -0.13506577405101264, 0.15625528396067015, 0.036820033236038816, 0.004237658114971616, 0.019592047577010996, 0.01238524573308956, -0.06677732227749571, -0.1803551256544543, 0.23803319807026396, 0.11007786832784337, 0.281726050695094, 0.0783597101330941, 0.014637094117517088, -0.0580308674690946, 0.0715612861454303, 0.008590546541166044, -0.18444621836650543, 0.1631064397731313, 0.2518280809127185, -0.008189826666228013, 0.18946731208362272, -0.4217029570912321, -0.21332104730615278, 0.020487280300226247, 0.08823530928714683, 0.11078854249560355, -0.057941262513243906, -0.24505355456315073, 0.08169347314842414, -0.13063449914715206, -0.11969173021534067, -0.1102740917251342, 0.048848111599246846, 0.015115663354618497, -0.1780763798746148, 0.10721867391408456, -0.008057309800391028, 0.08077643664890072, -0.15403294009530205, -0.17853733470281127, -0.11994831011642093, 0.03682198046482409, 0.019119535073750065, 0.009454743353144071, 0.13727839908815553, -0.07134847699543806, -0.0964304969623041, 0.4328341324250271, -0.018624688443073134, -0.09281491780837561, 0.19446218228772466, -0.14029254592713658, -0.14342288564557187, 0.20040635784720012, 0.04824202518585356, 0.0873046077667149, -0.12386683941700921, 0.06592950851327371, 0.0014504104742009975, 0.2054857185360527, 0.089162506345648, 0.09058250979891184, 0.1597699636484232, 0.16713019800774845, 0.033500093693649514, 0.1432667461358281, -0.07008248397521387, -0.06284731050650014, -0.18507924393670241, -0.17442310370654326, -0.1743582162063247, 0.0490034794274834, -0.042014234451656834, -0.16910933453394214, 0.3865311075070942, 0.04353922385475196, 0.1744197282658453, -0.09275226215659468, 0.19506361562741437, 0.08354520941164667, 0.08651236236601333, 0.05715841566856353, 0.26476617238375094, 0.16443865854626544, 0.05591702512120483, -0.2448421491491091, 0.09092012936045289, 0.021864107548385674] |
707.4605 | Teaching the Kepler laws for freshmen | We present a natural proof of Kepler's law of ellipses in the spirit of
Euclidean geometry. Moreover we discuss two existing Euclidean geometric
proofs, one by Feynman in hist Lost Lecture from 1964 and the other by Newton
in the Principia of 1687.
| math.SG math.HO | we present a natural proof of keplers law of ellipses in the spirit of euclidean geometry moreover we discuss two existing euclidean geometric proofs one by feynman in hist lost lecture from 1964 and the other by newton in the principia of 1687 | [['we', 'present', 'a', 'natural', 'proof', 'of', 'keplers', 'law', 'of', 'ellipses', 'in', 'the', 'spirit', 'of', 'euclidean', 'geometry', 'moreover', 'we', 'discuss', 'two', 'existing', 'euclidean', 'geometric', 'proofs', 'one', 'by', 'feynman', 'in', 'hist', 'lost', 'lecture', 'from', '1964', 'and', 'the', 'other', 'by', 'newton', 'in', 'the', 'principia', 'of', '1687']] | [-0.09527306548227708, 0.0593771500036467, -0.15569427119957846, 0.07709373499071875, -0.12323607915882455, -0.12482003584980618, 0.03922643677634729, 0.2297270103942516, -0.25318287711503895, -0.3030012068880159, 0.11286005934667882, -0.28953365879783105, -0.19592574860380832, 0.20055891694717629, -0.20142771396785975, 0.021994149983795577, 0.03229297569757977, 0.010937235513052274, -0.06661926846149875, -0.29592898739285245, 0.33182731171160246, -0.02686492490127336, 0.17138138588864443, 0.028704481180432406, 0.12936027083805826, 0.05583034069169053, -0.09733056861820609, 0.015526530592767306, -0.18245614976297284, 0.18476616968075896, 0.21291505935233693, 0.13941950866476047, 0.22906290826409362, -0.4239189924542294, -0.1054639638466544, 0.04810792805497036, 0.12104551638151671, 0.08236567676067352, -0.021189773022088895, -0.2740064833399861, 0.012139934894823751, -0.09769112018998279, -0.19415156571411116, -0.01745428927892516, 0.03937946341195425, 0.018730655009316845, -0.086341347737606, 0.0891010613765481, 0.17055813015200372, 0.13721701266720546, -0.020099850793823947, -0.14741849301512852, 0.06064813807173524, 0.04526096823906829, 0.041967667552620866, 0.02414813376746552, 0.04406354513539131, -0.07975168321498258, -0.1713408949936545, 0.42995499854171, -0.02574057058366232, -0.1534226770231197, 0.13203194364905357, -0.14413534605139217, -0.17697945634596224, 0.06232731795848109, 0.1084600264737166, 0.13275027261362654, -0.153408853705366, 0.1333096780973963, -0.052210099117960346, 0.05436851617035478, 0.16702115197860917, -0.014690341211335604, 0.15681201353842436, 0.03222917761047219, -0.0016479826597280282, 0.1961406880927402, -0.02828134951549907, -0.16997985816885566, -0.3579755026067412, -0.2067309803394384, -0.23169047287990188, 0.08146760186050521, -0.1360580311153425, -0.1326369740188035, 0.3488268020107996, 0.09998471502128035, 0.17268534099986388, 0.07424544016180863, 0.2722683448864277, 0.03949573046939318, 0.037672354763936856, 0.05927467335362074, 0.291542062925738, 0.10674671199562591, 0.14100675068275872, -0.10190939753273026, -0.03323322519400092, 0.2667228851337419] |
707.4606 | LDA+Gutzwiller Method for Correlated Electron Systems | Combining the density functional theory (DFT) and the Gutzwiller variational
approach, a LDA+Gutzwiller method is developed to treat the correlated electron
systems from {\it ab-initio}. All variational parameters are self-consistently
determined from total energy minimization. The method is computationally
cheaper, yet the quasi-particle spectrum is well described through kinetic
energy renormalization. It can be applied equally to the systems from weakly
correlated metals to strongly correlated insulators. The calculated results for
SrVO$_3$, Fe, Ni and NiO, show dramatic improvement over LDA and LDA+U.
| cond-mat.str-el cond-mat.mtrl-sci | combining the density functional theory dft and the gutzwiller variational approach a ldagutzwiller method is developed to treat the correlated electron systems from it abinitio all variational parameters are selfconsistently determined from total energy minimization the method is computationally cheaper yet the quasiparticle spectrum is well described through kinetic energy renormalization it can be applied equally to the systems from weakly correlated metals to strongly correlated insulators the calculated results for srvo_3 fe ni and nio show dramatic improvement over lda and ldau | [['combining', 'the', 'density', 'functional', 'theory', 'dft', 'and', 'the', 'gutzwiller', 'variational', 'approach', 'a', 'ldagutzwiller', 'method', 'is', 'developed', 'to', 'treat', 'the', 'correlated', 'electron', 'systems', 'from', 'it', 'abinitio', 'all', 'variational', 'parameters', 'are', 'selfconsistently', 'determined', 'from', 'total', 'energy', 'minimization', 'the', 'method', 'is', 'computationally', 'cheaper', 'yet', 'the', 'quasiparticle', 'spectrum', 'is', 'well', 'described', 'through', 'kinetic', 'energy', 'renormalization', 'it', 'can', 'be', 'applied', 'equally', 'to', 'the', 'systems', 'from', 'weakly', 'correlated', 'metals', 'to', 'strongly', 'correlated', 'insulators', 'the', 'calculated', 'results', 'for', 'srvo_3', 'fe', 'ni', 'and', 'nio', 'show', 'dramatic', 'improvement', 'over', 'lda', 'and', 'ldau']] | [-0.02972789921696825, 0.11241180054192622, -0.08467645716505597, 0.15985725177536123, 0.002428921315459961, -0.15665860357974848, 0.0647379258066887, 0.4360095956643303, -0.3047366991578826, -0.3267771022686039, -0.04330364632678319, -0.34808690767421063, -0.13990421441595102, 0.18842947319239736, 0.06384042717224683, 0.07263281090319695, 0.04566176551540034, -0.06882390636299927, -0.16234409473612008, -0.24203093523294272, 0.2289100893975112, 0.07699352004060364, 0.3049973019634385, 0.08713492272556367, 0.0013803360781755793, 0.043195391713405945, 0.028272060082709216, 0.10356915341577975, -0.09784670308770904, 0.11724292162626264, 0.30558072472641984, -0.02665630797575037, 0.2502612608024873, -0.4552553997835122, -0.3043917786120998, -0.050759885375982666, 0.11310992752908762, 0.13832316268235445, -0.012031841508382145, -0.2772189288130815, 0.029210385449892694, -0.22921138732548219, -0.09302602421719558, -0.19738748090633426, -0.07332154062677579, 0.0377035337691027, -0.2700239651645702, 0.16357862823698893, -0.06173354589397155, 0.013437224899878702, -0.13970834716133415, -0.16862564183861375, -0.07867204749687429, -0.0003899794621729707, 0.04610025481298476, 0.07930216184222555, 0.16487096041351199, -0.029588319737105125, -0.038894471835838745, 0.39709670355274196, -0.07190515422150044, -0.1616179538530954, 0.17788156490009951, -0.07332850296572076, -0.08415129722701947, 0.19720875994717502, 0.06965122863942061, 0.1497672404420663, -0.19350857359458165, 0.1132752006062263, -0.006099875260380108, 0.2064478582848447, -0.07077014882184834, 0.021962460360478563, 0.14999932961058746, 0.14817111704117022, 0.06618829539427197, 0.04134047115698502, -0.08746038389627833, -0.11848222354359655, -0.18899003268185868, -0.1184756316760757, -0.3093706159810367, 0.01428090826136969, -0.026784704615402662, -0.19530629598905883, 0.39493806262960635, 0.15009877914338407, 0.11044652282024722, -0.01137097379058061, 0.27773953067610063, 0.1904003756031035, 0.05860182538303176, 0.08792058698810547, 0.21261013034416967, 0.208233329669449, 0.0529287890685408, -0.26629010247100277, 0.036301316547555376, 0.07750481298945126] |
707.4607 | LBB Stability of a Mixed Discontinuous/Continuous Galerkin Finite
Element Pair | We introduce a new mixed discontinuous/continuous Galerkin finite element for
solving the 2- and 3-dimensional wave equations and equations of incompressible
flow. The element, which we refer to as P1dg-P2, uses discontinuous piecewise
linear functions for velocity and continuous piecewise quadratic functions for
pressure. The aim of introducing the mixed formulation is to produce a new
flexible element choice for triangular and tetrahedral meshes which satisfies
the LBB stability condition and hence has no spurious zero-energy modes. We
illustrate this property with numerical integrations of the wave equation in
two dimensions, an analysis of the resultant discrete Laplace operator in two
and three dimensions, and a normal mode analysis of the semi-discrete wave
equation in one dimension.
| math.NA | we introduce a new mixed discontinuouscontinuous galerkin finite element for solving the 2 and 3dimensional wave equations and equations of incompressible flow the element which we refer to as p1dgp2 uses discontinuous piecewise linear functions for velocity and continuous piecewise quadratic functions for pressure the aim of introducing the mixed formulation is to produce a new flexible element choice for triangular and tetrahedral meshes which satisfies the lbb stability condition and hence has no spurious zeroenergy modes we illustrate this property with numerical integrations of the wave equation in two dimensions an analysis of the resultant discrete laplace operator in two and three dimensions and a normal mode analysis of the semidiscrete wave equation in one dimension | [['we', 'introduce', 'a', 'new', 'mixed', 'discontinuouscontinuous', 'galerkin', 'finite', 'element', 'for', 'solving', 'the', '2', 'and', '3dimensional', 'wave', 'equations', 'and', 'equations', 'of', 'incompressible', 'flow', 'the', 'element', 'which', 'we', 'refer', 'to', 'as', 'p1dgp2', 'uses', 'discontinuous', 'piecewise', 'linear', 'functions', 'for', 'velocity', 'and', 'continuous', 'piecewise', 'quadratic', 'functions', 'for', 'pressure', 'the', 'aim', 'of', 'introducing', 'the', 'mixed', 'formulation', 'is', 'to', 'produce', 'a', 'new', 'flexible', 'element', 'choice', 'for', 'triangular', 'and', 'tetrahedral', 'meshes', 'which', 'satisfies', 'the', 'lbb', 'stability', 'condition', 'and', 'hence', 'has', 'no', 'spurious', 'zeroenergy', 'modes', 'we', 'illustrate', 'this', 'property', 'with', 'numerical', 'integrations', 'of', 'the', 'wave', 'equation', 'in', 'two', 'dimensions', 'an', 'analysis', 'of', 'the', 'resultant', 'discrete', 'laplace', 'operator', 'in', 'two', 'and', 'three', 'dimensions', 'and', 'a', 'normal', 'mode', 'analysis', 'of', 'the', 'semidiscrete', 'wave', 'equation', 'in', 'one', 'dimension']] | [-0.13332337610747502, 0.10269834517169764, -0.10176672092841371, 0.017552302773717953, -0.10205817047263617, -0.1368777895062838, -0.0339152544008001, 0.31794649676581765, -0.3062791208534137, -0.19172764645140294, 0.13369730312235492, -0.2449059713469899, -0.13559363273822744, 0.15491523952425823, -0.008749837736072748, 0.11913555799780981, 0.03580848405785535, -0.023234529100844392, -0.13323891350250366, -0.17409118853873856, 0.36249881335331696, -0.05621495029646093, 0.2531202142086366, 0.02036225367337465, 0.177159730207337, -0.020833616832311712, -0.031204977364319823, 0.032281612837687136, -0.1357091771296995, 0.08898560922876324, 0.24246380727981096, 0.04118156702986554, 0.28852491194949204, -0.43687839282919533, -0.2269224406665434, 0.08272762036193972, 0.12930973748797955, 0.1003471661399564, -0.06374364161216046, -0.23894150194752475, 0.08649847641607504, -0.1383135574100458, -0.21696192839020945, -0.08548897611706154, -0.012250118257234925, 0.03340622796474592, -0.33048167299965153, 0.11228907997517482, 0.06818115085201419, 0.06384978070045295, -0.11599595659493428, -0.11146383872660606, -0.05055045293563086, 0.03876201334186708, -0.006398359311582602, -0.02351784819494123, -0.017332808044992144, -0.07843877722752159, -0.0679338701200955, 0.3995657868804815, -0.08233504066972629, -0.3445048828811749, 0.1846929961734492, -0.09990852136650812, -0.10877800548003744, 0.13352643485869403, 0.19545758313944805, 0.1393691137433052, -0.10809492361934289, 0.10316831414921857, -0.032818179896592324, 0.16919897908405604, 0.0919032395047986, -0.028701285593738052, 0.08767045046324315, 0.13370159668442996, 0.13889391682637126, 0.12576080996431815, -0.06260090487017093, -0.11850447076494279, -0.3574157279713646, -0.21379395870734816, -0.1662204451097236, -0.011192527565087759, -0.13691978349221323, -0.25793356391722744, 0.412821384260188, 0.07310969213570427, 0.1038820426263239, 0.06597010572440923, 0.28164227112479834, 0.20262758490001864, 0.021489080187419185, 0.09843482120448481, 0.18250357646535595, 0.17903434029253928, 0.07935601753871079, -0.2460772864965965, -0.015572024067944806, 0.18882059507962803] |
707.4608 | Event-by-event transverse momentum fluctuations in nuclear collisions at
CERN SPS | The latest NA49 results on event-by-event transverse momentum fluctuations
are presented for central Pb+Pb interactions over the whole SPS energy range
(20A - 158A GeV). Two different methods are applied: evaluating the
$\Phi_{p_{T}}$ fluctuation measure and studying two-particle transverse
momentum correlations. The obtained results are compared to predictions of the
UrQMD model. The results on the energy dependence are compared to the NA49 data
on the system size dependence. The NA61 (SHINE, NA49-future) strategy of
searching of the QCD critical end-point is also discussed.
| nucl-ex | the latest na49 results on eventbyevent transverse momentum fluctuations are presented for central pbpb interactions over the whole sps energy range 20a 158a gev two different methods are applied evaluating the phi_p_t fluctuation measure and studying twoparticle transverse momentum correlations the obtained results are compared to predictions of the urqmd model the results on the energy dependence are compared to the na49 data on the system size dependence the na61 shine na49future strategy of searching of the qcd critical endpoint is also discussed | [['the', 'latest', 'na49', 'results', 'on', 'eventbyevent', 'transverse', 'momentum', 'fluctuations', 'are', 'presented', 'for', 'central', 'pbpb', 'interactions', 'over', 'the', 'whole', 'sps', 'energy', 'range', '20a', '158a', 'gev', 'two', 'different', 'methods', 'are', 'applied', 'evaluating', 'the', 'phi_p_t', 'fluctuation', 'measure', 'and', 'studying', 'twoparticle', 'transverse', 'momentum', 'correlations', 'the', 'obtained', 'results', 'are', 'compared', 'to', 'predictions', 'of', 'the', 'urqmd', 'model', 'the', 'results', 'on', 'the', 'energy', 'dependence', 'are', 'compared', 'to', 'the', 'na49', 'data', 'on', 'the', 'system', 'size', 'dependence', 'the', 'na61', 'shine', 'na49future', 'strategy', 'of', 'searching', 'of', 'the', 'qcd', 'critical', 'endpoint', 'is', 'also', 'discussed']] | [-0.09502897989260396, 0.20606681892489334, -0.17658742213488285, 0.1922803092251032, 0.017302481224760413, -0.06791085136554591, -0.08063905531676804, 0.35264882209097465, -0.16751776661769283, -0.29871003002655216, -0.019513738296199137, -0.39848795219710686, 0.10562075268499917, 0.2531681280872762, 0.08500526646768287, 0.11666914106278521, 0.14141540182754397, 0.0020978180975539653, -0.066229839813498, -0.2006227151329612, 0.29460165079217404, 0.1640349926949456, 0.3302954309733539, 0.17747624447887264, 0.027678969499325697, 0.07157398324471148, -0.08061655588084604, 0.013351612708747114, -0.18168517297542677, 0.0402896297618565, 0.2490344744221103, 0.0031855758563501804, 0.14019647325252796, -0.31252368030751626, -0.14627634264704795, 0.09927763719475124, 0.11042521642975328, 0.08278443181614686, -0.06865873072926727, -0.29866707096978024, 0.08446051146289925, -0.21542994586023978, -0.13686900571976765, -0.07141366196660007, -0.04599918577842778, 0.1034739726768216, -0.26131350524076147, 0.13186712447438878, -0.03677940275520086, 0.10090329868310108, -0.08734413539627339, -0.2525778093372426, -0.07866445088350191, 0.06218357362625439, 0.0877002096442483, 0.10003950019230748, 0.2190112901351801, -0.13139078281706246, -0.16655556355296383, 0.3451601867450447, 0.020305071778527303, -0.1549662152623258, 0.17113990252042507, -0.2003578008720424, -0.12307571209739984, 0.12029601709644605, 0.23363889039425953, 0.06624906380638117, -0.1911895270459354, 0.02435473502519904, 0.0025070003835802397, 0.16407328221674372, 0.037363736401879934, 0.05758350581021571, 0.14774297601429792, 0.22637135162381683, -0.0496464083283549, 0.08863917469556681, -0.12340958698698115, -0.18276029593515686, -0.3659325711792562, -0.02581374335852338, -0.18202852102553063, -0.01790228398607635, -0.11321514667698222, -0.015905865899673324, 0.41748648977316005, 0.15847715552578248, 0.26384133293588713, 0.021807556878207478, 0.29429539799599386, 0.10815438538471736, 0.042334318545749185, 0.06688201200449839, 0.2889312846449817, 0.14120152523377683, 0.23227722912021662, -0.2825531384544042, 0.019650020551436196, 0.0571160257152259] |
707.4609 | Study of the radiative decay phi to a0(980) gamma with the KLOE detector | A sample of 1.25x10^9 phi decays, collected with the KLOE detector at the
Frascati phi-factory DAFNE at center of mass energy ~ Mphi, has been used to
study the radiative decay phi to eta pi0 gamma. This decay is dominated by phi
to a0(980) gamma. Two decay chains, corresponding to eta to gamma gamma and eta
to pi+ pi- pi0, have been selected. We found respectively: Br(phi to eta pi0
gamma)=(6.92 +/- 0.10 (stat.) +/- 0.20 (syst.))x10^(-5) and (7.19 +/- 0.17
(stat.) +/- 0.24 (syst.))x 10 ^(-5). The eta pi0 invariant mass distributions
have been fitted to obtain the relevant a0(980) parameters.
| hep-ex | a sample of 125x109 phi decays collected with the kloe detector at the frascati phifactory dafne at center of mass energy mphi has been used to study the radiative decay phi to eta pi0 gamma this decay is dominated by phi to a0980 gamma two decay chains corresponding to eta to gamma gamma and eta to pi pi pi0 have been selected we found respectively brphi to eta pi0 gamma692 010 stat 020 systx105 and 719 017 stat 024 systx 10 5 the eta pi0 invariant mass distributions have been fitted to obtain the relevant a0980 parameters | [['a', 'sample', 'of', '125x109', 'phi', 'decays', 'collected', 'with', 'the', 'kloe', 'detector', 'at', 'the', 'frascati', 'phifactory', 'dafne', 'at', 'center', 'of', 'mass', 'energy', 'mphi', 'has', 'been', 'used', 'to', 'study', 'the', 'radiative', 'decay', 'phi', 'to', 'eta', 'pi0', 'gamma', 'this', 'decay', 'is', 'dominated', 'by', 'phi', 'to', 'a0980', 'gamma', 'two', 'decay', 'chains', 'corresponding', 'to', 'eta', 'to', 'gamma', 'gamma', 'and', 'eta', 'to', 'pi', 'pi', 'pi0', 'have', 'been', 'selected', 'we', 'found', 'respectively', 'brphi', 'to', 'eta', 'pi0', 'gamma692', '010', 'stat', '020', 'systx105', 'and', '719', '017', 'stat', '024', 'systx', '10', '5', 'the', 'eta', 'pi0', 'invariant', 'mass', 'distributions', 'have', 'been', 'fitted', 'to', 'obtain', 'the', 'relevant', 'a0980', 'parameters']] | [-0.06635625793608607, 0.25567734160745936, -0.14555806522908551, 0.07495096346403482, -0.021258225579375543, -0.1754380611212103, 0.05788092323834257, 0.3170707687405088, -0.1880022781971161, -0.29568708827531326, -0.10022428315207962, -0.43816855818193445, 0.13443310091632507, 0.17529681777851958, 0.10130564038271225, 0.17051886517794862, 0.04922357143196453, 0.06036202010688602, -0.06302509062469096, -0.1066963966755617, 0.1816409905791603, 0.08531643650544588, 0.20368207220028164, 0.062380080682135394, -0.04588772648424711, -0.03036048428796392, -0.042394471950628745, -0.14236104224498072, -0.3037689264803644, -0.02777122100314466, 0.2545372926409767, 0.02011188106881755, 0.10972041233132283, -0.19666685631599776, -0.0025401394513826217, 0.22946299887412497, 0.1906996689015819, -0.12715677390255595, 0.014894651649619943, -0.3933150774388704, 0.23117144625153271, -0.18838455890034955, -0.08598434913562991, 0.0009955859853215115, 0.13084755092859268, -0.1331247736835071, -0.3467725761715443, 0.09393830837741975, -0.10829344407845569, 0.060691221897560425, -0.0012994199009832516, -0.3307300633400358, -0.019189328295729495, 0.0044803215060583365, 0.16404802507410446, 0.2293561512907286, 0.20541690644978355, -0.03461091266193938, -0.09390730977619208, 0.36347896171112853, -0.04855600214733552, -0.16997372686502435, 0.09869845433821602, -0.2361315543142458, -0.17037244344390529, 0.28874000463314275, 0.22781222050268485, 0.01763207274138607, -0.21731703849609502, 0.10950312986644485, 0.021298825445394683, 0.22509760872250603, 0.12087981983198114, -0.011811288789675762, 0.13848162511543882, 0.16251625017493324, -0.10679724827341194, 0.04127288555666324, -0.1891283340581883, 0.014893545268443964, -0.3353716088959607, -0.1182076782989566, -0.016189781282978353, 0.17932297443590497, -0.01864438809883801, 0.024991287038691582, 0.27544683556482996, -0.06213936515863464, 0.32798051339403916, -0.01000957714562099, 0.21934831314670142, 0.1352909648170074, 0.016298345600565273, 0.08512188423104504, 0.3274574250844057, 0.26382341278248755, 0.1409789815454954, -0.2689541097460014, 0.006483027250856482, -0.031118129004514026] |
707.461 | Estimates for the maximal singular integral in terms of the singular
integral:the case of even kernels | The purpose of this paper is to describe the smooth homogeneous
Calderon-Zygmund operators for which the maximal singular integral T*f may be
controlled by the singular integral Tf. We consider two types of control. The
first is the L2 estimate of T*f by Tf, namely the estimate of the L2 norm of
T*f by a constant times the L2 norm of Tf. The second is the pointwise estimate
of T*f(x) by a constant times M(Tf)(x), where M denotes the Hardy-Littlewood
maximal operator. Notice that this is an improved variant of Cotlar's
inequality, because the term Mf(x) is missing on the right hand side. Our main
result states that, for even operators, both are equivalent to a purely
algebraic condition formulated in terms of the expansion of the kernel in
spherical harmonics. The condition holds by higher order Riesz transforms,
which then satisfy an improved version of Cotlar's inequality
| math.CA math.AP | the purpose of this paper is to describe the smooth homogeneous calderonzygmund operators for which the maximal singular integral tf may be controlled by the singular integral tf we consider two types of control the first is the l2 estimate of tf by tf namely the estimate of the l2 norm of tf by a constant times the l2 norm of tf the second is the pointwise estimate of tfx by a constant times mtfx where m denotes the hardylittlewood maximal operator notice that this is an improved variant of cotlars inequality because the term mfx is missing on the right hand side our main result states that for even operators both are equivalent to a purely algebraic condition formulated in terms of the expansion of the kernel in spherical harmonics the condition holds by higher order riesz transforms which then satisfy an improved version of cotlars inequality | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'describe', 'the', 'smooth', 'homogeneous', 'calderonzygmund', 'operators', 'for', 'which', 'the', 'maximal', 'singular', 'integral', 'tf', 'may', 'be', 'controlled', 'by', 'the', 'singular', 'integral', 'tf', 'we', 'consider', 'two', 'types', 'of', 'control', 'the', 'first', 'is', 'the', 'l2', 'estimate', 'of', 'tf', 'by', 'tf', 'namely', 'the', 'estimate', 'of', 'the', 'l2', 'norm', 'of', 'tf', 'by', 'a', 'constant', 'times', 'the', 'l2', 'norm', 'of', 'tf', 'the', 'second', 'is', 'the', 'pointwise', 'estimate', 'of', 'tfx', 'by', 'a', 'constant', 'times', 'mtfx', 'where', 'm', 'denotes', 'the', 'hardylittlewood', 'maximal', 'operator', 'notice', 'that', 'this', 'is', 'an', 'improved', 'variant', 'of', 'cotlars', 'inequality', 'because', 'the', 'term', 'mfx', 'is', 'missing', 'on', 'the', 'right', 'hand', 'side', 'our', 'main', 'result', 'states', 'that', 'for', 'even', 'operators', 'both', 'are', 'equivalent', 'to', 'a', 'purely', 'algebraic', 'condition', 'formulated', 'in', 'terms', 'of', 'the', 'expansion', 'of', 'the', 'kernel', 'in', 'spherical', 'harmonics', 'the', 'condition', 'holds', 'by', 'higher', 'order', 'riesz', 'transforms', 'which', 'then', 'satisfy', 'an', 'improved', 'version', 'of', 'cotlars', 'inequality']] | [-0.1136709312927358, 0.10072967406464456, -0.0735568959257236, 0.11184964632396871, -0.06350957785676024, -0.11163577331280729, -0.001777586502618581, 0.2765690788664684, -0.29157255013428984, -0.18234992995034574, 0.16122992014430057, -0.27071586276917736, -0.10797830865849886, 0.19627665142452685, -0.09645591514402063, 0.00702407076158149, 0.03361586115772829, 0.11722843389052162, -0.10295837097183554, -0.235661710785119, 0.3677107926401101, -0.0013336081217759017, 0.23117008351651178, 0.050385250507214034, 0.11112556376551487, 0.012430019530968195, -0.01252289542446838, -0.04251531261291836, -0.16462109268369346, 0.17122169052485098, 0.20170835271274962, 0.07471649646822388, 0.3014530645569368, -0.3964211790359953, -0.1627191414590925, 0.19231819836612868, 0.1346762930549884, -0.005374390018951832, 0.01147856657966642, -0.2651721733799648, 0.10218711667630796, -0.09872167126186901, -0.1545374246447214, -0.06816703391571839, 0.015780628348390262, 0.05068869269801443, -0.3491875331240649, 0.13349982287709405, 0.13856247776080252, 0.04019299778631147, -0.10839096739489053, -0.11389179559674772, 0.03763774756601929, 0.07328667409946116, 0.023739185286400726, 0.0950273918653173, 0.07712068176292973, -0.07815165874440552, -0.058670238167250234, 0.3280777318726237, -0.11423737600486929, -0.23409494945183904, 0.07441614936327651, -0.15286801587695217, -0.09755711011322481, 0.055391186987664424, 0.09085806512802864, 0.1279949005091322, -0.15274012888319233, 0.14804724040029404, -0.06784015530910419, 0.13276702498852397, 0.086026889891332, 0.028300694690472413, 0.03687267155278803, 0.08380016882517406, 0.18144195887013054, 0.14389499348071944, -0.04814391954624582, -0.05590557550922746, -0.3555902519903215, -0.1818826087230981, -0.22746790573951237, 0.05546464580501236, -0.13392461647856094, -0.14613019036395208, 0.368132988130357, 0.05052993444767052, 0.19285085261007454, 0.08091452154394264, 0.2673569343743377, 0.18759959418529354, 0.08108783340981217, 0.04701845718509689, 0.20046560943671535, 0.15268825756886428, 0.0509440174079215, -0.22815854808487485, 0.02931158908889914, 0.19864876155874558] |
707.4611 | Theory of swimming filaments in viscoelastic media | Motivated by the swimming of sperm in the non-Newtonian fluids of the female
mammalian reproductive tract, we examine the swimming of filaments in the
nonlinear viscoelastic Upper Convected Maxwell model. We obtain the swimming
velocity and hydrodynamic force exerted on an infinitely long cylinder with
prescribed beating pattern. We use these results to examine the swimming of a
simplified sliding-filament model for a sperm flagellum. Viscoelasticity tends
to decrease swimming speed, and changes in the beating patterns due to
viscoelasticity can reverse swimming direction.
| cond-mat.soft | motivated by the swimming of sperm in the nonnewtonian fluids of the female mammalian reproductive tract we examine the swimming of filaments in the nonlinear viscoelastic upper convected maxwell model we obtain the swimming velocity and hydrodynamic force exerted on an infinitely long cylinder with prescribed beating pattern we use these results to examine the swimming of a simplified slidingfilament model for a sperm flagellum viscoelasticity tends to decrease swimming speed and changes in the beating patterns due to viscoelasticity can reverse swimming direction | [['motivated', 'by', 'the', 'swimming', 'of', 'sperm', 'in', 'the', 'nonnewtonian', 'fluids', 'of', 'the', 'female', 'mammalian', 'reproductive', 'tract', 'we', 'examine', 'the', 'swimming', 'of', 'filaments', 'in', 'the', 'nonlinear', 'viscoelastic', 'upper', 'convected', 'maxwell', 'model', 'we', 'obtain', 'the', 'swimming', 'velocity', 'and', 'hydrodynamic', 'force', 'exerted', 'on', 'an', 'infinitely', 'long', 'cylinder', 'with', 'prescribed', 'beating', 'pattern', 'we', 'use', 'these', 'results', 'to', 'examine', 'the', 'swimming', 'of', 'a', 'simplified', 'slidingfilament', 'model', 'for', 'a', 'sperm', 'flagellum', 'viscoelasticity', 'tends', 'to', 'decrease', 'swimming', 'speed', 'and', 'changes', 'in', 'the', 'beating', 'patterns', 'due', 'to', 'viscoelasticity', 'can', 'reverse', 'swimming', 'direction']] | [-0.18033734144620508, 0.21142569886599752, -0.0773246573026191, -0.0019604654573128523, -0.1177424240116793, -0.1342751954917807, -0.02117077193043408, 0.3339997631194721, -0.301458067356059, -0.25604100170803357, -0.007426983375293034, -0.2327861037913216, -0.24052846414901047, 0.1745741467821939, -0.15212894446519484, 0.046586808779400336, 0.009548701009297946, -0.015745720893413907, 0.13236929018805027, -0.1531648065345025, 0.12458154730812972, 0.02387915288535766, 0.27438707053324723, 0.0207216099847153, 0.182803788155048, -0.049360073614775776, 0.021070104701085442, 0.05261133191265525, -0.2828652876743441, 0.062480301166416834, 0.16408113662310572, -0.010010037010154092, 0.2478916145950915, -0.5494709222700941, -0.21247186033750873, 0.06433223070105515, 0.23865255123251175, 0.19355013500899076, 0.03677868811239724, -0.24114027823579598, -0.02275077249091792, -0.1463699128860271, -0.18757780534159169, -0.02450214902006359, 0.08026423527584244, 0.12975637423974204, -0.19528053814253535, 0.18119594207768475, 0.05351349310837237, 0.17197488481564593, -0.12166565051863351, -0.029734584873160684, -0.05117939980925027, 0.14340817490985325, 0.2067951986465199, -0.006332078095839684, 0.2925657275671431, -0.2867550163316619, -0.06659992233603206, 0.42204959843173084, -0.07939044532439032, -0.2985007606491626, 0.25355105820190477, -0.1871590670703136, 0.023887736358152455, 0.12055647036015808, 0.2661860048075218, 0.07852682751934437, -0.07952059339731932, -0.09067161668075181, -0.10150270486609583, 0.14098244508257113, 0.19431048526193004, -0.17720484848033233, 0.17908494677731251, 0.2063936090253922, 0.042876663101635064, 0.1512464225118284, -0.12392779306441276, -0.07244604901152563, -0.21231694369161702, -0.13270786149898567, -0.08263218159933226, 0.04162399209362556, -0.1510975531702833, -0.16618607231382146, 0.3809442037761391, 0.1069105213777308, 0.1516138018075242, 0.13969857296177063, 0.2647051222128681, 0.025994581223678696, 0.020247298214270407, 0.06390126787844193, 0.30503809239423596, 0.13661468618392317, 0.1930939717476357, -0.33959882221667165, 0.08473989998091416, 0.08968678262668202] |
707.4612 | Hartree-Fock theory for pseudorelativistic atoms | We study the Hartree-Fock model for pseudorelativistic atoms, that is, atoms
where the kinetic energy of the electrons is given by the pseudorelativistic
operator \sqrt{(pc)^2+(mc^2)^2}-mc^2. We prove the existence of a Hartree-Fock
minimizer, and prove regularity away from the nucleus and pointwise exponential
decay of the corresponding orbitals.
| math-ph math.MP | we study the hartreefock model for pseudorelativistic atoms that is atoms where the kinetic energy of the electrons is given by the pseudorelativistic operator sqrtpc2mc22mc2 we prove the existence of a hartreefock minimizer and prove regularity away from the nucleus and pointwise exponential decay of the corresponding orbitals | [['we', 'study', 'the', 'hartreefock', 'model', 'for', 'pseudorelativistic', 'atoms', 'that', 'is', 'atoms', 'where', 'the', 'kinetic', 'energy', 'of', 'the', 'electrons', 'is', 'given', 'by', 'the', 'pseudorelativistic', 'operator', 'sqrtpc2mc22mc2', 'we', 'prove', 'the', 'existence', 'of', 'a', 'hartreefock', 'minimizer', 'and', 'prove', 'regularity', 'away', 'from', 'the', 'nucleus', 'and', 'pointwise', 'exponential', 'decay', 'of', 'the', 'corresponding', 'orbitals']] | [-0.07780458801921378, 0.12058534526434589, -0.04720716556890848, 0.13239937935995452, 0.041468885013873275, -0.10655718614803032, 0.07029118226405154, 0.29724946836049254, -0.28466728186987816, -0.19005970078262877, -0.01032308421216588, -0.36244686233236434, -0.03382889411233841, 0.0713971911067579, 0.059823788643041824, 0.019690269822294406, 0.07237107586610983, 0.043934305416459735, -0.09890230803037102, -0.15580024572208206, 0.3505922605263743, 0.01580493833790434, 0.18874698195685732, 0.11262422672518098, 0.0986926481920354, 0.002123435696666228, 0.11295287782683018, -0.05864168347870099, -0.17220567529999398, 0.14213837395877915, 0.18243203918509027, 0.02747531388787196, 0.3314173260822575, -0.494985403928985, -0.16474464551565496, 0.10433523475806764, 0.1400151356975449, 0.1565209490425409, -0.06874524513655837, -0.3189155795869041, 0.038288495602442865, -0.14119241502076546, -0.20498955934407545, -0.08569147628038487, 0.01449366219024709, 0.12481089208294895, -0.3158199262428791, 0.13294811982740748, 0.06035384539752565, 0.0337644033629368, -0.18481198880583682, -0.12168417577730849, -0.07321510384691522, -0.010837624830372155, 0.1095461174325542, 0.048914838349446654, 0.11369010094711755, -0.09144304720486732, -0.047759093621626815, 0.38291997985636933, -0.08045817067489978, -0.18705728689723827, 0.11755962221031176, -0.1891453158843549, -0.06397432930014552, 0.14163045488060155, 0.10111849396390483, 0.12989243171475034, -0.13619524443601358, 0.2207587143341872, -0.12461135058881755, 0.15047758201414602, 0.051313377986166704, 0.04878141458562397, 0.07121475873158332, 0.11085014152241514, 0.15706817045847468, 0.14188141560063083, -0.1018101841686888, -0.12745321763956802, -0.3474884626079113, -0.17598659370807893, -0.2560916252117208, 0.1023548852374896, -0.05194519314496342, -0.16312486375140228, 0.4415944928818561, 0.08301161431727257, 0.12926763421954943, 0.052805665167088206, 0.21283570003319294, 0.2136117490999242, -0.018979150712727866, 0.12031356025127411, 0.2627696196568456, 0.1672734144847206, 0.023291179642794615, -0.28053164517288987, -0.01844815875185614, 0.17906415394130856] |
707.4613 | Correlation Effects in Wave Function Mapping of Molecular Beam Epitaxy
Grown Quantum Dots | We investigate correlation effects in the regime of a few electrons in
uncapped InAs quantum dots by tunneling spectroscopy and wave function (WF)
mapping at high tunneling currents where electron-electron interactions become
relevant. Four clearly resolved states are found, whose approximate symmetries
are roughly s and p, in order of increasing energy. Because the major axes of
the p-like states coincide, the WF sequence is inconsistent with the imaging of
independent-electron orbitals. The results are explained in terms of many-body
tunneling theory, by comparing measured maps with those calculated by taking
correlation effects into account.
| cond-mat.mes-hall cond-mat.str-el | we investigate correlation effects in the regime of a few electrons in uncapped inas quantum dots by tunneling spectroscopy and wave function wf mapping at high tunneling currents where electronelectron interactions become relevant four clearly resolved states are found whose approximate symmetries are roughly s and p in order of increasing energy because the major axes of the plike states coincide the wf sequence is inconsistent with the imaging of independentelectron orbitals the results are explained in terms of manybody tunneling theory by comparing measured maps with those calculated by taking correlation effects into account | [['we', 'investigate', 'correlation', 'effects', 'in', 'the', 'regime', 'of', 'a', 'few', 'electrons', 'in', 'uncapped', 'inas', 'quantum', 'dots', 'by', 'tunneling', 'spectroscopy', 'and', 'wave', 'function', 'wf', 'mapping', 'at', 'high', 'tunneling', 'currents', 'where', 'electronelectron', 'interactions', 'become', 'relevant', 'four', 'clearly', 'resolved', 'states', 'are', 'found', 'whose', 'approximate', 'symmetries', 'are', 'roughly', 's', 'and', 'p', 'in', 'order', 'of', 'increasing', 'energy', 'because', 'the', 'major', 'axes', 'of', 'the', 'plike', 'states', 'coincide', 'the', 'wf', 'sequence', 'is', 'inconsistent', 'with', 'the', 'imaging', 'of', 'independentelectron', 'orbitals', 'the', 'results', 'are', 'explained', 'in', 'terms', 'of', 'manybody', 'tunneling', 'theory', 'by', 'comparing', 'measured', 'maps', 'with', 'those', 'calculated', 'by', 'taking', 'correlation', 'effects', 'into', 'account']] | [-0.16119772018619666, 0.19426315706468333, -0.02260932988597472, 0.11040806057740395, 0.08528429738883125, -0.15965642416849732, 0.010220719882483152, 0.36521675682773713, -0.25128292451171497, -0.30083286089724615, -0.00939700481923003, -0.3693814624493059, -0.0947667240214191, 0.1550969475518765, 0.08191467352015408, 0.02035100973872958, 0.029886972389527058, -0.07000510614169271, -0.07351890172637802, -0.1786729900190901, 0.3185003267748183, 0.028730438520984822, 0.2593891327906596, 0.08457302350158755, 0.03773901588038394, 0.037611163248258986, 0.000792798399925232, 0.06227540594378584, -0.11379386238067558, 0.050613317387423626, 0.26256791553214975, -0.03899855837716084, 0.2325080449251752, -0.4688377305277084, -0.18666194782249237, 0.0010517170701764133, 0.184704753418306, 0.09520615028756621, -0.025460271968653327, -0.3196618339242904, 0.015459598135203123, -0.12699760496983992, -0.08529300716656603, -0.0634023861273339, 0.018682675112627053, 0.022344282990027414, -0.23847613739535997, 0.131525438092649, 0.0032797945516282005, 0.04874477655577816, -0.06860323127996372, -0.12211831310077717, -0.06973413591224112, 0.08120523223065232, 0.026572808973785295, 0.05068539067318565, 0.141394643941404, -0.10066613058902715, -0.13134667396815003, 0.36986543151893114, -0.045697699797241705, -0.1390339789428062, 0.141809389767188, -0.24722053101286293, -0.07903912881095158, 0.17460978531131618, 0.06437983945330703, 0.0917219895894002, -0.12547696269803532, 0.10226225045166518, 0.029398321551669045, 0.10978387891020822, 0.0733796057095261, 0.12066405272650484, 0.24771113817236926, 0.0923523612112101, -0.014454421945112317, 0.09561163239842771, -0.11389906653448155, -0.1031012926385493, -0.2557382511465173, -0.12445949824821008, -0.23798523380568154, 0.07061689825480387, -0.03660832708180686, -0.11633875380809369, 0.39162797081823414, 0.10627342979178617, 0.20105770444987636, 0.0012346730126362097, 0.2518707324211535, 0.18570134336324898, 0.08921912472793146, -0.003211303557710428, 0.2568983883155804, 0.1737526920869162, 0.0032183747315828347, -0.2794673419557512, 0.07511041152634118, -0.0019938222769843904] |
707.4614 | Thermal conductivity of ions in a neutron star envelope | We analyze the thermal conductivity of ions (equivalent to the conductivity
of phonons in crystalline matter) in a neutron star envelope.
We calculate the ion/phonon thermal conductivity in a crystal of atomic
nuclei using variational formalism and performing momentum-space integration by
Monte Carlo method. We take into account phonon-phonon and phonon-electron
scattering mechanisms and show that phonon-electron scattering dominates at not
too low densities. We extract the ion thermal conductivity in ion liquid or gas
from literature.
Numerical values of the ion/phonon conductivity are approximated by
analytical expressions, valid for T>10^5 K and 10^5 g cm^-3 < \rho < 10^14 g
cm^-3. Typical magnetic fields B~10^12 G in neutron star envelopes do not
affect this conductivity although they strongly reduce the electron thermal
conductivity across the magnetic field. The ion thermal conductivity remains
much smaller than the electron conductivity along the magnetic field. However,
in the outer neutron star envelope it can be larger than the electron
conductivity across the field, that is important for heat transport across
magnetic field lines in cooling neutron stars. The ion conductivity can greatly
reduce the anisotropy of heat conduction in outer envelopes of magnetized
neutron stars.
| astro-ph cond-mat.stat-mech physics.plasm-ph | we analyze the thermal conductivity of ions equivalent to the conductivity of phonons in crystalline matter in a neutron star envelope we calculate the ionphonon thermal conductivity in a crystal of atomic nuclei using variational formalism and performing momentumspace integration by monte carlo method we take into account phononphonon and phononelectron scattering mechanisms and show that phononelectron scattering dominates at not too low densities we extract the ion thermal conductivity in ion liquid or gas from literature numerical values of the ionphonon conductivity are approximated by analytical expressions valid for t105 k and 105 g cm3 rho 1014 g cm3 typical magnetic fields b1012 g in neutron star envelopes do not affect this conductivity although they strongly reduce the electron thermal conductivity across the magnetic field the ion thermal conductivity remains much smaller than the electron conductivity along the magnetic field however in the outer neutron star envelope it can be larger than the electron conductivity across the field that is important for heat transport across magnetic field lines in cooling neutron stars the ion conductivity can greatly reduce the anisotropy of heat conduction in outer envelopes of magnetized neutron stars | [['we', 'analyze', 'the', 'thermal', 'conductivity', 'of', 'ions', 'equivalent', 'to', 'the', 'conductivity', 'of', 'phonons', 'in', 'crystalline', 'matter', 'in', 'a', 'neutron', 'star', 'envelope', 'we', 'calculate', 'the', 'ionphonon', 'thermal', 'conductivity', 'in', 'a', 'crystal', 'of', 'atomic', 'nuclei', 'using', 'variational', 'formalism', 'and', 'performing', 'momentumspace', 'integration', 'by', 'monte', 'carlo', 'method', 'we', 'take', 'into', 'account', 'phononphonon', 'and', 'phononelectron', 'scattering', 'mechanisms', 'and', 'show', 'that', 'phononelectron', 'scattering', 'dominates', 'at', 'not', 'too', 'low', 'densities', 'we', 'extract', 'the', 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707.4615 | New nuclear three-body clusters \phi{NN} | Binding energies of three-body systems of the type \phi+2N are estimated. Due
to the strong attraction between \phi-meson and nucleon, suggested in different
approaches, bound states can appear in systems like \phi+np (singlet and
triplet) and \phi+pp. This indicates the principal possibility of the formation
of new nuclear clusters.
| nucl-th | binding energies of threebody systems of the type phi2n are estimated due to the strong attraction between phimeson and nucleon suggested in different approaches bound states can appear in systems like phinp singlet and triplet and phipp this indicates the principal possibility of the formation of new nuclear clusters | [['binding', 'energies', 'of', 'threebody', 'systems', 'of', 'the', 'type', 'phi2n', 'are', 'estimated', 'due', 'to', 'the', 'strong', 'attraction', 'between', 'phimeson', 'and', 'nucleon', 'suggested', 'in', 'different', 'approaches', 'bound', 'states', 'can', 'appear', 'in', 'systems', 'like', 'phinp', 'singlet', 'and', 'triplet', 'and', 'phipp', 'this', 'indicates', 'the', 'principal', 'possibility', 'of', 'the', 'formation', 'of', 'new', 'nuclear', 'clusters']] | [-0.11383315720983471, 0.1835272149182856, -0.07498673361260444, 0.14646834149364926, 0.02415454470307547, -0.1202619637188036, 0.03323601207618291, 0.3098546930317146, -0.22910927776198756, -0.31156149205829325, -0.05897516604454722, -0.2880000891940047, -0.06110638448202129, 0.11566051908691104, 0.0606859260199902, 0.027736437574882682, 0.038764889943801485, 0.05065712497647231, -0.066664316788471, -0.17470122288311055, 0.38970596094926196, 0.0006614477218439182, 0.23328655923251063, 0.17501888964519216, -0.01489965800040712, -0.0002141870694079747, 0.035292701330035925, -0.06025804476424431, -0.11334415676537901, 0.14814144939009566, 0.21170276186118522, 0.05463964606557662, 0.21456990926526487, -0.4027073699786949, -0.17153102542700557, 0.14599874565222612, 0.19914982664825706, 0.1504886561500219, -0.0266267135933352, -0.32324446784332395, 0.026048078046490748, -0.20570418789672354, -0.14530412200838327, -0.08690245750282581, 0.03072368058686455, 0.05878192983800545, -0.2604327989392914, 0.17198788932485817, 0.0327849123471727, -0.00416145334020257, -0.13548283033499806, -0.21667932552130273, -0.05641582375392318, 0.060054633766412735, 0.08836265271141504, 0.014390876720426604, 0.13558376358317523, -0.16178252491226885, -0.13237376773031428, 0.38157181872520596, -0.030056590830402758, -0.08501504177305226, 0.2618495167165141, -0.13362287510729706, -0.13834971894781725, 0.11381149202740441, 0.17195690462055305, 0.09300427883378386, -0.1497238893255902, 0.05871930423139323, 0.015164591236195216, 0.17141756194178015, 0.05080897309623348, 0.09542840804594259, 0.23573817041081688, 0.14482692062544325, 0.030209531037447352, 0.10249387195411448, -0.1145788812233756, -0.12271572190608519, -0.25862639290668693, -0.10626518298158771, -0.13342696886199215, 0.018977136370570708, -0.04952691960018759, -0.10235592443495989, 0.3499866416192769, 0.053883861459326, 0.21234886323024207, -0.04814835242965879, 0.1959574686285729, 0.07825489088281756, 0.12507611107624447, 0.04817123482159028, 0.3048887224091838, 0.17502486003407589, 0.033609586593229324, -0.30993197559534263, 0.04349988512088506, 0.024440371906772878] |
707.4616 | Measurement of the eta mass at KLOE | An integrated luminosity of 410 pb^(-1), corresponding to ~ 17 million of eta
events, has been analyzed to measure the eta mass using the decay eta to gamma
gamma. The measurement is insensitive to the calorimeter energy calibration and
the systematic error on the measurement is dominated by the uniformity of the
detector response. As a cross check of the method the pi0 mass from the decay
phi to pi0 gamma, pi0 to gamma gamma has been measured and it is in agreement
with the most accurate previous determinations. The result obtained is m(eta) =
547.873 +/- 0.007 (stat.) +/- 0.031 (syst.) MeV, that is today best measurement
of the eta mass.
| hep-ex | an integrated luminosity of 410 pb1 corresponding to 17 million of eta events has been analyzed to measure the eta mass using the decay eta to gamma gamma the measurement is insensitive to the calorimeter energy calibration and the systematic error on the measurement is dominated by the uniformity of the detector response as a cross check of the method the pi0 mass from the decay phi to pi0 gamma pi0 to gamma gamma has been measured and it is in agreement with the most accurate previous determinations the result obtained is meta 547873 0007 stat 0031 syst mev that is today best measurement of the eta mass | [['an', 'integrated', 'luminosity', 'of', '410', 'pb1', 'corresponding', 'to', '17', 'million', 'of', 'eta', 'events', 'has', 'been', 'analyzed', 'to', 'measure', 'the', 'eta', 'mass', 'using', 'the', 'decay', 'eta', 'to', 'gamma', 'gamma', 'the', 'measurement', 'is', 'insensitive', 'to', 'the', 'calorimeter', 'energy', 'calibration', 'and', 'the', 'systematic', 'error', 'on', 'the', 'measurement', 'is', 'dominated', 'by', 'the', 'uniformity', 'of', 'the', 'detector', 'response', 'as', 'a', 'cross', 'check', 'of', 'the', 'method', 'the', 'pi0', 'mass', 'from', 'the', 'decay', 'phi', 'to', 'pi0', 'gamma', 'pi0', 'to', 'gamma', 'gamma', 'has', 'been', 'measured', 'and', 'it', 'is', 'in', 'agreement', 'with', 'the', 'most', 'accurate', 'previous', 'determinations', 'the', 'result', 'obtained', 'is', 'meta', '547873', '0007', 'stat', '0031', 'syst', 'mev', 'that', 'is', 'today', 'best', 'measurement', 'of', 'the', 'eta', 'mass']] | [-0.05437115482359289, 0.1653530831389166, -0.1115082817752715, 0.06714753388910268, -0.02231122058012227, -0.07564452841059766, 0.05029979458940433, 0.3384834415862493, -0.18613909724251168, -0.356828432826099, -0.011095338719722894, -0.40168968469740074, 0.07828230069619473, 0.22704789895677469, 0.009189010680452964, 0.14112054324321555, 0.08174527044381912, 0.06442788753345191, -0.07450934372206923, -0.13397791057120068, 0.2338292684588825, 0.14836036343406014, 0.25395009942161284, 0.056479938732999786, 0.024007016570942702, -0.005633022420752411, -0.10408194662968272, -0.07886000807075022, -0.21164938633224903, 0.03838186386415613, 0.23228433570458998, 0.06210797565154705, 0.1412261506786274, -0.21542255003353425, -0.07618263779016578, 0.153520159645302, 0.13154239599401496, -0.054155578889022365, 0.012045853896388592, -0.32847161406529285, 0.1507180583289015, -0.18078060645749358, -0.0911178758550679, 0.011841639766478302, 0.08126794750514989, -0.07583929063038569, -0.315685443858677, 0.14734325818195243, -0.058257423985366506, 0.015833115292208218, -0.035480008841379085, -0.21287569404518772, -0.007789320112249562, 0.050942016447781124, 0.12371947766264256, 0.1802784549061505, 0.1795845011196961, -0.06611159869913603, -0.09622789409542544, 0.38274942604807494, -0.05910206821999539, -0.14803757110967466, 0.09552218406417659, -0.19201821964408192, -0.10879805499348337, 0.24287171096097085, 0.1775041911228795, 0.04720334110443728, -0.22593100569167426, 0.07239236920597641, 8.944606965529584e-05, 0.26089872673119063, 0.06831321859662638, 0.01096429009360172, 0.13678708897302988, 0.21788106923465939, -0.012307516198548724, 0.012118366467505345, -0.18776861396531147, 0.0010654789343406664, -0.3511271454811653, -0.1363065508508426, -0.11830052931653771, 0.13902918308555523, -0.0781165356592767, -0.06833963016065482, 0.31864938663893216, 0.052411355657033, 0.27653340160603, -0.0027945469542641505, 0.2932024281646047, 0.1473579004779023, 0.07150447103695369, 0.05507496537675507, 0.36433513524341526, 0.2379039143120748, 0.10266450821274073, -0.23421649629833333, 0.08932617966903844, -0.014557393824803495] |
707.4617 | Integrality of instanton numbers | We prove the results announced in a joint paper (arXiv:hep-th/0603106) with
Maxim Kontsevich and Albert Schwarz.
| math.AG | we prove the results announced in a joint paper arxivhepth0603106 with maxim kontsevich and albert schwarz | [['we', 'prove', 'the', 'results', 'announced', 'in', 'a', 'joint', 'paper', 'arxivhepth0603106', 'with', 'maxim', 'kontsevich', 'and', 'albert', 'schwarz']] | [-0.14331840413312116, -0.06007334079282979, -0.12835742235183717, 0.010730973025783897, -0.14987114568551382, -0.1081592601723969, 0.030058476771228016, 0.2658939426143964, -0.20866709984838963, -0.2755207632978757, 0.049559939024038616, -0.2451831955462694, -0.31603370408217113, 0.1552078555027644, -0.3265320898965001, 0.028582396156465014, 0.1466486632823944, -0.0037650144348541897, -0.06279953693350156, -0.3562986716007193, 0.3777836864193281, 0.09559977600971857, 0.17336158429582912, 0.11271818317472934, 0.12120476290583611, 0.1267451739870012, -0.13371172106514376, -0.05897058248519897, -0.22661107623328766, 0.12493534994622071, 0.24016381353139876, 0.13521559541113676, 0.24876518348852794, -0.36721192846695583, -0.12576218868295352, 0.14483089881638686, 0.06196474861353636, 0.08397662161538998, -0.07628304997148613, -0.3869995380441348, 0.1123973145460089, -0.2494749658430616, -0.18174750109513602, 0.021192858926951885, 0.032954890529314676, 0.012247434134284656, -0.24667526526997488, -0.005141657342513402, 0.20009081245710453, 0.06566437327613434, -0.10848496593534947, -0.14055181965231894, 0.04899403229355812, 0.048594357042262955, 0.10285450530548891, 0.0786839237747093, -0.032578322632859154, 0.0403130886455377, -0.2532463151961565, 0.26360498915115993, -0.10254843061168989, -0.1610693082213402, 0.09513001022860408, -0.10103544021646181, -0.2591605639085174, 0.0003263851006825765, 0.015003665474553902, 0.14293788218249878, -0.105930855187277, 0.13667081643749648, -0.1324805741508802, 0.029588755468527475, 0.21777511090040208, -0.12400551090637843, 0.05641292730967204, 0.07095878509183724, 0.012558079573015373, 0.184986758340771, -0.05929114806155364, -0.05137095774213473, -0.2863122542699178, -0.2578042736276984, -0.18542263184984525, 0.11000844190518061, 0.01635580922884401, -0.040091148515542345, 0.45889085133870444, 0.0368435342485706, 0.18137003357211748, 0.18895039738466343, 0.15198147272070248, 0.040067956876009704, -0.04498299285769462, 0.10650707827880979, 0.25157815193136535, 0.18424174015720685, 0.15288523025810719, -0.04560021795332432, -0.024941805563867093, 0.20424905450393757] |
707.4618 | Nonlinear Matroid Optimization and Experimental Design | We study the problem of optimizing nonlinear objective functions over
matroids presented by oracles or explicitly. Such functions can be interpreted
as the balancing of multi-criteria optimization. We provide a combinatorial
polynomial time algorithm for arbitrary oracle-presented matroids, that makes
repeated use of matroid intersection, and an algebraic algorithm for vectorial
matroids.
Our work is partly motivated by applications to minimum-aberration
model-fitting in experimental design in statistics, which we discuss and
demonstrate in detail.
| math.CO cs.CC cs.DM math.OC | we study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly such functions can be interpreted as the balancing of multicriteria optimization we provide a combinatorial polynomial time algorithm for arbitrary oraclepresented matroids that makes repeated use of matroid intersection and an algebraic algorithm for vectorial matroids our work is partly motivated by applications to minimumaberration modelfitting in experimental design in statistics which we discuss and demonstrate in detail | [['we', 'study', 'the', 'problem', 'of', 'optimizing', 'nonlinear', 'objective', 'functions', 'over', 'matroids', 'presented', 'by', 'oracles', 'or', 'explicitly', 'such', 'functions', 'can', 'be', 'interpreted', 'as', 'the', 'balancing', 'of', 'multicriteria', 'optimization', 'we', 'provide', 'a', 'combinatorial', 'polynomial', 'time', 'algorithm', 'for', 'arbitrary', 'oraclepresented', 'matroids', 'that', 'makes', 'repeated', 'use', 'of', 'matroid', 'intersection', 'and', 'an', 'algebraic', 'algorithm', 'for', 'vectorial', 'matroids', 'our', 'work', 'is', 'partly', 'motivated', 'by', 'applications', 'to', 'minimumaberration', 'modelfitting', 'in', 'experimental', 'design', 'in', 'statistics', 'which', 'we', 'discuss', 'and', 'demonstrate', 'in', 'detail']] | [-0.1197899909521867, 0.0012549362745630788, -0.058625473472703665, 0.08546571668800122, -0.11824192487013836, -0.12195306297831444, 0.03609900563929437, 0.42910255543473697, -0.3522345428290363, -0.30509109639226356, 0.10100116763149142, -0.15369304407957113, -0.23691185690242694, 0.21533963246878962, -0.1383013082215459, 0.10860646505736643, 0.05578958256066673, -0.052614499856443016, -0.06966762027867743, -0.30915090488269925, 0.3126483265239383, 0.03601831141471242, 0.20160687423776835, 0.08396951407970239, 0.11889233268771528, 0.0925140966573963, -0.04141456990166464, 0.07526129137032614, -0.1104687649451282, 0.12161341877072118, 0.3732849347612096, 0.2415836429119938, 0.270595397761402, -0.4428215811494738, -0.1466278670510898, 0.14721882778232814, 0.13823169747936642, 0.07376770902030533, -0.027028439572960552, -0.2046909741539922, 0.0704794633654981, -0.1387694067476938, -0.08321684077640788, -0.12080574771648066, -0.0020206130834089387, 0.06933628050804448, -0.3303016557151245, -0.032926494566102825, 0.056058469015018396, 0.08951454362573309, -0.05947425988658021, -0.1350970281883848, 0.07433092051198603, 0.041940401162719354, -0.0032883235027030525, 0.04878927605265441, 0.07262143591004941, -0.09290171746074015, -0.2353497646731234, 0.38107982425329584, 0.013263195972993143, -0.24404495906330542, 0.11586890685915326, -0.04374556284650074, -0.17422287741727713, 0.08723048684704635, 0.21125110000785854, 0.172822479734249, -0.11571927928727949, 0.09892476847906234, -0.11816384157605676, 0.09479666165619467, 0.07951972465121394, 0.0021675499867544407, 0.15201503041316755, 0.14640077614846328, 0.1107922144454076, 0.26112248866088017, 0.052253099093731076, -0.06997781038646483, -0.27894163553396034, -0.14735065766015193, -0.20198421601930427, 0.018838717369362712, -0.1337475590727182, -0.16584108014487559, 0.39848684881710345, 0.14690808129833183, 0.16314419170117211, 0.1385424860135471, 0.305569966427154, 0.09531203849473968, 0.019454714738660388, 0.07114533777995449, 0.20172195196048254, 0.13412185786162606, 0.043166244840702146, -0.16019583461780307, 0.0855997799210147, 0.1260149813283028] |
707.4619 | Control of sub-excitable waves in neural networks by nonlocal coupling | Transient wave forms in neural networks with diffusive and nonlocal coupling
have attracted particular interest because they may mediate recruitment of
healthy cortical tissue into a pathological state during migraine. To
investigate this process, we use a reaction-diffusion system of
inhibitor-activator type as a generic model of pathological wave propagation
and set it close to bifurcation in the sub-excitable regime. We report the
influence of various nonlocal connectivity schemes on wave propagation. Wave
propagation can be suppressed with cross coupling inhibitor and activator for
both positive and negative coupling strength K, depending on the connection
length d. The area in the parameter plane (d,K) where this control goal is
achieved resembles a Mexican-hat-type network connectivity. Our results suggest
that nonlocal synaptic transmission can control wave propagation, which may be
of therapeutic value.
| nlin.PS nlin.AO | transient wave forms in neural networks with diffusive and nonlocal coupling have attracted particular interest because they may mediate recruitment of healthy cortical tissue into a pathological state during migraine to investigate this process we use a reactiondiffusion system of inhibitoractivator type as a generic model of pathological wave propagation and set it close to bifurcation in the subexcitable regime we report the influence of various nonlocal connectivity schemes on wave propagation wave propagation can be suppressed with cross coupling inhibitor and activator for both positive and negative coupling strength k depending on the connection length d the area in the parameter plane dk where this control goal is achieved resembles a mexicanhattype network connectivity our results suggest that nonlocal synaptic transmission can control wave propagation which may be of therapeutic value | [['transient', 'wave', 'forms', 'in', 'neural', 'networks', 'with', 'diffusive', 'and', 'nonlocal', 'coupling', 'have', 'attracted', 'particular', 'interest', 'because', 'they', 'may', 'mediate', 'recruitment', 'of', 'healthy', 'cortical', 'tissue', 'into', 'a', 'pathological', 'state', 'during', 'migraine', 'to', 'investigate', 'this', 'process', 'we', 'use', 'a', 'reactiondiffusion', 'system', 'of', 'inhibitoractivator', 'type', 'as', 'a', 'generic', 'model', 'of', 'pathological', 'wave', 'propagation', 'and', 'set', 'it', 'close', 'to', 'bifurcation', 'in', 'the', 'subexcitable', 'regime', 'we', 'report', 'the', 'influence', 'of', 'various', 'nonlocal', 'connectivity', 'schemes', 'on', 'wave', 'propagation', 'wave', 'propagation', 'can', 'be', 'suppressed', 'with', 'cross', 'coupling', 'inhibitor', 'and', 'activator', 'for', 'both', 'positive', 'and', 'negative', 'coupling', 'strength', 'k', 'depending', 'on', 'the', 'connection', 'length', 'd', 'the', 'area', 'in', 'the', 'parameter', 'plane', 'dk', 'where', 'this', 'control', 'goal', 'is', 'achieved', 'resembles', 'a', 'mexicanhattype', 'network', 'connectivity', 'our', 'results', 'suggest', 'that', 'nonlocal', 'synaptic', 'transmission', 'can', 'control', 'wave', 'propagation', 'which', 'may', 'be', 'of', 'therapeutic', 'value']] | [-0.19466619452111467, 0.15229658727207085, -0.0031640776326410645, 0.027296111813748282, -0.10528472058460799, -0.18025978921933938, 0.04164614536415587, 0.3746819542436541, -0.2682518820172373, -0.2158113253669003, 0.06301945698614594, -0.24781740761809903, -0.2620181347286144, 0.17428897643099248, 0.0015358390386095483, 0.0391549812416539, 0.0511482793887551, 0.05546136842223012, 0.028185351463816774, -0.17003600560981807, 0.305319256995243, 0.0071444945367237995, 0.29675712752091976, 0.07102264925297208, 0.06739777013062294, -0.004804658981214299, 0.049424580241489505, 0.009731875809855076, -0.11898917226679134, 0.05912367957786351, 0.25933155834049215, 0.0940492728588221, 0.30525766063538445, -0.48266786053947364, -0.3038475965611807, 0.11457721131875087, 0.18348363519713767, 0.11840218879222045, -0.014666032623712912, -0.3150702150439033, 0.03866356189801706, -0.12251733955998287, -0.1056319781444, -0.04693126945141752, 0.01967984335034915, 0.04668082938821034, -0.29486795974084895, 0.10968744200263314, 0.015233508981266663, 0.015181970341799368, -0.05434253900880634, -0.05992457078936873, -0.05577195719513644, 0.10691508198448435, 0.042701359966881784, 0.06309252818566498, 0.15127201060913786, -0.16224676469440452, -0.09074421842713158, 0.29987730367379334, -0.048627185875208666, -0.21449941947508802, 0.20195597871242246, -0.11582071831332562, -0.06737732618002093, 0.15186835265761056, 0.24520946911603697, 0.0673649305502621, -0.13506092429018884, 0.012162465067182219, 0.020023998547232538, 0.16128793594832638, 0.1035598437479548, 0.042454075381046036, 0.16701598647441573, 0.2188705669072606, 0.040031001759152716, 0.10148642956141364, -0.09804345655631815, -0.0898158140302785, -0.2671516938419401, -0.1124416561832808, -0.12178884267910092, 0.08939505695489339, -0.10152797807027579, -0.17103997749127164, 0.4174055460598746, 0.1340378563413894, 0.1737372175130979, 0.04569398109243031, 0.1950168927339659, 0.10606668939565589, 0.06350689595707386, 0.03785847387639166, 0.2682312089196257, 0.1359635137407223, 0.11227052504523792, -0.2781387486651483, 0.14837929738760136, 0.026775959066918674] |
707.462 | Nuclear equation of state at high baryonic density and compact star
constraints | A mean field calculation is carried out to obtain the equation of state (EoS)
of nuclear matter from a density dependent M3Y interaction (DDM3Y). The energy
per nucleon is minimized to obtain ground state of the symmetric nuclear matter
(SNM). The constants of density dependence of the effective interaction are
obtained by reproducing the saturation energy per nucleon and the saturation
density of SNM. The energy variation of the exchange potential is treated
properly in the negative energy domain of nuclear matter. The EoS of SNM, thus
obtained, is not only free from the superluminosity problem but also provides
excellent estimate of nuclear incompressibility. The EoS of asymmetric nuclear
matter is calculated by adding to the isoscalar part, the isovector component
of M3Y interaction. The SNM and pure neutron matter EoS are used to calculate
the nuclear symmetry energy which is found to be consistent with that extracted
from the isospin diffusion in heavy-ion collisions at intermediate energies.
The $\beta$ equilibrium proton fraction calculated from the symmetry energy and
related theoretical findings are consistent with the constraints derived from
the observations on compact stars.
| nucl-th astro-ph hep-ph nucl-ex | a mean field calculation is carried out to obtain the equation of state eos of nuclear matter from a density dependent m3y interaction ddm3y the energy per nucleon is minimized to obtain ground state of the symmetric nuclear matter snm the constants of density dependence of the effective interaction are obtained by reproducing the saturation energy per nucleon and the saturation density of snm the energy variation of the exchange potential is treated properly in the negative energy domain of nuclear matter the eos of snm thus obtained is not only free from the superluminosity problem but also provides excellent estimate of nuclear incompressibility the eos of asymmetric nuclear matter is calculated by adding to the isoscalar part the isovector component of m3y interaction the snm and pure neutron matter eos are used to calculate the nuclear symmetry energy which is found to be consistent with that extracted from the isospin diffusion in heavyion collisions at intermediate energies the beta equilibrium proton fraction calculated from the symmetry energy and related theoretical findings are consistent with the constraints derived from the observations on compact stars | [['a', 'mean', 'field', 'calculation', 'is', 'carried', 'out', 'to', 'obtain', 'the', 'equation', 'of', 'state', 'eos', 'of', 'nuclear', 'matter', 'from', 'a', 'density', 'dependent', 'm3y', 'interaction', 'ddm3y', 'the', 'energy', 'per', 'nucleon', 'is', 'minimized', 'to', 'obtain', 'ground', 'state', 'of', 'the', 'symmetric', 'nuclear', 'matter', 'snm', 'the', 'constants', 'of', 'density', 'dependence', 'of', 'the', 'effective', 'interaction', 'are', 'obtained', 'by', 'reproducing', 'the', 'saturation', 'energy', 'per', 'nucleon', 'and', 'the', 'saturation', 'density', 'of', 'snm', 'the', 'energy', 'variation', 'of', 'the', 'exchange', 'potential', 'is', 'treated', 'properly', 'in', 'the', 'negative', 'energy', 'domain', 'of', 'nuclear', 'matter', 'the', 'eos', 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707.4621 | Semiparametrically efficient rank-based inference for shape I. optimal
rank-based tests for sphericity | We propose a class of rank-based procedures for testing that the shape matrix
$\mathbf{V}$ of an elliptical distribution (with unspecified center of
symmetry, scale and radial density) has some fixed value ${\mathbf{V}}_0$; this
includes, for ${\mathbf{V}}_0={\mathbf{I}}_k$, the problem of testing for
sphericity as an important particular case. The proposed tests are invariant
under translations, monotone radial transformations, rotations and reflections
with respect to the estimated center of symmetry. They are valid without any
moment assumption. For adequately chosen scores, they are locally
asymptotically maximin (in the Le Cam sense) at given radial densities. They
are strictly distribution-free when the center of symmetry is specified, and
asymptotically so when it must be estimated. The multivariate ranks used
throughout are those of the distances--in the metric associated with the null
value ${\mathbf{V}}_0$ of the shape matrix--between the observations and the
(estimated) center of the distribution. Local powers (against elliptical
alternatives) and asymptotic relative efficiencies (AREs) are derived with
respect to the adjusted Mauchly test (a modified version of the Gaussian
likelihood ratio procedure proposed by Muirhead and Waternaux [Biometrika 67
(1980) 31--43]) or, equivalently, with respect to (an extension of) the test
for sphericity introduced by John [Biometrika 58 (1971) 169--174]. For Gaussian
scores, these AREs are uniformly larger than one, irrespective of the actual
radial density. Necessary and/or sufficient conditions for consistency under
nonlocal, possibly nonelliptical alternatives are given. Finite sample
performances are investigated via a Monte Carlo study.
| math.ST stat.TH | we propose a class of rankbased procedures for testing that the shape matrix mathbfv of an elliptical distribution with unspecified center of symmetry scale and radial density has some fixed value mathbfv_0 this includes for mathbfv_0mathbfi_k the problem of testing for sphericity as an important particular case the proposed tests are invariant under translations monotone radial transformations rotations and reflections with respect to the estimated center of symmetry they are valid without any moment assumption for adequately chosen scores they are locally asymptotically maximin in the le cam sense at given radial densities they are strictly distributionfree when the center of symmetry is specified and asymptotically so when it must be estimated the multivariate ranks used throughout are those of the distancesin the metric associated with the null value mathbfv_0 of the shape matrixbetween the observations and the estimated center of the distribution local powers against elliptical alternatives and asymptotic relative efficiencies ares are derived with respect to the adjusted mauchly test a modified version of the gaussian likelihood ratio procedure proposed by muirhead and waternaux biometrika 67 1980 3143 or equivalently with respect to an extension of the test for sphericity introduced by john biometrika 58 1971 169174 for gaussian scores these ares are uniformly larger than one irrespective of the actual radial density necessary andor sufficient conditions for consistency under nonlocal possibly nonelliptical alternatives are given finite sample performances are investigated via a monte carlo study | [['we', 'propose', 'a', 'class', 'of', 'rankbased', 'procedures', 'for', 'testing', 'that', 'the', 'shape', 'matrix', 'mathbfv', 'of', 'an', 'elliptical', 'distribution', 'with', 'unspecified', 'center', 'of', 'symmetry', 'scale', 'and', 'radial', 'density', 'has', 'some', 'fixed', 'value', 'mathbfv_0', 'this', 'includes', 'for', 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707.4622 | Theory of spin qubits in nanostructures | We review recent advances on the theory of spin qubits in nanostructures. We
focus on four selected topics. First, we show how to form spin qubits in the
new and promising material graphene. Afterwards, we discuss spin relaxation and
decoherence in quantum dots. In particular, we demonstrate how charge
fluctations in the surrounding environment cause spin decay via spin--orbit
coupling. We then turn to a brief overview of how one can use electron-dipole
spin resonance (EDSR) to perform single spin rotations in quantum dots using an
oscillating electric field. The final topic we cover is the spin-spin coupling
via spin-orbit interaction which is an alternative to the usual spin-spin
coupling via the Heisenberg exchange interaction.
| cond-mat.mes-hall | we review recent advances on the theory of spin qubits in nanostructures we focus on four selected topics first we show how to form spin qubits in the new and promising material graphene afterwards we discuss spin relaxation and decoherence in quantum dots in particular we demonstrate how charge fluctations in the surrounding environment cause spin decay via spinorbit coupling we then turn to a brief overview of how one can use electrondipole spin resonance edsr to perform single spin rotations in quantum dots using an oscillating electric field the final topic we cover is the spinspin coupling via spinorbit interaction which is an alternative to the usual spinspin coupling via the heisenberg exchange interaction | [['we', 'review', 'recent', 'advances', 'on', 'the', 'theory', 'of', 'spin', 'qubits', 'in', 'nanostructures', 'we', 'focus', 'on', 'four', 'selected', 'topics', 'first', 'we', 'show', 'how', 'to', 'form', 'spin', 'qubits', 'in', 'the', 'new', 'and', 'promising', 'material', 'graphene', 'afterwards', 'we', 'discuss', 'spin', 'relaxation', 'and', 'decoherence', 'in', 'quantum', 'dots', 'in', 'particular', 'we', 'demonstrate', 'how', 'charge', 'fluctations', 'in', 'the', 'surrounding', 'environment', 'cause', 'spin', 'decay', 'via', 'spinorbit', 'coupling', 'we', 'then', 'turn', 'to', 'a', 'brief', 'overview', 'of', 'how', 'one', 'can', 'use', 'electrondipole', 'spin', 'resonance', 'edsr', 'to', 'perform', 'single', 'spin', 'rotations', 'in', 'quantum', 'dots', 'using', 'an', 'oscillating', 'electric', 'field', 'the', 'final', 'topic', 'we', 'cover', 'is', 'the', 'spinspin', 'coupling', 'via', 'spinorbit', 'interaction', 'which', 'is', 'an', 'alternative', 'to', 'the', 'usual', 'spinspin', 'coupling', 'via', 'the', 'heisenberg', 'exchange', 'interaction']] | [-0.1698736706258435, 0.20636492155787428, -0.01269766805987609, 0.03293924333513388, -0.06800068652649459, -0.13828568124588123, -0.006723077454105869, 0.43662498925665494, -0.2695847321955258, -0.25659189660821047, -0.001305146884222172, -0.2896981743397191, -0.15555024650274663, 0.1973592683574871, 0.03868514745038722, -0.02301550366131491, 0.011789655167887216, 0.006102844043389747, -0.09128059179260674, -0.23294579486052194, 0.2977356813223052, -0.013713832342131227, 0.2588141397409664, 0.1196032301155164, 0.048405786408438234, 0.09241121848064818, 0.11429306859836767, -0.04238212864290465, -0.16380576543068806, 0.09265483231406267, 0.21215712341884346, -0.004756860598398928, 0.21274744807905926, -0.5191020119543138, -0.12233592756705261, 0.004029858417261653, 0.1771931894564707, 0.22653044148842527, -0.088011399489468, -0.3021177149984348, -0.037541561349491145, -0.23024256821525724, -0.06576337741295758, -0.13724965492688251, 0.004743712215904931, -0.021634437985260758, -0.2374302808618124, 0.0555986095211681, 0.07455167975766878, 0.023179736524501716, -0.012459887551111087, -0.0682924756322775, 0.03541830084041545, 0.11092280018860229, 0.06474751189530811, 0.05226507730957676, 0.20041112825601248, -0.11021677774720286, -0.18889627114689925, 0.3059378199671444, -0.12179160052747057, -0.201341041862115, 0.1538582390078278, -0.15390295665220996, -0.13135191683224484, 0.03095484309290585, 0.18228332433653505, 0.10784723630109638, -0.1796002359121319, 0.0934441506876937, 0.03629223062869227, 0.16348029342643394, -0.002872566659853124, 0.11346729481061757, 0.27839402424727094, 0.1813506077823899, 0.04869623375615399, 0.17506450104216734, -0.11047148075069121, -0.13897791747902438, -0.25431261928098503, -0.16518987070058325, -0.2321846032261914, 0.14725114030992253, -0.029021060347236415, -0.09602911196845143, 0.44250379789318367, 0.21256280638351055, 0.16713532054666103, -0.08602293778370183, 0.2669856920920051, 0.07670590444876436, 0.060394362979486846, -0.0027038449127423135, 0.28883089756045754, 0.22825409673775235, 0.05417993139442906, -0.318805900014316, -0.02475096911841415, 0.008241501285514811] |
707.4623 | Preliminary measurement of Gamma(Ke2)/Gamma(Km2) at KLOE | A preliminary measurement of RK = Gamma(Ke2)/Gamma(Km2) at the KLOE
experiment is discussed. The result, RK = (2.55+-0.05+-0.05)x 10^-5, is based
on 1.7 fb^-1 of luminosity integrated on the phi-meson peak at the Frascati
e^+e^- collider DAFNE, corresponding to ~8000 observed Ke2 events. Perspectives
on the methods planned to improve both the statistical and the systematic
errors are briefly outlined.
| hep-ex | a preliminary measurement of rk gammake2gammakm2 at the kloe experiment is discussed the result rk 255005005x 105 is based on 17 fb1 of luminosity integrated on the phimeson peak at the frascati ee collider dafne corresponding to 8000 observed ke2 events perspectives on the methods planned to improve both the statistical and the systematic errors are briefly outlined | [['a', 'preliminary', 'measurement', 'of', 'rk', 'gammake2gammakm2', 'at', 'the', 'kloe', 'experiment', 'is', 'discussed', 'the', 'result', 'rk', '255005005x', '105', 'is', 'based', 'on', '17', 'fb1', 'of', 'luminosity', 'integrated', 'on', 'the', 'phimeson', 'peak', 'at', 'the', 'frascati', 'ee', 'collider', 'dafne', 'corresponding', 'to', '8000', 'observed', 'ke2', 'events', 'perspectives', 'on', 'the', 'methods', 'planned', 'to', 'improve', 'both', 'the', 'statistical', 'and', 'the', 'systematic', 'errors', 'are', 'briefly', 'outlined']] | [-0.029415154821305935, 0.10311913256321402, -0.09335366404515558, 0.13118925080717808, -0.02435521442436896, -0.09737990564566903, 0.04327320686674544, 0.3484451298468879, -0.1435678227405463, -0.3075892148824226, 0.09474008882950459, -0.4366705144722281, 0.07959042369787182, 0.24829777696036867, 0.030037890521011183, 0.14435634446895815, 0.1135602688466731, -0.008730216168000229, -0.10458484066683534, -0.26976080217199133, 0.21350051141676626, 0.17487904961620057, 0.30221844128599124, 0.09840862596008394, 0.1089850513464106, -0.05329131764925218, -0.12468923924357764, -0.07275415587771152, -0.14389608506046767, 0.0331063545163488, 0.2950612979808024, 0.14118927264020645, 0.19531330981824016, -0.33593216377110885, -0.01439274190800331, 0.09007362193993426, 0.09545666928170249, 0.009545338406626667, -0.046036954850673543, -0.35758613515645266, 0.10596515885221638, -0.17390988211679673, -0.09947272060838129, 0.058806398567477505, 0.03618330568341272, -0.04962472978513688, -0.2741972551614578, 0.04423358024463856, -0.06559898524678179, 0.12392407449494515, 0.0031740799167891964, -0.27852920985813917, 0.03920925217348018, -0.05312456637953541, 0.006593410815444908, 0.10985275845035046, 0.21261598755206382, -0.02690038543161271, -0.18119291638556337, 0.35083073234584716, -0.04720757439333413, -0.05984258581884205, 0.1756112869271809, -0.20641742846263306, -0.11979321984940075, 0.11598727393097111, 0.27388770682072, 0.01832668764317142, -0.1903238981197189, 0.047456971667998005, 0.05453434829334063, 0.15639464169674153, 0.03278145791097943, 0.045183093287050724, 0.1766770920450134, 0.25268256754913765, 0.0015953186001362546, 0.05050941716347422, -0.15414359354430676, -0.017652536151997213, -0.4502252111477511, -0.0644432515504637, -0.07868303617786816, 0.029315332873790925, -0.02257492248541634, 0.010649820922740869, 0.37373580577384147, 0.15122840174340776, 0.2687494979140216, 0.009597156708228536, 0.3174693954975477, 0.12465391948353499, 0.011328833741572453, 0.039398914012573574, 0.34960707573087085, 0.10877413094879428, 0.17829678047149042, -0.27644660329679027, -0.0029110111811730477, 0.02186293907912581] |
707.4624 | Conceptual Design of a Micron-Scale Atomic Clock | A theoretical proposal for reducing an entire atomic clock to micron
dimensions. A phosphorus or nitrogen atom is introduced into a fullerene cage.
This endohedral fullerene is then coated with an insulating shell and a number
of them are deposited as a thin layer on a silicon chip. Next to this layer a
GMR sensor is fabricated which is close to the endohedral fullerenes. This GMR
sensor measures oscillating magnetic fields on the order of micro-gauss from
the nuclear spins varying at the frequency of the hyperfine transition (413 MHz
frequency). Given the micron scale and simplicity of this system only a few
transistors are needed to control the waveforms and to perform digital
clocking. This new form of atomic clock exhibits extremely low power (nano
watts), high vibration and shock resistance, stability on the order of 10^{-9},
and is compatible with MEMS fabrication and chip integration. As GMR sensors
continue to improve in sensitivity the stability of this form of atomic clock
will increase proportionately.
| physics.atom-ph physics.ins-det | a theoretical proposal for reducing an entire atomic clock to micron dimensions a phosphorus or nitrogen atom is introduced into a fullerene cage this endohedral fullerene is then coated with an insulating shell and a number of them are deposited as a thin layer on a silicon chip next to this layer a gmr sensor is fabricated which is close to the endohedral fullerenes this gmr sensor measures oscillating magnetic fields on the order of microgauss from the nuclear spins varying at the frequency of the hyperfine transition 413 mhz frequency given the micron scale and simplicity of this system only a few transistors are needed to control the waveforms and to perform digital clocking this new form of atomic clock exhibits extremely low power nano watts high vibration and shock resistance stability on the order of 109 and is compatible with mems fabrication and chip integration as gmr sensors continue to improve in sensitivity the stability of this form of atomic clock will increase proportionately | [['a', 'theoretical', 'proposal', 'for', 'reducing', 'an', 'entire', 'atomic', 'clock', 'to', 'micron', 'dimensions', 'a', 'phosphorus', 'or', 'nitrogen', 'atom', 'is', 'introduced', 'into', 'a', 'fullerene', 'cage', 'this', 'endohedral', 'fullerene', 'is', 'then', 'coated', 'with', 'an', 'insulating', 'shell', 'and', 'a', 'number', 'of', 'them', 'are', 'deposited', 'as', 'a', 'thin', 'layer', 'on', 'a', 'silicon', 'chip', 'next', 'to', 'this', 'layer', 'a', 'gmr', 'sensor', 'is', 'fabricated', 'which', 'is', 'close', 'to', 'the', 'endohedral', 'fullerenes', 'this', 'gmr', 'sensor', 'measures', 'oscillating', 'magnetic', 'fields', 'on', 'the', 'order', 'of', 'microgauss', 'from', 'the', 'nuclear', 'spins', 'varying', 'at', 'the', 'frequency', 'of', 'the', 'hyperfine', 'transition', '413', 'mhz', 'frequency', 'given', 'the', 'micron', 'scale', 'and', 'simplicity', 'of', 'this', 'system', 'only', 'a', 'few', 'transistors', 'are', 'needed', 'to', 'control', 'the', 'waveforms', 'and', 'to', 'perform', 'digital', 'clocking', 'this', 'new', 'form', 'of', 'atomic', 'clock', 'exhibits', 'extremely', 'low', 'power', 'nano', 'watts', 'high', 'vibration', 'and', 'shock', 'resistance', 'stability', 'on', 'the', 'order', 'of', '109', 'and', 'is', 'compatible', 'with', 'mems', 'fabrication', 'and', 'chip', 'integration', 'as', 'gmr', 'sensors', 'continue', 'to', 'improve', 'in', 'sensitivity', 'the', 'stability', 'of', 'this', 'form', 'of', 'atomic', 'clock', 'will', 'increase', 'proportionately']] | [-0.12017525721436748, 0.1536458902166531, 0.029631378716811627, -0.07262384461544746, -0.027172831230774432, -0.15125308145561356, 0.07915184831706784, 0.4238992517881365, -0.20112132423568563, -0.3240946358776685, 0.04790799382790721, -0.28536500374741675, -0.05980236734353365, 0.16941809345524847, -0.03805082179718169, 0.030405640091567515, 0.005318939047641155, 0.0016940966436459896, -0.023933808829814912, -0.18830713999446436, 0.20883054983322102, 0.13197211152593413, 0.2756923783110477, 0.060266316730910575, 0.10971176095940846, -0.09182094865764705, 0.10046240590871816, -0.019526361799181765, -0.11157003238079059, 0.14089943187631082, 0.24071574878755464, -0.023615062278863716, 0.25561783728133664, -0.48412661331829177, -0.15920059301284512, 0.02776346323978021, 0.13080208521639278, 0.13127447426226552, -0.045913884118872594, -0.2785882686043203, 0.07933270821841545, -0.19701276511425175, -0.1187253258308867, -0.03076077517997249, 0.04226861713757088, 0.05277173079729798, -0.2516147529482645, 0.009333908203035503, 0.043015121614857835, 0.07908940400454183, -0.08384983709463513, -0.10786161951493495, -0.013907203383474466, 0.06697288943112391, -0.036932520508059265, 0.023476388606983405, 0.2616131205128573, -0.06402603482143078, -0.07538061319985034, 0.36385643201128365, -0.03299194941555251, -0.10426193889769086, 0.16583036676439153, -0.1606904515233564, -0.05939762842706797, 0.1570637904665803, 0.14954364290517047, 0.09027545567579477, -0.1414999342853125, 0.04600309972116213, 0.04401968157547245, 0.2618206701948341, 0.15165165336858705, 0.07756272114915717, 0.21945408401808825, 0.25011584002255316, 0.06804870620246482, 0.1555093253923423, -0.16577857786930497, -0.005808563072638339, -0.22357005951084555, -0.15989636894208883, -0.20689326877907727, 0.10268653625852417, -0.090599521989857, -0.19894638151513883, 0.3911001893343875, 0.11234583500323884, 0.16386872350731976, -0.03618437401650204, 0.333152863551885, 0.08991006397816118, 0.11691494558163616, -0.030034870372142596, 0.27567182529538153, 0.19732427563383637, 0.14026879515445928, -0.22246393820702895, 0.03671088619494295, -0.030839352400030894] |
707.4625 | Holographic Dark Energy Model with Modified Generalized Chaplygin Gas | We present a holographic dark energy model of the universe considering
modified generalized Chaplygin gas (GCG). The modified GCG behaves as an
ordinary barotropic fluid in the early epoch when the universe was tiny but
behaves subsequently as a $\Lambda$CDM model at late epoch. An equivalent model
with scalar field is obtained here by constructing the corresponding potential.
The holographic dark energy is identified with the modified GCG and we
determine the corresponding holographic dark energy field and its potential.
The stability of the holographic dark energy in this case is also discussed.
| gr-qc | we present a holographic dark energy model of the universe considering modified generalized chaplygin gas gcg the modified gcg behaves as an ordinary barotropic fluid in the early epoch when the universe was tiny but behaves subsequently as a lambdacdm model at late epoch an equivalent model with scalar field is obtained here by constructing the corresponding potential the holographic dark energy is identified with the modified gcg and we determine the corresponding holographic dark energy field and its potential the stability of the holographic dark energy in this case is also discussed | [['we', 'present', 'a', 'holographic', 'dark', 'energy', 'model', 'of', 'the', 'universe', 'considering', 'modified', 'generalized', 'chaplygin', 'gas', 'gcg', 'the', 'modified', 'gcg', 'behaves', 'as', 'an', 'ordinary', 'barotropic', 'fluid', 'in', 'the', 'early', 'epoch', 'when', 'the', 'universe', 'was', 'tiny', 'but', 'behaves', 'subsequently', 'as', 'a', 'lambdacdm', 'model', 'at', 'late', 'epoch', 'an', 'equivalent', 'model', 'with', 'scalar', 'field', 'is', 'obtained', 'here', 'by', 'constructing', 'the', 'corresponding', 'potential', 'the', 'holographic', 'dark', 'energy', 'is', 'identified', 'with', 'the', 'modified', 'gcg', 'and', 'we', 'determine', 'the', 'corresponding', 'holographic', 'dark', 'energy', 'field', 'and', 'its', 'potential', 'the', 'stability', 'of', 'the', 'holographic', 'dark', 'energy', 'in', 'this', 'case', 'is', 'also', 'discussed']] | [-0.09826771432586436, 0.15102116874780916, -0.15887552187828127, 0.1271473346303107, -0.09269811037767639, -0.17947827910964367, -0.11057608696051262, 0.25853577316288023, -0.22402240808612556, -0.3214413102926506, 0.013912645436482884, -0.23486772890613283, -0.036116234637716765, 0.09398853377519195, 0.022757513894228844, 0.000263835768520792, -0.061139080312944225, 0.06600313679745762, -0.02833203458657829, -0.29869992744618207, 0.33674581098164963, 0.17528538877940586, 0.24115494053600536, 0.010868041220331384, 0.11946267248581975, -0.06433398760254344, -0.006731651573171539, 0.03807798157676413, -0.2466741263245543, -0.010037481214009946, 0.1586806659376429, 0.09969692639205405, 0.20197894409178727, -0.3980189971725947, -0.295084179969885, 0.17181509385706598, 0.15393211287997102, 0.1277609616492985, -0.09383156523108482, -0.26485986062025113, 0.006426984864857889, -0.23608376391191957, -0.18588670722198902, -0.015231507469809825, -0.058460292754374366, -0.020728433214288244, -0.2051030384546887, 0.18323660878964038, -0.06019093105269055, -0.09422007239654019, -0.15870172299960408, -0.0767272555229244, -0.054834298408960785, -0.049798507554774545, 0.07195035806701829, 0.0227084220587326, 0.15685829090615433, -0.23492038856080222, -0.0016085993791479737, 0.45506359858848955, -0.2171039971202532, -0.1391738438603258, 0.1331651876630482, -0.05050262710159664, -0.09094758731343093, 0.04715928076315792, 0.048668186470705976, 0.06091915180666312, -0.14168420767299555, 0.1655844974779694, -0.02791705697346779, 0.15248900824176367, 0.06348420036656241, -0.01602771457645201, 0.3174298020900898, 0.17241466938898528, -0.011698576631725476, 0.1714266733797167, -0.057636526633574756, -0.12716486627456322, -0.36516208593202854, -0.21428078646340998, -0.19378188524835854, 0.013119724611701664, -0.15206138911795983, -0.11508337068321403, 0.3976049887677354, 0.07267763465392574, 0.17510309612118108, 0.040887429068485893, 0.3198580810780166, 0.13556732082869657, -0.022278113881506585, 0.09712616530227004, 0.31296498457630795, 0.1141257422490506, 0.16208591816886778, -0.251029356102389, -0.07592998957762154, 0.06487223136699408] |
707.4626 | The First Swift BAT Gamma-Ray Burst Catalog | We present the first Swift Burst Alert Telescope (BAT) catalog of gamma-ray
bursts (GRBs), which contains bursts detected by the BAT between 2004 December
19 and 2007 June 16. This catalog (hereafter BAT1 catalog) contains burst
trigger time, location, 90% error radius, duration, fluence, peak flux, and
time averaged spectral parameters for each of 237 GRBs, as measured by the BAT.
The BAT-determined position reported here is within 1.75' of the Swift X-ray
Telescope (XRT)-determined position for 90% of these GRBs. The BAT T_90 and
T_50 durations peak at 80 and 20 seconds, respectively. From the
fluence-fluence correlation, we conclude that about 60% of the observed peak
energies, Epeak, of BAT GRBs could be less than 100 keV. We confirm that GRB
fluence to hardness and GRB peak flux to hardness are correlated for BAT bursts
in analogous ways to previous missions' results. The correlation between the
photon index in a simple power-law model and Epeak is also confirmed. We also
report the current status for the on-orbit BAT calibrations based on
observations of the Crab Nebula.
| astro-ph | we present the first swift burst alert telescope bat catalog of gammaray bursts grbs which contains bursts detected by the bat between 2004 december 19 and 2007 june 16 this catalog hereafter bat1 catalog contains burst trigger time location 90 error radius duration fluence peak flux and time averaged spectral parameters for each of 237 grbs as measured by the bat the batdetermined position reported here is within 175 of the swift xray telescope xrtdetermined position for 90 of these grbs the bat t_90 and t_50 durations peak at 80 and 20 seconds respectively from the fluencefluence correlation we conclude that about 60 of the observed peak energies epeak of bat grbs could be less than 100 kev we confirm that grb fluence to hardness and grb peak flux to hardness are correlated for bat bursts in analogous ways to previous missions results the correlation between the photon index in a simple powerlaw model and epeak is also confirmed we also report the current status for the onorbit bat calibrations based on observations of the crab nebula | [['we', 'present', 'the', 'first', 'swift', 'burst', 'alert', 'telescope', 'bat', 'catalog', 'of', 'gammaray', 'bursts', 'grbs', 'which', 'contains', 'bursts', 'detected', 'by', 'the', 'bat', 'between', '2004', 'december', '19', 'and', '2007', 'june', '16', 'this', 'catalog', 'hereafter', 'bat1', 'catalog', 'contains', 'burst', 'trigger', 'time', 'location', '90', 'error', 'radius', 'duration', 'fluence', 'peak', 'flux', 'and', 'time', 'averaged', 'spectral', 'parameters', 'for', 'each', 'of', '237', 'grbs', 'as', 'measured', 'by', 'the', 'bat', 'the', 'batdetermined', 'position', 'reported', 'here', 'is', 'within', '175', 'of', 'the', 'swift', 'xray', 'telescope', 'xrtdetermined', 'position', 'for', '90', 'of', 'these', 'grbs', 'the', 'bat', 't_90', 'and', 't_50', 'durations', 'peak', 'at', '80', 'and', '20', 'seconds', 'respectively', 'from', 'the', 'fluencefluence', 'correlation', 'we', 'conclude', 'that', 'about', '60', 'of', 'the', 'observed', 'peak', 'energies', 'epeak', 'of', 'bat', 'grbs', 'could', 'be', 'less', 'than', '100', 'kev', 'we', 'confirm', 'that', 'grb', 'fluence', 'to', 'hardness', 'and', 'grb', 'peak', 'flux', 'to', 'hardness', 'are', 'correlated', 'for', 'bat', 'bursts', 'in', 'analogous', 'ways', 'to', 'previous', 'missions', 'results', 'the', 'correlation', 'between', 'the', 'photon', 'index', 'in', 'a', 'simple', 'powerlaw', 'model', 'and', 'epeak', 'is', 'also', 'confirmed', 'we', 'also', 'report', 'the', 'current', 'status', 'for', 'the', 'onorbit', 'bat', 'calibrations', 'based', 'on', 'observations', 'of', 'the', 'crab', 'nebula']] | [-0.03875679223975866, 0.16219385706138598, -0.04330907363412267, 0.20547072845443845, -0.10331973434436657, -0.09441262515493254, 0.1300057614561321, 0.522232244383393, -0.10095283746277925, -0.448686535109502, 0.010552183493455021, -0.3990830818266538, -0.0035815934268380867, 0.293275301520998, -0.03708241113213919, 0.001959608399411502, 0.09589768982710414, -0.10272888675725055, -0.08319290886455447, -0.29310356199100746, 0.1508753862315412, 0.1963301898556293, 0.21824297717620345, -0.012667547900638829, 0.08645211144571187, -0.02113363291863675, -0.08131278789672204, -0.08708028304740528, -0.1330191213857131, -0.03301957565106753, 0.22533863191250603, 0.11842584743324634, 0.16700392655457633, -0.31149636415261345, -0.19416411723026392, 0.08956912785197872, 0.09437352565730885, -0.12055521210550595, 0.016177864098582267, -0.319430032478527, 0.044343357528909784, -0.22099435349894053, -0.14138948758579575, 0.13122052022638175, 0.115238243143338, 0.12292938118778987, -0.11436420883996833, 0.16156757748625214, -0.04015648049017081, 0.0656660964505241, -0.14989428833864543, -0.016622146887629363, 0.03268439225136502, 0.027948105540880234, 0.0597784071265736, 0.09546845891604448, 0.12600572450043407, -0.06829338843329955, -0.10756931591892044, 0.34020596875060843, -0.0023452411208071643, 0.14662774167739587, 0.08770574136324916, -0.1940409123246165, -0.2104846297984006, 0.2438860815772087, 0.10354699045850363, 0.06401961161472398, -0.18262421020516598, -0.059852354112333576, 0.020956386587612136, 0.32099089570171224, 0.04721075291691531, 0.053924043767821755, 0.20382176670434243, 0.10643476603897234, 0.02197045387129563, 0.10241564960660401, -0.36101187012330604, 0.05530128899875576, -0.33529093514083524, -0.05946979512099844, -0.152224247626465, 0.13449952421128492, -0.08902857285157799, -0.07501052496039626, 0.4871026669155182, 0.09747524072572245, 0.17782164028458125, 0.11516258470657567, 0.242092392821877, 0.09517905920289048, 0.021694787782670748, 0.14150913550136235, 0.39125604427963323, 0.04027241493193056, 0.13738679588971542, -0.15341396033198632, 0.08361596604701498, 0.017468060024965534] |
707.4627 | GRI: focusing on the evolving violent Universe | The Gamma-Ray Imager (GRI) is a novel mission concept that will provide an
unprecedented sensitivity leap in the soft gamma-ray domain by using for the
first time a focusing lens built of Laue diffracting crystals. The lens will
cover an energy band from 200 - 1300 keV with an effective area reaching 600
cm2. It will be complemented by a single reflection multilayer coated mirror,
extending the GRI energy band into the hard X-ray regime, down to ~10 keV. The
concentrated photons will be collected by a position sensitive pixelised CZT
stack detector. We estimate continuum sensitivities of better than 10^-7
ph/cm2/s/keV for a 100 ks exposure; the narrow line sensitivity will be better
than 3 x 10^-6 ph/cm2/s for the same integration time. As focusing instrument,
GRI will have an angular resolution of better than 30 arcsec within a field of
view of roughly 5 arcmin - an unprecedented achievement in the gamma-ray
domain. Owing to the large focal length of 100 m of the lens and the mirror,
the optics and detector will be placed on two separate spacecrafts flying in
formation in a high elliptical orbit. R&D work to enable the lens focusing
technology and to develop the required focal plane detector is currently
underway, financed by ASI, CNES, ESA, and the Spanish Ministery of Education
and Science. The GRI mission is proposed as class M mission for ESA's Cosmic
Vision 2015-2025 program. GRI will allow studies of particle acceleration
processes and explosion physics in unprecedented detail, providing essential
clues on the innermost nature of the most violent and most energetic processes
in the Universe.
| astro-ph | the gammaray imager gri is a novel mission concept that will provide an unprecedented sensitivity leap in the soft gammaray domain by using for the first time a focusing lens built of laue diffracting crystals the lens will cover an energy band from 200 1300 kev with an effective area reaching 600 cm2 it will be complemented by a single reflection multilayer coated mirror extending the gri energy band into the hard xray regime down to 10 kev the concentrated photons will be collected by a position sensitive pixelised czt stack detector we estimate continuum sensitivities of better than 107 phcm2skev for a 100 ks exposure the narrow line sensitivity will be better than 3 x 106 phcm2s for the same integration time as focusing instrument gri will have an angular resolution of better than 30 arcsec within a field of view of roughly 5 arcmin an unprecedented achievement in the gammaray domain owing to the large focal length of 100 m of the lens and the mirror the optics and detector will be placed on two separate spacecrafts flying in formation in a high elliptical orbit rd work to enable the lens focusing technology and to develop the required focal plane detector is currently underway financed by asi cnes esa and the spanish ministery of education and science the gri mission is proposed as class m mission for esas cosmic vision 20152025 program gri will allow studies of particle acceleration processes and explosion physics in unprecedented detail providing essential clues on the innermost nature of the most violent and most energetic processes in the universe | [['the', 'gammaray', 'imager', 'gri', 'is', 'a', 'novel', 'mission', 'concept', 'that', 'will', 'provide', 'an', 'unprecedented', 'sensitivity', 'leap', 'in', 'the', 'soft', 'gammaray', 'domain', 'by', 'using', 'for', 'the', 'first', 'time', 'a', 'focusing', 'lens', 'built', 'of', 'laue', 'diffracting', 'crystals', 'the', 'lens', 'will', 'cover', 'an', 'energy', 'band', 'from', '200', '1300', 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707.4628 | Forbidden patterns and shift systems | The scope of this paper is two-fold. First, to present to the researchers in
combinatorics an interesting implementation of permutations avoiding
generalized patterns in the framework of discrete-time dynamical systems.
Indeed, the orbits generated by piecewise monotone maps on one-dimensional
intervals have forbidden order patterns, i.e., order patterns that do not occur
in any orbit. The allowed patterns are then those patterns avoiding the
so-called forbidden root patterns and their shifted patterns. The second scope
is to study forbidden patterns in shift systems, which are universal models in
information theory, dynamical systems and stochastic processes. Due to its
simple structure, shift systems are accessible to a more detailed analysis and,
at the same time, exhibit all important properties of low-dimensional chaotic
dynamical systems (e.g., sensitivity to initial conditions, strong mixing and a
dense set of periodic points), allowing to export the results to other
dynamical systems via order-isomorphisms.
| math.DS math.CO | the scope of this paper is twofold first to present to the researchers in combinatorics an interesting implementation of permutations avoiding generalized patterns in the framework of discretetime dynamical systems indeed the orbits generated by piecewise monotone maps on onedimensional intervals have forbidden order patterns ie order patterns that do not occur in any orbit the allowed patterns are then those patterns avoiding the socalled forbidden root patterns and their shifted patterns the second scope is to study forbidden patterns in shift systems which are universal models in information theory dynamical systems and stochastic processes due to its simple structure shift systems are accessible to a more detailed analysis and at the same time exhibit all important properties of lowdimensional chaotic dynamical systems eg sensitivity to initial conditions strong mixing and a dense set of periodic points allowing to export the results to other dynamical systems via orderisomorphisms | [['the', 'scope', 'of', 'this', 'paper', 'is', 'twofold', 'first', 'to', 'present', 'to', 'the', 'researchers', 'in', 'combinatorics', 'an', 'interesting', 'implementation', 'of', 'permutations', 'avoiding', 'generalized', 'patterns', 'in', 'the', 'framework', 'of', 'discretetime', 'dynamical', 'systems', 'indeed', 'the', 'orbits', 'generated', 'by', 'piecewise', 'monotone', 'maps', 'on', 'onedimensional', 'intervals', 'have', 'forbidden', 'order', 'patterns', 'ie', 'order', 'patterns', 'that', 'do', 'not', 'occur', 'in', 'any', 'orbit', 'the', 'allowed', 'patterns', 'are', 'then', 'those', 'patterns', 'avoiding', 'the', 'socalled', 'forbidden', 'root', 'patterns', 'and', 'their', 'shifted', 'patterns', 'the', 'second', 'scope', 'is', 'to', 'study', 'forbidden', 'patterns', 'in', 'shift', 'systems', 'which', 'are', 'universal', 'models', 'in', 'information', 'theory', 'dynamical', 'systems', 'and', 'stochastic', 'processes', 'due', 'to', 'its', 'simple', 'structure', 'shift', 'systems', 'are', 'accessible', 'to', 'a', 'more', 'detailed', 'analysis', 'and', 'at', 'the', 'same', 'time', 'exhibit', 'all', 'important', 'properties', 'of', 'lowdimensional', 'chaotic', 'dynamical', 'systems', 'eg', 'sensitivity', 'to', 'initial', 'conditions', 'strong', 'mixing', 'and', 'a', 'dense', 'set', 'of', 'periodic', 'points', 'allowing', 'to', 'export', 'the', 'results', 'to', 'other', 'dynamical', 'systems', 'via', 'orderisomorphisms']] | [-0.16800577878448353, 0.15271060498913222, -0.07411826601201275, 0.0913621831178611, -0.07755232071757417, -0.103969224982065, 0.07009787582570598, 0.36122935876681084, -0.32847453581587394, -0.2491306425135608, 0.11898154178776835, -0.2602365687172733, -0.1827068008849917, 0.19762095391550766, -0.060745156065206085, 0.07389442525371644, 0.043812025316236985, 0.011417875409310012, -0.08757859510116178, -0.21465480035775955, 0.31657302326072945, 0.028954305130905997, 0.24572081152558783, -0.021382757399205855, 0.030675230701422307, -0.00879566971098586, -0.03190851078026605, 0.01694433750872988, -0.12723622172873914, 0.12716169348683487, 0.23946254733478398, 0.11632686634833107, 0.22738948031201908, -0.4127151361622271, -0.2164769240426926, 0.15458136052526786, 0.1388999794715371, 0.14074347427567835, -0.010671113297477093, -0.3029612316860862, 0.11137126991208517, -0.12228299920022691, -0.15373958095426665, -0.09942280182766976, 0.03496546404702323, 0.04240924669081206, -0.23737991290035512, 0.05373280569847648, 0.11903399161497118, 0.09396048797750656, -0.00982059141522793, -0.04385485221967608, -0.032789792808495005, 0.1600308358719965, 0.004713186636237669, -0.05405186345962314, 0.10463851600644641, -0.09408512537139563, -0.1493743089642249, 0.4238338066315671, -0.007381400570184702, -0.19233504512987168, 0.25242297550929443, -0.17783086835311687, -0.1555350470724104, 0.1657323324308433, 0.2013481193242696, 0.11822127383740834, -0.17504153141576073, 0.06995657177762363, -0.021246490759306215, 0.17462071719825692, 0.0747478369363666, 0.05915809253414421, 0.22409220845406863, 0.11469880025833845, 0.08544219070158544, 0.11307509971638433, 0.0005618854644423237, -0.16272831149716058, -0.25088405884726317, -0.05590104560057322, -0.08766967101976098, -0.031190150782373277, -0.0537454442530522, -0.19416519434375018, 0.4143080968270395, 0.15183184873376068, 0.21355708566380247, 0.027843763612267772, 0.25651141785427317, 0.12100763455736942, 0.07016529386932803, 0.029991732454117462, 0.14453101667993684, 0.12917587767690927, 0.09603412611074238, -0.19654547346325837, 0.07896469040539394, 0.05549148767933148] |
707.4629 | On the role of stochastic Fermi acceleration in setting the dissipation
scale of turbulence in the interstellar medium | We consider the dissipation by Fermi acceleration of magnetosonic turbulence
in the Reynolds Layer of the interstellar medium. The scale in the cascade at
which electron acceleration via stochastic Fermi acceleration (STFA) becomes
comparable to further cascade of the turbulence defines the inner scale. For
any magnetic turbulent spectra equal to or shallower than Goldreich-Sridhar
this turns out to be $\ge 10^{12}$cm, which is much larger than the shortest
length scales observed in radio scintillation measurements. While STFA for such
spectra then contradict models of scintillation which appeal directly to an
extended, continuous turbulent cascade, such a separation of scales is
consistent with the recent work of \citet{Boldyrev2} and \citet{Boldyrev3}
suggesting that interstellar scintillation may result from the passage of radio
waves through the galactic distribution of thin ionized boundary surfaces of
HII regions, rather than density variations from cascading turbulence. The
presence of STFA dissipation also provides a mechanism for the non-ionizing
heat source observed in the Reynolds Layer of the interstellar medium
\citep{Reynolds}. STFA accommodates the proper heating power, and the input
energy is rapidly thermalized within the low density Reynolds layer plasma.
| astro-ph | we consider the dissipation by fermi acceleration of magnetosonic turbulence in the reynolds layer of the interstellar medium the scale in the cascade at which electron acceleration via stochastic fermi acceleration stfa becomes comparable to further cascade of the turbulence defines the inner scale for any magnetic turbulent spectra equal to or shallower than goldreichsridhar this turns out to be ge 1012cm which is much larger than the shortest length scales observed in radio scintillation measurements while stfa for such spectra then contradict models of scintillation which appeal directly to an extended continuous turbulent cascade such a separation of scales is consistent with the recent work of citetboldyrev2 and citetboldyrev3 suggesting that interstellar scintillation may result from the passage of radio waves through the galactic distribution of thin ionized boundary surfaces of hii regions rather than density variations from cascading turbulence the presence of stfa dissipation also provides a mechanism for the nonionizing heat source observed in the reynolds layer of the interstellar medium citepreynolds stfa accommodates the proper heating power and the input energy is rapidly thermalized within the low density reynolds layer plasma | [['we', 'consider', 'the', 'dissipation', 'by', 'fermi', 'acceleration', 'of', 'magnetosonic', 'turbulence', 'in', 'the', 'reynolds', 'layer', 'of', 'the', 'interstellar', 'medium', 'the', 'scale', 'in', 'the', 'cascade', 'at', 'which', 'electron', 'acceleration', 'via', 'stochastic', 'fermi', 'acceleration', 'stfa', 'becomes', 'comparable', 'to', 'further', 'cascade', 'of', 'the', 'turbulence', 'defines', 'the', 'inner', 'scale', 'for', 'any', 'magnetic', 'turbulent', 'spectra', 'equal', 'to', 'or', 'shallower', 'than', 'goldreichsridhar', 'this', 'turns', 'out', 'to', 'be', 'ge', '1012cm', 'which', 'is', 'much', 'larger', 'than', 'the', 'shortest', 'length', 'scales', 'observed', 'in', 'radio', 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