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 |
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712.0979 | Equivalence of conditional and external field ensembles in absorbing
state phase transitions | I comment on the relation between two sampling methods for absorbing state
models. It is shown that a certain ensemble without external field conditional
to activity coincides with the unconditional ensemble for sufficiently small
external field. The actual physical processes involved are identical and the
derivation of the identity of the scaling behaviour relies on a single
(established) scaling law. While the conditional ensemble by construction does
not contain information about the system with large external field, it contains
all information about the limit of vanishing external field and about the
vicinity of the critical point: Finite size scaling as well as critical scaling
in the temperature-like variable or in (small) external field.
| cond-mat.stat-mech | i comment on the relation between two sampling methods for absorbing state models it is shown that a certain ensemble without external field conditional to activity coincides with the unconditional ensemble for sufficiently small external field the actual physical processes involved are identical and the derivation of the identity of the scaling behaviour relies on a single established scaling law while the conditional ensemble by construction does not contain information about the system with large external field it contains all information about the limit of vanishing external field and about the vicinity of the critical point finite size scaling as well as critical scaling in the temperaturelike variable or in small external field | [['i', 'comment', 'on', 'the', 'relation', 'between', 'two', 'sampling', 'methods', 'for', 'absorbing', 'state', 'models', 'it', 'is', 'shown', 'that', 'a', 'certain', 'ensemble', 'without', 'external', 'field', 'conditional', 'to', 'activity', 'coincides', 'with', 'the', 'unconditional', 'ensemble', 'for', 'sufficiently', 'small', 'external', 'field', 'the', 'actual', 'physical', 'processes', 'involved', 'are', 'identical', 'and', 'the', 'derivation', 'of', 'the', 'identity', 'of', 'the', 'scaling', 'behaviour', 'relies', 'on', 'a', 'single', 'established', 'scaling', 'law', 'while', 'the', 'conditional', 'ensemble', 'by', 'construction', 'does', 'not', 'contain', 'information', 'about', 'the', 'system', 'with', 'large', 'external', 'field', 'it', 'contains', 'all', 'information', 'about', 'the', 'limit', 'of', 'vanishing', 'external', 'field', 'and', 'about', 'the', 'vicinity', 'of', 'the', 'critical', 'point', 'finite', 'size', 'scaling', 'as', 'well', 'as', 'critical', 'scaling', 'in', 'the', 'temperaturelike', 'variable', 'or', 'in', 'small', 'external', 'field']] | [-0.15274659659511583, 0.15912026202510135, -0.0671682556291663, 0.07351173478306428, -0.04868520364841133, -0.14413801884789645, 0.07704741627583692, 0.33989390241295364, -0.22079211782532193, -0.3396231323085, 0.1275860581781913, -0.26477100796568975, -0.10524365184952265, 0.18975939856125124, -0.02806462551491846, 0.05150238940475789, -0.011640881682721387, 0.12142442469897194, -0.03298193271337819, -0.19905803405547895, 0.36433684472118266, 0.050147159890461285, 0.32686736455302584, -0.0004655779421791039, 0.13497954353265695, 0.061535954786530504, -0.014544248135875812, 0.03905757572151622, -0.06420264846421994, 0.05697472063016839, 0.16045250513414316, 0.09093441089730611, 0.268836733942802, -0.3886710958312208, -0.21873984718051392, 0.10661451312902887, 0.1401807822748623, 0.1214786250271991, -0.008885650650342613, -0.24307113445973832, 0.05645242983277524, -0.13396133782457462, -0.1709003120978091, -0.07769823538353748, 0.034283702285956195, 0.07699128130885599, -0.26595901253229354, 0.07220443443650693, 0.11789677153955486, 0.10924868701866507, -0.06664809012225112, -0.09951141900156286, -0.004928481445721953, 0.1647058954664333, 0.0585931942332536, 0.05315810405603915, 0.1974488841452166, -0.18614002959406112, -0.042831604068159265, 0.31051206886273836, -0.06956855363039448, -0.1859994460169259, 0.1995959647362475, -0.17772520194242222, -0.10951939712698876, 0.11332148856244388, 0.09881478869067752, 0.06076385601418787, -0.13775307263157008, 0.10159431184761523, -0.02109648677957269, 0.18465908765468325, 0.030742950185276237, 0.051697577246819185, 0.20952849650953329, 0.10833830162223461, 0.05199338138037551, 0.13272101773295256, -0.04550522809386649, -0.1783597956790663, -0.3469203746778709, -0.12251588174340777, -0.21216228713211396, 0.1011406768967688, -0.15830408207288185, -0.20841789711034955, 0.2962480712253436, 0.192184775461962, 0.21232180913860818, 0.034119446630037464, 0.26725859700215865, 0.1403973239609988, 0.08094194873475132, 0.0878008642085556, 0.21877970352801865, 0.14445466255826825, 0.08204298478703682, -0.21120100781173173, 0.08265789375698145, 0.05254864005940612] |
712.098 | Electron resonant tunneling through InAs/GaAs quantum dots embedded in a
Schottky diode with an AlAs insertion layer | Molecular beam epitaxy is employed to manufacture self-assembled InAs/GaAs
quantum dot Schottky resonant tunneling diodes. By virtue of a thin AlAs
insertion barrier, the thermal current is effectively reduced and electron
resonant tunneling through quantum dots under both forward and reverse biased
conditions is observed at relatively high temperature of 77K. The ground states
of quantum dots are found to be at ~0.19eV below the conduction band of GaAs
matrix. The theoretical computations are in conformity with experimental data.
| cond-mat.mes-hall | molecular beam epitaxy is employed to manufacture selfassembled inasgaas quantum dot schottky resonant tunneling diodes by virtue of a thin alas insertion barrier the thermal current is effectively reduced and electron resonant tunneling through quantum dots under both forward and reverse biased conditions is observed at relatively high temperature of 77k the ground states of quantum dots are found to be at 019ev below the conduction band of gaas matrix the theoretical computations are in conformity with experimental data | [['molecular', 'beam', 'epitaxy', 'is', 'employed', 'to', 'manufacture', 'selfassembled', 'inasgaas', 'quantum', 'dot', 'schottky', 'resonant', 'tunneling', 'diodes', 'by', 'virtue', 'of', 'a', 'thin', 'alas', 'insertion', 'barrier', 'the', 'thermal', 'current', 'is', 'effectively', 'reduced', 'and', 'electron', 'resonant', 'tunneling', 'through', 'quantum', 'dots', 'under', 'both', 'forward', 'and', 'reverse', 'biased', 'conditions', 'is', 'observed', 'at', 'relatively', 'high', 'temperature', 'of', '77k', 'the', 'ground', 'states', 'of', 'quantum', 'dots', 'are', 'found', 'to', 'be', 'at', '019ev', 'below', 'the', 'conduction', 'band', 'of', 'gaas', 'matrix', 'the', 'theoretical', 'computations', 'are', 'in', 'conformity', 'with', 'experimental', 'data']] | [-0.11558246115843455, 0.23489522771575513, -0.012933105278091554, 0.025694961956618592, 0.05708180373319639, -0.2638076292529989, 0.09469916337492087, 0.45426829125827706, -0.2723821699141692, -0.3212107041946206, 0.0036809867388234497, -0.3265804840395084, -0.026857259187799614, 0.25722595984832597, 0.00864475598343863, 0.1069401020082669, 0.029532620838532846, -0.14060065813231257, -0.044732831800595306, -0.16756259458354458, 0.24771579918571007, 0.09435691514488262, 0.31568365374532265, 0.13192003897543494, 0.05505638468849401, -0.021450061100320175, 0.1649773375919232, -0.0348771857485796, -0.12993094702240063, 0.05314323372574738, 0.29071943120410043, -0.13580534365983346, 0.20504146548083577, -0.5308326537219378, -0.1627779692196502, -0.03897200916440059, 0.14743640747828743, 0.14903256595015335, -0.11489195016045602, -0.27612700855407196, 0.09975313218549275, -0.07985780816764021, -0.05696932429997011, -0.005161738506733225, -0.0732821393161057, -0.015845912460906383, -0.2404044701856597, 0.0736706253194895, -0.019618819849804427, 0.03322416644256849, 0.03219987112336243, -0.08775494182601762, -0.049185803410812065, 0.03253152593671798, -0.05635392911240043, 0.006416504366848714, 0.31457315462951857, -0.08994001724819939, -0.16156417113513902, 0.3214184822640024, -0.025803383484554406, -0.09146169393968123, 0.13868190143973783, -0.2359256804264031, -0.0028418592738513, 0.18087099994031283, 0.04144397295581607, 0.07575084141288431, -0.13299723702053037, 0.1240897278692454, 0.04416208716037755, 0.1513182294483368, 0.11666188762785915, 0.09195879332195872, 0.25493552850989193, 0.16027887009131986, 0.02106806573171455, 0.1161252202015394, -0.1361082359097707, -0.09869060173141173, -0.21466067957524687, -0.20025417275535753, -0.24899792826573292, 0.1411454786773389, -0.03730321922063386, -0.18786730212517655, 0.37180627238912844, 0.07589431825647644, 0.1415253933877326, -0.0430349312746563, 0.30749987385784966, 0.17361076690781957, 0.06108186452482373, -0.021654107084032148, 0.2286311303002712, 0.22727588626245657, 0.08878768683513417, -0.2944417769053521, 0.06912117988133851, -0.09331514814104407] |
712.0981 | On separation of variables and completeness of the Bethe ansatz for
quantum gl_N Gaudin model | In this note, we discuss implications of the results obtained in [MTV4]. It
was shown there that eigenvectors of the Bethe algebra of the quantum gl_N
Gaudin model are in a one-to-one correspondence with Fuchsian differential
operators with polynomial kernel. Here, we interpret this fact as a separation
of variables in the gl_N Gaudin model. Having a Fuchsian differential operator
with polynomial kernel, we construct the corresponding eigenvector of the Bethe
algebra. It was shown in [MTV4] that the Bethe algebra has simple spectrum if
the evaluation parameters of the Gaudin model are generic. In that case, our
Bethe ansatz construction produces an eigenbasis of the Bethe algebra.
| math.QA math.AG | in this note we discuss implications of the results obtained in mtv4 it was shown there that eigenvectors of the bethe algebra of the quantum gl_n gaudin model are in a onetoone correspondence with fuchsian differential operators with polynomial kernel here we interpret this fact as a separation of variables in the gl_n gaudin model having a fuchsian differential operator with polynomial kernel we construct the corresponding eigenvector of the bethe algebra it was shown in mtv4 that the bethe algebra has simple spectrum if the evaluation parameters of the gaudin model are generic in that case our bethe ansatz construction produces an eigenbasis of the bethe algebra | [['in', 'this', 'note', 'we', 'discuss', 'implications', 'of', 'the', 'results', 'obtained', 'in', 'mtv4', 'it', 'was', 'shown', 'there', 'that', 'eigenvectors', 'of', 'the', 'bethe', 'algebra', 'of', 'the', 'quantum', 'gl_n', 'gaudin', 'model', 'are', 'in', 'a', 'onetoone', 'correspondence', 'with', 'fuchsian', 'differential', 'operators', 'with', 'polynomial', 'kernel', 'here', 'we', 'interpret', 'this', 'fact', 'as', 'a', 'separation', 'of', 'variables', 'in', 'the', 'gl_n', 'gaudin', 'model', 'having', 'a', 'fuchsian', 'differential', 'operator', 'with', 'polynomial', 'kernel', 'we', 'construct', 'the', 'corresponding', 'eigenvector', 'of', 'the', 'bethe', 'algebra', 'it', 'was', 'shown', 'in', 'mtv4', 'that', 'the', 'bethe', 'algebra', 'has', 'simple', 'spectrum', 'if', 'the', 'evaluation', 'parameters', 'of', 'the', 'gaudin', 'model', 'are', 'generic', 'in', 'that', 'case', 'our', 'bethe', 'ansatz', 'construction', 'produces', 'an', 'eigenbasis', 'of', 'the', 'bethe', 'algebra']] | [-0.15755472781865876, 0.035492021129340294, -0.09599235703079205, 0.059024805086664855, -0.11954503773298678, -0.12113731385665541, -0.07350532480137739, 0.33441751394948027, -0.31994127587608573, -0.20158164340009876, 0.09050330124962372, -0.2723980792973823, -0.21073276206042688, 0.17975718275213368, -0.04624820686437471, 0.027909751190751227, 0.12332582563592367, 0.11931595237890505, -0.18438214040580997, -0.24426170709578074, 0.36929122978142676, 0.03579652379376744, 0.24286329743171217, -0.010997097473591566, 0.1290654902179497, 0.023804523944766877, 0.04742709921787159, -0.08271609076391027, -0.11457322569412151, 0.12389110939638724, 0.3148812032831868, 0.0803646391855096, 0.15024926915835096, -0.3880907155151637, -0.1072032303735504, 0.17257247330128866, 0.19535513685243028, 0.10998589524182158, -0.008318284447392766, -0.25394491438165234, 0.032877682681845606, -0.2616302747595704, -0.1968141299110117, -0.07980489584107725, 0.03502855476273118, -0.023236132213705272, -0.27482442932976586, 0.06695646345000363, 0.0909801669164016, 0.09975057082110138, -0.07593759189289555, -0.13032878696795483, -0.049123004880593214, 0.03379996339702662, -0.009353296026227257, 0.010811578983194986, 0.04166807485129333, -0.07873216856332531, -0.15271648059968115, 0.32414781830255995, -0.023048988093165152, -0.27302075205546505, 0.10400655027478933, -0.17324162096242016, -0.19829243513808217, 0.06052982418815482, 0.04088304693072613, 0.06880108750741577, -0.14317818253986397, 0.21945695106361834, -0.15491191636472237, 0.0831925738075713, 0.03532732496002935, -0.041172044681174295, 0.09862971171420419, 0.08690269000472431, 0.004661164242106507, 0.17669192889819518, 0.04617602025369569, -0.12605671946591926, -0.34876788773064343, -0.1472155829599975, -0.1996943594641843, 0.09432575621923327, -0.15073589863747638, -0.2128066273141468, 0.4223708877568397, 0.16739245519955764, 0.20682805621961378, 0.10037627419070252, 0.16783143539543985, 0.21938666845847554, 0.08740900868093068, 0.07769889161342157, 0.1807990803137281, 0.23845716905867997, 0.021897382972726843, -0.22894910026236243, -0.025071232452250597, 0.21202785902182167] |
712.0982 | Thermodynamics of Peptide Aggregation Processes. An Analysis from
Perspectives of Three Statistical Ensembles | We employ a mesoscopic model for studying aggregation processes of
protein-like hydrophobic-polar heteropolymers. By means of multicanonical Monte
Carlo computer simulations, we find strong indications that peptide aggregation
is a phase separation process, in which the microcanonical entropy exhibits a
convex intruder due to nonnegligible surface effects of the small systems. We
analyze thermodynamic properties of the conformational transitions accompanying
the aggregation process from the multicanonical, canonical, and microcanonical
perspective. It turns out that the microcanonical description is particularly
advantageous as it allows for unraveling details of the phase-separation
transition in the thermodynamic region, where the temperature is not a suitable
external control parameter anymore.
| cond-mat.soft | we employ a mesoscopic model for studying aggregation processes of proteinlike hydrophobicpolar heteropolymers by means of multicanonical monte carlo computer simulations we find strong indications that peptide aggregation is a phase separation process in which the microcanonical entropy exhibits a convex intruder due to nonnegligible surface effects of the small systems we analyze thermodynamic properties of the conformational transitions accompanying the aggregation process from the multicanonical canonical and microcanonical perspective it turns out that the microcanonical description is particularly advantageous as it allows for unraveling details of the phaseseparation transition in the thermodynamic region where the temperature is not a suitable external control parameter anymore | [['we', 'employ', 'a', 'mesoscopic', 'model', 'for', 'studying', 'aggregation', 'processes', 'of', 'proteinlike', 'hydrophobicpolar', 'heteropolymers', 'by', 'means', 'of', 'multicanonical', 'monte', 'carlo', 'computer', 'simulations', 'we', 'find', 'strong', 'indications', 'that', 'peptide', 'aggregation', 'is', 'a', 'phase', 'separation', 'process', 'in', 'which', 'the', 'microcanonical', 'entropy', 'exhibits', 'a', 'convex', 'intruder', 'due', 'to', 'nonnegligible', 'surface', 'effects', 'of', 'the', 'small', 'systems', 'we', 'analyze', 'thermodynamic', 'properties', 'of', 'the', 'conformational', 'transitions', 'accompanying', 'the', 'aggregation', 'process', 'from', 'the', 'multicanonical', 'canonical', 'and', 'microcanonical', 'perspective', 'it', 'turns', 'out', 'that', 'the', 'microcanonical', 'description', 'is', 'particularly', 'advantageous', 'as', 'it', 'allows', 'for', 'unraveling', 'details', 'of', 'the', 'phaseseparation', 'transition', 'in', 'the', 'thermodynamic', 'region', 'where', 'the', 'temperature', 'is', 'not', 'a', 'suitable', 'external', 'control', 'parameter', 'anymore']] | [-0.11274760136341987, 0.17628853501131136, -0.13823987090339263, 0.11439492015540184, -0.005113561766310817, -0.13999685728645306, 0.10398284703315723, 0.36177948862314224, -0.2819617647932665, -0.23068528307513111, 0.026449089377586332, -0.253998610370798, -0.15945196392990293, 0.12576223577904913, 0.028868569120753647, 0.055650307654979685, 0.06756655994935759, -0.0315731531585611, -0.07900440216153151, -0.14534755500166543, 0.2553885155889605, 0.1323996613955214, 0.2825344287213825, 0.0649826891143762, 0.09459556827232951, 0.01453928327897475, 0.038897094418782564, 0.05902255729195618, -0.20956130384847277, 0.01666153978911184, 0.25447508934441776, 0.07910858427307435, 0.25838324654669986, -0.39883517650443884, -0.25572220859605643, 0.13529034981814522, 0.14488397238199555, 0.16747106750429208, -0.048236307226831004, -0.22788400190571945, 0.0325224431740242, -0.16748979379023823, -0.09806250139982217, -0.1650500186452908, -0.00475240381257165, 0.03939127400707158, -0.24284564337160972, 0.1185975386317642, 0.07858724615847071, 0.08298573927687747, -0.04871768703118765, -0.07171323383670478, -0.0480719862594491, 0.08825904064966987, 0.028081771305074825, -0.0017369509785480442, 0.24575120601803063, -0.11530778677690597, -0.07907171821044315, 0.3971123546716713, 0.0024068499826604413, -0.18389150645761262, 0.23031543934762122, -0.10067107147492824, -0.17772706287159096, 0.1723729598912455, 0.08605093106272675, 0.13914426503525604, -0.2054076009163899, 0.10352464938436502, 0.02622809134246338, 0.19322671473381064, -0.010532285630082091, -0.014753056823142938, 0.2240612211016317, 0.2116831011626692, 0.021981044885303294, 0.22750258271449378, -0.09255966056759159, -0.27189419591533287, -0.2702032453824012, -0.18113609126857705, -0.2097600663612996, 0.07243331029271108, -0.11303098908545162, -0.21088735553092278, 0.31121572032127354, 0.1756699612630265, 0.1762683503329754, 0.024196680634105135, 0.24414082303022344, 0.06998201783502563, 0.019407196475991182, 0.01190613160974213, 0.19024801519477652, 0.1276197477576456, 0.09676428955225717, -0.2885016317346266, 0.09673444524496085, 0.08352630568801292] |
712.0983 | SUMER-Hinode observations of microflares: excitation of molecular
hydrogen | Concentrations of molecular hydrogen (H2) have been detected by SUMER in
active region plage. The H2 is excited by O VI line emission at 1031.94 A
which, although not observed, must be brightening along with the observed
transition region line, Si III 1113.24 A. We have made co-ordinated
observations of active region plage with the spectrometer SUMER/SoHO in lines
of H2 1119.10 A and Si III 1113.24 A and with XRT/Hinode X-ray and SOT/Hinode
Ca II filters. In six hours of observation, six of the seven H2 events seen
occurred near a footpoint of a brightening X-ray loop. The seventh is
associated with an unusually strong Si III plasma outflow. We conclude that
microflare energy dissipation heats the chromosphere, reducing its opacity, so
that O VI microflare emission is able to reach the lower layers of the
chromosphere and excite the H2.
| astro-ph | concentrations of molecular hydrogen h2 have been detected by sumer in active region plage the h2 is excited by o vi line emission at 103194 a which although not observed must be brightening along with the observed transition region line si iii 111324 a we have made coordinated observations of active region plage with the spectrometer sumersoho in lines of h2 111910 a and si iii 111324 a and with xrthinode xray and sothinode ca ii filters in six hours of observation six of the seven h2 events seen occurred near a footpoint of a brightening xray loop the seventh is associated with an unusually strong si iii plasma outflow we conclude that microflare energy dissipation heats the chromosphere reducing its opacity so that o vi microflare emission is able to reach the lower layers of the chromosphere and excite the h2 | [['concentrations', 'of', 'molecular', 'hydrogen', 'h2', 'have', 'been', 'detected', 'by', 'sumer', 'in', 'active', 'region', 'plage', 'the', 'h2', 'is', 'excited', 'by', 'o', 'vi', 'line', 'emission', 'at', '103194', 'a', 'which', 'although', 'not', 'observed', 'must', 'be', 'brightening', 'along', 'with', 'the', 'observed', 'transition', 'region', 'line', 'si', 'iii', '111324', 'a', 'we', 'have', 'made', 'coordinated', 'observations', 'of', 'active', 'region', 'plage', 'with', 'the', 'spectrometer', 'sumersoho', 'in', 'lines', 'of', 'h2', '111910', 'a', 'and', 'si', 'iii', '111324', 'a', 'and', 'with', 'xrthinode', 'xray', 'and', 'sothinode', 'ca', 'ii', 'filters', 'in', 'six', 'hours', 'of', 'observation', 'six', 'of', 'the', 'seven', 'h2', 'events', 'seen', 'occurred', 'near', 'a', 'footpoint', 'of', 'a', 'brightening', 'xray', 'loop', 'the', 'seventh', 'is', 'associated', 'with', 'an', 'unusually', 'strong', 'si', 'iii', 'plasma', 'outflow', 'we', 'conclude', 'that', 'microflare', 'energy', 'dissipation', 'heats', 'the', 'chromosphere', 'reducing', 'its', 'opacity', 'so', 'that', 'o', 'vi', 'microflare', 'emission', 'is', 'able', 'to', 'reach', 'the', 'lower', 'layers', 'of', 'the', 'chromosphere', 'and', 'excite', 'the', 'h2']] | [-0.04498804225147688, 0.1539514255685693, 0.08238579857878495, 0.05630017379281935, -0.02480010859384809, -0.1318778814646699, 0.06229481587618373, 0.4890969207483357, -0.15972748007017956, -0.3203097070445833, 0.0827833929283045, -0.30655456435583206, -0.03822089025946469, 0.14668085202034833, 0.019940282165223016, -0.08152304845566834, 0.042125503504750035, -0.07438994859567964, -0.020434397799165352, -0.1840990890117794, 0.23135725634958784, 0.10931850075586766, 0.17802193209670647, 0.020291648899623448, 0.02555583289190047, -0.17351527247692633, -0.06312797893263886, 0.032814699967486274, -0.09674036602297312, 0.09771067866350294, 0.22526145798822297, 0.12464556283658317, 0.20376886963250412, -0.42338050837945734, -0.25338111594454316, -0.006056993344353269, 0.18116109220621487, -0.012102353724860248, -0.01655456046000177, -0.26646157540380955, 0.011496642142183322, -0.10748210756540083, -0.1293684394407572, 0.11413422308733984, 0.07968617692097103, 0.012684499572007579, -0.25383793827537715, 0.055936250292385616, 0.023997877891499386, 0.11804397893306948, -0.10997451659025409, -0.036052173702046275, -0.12405109916057816, 0.04542274946562838, 0.010369861918582541, 0.04476016033035905, 0.21765347251641579, -0.08846561223322498, -0.036373738354692854, 0.349234401282139, -0.10909512036216809, 0.06775563930336764, 0.19154010303284758, -0.2432863762554969, -0.1746561922313497, 0.3452884919293549, 0.07709522832158035, 0.10058683614951788, -0.08346968894297986, 0.03215394075875562, -0.029372575571355614, 0.20216414093485344, 0.07939819939454774, 0.04991605327687348, 0.2586003090119988, 0.05520289067530741, 0.025992719581404675, 0.11178876652907027, -0.3185850009866282, -0.012346902430273485, -0.27286870238637767, -0.17080242390806813, -0.07481530498362322, 0.04783811728797762, -0.04099816003556201, -0.15934194262355458, 0.3201023877726571, 0.05762806918094124, 0.25759854272304883, -0.06405445371764591, 0.2561873833056661, 0.13126148153231412, 0.08830019097312934, 0.15086136651360363, 0.3365053868687212, 0.17671330962195128, 0.21796065867217124, -0.2570406834534167, 0.08451703611332788, 0.05799228169232357] |
712.0984 | Antimatter and Gamma-rays from Dark Matter Annihilation | A brief review of the indirect detection signatures of dark matter is given.
In particular, detection methods of dark matter particle annihilation to
antimatter and gamma-rays are reviewed. With the GLAST satellite soon to be
launched, a crucial window in the energy range of a few GeV up to 300 GeV will
open. The good angular and energy resolution of the instrument means that
structures predicted by cold dark matter models can be searched for. Large,
currently planned ground-based imaging Cherenkov telescope arrays, may further
improve the limits, or discover a signal, if the current understanding of halo
dark matter structure is correct.
| astro-ph hep-ph | a brief review of the indirect detection signatures of dark matter is given in particular detection methods of dark matter particle annihilation to antimatter and gammarays are reviewed with the glast satellite soon to be launched a crucial window in the energy range of a few gev up to 300 gev will open the good angular and energy resolution of the instrument means that structures predicted by cold dark matter models can be searched for large currently planned groundbased imaging cherenkov telescope arrays may further improve the limits or discover a signal if the current understanding of halo dark matter structure is correct | [['a', 'brief', 'review', 'of', 'the', 'indirect', 'detection', 'signatures', 'of', 'dark', 'matter', 'is', 'given', 'in', 'particular', 'detection', 'methods', 'of', 'dark', 'matter', 'particle', 'annihilation', 'to', 'antimatter', 'and', 'gammarays', 'are', 'reviewed', 'with', 'the', 'glast', 'satellite', 'soon', 'to', 'be', 'launched', 'a', 'crucial', 'window', 'in', 'the', 'energy', 'range', 'of', 'a', 'few', 'gev', 'up', 'to', '300', 'gev', 'will', 'open', 'the', 'good', 'angular', 'and', 'energy', 'resolution', 'of', 'the', 'instrument', 'means', 'that', 'structures', 'predicted', 'by', 'cold', 'dark', 'matter', 'models', 'can', 'be', 'searched', 'for', 'large', 'currently', 'planned', 'groundbased', 'imaging', 'cherenkov', 'telescope', 'arrays', 'may', 'further', 'improve', 'the', 'limits', 'or', 'discover', 'a', 'signal', 'if', 'the', 'current', 'understanding', 'of', 'halo', 'dark', 'matter', 'structure', 'is', 'correct']] | [-0.10279731541895759, 0.21319727349610437, -0.09221494840729294, 0.1719547465773643, -0.15307965664898307, -0.09205875726579463, -0.028556244927051576, 0.3556561535766837, -0.23587841275645402, -0.4382985898845115, 0.06913156854892963, -0.28364786876871895, 0.008696809499208065, 0.245764154763395, 0.04001578720268405, 0.03225530950223702, 0.10931568137975861, -0.007705691754275445, -0.025530186633226797, -0.23437464797589025, 0.23438943687880648, 0.1817272985625325, 0.19226512792113337, 0.10521521098296908, 0.08571734756809994, -0.06063251953020475, -0.09142168307477988, -0.05485172774552286, -0.14923485486297156, 0.05641198617143972, 0.28938757229158546, 0.1307748300791944, 0.17864464835752056, -0.40479559122214037, -0.23057188781303833, 0.20140630571913082, 0.14892386469212407, 0.037787438569210685, -0.11569244226947137, -0.3934444079573438, 0.05906522813822749, -0.22088451490023184, -0.1431092195782485, -0.022305641603628988, -0.010879597310157656, 0.02544922962585844, -0.1835949096175417, 0.046233280263479476, -0.04617638970517273, -0.049356745961755155, -0.07847855347253889, -0.10030214498579633, 0.022102131502639538, -0.00017881746747467703, 0.04144727203597143, 0.02998564098464343, 0.20710277918599618, -0.23460441105320906, -0.08721708634289578, 0.42630304146594217, -0.1135105166123113, -0.05692430053050946, 0.1909400132423701, -0.1769925426845484, -0.1442302762241401, 0.16724475507298936, 0.16542717918428113, 0.05432192899865433, -0.15966147342662879, 0.08822583393713694, -0.024902462118386644, 0.22106128795755106, 0.0662788880030507, 0.08396546449964341, 0.3950424102831234, 0.24409257032619155, 0.10591476155191805, 0.019724427349413338, -0.21083267566124067, 0.009812697190655738, -0.30696333402279513, -0.15262449477817322, -0.15610625453347576, 0.02545548224984442, -0.010614349645533084, -0.03908827578088323, 0.3664993026646451, 0.12659427766502807, 0.175411027340779, -0.048014657953934906, 0.34902517534159483, 0.038562897167810535, 0.05741692335317725, 0.011928297561204549, 0.3547435746284075, 0.10964666169760659, 0.11224934129152918, -0.1423550493138146, -0.024735745539870655, -0.057800324201963627] |
712.0985 | 5-move equivalence classes of links and their algebraic invariants | We start a systematic analysis of links up to 5-move equivalence. Our
motivation is to develop tools which later can be used to study skein modules
based on the skein relation being deformation of a 5-move (in an analogous way
as the Kauffman skein module is a deformation of a 2-move, i.e. a crossing
change). Our main tools are Jones and Kauffman polynomials and the fundamental
group of the 2-fold branch cover of S^3 along a link. We use also the fact that
a 5-move is a composition of two rational \pm (2,2)-moves (i.e. \pm 5/2-moves)
and rational moves can be analyzed using the group of Fox colorings and its
non-abelian version, the Burnside group of a link. One curious observation is
that links related by one (2,2)-move are not 5-move equivalent. In particular,
we partially classify (up to 5-moves)
3-braids, pretzel and Montesinos links, and links up to 9 crossings.
| math.GT | we start a systematic analysis of links up to 5move equivalence our motivation is to develop tools which later can be used to study skein modules based on the skein relation being deformation of a 5move in an analogous way as the kauffman skein module is a deformation of a 2move ie a crossing change our main tools are jones and kauffman polynomials and the fundamental group of the 2fold branch cover of s3 along a link we use also the fact that a 5move is a composition of two rational pm 22moves ie pm 52moves and rational moves can be analyzed using the group of fox colorings and its nonabelian version the burnside group of a link one curious observation is that links related by one 22move are not 5move equivalent in particular we partially classify up to 5moves 3braids pretzel and montesinos links and links up to 9 crossings | [['we', 'start', 'a', 'systematic', 'analysis', 'of', 'links', 'up', 'to', '5move', 'equivalence', 'our', 'motivation', 'is', 'to', 'develop', 'tools', 'which', 'later', 'can', 'be', 'used', 'to', 'study', 'skein', 'modules', 'based', 'on', 'the', 'skein', 'relation', 'being', 'deformation', 'of', 'a', '5move', 'in', 'an', 'analogous', 'way', 'as', 'the', 'kauffman', 'skein', 'module', 'is', 'a', 'deformation', 'of', 'a', '2move', 'ie', 'a', 'crossing', 'change', 'our', 'main', 'tools', 'are', 'jones', 'and', 'kauffman', 'polynomials', 'and', 'the', 'fundamental', 'group', 'of', 'the', '2fold', 'branch', 'cover', 'of', 's3', 'along', 'a', 'link', 'we', 'use', 'also', 'the', 'fact', 'that', 'a', '5move', 'is', 'a', 'composition', 'of', 'two', 'rational', 'pm', '22moves', 'ie', 'pm', '52moves', 'and', 'rational', 'moves', 'can', 'be', 'analyzed', 'using', 'the', 'group', 'of', 'fox', 'colorings', 'and', 'its', 'nonabelian', 'version', 'the', 'burnside', 'group', 'of', 'a', 'link', 'one', 'curious', 'observation', 'is', 'that', 'links', 'related', 'by', 'one', '22move', 'are', 'not', '5move', 'equivalent', 'in', 'particular', 'we', 'partially', 'classify', 'up', 'to', '5moves', '3braids', 'pretzel', 'and', 'montesinos', 'links', 'and', 'links', 'up', 'to', '9', 'crossings']] | [-0.19975888612999082, 0.0880746715296457, -0.1407489777185431, 0.06615605436852329, -0.12688697150538433, -0.14989777338652782, 0.058705453894879314, 0.35602121953916266, -0.32602566545821204, -0.3000800654910862, 0.09886124991805433, -0.239564742236749, -0.19423060473820117, 0.19382393191734407, -0.13762704264978584, -0.046156449615397194, 0.04936436405214035, 0.05956601535212504, -0.08133286329892093, -0.2635619929315497, 0.32625414060718977, 0.0017510705423375516, 0.20107586097055152, 0.04307189982416139, 0.06595577336991308, -0.006742563006174687, -0.045579344423707854, -0.0012414326854624262, -0.16671156034255097, 0.15110985732363053, 0.24649154737891552, 0.05157527590907268, 0.15647876084373932, -0.3500597188631966, -0.10682620640448613, 0.1270322241750227, 0.15476473806145258, 0.03253584561075326, 0.009341288846757978, -0.24988718092288464, 0.09572374139440386, -0.21442538529813085, -0.1340698062614474, -0.02592160340003057, 0.024933673199011037, 0.019419154960802463, -0.17936134838167425, -0.007286785666596412, 0.048900438262124174, 0.10093768446846571, 0.02583974452405428, -0.06371024064919019, -0.04674229851273233, 0.16751752524598412, -0.0069504850544035435, 0.07982082869889444, 0.08443541041805014, -0.1340647467160087, -0.1648212936084896, 0.38184471019505434, -0.03166508261905345, -0.19335672971218415, 0.1732645631745483, -0.0854238058051273, -0.2066495704005332, 0.15405713270533167, 0.0580937628800126, 0.0771870785711767, -0.10417916501668116, 0.07561556037837537, -0.126385704863, 0.1192397840380069, 0.10818793054682853, -0.072517908248438, 0.1812168555366105, 0.07934827062664936, 0.06079758599094332, 0.16476060302245546, -0.036254176032754964, -0.04281236341682403, -0.3191223518846378, -0.254717132974853, -0.12661373261713155, 0.08997657821979772, -0.07500945792110056, -0.11995575884165727, 0.42211204272222846, 0.07514302346421635, 0.16280268021055486, 0.12499635848487817, 0.2388735298092847, 0.07264986071234875, 0.10217017353750958, 0.07790768347450927, 0.1490774652218982, 0.2317969364525546, -0.011409093125098168, -0.12395691547115423, 0.01248573595721734, 0.16421238976460562] |
712.0986 | Matter-wave solitons with a periodic, piecewise-constant nonlinearity | Motivated by recent proposals of ``collisionally inhomogeneous''
Bose-Einstein condensates (BECs), which have a spatially modulated scattering
length, we study the existence and stability properties of bright and dark
matter-wave solitons of a BEC characterized by a periodic, piecewise-constant
scattering length. We use a ``stitching'' approach to analytically approximate
the pertinent solutions of the underlying nonlinear Schr\"odinger equation by
matching the wavefunction and its derivatives at the interfaces of the
nonlinearity coefficient. To accurately quantify the stability of bright and
dark solitons, we adapt general tools from the theory of perturbed Hamiltonian
systems. We show that solitons can only exist at the centers of the constant
regions of the piecewise-constant nonlinearity. We find both stable and
unstable configurations for bright solitons and show that all dark solitons are
unstable, with different instability mechanisms that depend on the soliton
location. We corroborate our analytical results with numerical computations.
| nlin.PS cond-mat.other math.DS physics.atom-ph | motivated by recent proposals of collisionally inhomogeneous boseeinstein condensates becs which have a spatially modulated scattering length we study the existence and stability properties of bright and dark matterwave solitons of a bec characterized by a periodic piecewiseconstant scattering length we use a stitching approach to analytically approximate the pertinent solutions of the underlying nonlinear schrodinger equation by matching the wavefunction and its derivatives at the interfaces of the nonlinearity coefficient to accurately quantify the stability of bright and dark solitons we adapt general tools from the theory of perturbed hamiltonian systems we show that solitons can only exist at the centers of the constant regions of the piecewiseconstant nonlinearity we find both stable and unstable configurations for bright solitons and show that all dark solitons are unstable with different instability mechanisms that depend on the soliton location we corroborate our analytical results with numerical computations | [['motivated', 'by', 'recent', 'proposals', 'of', 'collisionally', 'inhomogeneous', 'boseeinstein', 'condensates', 'becs', 'which', 'have', 'a', 'spatially', 'modulated', 'scattering', 'length', 'we', 'study', 'the', 'existence', 'and', 'stability', 'properties', 'of', 'bright', 'and', 'dark', 'matterwave', 'solitons', 'of', 'a', 'bec', 'characterized', 'by', 'a', 'periodic', 'piecewiseconstant', 'scattering', 'length', 'we', 'use', 'a', 'stitching', 'approach', 'to', 'analytically', 'approximate', 'the', 'pertinent', 'solutions', 'of', 'the', 'underlying', 'nonlinear', 'schrodinger', 'equation', 'by', 'matching', 'the', 'wavefunction', 'and', 'its', 'derivatives', 'at', 'the', 'interfaces', 'of', 'the', 'nonlinearity', 'coefficient', 'to', 'accurately', 'quantify', 'the', 'stability', 'of', 'bright', 'and', 'dark', 'solitons', 'we', 'adapt', 'general', 'tools', 'from', 'the', 'theory', 'of', 'perturbed', 'hamiltonian', 'systems', 'we', 'show', 'that', 'solitons', 'can', 'only', 'exist', 'at', 'the', 'centers', 'of', 'the', 'constant', 'regions', 'of', 'the', 'piecewiseconstant', 'nonlinearity', 'we', 'find', 'both', 'stable', 'and', 'unstable', 'configurations', 'for', 'bright', 'solitons', 'and', 'show', 'that', 'all', 'dark', 'solitons', 'are', 'unstable', 'with', 'different', 'instability', 'mechanisms', 'that', 'depend', 'on', 'the', 'soliton', 'location', 'we', 'corroborate', 'our', 'analytical', 'results', 'with', 'numerical', 'computations']] | [-0.17418563784553018, 0.12490846650285825, -0.09733349461688928, 0.08759948983629018, -0.055489771332821416, -0.1438797938474773, -0.018487421965564615, 0.3803219859781739, -0.22773648876288574, -0.2325892459588406, 0.09258322445803309, -0.2780636743577006, -0.15501447424471174, 0.1742615353185301, 0.050863823730638885, 0.07662559092987316, 0.04284123697458473, -0.02491151262074709, -0.030199612157534146, -0.24660708945346613, 0.3800175890026691, -0.016036696872380497, 0.2557433561042385, 0.0492009687690345, 0.0824917660235134, -0.029158035688714622, 0.02006370965263819, -0.022302614869422293, -0.2330546792307434, 0.0954663442090562, 0.1891261041260082, 0.030698364782338478, 0.22817173267695542, -0.45753720826277994, -0.2546486543814017, 0.10017686994899422, 0.1927723327160443, 0.19643140712048068, -0.06539501506182978, -0.3653633994949752, 0.05905729575618489, -0.09430978867569811, -0.2090204921774311, -0.10682761527227927, 0.031237737741321325, 0.12957040017330382, -0.23617942232721523, 0.12094060717826735, 0.04832425413091909, -0.026740827218131865, -0.13067521822673894, -0.005446586285060756, -0.0540397270815447, 0.027048465001639235, 0.03414695257600975, -0.05875363427195188, 0.09979890784159405, -0.16118174136858687, -0.09560076234549642, 0.3546148040650846, -0.12191989629893014, -0.18204720843940564, 0.1858140506306408, -0.09526547093473835, -0.04779441752598608, 0.1692719741450138, 0.15541255452402242, 0.15501527625697423, -0.06536331206993902, 0.05156829484103707, -0.05232559061570935, 0.19038412634646903, 0.13317776553345564, 0.06944347054207992, 0.24692990447152152, 0.14224855106225084, 0.05044317564349749, 0.1273525629131991, -0.05359217998960808, -0.13413025555200875, -0.29201045096851885, -0.06828449584371474, -0.17013428037849013, -0.0047009340774472035, -0.08934075233772913, -0.15903746396740134, 0.40524132258246004, 0.13115738348537825, 0.1861062524856183, 0.003929777631427684, 0.29110286041316, 0.1524991499561472, 0.014291722533191005, 0.0869716350052965, 0.2695316654799047, 0.1455510840862862, 0.08579387337332973, -0.28613368906391695, -0.04318895494192201, 0.03680164075922221] |
712.0987 | On continuous state branching processes: conditioning and
self-similarity | In this paper, for $\alpha\in (1, 2}$ we show that the $\alpha$-stable
continuous-state branching process and the associated process conditioned never
to become extinct are positive self-similar Markov processes. Understanding the
interaction of the Lamperti transformation for continuous-state branching
processes and the Lamperti transformation for positive self-similar Markov
processes permits accessto a number of explicit results concerning the paths of
stable-continuous branching processes and its conditioned version.
| math.PR | in this paper for alphain 1 2 we show that the alphastable continuousstate branching process and the associated process conditioned never to become extinct are positive selfsimilar markov processes understanding the interaction of the lamperti transformation for continuousstate branching processes and the lamperti transformation for positive selfsimilar markov processes permits accessto a number of explicit results concerning the paths of stablecontinuous branching processes and its conditioned version | [['in', 'this', 'paper', 'for', 'alphain', '1', '2', 'we', 'show', 'that', 'the', 'alphastable', 'continuousstate', 'branching', 'process', 'and', 'the', 'associated', 'process', 'conditioned', 'never', 'to', 'become', 'extinct', 'are', 'positive', 'selfsimilar', 'markov', 'processes', 'understanding', 'the', 'interaction', 'of', 'the', 'lamperti', 'transformation', 'for', 'continuousstate', 'branching', 'processes', 'and', 'the', 'lamperti', 'transformation', 'for', 'positive', 'selfsimilar', 'markov', 'processes', 'permits', 'accessto', 'a', 'number', 'of', 'explicit', 'results', 'concerning', 'the', 'paths', 'of', 'stablecontinuous', 'branching', 'processes', 'and', 'its', 'conditioned', 'version']] | [-0.06048116567096888, 0.21575808776900746, -0.07468204663063471, 0.1079056131262265, -0.06768105001403735, -0.11102055596330991, 0.12832852491858202, 0.39305911218890777, -0.3256835627441223, -0.1120186736377386, 0.12887660889492297, -0.26404563275237497, -0.14058656831486868, 0.16061969191695635, -0.007808857339505966, 0.1251819566026545, 0.05209166509314225, 0.015314506438489143, 0.07971101215897271, -0.17695588812661858, 0.3316003893413626, 0.02324016621837822, 0.2273443031662072, -0.009979841485619544, 0.17656517760971419, 0.005076525227811474, -0.10836564702196763, -0.09227285167345634, -0.16751239007896332, 0.025807059441621486, 0.1851232010163725, 0.1239980665823588, 0.2511275059901751, -0.35241507526773674, -0.14335483703762292, 0.22756201789642755, 0.1852668598652459, 0.06607369041213622, -0.00832899331759948, -0.3705407347315206, 0.05630911306406443, -0.13152994072208038, -0.12393255311136063, -0.04286353139636608, 0.12457117082980963, 0.0449038278311491, -0.35601385506586386, 0.08808967683927711, 0.22790944741035885, -0.0027438365639402317, -0.02469673912721471, -0.12945855647468796, -0.03542821067027174, 0.1299830371227402, 0.06866331584662055, -0.0613928585492361, 0.18591294461288133, -0.09120797773894783, -0.22271887751726005, 0.304755858074014, -0.06222915020413124, -0.2399968753927029, 0.20765532422810792, -0.2034081724543984, -0.2732759756465944, 0.19808891904182158, 0.2217106953388653, 0.10870959813205096, -0.18980385487755905, 0.13578851512149692, -0.002374546888929147, 0.05291988376814585, 0.08363953229183188, -0.05924347603980165, 0.09955828406203251, 0.19843128130126458, 0.05177550522180704, 0.1401927061128215, 0.044569483742368625, -0.20757557745449817, -0.3243570462442361, -0.237773965843595, -0.09919120470563379, 0.1690224597087273, -0.14271384072064672, -0.1912240074087794, 0.277968628016802, 0.16857687363830898, 0.25368292920577984, 0.22067873943597077, 0.1400128781938782, 0.1975116622992433, -0.09573887534296284, 0.018270951982301015, 0.06601664200425147, 0.20774187580324135, 0.13973074042453215, -0.15852880376176193, 0.20219526753689235, 0.10442463747727183] |
712.0988 | The IPHAS Catalogue of Halpha Emission Line Sources in the Northern
Galactic Plane | We present a catalogue of point-source Halpha emission line objects selected
from the INT/WFC Photometric H$\alpha$ Survey of the Northern Galactic Plane
(IPHAS). The catalogue covers the magnitude range 13 < r' < 19.5 and includes
northern hemisphere sources in the Galactic latitude range -5 < b < 5 degress.
It is derived from ~1500 square degress worth of imaging data, which represents
80 percent of the final IPHAS survey area. The electronic version of the
catalogue will be updated once the full survey data becomes available. In
total, the present catalogue contains 4853 point sources that exhibit strong
photometric evidence for Halpha emission. We have so far analyzed spectra for
~300 of these sources, confirming more than 95 percent of them as genuine
emission-line stars. A wide range of stellar populations are represented in the
catalogue, including early-type emission line stars, active late-type stars,
interacting binaries, young stellar objects and compact nebulae.
The spatial distribution of catalogue objects shows overdensities near sites
of recent or current star formation, as well as possible evidence for the warp
of the Galactic plane. Photometrically, the incidence of Halpha emission is
bimodally distributed in r'-i'. The blue peak is made up mostly of early-type
emission line stars, whereas the red peak may signal an increasing contribution
from other objects, such as young/active low-mass stars. We have cross-matched
our Halpha-excess catalogue against the emission-line star catalogue of
Kohoutek & Wehmeyer, as well as against sources in SIMBAD. We find that fewer
than 10 per cent of our sources can be matched to known objects of any type.
Thus IPHAS is uncovering an order of magnitude more faint (r' > 13) emission
line objects than were previously known in the Milky Way.
| astro-ph | we present a catalogue of pointsource halpha emission line objects selected from the intwfc photometric halpha survey of the northern galactic plane iphas the catalogue covers the magnitude range 13 r 195 and includes northern hemisphere sources in the galactic latitude range 5 b 5 degress it is derived from 1500 square degress worth of imaging data which represents 80 percent of the final iphas survey area the electronic version of the catalogue will be updated once the full survey data becomes available in total the present catalogue contains 4853 point sources that exhibit strong photometric evidence for halpha emission we have so far analyzed spectra for 300 of these sources confirming more than 95 percent of them as genuine emissionline stars a wide range of stellar populations are represented in the catalogue including earlytype emission line stars active latetype stars interacting binaries young stellar objects and compact nebulae the spatial distribution of catalogue objects shows overdensities near sites of recent or current star formation as well as possible evidence for the warp of the galactic plane photometrically the incidence of halpha emission is bimodally distributed in ri the blue peak is made up mostly of earlytype emission line stars whereas the red peak may signal an increasing contribution from other objects such as youngactive lowmass stars we have crossmatched our halphaexcess catalogue against the emissionline star catalogue of kohoutek wehmeyer as well as against sources in simbad we find that fewer than 10 per cent of our sources can be matched to known objects of any type thus iphas is uncovering an order of magnitude more faint r 13 emission line objects than were previously known in the milky way | [['we', 'present', 'a', 'catalogue', 'of', 'pointsource', 'halpha', 'emission', 'line', 'objects', 'selected', 'from', 'the', 'intwfc', 'photometric', 'halpha', 'survey', 'of', 'the', 'northern', 'galactic', 'plane', 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712.0989 | A maximal inequality for the tail of the bilinear Hardy-Littlewood
function | Let $(X,\mathcal{B}, \mu, T)$ be an ergodic dynamical system on a non-atomic
finite measure space. We assume without loss of generality that $\mu(X)=1.$
Consider the maximal function $\dis R^*:(f, g) \in L^p\times L^q \to R^*(f,
g)(x) = \sup_{n\geq 1} \frac{f(T^nx)g(T^{2n}x)}{n}.$ We obtain the following
maximal inequality. For each $1<p\leq \infty$ there exists a finite constant
$C_p$ such that for each $\lambda >0,$ and nonnegative functions $f\in L^p$ and
$g\in L^1$
\mu\{x: R^*(f,g)(x)>\lambda\} \leq
C_p \bigg(\frac{\|f\|_p\|g\|_1}{\lambda}\bigg)^{1/2}.
We also show that for each $\alpha>2$ the maximal function $R^*(f,g)$ is a.e.
finite for pairs of functions $(f,g)\in (L(\log L)^{2\alpha}, L^1)$.
| math.DS | let xmathcalb mu t be an ergodic dynamical system on a nonatomic finite measure space we assume without loss of generality that mux1 consider the maximal function dis rf g in lptimes lq to rf gx sup_ngeq 1 fracftnxgt2nxn we obtain the following maximal inequality for each 1pleq infty there exists a finite constant c_p such that for each lambda 0 and nonnegative functions fin lp and gin l1 mux rfgxlambda leq c_p biggfracf_pg_1lambdabigg12 we also show that for each alpha2 the maximal function rfg is ae finite for pairs of functions fgin llog l2alpha l1 | [['let', 'xmathcalb', 'mu', 't', 'be', 'an', 'ergodic', 'dynamical', 'system', 'on', 'a', 'nonatomic', 'finite', 'measure', 'space', 'we', 'assume', 'without', 'loss', 'of', 'generality', 'that', 'mux1', 'consider', 'the', 'maximal', 'function', 'dis', 'rf', 'g', 'in', 'lptimes', 'lq', 'to', 'rf', 'gx', 'sup_ngeq', '1', 'fracftnxgt2nxn', 'we', 'obtain', 'the', 'following', 'maximal', 'inequality', 'for', 'each', '1pleq', 'infty', 'there', 'exists', 'a', 'finite', 'constant', 'c_p', 'such', 'that', 'for', 'each', 'lambda', '0', 'and', 'nonnegative', 'functions', 'fin', 'lp', 'and', 'gin', 'l1', 'mux', 'rfgxlambda', 'leq', 'c_p', 'biggfracf_pg_1lambdabigg12', 'we', 'also', 'show', 'that', 'for', 'each', 'alpha2', 'the', 'maximal', 'function', 'rfg', 'is', 'ae', 'finite', 'for', 'pairs', 'of', 'functions', 'fgin', 'llog', 'l2alpha', 'l1']] | [-0.17814891996955418, 0.15123821845934246, -0.030553240354334855, 0.07538461839684042, -0.0526022299005569, -0.22246232935171778, 0.04007073734765467, 0.3854762689493921, -0.3163235400722403, -0.081980400496041, 0.07332149153681593, -0.3269070918955233, -0.05814150751203946, 0.18182052459324832, -0.05311835161663349, 0.04660347077119893, 0.01354562389947798, 0.12746184223341633, -0.09943979434177416, -0.20319586064484293, 0.3148680780001957, -0.13413797528166627, 0.17349450736630545, 0.06503552294958828, 0.13866201336191886, 0.029974875774275024, 0.08268842637619894, -0.0596096503688149, -0.26307185499227553, -0.024149464232639573, 0.2604916336612128, 0.15852940722201628, 0.31877128030780866, -0.27790704685384815, -0.18742582796181997, 0.28082158829530945, 0.1281323029720427, -0.14218203562663606, -0.01329592184249676, -0.1804610749595272, 0.21016049679905258, -0.16657052548480747, -0.1313658379899014, -0.049759069381727146, 0.12215023071748084, 0.0840710146218518, -0.4466625273470645, 0.04929342212721088, 0.12648267880349126, 0.05329320775142506, -0.10434738855869712, -0.19869490595833075, -0.031322875323340944, 0.0643403370378782, -0.024708536695233426, 0.1761236673919484, 0.03619564477981919, -0.029722353230918878, -0.06624658732249847, 0.2862690467002761, -0.14402026361811138, -0.25625631640381785, 0.08947823694704668, -0.24020104674096016, -0.16328637746830835, 0.03396956938946539, 0.09467649369616993, 0.1631046231214777, -0.06269978496003085, 0.23288488974566976, -0.08506532740885513, 0.16820574668236077, 0.08710474783615411, 0.04836211624712197, 0.026794716243191786, 0.03665704885750766, 0.1998737145578438, 0.12490033915990194, -0.006829566668982253, 0.05786346664409275, -0.3978113157917624, -0.14506392740472424, -0.19531980015175499, 0.16708767925308127, -0.17238767945135527, -0.13550434796058614, 0.2564860043551206, 0.03844349745549667, 0.18737714167218655, 0.13655083905905485, 0.19308746609528063, 0.16735432339887862, -0.002667768809023192, 0.12241126970975133, 0.07442242689127021, 0.14439895266727748, 0.02126714697553088, -0.23058260993971286, -0.006058465152897913, 0.1495243847400517] |
712.099 | Off-Diagonal-Long-Range-Order Versus Entanglement | In this short note we discuss the relation between the so-called
Off-Diagonal-Long-Range-Order in many-body interacting quantum systems
introduced by C. N. Yang in Rev. Mod. Phys. {\bf 34}, 694 (1962) and
entanglement. We argue that there is a direct relation between these two
concepts.
| quant-ph | in this short note we discuss the relation between the socalled offdiagonallongrangeorder in manybody interacting quantum systems introduced by c n yang in rev mod phys bf 34 694 1962 and entanglement we argue that there is a direct relation between these two concepts | [['in', 'this', 'short', 'note', 'we', 'discuss', 'the', 'relation', 'between', 'the', 'socalled', 'offdiagonallongrangeorder', 'in', 'manybody', 'interacting', 'quantum', 'systems', 'introduced', 'by', 'c', 'n', 'yang', 'in', 'rev', 'mod', 'phys', 'bf', '34', '694', '1962', 'and', 'entanglement', 'we', 'argue', 'that', 'there', 'is', 'a', 'direct', 'relation', 'between', 'these', 'two', 'concepts']] | [-0.19097424616021189, 0.1753930879693309, -0.0308180811222304, 0.011697868520224636, 0.007410083135420626, -0.13007890760094265, 0.07124237438388677, 0.3149273580427028, -0.1790778357958929, -0.30561571166088636, -0.07277062513854947, -0.2925113277636807, -0.2602286531579342, 0.173575123264031, -0.11268188554624264, 0.0008332425707273862, -0.020241992093030025, -0.03256507675078782, -0.11276379233459011, -0.2605086464265531, 0.22764564026147127, -0.024630681931739673, 0.24370627422732385, 0.09504144901240413, 0.05935999456877736, 0.08039941655641253, -0.03824233564294197, -0.013124937784265388, -0.21239452860506638, 0.07869031239004637, 0.27567019482905214, 0.11210613092407584, 0.2541931074281985, -0.38702642396939074, -0.14645921254784547, 0.12899743956090373, 0.06941261428238993, 0.08968738504600796, 0.022850615543905984, -0.33035971804267983, 0.059283054439054635, -0.2613771587864242, -0.07686448506799272, -0.047693697375838055, 0.2117541632707633, -0.0228758659848774, -0.1943221296480095, 0.1812992408707611, 0.1125679113267159, 0.1073053724725138, 0.04552928618663414, -0.03229539780030874, 0.04284245456272567, 5.734872750260613e-05, -0.05105813227022405, 0.07242834187028083, -0.004251532769888978, -0.0614059263554571, -0.14455743413418531, 0.32592852684584533, -0.05424995644716546, -0.1461582774698565, 0.27871558734808455, -0.09513990385246208, -0.18184668105095625, -0.02365622604900802, 0.07220288934397766, 0.08864438948644833, -0.14812797142870046, 0.16997099350158928, -0.10297417854466899, 0.15927023698829793, 0.10609211539849639, 0.036427064978686925, 0.19366467925614084, 0.06633773681030354, -0.05885782002852383, 0.10997364805503325, -0.06690906699408185, -0.1282165167133578, -0.3546516457995908, -0.21800744453106413, -0.2047238680957393, 0.11626614759337496, 0.02715385093886818, -0.047220786652443086, 0.3051564138467339, 0.1833989247256382, 0.22051924443803728, 0.012090688370252874, 0.12413891725009307, 0.09242736601101403, -0.05646510149976662, 0.19074399873021652, 0.2829120559617877, 0.2015286426070485, 0.0814990634098649, -0.2253927549622445, -0.11160902431319383, 0.13348283832469446] |
712.0991 | Spin-droplets in confined quantum Hall systems | Two-dimensional semiconductor quantum dots are studied in the the
filling-factor range 2<v<3. We find both theoretical and experimental evidence
of a collective many-body phenomenon, where a fraction of the trapped electrons
form an incompressible spin-droplet on the highest occupied Landau level. The
phenomenon occurs only when the number of electrons in the quantum dot is
larger than ~30. We find the onset of the spin-droplet regime at v=5/2. This
proposes a finite-geometry alternative to the Moore-Read-type Pfaffian state of
the bulk two-dimensional electron gas. Hence, the spin-droplet formation may be
related to the observed fragility of the v=5/2 quantum Hall state in narrow
quantum point contacts.
| cond-mat.str-el cond-mat.mes-hall | twodimensional semiconductor quantum dots are studied in the the fillingfactor range 2v3 we find both theoretical and experimental evidence of a collective manybody phenomenon where a fraction of the trapped electrons form an incompressible spindroplet on the highest occupied landau level the phenomenon occurs only when the number of electrons in the quantum dot is larger than 30 we find the onset of the spindroplet regime at v52 this proposes a finitegeometry alternative to the moorereadtype pfaffian state of the bulk twodimensional electron gas hence the spindroplet formation may be related to the observed fragility of the v52 quantum hall state in narrow quantum point contacts | [['twodimensional', 'semiconductor', 'quantum', 'dots', 'are', 'studied', 'in', 'the', 'the', 'fillingfactor', 'range', '2v3', 'we', 'find', 'both', 'theoretical', 'and', 'experimental', 'evidence', 'of', 'a', 'collective', 'manybody', 'phenomenon', 'where', 'a', 'fraction', 'of', 'the', 'trapped', 'electrons', 'form', 'an', 'incompressible', 'spindroplet', 'on', 'the', 'highest', 'occupied', 'landau', 'level', 'the', 'phenomenon', 'occurs', 'only', 'when', 'the', 'number', 'of', 'electrons', 'in', 'the', 'quantum', 'dot', 'is', 'larger', 'than', '30', 'we', 'find', 'the', 'onset', 'of', 'the', 'spindroplet', 'regime', 'at', 'v52', 'this', 'proposes', 'a', 'finitegeometry', 'alternative', 'to', 'the', 'moorereadtype', 'pfaffian', 'state', 'of', 'the', 'bulk', 'twodimensional', 'electron', 'gas', 'hence', 'the', 'spindroplet', 'formation', 'may', 'be', 'related', 'to', 'the', 'observed', 'fragility', 'of', 'the', 'v52', 'quantum', 'hall', 'state', 'in', 'narrow', 'quantum', 'point', 'contacts']] | [-0.15658180303114366, 0.23903396996588658, -0.03210520327941162, 0.050142969597058676, 0.027141091809381995, -0.13451442737765248, 0.060668040871692516, 0.2995156569822321, -0.23553623486925096, -0.2763447277790424, -0.0047816847331225145, -0.3039611658732434, -0.10074033317138052, 0.17613113283188742, 0.017066919523996565, 0.03485064657893285, 0.002169003418547291, 0.0024377087999171423, -0.06327368814986452, -0.2063376316710294, 0.2717653437115216, 0.03925613379072018, 0.30119248210154115, 0.08898151488816455, 0.05567601061814908, -0.029142897214415004, 0.10169612451736788, 0.0010281013578031827, -0.16578314313212933, 0.04196887285204478, 0.2575174189484633, -0.06181400317644465, 0.27320383714276897, -0.4388437371190131, -0.17530422432357173, 0.046263971379551204, 0.16958453361107742, 0.15590190742101556, -0.061076924451502514, -0.2834335373696482, 0.03496605537614776, -0.17503504276510726, -0.13049026084973395, 0.001420682535769002, 0.00030877796065026115, -0.053981887814091536, -0.2044029687599107, 0.13809873101310532, 0.05398730699479291, 0.04171845246359561, -0.05480286065778397, -0.07946603710862618, -0.018401872533943178, 0.06026355843924357, -0.02281494790154681, 0.026337054457788996, 0.16770065524298877, -0.1835164929614497, -0.1138652700080889, 0.38094085624025575, -0.02251944090852862, -0.1300557090692308, 0.19945097210572907, -0.2345676463621768, -0.07354542971091363, 0.16647008994539964, 0.107469192565898, 0.0744787846529151, -0.07397395106627565, 0.06859830496052859, -0.06557888045762349, 0.14256016135320873, 0.01358346276220332, 0.0927551182267229, 0.2595561633374795, 0.1631161945496767, 0.02983317866885257, 0.13788698666878224, -0.14880727141761013, -0.14738746531741712, -0.25834626906655406, -0.2139393739420378, -0.2319413844939068, 0.12126364663369882, -0.038425112061639934, -0.18300072394438016, 0.3898829328703233, 0.11228108511066734, 0.1957836338110919, -0.051432872844353605, 0.22843225926016142, 0.1669751379799405, 0.01215470464362139, 0.06667481653744951, 0.26256864144041847, 0.13504908336507318, 0.064732116492221, -0.28654559642456257, 0.044638354234053816, 0.015724544784108414] |
712.0992 | Indications for sharp continuous phase transitions at finite
temperatures connected with the apparent metal-insulator transition in
two-dimensional disordered systems | In a recent experiment, Lai et al. [Phys. Rev. B 75, 033314 (2007)] studied
the apparent metal-insulator transition (MIT) of a Si quantum well structure
tuning the charge carrier concentration $n$. They observed linear temperature
dependences of the conductivity $\sigma(T,n)$ around the Fermi temperature and
found that the corresponding $T \to 0$ extrapolation $\sigma_0(n)$ exhibits a
sharp bend just at the MIT. Here, reconsidering the data published by Lai et
al., it is shown that this sharp bend is related to a peculiarity of
$\sigma(T=const.,n)$ clearly detectable in the whole $T$ range up to 4 K, the
highest measuring temperature in that work. Since this peculiarity seems not to
be smoothed out with increasing $T$ it may indicate a sharp continuous phase
transition between the regions of apparent metallic and activated conduction to
be present at finite temperature. Hints from the literature of such a behavior
are discussed. Finally, a scaling analysis illuminates similarities to previous
experiments and provides understanding of the shape of the peculiarity and of
sharp peaks found in $d log_{10} \sigma / d n (n)$.
| cond-mat.str-el cond-mat.dis-nn | in a recent experiment lai et al phys rev b 75 033314 2007 studied the apparent metalinsulator transition mit of a si quantum well structure tuning the charge carrier concentration n they observed linear temperature dependences of the conductivity sigmatn around the fermi temperature and found that the corresponding t to 0 extrapolation sigma_0n exhibits a sharp bend just at the mit here reconsidering the data published by lai et al it is shown that this sharp bend is related to a peculiarity of sigmatconstn clearly detectable in the whole t range up to 4 k the highest measuring temperature in that work since this peculiarity seems not to be smoothed out with increasing t it may indicate a sharp continuous phase transition between the regions of apparent metallic and activated conduction to be present at finite temperature hints from the literature of such a behavior are discussed finally a scaling analysis illuminates similarities to previous experiments and provides understanding of the shape of the peculiarity and of sharp peaks found in d log_10 sigma d n n | [['in', 'a', 'recent', 'experiment', 'lai', 'et', 'al', 'phys', 'rev', 'b', '75', '033314', '2007', 'studied', 'the', 'apparent', 'metalinsulator', 'transition', 'mit', 'of', 'a', 'si', 'quantum', 'well', 'structure', 'tuning', 'the', 'charge', 'carrier', 'concentration', 'n', 'they', 'observed', 'linear', 'temperature', 'dependences', 'of', 'the', 'conductivity', 'sigmatn', 'around', 'the', 'fermi', 'temperature', 'and', 'found', 'that', 'the', 'corresponding', 't', 'to', '0', 'extrapolation', 'sigma_0n', 'exhibits', 'a', 'sharp', 'bend', 'just', 'at', 'the', 'mit', 'here', 'reconsidering', 'the', 'data', 'published', 'by', 'lai', 'et', 'al', 'it', 'is', 'shown', 'that', 'this', 'sharp', 'bend', 'is', 'related', 'to', 'a', 'peculiarity', 'of', 'sigmatconstn', 'clearly', 'detectable', 'in', 'the', 'whole', 't', 'range', 'up', 'to', '4', 'k', 'the', 'highest', 'measuring', 'temperature', 'in', 'that', 'work', 'since', 'this', 'peculiarity', 'seems', 'not', 'to', 'be', 'smoothed', 'out', 'with', 'increasing', 't', 'it', 'may', 'indicate', 'a', 'sharp', 'continuous', 'phase', 'transition', 'between', 'the', 'regions', 'of', 'apparent', 'metallic', 'and', 'activated', 'conduction', 'to', 'be', 'present', 'at', 'finite', 'temperature', 'hints', 'from', 'the', 'literature', 'of', 'such', 'a', 'behavior', 'are', 'discussed', 'finally', 'a', 'scaling', 'analysis', 'illuminates', 'similarities', 'to', 'previous', 'experiments', 'and', 'provides', 'understanding', 'of', 'the', 'shape', 'of', 'the', 'peculiarity', 'and', 'of', 'sharp', 'peaks', 'found', 'in', 'd', 'log_10', 'sigma', 'd', 'n', 'n']] | [-0.0863127794589049, 0.17181082869547287, -0.0671732894530786, -0.008558934495917388, -0.046746885836390514, -0.15640772043860385, 0.10127300617684211, 0.3502473888865539, -0.22004421886854938, -0.3443039256014994, 0.008612787380282368, -0.31422251215204594, -0.14872103046492807, 0.15958540448253708, -0.039389600908117633, 0.02172750603262102, -0.034180008129083686, 0.00475842313308801, -0.10546398971994807, -0.22976954249798187, 0.20703049264049955, 0.08481416987986969, 0.2835417747783608, 0.11549319497775286, 0.014100822769770665, -0.05275936898110168, -0.0018511051604790346, 0.045070367096258064, -0.18407311473977253, -0.004065279087850026, 0.26098407547122665, 0.0017283581889101438, 0.2149750038702041, -0.33302769059581416, -0.240351796103974, 0.055338113411728826, 0.11872891624325088, 0.07357381334262235, -0.03475706350590502, -0.2729730436950922, 0.0532540160510689, -0.10374241522114191, -0.15699144543547716, -0.025859224511576552, 0.11386712138141905, -0.03236713700927794, -0.2562705355127608, 0.1466015051877392, 0.10795909458039595, 0.06913192375296993, -0.03494390612667692, -0.1408939660353852, -0.04517076623359961, 0.03974898817017675, 0.013032055680773088, 0.08816978963491108, 0.1193106554634869, -0.06649594321980008, -0.06269504477585933, 0.30912726444857463, -0.07262314174490582, -0.034303258122610196, 0.2209572795818427, -0.2261556958390533, -0.10685861393144089, 0.15662151192980153, 0.09064778726814049, 0.09608005318923721, -0.12208964521364708, 0.10562239336781204, -0.041621447020609464, 0.17384583170658777, 0.1084995177734111, -0.010626155759340951, 0.19713501298001834, 0.1422469894774258, -0.0011420635666166033, 0.10264196569499161, -0.09407562721653709, -0.05683279918307172, -0.2916049656697682, -0.13143091991277678, -0.20230107221286744, 0.06268623791177691, -0.05586554293886625, -0.14573505543355297, 0.35349931338003704, 0.1494121621668871, 0.3013154449899282, -0.015596339421878968, 0.18622801822743246, 0.10707188111862966, 0.0451088135732737, 0.11816035845982177, 0.25329034937944794, 0.15637426559015044, 0.16967229582369328, -0.27090943292182473, 0.060988934668712316, 0.010051095219595092] |
712.0993 | The Poincar\'e recurrence time for the de Sitter space with dynamical
chaos | For an ordinary thermodynamical system the Poincar\'{e} recurrence time is
exponentially large in the Boltzmann entropy of the system. It turns out, that
for a system with dynamical chaos it is determined by the Kolmogorov-Sinai
entropy and can be considerably shorter. It is shown in this note that for the
de Sitter space with strong mixing properties the mean recurrence time is equal
to the inverse Hubble constant. This means that our universe can have a finite
lifetime bounded by the current age of the universe. After this time, the
universe should recycle itself and this process has neither a beginning nor an
end.
| gr-qc | for an ordinary thermodynamical system the poincare recurrence time is exponentially large in the boltzmann entropy of the system it turns out that for a system with dynamical chaos it is determined by the kolmogorovsinai entropy and can be considerably shorter it is shown in this note that for the de sitter space with strong mixing properties the mean recurrence time is equal to the inverse hubble constant this means that our universe can have a finite lifetime bounded by the current age of the universe after this time the universe should recycle itself and this process has neither a beginning nor an end | [['for', 'an', 'ordinary', 'thermodynamical', 'system', 'the', 'poincare', 'recurrence', 'time', 'is', 'exponentially', 'large', 'in', 'the', 'boltzmann', 'entropy', 'of', 'the', 'system', 'it', 'turns', 'out', 'that', 'for', 'a', 'system', 'with', 'dynamical', 'chaos', 'it', 'is', 'determined', 'by', 'the', 'kolmogorovsinai', 'entropy', 'and', 'can', 'be', 'considerably', 'shorter', 'it', 'is', 'shown', 'in', 'this', 'note', 'that', 'for', 'the', 'de', 'sitter', 'space', 'with', 'strong', 'mixing', 'properties', 'the', 'mean', 'recurrence', 'time', 'is', 'equal', 'to', 'the', 'inverse', 'hubble', 'constant', 'this', 'means', 'that', 'our', 'universe', 'can', 'have', 'a', 'finite', 'lifetime', 'bounded', 'by', 'the', 'current', 'age', 'of', 'the', 'universe', 'after', 'this', 'time', 'the', 'universe', 'should', 'recycle', 'itself', 'and', 'this', 'process', 'has', 'neither', 'a', 'beginning', 'nor', 'an', 'end']] | [-0.13226690201358557, 0.20505901054695222, -0.1702342164129592, 0.08637015036452585, -0.043813551122394316, -0.08896099813752628, 0.011992225024956636, 0.3196295096467321, -0.30326362441365534, -0.23335689968930987, 0.14062994812131643, -0.23683107312088117, -0.08733596874830815, 0.19250719668343663, -0.04059239037003583, 0.030954425205261663, 0.04433681964516067, 0.09435885034886618, -0.05779080733191222, -0.3066008528045271, 0.3198054311170171, 0.1220235510621793, 0.23775559052368267, 0.0007901495096470731, 0.10489086288278206, -0.04536214764364278, -0.011079334044972291, 0.04031688059526809, -0.13516083012144428, 0.03042219642800494, 0.18630959497890076, 0.13595481474812215, 0.28769900211885285, -0.3754329041291315, -0.22359763563144952, 0.1591031590852743, 0.1835672936599272, 0.11345351668513523, -0.011727961845910894, -0.26424844876433223, 0.07978611931768963, -0.15686063031674935, -0.1359931793256412, -0.041992594416324906, 0.09889389743329957, -0.04211938032844605, -0.21202975733747456, 0.11226577618016073, 0.07059929045583256, 0.0008119528468411702, -0.055610877367703676, -0.019648437362495594, -0.019540984181311123, 0.08555276830716488, 0.06259159522568762, 0.059122666591205277, 0.08661543635221627, -0.05933943758002268, -0.06581386668124022, 0.34878595939909035, -0.10517708901338316, -0.16958141602355262, 0.17453739698304652, -0.1779294972657226, -0.10099279163673949, 0.13821494428199144, 0.06621602342840141, 0.11901738087628753, -0.17934061476710036, 0.1334277772279725, -0.02623988379043742, 0.21235926557654658, 0.04024597725723512, 0.017953916448347557, 0.226379994285078, 0.15098860586742655, 0.08006705861547604, 0.11208175100238385, -0.00974677752954169, -0.1238267130505007, -0.3166591717252651, -0.21470826611710855, -0.21108812305073327, 0.11247077664568049, -0.13760816382581162, -0.15611120557066618, 0.3422788629899375, 0.11747342233026686, 0.18550817223373228, 0.0945612357956214, 0.26870280921530837, 0.1840606180989058, 0.060593089243271746, 0.08700830595737968, 0.26620104955117524, 0.09581876544801232, 0.15951537434011698, -0.25301414183699167, 0.0987478277932566, 0.0970002833462506] |
712.0994 | First Detection of 12CO (1--0) Emission from Two Narrow-Line Seyfert 1
Galaxies | In order to investigate how the growth of galactic bulges progresses with the
growth of central black holes (BHs), we observed molecular gas (fuel for the
coming star formation) in possibly young active galaxies, narrow-line Seyfert 1
galaxies (NLS1s). We present the results of radio observations of 12CO(1--0)
using the Nobeyama Millimeter Array (with 2--4 kpc spatial resolution) for two
FIR-bright NLS1s, yielding the first detection of their CO emission.
Corresponding molecular--gas masses M(H2) of (1-3) X 109 Msun are the 2nd and
4th largest ones among NLS1s. By estimating dynamical masses and bulge masses
M(bulge) for these two NLS1s using CO channel map and CO line widths, we found
M(H2) amount to 0.13--0.35 of these masses. Taking account the star formation
efficiency (~ 0.1), the increase in M(bulge) in those NLS1s in the near future
(~< 10^{7.5} yr) is expected not to be a huge fraction (1--5% of the
preexisting stars). Bulge growth may have finished before BH growth, or
bulge--BH coevolution may proceed with many, occasional discrete events, where
one coevolution event produces only a small amount of mass growth of BHs and of
bulges. We also discuss the ratios of star-formation rate--to--gas accretion
rate onto BHs, finding that two NLS1s have very small ratios (~ 1) compared
with the M(bulge)/M(BH) ratios found in active and inactive galaxies (~ 700).
This huge difference suggests either the non-overlapped coevolution, long star
formation duration or temporarily high accretion rate during NLS1 phase.
| astro-ph | in order to investigate how the growth of galactic bulges progresses with the growth of central black holes bhs we observed molecular gas fuel for the coming star formation in possibly young active galaxies narrowline seyfert 1 galaxies nls1s we present the results of radio observations of 12co10 using the nobeyama millimeter array with 24 kpc spatial resolution for two firbright nls1s yielding the first detection of their co emission corresponding moleculargas masses mh2 of 13 x 109 msun are the 2nd and 4th largest ones among nls1s by estimating dynamical masses and bulge masses mbulge for these two nls1s using co channel map and co line widths we found mh2 amount to 013035 of these masses taking account the star formation efficiency 01 the increase in mbulge in those nls1s in the near future 1075 yr is expected not to be a huge fraction 15 of the preexisting stars bulge growth may have finished before bh growth or bulgebh coevolution may proceed with many occasional discrete events where one coevolution event produces only a small amount of mass growth of bhs and of bulges we also discuss the ratios of starformation ratetogas accretion rate onto bhs finding that two nls1s have very small ratios 1 compared with the mbulgembh ratios found in active and inactive galaxies 700 this huge difference suggests either the nonoverlapped coevolution long star formation duration or temporarily high accretion rate during nls1 phase | [['in', 'order', 'to', 'investigate', 'how', 'the', 'growth', 'of', 'galactic', 'bulges', 'progresses', 'with', 'the', 'growth', 'of', 'central', 'black', 'holes', 'bhs', 'we', 'observed', 'molecular', 'gas', 'fuel', 'for', 'the', 'coming', 'star', 'formation', 'in', 'possibly', 'young', 'active', 'galaxies', 'narrowline', 'seyfert', '1', 'galaxies', 'nls1s', 'we', 'present', 'the', 'results', 'of', 'radio', 'observations', 'of', '12co10', 'using', 'the', 'nobeyama', 'millimeter', 'array', 'with', '24', 'kpc', 'spatial', 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712.0995 | Reexamining the neutron skin thickness within a density dependent
hadronic model | We calculate the skin thickness, binding energy, surface energy and density
profiles within the Dirac solution of a density dependent hadronic model and
compare with the NL3 parametrization results of the non-linear Wallecka model.
The asymmetry for polarized electron scattering is also obtained using a
partial wave expansion calculation. Results for 208Pb, 40Ca, 48Ca, 66Ni and
90Zr are shown and discussed.
| nucl-th | we calculate the skin thickness binding energy surface energy and density profiles within the dirac solution of a density dependent hadronic model and compare with the nl3 parametrization results of the nonlinear wallecka model the asymmetry for polarized electron scattering is also obtained using a partial wave expansion calculation results for 208pb 40ca 48ca 66ni and 90zr are shown and discussed | [['we', 'calculate', 'the', 'skin', 'thickness', 'binding', 'energy', 'surface', 'energy', 'and', 'density', 'profiles', 'within', 'the', 'dirac', 'solution', 'of', 'a', 'density', 'dependent', 'hadronic', 'model', 'and', 'compare', 'with', 'the', 'nl3', 'parametrization', 'results', 'of', 'the', 'nonlinear', 'wallecka', 'model', 'the', 'asymmetry', 'for', 'polarized', 'electron', 'scattering', 'is', 'also', 'obtained', 'using', 'a', 'partial', 'wave', 'expansion', 'calculation', 'results', 'for', '208pb', '40ca', '48ca', '66ni', 'and', '90zr', 'are', 'shown', 'and', 'discussed']] | [-0.022557180295310293, 0.16277036331593991, -0.08538398309610784, 0.13431573245325126, 0.01466568543886145, -0.09790406203828753, -0.007735928287729621, 0.3610967899362246, -0.15215047718957067, -0.26661370107904075, -0.06704500657506288, -0.35281186127103864, -0.06546437335394634, 0.16010483033799877, 0.13722239820829904, 0.08999084921864171, 0.04667780110224461, 0.020094819883039843, -0.1226687792999049, -0.11464052492907892, 0.3172473144872735, 0.08858591795821363, 0.2876686525531113, 0.18515437212772667, 0.04124975069426, 0.03506850795820356, 0.009759046773736676, -0.004301455058157444, -0.1930940009750581, 0.10156049981402854, 0.2533073180161106, 0.01169818425939108, 0.10468394067138434, -0.44504110344375175, -0.22239211666552972, -0.004273237955446044, 0.11027524546564867, 0.1532352519687265, -0.0873910418090721, -0.29176921226705116, 0.019393629964906723, -0.25369093293944994, -0.1996204023831524, -0.09962647698509196, 0.04462476160066823, 0.11227465517198046, -0.30896558238503835, 0.11480144935533948, -0.08385443035513163, -0.022425323907130708, -0.20478773210973789, -0.24023393915655714, -0.08203626533892626, -0.030105753732883992, 0.08165804848540574, 0.029446535053042074, 0.17238756459361562, -0.1128886773949489, -0.004485543118789792, 0.37800847984229524, -0.06097311709697048, -0.16662588696926833, 0.043369369589102764, -0.15553820354592365, -0.05325907078416397, 0.1634053577319719, 0.1516117401692706, 0.11978930700570345, -0.1340684291285773, 0.09316190572377915, -0.042036293066485084, 0.19195281898913283, 0.11873230759908135, -0.019994897798945508, 0.11619121792415778, 0.21415081294253469, -0.024093950275952618, 0.035194711689837274, -0.1916176514700055, -0.06201500514677415, -0.324201065612336, -0.0723767054073202, -0.14892369538235167, 0.007811551023526893, -0.047006746798191064, -0.11888937940966571, 0.3970580582196514, 0.029406675742939113, 0.176755230811735, 0.0013912114625175794, 0.2912389600028594, 0.17304757564949494, 0.019023987169687947, 0.05004431881631414, 0.2826869267659883, 0.26089242777088656, 0.05148715261990825, -0.3234355069774513, 0.029710919332380094, 0.048263132545010495] |
712.0996 | Formality of DG algebras (after Kaledin) | We provide proper foundations and proofs for the main results of [Ka]. The
results include a flat base change for formality and behavior of formality in
flat families of $A(\infty)$ and DG algebras.
| math.AG math.KT | we provide proper foundations and proofs for the main results of ka the results include a flat base change for formality and behavior of formality in flat families of ainfty and dg algebras | [['we', 'provide', 'proper', 'foundations', 'and', 'proofs', 'for', 'the', 'main', 'results', 'of', 'ka', 'the', 'results', 'include', 'a', 'flat', 'base', 'change', 'for', 'formality', 'and', 'behavior', 'of', 'formality', 'in', 'flat', 'families', 'of', 'ainfty', 'and', 'dg', 'algebras']] | [-0.14277520309251762, -0.046167402838667236, -0.08077327647443974, 0.0758722603716182, -0.11814914152703503, -0.13322488917037845, 0.00296663021612348, 0.40042268733183545, -0.24726777704376163, -0.2260372353872905, 0.11723607947527798, -0.19327445932184206, -0.12434210628271103, 0.2428454484113238, -0.18335959462053847, -0.05777846931508093, 0.09604172171516852, -0.01521488084990503, -0.08972882470962676, -0.21680021929469975, 0.42497055878806295, -0.002279200485314835, 0.24405278429163224, 0.09699377242588636, 0.07634726505387913, 0.004246824251657183, -0.07361653825324593, 0.012737565645665833, -0.21721224766224623, 0.158959527979746, 0.29140375306208927, 0.05674778280610388, 0.2312031750087485, -0.34380538084290246, -0.12213525297402432, 0.06478397820539998, 0.09040260597160368, 0.08068639220613422, -0.04488065486040079, -0.24489918548726675, 0.1588146961717443, -0.16917198185216298, -0.1452579971289996, -0.08748176902758353, 0.08973398437779961, 0.08362533763813024, -0.2260273595086553, 0.01378674308458964, 0.202285312680584, 0.17104547372031392, -0.1340981707132111, -0.12868346341631628, -0.04781863750946341, 0.14624101932470998, 0.02259842132810842, -0.03864918764906399, 0.07214224365342295, -0.07308224831340891, -0.18254234811121767, 0.36278385589971684, -0.07022318622153817, -0.20150674789240866, 0.1880305784218239, -0.1531205726787448, -0.18894916789775545, 0.08544491821279128, 0.07727989472561714, 0.15826319118566584, 0.007850255111627506, 0.16175820184060175, -0.033445805085427834, 0.07584020354305253, 0.11375555161838279, 0.038795325199537205, 0.15116049292864223, 0.13152149381736913, 0.052325292631532204, 0.09336797076023438, 0.02787894843089761, -0.08911744527744525, -0.40277447483756323, -0.23040117856792428, -0.04864555670682228, 0.11723767271773382, -0.11444743326027298, -0.18703528962126284, 0.41969165217244264, 0.10160294254169319, 0.18809660772482553, 0.1401869301599535, 0.2073379670354453, 0.0002467031167312102, 0.045217816971919754, 0.04053089158101515, 0.18958720863994324, 0.2395730543542992, 0.07438583056809324, -0.054013459463462685, -0.03339104874546386, 0.122402109967714] |
712.0997 | On the realization of Symmetries in Quantum Mechanics | The aim of this paper is to give a simple, geometric proof of Wigner's
theorem on the realization of symmetries in quantum mechanics that clarifies
its relation to projective geometry. Although several proofs exist already, it
seems that the relevance of Wigner's theorem is not fully appreciated in
general. It is Wigner's theorem which allows the use of linear realizations of
symmetries and therefore guarantees that, in the end, quantum theory stays a
linear theory. In the present paper, we take a strictly geometrical point of
view in order to prove this theorem. It becomes apparent that Wigner's theorem
is nothing else but a corollary of the fundamental theorem of projective
geometry. In this sense, the proof presented here is simple, transparent and
therefore accessible even to elementary treatments in quantum mechanics.
| quant-ph | the aim of this paper is to give a simple geometric proof of wigners theorem on the realization of symmetries in quantum mechanics that clarifies its relation to projective geometry although several proofs exist already it seems that the relevance of wigners theorem is not fully appreciated in general it is wigners theorem which allows the use of linear realizations of symmetries and therefore guarantees that in the end quantum theory stays a linear theory in the present paper we take a strictly geometrical point of view in order to prove this theorem it becomes apparent that wigners theorem is nothing else but a corollary of the fundamental theorem of projective geometry in this sense the proof presented here is simple transparent and therefore accessible even to elementary treatments in quantum mechanics | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'give', 'a', 'simple', 'geometric', 'proof', 'of', 'wigners', 'theorem', 'on', 'the', 'realization', 'of', 'symmetries', 'in', 'quantum', 'mechanics', 'that', 'clarifies', 'its', 'relation', 'to', 'projective', 'geometry', 'although', 'several', 'proofs', 'exist', 'already', 'it', 'seems', 'that', 'the', 'relevance', 'of', 'wigners', 'theorem', 'is', 'not', 'fully', 'appreciated', 'in', 'general', 'it', 'is', 'wigners', 'theorem', 'which', 'allows', 'the', 'use', 'of', 'linear', 'realizations', 'of', 'symmetries', 'and', 'therefore', 'guarantees', 'that', 'in', 'the', 'end', 'quantum', 'theory', 'stays', 'a', 'linear', 'theory', 'in', 'the', 'present', 'paper', 'we', 'take', 'a', 'strictly', 'geometrical', 'point', 'of', 'view', 'in', 'order', 'to', 'prove', 'this', 'theorem', 'it', 'becomes', 'apparent', 'that', 'wigners', 'theorem', 'is', 'nothing', 'else', 'but', 'a', 'corollary', 'of', 'the', 'fundamental', 'theorem', 'of', 'projective', 'geometry', 'in', 'this', 'sense', 'the', 'proof', 'presented', 'here', 'is', 'simple', 'transparent', 'and', 'therefore', 'accessible', 'even', 'to', 'elementary', 'treatments', 'in', 'quantum', 'mechanics']] | [-0.09705584173427655, 0.10528749523853714, -0.19936210292066928, 0.09813499856196965, -0.10723849901026397, -0.1775168108605695, 0.0528598939999938, 0.30548816670974094, -0.2626429747677211, -0.2208342672269227, 0.07436176841799876, -0.21576709921877904, -0.20893048904756803, 0.19454106707549232, -0.16140730737948394, -0.004107939344425121, 0.018902901231988588, 0.08148016440541003, -0.08346954566535936, -0.24041643785312772, 0.3020945244087753, 0.013495827057340648, 0.27690824705253664, 0.11746500718678969, 0.10345514964622755, 0.05613564323478689, -0.0161869586903997, -0.008038129050736174, -0.12784059227300476, 0.12972445378192898, 0.30685069546047034, 0.11378432380336038, 0.26179031280546705, -0.4083510193282343, -0.16332343575711342, 0.1090744785950378, 0.11471835750677256, 0.17128576761884193, -0.04279945751874369, -0.24191649445812358, 0.08053859654164901, -0.14750315737205022, -0.240633243271573, -0.07450382209076038, 0.010834489317582638, -0.09630473378594175, -0.15460490685478417, 0.08977788777062387, 0.22215574495776585, 0.08231005476872352, 0.009160167155311105, -0.011888441113776273, 0.031306860453420966, 0.05653094302397221, 0.029529283721014068, 0.0006547180484190131, 0.08279838718502133, -0.08432876099444304, -0.12151665265308552, 0.4186858537635117, 0.05374057863567335, -0.22454854676669295, 0.1614261351412896, -0.13638183686204933, -0.18832629133601475, 0.06373995904472064, 0.07984906006216382, 0.1267020948315886, -0.1255776811969664, 0.16807541525552303, -0.11936770927400864, 0.15563066089177455, 0.07727006930949618, 0.07000018921407349, 0.15622927805860387, 0.09465923304775391, 0.08623695815736993, 0.10536296001853108, 0.03228455036349425, -0.16920029786838728, -0.39073515953637206, -0.1997977776495232, -0.21308293645173157, 0.15814638466789885, -0.04930360469183087, -0.18915259927355996, 0.35865881852805614, 0.1540959564559726, 0.15557658057095428, 0.09720431027535321, 0.29189721396136464, 0.11625827418527368, 0.020236202279303336, 0.0178508034335788, 0.2588126279350201, 0.22877604658997647, 0.08657793862970942, -0.09109384682916712, 0.02958845747828794, 0.11767999553403845] |
712.0998 | A Study of the Decays D^0 --> pi^- e^+ nu_e, D^0 --> K^- e^+ nu_e, D^+
--> pi^0 e^+ nu_e, and D^+ --> barK^0 e^+ nu_e | Using 1.8 million DDbar pairs and a neutrino reconstruction technique, we
have studied the decays D^0 -> K^- e^+ nu_e, D^0 -> pi^- e^+ nu_e, D^+ ->
Kbar^0 e^+ nu_e, and D^+ -> pi^0 e^+ nu_e. We find B(D^0 -> pi^- e^+ nu_e) =
0.299(11)(9)%, B(D^+ -> pi^0 e^+ nu_e) = 0.373(22)(13)%, B(D^0 -> K^- e^+ nu_e)
= 3.56(3)(9)%, and B(D^+ -> Kbar^0 e^+ nu_e) = 8.53(13)(23)%. In addition, form
factors are studied through fits to the partial branching fractions obtained in
five q^2 ranges. By combining our results with recent unquenched lattice
calculations, we obtain |Vcd| = 0.217(9)(4)(23) and |Vcs| = 1.015(10)(11)(106).
| hep-ex | using 18 million ddbar pairs and a neutrino reconstruction technique we have studied the decays d0 k e nu_e d0 pi e nu_e d kbar0 e nu_e and d pi0 e nu_e we find bd0 pi e nu_e 0299119 bd pi0 e nu_e 03732213 bd0 k e nu_e 35639 and bd kbar0 e nu_e 8531323 in addition form factors are studied through fits to the partial branching fractions obtained in five q2 ranges by combining our results with recent unquenched lattice calculations we obtain vcd 02179423 and vcs 10151011106 | [['using', '18', 'million', 'ddbar', 'pairs', 'and', 'a', 'neutrino', 'reconstruction', 'technique', 'we', 'have', 'studied', 'the', 'decays', 'd0', 'k', 'e', 'nu_e', 'd0', 'pi', 'e', 'nu_e', 'd', 'kbar0', 'e', 'nu_e', 'and', 'd', 'pi0', 'e', 'nu_e', 'we', 'find', 'bd0', 'pi', 'e', 'nu_e', '0299119', 'bd', 'pi0', 'e', 'nu_e', '03732213', 'bd0', 'k', 'e', 'nu_e', '35639', 'and', 'bd', 'kbar0', 'e', 'nu_e', '8531323', 'in', 'addition', 'form', 'factors', 'are', 'studied', 'through', 'fits', 'to', 'the', 'partial', 'branching', 'fractions', 'obtained', 'in', 'five', 'q2', 'ranges', 'by', 'combining', 'our', 'results', 'with', 'recent', 'unquenched', 'lattice', 'calculations', 'we', 'obtain', 'vcd', '02179423', 'and', 'vcs', '10151011106']] | [-0.10650955256798104, 0.25366118463266285, -0.022183143273217694, 0.08545699649091278, 0.011029001098081824, -0.14001537342223205, 0.18159810126165948, 0.26602973398708163, -0.13805027867645203, -0.19969333242624998, -0.21804181802075445, -0.4437915052597721, -0.004693027408350082, 0.09606557751041171, 0.09848936233070812, 0.08610336903837465, 0.1551495065940842, -0.001647908307079758, -0.05503490868778456, -0.20038321001976284, 0.10767324903004226, -0.006095587181681324, 0.14950726930207262, 0.027468801900492206, -0.08270239369345031, 0.000991358089127711, -0.17718225916004962, -0.12505834792474552, -0.29650008717795745, -0.02399490365669841, 0.27724216677459135, 0.15025334263087384, -0.0360661916700857, -0.2806461964113017, -0.01728870515667257, 0.24363488124661326, 0.14510960251902275, -0.06128967671455549, 0.06276948736714465, -0.4042925351144125, 0.2261198085089702, -0.21956140494218007, -0.014313674918715455, -0.10636411054050161, 0.1824687042861201, -0.1481013494721126, -0.46208853775724057, 0.06463250970201832, -0.0340358017655533, 0.08022111666953909, 0.004518035222731885, -0.4169061507785782, 0.018528544380041284, -0.05002372312204292, 0.10324787137852538, 0.20702427627319203, 0.13086658763599449, -0.031526752143344355, -0.18785187616179297, 0.3681706932561827, -0.08009251773945011, -0.17028883500010816, 0.11259819522854828, -0.2677594954147935, -0.08728578846923829, 0.28961369758915334, 0.1860959308465854, 0.04138011839434815, -0.16345844653967237, 0.24938440992264077, -0.08781674215874989, 0.08913165304554804, 0.18787949835504628, -0.018516021848578628, 0.08375698747667706, 0.1620238824703154, 0.002976195933851635, -0.11087715408870108, -0.21253481234002503, 0.12175727729862999, -0.35941165275844034, -0.0802281663664395, 0.02934956850506188, 0.25021110336473656, 0.005494122151243833, 0.026526144384184762, 0.28503802321973215, -0.09866523596879449, 0.38130336596320075, -0.047040038531468736, 0.2337120489350387, 0.06161789259169295, -0.10538544167952967, 0.07372847669536159, 0.2519976937855106, 0.24568387711076953, 0.1294283003579559, -0.36296625848903896, -0.022076040394105285, 0.024692589860586894] |
712.0999 | On the Ambiguity of Spontaneously Broken Gauge Symmetry | Local gauge symmetries cannot break spontaneously, according to Elitzur's
theorem, but this leaves open the possibility of breaking some global subgroup
of the local gauge symmetry, which is typically the gauge symmetry remaining
after certain (e.g. Coulomb or Landau) gauge choices. We show that in an SU(2)
gauge-Higgs system such symmetries do indeed break spontaneously, but the
location of the breaking in the phase diagram depends on the choice of global
subgroup. The implication is that there is no unique broken gauge symmetry, but
rather many symmetries which break in different places. The problem is to
decide which, if any, of these gauge symmetry breakings is associated with a
transition between physically different, confining and non-confining phases.
Several proposals - Kugo-Ojima, Coulomb, and monopole condensate - are
discussed.
| hep-lat hep-th | local gauge symmetries cannot break spontaneously according to elitzurs theorem but this leaves open the possibility of breaking some global subgroup of the local gauge symmetry which is typically the gauge symmetry remaining after certain eg coulomb or landau gauge choices we show that in an su2 gaugehiggs system such symmetries do indeed break spontaneously but the location of the breaking in the phase diagram depends on the choice of global subgroup the implication is that there is no unique broken gauge symmetry but rather many symmetries which break in different places the problem is to decide which if any of these gauge symmetry breakings is associated with a transition between physically different confining and nonconfining phases several proposals kugoojima coulomb and monopole condensate are discussed | [['local', 'gauge', 'symmetries', 'can', 'not', 'break', 'spontaneously', 'according', 'to', 'elitzurs', 'theorem', 'but', 'this', 'leaves', 'open', 'the', 'possibility', 'of', 'breaking', 'some', 'global', 'subgroup', 'of', 'the', 'local', 'gauge', 'symmetry', 'which', 'is', 'typically', 'the', 'gauge', 'symmetry', 'remaining', 'after', 'certain', 'eg', 'coulomb', 'or', 'landau', 'gauge', 'choices', 'we', 'show', 'that', 'in', 'an', 'su2', 'gaugehiggs', 'system', 'such', 'symmetries', 'do', 'indeed', 'break', 'spontaneously', 'but', 'the', 'location', 'of', 'the', 'breaking', 'in', 'the', 'phase', 'diagram', 'depends', 'on', 'the', 'choice', 'of', 'global', 'subgroup', 'the', 'implication', 'is', 'that', 'there', 'is', 'no', 'unique', 'broken', 'gauge', 'symmetry', 'but', 'rather', 'many', 'symmetries', 'which', 'break', 'in', 'different', 'places', 'the', 'problem', 'is', 'to', 'decide', 'which', 'if', 'any', 'of', 'these', 'gauge', 'symmetry', 'breakings', 'is', 'associated', 'with', 'a', 'transition', 'between', 'physically', 'different', 'confining', 'and', 'nonconfining', 'phases', 'several', 'proposals', 'kugoojima', 'coulomb', 'and', 'monopole', 'condensate', 'are', 'discussed']] | [-0.18882539095613723, 0.24601373991364792, -0.10131316205603987, 0.10576682529360877, -0.13406900121045745, -0.1809614732692854, 0.03718875299435197, 0.3884066013164642, -0.2400642549252416, -0.28535588014518887, 0.09816168770826546, -0.20996795687091163, -0.10801697944246937, 0.029942189019694046, -0.027988867603213063, -0.010919876895316942, -0.0816207476854911, 0.05451110032328412, -0.12744296899461371, -0.24031859504308287, 0.3301247683588386, -0.050247851888673, 0.33348027946002134, 0.07339774521331735, 0.06553548696087894, -0.009152156405341555, 0.056555814179408505, -0.060297579770895386, -0.07006951694536723, -0.006884377049172195, 0.17070475519326786, 0.03170874718518004, 0.161441493016763, -0.43686055328960965, -0.18191580192046605, 0.1764294837168821, 0.17632846080908446, 0.1629125488945833, -0.07415462914197962, -0.3307475490407564, 0.05003168694234974, -0.13260439539687546, -0.17221537213882535, -0.09379395376890898, -0.013216257421666478, -0.09689554140177065, -0.24161706971990926, 0.08457604825210677, 0.06402710335343842, 0.0954738473684681, -0.03294825142315464, -0.0232006787371961, -0.15570147630692585, 0.08354301652944404, 0.17937053046115917, 0.04900879870484194, 0.12824525893299188, -0.19375904969775712, -0.10470465172676179, 0.4831696155327042, 0.03485487505800905, -0.19574031511350998, 0.1979050686230927, -0.1195995413770901, -0.24511746662177555, 0.1266837573544247, 0.040644415830240005, 0.05698626939258648, -0.10675175832657832, 0.16172236898514317, -0.06949495352890826, 0.16806076685293012, 0.07412486637421832, 0.05442105562473816, 0.24883230348799643, 0.07243806532195468, 0.11155383306597616, 0.07925922262269681, 0.031229153484029066, -0.13485678955985922, -0.42359048323192466, -0.08801217253987245, -0.1440341498952095, 0.07486994861724593, -0.09458964178040734, -0.13708897724043667, 0.3960535610374247, 0.13101553666500712, 0.17674092798471802, -0.015147370848196052, 0.16690559303534663, 0.11101228251363936, 0.1332821302467913, 0.034827768804476134, 0.23405166706698213, 0.08382128332796558, -0.010409928759281326, -0.2716080221919504, -0.05715505835255535, 0.12657015118014625] |
712.1 | Research progress of electronic properties of self-assembled
semiconductor quantum dots | Self-assembled semiconductor quantum dot is a new type of artificially
designed and grown function material which exhibits quantum size effect,
quantum interference effect, surface effect, quantum tunneling-Coulumb-blockade
effect and nonlinear optical effect. Due to advantages like less crystal
defects and relatively simpler fabrication technology, that material may be of
important value in future nanoelectronic device researches. In the order of
vertical transport, lateral transport and charge storage, this paper gives a
brief introduction of recent advances in the electronic properties of that
material and an analysis of problems and perspectives.
| cond-mat.mes-hall | selfassembled semiconductor quantum dot is a new type of artificially designed and grown function material which exhibits quantum size effect quantum interference effect surface effect quantum tunnelingcoulumbblockade effect and nonlinear optical effect due to advantages like less crystal defects and relatively simpler fabrication technology that material may be of important value in future nanoelectronic device researches in the order of vertical transport lateral transport and charge storage this paper gives a brief introduction of recent advances in the electronic properties of that material and an analysis of problems and perspectives | [['selfassembled', 'semiconductor', 'quantum', 'dot', 'is', 'a', 'new', 'type', 'of', 'artificially', 'designed', 'and', 'grown', 'function', 'material', 'which', 'exhibits', 'quantum', 'size', 'effect', 'quantum', 'interference', 'effect', 'surface', 'effect', 'quantum', 'tunnelingcoulumbblockade', 'effect', 'and', 'nonlinear', 'optical', 'effect', 'due', 'to', 'advantages', 'like', 'less', 'crystal', 'defects', 'and', 'relatively', 'simpler', 'fabrication', 'technology', 'that', 'material', 'may', 'be', 'of', 'important', 'value', 'in', 'future', 'nanoelectronic', 'device', 'researches', 'in', 'the', 'order', 'of', 'vertical', 'transport', 'lateral', 'transport', 'and', 'charge', 'storage', 'this', 'paper', 'gives', 'a', 'brief', 'introduction', 'of', 'recent', 'advances', 'in', 'the', 'electronic', 'properties', 'of', 'that', 'material', 'and', 'an', 'analysis', 'of', 'problems', 'and', 'perspectives']] | [-0.13774873273122762, 0.16291819090495185, -0.07164091534201014, -0.05043233670241963, -0.09657764007871071, -0.19531320848533612, 0.016504467131433945, 0.37749364294028015, -0.2957388899927394, -0.31810601181716897, 0.06081141882152244, -0.28698656806366496, -0.210180624691623, 0.2590137162046988, -0.054643370054159944, 0.08516187004985686, 0.038409557449893, -0.10890615296162916, -0.08748370426277934, -0.20093193233243367, 0.253427255896098, 0.0984527631662786, 0.3684782316552454, 0.14819052972925012, 0.0590636944084355, -0.0071157473191786344, 0.05932050431147218, 0.047011031528537195, -0.13586486239307377, 0.12223984104623034, 0.23023663611894243, -0.0593728878106294, 0.29567464724120296, -0.5271256034565943, -0.24228459626980378, 0.01954527869506666, 0.13757795247176055, 0.16593039863915549, -0.17638576770557113, -0.24378456099199527, 0.0390475502184048, -0.17552733597387507, -0.11744569746902987, -0.026972504290804434, 0.029680497442068677, -0.01994286821317974, -0.18778872580837794, 0.04861452644743193, 0.07266901035301304, 0.06746338681825384, -0.012997851590952951, -0.10999528005499434, 0.01848540482310097, 0.0721029375648398, -0.020082532912178822, 0.008839581988417031, 0.24001799968039889, -0.1582210772969038, -0.15342296532805214, 0.392466141224912, -0.005325383743470053, -0.13327791872486638, 0.12138531455209968, -0.12905432984986331, -0.06367412856989278, 0.0972947902569359, 0.19359069204499443, 0.07618582975694889, -0.1535936413081677, 0.07450370558176525, 0.06726626169166705, 0.16236371045743817, 0.0048884670014671065, 0.20933427045310146, 0.26489271117855656, 0.23354068440332842, 0.033995716634410526, 0.15330510378129822, -0.11373164022362299, -0.08678571402691723, -0.21263964056675688, -0.23137398266097467, -0.1816387984462166, 0.13250409531422755, -0.049344341123144383, -0.20698028212685263, 0.3980872544637892, 0.1603716400130181, 0.1148287639953196, -0.09516266465391127, 0.2861434928235713, 0.07937855299122715, 0.09228036100282909, -0.02583817299978619, 0.20875469917755868, 0.18276068324673125, 0.14757844562422526, -0.2504431798353038, 0.096887628643334, -0.024198773521092835] |
712.1001 | Analysis based on the Wavelet & Hilbert transforms applied to the full
time series of interbeats, for a triad of failures at the heart | A tetra of sets which elements are time series of interbeats has been
obtained from the databank Physionet-MIT-BIH, corresponding to the following
failures at the humans' heart: Obstructive Sleep Apnea, Congestive Heart
Failure, and Atrial Fibrillation. Those times series has been analyzed
statistically using an already known technique based on the Wavelet and Hilbert
Transforms. That technique has been applied to the time series of interbeats
for 87 patients, in order to find out the dynamics of the heart. The size of
the times series varies around 7 to 24 h. while the kind of wavelet selected
for this study has been any one of: Daubechies, Biortoghonal, and Gaussian. The
analysis has been done for the complet set of scales ranging from: 1-128
heartbeats. Choosing the Biorthogonal wavelet: bior3.1, it is observed: (a)
That the time series hasn't to be cutted in shorter periods, with the purpose
to obtain the collapsing of the data, (b) An analytical, universal behavior of
the data, for the first and second diseases, but not for the third.
| physics.data-an | a tetra of sets which elements are time series of interbeats has been obtained from the databank physionetmitbih corresponding to the following failures at the humans heart obstructive sleep apnea congestive heart failure and atrial fibrillation those times series has been analyzed statistically using an already known technique based on the wavelet and hilbert transforms that technique has been applied to the time series of interbeats for 87 patients in order to find out the dynamics of the heart the size of the times series varies around 7 to 24 h while the kind of wavelet selected for this study has been any one of daubechies biortoghonal and gaussian the analysis has been done for the complet set of scales ranging from 1128 heartbeats choosing the biorthogonal wavelet bior31 it is observed a that the time series hasnt to be cutted in shorter periods with the purpose to obtain the collapsing of the data b an analytical universal behavior of the data for the first and second diseases but not for the third | [['a', 'tetra', 'of', 'sets', 'which', 'elements', 'are', 'time', 'series', 'of', 'interbeats', 'has', 'been', 'obtained', 'from', 'the', 'databank', 'physionetmitbih', 'corresponding', 'to', 'the', 'following', 'failures', 'at', 'the', 'humans', 'heart', 'obstructive', 'sleep', 'apnea', 'congestive', 'heart', 'failure', 'and', 'atrial', 'fibrillation', 'those', 'times', 'series', 'has', 'been', 'analyzed', 'statistically', 'using', 'an', 'already', 'known', 'technique', 'based', 'on', 'the', 'wavelet', 'and', 'hilbert', 'transforms', 'that', 'technique', 'has', 'been', 'applied', 'to', 'the', 'time', 'series', 'of', 'interbeats', 'for', '87', 'patients', 'in', 'order', 'to', 'find', 'out', 'the', 'dynamics', 'of', 'the', 'heart', 'the', 'size', 'of', 'the', 'times', 'series', 'varies', 'around', '7', 'to', '24', 'h', 'while', 'the', 'kind', 'of', 'wavelet', 'selected', 'for', 'this', 'study', 'has', 'been', 'any', 'one', 'of', 'daubechies', 'biortoghonal', 'and', 'gaussian', 'the', 'analysis', 'has', 'been', 'done', 'for', 'the', 'complet', 'set', 'of', 'scales', 'ranging', 'from', '1128', 'heartbeats', 'choosing', 'the', 'biorthogonal', 'wavelet', 'bior31', 'it', 'is', 'observed', 'a', 'that', 'the', 'time', 'series', 'hasnt', 'to', 'be', 'cutted', 'in', 'shorter', 'periods', 'with', 'the', 'purpose', 'to', 'obtain', 'the', 'collapsing', 'of', 'the', 'data', 'b', 'an', 'analytical', 'universal', 'behavior', 'of', 'the', 'data', 'for', 'the', 'first', 'and', 'second', 'diseases', 'but', 'not', 'for', 'the', 'third']] | [-0.08067990065109075, 0.05993353709082697, -0.1280420202991914, 0.033098257071386285, -0.020899941120857756, -0.08035753279677536, 0.018938485577882053, 0.35466002075686065, -0.2429582158844155, -0.24581535920467093, 0.16989311198591736, -0.2862297433313804, -0.11997027352945991, 0.25211749598944944, -0.053132213106174137, 0.08476719674822616, 0.022572680418547916, 0.10405423874540412, -0.03218918465672577, -0.26776265488735523, 0.251293394202647, 0.04909519704917154, 0.2829354919481978, -0.021975765711661564, 0.08947860169314208, -0.026520139011778836, -0.04587707634389692, -0.04143222143413521, -0.09573494816657944, 0.08608585939720183, 0.26988502379635865, 0.13647570659690333, 0.31787377516795173, -0.424751512442592, -0.2167251156614981, 0.11185490900541219, 0.13092270277227352, 0.08065403267497152, 0.00579566522767902, -0.2910045586114031, 0.13823256884205032, -0.14201319561597991, -0.08814795942926577, -0.04976566902260823, 0.09098631197990603, -0.00026047089682746093, -0.26237920427369515, 0.09099559938529483, 0.02549134709883526, 0.11624935896315398, -0.05637990834657103, -0.11314944299050124, -0.0004407155891341797, 0.1754229682419135, 0.07884190502402608, 0.043161043458960456, 0.07564366962592375, -0.059334505625708724, -0.12715118963563118, 0.3656800786728959, -0.02867765689629175, -0.10942092949120574, 0.20191209303518107, -0.17065327309201056, -0.15257776763391154, 0.17635804914072695, 0.15903692907641126, 0.09241972252704113, -0.17511263292939233, 0.02184246257031673, 0.003764732304612646, 0.17432661869574384, 0.106086179240977, -0.020809133598827814, 0.13007689136955664, 0.1726091881955873, -0.013251632682036564, 0.11664213481042197, -0.14460710287045025, -0.04192424966976136, -0.23350304534591465, -0.14606879892792687, -0.19078849496443318, 0.027616861770129397, -0.05781597081334779, -0.14860130788783643, 0.44155832739120504, 0.11184013356084385, 0.18882740687870656, 0.04910492977191952, 0.23339036126699614, 0.12255771037449581, 0.10743728884690755, 0.051129466232686605, 0.20419747692656265, 0.08227009909768891, 0.09827804738650076, -0.19896132724674515, 0.09094174758598478, 0.052853965026562116] |
712.1002 | Phase Transitions in Finite Systems using Information Theory | (abridged) In this paper, we present the issues we consider as essential as
far as the statistical mechanics of finite systems is concerned. In particular,
we emphasis our present understanding of phase transitions in the framework of
information theory. Information theory provides a thermodynamically-consistent
treatment of finite, open, transient and expanding systems which are difficult
problems in approaches using standard statistical ensembles. As an example, we
analyze is the problem of boundary conditions, which in the framework of
information theory must also be treated statistically. We recall that out of
the thermodynamical limit the different ensembles are not equivalent and in
particular they may lead to dramatically different equation of states, in the
region of a first order phase transition. We recall the recent progresses
achieved in the understanding of first-order phase transition in finite
systems: the equivalence between the Yang-Lee theorem and the occurrence of
bimodalities in the intensive ensemble and the presence of inverted curvatures
of the thermodynamic potential of the associated extensive ensemble.
| cond-mat.stat-mech | abridged in this paper we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned in particular we emphasis our present understanding of phase transitions in the framework of information theory information theory provides a thermodynamicallyconsistent treatment of finite open transient and expanding systems which are difficult problems in approaches using standard statistical ensembles as an example we analyze is the problem of boundary conditions which in the framework of information theory must also be treated statistically we recall that out of the thermodynamical limit the different ensembles are not equivalent and in particular they may lead to dramatically different equation of states in the region of a first order phase transition we recall the recent progresses achieved in the understanding of firstorder phase transition in finite systems the equivalence between the yanglee theorem and the occurrence of bimodalities in the intensive ensemble and the presence of inverted curvatures of the thermodynamic potential of the associated extensive ensemble | [['abridged', 'in', 'this', 'paper', 'we', 'present', 'the', 'issues', 'we', 'consider', 'as', 'essential', 'as', 'far', 'as', 'the', 'statistical', 'mechanics', 'of', 'finite', 'systems', 'is', 'concerned', 'in', 'particular', 'we', 'emphasis', 'our', 'present', 'understanding', 'of', 'phase', 'transitions', 'in', 'the', 'framework', 'of', 'information', 'theory', 'information', 'theory', 'provides', 'a', 'thermodynamicallyconsistent', 'treatment', 'of', 'finite', 'open', 'transient', 'and', 'expanding', 'systems', 'which', 'are', 'difficult', 'problems', 'in', 'approaches', 'using', 'standard', 'statistical', 'ensembles', 'as', 'an', 'example', 'we', 'analyze', 'is', 'the', 'problem', 'of', 'boundary', 'conditions', 'which', 'in', 'the', 'framework', 'of', 'information', 'theory', 'must', 'also', 'be', 'treated', 'statistically', 'we', 'recall', 'that', 'out', 'of', 'the', 'thermodynamical', 'limit', 'the', 'different', 'ensembles', 'are', 'not', 'equivalent', 'and', 'in', 'particular', 'they', 'may', 'lead', 'to', 'dramatically', 'different', 'equation', 'of', 'states', 'in', 'the', 'region', 'of', 'a', 'first', 'order', 'phase', 'transition', 'we', 'recall', 'the', 'recent', 'progresses', 'achieved', 'in', 'the', 'understanding', 'of', 'firstorder', 'phase', 'transition', 'in', 'finite', 'systems', 'the', 'equivalence', 'between', 'the', 'yanglee', 'theorem', 'and', 'the', 'occurrence', 'of', 'bimodalities', 'in', 'the', 'intensive', 'ensemble', 'and', 'the', 'presence', 'of', 'inverted', 'curvatures', 'of', 'the', 'thermodynamic', 'potential', 'of', 'the', 'associated', 'extensive', 'ensemble']] | [-0.12172435598548906, 0.12033842643521268, -0.10437917381424053, 0.07287679103284468, 0.016407985516532088, -0.08545278721623661, 0.06367618028012789, 0.3598181994699211, -0.24247065433357134, -0.28285127946214905, 0.12461909744748284, -0.2754967937755107, -0.17471297098189054, 0.14555862642465586, -0.05986291280521938, 0.07745597928030282, 0.048061322140316644, 0.06085366179888888, -0.11342284549658849, -0.19613656645825872, 0.3331220346595531, 0.03760928863726826, 0.28038556743637627, 0.07076379381602697, 0.06699839372647903, -0.024587414558438294, -0.018278238545901264, 0.05847669345276228, -0.13586021698079478, 0.10526683468249604, 0.2688778782900176, 0.11835251508437726, 0.2732164969987584, -0.42661444843937474, -0.23833603183079669, 0.12018984808945601, 0.15400246963892356, 0.13193153605786928, -0.030863745233425534, -0.2699582148736051, 0.04106470457059387, -0.15136908468543495, -0.14213676070682255, -0.07509249120288675, -0.028956338791288883, -0.0032269324804375687, -0.20594286710214632, 0.10702784736314648, 0.10120836728678859, 0.07884761150253106, -0.07005390403960574, -0.08461297827727914, 0.02367427628852023, 0.15471043046395552, 0.027684747538787413, -0.007513618940369686, 0.08701362506856761, -0.1495916637864121, -0.11173436902631748, 0.4111435530926045, -0.05609972064919119, -0.16919665048123303, 0.18843387958666602, -0.12762913615681254, -0.1713186063051942, 0.0799197131902518, 0.18003381061625767, 0.14695041185155153, -0.15145471064284086, 0.08272577073152951, -0.004121826318547085, 0.13130782554921952, 0.01154512277220836, 0.05390155726885255, 0.22469259754625565, 0.17969549289926975, 0.012488574906061572, 0.17535341145535258, -0.04558840078471442, -0.17344267921892545, -0.3245308424966096, -0.15206128222649043, -0.14207321549597454, 0.0354907477727049, -0.06664601380688542, -0.1856442274755787, 0.36812781516872123, 0.20568744209384635, 0.18350810234235734, 0.009933502275878227, 0.2535696540263493, 0.12292169313807691, -0.0002213897441614823, 0.022924301481009067, 0.2588944060626967, 0.15052012246416277, 0.09678592325850244, -0.21341024202866907, 0.03822037863828444, 0.05888491239207965] |
712.1003 | Dynamical synapses causing self-organized criticality in neural networks | We show that a network of spiking neurons exhibits robust self-organized
criticality if the synaptic efficacies follow realistic dynamics. Deriving
analytical expressions for the average coupling strengths and inter-spike
intervals, we demonstrate that networks with dynamical synapses exhibit
critical avalanche dynamics for a wide range of interaction parameters. We
prove that in the thermodynamical limit the network becomes critical for all
large enough coupling parameters. We thereby explain experimental observations
in which cortical neurons show avalanche activity with the total intensity of
firing events being distributed as a power-law.
| cond-mat.stat-mech cond-mat.dis-nn q-bio.NC | we show that a network of spiking neurons exhibits robust selforganized criticality if the synaptic efficacies follow realistic dynamics deriving analytical expressions for the average coupling strengths and interspike intervals we demonstrate that networks with dynamical synapses exhibit critical avalanche dynamics for a wide range of interaction parameters we prove that in the thermodynamical limit the network becomes critical for all large enough coupling parameters we thereby explain experimental observations in which cortical neurons show avalanche activity with the total intensity of firing events being distributed as a powerlaw | [['we', 'show', 'that', 'a', 'network', 'of', 'spiking', 'neurons', 'exhibits', 'robust', 'selforganized', 'criticality', 'if', 'the', 'synaptic', 'efficacies', 'follow', 'realistic', 'dynamics', 'deriving', 'analytical', 'expressions', 'for', 'the', 'average', 'coupling', 'strengths', 'and', 'interspike', 'intervals', 'we', 'demonstrate', 'that', 'networks', 'with', 'dynamical', 'synapses', 'exhibit', 'critical', 'avalanche', 'dynamics', 'for', 'a', 'wide', 'range', 'of', 'interaction', 'parameters', 'we', 'prove', 'that', 'in', 'the', 'thermodynamical', 'limit', 'the', 'network', 'becomes', 'critical', 'for', 'all', 'large', 'enough', 'coupling', 'parameters', 'we', 'thereby', 'explain', 'experimental', 'observations', 'in', 'which', 'cortical', 'neurons', 'show', 'avalanche', 'activity', 'with', 'the', 'total', 'intensity', 'of', 'firing', 'events', 'being', 'distributed', 'as', 'a', 'powerlaw']] | [-0.16703535019409624, 0.1689947277642368, -0.027168739775425933, 0.09226695913821459, 0.016001893958244265, -0.1905689257827556, 0.054817234754583305, 0.4087430513725522, -0.19893740131153484, -0.280034796366196, 0.010917959847288687, -0.24593621116717546, -0.2817013393668981, 0.1787053291748665, -0.01474537904991695, 0.04953282096245316, 0.058923351233092586, 0.033476449162019105, 0.015768954025455906, -0.17033983443685796, 0.24240333305441597, 0.03264600844279434, 0.31047653334654784, 0.025980276646866893, 0.12953725113962475, -0.05934986100385614, 0.06793796495348739, 0.007887938258688101, -0.1319064282369244, 0.04683585843500378, 0.25432063334979893, 0.08753959098935463, 0.25119597674960603, -0.4798729804689797, -0.27737375839581985, 0.11337625587966, 0.15672819003504648, 0.10411669026531824, -0.006915243899742706, -0.2642734731296391, 0.08156279133883922, -0.15729952047924312, -0.08548022407693055, -0.1130356067121866, 0.08999213125305565, 0.14427658850641062, -0.34653200535626894, 0.10223628811308005, 0.04429564938790249, 0.08631657697574309, -0.0677417319508667, -0.02089576411657454, -0.010737916213993946, 0.16262356638175884, 0.015341519915729008, -0.04297355211502087, 0.22567258706693066, -0.17241923757985736, -0.09205898649341772, 0.24741451830467145, -0.05982929243564899, -0.12933354239827127, 0.168804363734769, -0.17121603260381837, -0.1524169710726383, 0.11840722770587112, 0.16939763689094506, 0.003992363161752733, -0.14845618256890958, 0.0007739704346880735, -0.001549369864835498, 0.23058439201670122, 0.016541222364149902, 0.06095962447972361, 0.2029251561740811, 0.25301171217657875, 0.03297239321210746, 0.14338455178638856, -0.11965593786156747, -0.16381546255891746, -0.28443669385977843, -0.03110727308883091, -0.16849813595272894, 0.08273364697174912, -0.19307356124225183, -0.17614530883938745, 0.4591104213692499, 0.2044706046110375, 0.25917078097863644, 0.20378697555894137, 0.19497845744193543, 0.13805118362089683, 0.09373902523199494, 0.10048681540477476, 0.24150729015092837, 0.12512417148087132, 0.1245563906313998, -0.24505757710509254, 0.11424874230235647, -0.015606003750659776] |
712.1004 | On a correspondence principle between discrete differential forms, graph
structure and multi-vector calculus on symmetric lattices | Based on \cite{DH94}, we introduce a bijective correspondence between first
order differential calculi and the graph structure of the symmetric lattice
that allows one to encode completely the interconnection structure of the graph
in the exterior derivative. As a result, we obtain the Grassmannian character
of the lattice as well as the mutual commutativity between basic vector-fields
on the tangent space.
This in turn gives several similarities between the Clifford setting and the
algebra of endomorphisms endowed by the graph structure, such as the hermitian
structure of the lattice as well as the Clifford-like algebra of operators
acting on the lattice. This naturally leads to a discrete version of Clifford
Analysis.
| math.CV hep-lat math-ph math.DG math.MP math.QA | based on citedh94 we introduce a bijective correspondence between first order differential calculi and the graph structure of the symmetric lattice that allows one to encode completely the interconnection structure of the graph in the exterior derivative as a result we obtain the grassmannian character of the lattice as well as the mutual commutativity between basic vectorfields on the tangent space this in turn gives several similarities between the clifford setting and the algebra of endomorphisms endowed by the graph structure such as the hermitian structure of the lattice as well as the cliffordlike algebra of operators acting on the lattice this naturally leads to a discrete version of clifford analysis | [['based', 'on', 'citedh94', 'we', 'introduce', 'a', 'bijective', 'correspondence', 'between', 'first', 'order', 'differential', 'calculi', 'and', 'the', 'graph', 'structure', 'of', 'the', 'symmetric', 'lattice', 'that', 'allows', 'one', 'to', 'encode', 'completely', 'the', 'interconnection', 'structure', 'of', 'the', 'graph', 'in', 'the', 'exterior', 'derivative', 'as', 'a', 'result', 'we', 'obtain', 'the', 'grassmannian', 'character', 'of', 'the', 'lattice', 'as', 'well', 'as', 'the', 'mutual', 'commutativity', 'between', 'basic', 'vectorfields', 'on', 'the', 'tangent', 'space', 'this', 'in', 'turn', 'gives', 'several', 'similarities', 'between', 'the', 'clifford', 'setting', 'and', 'the', 'algebra', 'of', 'endomorphisms', 'endowed', 'by', 'the', 'graph', 'structure', 'such', 'as', 'the', 'hermitian', 'structure', 'of', 'the', 'lattice', 'as', 'well', 'as', 'the', 'cliffordlike', 'algebra', 'of', 'operators', 'acting', 'on', 'the', 'lattice', 'this', 'naturally', 'leads', 'to', 'a', 'discrete', 'version', 'of', 'clifford', 'analysis']] | [-0.14329945666884833, 0.05973322722552852, -0.06940943375758996, 0.04616187864025547, -0.13831943124744364, -0.0674636677288535, 0.006030477978062911, 0.3514024169967425, -0.34815261943096465, -0.24573045958849518, 0.11418063219171018, -0.23653485377501718, -0.21825577696277337, 0.1435131713239984, -0.07661807364784182, 0.009289785377173261, 0.022826923556964505, 0.11989789553494616, -0.13067069253672592, -0.1966084468662633, 0.4143791896375743, 0.030520449070767924, 0.23024155334992844, 0.03673116144068031, 0.13316348843191836, 0.057763788415203715, 0.0009187763260508126, -0.005488467161723582, -0.09635123386377183, 0.1619557151909579, 0.22333879313347013, 0.0749881564004516, 0.18568255513567816, -0.4138342104005543, -0.14037185465408997, 0.1080844906793738, 0.10369392004372044, 0.04473184277594555, -0.000659285482569513, -0.2891103130341931, 0.040643487218767406, -0.17700526920062573, -0.07191952263555405, -0.09514462743589486, 0.007713748548518528, -0.00011991318315267563, -0.22815550800455225, 0.024274256816980512, 0.13101806272752584, 0.099290020018816, -0.05514853149705397, -0.06773367317986081, -0.08843472448008305, 0.1325390559917485, -0.03841971868479794, 0.03202849265865304, 0.07133768562820147, -0.046651997973359276, -0.181507960033857, 0.4199273194779049, -0.05594186253358864, -0.24630915717306462, 0.14039185042281382, -0.14277914827054536, -0.13028848083181815, 0.024839712540531102, 0.1386970159851692, 0.10000440999018875, -0.06755204382140867, 0.1544466676010581, -0.10696010782637379, 0.10106327582933855, 0.08250092981721867, 0.06109547183679586, 0.1478985506194559, 0.12124929914504967, 0.11578245615078644, 0.193834659871804, 0.008050919807812367, -0.14759968057359485, -0.3673263017934832, -0.18280250980434093, -0.1457851085790687, 0.09024454127594998, -0.13505698696429713, -0.2196995604359968, 0.4252081428019499, 0.08695242200893434, 0.2766346275467764, 0.050427500285546885, 0.23065385825043036, 0.08196796940173953, 0.11603548008609901, 0.029847324690358206, 0.14260155839676206, 0.26053521343803204, 0.057731395684690635, -0.1927290838275274, 0.0028802220519124106, 0.19372508309950884] |
712.1005 | Swift Follow-up Observations of INTEGRAL Sources of Unknown Nature | (Abridged) We made use of X-ray observations with the X-ray telescope
on-board the \swift observatory to refine the X-ray position to 3-5" accuracy
of 12 INTEGRAL sources, so as to further identify their counterpart at optical,
infrared, and radio wavelengths, to try to unveil their true nature. We then
searched the online catalogues (e.g. NED, SIMBAD, 2MASS, 2MASX, and NVSS) to
search for counterparts at other wavelengths. For all sources, we give a
refined X-ray position, provide X-ray spectral parameters, identify infrared
counterparts, and give magnitudes at optical and ultra violet wavelengths seen
with UVOT when observations are available. We confirm the nature of six sources
formerly suspected to be AGN (IGR J02343+3229, J13149+4422, J14579-4308,
J16385-2057, J18559+1535, J19378-0617). Our analysis first leads us to suggest
that IGR J09523-6231 and IGR J10147-6354 are AGN. While the former has recently
been confirmed as a Seyfert 1.5 AGN, we suggest the latter is a Seyfert 2. All
other sources may be Galactic sources, in which case their spectral shape may
suggest that they are X-ray binaries. In one case (IGR J19308+0530), the
Galactic nature is confirmed through the identification of an F8 star as the
counterpart. We favour a distance to the source not greater than 1 kpc. The
source is likely to be a neutron star XRB or a CV. We also report the discovery
of six serendipitous sources of unknown nature.
| astro-ph | abridged we made use of xray observations with the xray telescope onboard the swift observatory to refine the xray position to 35 accuracy of 12 integral sources so as to further identify their counterpart at optical infrared and radio wavelengths to try to unveil their true nature we then searched the online catalogues eg ned simbad 2mass 2masx and nvss to search for counterparts at other wavelengths for all sources we give a refined xray position provide xray spectral parameters identify infrared counterparts and give magnitudes at optical and ultra violet wavelengths seen with uvot when observations are available we confirm the nature of six sources formerly suspected to be agn igr j023433229 j131494422 j145794308 j163852057 j185591535 j193780617 our analysis first leads us to suggest that igr j095236231 and igr j101476354 are agn while the former has recently been confirmed as a seyfert 15 agn we suggest the latter is a seyfert 2 all other sources may be galactic sources in which case their spectral shape may suggest that they are xray binaries in one case igr j193080530 the galactic nature is confirmed through the identification of an f8 star as the counterpart we favour a distance to the source not greater than 1 kpc the source is likely to be a neutron star xrb or a cv we also report the discovery of six serendipitous sources of unknown nature | [['abridged', 'we', 'made', 'use', 'of', 'xray', 'observations', 'with', 'the', 'xray', 'telescope', 'onboard', 'the', 'swift', 'observatory', 'to', 'refine', 'the', 'xray', 'position', 'to', '35', 'accuracy', 'of', '12', 'integral', 'sources', 'so', 'as', 'to', 'further', 'identify', 'their', 'counterpart', 'at', 'optical', 'infrared', 'and', 'radio', 'wavelengths', 'to', 'try', 'to', 'unveil', 'their', 'true', 'nature', 'we', 'then', 'searched', 'the', 'online', 'catalogues', 'eg', 'ned', 'simbad', '2mass', '2masx', 'and', 'nvss', 'to', 'search', 'for', 'counterparts', 'at', 'other', 'wavelengths', 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712.1006 | Semiclassical measures and the Schroedinger flow on Riemannian manifolds | In this article we study limits of Wigner distributions (the so-called
semiclassical measures) corresponding to sequences of solutions to the
semiclassical Schroedinger equation at times scales $\alpha_{h}$ tending to
infinity as the semiclassical parameter $h$ tends to zero (when $\alpha
_{h}=1/h$ this is equivalent to consider solutions to the non-semiclassical
Schreodinger equation). Some general results are presented, among which a weak
version of Egorov's theorem that holds in this setting. A complete
characterization is given for the Euclidean space and Zoll manifolds (that is,
manifolds with periodic geodesic flow) via averaging formulae relating the
semiclassical measures corresponding to the evolution to those of the initial
states. The case of the flat torus is also addressed; it is shown that
non-classical behavior may occur when energy concentrates on resonant
frequencies. Moreover, we present an example showing that the semiclassical
measures associated to a sequence of states no longer determines those of their
evolutions. Finally, some results concerning the equation with a potential are
presented.
| math.AP math-ph math.MP math.SP | in this article we study limits of wigner distributions the socalled semiclassical measures corresponding to sequences of solutions to the semiclassical schroedinger equation at times scales alpha_h tending to infinity as the semiclassical parameter h tends to zero when alpha _h1h this is equivalent to consider solutions to the nonsemiclassical schreodinger equation some general results are presented among which a weak version of egorovs theorem that holds in this setting a complete characterization is given for the euclidean space and zoll manifolds that is manifolds with periodic geodesic flow via averaging formulae relating the semiclassical measures corresponding to the evolution to those of the initial states the case of the flat torus is also addressed it is shown that nonclassical behavior may occur when energy concentrates on resonant frequencies moreover we present an example showing that the semiclassical measures associated to a sequence of states no longer determines those of their evolutions finally some results concerning the equation with a potential are presented | [['in', 'this', 'article', 'we', 'study', 'limits', 'of', 'wigner', 'distributions', 'the', 'socalled', 'semiclassical', 'measures', 'corresponding', 'to', 'sequences', 'of', 'solutions', 'to', 'the', 'semiclassical', 'schroedinger', 'equation', 'at', 'times', 'scales', 'alpha_h', 'tending', 'to', 'infinity', 'as', 'the', 'semiclassical', 'parameter', 'h', 'tends', 'to', 'zero', 'when', 'alpha', '_h1h', 'this', 'is', 'equivalent', 'to', 'consider', 'solutions', 'to', 'the', 'nonsemiclassical', 'schreodinger', 'equation', 'some', 'general', 'results', 'are', 'presented', 'among', 'which', 'a', 'weak', 'version', 'of', 'egorovs', 'theorem', 'that', 'holds', 'in', 'this', 'setting', 'a', 'complete', 'characterization', 'is', 'given', 'for', 'the', 'euclidean', 'space', 'and', 'zoll', 'manifolds', 'that', 'is', 'manifolds', 'with', 'periodic', 'geodesic', 'flow', 'via', 'averaging', 'formulae', 'relating', 'the', 'semiclassical', 'measures', 'corresponding', 'to', 'the', 'evolution', 'to', 'those', 'of', 'the', 'initial', 'states', 'the', 'case', 'of', 'the', 'flat', 'torus', 'is', 'also', 'addressed', 'it', 'is', 'shown', 'that', 'nonclassical', 'behavior', 'may', 'occur', 'when', 'energy', 'concentrates', 'on', 'resonant', 'frequencies', 'moreover', 'we', 'present', 'an', 'example', 'showing', 'that', 'the', 'semiclassical', 'measures', 'associated', 'to', 'a', 'sequence', 'of', 'states', 'no', 'longer', 'determines', 'those', 'of', 'their', 'evolutions', 'finally', 'some', 'results', 'concerning', 'the', 'equation', 'with', 'a', 'potential', 'are', 'presented']] | [-0.14644763800301186, 0.12242269596291733, -0.11127515369595063, 0.11573715233330235, -0.05874294301503579, -0.11616927897557616, 0.002509590945807343, 0.34256877601836566, -0.2452994421020978, -0.20521699419937867, 0.10520135455787825, -0.30751381128348043, -0.1298288868015839, 0.2090977381190492, -0.0839092326997262, 0.060813465236864386, 0.07568683210806346, 0.07496679340630057, -0.08751943008507096, -0.21855994908823229, 0.3695358423901331, 0.030791827714657067, 0.2516691507311699, 0.04654177218779094, 0.0744696983821075, -0.016786537547078397, 0.016006700043497538, 0.01894270228836427, -0.20310763969969287, 0.08679579520694349, 0.2238428295707836, 0.08047468319569749, 0.25226077869431013, -0.3798601621945883, -0.1988210731162977, 0.14428319337628323, 0.14155346135332905, 0.12513556505516057, 0.009306327266658851, -0.2862023407820451, 0.09804092318805532, -0.08577716159332474, -0.2207937922190737, -0.06527580255297599, 0.05199141897488224, 0.03289494122217559, -0.23641366598966682, 0.08350942924853708, 0.103607140754545, -0.015197323382268717, -0.10134893999417761, -0.06768954843699496, -0.01924003460616977, 0.0951196402358035, 0.08552409052765457, 0.018388580998699007, 0.06674940487654465, -0.07774098388660976, -0.10316593080103674, 0.36338062549691164, -0.08473594068516517, -0.2609851019669692, 0.1693563058362975, -0.1868673476482523, -0.11955130625700142, 0.10916575296195569, 0.10406990599370113, 0.15056145875312296, -0.12255462513533047, 0.10873813389327641, -0.04581603448102136, 0.11050067690307458, 0.09220165010242734, 0.04901893489906438, 0.12073817889976465, 0.09193248116342281, 0.09845276933197898, 0.14208480561968445, -0.026142260417942948, -0.1479311761342817, -0.35579220528633876, -0.14248202659799086, -0.1767580810011606, 0.12949033953209213, -0.09270228105185792, -0.18780834358066958, 0.367652121324805, 0.10964766092365608, 0.21033970715570044, 0.09661214618370897, 0.2307225617416272, 0.18759996478121016, -0.012551637717815875, 0.0667123226966295, 0.1986895150474106, 0.16990526599297875, 0.07940802313946116, -0.19573566486288643, -0.01505598742917272, 0.09235419258245348] |
712.1007 | Final-state effects in the radio frequency spectrum of strongly
interacting fermions | We model the impact of final state interactions on the radio frequency
spectrum of a strongly interacting two-component superfluid Fermi gas. In
addition to a broad asymmetric peak coming from the break-up of Cooper pairs we
find that, for appropriate parameters, one can observe a sharp symmetric
"bound-bound" spectral line coming from the conversion of Cooper pairs in one
channels to pairs/molecules in another.
| cond-mat.str-el cond-mat.other | we model the impact of final state interactions on the radio frequency spectrum of a strongly interacting twocomponent superfluid fermi gas in addition to a broad asymmetric peak coming from the breakup of cooper pairs we find that for appropriate parameters one can observe a sharp symmetric boundbound spectral line coming from the conversion of cooper pairs in one channels to pairsmolecules in another | [['we', 'model', 'the', 'impact', 'of', 'final', 'state', 'interactions', 'on', 'the', 'radio', 'frequency', 'spectrum', 'of', 'a', 'strongly', 'interacting', 'twocomponent', 'superfluid', 'fermi', 'gas', 'in', 'addition', 'to', 'a', 'broad', 'asymmetric', 'peak', 'coming', 'from', 'the', 'breakup', 'of', 'cooper', 'pairs', 'we', 'find', 'that', 'for', 'appropriate', 'parameters', 'one', 'can', 'observe', 'a', 'sharp', 'symmetric', 'boundbound', 'spectral', 'line', 'coming', 'from', 'the', 'conversion', 'of', 'cooper', 'pairs', 'in', 'one', 'channels', 'to', 'pairsmolecules', 'in', 'another']] | [-0.15803962924964873, 0.17505332185897887, -0.07107222898186938, 0.08364154896624977, -0.03345117919028751, -0.14389539309703406, 0.08803429199190485, 0.3553162525363621, -0.2389434708193654, -0.2441592895174547, -0.042457824297589326, -0.3162907150588811, -0.033081250745684854, 0.1873113497803431, 0.06421514677386435, -0.02774881769622129, 0.03599185205345589, 0.00879525804212169, -0.09596380884463471, -0.1628310549412928, 0.40333144347523414, 0.024780202191323042, 0.2870942166163808, 0.08115507748037104, 0.01559183747315454, 0.0003817211688747482, 0.011287559688623463, -0.052291269680219035, -0.09155534422600231, 0.08302730828937557, 0.22860248270074998, 0.031367997653664104, 0.1753394172659942, -0.3760121415058772, -0.22193746403458395, 0.12412196803571922, 0.16547969129631326, 0.14590773918473768, -0.04017826900928326, -0.28468791315598146, -0.030535732676822042, -0.23784774277240983, -0.1313108540923586, 0.03146797666947047, 0.017712573461707622, 0.04896900204882499, -0.2663886014608637, 0.10685653413926798, 0.07291181662326886, -0.023793418899119373, -0.0715985909429571, -0.0752689973118582, -0.06202404198074152, 0.0653597806092529, -0.006818160046971152, -0.010688642688494707, 0.15039370990993958, -0.17877836454667093, -0.08847944394108795, 0.3671494974710402, -0.1214110158265583, -0.09316525599431424, 0.2217120955712513, -0.18812278370254687, -0.10405064400817667, 0.23022216667849865, 0.19829480219928045, 0.05296674159000672, -0.10701001647468066, -0.0010732624990244706, -0.07039742813342148, 0.17731881943450029, 0.0485028780346352, 0.06325056864732197, 0.2698630121137415, 0.11558007567913996, 0.031089033325394942, 0.17977677066884343, -0.1627149310310386, -0.09444268831303196, -0.2892825390463547, -0.10678713541063997, -0.17143414066069657, 0.05038765918404337, 0.01957281848179206, -0.14164065460245762, 0.44538162787637064, 0.0940656008804956, 0.286765824352938, -0.04929729014827264, 0.2656490459210343, 0.11792009674190056, 0.05422231266718535, 0.03194236870677698, 0.2730838197120835, 0.1388389335886117, 0.07206781751786669, -0.2673723928201648, -0.010921429447267973, 0.018931382217459262] |
712.1008 | Quantum Simulated Annealing | We develop a quantum algorithm to solve combinatorial optimization problems
through quantum simulation of a classical annealing process. Our algorithm
combines techniques from quantum walks, quantum phase estimation, and quantum
Zeno effect. It can be viewed as a quantum analogue of the discrete-time Markov
chain Monte Carlo implementation of classical simulated annealing. Our
implementation scales with the inverse of the square root of the minimum
spectral gap of the stochastic matrix used in the classical simulation. The
quantum algorithm outperforms the classical one, which scales with the inverse
of the gap.
| quant-ph | we develop a quantum algorithm to solve combinatorial optimization problems through quantum simulation of a classical annealing process our algorithm combines techniques from quantum walks quantum phase estimation and quantum zeno effect it can be viewed as a quantum analogue of the discretetime markov chain monte carlo implementation of classical simulated annealing our implementation scales with the inverse of the square root of the minimum spectral gap of the stochastic matrix used in the classical simulation the quantum algorithm outperforms the classical one which scales with the inverse of the gap | [['we', 'develop', 'a', 'quantum', 'algorithm', 'to', 'solve', 'combinatorial', 'optimization', 'problems', 'through', 'quantum', 'simulation', 'of', 'a', 'classical', 'annealing', 'process', 'our', 'algorithm', 'combines', 'techniques', 'from', 'quantum', 'walks', 'quantum', 'phase', 'estimation', 'and', 'quantum', 'zeno', 'effect', 'it', 'can', 'be', 'viewed', 'as', 'a', 'quantum', 'analogue', 'of', 'the', 'discretetime', 'markov', 'chain', 'monte', 'carlo', 'implementation', 'of', 'classical', 'simulated', 'annealing', 'our', 'implementation', 'scales', 'with', 'the', 'inverse', 'of', 'the', 'square', 'root', 'of', 'the', 'minimum', 'spectral', 'gap', 'of', 'the', 'stochastic', 'matrix', 'used', 'in', 'the', 'classical', 'simulation', 'the', 'quantum', 'algorithm', 'outperforms', 'the', 'classical', 'one', 'which', 'scales', 'with', 'the', 'inverse', 'of', 'the', 'gap']] | [-0.07515756914821956, 0.11126816135851646, -0.15877185487648943, 0.08835918810141416, -0.03379085131122598, -0.1768469840318865, 0.042154218072767605, 0.35264396905684126, -0.3731394416683323, -0.30410178920643016, 0.12716948584740428, -0.21996332158508536, -0.19639689737296367, 0.24192744794373328, -0.01584817554064832, 0.1701451075969489, 0.09036898161642827, -0.008094743874108235, -0.11027325700146881, -0.2580340742491759, 0.21931606803375941, 0.11543661703555179, 0.254854805240469, -0.023056531890428493, 0.15674339596100234, 0.06369779301950565, 0.03842497772184088, 0.014190260996366595, -0.12103157885536388, 0.07161904631213255, 0.2533961519967396, 0.10257696000101803, 0.2868046945186107, -0.4102642885767497, -0.21380005062527055, 0.12173229730227492, 0.14526860122178722, 0.17625705540758446, -0.04365251612450395, -0.30213252751791214, 0.047026885514771875, -0.14059211751753156, -0.06276732752775098, 0.003927279266293396, -0.1265383826179819, -0.01058610315833773, -0.24527624595378125, 0.09580192450372564, 0.045734816952352667, 0.04544072523508426, 0.058326024521183184, -0.1265514370586191, 0.1131774866492948, 0.07487025712412056, -0.06526065669642955, -0.016549194579596048, 0.17697190885319486, -0.0646452907022539, -0.3092452001215501, 0.35909342693144475, -0.021574056297950037, -0.16577509661706594, 0.15748329655072846, -0.03256894831269325, -0.09017582237208774, 0.1237115166917607, 0.14217356663417316, 0.13976515754852648, -0.08711221298346153, 0.15292895960833897, -0.007394902326248504, 0.15837434878583057, -0.053478632685165485, 0.017833110313494126, 0.1420374252439405, 0.1835841393650888, 0.09842508116348105, 0.24037010197471417, -0.09294508937183399, -0.3008693214505911, -0.2754331911366515, -0.20718927820632746, -0.27751599841720453, 0.10902163968421519, -0.15241206352388523, -0.24636916060942216, 0.36630040361126376, 0.22826424015240443, 0.12606180410136233, 0.09080734566636997, 0.3110368821647141, 0.1550894068096058, 0.032787592066477494, 0.09221158712938592, 0.14397876109585042, 0.19782022412375108, 0.08596874807275585, -0.33352431432461715, 0.03598299277639323, 0.11166546193135718] |
712.1009 | The CH3SH molecule deposited on Cu(111) and deprotonation | We demonstrate for the first time that when a methanethiol adsorbed on the
regular Cu(111) surface, the dissociative structure is thermodynamically more
stable than the intact one. The computational results show that at low
temperature the methanethiol adsorbate prefers the atop site of the regular
Cu(111) surface. As the temperature is increased, the S-H bond is broken and
the methylthiolate favors the hollow sites. On the defected Cu(111) surface,
the dissociative configuration is still thermodynamically more stable than the
nondissociative one. The calculation indicates that the hydrogen initially
attached to the sulfur would like to form a bond with the copper surface rather
than desorb from it. Even though both copper and gold are the noble metal, the
stability of the methanethiol adsorption on the Cu(111) substrate is almost the
reverse of that on the Au(111).
| cond-mat.mtrl-sci | we demonstrate for the first time that when a methanethiol adsorbed on the regular cu111 surface the dissociative structure is thermodynamically more stable than the intact one the computational results show that at low temperature the methanethiol adsorbate prefers the atop site of the regular cu111 surface as the temperature is increased the sh bond is broken and the methylthiolate favors the hollow sites on the defected cu111 surface the dissociative configuration is still thermodynamically more stable than the nondissociative one the calculation indicates that the hydrogen initially attached to the sulfur would like to form a bond with the copper surface rather than desorb from it even though both copper and gold are the noble metal the stability of the methanethiol adsorption on the cu111 substrate is almost the reverse of that on the au111 | [['we', 'demonstrate', 'for', 'the', 'first', 'time', 'that', 'when', 'a', 'methanethiol', 'adsorbed', 'on', 'the', 'regular', 'cu111', 'surface', 'the', 'dissociative', 'structure', 'is', 'thermodynamically', 'more', 'stable', 'than', 'the', 'intact', 'one', 'the', 'computational', 'results', 'show', 'that', 'at', 'low', 'temperature', 'the', 'methanethiol', 'adsorbate', 'prefers', 'the', 'atop', 'site', 'of', 'the', 'regular', 'cu111', 'surface', 'as', 'the', 'temperature', 'is', 'increased', 'the', 'sh', 'bond', 'is', 'broken', 'and', 'the', 'methylthiolate', 'favors', 'the', 'hollow', 'sites', 'on', 'the', 'defected', 'cu111', 'surface', 'the', 'dissociative', 'configuration', 'is', 'still', 'thermodynamically', 'more', 'stable', 'than', 'the', 'nondissociative', 'one', 'the', 'calculation', 'indicates', 'that', 'the', 'hydrogen', 'initially', 'attached', 'to', 'the', 'sulfur', 'would', 'like', 'to', 'form', 'a', 'bond', 'with', 'the', 'copper', 'surface', 'rather', 'than', 'desorb', 'from', 'it', 'even', 'though', 'both', 'copper', 'and', 'gold', 'are', 'the', 'noble', 'metal', 'the', 'stability', 'of', 'the', 'methanethiol', 'adsorption', 'on', 'the', 'cu111', 'substrate', 'is', 'almost', 'the', 'reverse', 'of', 'that', 'on', 'the', 'au111']] | [-0.05469864298527896, 0.17568824131740257, -0.04164758641683661, 0.03319394560137024, 0.03972361790639458, -0.17111141285311213, 0.09266859469832578, 0.42956608468118834, -0.2111851534128244, -0.23276248924872456, 0.022892265104661313, -0.33831433598499966, -0.08251290892333012, 0.15645642002688392, 0.0633410724626361, -0.07110296210328884, 0.042702936791636815, 0.0043643616406959206, -0.06943982914055917, -0.24358060385138208, 0.27899783693925095, 0.12119285621926845, 0.3264576006845078, 0.12921217600609558, 0.007214394095867379, -0.042883126749931014, 0.13325987073510667, -0.011451360928784945, -0.16421429948604782, 0.13706091389191416, 0.17902625576414935, -0.07383277620401178, 0.1962836874077124, -0.5284000802066122, -0.18333960766390459, 0.012245847747715958, 0.07756818369756836, 0.1628887689918937, -0.05714612934324952, -0.2144236690364778, 0.046692616319941246, -0.08152422610916854, -0.14200708444011123, 0.009408249256118913, 0.010514559265335692, -0.005724167060072753, -0.1922658475189511, 0.054664839131018036, 0.04390798228525776, 0.04284483312820906, -0.11421726128730156, -0.15105985156739787, -0.22645097841193682, 0.03597042373461162, 0.026848786886308946, 0.05768092125585741, 0.24182630283415646, -0.07334551821216284, 0.016236507926163646, 0.4265265017251402, -0.08270229133492701, -0.12414584985098746, 0.24592453832327224, -0.19072652588981917, -0.0881537552580566, 0.23124079343260212, 0.03450207347872064, 0.15709143208497314, -0.08363983433735163, 0.047747515321080916, -0.047208146246917104, 0.21019533558009082, 0.135846589174916, -0.04709768879419083, 0.20182975003262982, 0.23314049893901134, 0.11822161236640942, 0.12622086586334796, -0.15609992239350343, -0.06946149830850225, -0.18172900071573062, -0.2368781906347174, -0.19810255965464474, 0.03734606885871686, -0.07288279456534998, -0.2178413300665424, 0.3355904017106, 0.03876008533338523, 0.16920792132869417, -0.030136333764804638, 0.2504005230867359, 0.03209849628482891, 0.06231965912122499, 0.022848183730863694, 0.24596021642141483, 0.10110700612987035, 0.04332614310003598, -0.2494526596770704, 0.18224901388234951, 0.036390831050298666] |
712.101 | The First-Order Genus of a Knot | We introduce a geometric invariant of knots in the three-sphere, called the
first-order genus, that is derived from certain 2-complexes called gropes, and
we show it is computable for many examples. While computing this invariant, we
draw some interesting conclusions about the structure of a general Seifert
surface for some knots.
| math.GT | we introduce a geometric invariant of knots in the threesphere called the firstorder genus that is derived from certain 2complexes called gropes and we show it is computable for many examples while computing this invariant we draw some interesting conclusions about the structure of a general seifert surface for some knots | [['we', 'introduce', 'a', 'geometric', 'invariant', 'of', 'knots', 'in', 'the', 'threesphere', 'called', 'the', 'firstorder', 'genus', 'that', 'is', 'derived', 'from', 'certain', '2complexes', 'called', 'gropes', 'and', 'we', 'show', 'it', 'is', 'computable', 'for', 'many', 'examples', 'while', 'computing', 'this', 'invariant', 'we', 'draw', 'some', 'interesting', 'conclusions', 'about', 'the', 'structure', 'of', 'a', 'general', 'seifert', 'surface', 'for', 'some', 'knots']] | [-0.21464832525189018, 0.11170106083519903, -0.15485422028338208, 0.1707194713514992, -0.12331576345890176, -0.1704423319657936, 0.00035553910386036425, 0.37584210698511084, -0.26300920522315246, -0.2570038755953896, 0.09161526275634327, -0.22548085217382394, -0.2652763825494285, 0.22381702222514385, -0.16105614611696378, 0.025153820640316196, 0.05300733301441605, 0.06216517743636288, -0.10886151480086732, -0.21667652176327856, 0.3820163646311152, -0.05868712367088187, 0.15495484493965028, 0.10832591322205011, 0.14217951731738068, -0.04995970357684236, -0.018172730964508055, 0.06227808417387161, -0.25386166905452995, 0.16916811647003188, 0.23947941398649825, 0.1048850385362611, 0.14736686045687428, -0.3410785098140146, -0.18806118297153243, 0.1188474705022778, 0.10817770460876179, 0.08288053727215704, -0.07004746643132438, -0.27240942460576106, 0.10847308591017317, -0.1377024974162672, -0.13279647229001948, -0.11335891375646871, 0.02990796014794386, -0.0053389277571684445, -0.15882362355592242, -0.03414979060728322, 0.11496875252501637, 0.0949948190656655, 0.018490644664887118, -0.09637364404339928, -0.01815466900520465, 0.11578888371221575, 0.04290219599965448, 0.05472837875177171, 0.08392199611875649, -0.1434931088485481, -0.0764341883443515, 0.367751900471893, -0.015218541811348177, -0.2423284350364816, 0.15543391052907443, -0.12026464181276512, -0.2789490305471654, 0.1703195714702209, 0.08838500173798963, 0.13179256253894053, -0.05977871842504315, 0.11182110255707384, -0.16218843099241162, 0.11679758847344156, 0.10259406841999176, -0.0017122703857774682, 0.15890404355584406, 0.053453790115229056, 0.07473247768425875, 0.22322548195427538, -0.029454381835153875, -0.10767131295128196, -0.34722528363778893, -0.2518171238183391, -0.13490004943428086, 0.10272727273952435, -0.10373614677290806, -0.21356535538592758, 0.4230965062537614, 0.10395073510852515, 0.1950962112705205, 0.1673911835258717, 0.2633632008059352, 0.04737189603859887, 0.03852079974889171, 0.147979957197665, 0.14354765557286822, 0.1436442249801521, -0.044727141197369084, -0.06759750362321296, 0.0200104640668952, 0.14920649697602378] |
712.1011 | An Exceptional Electroweak Model | We consider a gauge extension of the electroweak sector of the Standard Model
based on the group G_2 x SU(2)x U(1). The exceptional group G_2 is the smallest
rank two group that contains SU(3) as a subgroup; the SU(3) prediction sin^2
theta_w=1/4 follows approximately in this model if the couplings of the
additional SU(2) and U(1) factors are sufficiently large. We study the symmetry
breaking sector of the model, the bounds from precision electroweak constraints
and the mass spectrum of exotic gauge bosons that may be produced at future
colliders. We also discuss an SU(3) electroweak model in which a vector-like
sector is included explicitly to facilitate the decays of otherwise stable
exotic states. The models considered here represent plausible extensions of the
minimal SU(3) electroweak model with potentially distinctive TeV-scale
phenomenology.
| hep-ph | we consider a gauge extension of the electroweak sector of the standard model based on the group g_2 x su2x u1 the exceptional group g_2 is the smallest rank two group that contains su3 as a subgroup the su3 prediction sin2 theta_w14 follows approximately in this model if the couplings of the additional su2 and u1 factors are sufficiently large we study the symmetry breaking sector of the model the bounds from precision electroweak constraints and the mass spectrum of exotic gauge bosons that may be produced at future colliders we also discuss an su3 electroweak model in which a vectorlike sector is included explicitly to facilitate the decays of otherwise stable exotic states the models considered here represent plausible extensions of the minimal su3 electroweak model with potentially distinctive tevscale phenomenology | [['we', 'consider', 'a', 'gauge', 'extension', 'of', 'the', 'electroweak', 'sector', 'of', 'the', 'standard', 'model', 'based', 'on', 'the', 'group', 'g_2', 'x', 'su2x', 'u1', 'the', 'exceptional', 'group', 'g_2', 'is', 'the', 'smallest', 'rank', 'two', 'group', 'that', 'contains', 'su3', 'as', 'a', 'subgroup', 'the', 'su3', 'prediction', 'sin2', 'theta_w14', 'follows', 'approximately', 'in', 'this', 'model', 'if', 'the', 'couplings', 'of', 'the', 'additional', 'su2', 'and', 'u1', 'factors', 'are', 'sufficiently', 'large', 'we', 'study', 'the', 'symmetry', 'breaking', 'sector', 'of', 'the', 'model', 'the', 'bounds', 'from', 'precision', 'electroweak', 'constraints', 'and', 'the', 'mass', 'spectrum', 'of', 'exotic', 'gauge', 'bosons', 'that', 'may', 'be', 'produced', 'at', 'future', 'colliders', 'we', 'also', 'discuss', 'an', 'su3', 'electroweak', 'model', 'in', 'which', 'a', 'vectorlike', 'sector', 'is', 'included', 'explicitly', 'to', 'facilitate', 'the', 'decays', 'of', 'otherwise', 'stable', 'exotic', 'states', 'the', 'models', 'considered', 'here', 'represent', 'plausible', 'extensions', 'of', 'the', 'minimal', 'su3', 'electroweak', 'model', 'with', 'potentially', 'distinctive', 'tevscale', 'phenomenology']] | [-0.1453581263887952, 0.2593063766138765, -0.0738591167574592, 0.15948899298326916, -0.10969366540577803, -0.17345148509098146, 0.019054473481738214, 0.33273701712076786, -0.20575460782345698, -0.2540495460390874, 0.09149467670145438, -0.28155099989434007, -0.06511438094818865, 0.06378153466107679, 0.037243934986288196, 0.017393090467160668, -0.0010952273675219248, 0.08788389751673427, -0.08076626403996622, -0.2555384699109487, 0.2862399188687897, -0.021099533420056105, 0.21785102039575577, 0.06277483499089953, 0.07880253857357129, -0.030621271147677064, 0.028557710157607802, -0.09222333348277985, -0.10080897781803745, 0.09098332183024996, 0.16640110455137586, 0.04798688456586754, 0.09561982128826034, -0.3698969366284841, -0.17235576552303353, 0.20300463352437692, 0.13486891518034155, 0.12674402897619422, -0.0650594032214926, -0.3507599715314066, 0.09268918415160053, -0.24505923491127732, -0.16764015549409936, -0.09354645483025158, -0.0634153291373336, -0.14831824503120974, -0.32734947878767856, 0.06896097376344562, -0.03285793086846238, 0.05310880881911926, 0.00023623905855565125, -0.1434443011517345, -0.11147318521287036, 0.015736014884363377, 0.16564564931718276, 0.02850883388945136, 0.12198559834732041, -0.2313094988342229, -0.1734920804044907, 0.48130965788798935, -0.0799432152683157, -0.16936904352108542, 0.11970889635334317, -0.15254981763650244, -0.2262950450864457, 0.08822227955461685, 0.18053952954311409, 0.06628389880509926, -0.1139764178522955, 0.2356867517143815, -0.1096466778464729, 0.16859247512361816, -0.018639994987805608, 0.05425547728695345, 0.24269573800692348, 0.18706120687842598, 0.045320635370000174, 0.05455462080657567, 0.01571601454189886, -0.0749020358713749, -0.474129528262233, -0.10347258160779438, -0.07238413705241703, 0.07516832713314105, -0.11016788535537234, -0.1026868388573959, 0.4332056715373547, 0.1369284479425623, 0.18867783223541865, 0.01083351863469957, 0.22569423041285108, 0.04059805937079386, 0.10416677894376446, 0.024594293011508825, 0.250955552029786, 0.15897768742639487, -0.0319695744418205, -0.24251250181531975, -0.06849437544321399, 0.1302000394602882] |
712.1012 | Generalized parton distributions of the pion in chiral quark models and
their QCD evolution | We evaluate Generalized Parton Distributions of the pion in two chiral quark
models: the Spectral Quark Model and the Nambu-Jona-Lasinio model with a
Pauli-Villars regularization. We proceed by the evaluation of double
distributions through the use of a manifestly covariant calculation based on
the alpha representation of propagators. As a result polynomiality is
incorporated automatically and calculations become simple. In addition,
positivity and normalization constraints, sum rules and soft pion theorems are
fulfilled. We obtain explicit formulas, holding at the low-energy quark-model
scale. The expressions exhibit no factorization in the t-dependence. The QCD
evolution of those parton distributions is carried out to experimentally or
lattice accessible scales. We argue for the need of evolution by comparing the
Parton Distribution Function and the Parton Distribution Amplitude of the pion
to the available experimental and lattice data, and confirm that the
quark-model scale is low, about 320 MeV.
| hep-ph | we evaluate generalized parton distributions of the pion in two chiral quark models the spectral quark model and the nambujonalasinio model with a paulivillars regularization we proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the alpha representation of propagators as a result polynomiality is incorporated automatically and calculations become simple in addition positivity and normalization constraints sum rules and soft pion theorems are fulfilled we obtain explicit formulas holding at the lowenergy quarkmodel scale the expressions exhibit no factorization in the tdependence the qcd evolution of those parton distributions is carried out to experimentally or lattice accessible scales we argue for the need of evolution by comparing the parton distribution function and the parton distribution amplitude of the pion to the available experimental and lattice data and confirm that the quarkmodel scale is low about 320 mev | [['we', 'evaluate', 'generalized', 'parton', 'distributions', 'of', 'the', 'pion', 'in', 'two', 'chiral', 'quark', 'models', 'the', 'spectral', 'quark', 'model', 'and', 'the', 'nambujonalasinio', 'model', 'with', 'a', 'paulivillars', 'regularization', 'we', 'proceed', 'by', 'the', 'evaluation', 'of', 'double', 'distributions', 'through', 'the', 'use', 'of', 'a', 'manifestly', 'covariant', 'calculation', 'based', 'on', 'the', 'alpha', 'representation', 'of', 'propagators', 'as', 'a', 'result', 'polynomiality', 'is', 'incorporated', 'automatically', 'and', 'calculations', 'become', 'simple', 'in', 'addition', 'positivity', 'and', 'normalization', 'constraints', 'sum', 'rules', 'and', 'soft', 'pion', 'theorems', 'are', 'fulfilled', 'we', 'obtain', 'explicit', 'formulas', 'holding', 'at', 'the', 'lowenergy', 'quarkmodel', 'scale', 'the', 'expressions', 'exhibit', 'no', 'factorization', 'in', 'the', 'tdependence', 'the', 'qcd', 'evolution', 'of', 'those', 'parton', 'distributions', 'is', 'carried', 'out', 'to', 'experimentally', 'or', 'lattice', 'accessible', 'scales', 'we', 'argue', 'for', 'the', 'need', 'of', 'evolution', 'by', 'comparing', 'the', 'parton', 'distribution', 'function', 'and', 'the', 'parton', 'distribution', 'amplitude', 'of', 'the', 'pion', 'to', 'the', 'available', 'experimental', 'and', 'lattice', 'data', 'and', 'confirm', 'that', 'the', 'quarkmodel', 'scale', 'is', 'low', 'about', '320', 'mev']] | [-0.06117185943421895, 0.19444243467017397, -0.1832598442513151, 0.16995091177124452, -0.06987434055569282, -0.07524208771383824, 0.07048940166594997, 0.39345558100915834, -0.17466447541923963, -0.2422373325831882, 0.01719250326277688, -0.2862883633583121, -0.04634168820474807, 0.08937548637734599, 0.07696310158753975, 0.11483570324314427, 0.0506036907230338, -0.009824237116446642, -0.11958451091139641, -0.20219317968449976, 0.3624727029966554, 0.04487348309389558, 0.2719404042366739, 0.16552027146816764, 0.09960676879025614, 0.04956392153510696, -0.08339653566020401, -0.07323472088917274, -0.12722678254989386, 0.08764385591956392, 0.1859956545613386, 0.06430398142730741, 0.1345271617094412, -0.39284721985842064, -0.16760698789894127, 0.04804665816003737, 0.13479572682233196, 0.10005763262408236, 0.01262619586764667, -0.238530239779247, 0.08268921263197003, -0.2481101754070451, -0.15939384167503617, -0.17072090709403362, -0.05229480688983243, 0.009759838393034593, -0.31007156630161486, 0.1035976247177842, -0.02447128455052535, 0.03809680191002434, -0.05018052139338616, -0.213707942691032, -0.015849899522934672, 0.06921927606820907, 0.08116586345617902, 0.05338096614067494, 0.13726148751806722, -0.18956463185432232, -0.12943079257511522, 0.4157631820935297, -0.036187567477025194, -0.2019728829239795, 0.08083495601281294, -0.15706080465883732, -0.14945317783443998, 0.10579826790609792, 0.11834347229419047, 0.09964889659201853, -0.1879333474175775, 0.11059719231996322, -0.042936996556818485, 0.15595383090461437, 0.09764209046819541, 0.03654661000792371, 0.1804978684968736, 0.1442064777469543, -0.044746797436159357, 0.10969248265410735, -0.05793928877571725, -0.14807925760835308, -0.3933505990529714, -0.054935458830672586, -0.15957901548683542, 0.04982340915689934, -0.13487206222993808, -0.14993732489808143, 0.3753672421412313, 0.13876135277797863, 0.2317843758726368, 0.0893663773329112, 0.2923252768623196, 0.14849889566061367, 0.10859170909779631, 0.0642092370345219, 0.20272350915522658, 0.1831114642012686, 0.11030729701471426, -0.24001227939909656, 0.005598911283576019, 0.09158380450170538] |
712.1013 | Hankel operators that commute with second-order differential operators | Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on
$L^2(0, \infty)$ and that $Lf=-(d/dx(a(x)df/dx))+b(x)f(x)$ with $a(0)=0$. If
$a$ and $b$ are both quadratic, hyperbolic or trigonometric functions, and
$\phi$ satisfies a suitable form of Gauss's hypergeometric equation, or the
confluent hypergeometric equation, then $L\Gamma =\Gamma L$. The paper
catalogues the commuting pairs $\Gamma$ and $L$, including important cases in
random matrix theory. There are also results proving rapid decay of the
singular numbers of Hankel integral operators with kernels that are analytic
and of exponential decay in the right half plane.
| math.FA | suppose that gamma is a continuous and selfadjoint hankel operator on l20 infty and that lfddxaxdfdxbxfx with a00 if a and b are both quadratic hyperbolic or trigonometric functions and phi satisfies a suitable form of gausss hypergeometric equation or the confluent hypergeometric equation then lgamma gamma l the paper catalogues the commuting pairs gamma and l including important cases in random matrix theory there are also results proving rapid decay of the singular numbers of hankel integral operators with kernels that are analytic and of exponential decay in the right half plane | [['suppose', 'that', 'gamma', 'is', 'a', 'continuous', 'and', 'selfadjoint', 'hankel', 'operator', 'on', 'l20', 'infty', 'and', 'that', 'lfddxaxdfdxbxfx', 'with', 'a00', 'if', 'a', 'and', 'b', 'are', 'both', 'quadratic', 'hyperbolic', 'or', 'trigonometric', 'functions', 'and', 'phi', 'satisfies', 'a', 'suitable', 'form', 'of', 'gausss', 'hypergeometric', 'equation', 'or', 'the', 'confluent', 'hypergeometric', 'equation', 'then', 'lgamma', 'gamma', 'l', 'the', 'paper', 'catalogues', 'the', 'commuting', 'pairs', 'gamma', 'and', 'l', 'including', 'important', 'cases', 'in', 'random', 'matrix', 'theory', 'there', 'are', 'also', 'results', 'proving', 'rapid', 'decay', 'of', 'the', 'singular', 'numbers', 'of', 'hankel', 'integral', 'operators', 'with', 'kernels', 'that', 'are', 'analytic', 'and', 'of', 'exponential', 'decay', 'in', 'the', 'right', 'half', 'plane']] | [-0.1528965185279958, 0.14921718352454025, -0.06155141127680469, 0.08609518446863386, -0.11400539827097775, -0.1807636321451434, -0.0006141308492616466, 0.33683457368043374, -0.2948268134470867, -0.14042660536285004, 0.1123363031909558, -0.36833783664295205, -0.14856910155883626, 0.22200381990684115, 0.02015020347038365, 0.09608525318680736, 0.07211967632326338, 0.08363039823977844, -0.12205555635939716, -0.21046181247473453, 0.3707167050047049, -0.07134439589698678, 0.12234648836918337, 0.02275264247968469, 0.08734122610590218, -0.0012841170360131757, -0.04118316606922156, -0.08691742684318936, -0.13510427844535708, 0.06219482933343186, 0.22440266520615018, 0.0957837822371284, 0.2433274046229401, -0.3636657800905042, -0.09060608062123798, 0.19616756240999245, 0.16862298862542957, -0.10121606010943651, -0.022990166691749397, -0.27248091736565466, 0.06561749033331264, -0.13961272762136775, -0.1772625509487546, -0.06663989908638937, 0.09700847579591462, 0.10678679917169653, -0.35157416709799966, 0.11474982655383191, 0.09895796810135084, 0.036396975573354765, -0.0319868442020379, -0.16803064813796917, -0.021036488930289837, 0.026620671497252973, 0.04771908380992144, 0.058331237607331866, 0.054464137794085495, -0.07653265570432109, -0.0597621373295703, 0.33753203048178443, -0.04560671882379962, -0.26476207266197255, 0.0832636997954029, -0.22465417547272923, -0.1530434833890151, 0.11666284692878633, 0.10793291569849395, 0.12042176938595493, -0.10059311696449699, 0.2323014806594153, -0.07975010573863983, 0.10645477007062215, 0.12366839780209019, 0.014353278664993528, 0.08818602642935255, -0.015145654893864918, 0.04164710876711584, 0.10030608945374336, 0.03783505717444274, -0.07023857771823912, -0.3980544134164634, -0.17153721562910662, -0.14272412038680277, 0.13961451580262688, -0.1347904415467739, -0.2212618503253907, 0.3579789400417054, -0.0015745211554610212, 0.17024161462145654, 0.12992254960725247, 0.21017119187213804, 0.21335077244831432, 0.04624242007886768, 0.07897627528694537, 0.09066056101785405, 0.2164546770306871, 0.06167005384138421, -0.16320198507594835, -0.025583997125858845, 0.15651190426686537] |
712.1014 | Characterization Of A Class Of Graphs Related To Pairs Of Disjoint
Matchings | For a given graph consider a pair of disjoint matchings the union of which
contains as many edges as possible. Furthermore, consider the relation of the
cardinalities of a maximum matching and the largest matching in those pairs. It
is known that this relation does not exceed 5/4 for any graph. We characterize
the class of graphs for which this relation is precisely 5/4. Our
characterization implies that these graphs contain a spanning subgraph, every
component of which is the minimal graph of this class.
| cs.DM | for a given graph consider a pair of disjoint matchings the union of which contains as many edges as possible furthermore consider the relation of the cardinalities of a maximum matching and the largest matching in those pairs it is known that this relation does not exceed 54 for any graph we characterize the class of graphs for which this relation is precisely 54 our characterization implies that these graphs contain a spanning subgraph every component of which is the minimal graph of this class | [['for', 'a', 'given', 'graph', 'consider', 'a', 'pair', 'of', 'disjoint', 'matchings', 'the', 'union', 'of', 'which', 'contains', 'as', 'many', 'edges', 'as', 'possible', 'furthermore', 'consider', 'the', 'relation', 'of', 'the', 'cardinalities', 'of', 'a', 'maximum', 'matching', 'and', 'the', 'largest', 'matching', 'in', 'those', 'pairs', 'it', 'is', 'known', 'that', 'this', 'relation', 'does', 'not', 'exceed', '54', 'for', 'any', 'graph', 'we', 'characterize', 'the', 'class', 'of', 'graphs', 'for', 'which', 'this', 'relation', 'is', 'precisely', '54', 'our', 'characterization', 'implies', 'that', 'these', 'graphs', 'contain', 'a', 'spanning', 'subgraph', 'every', 'component', 'of', 'which', 'is', 'the', 'minimal', 'graph', 'of', 'this', 'class']] | [-0.1553855526754085, 0.09318537213497192, -0.012927981334574082, 0.06403371914673378, -0.097536192815203, -0.06237811448381227, 0.06290241150075898, 0.34494211803573893, -0.26719012004049386, -0.34385794940240244, 0.12316195872091852, -0.3160773163770928, -0.13590542525053023, 0.15857626467066652, -0.08684429607408888, -0.012175104893600184, 0.11934406538220013, 0.12879940383136274, 0.012168525197022759, -0.21488517621936112, 0.3433870126876761, -0.08281360912301085, 0.22874239588923315, 0.060222131019348604, 0.09201620299067786, 0.04443661921712406, -0.01188064068555832, 0.1044480003635673, -0.1635168063243755, 0.12032069506890633, 0.24804754872970722, 0.19930317003608627, 0.20685272625483134, -0.30437882834435986, -0.19077246010522633, 0.2573897815487512, 0.11101924054297235, 0.06732757213278948, 0.022122664979713803, -0.14825251493602992, 0.15036410699762842, -0.12975868924575693, -0.06272880470599322, 0.029278891856836922, 0.0967906444443061, 0.014142282548196175, -0.27643615555785156, 0.004410475166514516, 0.15079189198201193, 0.026814772895372967, 0.045647901915671196, -0.10899337468778386, -0.035890769884538126, 0.1253124241662376, -0.08666863747160225, 0.05607099300935207, 0.021523873260765172, -0.1233191807887873, -0.16553671614212148, 0.4130652619197088, -0.02808885234681999, -0.13861162091934068, 0.16177652919774546, -0.13633772465828395, -0.19869128665065064, 0.10855988711118698, 0.11078082591514377, 0.14779824739431632, -0.16250052269109908, 0.0773822758339948, -0.17177711961900485, 0.1445514368605526, 0.11897896286100149, 0.05344130470253089, 0.1798515778801897, 0.14208979504182934, 0.16754206772825186, 0.17690432512146584, -0.012781331920996309, 0.0008520978112595485, -0.3352686591117698, -0.1506081639405559, -0.23834786554250648, 0.03384380516859785, -0.14966523807259577, -0.26441753061816975, 0.4370649725198746, 0.11248809399411959, 0.23420089330962476, 0.12459406697547391, 0.20582499528194176, 0.0751308587311274, 0.09484909091363936, 0.1654132528394899, 0.19104790706187486, 0.130733252787853, -0.05673178841962534, -0.13963168183999025, 0.07162106247783145, 0.08952123208026237] |
712.1015 | Concurrence and negativity as distances | In this report we consider the three dimensional subset of the space of
states of two qubits that may be written in the so called standard form. For
those states we show that different measures of entanglement, specifically
concurrence, negativity and the Hilbert-Schmidt distance are proportional to
the euclidean distance between the point representing the state in the three
dimensional parameter space and the set of separable states.
| quant-ph | in this report we consider the three dimensional subset of the space of states of two qubits that may be written in the so called standard form for those states we show that different measures of entanglement specifically concurrence negativity and the hilbertschmidt distance are proportional to the euclidean distance between the point representing the state in the three dimensional parameter space and the set of separable states | [['in', 'this', 'report', 'we', 'consider', 'the', 'three', 'dimensional', 'subset', 'of', 'the', 'space', 'of', 'states', 'of', 'two', 'qubits', 'that', 'may', 'be', 'written', 'in', 'the', 'so', 'called', 'standard', 'form', 'for', 'those', 'states', 'we', 'show', 'that', 'different', 'measures', 'of', 'entanglement', 'specifically', 'concurrence', 'negativity', 'and', 'the', 'hilbertschmidt', 'distance', 'are', 'proportional', 'to', 'the', 'euclidean', 'distance', 'between', 'the', 'point', 'representing', 'the', 'state', 'in', 'the', 'three', 'dimensional', 'parameter', 'space', 'and', 'the', 'set', 'of', 'separable', 'states']] | [-0.14390067026183448, 0.18374656213392668, -0.045282432795776165, 0.057578903833500054, 0.04851128626614809, -0.11085590355865219, 0.021426612908458886, 0.35444582998752594, -0.26947050065021305, -0.22610189736930325, 0.06914719866129898, -0.31198466854060397, -0.10752363631720929, 0.16015619124450228, -0.021929973996627855, 0.05789641251184923, 0.04153725668883828, 0.09271001551464639, -0.11377989527468077, -0.2527193263864747, 0.4482403547667405, -0.06274928494959194, 0.26250923945404153, 0.014234677080393714, 0.10296234824722085, -0.024195938679280087, 0.02768175136845778, 0.060446428161573265, -0.11212992762075909, 0.12698858236185248, 0.2406884122037274, 0.17596772604156286, 0.2540124552872251, -0.3970131089582163, -0.17329970560967922, 0.16097098968320472, 0.08116130983484361, 0.0804007745704011, 0.039699766675339025, -0.32090014838339653, -0.012639414947069086, -0.15827946737408638, -0.09003619303899434, -0.08271420322468176, 0.037067781394237984, -0.0477891013108413, -0.24027056226109647, 0.07756168035762932, 0.013491465446457048, 0.022552034475238007, -0.054559857654727664, -0.1180131172432619, -0.0253299237057731, 0.1389679115758661, -0.0164739339328234, 0.0365237949128427, 0.06240722972570973, -0.07558812299569528, -0.13737332764225463, 0.3227890322587508, -0.050314034800976515, -0.26044860167209716, 0.2035142348442391, -0.1825892234029358, -0.09142739357262411, 0.0030674745520467266, 0.16783132747171775, 0.11473742216442, -0.12981684636050725, 0.09286056260188001, -0.05067915091400638, 0.14650847800016087, 0.06226013604250243, 0.14611528511159122, 0.14908055293455938, 0.075813327833791, 0.09659802406916723, 0.22280418877455624, -0.11200176323900986, -0.14383971121381312, -0.3424292678862591, -0.24561501225894866, -0.2499485780375407, 0.04362148928510792, -0.10731733121236389, -0.16304346484899082, 0.42421131766990156, 0.09718703538323205, 0.23475819137906107, 0.03787436027435914, 0.2237627787844223, 0.0918502085690253, 0.050157439388225186, 0.11092759275754147, 0.26271680424756866, 0.06702709011733532, -0.036234791602884585, -0.21917588893762407, 0.017696047482519028, 0.09306679390754331] |
712.1016 | Automating Renormalization of Quantum Field Theories | We give an overview of state-of-the-art multi-loop Feynman diagram
computations, and explain how we use symbolic manipulation to generate
renormalized integrals that are then evaluated numerically. We explain how we
automate BPHZ renormalization using "henges" and "sectors", and give a brief
description of the symbolic tensor and Dirac gamma-matrix manipulation that is
required. We shall compare the use of general computer algebra systems such as
Maple with domain-specific languages such as
FORM, highlighting in particular memory management issues.
| hep-ph | we give an overview of stateoftheart multiloop feynman diagram computations and explain how we use symbolic manipulation to generate renormalized integrals that are then evaluated numerically we explain how we automate bphz renormalization using henges and sectors and give a brief description of the symbolic tensor and dirac gammamatrix manipulation that is required we shall compare the use of general computer algebra systems such as maple with domainspecific languages such as form highlighting in particular memory management issues | [['we', 'give', 'an', 'overview', 'of', 'stateoftheart', 'multiloop', 'feynman', 'diagram', 'computations', 'and', 'explain', 'how', 'we', 'use', 'symbolic', 'manipulation', 'to', 'generate', 'renormalized', 'integrals', 'that', 'are', 'then', 'evaluated', 'numerically', 'we', 'explain', 'how', 'we', 'automate', 'bphz', 'renormalization', 'using', 'henges', 'and', 'sectors', 'and', 'give', 'a', 'brief', 'description', 'of', 'the', 'symbolic', 'tensor', 'and', 'dirac', 'gammamatrix', 'manipulation', 'that', 'is', 'required', 'we', 'shall', 'compare', 'the', 'use', 'of', 'general', 'computer', 'algebra', 'systems', 'such', 'as', 'maple', 'with', 'domainspecific', 'languages', 'such', 'as', 'form', 'highlighting', 'in', 'particular', 'memory', 'management', 'issues']] | [-0.10417843579810548, 0.06840641303883727, -0.0824471807300851, 0.11951646900149183, -0.17798180130685304, -0.12488067642991225, 0.002193019761667623, 0.4079385714290978, -0.2507060330373223, -0.2781063695740584, 0.10649827035905962, -0.24290593798187646, -0.24871838400019453, 0.2093208668414842, -0.09135166451625236, 0.022119614253328604, 0.1132401033219966, -0.00820668370692761, -0.12185477096793036, -0.25890806606402256, 0.32183720167520663, -0.010022894805902011, 0.2224706139947687, 0.09585575569820191, 0.0904003217961494, 0.03459534158494759, -0.06755112875373913, -0.009693289326818346, -0.15481721882065064, 0.1467400795852693, 0.33717922171783427, 0.17917233744224945, 0.189835704600759, -0.4826785460743424, -0.10589733687168978, 0.03429065107718691, 0.19342063231296935, 0.13731458018966286, -0.039390375777208185, -0.2407582789393408, 0.06712299301107595, -0.28810535443874147, -0.12361051918721044, -0.2997727641448766, 0.018015699805812788, -0.013134616736304498, -0.18870190062935088, -0.025027679896296617, 0.00488507595251907, 0.12346621594307097, -0.00890834661436497, -0.10155589063198293, 0.0336135427842473, 0.13687236370615563, 0.0021846939433727403, 0.0031339309976569246, 0.12624165764707443, -0.15644748679697876, -0.22297510448480387, 0.38894059233270684, -0.04333240144081752, -0.21348012082109397, 0.15943185512925945, -0.04103823828619796, -0.18020510595509565, 0.007637871647035921, 0.15121266969128863, 0.11757855277581068, -0.14839361012949573, 0.1298475734520607, 0.001023407109299457, 0.12923427132357443, 0.08328114859396954, 0.02461817515666246, 0.15932703466916626, 0.1583027868174839, -0.01473172450462332, 0.1869714980666804, 0.015960920475084673, -0.13234618932988446, -0.36865950225816146, -0.18384101393015742, -0.10924116637581935, 0.045874704086741845, -0.05168019948669334, -0.1900288499528905, 0.4031546192890783, 0.2588992589213825, 0.1484461194153742, 0.06851211223182838, 0.30432258941862106, 0.13418776964974383, 0.0688398444613853, 0.09322434697034103, 0.11423772485176852, 0.1066423174380869, 0.12449069963405271, -0.2203008282941754, -0.02630233478599361, 0.12546539138518759] |
712.1017 | Tunneling Study of the Charge-Ordering Gap on the Surface of
La$_{0.350}$Pr$_{0.275}$Ca$_{0.375}$MnO$_3$ Thin Films | Variable temperature scanning tunneling microscopy/spectroscopy studies on
(110) oriented epitaxial thin films of
La$_{0.350}$Pr$_{0.275}$Ca$_{0.375}$MnO$_3$ are reported in the temperature
range of 77 to 340 K. The films, grown on lattice matched NdGaO$_3$ substrates,
show a hysteretic metal-insulator transition in resistivity at 170 K. The
topographic STM images show step-terrace morphology while the conductance
images display a nearly homogeneous surface. The normalized conductance spectra
at low temperatures (T$<$150 K) show an energy gap of 0.5 eV while for
T$\geq$180 K a gap of 0.16 eV is found from the activated behavior of the zero
bias conductance. The presence of energy gap and the absence of phase
separation on the surface over more than 2 $\mu$m$\times$2 $\mu$m area
contradicts the metallic behavior seen in resistivity measurements at low
temperatures. We discuss the measured energy gap in terms of the stabilization
of the insulating CO phase at the film surface.
| cond-mat.str-el | variable temperature scanning tunneling microscopyspectroscopy studies on 110 oriented epitaxial thin films of la_0350pr_0275ca_0375mno_3 are reported in the temperature range of 77 to 340 k the films grown on lattice matched ndgao_3 substrates show a hysteretic metalinsulator transition in resistivity at 170 k the topographic stm images show stepterrace morphology while the conductance images display a nearly homogeneous surface the normalized conductance spectra at low temperatures t150 k show an energy gap of 05 ev while for tgeq180 k a gap of 016 ev is found from the activated behavior of the zero bias conductance the presence of energy gap and the absence of phase separation on the surface over more than 2 mumtimes2 mum area contradicts the metallic behavior seen in resistivity measurements at low temperatures we discuss the measured energy gap in terms of the stabilization of the insulating co phase at the film surface | [['variable', 'temperature', 'scanning', 'tunneling', 'microscopyspectroscopy', 'studies', 'on', '110', 'oriented', 'epitaxial', 'thin', 'films', 'of', 'la_0350pr_0275ca_0375mno_3', 'are', 'reported', 'in', 'the', 'temperature', 'range', 'of', '77', 'to', '340', 'k', 'the', 'films', 'grown', 'on', 'lattice', 'matched', 'ndgao_3', 'substrates', 'show', 'a', 'hysteretic', 'metalinsulator', 'transition', 'in', 'resistivity', 'at', '170', 'k', 'the', 'topographic', 'stm', 'images', 'show', 'stepterrace', 'morphology', 'while', 'the', 'conductance', 'images', 'display', 'a', 'nearly', 'homogeneous', 'surface', 'the', 'normalized', 'conductance', 'spectra', 'at', 'low', 'temperatures', 't150', 'k', 'show', 'an', 'energy', 'gap', 'of', '05', 'ev', 'while', 'for', 'tgeq180', 'k', 'a', 'gap', 'of', '016', 'ev', 'is', 'found', 'from', 'the', 'activated', 'behavior', 'of', 'the', 'zero', 'bias', 'conductance', 'the', 'presence', 'of', 'energy', 'gap', 'and', 'the', 'absence', 'of', 'phase', 'separation', 'on', 'the', 'surface', 'over', 'more', 'than', '2', 'mumtimes2', 'mum', 'area', 'contradicts', 'the', 'metallic', 'behavior', 'seen', 'in', 'resistivity', 'measurements', 'at', 'low', 'temperatures', 'we', 'discuss', 'the', 'measured', 'energy', 'gap', 'in', 'terms', 'of', 'the', 'stabilization', 'of', 'the', 'insulating', 'co', 'phase', 'at', 'the', 'film', 'surface']] | [-0.1729004126480302, 0.18223601386054927, -0.04614489123600328, -0.031985995193988655, 0.03913795811402249, -0.13549392015678072, 0.11711056091331153, 0.42959073793867397, -0.2481999979875885, -0.3729276636408435, -0.0028267906616545385, -0.3544881360139698, -0.037071321922768324, 0.1993088428474342, 0.025712807678044354, -0.013292635275370735, -0.04596500192484301, -0.051224564954787236, -0.13007136186368168, -0.19965125941881626, 0.23990514479939723, 0.04785740739559211, 0.35156730121363783, 0.12629601077060215, 0.024518886545491923, -0.05412378124553167, 0.12560338876856905, 0.040909063474423926, -0.2195636864893863, -0.017799979185737256, 0.27965944074094296, -0.17334101538937022, 0.16015028178743604, -0.38571304956147084, -0.2239958444196317, -0.02307211371791911, 0.08959462821884598, 0.046304208404358685, -0.04445084721990295, -0.2367010152213172, 0.09408498369157314, -0.043966411920135014, -0.08372455377442141, -0.006187647238322016, -0.017153235958378192, -0.06674339691865801, -0.1907679178665502, 0.15514577127113524, 0.026951031319590077, 0.1783276311390283, -0.11803974033359231, -0.19478505062094578, -0.11613626163711564, 0.011953390122572374, 0.011418478371019268, 0.0624976494420682, 0.22590838327758117, -0.10325444561506932, -0.038197715100573584, 0.29789477287300137, -0.10046536746944588, 0.02726001812293867, 0.17279629715873548, -0.23029061844701776, -0.017109976505808946, 0.2597737974849426, 0.09292278208886273, 0.1243114811497637, -0.11830539449066338, 0.06919635501496184, 0.024878111564450793, 0.24472433977967334, 0.1201793166983407, 0.043738979000611126, 0.2610069863537016, 0.20570528410785804, 0.05071817305158927, 0.12299362701257148, -0.20452688403990274, 0.023018092453841947, -0.22311025996330297, -0.16540671115378952, -0.22612001124030534, 0.08818642297733782, -0.1018450581014905, -0.18280669748007009, 0.3657437587519073, 0.12381939306376605, 0.26185932249710375, 0.017078359053509, 0.2326592117476846, 0.08318489143130137, 0.07085015766076846, 0.05168879974128989, 0.22781804527363014, 0.15984091498709554, 0.17234916693764213, -0.27673929463586927, 0.08750152542294624, -0.060879179418811366] |
712.1018 | Taibleson Operators, p-adic Parabolic Equations and Ultrametric
Diffusion | We give a multimensional version of the p-adic heat equation, and show that
its fundamental solution is the transition density of a Markov process.
| math-ph math.MP | we give a multimensional version of the padic heat equation and show that its fundamental solution is the transition density of a markov process | [['we', 'give', 'a', 'multimensional', 'version', 'of', 'the', 'padic', 'heat', 'equation', 'and', 'show', 'that', 'its', 'fundamental', 'solution', 'is', 'the', 'transition', 'density', 'of', 'a', 'markov', 'process']] | [-0.1481333972643251, 0.0818444966217098, -0.18257963697871435, 0.055678380205711656, -0.07739953267509522, -0.06492726887454806, 0.08393288841066153, 0.311493177452813, -0.331171824839776, -0.20794205545731212, 0.13709270777990637, -0.2600843491761581, -0.1664251736972643, 0.16313269183687543, -0.003743688778384872, 0.03838072708838255, 0.0699349967357905, 0.12777370133477708, -0.05186499692702099, -0.17886292877728524, 0.34808033607576205, 0.014916357624789944, 0.2585730641857599, 0.08031139668563138, 0.16858817653163619, -0.03473113618953073, 0.05219755216461161, -0.07325628092107565, -0.19177328917841963, 0.09780451262612706, 0.20584538951516151, 0.10285164221473363, 0.28612685900019563, -0.37379253242650756, -0.23633685762710546, 0.13115063320804873, 0.077693203119966, 0.1078127353735592, -0.09242472400807816, -0.26666631266150786, 0.04565077963406625, -0.15366326774591985, -0.12791753985473645, -0.08417575883314661, -0.0014136117761549742, 0.05558089685180913, -0.28045852085494477, 0.1234387208748123, 0.11562277153944192, 0.00428707091866628, -0.10069969871951996, -0.05605006651224002, 5.0545062707818076e-05, 0.04721703441084727, 0.015135514255076565, 0.043455608958459416, 0.12269018446702672, -0.12785161788696828, -0.10548956505954266, 0.36475284818721854, -0.13706989691633245, -0.19217417753585006, 0.1309012770652771, -0.14774739989281996, -0.15931804133984057, 0.12315839480446733, 0.10703443128453649, 0.14907877584514412, -0.13077073110996382, 0.159239525215842, -0.07742824428208658, 0.15207873770724173, -0.008676786542586658, -0.05565048735993712, 0.1630879982739039, 0.1792221400562836, 0.10876220011192819, 0.21707257806606914, -0.018024538198243015, -0.12644555514840328, -0.3379950523376465, -0.2871701464704845, -0.19411586058002128, 0.1322136589265226, -0.12010537081780216, -0.2390505034962426, 0.38638905188797606, 0.17504100064220635, 0.1805957604361617, 0.1088476551534689, 0.22649391062314744, 0.2802714609095584, -0.061772374051582556, 0.09703647051735417, 0.11597195721190909, 0.2388802357726609, 0.1037047894914513, -0.21185985630702064, 0.04343788937220107, 0.15685165962001876] |
712.1019 | Ab initio Equation of State data for hydrogen, helium, and water and the
internal structure of Jupiter | The equation of state of hydrogen, helium, and water effects interior
structure models of giant planets significantly. We present a new equation of
state data table, LM-REOS, generated by large scale quantum molecular dynamics
simulations for hydrogen, helium, and water in the warm dense matter regime,
i.e.for megabar pressures and temperatures of several thousand Kelvin, and by
advanced chemical methods in the complementary regions. The influence of
LM-REOS on the structure of Jupiter is investigated and compared with
state-of-the-art results within a standard three-layer model consistent with
astrophysical observations of Jupiter. Our new Jupiter models predict an
important impact of mixing effects of helium in hydrogen with respect to an
altered compressibility and immiscibility.
| astro-ph | the equation of state of hydrogen helium and water effects interior structure models of giant planets significantly we present a new equation of state data table lmreos generated by large scale quantum molecular dynamics simulations for hydrogen helium and water in the warm dense matter regime iefor megabar pressures and temperatures of several thousand kelvin and by advanced chemical methods in the complementary regions the influence of lmreos on the structure of jupiter is investigated and compared with stateoftheart results within a standard threelayer model consistent with astrophysical observations of jupiter our new jupiter models predict an important impact of mixing effects of helium in hydrogen with respect to an altered compressibility and immiscibility | [['the', 'equation', 'of', 'state', 'of', 'hydrogen', 'helium', 'and', 'water', 'effects', 'interior', 'structure', 'models', 'of', 'giant', 'planets', 'significantly', 'we', 'present', 'a', 'new', 'equation', 'of', 'state', 'data', 'table', 'lmreos', 'generated', 'by', 'large', 'scale', 'quantum', 'molecular', 'dynamics', 'simulations', 'for', 'hydrogen', 'helium', 'and', 'water', 'in', 'the', 'warm', 'dense', 'matter', 'regime', 'iefor', 'megabar', 'pressures', 'and', 'temperatures', 'of', 'several', 'thousand', 'kelvin', 'and', 'by', 'advanced', 'chemical', 'methods', 'in', 'the', 'complementary', 'regions', 'the', 'influence', 'of', 'lmreos', 'on', 'the', 'structure', 'of', 'jupiter', 'is', 'investigated', 'and', 'compared', 'with', 'stateoftheart', 'results', 'within', 'a', 'standard', 'threelayer', 'model', 'consistent', 'with', 'astrophysical', 'observations', 'of', 'jupiter', 'our', 'new', 'jupiter', 'models', 'predict', 'an', 'important', 'impact', 'of', 'mixing', 'effects', 'of', 'helium', 'in', 'hydrogen', 'with', 'respect', 'to', 'an', 'altered', 'compressibility', 'and', 'immiscibility']] | [-0.061206231142900754, 0.1854004596358496, -0.043566485648370235, 0.026668602863138772, 0.006660944635146542, -0.0667772750766425, 0.07132369986522877, 0.32106876745820045, -0.2196099573027408, -0.3172960538369105, 0.050827384326941935, -0.2930028354095524, -0.08272887334194884, 0.1735288337661411, 0.0261788547525117, 0.054612145203639544, 0.10691865497644533, -0.03155737128282342, -0.06652363687917068, -0.20632923269856787, 0.31334785768852097, 0.10741337871060527, 0.1702764382863646, 0.051795119158270064, 0.07199433306742688, -0.13921525660624498, -0.007801972654354023, -0.01124517288336759, -0.19702405001347265, 0.07333267831423304, 0.194688112608562, 0.06197292005169418, 0.20231191381370942, -0.48963827801574217, -0.29951910761168654, 0.024542956400597303, 0.0867944357246814, 0.10753240442034184, -0.08268890796707158, -0.28713288717788826, 0.029140965310497244, -0.21036433972614377, -0.1565338882348059, -0.04699261988750087, 0.020647687020531873, 0.020805369049572107, -0.24228937077242063, 0.122789710948015, 0.002300614683088242, 0.08860439113586356, -0.12402078967231016, -0.19228167146987593, -0.05664886609986098, 0.05759784539348625, -0.008017958375715176, -0.020283268605309882, 0.19437732817523443, -0.16117854833014703, -0.02504825952315801, 0.44454181457771674, -0.1678274039224019, -0.0808871160179638, 0.24647370265110544, -0.15828832978251994, -0.11786497658804844, 0.19587930381755558, 0.15657444018359998, 0.12190921051558434, -0.12652138118293105, 0.016397417834428905, -0.03653002683003841, 0.20074943205537765, 0.06603481110977825, 0.013917997291540368, 0.27803078989841434, 0.231569138573066, 0.00387695292827853, 0.07673074788895942, -0.15261586987323603, -0.10859053465129252, -0.16885690970280975, -0.13942559000121005, -0.11209068993890756, 0.0017858179155410383, -0.0950100843688951, -0.157273849010827, 0.34096435361782806, 0.15883670024688176, 0.16916808690834922, -0.053107173124883784, 0.3238362259019101, 0.03524686516315693, 0.03559409137488457, 0.0830437161529788, 0.26111211435738624, 0.19238660728411847, 0.0882243460673316, -0.2546952410086401, 0.08295189494495853, -0.005469343808822726] |
712.102 | A Study of the Semileptonic Charm Decays D^0 --> pi^- e^+ nu_e, D^+ -->
pi^0 e^+ nu_e, D^0 --> K^- e^+ nu_e, and D^+ --> barK^0 e^+ nu_e | Using a sample of 1.8 million DDbar meson pairs collected at the psi(3770)
with the CLEO-c detector, we study the semileptonic decays D^0 -> pi^- e^+
nu_e, D^+ -> pi^0 e^+ \nu_e, D^0 -> K^- e^+ \nu_e, and D^+ -> Kbar^0 e^+ nu_e.
For the total branching fractions we find B(D^0 -> pi^- e^+ \nu_e) =
0.299(11)(9)%, B(D^+ -> pi^0 e^+ \nu_e) = 0.373(22)(13)%, B(D^0 -> K^- e^+
nu_e) = 3.56(3)(9)%, and B(D^+ -> Kbar^0 e^+ nu_e) = 8.53(13)(23)%, where the
first error is statistical and the second systematic. In addition, form factors
are studied through fits to the partial branching fractions obtained in five
q^2 ranges. By combining our results with recent unquenched lattice
calculations, we obtain |Vcd| = 0.217(9)(4)(23) and |Vcs| = 1.015(10)(11)(106),
where the final error is theoretical.
| hep-ex | using a sample of 18 million ddbar meson pairs collected at the psi3770 with the cleoc detector we study the semileptonic decays d0 pi e nu_e d pi0 e nu_e d0 k e nu_e and d kbar0 e nu_e for the total branching fractions we find bd0 pi e nu_e 0299119 bd pi0 e nu_e 03732213 bd0 k e nu_e 35639 and bd kbar0 e nu_e 8531323 where the first error is statistical and the second systematic in addition form factors are studied through fits to the partial branching fractions obtained in five q2 ranges by combining our results with recent unquenched lattice calculations we obtain vcd 02179423 and vcs 10151011106 where the final error is theoretical | [['using', 'a', 'sample', 'of', '18', 'million', 'ddbar', 'meson', 'pairs', 'collected', 'at', 'the', 'psi3770', 'with', 'the', 'cleoc', 'detector', 'we', 'study', 'the', 'semileptonic', 'decays', 'd0', 'pi', 'e', 'nu_e', 'd', 'pi0', 'e', 'nu_e', 'd0', 'k', 'e', 'nu_e', 'and', 'd', 'kbar0', 'e', 'nu_e', 'for', 'the', 'total', 'branching', 'fractions', 'we', 'find', 'bd0', 'pi', 'e', 'nu_e', '0299119', 'bd', 'pi0', 'e', 'nu_e', '03732213', 'bd0', 'k', 'e', 'nu_e', '35639', 'and', 'bd', 'kbar0', 'e', 'nu_e', '8531323', 'where', 'the', 'first', 'error', 'is', 'statistical', 'and', 'the', 'second', 'systematic', 'in', 'addition', 'form', 'factors', 'are', 'studied', 'through', 'fits', 'to', 'the', 'partial', 'branching', 'fractions', 'obtained', 'in', 'five', 'q2', 'ranges', 'by', 'combining', 'our', 'results', 'with', 'recent', 'unquenched', 'lattice', 'calculations', 'we', 'obtain', 'vcd', '02179423', 'and', 'vcs', '10151011106', 'where', 'the', 'final', 'error', 'is', 'theoretical']] | [-0.08482582983249033, 0.2223833940183145, -0.03244979449248474, 0.07220175635510324, -0.0022818593466321807, -0.10620933594431595, 0.18050844452331408, 0.24593022810794146, -0.15206967407721095, -0.21138727023000164, -0.16536704970349092, -0.45274126892244176, 0.018890790200592682, 0.10216210588363797, 0.08222537387544955, 0.11791592427263302, 0.15586716444775967, 0.023437977851634578, -0.05822160105786419, -0.2131671748835028, 0.1532588416843542, 0.010843838652363047, 0.16332004019308702, 0.03534093763015075, -0.07048566600756853, -0.007261706341523677, -0.14635622951235355, -0.11630022784395676, -0.26446932982902843, 0.0009937649759064829, 0.2707845146880053, 0.14045257931242563, 0.0363615768229855, -0.27959443285330315, 0.008958450119410242, 0.2217951125473649, 0.1396337005530118, -0.015803056124631048, 0.060783412806423645, -0.4076084999417487, 0.21067086597239332, -0.19679292899672873, 0.0012771413737157542, -0.06521716088614735, 0.16373413010400586, -0.12269148158416751, -0.44480500771065373, 0.08492054502546255, -0.049974944234626104, 0.09534113793824872, 0.0005526705520294074, -0.38786719579781803, 0.007828472570898677, -0.01564459177149859, 0.09077938426136305, 0.17842622082805196, 0.1488943884240663, -0.05336374668487614, -0.17905905146575865, 0.37115320274356883, -0.059638590701589625, -0.15987920818640436, 0.09869687891166125, -0.2802657293255574, -0.10088227296364494, 0.2697173167585528, 0.2317632045181069, 0.02599603191629285, -0.1884804161714523, 0.19780906595614006, -0.0661246947035709, 0.1322013690888915, 0.13061947923103748, 0.004753416762728843, 0.08166070884077012, 0.19016528192774526, -0.014348933755952333, -0.0438895078571347, -0.19563647733385942, 0.06974526334254603, -0.40986814260707305, -0.10906400760203334, -0.010243676415744371, 0.2068678074366679, -0.01043957383990346, 0.002652126073371619, 0.30598409221732126, -0.07428250596110177, 0.37454841329183963, -0.0004855731053144804, 0.2648287001398525, 0.07145040701496848, -0.0962739839430599, 0.07142947948679128, 0.27224386752017643, 0.22031763821515987, 0.12146576437018146, -0.35756781523299913, 0.0015025508484021494, 0.011835161663059677] |
712.1021 | A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity | We show that a class of type IIA vacua recently found within the N=4
effective approach corresponds to compactification on Ads_4 \times S^3 \times
S^3/Z_2^3. The results obtained using the effective method completely match the
general ten-dimensional analysis for the existence of N=1 warped
compactifications on Ads_4 \times M_6. In particular, we verify that the
internal metric is nearly-Kahler and that for specific values of the parameters
the Bianchi identity of the RR 2-form is fulfilled without sources. For another
range of parameters, including the massless case, the Bianchi identity is
satisfied when D6-branes are introduced. Solving the tadpole cancellation
conditions in D=4 we are able to find examples of appropriate sets of branes.
In the second part of this paper we describe how an example with internal space
CP^3 but with non nearly-Kahler metric fits into the general analysis of flux
vacua.
| hep-th | we show that a class of type iia vacua recently found within the n4 effective approach corresponds to compactification on ads_4 times s3 times s3z_23 the results obtained using the effective method completely match the general tendimensional analysis for the existence of n1 warped compactifications on ads_4 times m_6 in particular we verify that the internal metric is nearlykahler and that for specific values of the parameters the bianchi identity of the rr 2form is fulfilled without sources for another range of parameters including the massless case the bianchi identity is satisfied when d6branes are introduced solving the tadpole cancellation conditions in d4 we are able to find examples of appropriate sets of branes in the second part of this paper we describe how an example with internal space cp3 but with non nearlykahler metric fits into the general analysis of flux vacua | [['we', 'show', 'that', 'a', 'class', 'of', 'type', 'iia', 'vacua', 'recently', 'found', 'within', 'the', 'n4', 'effective', 'approach', 'corresponds', 'to', 'compactification', 'on', 'ads_4', 'times', 's3', 'times', 's3z_23', 'the', 'results', 'obtained', 'using', 'the', 'effective', 'method', 'completely', 'match', 'the', 'general', 'tendimensional', 'analysis', 'for', 'the', 'existence', 'of', 'n1', 'warped', 'compactifications', 'on', 'ads_4', 'times', 'm_6', 'in', 'particular', 'we', 'verify', 'that', 'the', 'internal', 'metric', 'is', 'nearlykahler', 'and', 'that', 'for', 'specific', 'values', 'of', 'the', 'parameters', 'the', 'bianchi', 'identity', 'of', 'the', 'rr', '2form', 'is', 'fulfilled', 'without', 'sources', 'for', 'another', 'range', 'of', 'parameters', 'including', 'the', 'massless', 'case', 'the', 'bianchi', 'identity', 'is', 'satisfied', 'when', 'd6branes', 'are', 'introduced', 'solving', 'the', 'tadpole', 'cancellation', 'conditions', 'in', 'd4', 'we', 'are', 'able', 'to', 'find', 'examples', 'of', 'appropriate', 'sets', 'of', 'branes', 'in', 'the', 'second', 'part', 'of', 'this', 'paper', 'we', 'describe', 'how', 'an', 'example', 'with', 'internal', 'space', 'cp3', 'but', 'with', 'non', 'nearlykahler', 'metric', 'fits', 'into', 'the', 'general', 'analysis', 'of', 'flux', 'vacua']] | [-0.14393117387359305, 0.08971368846031394, -0.027356156088988965, 0.10407058660327916, -0.09275418306982905, -0.14030402213741672, -0.0040370772230360185, 0.32202241895064504, -0.10970132139472055, -0.26081600917903314, 0.13677253672430081, -0.2552764131949926, -0.16619804519897616, 0.15967272941521565, -0.10657687586384602, -0.03546574752206806, 0.02432366306352442, 0.050115703146012734, -0.11293369707566174, -0.3103898889737689, 0.3901389585447196, -0.016028295928189322, 0.2898798753920628, -0.0005891299773742195, 0.12762395171186244, -0.051145620506361754, -0.012202721148152167, 0.011968320310829063, -0.14944908488946632, 0.11343970612301425, 0.20686239239425255, 0.103471954549912, 0.08243241465427506, -0.43049568778664715, -0.20598585181541637, 0.11961384921032987, 0.17602637643978314, 0.11635182926129602, 0.014063071641533203, -0.2845882159300332, 0.09889433610016926, -0.1356267067226647, -0.1802609626328389, -0.09671722676909962, 0.03340968792982609, -0.06432212254321071, -0.2788417777013768, 0.058574551432377095, 0.015395570429973304, 0.016492420492667546, -0.11163493224032696, -0.06762569838774908, -0.06726656563934201, 0.08545247569264562, 0.1425334959713952, 0.04582130481672644, 0.09753878283130765, -0.1389482750698373, -0.09426334841852405, 0.36961074657803794, -0.06973317461940919, -0.24678227819115395, 0.11371045129399904, -0.11720769240481543, -0.19463229130520682, 0.10638479685122279, 0.06794797087048876, 0.2011422328946089, -0.1442156431719564, 0.21674230336301803, -0.03042146110002109, 0.12594376728725684, 0.0967114017751645, 0.03357736252881193, 0.18644644386908957, 0.10177256748027785, 0.05990116890605119, 0.1445279432129456, -0.04408291462664558, -0.1060166018949428, -0.43272284009087253, -0.1266343403791248, -0.08009653992157324, 0.14386852492388127, -0.17264715773961425, -0.1570620616651173, 0.3823753190423611, 0.08670844365754508, 0.160788092053902, 0.0629793457427836, 0.1884982371784773, 0.08559247867112428, 0.04840793370098715, 0.07799659782822217, 0.23298368680382697, 0.11709492384869291, 0.06289910511930455, -0.20754887180547985, -0.11388701325754674, 0.15911975742357087] |
712.1022 | Theoretical Interest in B-Meson Physics at the B factories, Tevatron and
the LHC | We review the salient features of $B$-meson physics, with particular emphasis
on the measurements carried out at the $B$-factories and Tevatron, theoretical
progress in understanding these measurements in the context of the standard
model, and anticipation at the LHC. Topics discussed specifically are the
current status of the Cabibbo-Kobayashi-Maskawa matrix, the CP-violating
phases, rare radiative and semileptonic decays, and some selected non-leptonic
two-body decays of the $B$ mesons.
| hep-ph hep-ex hep-lat | we review the salient features of bmeson physics with particular emphasis on the measurements carried out at the bfactories and tevatron theoretical progress in understanding these measurements in the context of the standard model and anticipation at the lhc topics discussed specifically are the current status of the cabibbokobayashimaskawa matrix the cpviolating phases rare radiative and semileptonic decays and some selected nonleptonic twobody decays of the b mesons | [['we', 'review', 'the', 'salient', 'features', 'of', 'bmeson', 'physics', 'with', 'particular', 'emphasis', 'on', 'the', 'measurements', 'carried', 'out', 'at', 'the', 'bfactories', 'and', 'tevatron', 'theoretical', 'progress', 'in', 'understanding', 'these', 'measurements', 'in', 'the', 'context', 'of', 'the', 'standard', 'model', 'and', 'anticipation', 'at', 'the', 'lhc', 'topics', 'discussed', 'specifically', 'are', 'the', 'current', 'status', 'of', 'the', 'cabibbokobayashimaskawa', 'matrix', 'the', 'cpviolating', 'phases', 'rare', 'radiative', 'and', 'semileptonic', 'decays', 'and', 'some', 'selected', 'nonleptonic', 'twobody', 'decays', 'of', 'the', 'b', 'mesons']] | [-0.031587316640926635, 0.21815599375130498, -0.025038887568585137, 0.09092969825381741, -0.06357402546221719, -0.1461432224879151, 0.0840646002393709, 0.27224603528156877, -0.21303549367824898, -0.18903027757016175, 0.035819496565690154, -0.40914966103703004, -0.040682054645217514, 0.12153241110568427, 0.10999373877968859, 0.14661214723909163, 0.14507156085935147, 0.005135957836447393, -0.14037272625993116, -0.25022635603433147, 0.2690039067186744, 0.031979464946369475, 0.21364205948296278, 0.14215722882791476, -0.070902749981649, -0.012386088355389588, -0.16088871457203127, -0.06756642757853329, -0.17667012076879687, 0.056621495309039295, 0.2341412744101356, 0.15077678902376004, 0.15530734646188862, -0.4294380904038382, -0.058066255412995815, 0.10310697843156316, 0.12862593489904506, 0.09997567337225466, -0.08194449862554286, -0.3992435044663794, 0.04419173898093183, -0.15689216250115456, -0.04400242134836256, -0.10362795288058217, 0.024157844446188605, -0.07632469543365433, -0.2963389050051132, 0.03959917149725644, -0.056378080098725414, 0.07873728115673122, 0.029457750228603426, -0.29569118873983186, 0.0403615563409403, 0.057091461268582326, 0.15708664579912746, 0.04447471037993262, 0.18156258948832094, -0.23255603048977824, -0.1779266594624941, 0.41954428099972363, -0.02749888022834271, -0.13250759978408871, 0.1805106770582771, -0.26350004995359033, -0.2153570345150964, 0.06108247307950959, 0.24820583968368523, 0.04982646817670149, -0.206576031016405, 0.13261773269144161, -0.02703331605366924, 0.06367409688091892, -0.0169614814564257, 0.1336297146181631, 0.2572785429724985, 0.25350256409044103, -0.10899248997242574, 0.011193480027620406, -0.10428177556433879, -0.07498039496952996, -0.4551628869684303, -0.08266729100004715, -0.07035267496865023, 0.007856379810939817, -0.016824455711792002, -0.03421237594995867, 0.46326905839583454, 0.132287389056086, 0.24970334107467138, -0.043597799732678515, 0.32407856234075394, 0.023267535489353845, 0.009588776845382252, 0.039009676588808787, 0.35925462773722006, 0.20304825107621796, 0.18811078441521042, -0.32802998773096237, 0.07545893510584445, 0.06466165117522263] |
712.1023 | Charged Particle Stopping Power Effects on Ignition: Some Results from
an Exact Calculation | A completely rigorous first-principles calculation of the charged particle
stopping power has recently been performed by Brown, Preston, and Singleton
(BPS). This calculation is exact to leading and next-to-leading order in the
plasma number density, including an exact treatment of two-body quantum
scattering. The BPS calculation is therefore extremely accurate in the plasma
regime realized during the ignition and burn of an inertial confinement fusion
capsule. For deuterium-tritium fusion, the 3.5 MeV alpha particle range tends
to be 20-30% longer than most models in the literature have predicted, and the
energy deposition into the ions tends to be smaller. Preliminary numerical
simulations indicate that this increases the rho-R required to achieve
ignition.
| physics.plasm-ph | a completely rigorous firstprinciples calculation of the charged particle stopping power has recently been performed by brown preston and singleton bps this calculation is exact to leading and nexttoleading order in the plasma number density including an exact treatment of twobody quantum scattering the bps calculation is therefore extremely accurate in the plasma regime realized during the ignition and burn of an inertial confinement fusion capsule for deuteriumtritium fusion the 35 mev alpha particle range tends to be 2030 longer than most models in the literature have predicted and the energy deposition into the ions tends to be smaller preliminary numerical simulations indicate that this increases the rhor required to achieve ignition | [['a', 'completely', 'rigorous', 'firstprinciples', 'calculation', 'of', 'the', 'charged', 'particle', 'stopping', 'power', 'has', 'recently', 'been', 'performed', 'by', 'brown', 'preston', 'and', 'singleton', 'bps', 'this', 'calculation', 'is', 'exact', 'to', 'leading', 'and', 'nexttoleading', 'order', 'in', 'the', 'plasma', 'number', 'density', 'including', 'an', 'exact', 'treatment', 'of', 'twobody', 'quantum', 'scattering', 'the', 'bps', 'calculation', 'is', 'therefore', 'extremely', 'accurate', 'in', 'the', 'plasma', 'regime', 'realized', 'during', 'the', 'ignition', 'and', 'burn', 'of', 'an', 'inertial', 'confinement', 'fusion', 'capsule', 'for', 'deuteriumtritium', 'fusion', 'the', '35', 'mev', 'alpha', 'particle', 'range', 'tends', 'to', 'be', '2030', 'longer', 'than', 'most', 'models', 'in', 'the', 'literature', 'have', 'predicted', 'and', 'the', 'energy', 'deposition', 'into', 'the', 'ions', 'tends', 'to', 'be', 'smaller', 'preliminary', 'numerical', 'simulations', 'indicate', 'that', 'this', 'increases', 'the', 'rhor', 'required', 'to', 'achieve', 'ignition']] | [-0.031690132245005644, 0.21310876611122304, -0.07703946803979177, 0.0664912992922057, 0.001523857630413009, -0.1276266381651762, 0.02839530653519822, 0.3479816658821489, -0.17255015339157712, -0.32847956739299533, 0.023398279420299723, -0.28334835335512515, -0.011100124700793199, 0.16523433871874918, -0.006368854425090831, 0.10498026910292017, 0.07075143282626024, 0.025229384049972787, -0.0532004925844376, -0.2109984397466178, 0.22297143056597893, 0.1747034126300215, 0.25312471356508986, 0.1118359090427735, 0.028854476317064837, -0.03916874299881913, -0.023815562545288622, -0.009634329396898724, -0.15615668130242608, 0.039981159527087584, 0.24231917314776702, 0.024066693326208873, 0.25347059932287913, -0.4575423993103738, -0.2395613918186947, 0.0763903126540494, 0.21213432748170039, 0.14162119155350542, -0.066677885046894, -0.2114942371928399, 0.1048345895791759, -0.25468519483027713, -0.1279930926934217, -0.06754688671207987, 0.075441642529248, -0.005902878100252045, -0.3230587189817535, 0.07971578125372096, -0.000135098779407729, 0.010866491099087787, -0.08554485139237451, -0.1371328880153929, -0.014856168264356841, 0.0674089028211061, 0.06511095621473421, 0.05817014239229528, 0.19230329428267265, -0.12968608422254743, -0.05784221825056842, 0.3814984760247171, -0.007407561451405594, -0.1383359794188956, 0.18454440720129892, -0.15153202841507404, -0.08536868510132731, 0.22609132777766458, 0.13334079160995316, 0.14688749704042234, -0.12038145646718997, 0.042633461863650676, -0.008747062263604935, 0.16355172006712695, 0.11777670552588201, -0.0035854372794606854, 0.1863861502539034, 0.193184144343052, 0.01937549168152535, 0.08453521195458182, -0.119083933827434, -0.1115974371849526, -0.2879488329552779, -0.12564249695333274, -0.1461357037935938, 0.054158773819965846, -0.06656779362102887, -0.14479492641735955, 0.3495206041012092, 0.14025509285420412, 0.16403030392497644, 0.013440787817151951, 0.28662813665661296, 0.16338885909811193, 0.057474815053865314, 0.08478499062974672, 0.3010106429989849, 0.16620186838918016, 0.10072915119651173, -0.27205435776808634, 0.015560975838785194, 0.07689703177103573] |
712.1024 | Opinion Dynamics in an Open Community | We here discuss the process of opinion formation in an open community where
agents are made to interact and consequently update their beliefs. New actors
(birth) are assumed to replace individuals that abandon the community (deaths).
This dynamics is simulated in the framework of a simplified model that accounts
for mutual affinity between agents. A rich phenomenology is presented and
discussed with reference to the original (closed group) setting. Numerical
findings are supported by analytical calculations.
| physics.soc-ph | we here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs new actors birth are assumed to replace individuals that abandon the community deaths this dynamics is simulated in the framework of a simplified model that accounts for mutual affinity between agents a rich phenomenology is presented and discussed with reference to the original closed group setting numerical findings are supported by analytical calculations | [['we', 'here', 'discuss', 'the', 'process', 'of', 'opinion', 'formation', 'in', 'an', 'open', 'community', 'where', 'agents', 'are', 'made', 'to', 'interact', 'and', 'consequently', 'update', 'their', 'beliefs', 'new', 'actors', 'birth', 'are', 'assumed', 'to', 'replace', 'individuals', 'that', 'abandon', 'the', 'community', 'deaths', 'this', 'dynamics', 'is', 'simulated', 'in', 'the', 'framework', 'of', 'a', 'simplified', 'model', 'that', 'accounts', 'for', 'mutual', 'affinity', 'between', 'agents', 'a', 'rich', 'phenomenology', 'is', 'presented', 'and', 'discussed', 'with', 'reference', 'to', 'the', 'original', 'closed', 'group', 'setting', 'numerical', 'findings', 'are', 'supported', 'by', 'analytical', 'calculations']] | [-0.11367556455202009, 0.11769866784532879, -0.08911621187029309, 0.11427967410813117, -0.1238875961188521, -0.15379521543601235, 0.09844392158189103, 0.4306944634422268, -0.23753117100874843, -0.2799072070782514, 0.041301748228234875, -0.2745854843861276, -0.1621833423605973, 0.11497493572288046, -0.07462188363761495, -0.03620237495603138, 0.09190608650494955, 0.07031281465223353, 0.04372455793016247, -0.28896596786982726, 0.2992107397263968, 0.08137100158063204, 0.23385198347540082, 0.024283464593616754, 0.06298501787559392, -0.0054812055742858275, -0.0643540819751491, 0.008440371118731013, -0.16081048717425897, 0.14134358471308492, 0.27722210810047965, 0.1661729819484447, 0.3242020105183321, -0.4800512639217471, -0.1990001259959842, 0.058578922719645654, 0.13304458745436645, 0.12326505838427693, -0.06430347470297038, -0.3367572448118345, 0.06320397474950082, -0.20196633462451005, -0.15159585891217975, -0.06167367910721192, 0.015501705304670491, 0.05292453983144553, -0.2666647169788025, 0.05228117591162261, 0.011851594832382704, 0.04871258483255683, -0.08705203070329796, -0.08429688729474467, -0.020868013294315653, 0.15977562065266906, 0.06129411472379855, -0.019240415912415636, 0.17246602532625394, -0.12133379647275433, -0.1538542032082516, 0.37767038263968733, -0.013104483178865752, -0.21176501312048027, 0.2226268390567336, -0.11599003979752429, -0.13873169507745556, 0.07290960485605817, 0.19686112316374324, 0.05230106554288221, -0.2102359145463101, 0.03707081913843898, -0.04963910686293323, 0.14678950955031292, 0.005642857102334108, -0.03338909214117417, 0.19977939821853252, 0.20077425639963048, 0.0015961776891919343, 0.06981174940684516, 0.036046426957718244, -0.2305476159028905, -0.27075356616957214, -0.1366967558676965, -0.15327591223544196, -0.006945580767933279, -0.041667290417535696, -0.12735133895675013, 0.35410132528723853, 0.1876554125307226, 0.17966852158209995, 0.056501861453350434, 0.24778202614796005, 0.04043727221065446, 0.005284181832011152, 0.08786008489857379, 0.19993304482072985, 0.1081495561520569, 0.052527641122364195, -0.16927484408523397, 0.1505658942960987, -0.005693594860770789] |
712.1025 | Some questions to experimental gravity | The interpretations of solutions of Einstein field's equations led to the
prediction and the observation of physical phenomena which confirm the
important role of general relativity, as well as other relativistic theories in
physics. In this connection, the following questions are of interest and
importance: whether it is possible to solve the gauge problem and of its
physical significance, which one of the solutions gives the right description
of the observed values, how to clarify the physical meaning of the coordinates
which is unknown a priori, and why applying the same physical requirements in
different gauge fixing, we obtain different linear approximations. We discuss
some of the problems involved and point out several open problems. The paper is
written mainly for pedagogical purposes.
| gr-qc | the interpretations of solutions of einstein fields equations led to the prediction and the observation of physical phenomena which confirm the important role of general relativity as well as other relativistic theories in physics in this connection the following questions are of interest and importance whether it is possible to solve the gauge problem and of its physical significance which one of the solutions gives the right description of the observed values how to clarify the physical meaning of the coordinates which is unknown a priori and why applying the same physical requirements in different gauge fixing we obtain different linear approximations we discuss some of the problems involved and point out several open problems the paper is written mainly for pedagogical purposes | [['the', 'interpretations', 'of', 'solutions', 'of', 'einstein', 'fields', 'equations', 'led', 'to', 'the', 'prediction', 'and', 'the', 'observation', 'of', 'physical', 'phenomena', 'which', 'confirm', 'the', 'important', 'role', 'of', 'general', 'relativity', 'as', 'well', 'as', 'other', 'relativistic', 'theories', 'in', 'physics', 'in', 'this', 'connection', 'the', 'following', 'questions', 'are', 'of', 'interest', 'and', 'importance', 'whether', 'it', 'is', 'possible', 'to', 'solve', 'the', 'gauge', 'problem', 'and', 'of', 'its', 'physical', 'significance', 'which', 'one', 'of', 'the', 'solutions', 'gives', 'the', 'right', 'description', 'of', 'the', 'observed', 'values', 'how', 'to', 'clarify', 'the', 'physical', 'meaning', 'of', 'the', 'coordinates', 'which', 'is', 'unknown', 'a', 'priori', 'and', 'why', 'applying', 'the', 'same', 'physical', 'requirements', 'in', 'different', 'gauge', 'fixing', 'we', 'obtain', 'different', 'linear', 'approximations', 'we', 'discuss', 'some', 'of', 'the', 'problems', 'involved', 'and', 'point', 'out', 'several', 'open', 'problems', 'the', 'paper', 'is', 'written', 'mainly', 'for', 'pedagogical', 'purposes']] | [-0.10798029029151289, 0.07720715592698596, -0.09163080519481706, 0.1233340826782784, -0.1155921287145617, -0.1292955070597733, 0.02569168659657755, 0.2952529162403226, -0.2693191149983767, -0.33087348065725186, 0.12393625279059406, -0.22782902829197607, -0.16286800020351644, 0.18573241423800346, -0.051122617377801154, 0.06042029995840834, 0.006816694473211721, 0.052721573774346976, -0.09507369687752344, -0.25572952866266535, 0.34726147634370963, 0.05103550967192504, 0.23259426090237875, 0.08652871815730037, 0.11978546403181868, -0.03681893610372776, -0.05663806985594272, 0.007745181552013307, -0.12465761717583045, 0.1095074922228762, 0.2759849083708312, 0.15626020752162317, 0.2808592514006224, -0.4237348669761322, -0.21454892461225997, 0.0647638828945119, 0.12383831536957646, 0.10841549470797332, -0.02989296685919408, -0.25203704704507823, 0.03281721762358779, -0.10467223653463813, -0.18142748507671058, -0.048001044721350195, 0.03254327094191837, -0.0017007826335304153, -0.20604957701880636, 0.04274152511564212, 0.06082090653471527, 0.03486506392558416, -0.08552670306280043, -0.12239640122620253, 0.039994678022794244, 0.1590830238263418, 0.13998578407052087, 0.010879869440313035, 0.08542837558798795, -0.16854679477931098, -0.12481771251262445, 0.474646257123024, 0.02192984551297334, -0.2427413374549005, 0.2143295853213233, -0.11951053741849899, -0.16665570232903631, 0.04085148568643727, 0.1415666234547015, 0.11407188913686489, -0.16350693449499162, 0.10432639779150107, -0.036174754756010646, 0.10438808418145001, 0.06088144670248153, 0.07657856043149922, 0.22634448039504448, 0.11898040602634835, 0.008347585710235, 0.10056489617876117, -0.007055883373444279, -0.1267255688302893, -0.36961473132354944, -0.15728953780040403, -0.11873177716099634, 0.06442128916138999, -0.0713976363312383, -0.1550440770740492, 0.42339684894475027, 0.22950348279597918, 0.18719508048389258, -0.023683607312320634, 0.24271111811200777, 0.11759429510183088, 0.005370118551626347, 0.01199924627440126, 0.2643315213994119, 0.16420633214851463, 0.10502546991986351, -0.20505154124892702, 0.03827983577834154, 0.06123113634473667] |
712.1026 | Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String
Backgrounds | We propose a universal geometric formulation of gauged supergravity in terms
of a twisted doubled torus. We focus on string theory (M-theory) reductions
with generalized Scherk-Schwarz twists residing in the O(n,n) (E_{7(7)})
duality group. The set of doubled geometric fluxes, associated with the duality
twists and identified naturally with the embedding tensor of gauged
supergravity, captures all known fluxes, i.e. physical form fluxes, ordinary
geometric fluxes, as well as their non-geometric counterparts. Furthermore, we
propose a prescription for obtaining the effective geometry embedded in the
string theory twisted doubled torus or in the M-theory megatorus and apply it
for several models of geometric and non-geometric flux compactifications.
| hep-th | we propose a universal geometric formulation of gauged supergravity in terms of a twisted doubled torus we focus on string theory mtheory reductions with generalized scherkschwarz twists residing in the onn e_77 duality group the set of doubled geometric fluxes associated with the duality twists and identified naturally with the embedding tensor of gauged supergravity captures all known fluxes ie physical form fluxes ordinary geometric fluxes as well as their nongeometric counterparts furthermore we propose a prescription for obtaining the effective geometry embedded in the string theory twisted doubled torus or in the mtheory megatorus and apply it for several models of geometric and nongeometric flux compactifications | [['we', 'propose', 'a', 'universal', 'geometric', 'formulation', 'of', 'gauged', 'supergravity', 'in', 'terms', 'of', 'a', 'twisted', 'doubled', 'torus', 'we', 'focus', 'on', 'string', 'theory', 'mtheory', 'reductions', 'with', 'generalized', 'scherkschwarz', 'twists', 'residing', 'in', 'the', 'onn', 'e_77', 'duality', 'group', 'the', 'set', 'of', 'doubled', 'geometric', 'fluxes', 'associated', 'with', 'the', 'duality', 'twists', 'and', 'identified', 'naturally', 'with', 'the', 'embedding', 'tensor', 'of', 'gauged', 'supergravity', 'captures', 'all', 'known', 'fluxes', 'ie', 'physical', 'form', 'fluxes', 'ordinary', 'geometric', 'fluxes', 'as', 'well', 'as', 'their', 'nongeometric', 'counterparts', 'furthermore', 'we', 'propose', 'a', 'prescription', 'for', 'obtaining', 'the', 'effective', 'geometry', 'embedded', 'in', 'the', 'string', 'theory', 'twisted', 'doubled', 'torus', 'or', 'in', 'the', 'mtheory', 'megatorus', 'and', 'apply', 'it', 'for', 'several', 'models', 'of', 'geometric', 'and', 'nongeometric', 'flux', 'compactifications']] | [-0.15780150824454878, 0.12537915439713956, -0.025930125499144197, 0.17828646691445754, -0.11892541808533078, -0.1446496567223221, 0.00906140447532723, 0.31526960279871624, -0.18790811901244353, -0.33226046997192754, 0.10308235102631855, -0.21166439137403975, -0.1935290199515568, 0.1279261718209798, -0.1855025897099074, -0.005176146317027368, -0.056415041330938206, 0.03189174660463941, -0.1576565529641537, -0.25409511271600593, 0.3451167432995478, -0.018228866165407212, 0.2797252300177824, -0.021422092877504118, 0.14141876067755357, -0.028684040865386434, -0.04705982739632984, 0.03403387332053961, -0.11595472103678885, 0.19382161737577813, 0.21079240031343394, 0.05771875040131217, -0.00305792742259449, -0.47964307465502676, -0.26463898497124044, 0.08203158988112162, 0.1670263203932851, 0.09168279363294923, 0.01297282173961647, -0.23692684774374906, 0.011001400719836072, -0.18980015362481112, -0.15444317417008416, -0.10037326758270557, 0.022077225363936345, -0.07198495040032661, -0.18267851327282358, 0.03902099693478481, 0.032923784512226946, 0.056323642385596374, -0.0897843938865611, -0.052951988619137205, -0.12122361639619998, 0.05183123637052288, 0.10267593764989935, 0.06235753166278438, 0.12931803832234778, -0.1903597428990563, -0.17882071544398676, 0.36866998950124913, -0.052293966234362915, -0.2502232619719404, 0.10683111834146504, -0.0729363100638367, -0.2082990797957019, 0.12655504208216267, 0.07778929933721095, 0.1828194586823712, -0.0807729696565009, 0.20451832839061576, -0.07898456874338664, 0.04201322820318757, 0.07710837187104912, 0.07412184579825064, 0.26400989661309515, 0.08959189521254234, 0.0401169744985758, 0.17320302062017737, -0.04566965526121423, -0.11755022700471839, -0.4515195645497374, -0.10374977429098678, -0.04693493910050371, 0.1907644587885237, -0.1562650616953143, -0.20091780536931078, 0.371612195617449, 0.04263404871881852, 0.1935890624041555, 0.0951766496878952, 0.17847902995516668, 0.0865526298416025, 0.10124294253127684, 0.06998990339618001, 0.1933626988024082, 0.20098030727954125, 0.03085841404994563, -0.2270541279884231, -0.19960262179418625, 0.25314955426081315] |
712.1027 | Kernels and Ensembles: Perspectives on Statistical Learning | Since their emergence in the 1990's, the support vector machine and the
AdaBoost algorithm have spawned a wave of research in statistical machine
learning. Much of this new research falls into one of two broad categories:
kernel methods and ensemble methods. In this expository article, I discuss the
main ideas behind these two types of methods, namely how to transform linear
algorithms into nonlinear ones by using kernel functions, and how to make
predictions with an ensemble or a collection of models rather than a single
model. I also share my personal perspectives on how these ideas have influenced
and shaped my own research. In particular, I present two recent algorithms that
I have invented with my collaborators: LAGO, a fast kernel algorithm for
unbalanced classification and rare target detection; and Darwinian evolution in
parallel universes, an ensemble method for variable selection.
| stat.ME stat.ML | since their emergence in the 1990s the support vector machine and the adaboost algorithm have spawned a wave of research in statistical machine learning much of this new research falls into one of two broad categories kernel methods and ensemble methods in this expository article i discuss the main ideas behind these two types of methods namely how to transform linear algorithms into nonlinear ones by using kernel functions and how to make predictions with an ensemble or a collection of models rather than a single model i also share my personal perspectives on how these ideas have influenced and shaped my own research in particular i present two recent algorithms that i have invented with my collaborators lago a fast kernel algorithm for unbalanced classification and rare target detection and darwinian evolution in parallel universes an ensemble method for variable selection | [['since', 'their', 'emergence', 'in', 'the', '1990s', 'the', 'support', 'vector', 'machine', 'and', 'the', 'adaboost', 'algorithm', 'have', 'spawned', 'a', 'wave', 'of', 'research', 'in', 'statistical', 'machine', 'learning', 'much', 'of', 'this', 'new', 'research', 'falls', 'into', 'one', 'of', 'two', 'broad', 'categories', 'kernel', 'methods', 'and', 'ensemble', 'methods', 'in', 'this', 'expository', 'article', 'i', 'discuss', 'the', 'main', 'ideas', 'behind', 'these', 'two', 'types', 'of', 'methods', 'namely', 'how', 'to', 'transform', 'linear', 'algorithms', 'into', 'nonlinear', 'ones', 'by', 'using', 'kernel', 'functions', 'and', 'how', 'to', 'make', 'predictions', 'with', 'an', 'ensemble', 'or', 'a', 'collection', 'of', 'models', 'rather', 'than', 'a', 'single', 'model', 'i', 'also', 'share', 'my', 'personal', 'perspectives', 'on', 'how', 'these', 'ideas', 'have', 'influenced', 'and', 'shaped', 'my', 'own', 'research', 'in', 'particular', 'i', 'present', 'two', 'recent', 'algorithms', 'that', 'i', 'have', 'invented', 'with', 'my', 'collaborators', 'lago', 'a', 'fast', 'kernel', 'algorithm', 'for', 'unbalanced', 'classification', 'and', 'rare', 'target', 'detection', 'and', 'darwinian', 'evolution', 'in', 'parallel', 'universes', 'an', 'ensemble', 'method', 'for', 'variable', 'selection']] | [-0.008045782177695925, 0.07456322936656799, -0.12977495145472423, 0.07030943902471745, -0.10454800538062839, -0.20101959032701774, 0.024834387089637384, 0.4263148704465006, -0.25189288452097125, -0.27585044298583355, 0.08684948142076855, -0.25861806360165207, -0.18763026074689984, 0.19956703793952688, -0.09465940078904092, 0.014883133528662294, 0.09027777167371619, 0.009134564902895773, -0.049773380727651466, -0.32224322931552435, 0.3402722363465164, 0.05852769651043583, 0.313034356755375, -0.013254407186612067, 0.089525490285973, -0.0026916971423623847, -0.10305021933122525, 0.004813969295150535, -0.09207770179713869, 0.1900844668549761, 0.2586560936502075, 0.2479266425148702, 0.3879583923303535, -0.42984447208016746, -0.1861738238457433, 0.07937352792655027, 0.15879472746500667, 0.10592388261222727, -0.0570713606159675, -0.2945211342155514, 0.029283553732454146, -0.17742449433799393, -0.08044388393451735, -0.09254766737674953, 0.03718495235817743, 0.04371675584976837, -0.1758232465026979, -0.006972851840210226, 0.11818520348309211, 0.0825382110885751, -0.03977823561765778, -0.17687098557969005, 0.10436497293051962, 0.08305172332477244, 0.07276633055142823, 0.033283405404367396, 0.11006233430939766, -0.1408496832698059, -0.1818642723439655, 0.3366330284559706, -0.041781977377852435, -0.17044643459933428, 0.22043990985241155, -0.05551955144865517, -0.19562601713253788, 0.07011707737823804, 0.2287649285977417, 0.11144457115385105, -0.15127171110361814, 0.029829034635069137, -0.00336546090447498, 0.08723099362498647, 0.015519392912761427, 0.004349371139615984, 0.22073779484867054, 0.172594082592593, -0.005066305257930932, 0.0830989502108833, -0.04916128665159627, -0.12309136623057576, -0.25459505134904886, -0.1423331580602754, -0.1590482215462646, 0.0075832290551748165, -0.025630508502986295, -0.16659509828625718, 0.42585634937982114, 0.19660525713575033, 0.19997930264552977, 0.02107355307499078, 0.3058645596799874, 0.04392647646485605, 0.057510093305404235, 0.10237572849301857, 0.18740574011421748, 0.11225887469809608, 0.13769659397034892, -0.14229642176339863, 0.04261884001464072, 0.07730129059128674] |
712.1028 | Perturbations of Schwarzschild Black Holes in Chern-Simons Modified
Gravity | We study perturbations of a Schwarzschild black hole in Chern-Simons modified
gravity. We begin by showing that Birkhoff's theorem holds for a wide family of
Chern-Simons coupling functions, a scalar field present in the theory that
controls the strength of the Chern-Simons correction to the Einstein-Hilbert
action. After decomposing the perturbations in spherical harmonics, we study
the linearized modified field equations and find that axial and polar modes are
coupled, in contrast to general relativity. The divergence of the modified
equations leads to the Pontryagin constraint, which forces the vanishing of the
Cunningham-Price-Moncrief master function associated with axial modes. We
analyze the structure of these equations and find that the appearance of the
Pontryagin constraint yields an overconstrained system that does not allow for
generic black hole oscillations. We illustrate this situation by studying the
case characterized by a canonical choice of the coupling function and
pure-parity perturbative modes. We end with a discussion of how to extend
Chern-Simons modified gravity to bypass the Pontryagin constraint and the
suppression of perturbations.
| gr-qc astro-ph hep-th | we study perturbations of a schwarzschild black hole in chernsimons modified gravity we begin by showing that birkhoffs theorem holds for a wide family of chernsimons coupling functions a scalar field present in the theory that controls the strength of the chernsimons correction to the einsteinhilbert action after decomposing the perturbations in spherical harmonics we study the linearized modified field equations and find that axial and polar modes are coupled in contrast to general relativity the divergence of the modified equations leads to the pontryagin constraint which forces the vanishing of the cunninghampricemoncrief master function associated with axial modes we analyze the structure of these equations and find that the appearance of the pontryagin constraint yields an overconstrained system that does not allow for generic black hole oscillations we illustrate this situation by studying the case characterized by a canonical choice of the coupling function and pureparity perturbative modes we end with a discussion of how to extend chernsimons modified gravity to bypass the pontryagin constraint and the suppression of perturbations | [['we', 'study', 'perturbations', 'of', 'a', 'schwarzschild', 'black', 'hole', 'in', 'chernsimons', 'modified', 'gravity', 'we', 'begin', 'by', 'showing', 'that', 'birkhoffs', 'theorem', 'holds', 'for', 'a', 'wide', 'family', 'of', 'chernsimons', 'coupling', 'functions', 'a', 'scalar', 'field', 'present', 'in', 'the', 'theory', 'that', 'controls', 'the', 'strength', 'of', 'the', 'chernsimons', 'correction', 'to', 'the', 'einsteinhilbert', 'action', 'after', 'decomposing', 'the', 'perturbations', 'in', 'spherical', 'harmonics', 'we', 'study', 'the', 'linearized', 'modified', 'field', 'equations', 'and', 'find', 'that', 'axial', 'and', 'polar', 'modes', 'are', 'coupled', 'in', 'contrast', 'to', 'general', 'relativity', 'the', 'divergence', 'of', 'the', 'modified', 'equations', 'leads', 'to', 'the', 'pontryagin', 'constraint', 'which', 'forces', 'the', 'vanishing', 'of', 'the', 'cunninghampricemoncrief', 'master', 'function', 'associated', 'with', 'axial', 'modes', 'we', 'analyze', 'the', 'structure', 'of', 'these', 'equations', 'and', 'find', 'that', 'the', 'appearance', 'of', 'the', 'pontryagin', 'constraint', 'yields', 'an', 'overconstrained', 'system', 'that', 'does', 'not', 'allow', 'for', 'generic', 'black', 'hole', 'oscillations', 'we', 'illustrate', 'this', 'situation', 'by', 'studying', 'the', 'case', 'characterized', 'by', 'a', 'canonical', 'choice', 'of', 'the', 'coupling', 'function', 'and', 'pureparity', 'perturbative', 'modes', 'we', 'end', 'with', 'a', 'discussion', 'of', 'how', 'to', 'extend', 'chernsimons', 'modified', 'gravity', 'to', 'bypass', 'the', 'pontryagin', 'constraint', 'and', 'the', 'suppression', 'of', 'perturbations']] | [-0.20924140748529305, 0.11834111675620423, -0.09742574721832768, 0.07729019195092125, -0.09426318770329628, -0.13604289908017192, -0.01939225989289185, 0.23376004478602103, -0.23502147859017525, -0.28136737041792576, 0.05352095146691041, -0.23854705192060513, -0.1941325869425007, 0.13107419874210505, -0.059174643997888264, 0.014608631190188097, 0.015903443456269227, 0.049361830432596204, -0.14283298725157578, -0.20174448249845064, 0.3948446314633113, 0.05632843426842044, 0.23121171321763972, 0.0373705058171243, 0.10550348865992483, 0.011855951642628605, 0.01172946262057628, 0.06348219031423948, -0.1690200145606323, 0.08131612711703162, 0.18929751556631544, 0.08275191850084385, 0.22653208512498738, -0.4364776962695742, -0.21559834313308876, 0.06436883463640009, 0.0970797251507684, 0.1608703779270211, -0.043299104549960624, -0.2706241687365736, 0.05833854987112097, -0.1865210231977719, -0.17671281720384868, -0.09162064610578163, -0.011048452461623316, -0.01891457762868149, -0.28329569846495006, 0.10281857557198, 0.07757305050235705, -0.020404616048416264, -0.10585854079342893, -0.03138279952122637, -0.04497015972748487, 0.06025831384264682, 0.12900177773209454, 0.03238915076090806, 0.13808731072080824, -0.15997154548483178, -0.08044750435407323, 0.3719759175354841, -0.15472564150816237, -0.24092577507074636, 0.12173552647199945, -0.17481135286545083, -0.13631526384910447, 0.09514337108806657, 0.16047867182532005, 0.17418877843260414, -0.12977053232789976, 0.1362119959980751, -0.001798147316016367, 0.13338395895866248, 0.09487907350691553, 0.021302557309618296, 0.24092075756073175, 0.05957661549830754, 0.048881583645961874, 0.16617735293445854, -0.039208985077418365, -0.11210194965769377, -0.3583397188708847, -0.13760612029224062, -0.1290982373213098, 0.06648231237810229, -0.1266826628331066, -0.1724165143009782, 0.3971345629543066, 0.13479636626293298, 0.12328751524772562, 0.07975598247845785, 0.23074962166220656, 0.1625327993592126, 0.078581233544705, 0.05234218915764617, 0.3242497041851789, 0.19944159450979362, 0.06583510546465597, -0.29941288716319575, -0.09151790107561815, 0.12575780024983474] |
712.1029 | Detection of circumstellar CH2CHCN, CH2CN, CH3CCH and H2CS | We report on the detection of vinyl cyanide (CH2CHCN), cyanomethyl radical
(CH2CN), methylacetylene (CH3CCH) and thioformaldehyde (H2CS) in the C-rich
star IRC +10216. These species, which are all known to exist in dark clouds,
are detected for the first time in the circumstellar envelope around an AGB
star. The four molecules have been detected trough pure rotational transitions
in the course of a 3 mm line survey carried out with the IRAM 30-m telescope.
The molecular column densities are derived by constructing rotational
temperature diagrams. A detailed chemical model of the circumstellar envelope
is used to analyze the formation of these molecular species. We have found
column densities in the range 5 x 10^(12)- 2 x 10^(13) cm^(-2), which
translates to abundances relative to H2 of several 10^(-9). The chemical model
is reasonably successful in explaining the derived abundances through gas phase
synthesis in the cold outer envelope. We also find that some of these
molecules, CH2CHCN and CH2CN, are most probably excited trough infrared pumping
to excited vibrational states. The detection of these species stresses the
similarity between the molecular content of cold dark clouds and C-rich
circumstellar envelopes. However, some differences in the chemistry are
indicated by the fact that in IRC +10216 partially saturated carbon chains are
present at a lower level than those which are highly unsaturated, while in
TMC-1 both types of species have comparable abundances.
| astro-ph | we report on the detection of vinyl cyanide ch2chcn cyanomethyl radical ch2cn methylacetylene ch3cch and thioformaldehyde h2cs in the crich star irc 10216 these species which are all known to exist in dark clouds are detected for the first time in the circumstellar envelope around an agb star the four molecules have been detected trough pure rotational transitions in the course of a 3 mm line survey carried out with the iram 30m telescope the molecular column densities are derived by constructing rotational temperature diagrams a detailed chemical model of the circumstellar envelope is used to analyze the formation of these molecular species we have found column densities in the range 5 x 1012 2 x 1013 cm2 which translates to abundances relative to h2 of several 109 the chemical model is reasonably successful in explaining the derived abundances through gas phase synthesis in the cold outer envelope we also find that some of these molecules ch2chcn and ch2cn are most probably excited trough infrared pumping to excited vibrational states the detection of these species stresses the similarity between the molecular content of cold dark clouds and crich circumstellar envelopes however some differences in the chemistry are indicated by the fact that in irc 10216 partially saturated carbon chains are present at a lower level than those which are highly unsaturated while in tmc1 both types of species have comparable abundances | [['we', 'report', 'on', 'the', 'detection', 'of', 'vinyl', 'cyanide', 'ch2chcn', 'cyanomethyl', 'radical', 'ch2cn', 'methylacetylene', 'ch3cch', 'and', 'thioformaldehyde', 'h2cs', 'in', 'the', 'crich', 'star', 'irc', '10216', 'these', 'species', 'which', 'are', 'all', 'known', 'to', 'exist', 'in', 'dark', 'clouds', 'are', 'detected', 'for', 'the', 'first', 'time', 'in', 'the', 'circumstellar', 'envelope', 'around', 'an', 'agb', 'star', 'the', 'four', 'molecules', 'have', 'been', 'detected', 'trough', 'pure', 'rotational', 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'excited', 'vibrational', 'states', 'the', 'detection', 'of', 'these', 'species', 'stresses', 'the', 'similarity', 'between', 'the', 'molecular', 'content', 'of', 'cold', 'dark', 'clouds', 'and', 'crich', 'circumstellar', 'envelopes', 'however', 'some', 'differences', 'in', 'the', 'chemistry', 'are', 'indicated', 'by', 'the', 'fact', 'that', 'in', 'irc', '10216', 'partially', 'saturated', 'carbon', 'chains', 'are', 'present', 'at', 'a', 'lower', 'level', 'than', 'those', 'which', 'are', 'highly', 'unsaturated', 'while', 'in', 'tmc1', 'both', 'types', 'of', 'species', 'have', 'comparable', 'abundances']] | [-0.07813409246626266, 0.1322057413011492, 0.005455449322295009, 0.02671502456089151, 0.017556653201813887, -0.059342226054866144, 0.04395043101964027, 0.4525877952059626, -0.1561101500687766, -0.31776210414527944, 0.06006189289067376, -0.2653868219319296, -0.02879374527530664, 0.08867426198157301, 0.017304354313019164, -0.044682859775491336, 0.024561113713196282, 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712.103 | Bayesian comparison of Post-Newtonian approximations of gravitational
wave chirp signals | We estimate the probability of detecting a gravitational wave signal from
coalescing compact binaries in simulated data from a ground-based
interferometer detector of gravitational radiation using Bayesian model
selection. The simulated waveform of the chirp signal is assumed to be a
spin-less Post-Newtonian (PN) waveform of a given expansion order, while the
searching template is assumed to be either of the same Post-Newtonian family as
the simulated signal or one level below its Post-Newtonian expansion order.
Within the Bayesian framework, and by applying a reversible jump Markov chain
Monte Carlo simulation algorithm, we compare PN1.5 vs. PN2.0 and PN3.0 vs.
PN3.5 wave forms by deriving the detection probabilities, the statistical
uncertainties due to noise as a function of the SNR, and the posterior
distributions of the parameters. Our analysis indicates that the detection
probabilities are not compromised when simplified models are used for the
comparison, while the accuracies in the determination of the parameters
characterizing these signals can be significantly worsened, no matter what the
considered Post-Newtonian order expansion comparison is.
| gr-qc | we estimate the probability of detecting a gravitational wave signal from coalescing compact binaries in simulated data from a groundbased interferometer detector of gravitational radiation using bayesian model selection the simulated waveform of the chirp signal is assumed to be a spinless postnewtonian pn waveform of a given expansion order while the searching template is assumed to be either of the same postnewtonian family as the simulated signal or one level below its postnewtonian expansion order within the bayesian framework and by applying a reversible jump markov chain monte carlo simulation algorithm we compare pn15 vs pn20 and pn30 vs pn35 wave forms by deriving the detection probabilities the statistical uncertainties due to noise as a function of the snr and the posterior distributions of the parameters our analysis indicates that the detection probabilities are not compromised when simplified models are used for the comparison while the accuracies in the determination of the parameters characterizing these signals can be significantly worsened no matter what the considered postnewtonian order expansion comparison is | [['we', 'estimate', 'the', 'probability', 'of', 'detecting', 'a', 'gravitational', 'wave', 'signal', 'from', 'coalescing', 'compact', 'binaries', 'in', 'simulated', 'data', 'from', 'a', 'groundbased', 'interferometer', 'detector', 'of', 'gravitational', 'radiation', 'using', 'bayesian', 'model', 'selection', 'the', 'simulated', 'waveform', 'of', 'the', 'chirp', 'signal', 'is', 'assumed', 'to', 'be', 'a', 'spinless', 'postnewtonian', 'pn', 'waveform', 'of', 'a', 'given', 'expansion', 'order', 'while', 'the', 'searching', 'template', 'is', 'assumed', 'to', 'be', 'either', 'of', 'the', 'same', 'postnewtonian', 'family', 'as', 'the', 'simulated', 'signal', 'or', 'one', 'level', 'below', 'its', 'postnewtonian', 'expansion', 'order', 'within', 'the', 'bayesian', 'framework', 'and', 'by', 'applying', 'a', 'reversible', 'jump', 'markov', 'chain', 'monte', 'carlo', 'simulation', 'algorithm', 'we', 'compare', 'pn15', 'vs', 'pn20', 'and', 'pn30', 'vs', 'pn35', 'wave', 'forms', 'by', 'deriving', 'the', 'detection', 'probabilities', 'the', 'statistical', 'uncertainties', 'due', 'to', 'noise', 'as', 'a', 'function', 'of', 'the', 'snr', 'and', 'the', 'posterior', 'distributions', 'of', 'the', 'parameters', 'our', 'analysis', 'indicates', 'that', 'the', 'detection', 'probabilities', 'are', 'not', 'compromised', 'when', 'simplified', 'models', 'are', 'used', 'for', 'the', 'comparison', 'while', 'the', 'accuracies', 'in', 'the', 'determination', 'of', 'the', 'parameters', 'characterizing', 'these', 'signals', 'can', 'be', 'significantly', 'worsened', 'no', 'matter', 'what', 'the', 'considered', 'postnewtonian', 'order', 'expansion', 'comparison', 'is']] | [-0.11344861602801048, 0.08309364772100604, -0.09242286345179745, 0.10011670919634334, -0.06954961015792664, -0.08365209202678082, 0.056018538052260786, 0.3426508392670197, -0.220402857729284, -0.33772710596439903, 0.09365123302416463, -0.2755417578106378, -0.09020343482038452, 0.2089754191302544, 0.020179223753009994, 0.08481877326685099, 0.07694260926755468, 0.02896316274777501, -0.10296084144442694, -0.18015033949423068, 0.26379563796339545, 0.13488175504294386, 0.21384007755449477, -0.07718400050004844, 0.0801134566184967, 0.0059919439982567095, -0.051859909141558906, -0.017803585516500794, -0.11311863338273098, 0.04121103396773071, 0.26056045398888933, 0.14598063657528715, 0.20484684394047914, -0.3741578657826978, -0.25190684265696894, 0.13410757063793208, 0.1335051136236348, 0.14060015357824454, -0.03111067622576556, -0.3391404419859961, 0.05576257105612804, -0.2293781559152074, -0.08690781281803718, -0.03312415344372927, -0.020325791896920384, 0.06635427142250837, -0.2930775700878731, 0.09303982016661143, 0.035944018339386916, -0.019822074637140433, -0.031074014197460594, -0.1180550739905256, -0.01345538427846919, 0.09227550100666906, 0.04652130900893338, 0.060846286904782027, 0.1421550739735008, -0.12359459997673412, -0.11056657719793925, 0.40461622909635786, -0.08641254544065718, -0.21261168249135468, 0.1452488600315448, -0.1768130403329914, -0.10809290101528614, 0.16494360981888312, 0.1802590746797822, 0.13297029937795937, -0.19395052369945043, 0.05692012293973915, 0.09048211296639004, 0.20533324200325384, 0.07567637744861583, -0.030768496963797794, 0.24147545767970338, 0.16911953771737834, 0.0072916560139908585, 0.12227280674471581, -0.17591057715151168, -0.0861726667408547, -0.30057764224656497, -0.09516750508082841, -0.21491499334534708, 0.0014831928624653029, -0.14702430373717526, -0.14897488995906924, 0.3803758152710374, 0.19423209269957542, 0.15577044617105834, 0.08725227248955317, 0.3493960148314694, 0.16259329924973365, 0.020052869037396, 0.042238567209897375, 0.28418411543972033, 0.13218956685507904, -0.002677909212889607, -0.1950579604237134, 0.1264145284358546, 0.01717550525564455] |
712.1031 | Supercooling and phase coexistence in cosmological phase transitions | Cosmological phase transitions are predicted by Particle Physics models, and
have a variety of important cosmological consequences, which depend strongly on
the dynamics of the transition. In this work we investigate in detail the
general features of the development of a first-order phase transition. We find
thermodynamical constraints on some quantities that determine the dynamics,
namely, the latent heat, the radiation energy density and the false-vacuum
energy density. Using a simple model with a Higgs field, we study numerically
the amount and duration of supercooling and the subsequent reheating and phase
coexistence. We analyze the dependence of the dynamics on the different
parameters of the model, namely, the energy scale, the number of degrees of
freedom and the couplings of the scalar field with bosons and fermions. We also
inspect the implications for the cosmological outcomes of the phase transition.
| hep-ph astro-ph hep-th | cosmological phase transitions are predicted by particle physics models and have a variety of important cosmological consequences which depend strongly on the dynamics of the transition in this work we investigate in detail the general features of the development of a firstorder phase transition we find thermodynamical constraints on some quantities that determine the dynamics namely the latent heat the radiation energy density and the falsevacuum energy density using a simple model with a higgs field we study numerically the amount and duration of supercooling and the subsequent reheating and phase coexistence we analyze the dependence of the dynamics on the different parameters of the model namely the energy scale the number of degrees of freedom and the couplings of the scalar field with bosons and fermions we also inspect the implications for the cosmological outcomes of the phase transition | [['cosmological', 'phase', 'transitions', 'are', 'predicted', 'by', 'particle', 'physics', 'models', 'and', 'have', 'a', 'variety', 'of', 'important', 'cosmological', 'consequences', 'which', 'depend', 'strongly', 'on', 'the', 'dynamics', 'of', 'the', 'transition', 'in', 'this', 'work', 'we', 'investigate', 'in', 'detail', 'the', 'general', 'features', 'of', 'the', 'development', 'of', 'a', 'firstorder', 'phase', 'transition', 'we', 'find', 'thermodynamical', 'constraints', 'on', 'some', 'quantities', 'that', 'determine', 'the', 'dynamics', 'namely', 'the', 'latent', 'heat', 'the', 'radiation', 'energy', 'density', 'and', 'the', 'falsevacuum', 'energy', 'density', 'using', 'a', 'simple', 'model', 'with', 'a', 'higgs', 'field', 'we', 'study', 'numerically', 'the', 'amount', 'and', 'duration', 'of', 'supercooling', 'and', 'the', 'subsequent', 'reheating', 'and', 'phase', 'coexistence', 'we', 'analyze', 'the', 'dependence', 'of', 'the', 'dynamics', 'on', 'the', 'different', 'parameters', 'of', 'the', 'model', 'namely', 'the', 'energy', 'scale', 'the', 'number', 'of', 'degrees', 'of', 'freedom', 'and', 'the', 'couplings', 'of', 'the', 'scalar', 'field', 'with', 'bosons', 'and', 'fermions', 'we', 'also', 'inspect', 'the', 'implications', 'for', 'the', 'cosmological', 'outcomes', 'of', 'the', 'phase', 'transition']] | [-0.13635135413413602, 0.20841030980061206, -0.09408185278132025, 0.06991259406038028, -0.039733335394079666, -0.07520611255063808, 0.043222609603045775, 0.3090118705245134, -0.23487789823474095, -0.3149517330341041, 0.09006910100579262, -0.253790759774191, -0.12714353253499472, 0.12626605357924875, 0.06379924913635478, 0.029329961455161018, 0.0008526212519167789, 0.05474483547732234, -0.08522185466551621, -0.21564487627308285, 0.37294054269524557, 0.06721778124836938, 0.2542013116446989, 0.07935587987636349, 0.08534667130692729, -0.020956158119120768, 0.011204785550944507, 0.019772411310779198, -0.21944835393582512, 0.04250576596241444, 0.14797502487316316, 0.08775092998985201, 0.2091986616142094, -0.416069689971794, -0.2657082365626203, 0.13180994615457686, 0.07775708630215376, 0.1405727198954472, -0.07137745695238534, -0.265392380972792, -0.021012138384061733, -0.15737564646905022, -0.10116721544265082, -0.0878128836230774, -0.016924310939586056, 0.03297093080389979, -0.24578431698360614, 0.09335645826213294, 0.0003272150576646839, 0.03983707427313285, -0.07312842297168183, -0.08122450559582961, -0.043599381118214556, 0.09692274031694978, 0.09083559586766309, -0.03229598142372977, 0.1476410526516182, -0.20776323888484122, -0.09074155359745159, 0.405561285931617, -0.08684514774940907, -0.15195213135697747, 0.18379772507053402, -0.16791010205301324, -0.14333165401310127, 0.11360331315414182, 0.18998525865109903, 0.11355618175917438, -0.1174916010549558, 0.11396555757424462, 0.029277143180037716, 0.17182965006213635, 0.006772333929049117, 0.06460763211569949, 0.2525570161241506, 0.172387268311078, -0.01830124122705976, 0.1446957696195958, -0.09570977799594402, -0.15281279569691314, -0.3325325967411378, -0.16994709687839663, -0.14802160031395034, 0.016326856373676233, -0.1325029576938375, -0.15644699678357157, 0.48506051723712257, 0.18788646416921567, 0.22830728568036907, 0.020685917392672438, 0.2504290704216276, 0.11958172950294933, 0.0002689725286992533, 0.05333192796512906, 0.28756583206060377, 0.1350211289062697, 0.1076598954952455, -0.2948860792376633, 0.03682969433055924, 0.038089459439340445] |
712.1032 | Moonshine elements in elliptic cohomology | This is a historical talk about the recent confluence of two lines of
research in equivariant elliptic cohomology, one concerned with connected Lie
groups, the other with the finite case. These themes come together in (what
seems to me remarkable) work of N. Ganter, relating replicability of
McKay-Thompson series to the theory of exponential cohomology operations.
| math.AT math.RT | this is a historical talk about the recent confluence of two lines of research in equivariant elliptic cohomology one concerned with connected lie groups the other with the finite case these themes come together in what seems to me remarkable work of n ganter relating replicability of mckaythompson series to the theory of exponential cohomology operations | [['this', 'is', 'a', 'historical', 'talk', 'about', 'the', 'recent', 'confluence', 'of', 'two', 'lines', 'of', 'research', 'in', 'equivariant', 'elliptic', 'cohomology', 'one', 'concerned', 'with', 'connected', 'lie', 'groups', 'the', 'other', 'with', 'the', 'finite', 'case', 'these', 'themes', 'come', 'together', 'in', 'what', 'seems', 'to', 'me', 'remarkable', 'work', 'of', 'n', 'ganter', 'relating', 'replicability', 'of', 'mckaythompson', 'series', 'to', 'the', 'theory', 'of', 'exponential', 'cohomology', 'operations']] | [-0.19844221186524788, 0.06791623043162483, -0.1153235672307866, 0.04651855088637343, -0.14280688629618712, -0.15857234086641775, 0.005167875735164021, 0.3097371291701815, -0.3039970453080189, -0.2580065664702228, 0.0898764414305333, -0.30029551121073644, -0.13612652882251755, 0.1791829393644418, -0.1609038471277537, 0.0004171897640584835, 0.03176086089972939, 0.1167540768697758, -0.07696906611922064, -0.33614050540979534, 0.37450527131191585, -0.005910924419627658, 0.2442774142005614, 0.03276164357729223, 0.02084450565078961, -0.06050609645067847, -0.12641463030429026, -0.03198173803061114, -0.10076135574074994, 0.2433021251012438, 0.38082077271038933, 0.058414079348689744, 0.26830473795001, -0.4392485000259642, -0.12089910607651941, 0.1051970611359658, 0.11262077658570238, 0.03463284593142037, 0.002343341928540862, -0.24028498782094435, 0.063685312727882, -0.18662770754391594, -0.17291715278822398, -0.018641720904270187, 0.04451329177910728, 0.036473151396161745, -0.1440820049361459, 0.011964121667136039, 0.09723752981517464, 0.1672451036865823, -0.012396006537268736, -0.12313886369312448, 0.019161486154189333, 0.11330285630953897, 0.09674428136869599, 0.040280124970844815, 0.07528959953093103, -0.119345396486876, -0.16726316771070873, 0.353904326371516, -0.026252780546201393, -0.09711609505549339, 0.1453023083075615, -0.19872498393358132, -0.2706838623021862, 0.09416010698104012, 0.0718913631779807, 0.12658884190022945, -0.06175934104248881, 0.1159088296117261, -0.08611917447498334, 0.08812413856087785, 0.0801284262644393, -0.00019779969755161022, 0.1656227755634713, 0.09169399079733662, 0.030007660405577292, 0.07915374424400008, 0.07614416063630156, -0.11325145600962319, -0.3559751812967339, -0.1691467180415722, -0.08647190996063207, 0.12136052080313675, -0.03879948054340535, -0.1613296452518885, 0.4252371899450996, 0.12277169861564678, 0.19365853829575436, 0.06007913283870688, 0.22580072903864284, 0.03963119466789067, 0.05538162535854748, -0.024854239236057247, 0.14439588314520993, 0.23642922640257374, 0.09194001024921558, -0.14539516318888804, 0.011480942096178686, 0.16109466463759808] |
712.1033 | HR 710 (HD 15144): An ultra-Sr-rich, magnetic Ap star with a close
companion | The magnetic, chemically peculiar A-star HR 710 (HD 15144, ADS 1849A, AB Cet)
has a close companion in a nearly circular orbit. Its 3-day period is unusually
short for such stars. The system emits moderately hard x-rays, which likely
come from a white dwarf secondary (ADS 1849Ab). The Sr II spectrum is very
strong, and the resonance lines show similar core-nib structure to the stronger
Ca K line. We place only loose constraints on a model. There are indications of
a lower electron/gas pressure than expected from the star's parallax and
brightness. Strong-line profiles and anomalous excitation/ionization indicate
significant deviations from traditional models, fixed by Teff, log{g}, and
abundances. Weak spectral-line profiles and wavelength shifts probably indicate
abundance patches rather than the presence of a secondary (ADS 1849Ab)
spectrum. Our UVES spectra are from only one epoch. Additional low-noise,
high-resolution spectra are needed. We discuss the spectrum within the context
of abundance stratification.
| astro-ph | the magnetic chemically peculiar astar hr 710 hd 15144 ads 1849a ab cet has a close companion in a nearly circular orbit its 3day period is unusually short for such stars the system emits moderately hard xrays which likely come from a white dwarf secondary ads 1849ab the sr ii spectrum is very strong and the resonance lines show similar corenib structure to the stronger ca k line we place only loose constraints on a model there are indications of a lower electrongas pressure than expected from the stars parallax and brightness strongline profiles and anomalous excitationionization indicate significant deviations from traditional models fixed by teff logg and abundances weak spectralline profiles and wavelength shifts probably indicate abundance patches rather than the presence of a secondary ads 1849ab spectrum our uves spectra are from only one epoch additional lownoise highresolution spectra are needed we discuss the spectrum within the context of abundance stratification | [['the', 'magnetic', 'chemically', 'peculiar', 'astar', 'hr', '710', 'hd', '15144', 'ads', '1849a', 'ab', 'cet', 'has', 'a', 'close', 'companion', 'in', 'a', 'nearly', 'circular', 'orbit', 'its', '3day', 'period', 'is', 'unusually', 'short', 'for', 'such', 'stars', 'the', 'system', 'emits', 'moderately', 'hard', 'xrays', 'which', 'likely', 'come', 'from', 'a', 'white', 'dwarf', 'secondary', 'ads', '1849ab', 'the', 'sr', 'ii', 'spectrum', 'is', 'very', 'strong', 'and', 'the', 'resonance', 'lines', 'show', 'similar', 'corenib', 'structure', 'to', 'the', 'stronger', 'ca', 'k', 'line', 'we', 'place', 'only', 'loose', 'constraints', 'on', 'a', 'model', 'there', 'are', 'indications', 'of', 'a', 'lower', 'electrongas', 'pressure', 'than', 'expected', 'from', 'the', 'stars', 'parallax', 'and', 'brightness', 'strongline', 'profiles', 'and', 'anomalous', 'excitationionization', 'indicate', 'significant', 'deviations', 'from', 'traditional', 'models', 'fixed', 'by', 'teff', 'logg', 'and', 'abundances', 'weak', 'spectralline', 'profiles', 'and', 'wavelength', 'shifts', 'probably', 'indicate', 'abundance', 'patches', 'rather', 'than', 'the', 'presence', 'of', 'a', 'secondary', 'ads', '1849ab', 'spectrum', 'our', 'uves', 'spectra', 'are', 'from', 'only', 'one', 'epoch', 'additional', 'lownoise', 'highresolution', 'spectra', 'are', 'needed', 'we', 'discuss', 'the', 'spectrum', 'within', 'the', 'context', 'of', 'abundance', 'stratification']] | [-0.10571463604935923, 0.12683224408081858, -0.08167010816317555, 0.10313659153306051, -0.09884573678750344, -0.16215419359552372, 0.08281460433342569, 0.4080812987191854, -0.16355820011813194, -0.3355447296053171, 0.03499611844292942, -0.33900915256644776, -0.0344316771354627, 0.18965227362492146, -0.06506530858570005, -0.06348725634735594, 0.12730992740300182, 0.0063769669201999045, -0.03917177203363059, -0.18430741730058012, 0.2616033777783348, 0.08703753037529217, 0.1766284527084035, -0.05057796042701985, -0.017906500205926195, -0.11035638924757321, -0.03917224591733995, 0.0024234848883556755, -0.12622606989650711, 0.032868715874674555, 0.199251753814064, 0.08962960304956683, 0.15023893791068396, -0.32973491253859893, -0.2403534623114644, 0.04580645874344751, 0.16132767544744686, 0.06417992845338115, -0.0695440725059991, -0.2660922749358154, 0.08630833919852267, -0.13845708919138447, -0.11088187273314877, 0.030796619887287553, 0.05940047390381428, -0.017751862099897618, -0.24584212401650557, 0.1027327001400015, 0.04134406381274095, 0.15968115192309423, -0.14806041010809634, -0.16202836058565062, -0.08981571594847844, 0.06792580162653246, 0.02687581127267205, 0.012589591987921882, 0.1323684937087819, -0.10275413480436278, 0.03287973064878905, 0.4103705167705099, -0.15626719294094663, 0.030622058871321734, 0.24842397236844171, -0.21333477393931685, -0.1525898522286789, 0.20562739156790683, 0.1284385666666502, 0.17856972112408462, -0.12687383847259223, 0.039656274769112244, -0.008833921473548823, 0.2607166218898586, 0.0871604096153877, 0.05340163106872776, 0.35729277295979195, 0.05493818314897834, 0.04550338479001201, 0.059875575500317045, -0.23022013918553302, -0.03004469268017675, -0.21122697011466968, -0.08361390883077842, -0.08460253299563192, 0.0678425706573762, -0.12706103512568548, -0.14975213292809958, 0.33083645008013557, 0.09582316657965625, 0.22203476777330916, 0.0028820290124811536, 0.31152428104699514, 0.11072851886195634, 0.08440677696499561, 0.11577690371966644, 0.31269772950169705, 0.18246355483092516, 0.1295125956829587, -0.24170603418905237, 0.06936737043606872, 0.006725593951430071] |
712.1034 | Energy Dependence of CP-Violation Reach for Monochromatic Neutrino Beam | The ultimate goal for future neutrino facilities is the determination of CP
violation in neutrino oscillations. Besides $| U(e3) | \ne 0$, this will
require precision experiments with a very intense neutrino source and energy
control. With this objective in mind, the creation of monochromatic neutrino
beams from the electron capture decay of boosted ions by the SPS of CERN has
been proposed. We discuss the capabilities of such a facility as a function of
the energy of the boost and the baseline for the detector. We compare the
physics potential for two different configurations: I) $\gamma=90$ and
$\gamma=195$ (maximum achievable at present SPS) to Frejus; II) $\gamma=195$
and $\gamma=440$ (maximum achievable at upgraded SPS) to Canfranc. We conclude
that the SPS upgrade to 1000 GeV is important to reach a better sensitivity to
CP violation iff it is accompanied by a longer baseline. In both Setups, the
gain in the CP violation sensitivity with a previous knowledge of $| U(e3) |$
is apparent.
| hep-ph | the ultimate goal for future neutrino facilities is the determination of cp violation in neutrino oscillations besides ue3 ne 0 this will require precision experiments with a very intense neutrino source and energy control with this objective in mind the creation of monochromatic neutrino beams from the electron capture decay of boosted ions by the sps of cern has been proposed we discuss the capabilities of such a facility as a function of the energy of the boost and the baseline for the detector we compare the physics potential for two different configurations i gamma90 and gamma195 maximum achievable at present sps to frejus ii gamma195 and gamma440 maximum achievable at upgraded sps to canfranc we conclude that the sps upgrade to 1000 gev is important to reach a better sensitivity to cp violation iff it is accompanied by a longer baseline in both setups the gain in the cp violation sensitivity with a previous knowledge of ue3 is apparent | [['the', 'ultimate', 'goal', 'for', 'future', 'neutrino', 'facilities', 'is', 'the', 'determination', 'of', 'cp', 'violation', 'in', 'neutrino', 'oscillations', 'besides', 'ue3', 'ne', '0', 'this', 'will', 'require', 'precision', 'experiments', 'with', 'a', 'very', 'intense', 'neutrino', 'source', 'and', 'energy', 'control', 'with', 'this', 'objective', 'in', 'mind', 'the', 'creation', 'of', 'monochromatic', 'neutrino', 'beams', 'from', 'the', 'electron', 'capture', 'decay', 'of', 'boosted', 'ions', 'by', 'the', 'sps', 'of', 'cern', 'has', 'been', 'proposed', 'we', 'discuss', 'the', 'capabilities', 'of', 'such', 'a', 'facility', 'as', 'a', 'function', 'of', 'the', 'energy', 'of', 'the', 'boost', 'and', 'the', 'baseline', 'for', 'the', 'detector', 'we', 'compare', 'the', 'physics', 'potential', 'for', 'two', 'different', 'configurations', 'i', 'gamma90', 'and', 'gamma195', 'maximum', 'achievable', 'at', 'present', 'sps', 'to', 'frejus', 'ii', 'gamma195', 'and', 'gamma440', 'maximum', 'achievable', 'at', 'upgraded', 'sps', 'to', 'canfranc', 'we', 'conclude', 'that', 'the', 'sps', 'upgrade', 'to', '1000', 'gev', 'is', 'important', 'to', 'reach', 'a', 'better', 'sensitivity', 'to', 'cp', 'violation', 'iff', 'it', 'is', 'accompanied', 'by', 'a', 'longer', 'baseline', 'in', 'both', 'setups', 'the', 'gain', 'in', 'the', 'cp', 'violation', 'sensitivity', 'with', 'a', 'previous', 'knowledge', 'of', 'ue3', 'is', 'apparent']] | [-0.07931680441687598, 0.1732452379117878, -0.04396565808656877, 0.09721274687850016, -0.05323169701410539, -0.15734049964274438, 0.05280754727358292, 0.36091609828689564, -0.19671391132258395, -0.3316825850538722, 0.06828680036607075, -0.31035525334776387, 0.02480565278304729, 0.18815028105874154, 0.01892024635647734, 0.07382146562830363, 0.08631856787990802, 0.005086186652382215, -0.09357877453619251, -0.19048088588663992, 0.2502783684897582, 0.18875569000887046, 0.2942944414204912, 0.13149594932314265, 0.10415054710930413, -0.036708526185540914, -0.01706261172855519, -0.030228649875231134, -0.0934446018473183, 0.06774644313435767, 0.27330915130815414, 0.19607785529070446, 0.19175004935091208, -0.3717314803609683, -0.14486614998181807, 0.14621987824369245, 0.10784918807063298, 0.06265806318875754, -0.08623384758566488, -0.26561489615753386, 0.07163725701217838, -0.1951653831169806, -0.15269497571712207, 0.013279644972293303, -0.007461699551709418, 0.015663167258941294, -0.3302588013510378, 0.005478891879378719, -0.03746977348009464, 0.03856090583864881, 0.017565206583565886, -0.1782292383459379, 0.05862129927735846, 0.05719326797919641, 0.06452914640752587, 0.05337564346128665, 0.08846938142658405, -0.1576200581167432, -0.13242923743355106, 0.383399884491784, -0.0767306330725082, -0.11702984830499305, 0.1547393139961334, -0.2160343649517452, -0.1126932903374516, 0.14592714659846243, 0.1784241069518264, 0.0725328098388049, -0.17021336799792056, 0.0583256034227381, -0.011730947099778356, 0.1496822380654092, 0.08361455892892145, 0.06438586785335024, 0.24409979447699007, 0.26884109966175734, 0.12171219543805756, 0.07150810649735653, -0.14874971544211907, -0.01919271517691419, -0.3520125725699015, -0.12090301647805755, -0.11173276493432727, 0.04733553314698661, 0.0007555003211329802, -0.02326944234353379, 0.4088026796608179, 0.1492692763102973, 0.13777637527376976, 0.017550696353808796, 0.30010052663698766, 0.05059098039018634, 0.06110511640227347, 0.02501805229756817, 0.3387860984734769, 0.0788720646044298, 0.17543868180481517, -0.2927033612255663, 0.04606184784437196, -0.013858544042790836] |
712.1035 | Nano-Engineering Defect Structures on Graphene | We present a new way of nano-engineering graphene using defect domains. These
regions have ring structures that depart from the usual honeycomb lattice,
though each carbon atom still has three nearest neighbors. A set of stable
domain structures is identified using density functional theory (DFT),
including blisters, ridges, ribbons, and metacrystals. All such structures are
made solely out of carbon; the smallest encompasses just 16 atoms. Blisters,
ridges and metacrystals rise up out of the sheet, while ribbons remain flat. In
the vicinity of vacancies, the reaction barriers to formation are sufficiently
low that such defects could be synthesized through the thermally activated
restructuring of coalesced adatoms.
| cond-mat.mtrl-sci | we present a new way of nanoengineering graphene using defect domains these regions have ring structures that depart from the usual honeycomb lattice though each carbon atom still has three nearest neighbors a set of stable domain structures is identified using density functional theory dft including blisters ridges ribbons and metacrystals all such structures are made solely out of carbon the smallest encompasses just 16 atoms blisters ridges and metacrystals rise up out of the sheet while ribbons remain flat in the vicinity of vacancies the reaction barriers to formation are sufficiently low that such defects could be synthesized through the thermally activated restructuring of coalesced adatoms | [['we', 'present', 'a', 'new', 'way', 'of', 'nanoengineering', 'graphene', 'using', 'defect', 'domains', 'these', 'regions', 'have', 'ring', 'structures', 'that', 'depart', 'from', 'the', 'usual', 'honeycomb', 'lattice', 'though', 'each', 'carbon', 'atom', 'still', 'has', 'three', 'nearest', 'neighbors', 'a', 'set', 'of', 'stable', 'domain', 'structures', 'is', 'identified', 'using', 'density', 'functional', 'theory', 'dft', 'including', 'blisters', 'ridges', 'ribbons', 'and', 'metacrystals', 'all', 'such', 'structures', 'are', 'made', 'solely', 'out', 'of', 'carbon', 'the', 'smallest', 'encompasses', 'just', '16', 'atoms', 'blisters', 'ridges', 'and', 'metacrystals', 'rise', 'up', 'out', 'of', 'the', 'sheet', 'while', 'ribbons', 'remain', 'flat', 'in', 'the', 'vicinity', 'of', 'vacancies', 'the', 'reaction', 'barriers', 'to', 'formation', 'are', 'sufficiently', 'low', 'that', 'such', 'defects', 'could', 'be', 'synthesized', 'through', 'the', 'thermally', 'activated', 'restructuring', 'of', 'coalesced', 'adatoms']] | [-0.13082491317938003, 0.16499888874311872, -0.030486268781519398, 0.022767599816782242, -0.003159848727268454, -0.13219092076940236, 0.08548105139585613, 0.45876625892227496, -0.28425277910569563, -0.27098541776758456, 0.05000856002057232, -0.31863047960693036, -0.13379228248252212, 0.12384819669353071, 0.04553634119677035, -0.018357367311369315, 0.055175612775269445, -0.05711311356068772, -0.03553557335007414, -0.23600949402398072, 0.2593952718834941, 0.03606136038760158, 0.2780912375843553, 0.03762128489161624, -0.002222952167460016, -0.06716534746462637, 0.07464332869232884, 0.06805845506698172, -0.13917894492855526, 0.12213936222066546, 0.20816365328713138, -0.06100732735445218, 0.2033822770430663, -0.5489254140025266, -0.22371003691490007, 0.010647180111573958, 0.18470700723815395, 0.15550149607289337, -0.0669153296686796, -0.26321046406111603, 0.1132828140300568, -0.10842464734565153, -0.11975737240287328, -0.06187558614226737, 0.015275471652292203, 0.040131122382492626, -0.1724006547113863, 0.07224961925976883, 0.014450065421689058, 0.06007897813595553, -0.07601229913497919, -0.14546891037270288, -0.12937982207399176, 0.09414029339868053, 0.004021751931563855, -0.006743388079383158, 0.25468998669568343, -0.08898674966288712, -0.10361855651173636, 0.39609183402401266, -0.013053109399347661, -0.09301390665992398, 0.21267076905938648, -0.13648702871058763, -0.11703055635286129, 0.21862799672531746, 0.08063094129037356, 0.1219620786511522, -0.1391478615005666, 0.08542552005165588, -0.03133702870114558, 0.12918251018022475, 0.15857501326250695, 0.043169902794271985, 0.30433267997316665, 0.1824879853553182, 0.07451464942352908, 0.13610333354630133, -0.12350104703071797, -0.08712556409414544, -0.22934488920825663, -0.1572192948720653, -0.17492539138929206, 0.0507823762801589, -0.06724664629039911, -0.24081064485204973, 0.35460315979843104, 0.0511516413094354, 0.208899242699007, -0.0739903672485151, 0.1574140060475427, 0.027275147812063458, 0.13683573289765655, 0.05471680756162191, 0.21245940127975751, 0.1428070780211868, 0.044429249907016896, -0.14292087380460977, 0.0639260266428796, 0.010281644032606594] |
712.1036 | The lowest-mass stellar black holes: catastrophic death of neutron stars
in gamma-ray bursts | Mergers of double neutron stars are considered the most likely progenitors
for short gamma-ray bursts. Indeed such a merger can produce a black hole with
a transient accreting torus of nuclear matter (Lee & Ramirez-Ruiz 2007,
Oechslin & Janka 2006), and the conversion of a fraction of the torus
mass-energy to radiation can power a gamma-ray burst (Nakar 2006). Using
available binary pulsar observations supported by our extensive evolutionary
calculations of double neutron star formation, we demonstrate that the fraction
of mergers that can form a black hole -- torus system depends very sensitively
on the (largely unknown) maximum neutron star mass. We show that the available
observations and models put a very stringent constraint on this maximum mass
under the assumption that a black hole formation is required to produce a short
gamma-ray burst in a double neutron star merger. Specifically, we find that the
maximum neutron star mass must be within 2 - 2.5 Msun. Moreover, a single
unambiguous measurement of a neutron star mass above 2.5 Msun would exclude a
black hole -- torus central engine model of short gamma-ray bursts in double
neutron star mergers. Such an observation would also indicate that if in fact
short gamma-ray bursts are connected to neutron star mergers, the gamma-ray
burst engine is best explained by the lesser known model invoking a highly
magnetized massive neutron star (e.g., Usov 1992; Kluzniak & Ruderman 1998; Dai
et al. 2006; Metzger, Quataert & Thompson 2007).
| astro-ph | mergers of double neutron stars are considered the most likely progenitors for short gammaray bursts indeed such a merger can produce a black hole with a transient accreting torus of nuclear matter lee ramirezruiz 2007 oechslin janka 2006 and the conversion of a fraction of the torus massenergy to radiation can power a gammaray burst nakar 2006 using available binary pulsar observations supported by our extensive evolutionary calculations of double neutron star formation we demonstrate that the fraction of mergers that can form a black hole torus system depends very sensitively on the largely unknown maximum neutron star mass we show that the available observations and models put a very stringent constraint on this maximum mass under the assumption that a black hole formation is required to produce a short gammaray burst in a double neutron star merger specifically we find that the maximum neutron star mass must be within 2 25 msun moreover a single unambiguous measurement of a neutron star mass above 25 msun would exclude a black hole torus central engine model of short gammaray bursts in double neutron star mergers such an observation would also indicate that if in fact short gammaray bursts are connected to neutron star mergers the gammaray burst engine is best explained by the lesser known model invoking a highly magnetized massive neutron star eg usov 1992 kluzniak ruderman 1998 dai et al 2006 metzger quataert thompson 2007 | [['mergers', 'of', 'double', 'neutron', 'stars', 'are', 'considered', 'the', 'most', 'likely', 'progenitors', 'for', 'short', 'gammaray', 'bursts', 'indeed', 'such', 'a', 'merger', 'can', 'produce', 'a', 'black', 'hole', 'with', 'a', 'transient', 'accreting', 'torus', 'of', 'nuclear', 'matter', 'lee', 'ramirezruiz', '2007', 'oechslin', 'janka', '2006', 'and', 'the', 'conversion', 'of', 'a', 'fraction', 'of', 'the', 'torus', 'massenergy', 'to', 'radiation', 'can', 'power', 'a', 'gammaray', 'burst', 'nakar', '2006', 'using', 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712.1037 | The Importance of Being First: Position Dependent Citation Rates on
arXiv:astro-ph | We study the dependence of citation counts of e-prints published on the
arXiv:astro-ph server on their position in the daily astro-ph listing. Using
the SPIRES literature database we reconstruct the astro-ph listings from July
2002 to December 2005 and determine citation counts for e-prints from their ADS
entry. We use Zipf plots to analyze the citation distributions for each
astro-ph position. We find that e-prints appearing at or near the top of the
astro-ph mailings receive significantly more citations than those further down
the list. This difference is significant at the 7 sigma level and on average
amounts to two times more citations for papers at the top than those further
down the listing. We propose three possible non-exclusive explanations for this
positional citation effect and try to test them. We conclude that
self-promotion by authors plays a role in the observed effect but cannot
exclude that increased visibility at the top of the daily listings contributes
to higher citation counts as well. We can rule out that the positional
dependence of citations is caused by the coincidence of the submission deadline
with the working hours of a geographically constrained set of intrinsically
higher cited authors. We discuss several ways of mitigating the observed
effect, including splitting astro-ph into several subject classes, randomizing
the order of e-prints, and a novel approach to sorting entries by relevance to
individual readers.
| astro-ph cs.DL | we study the dependence of citation counts of eprints published on the arxivastroph server on their position in the daily astroph listing using the spires literature database we reconstruct the astroph listings from july 2002 to december 2005 and determine citation counts for eprints from their ads entry we use zipf plots to analyze the citation distributions for each astroph position we find that eprints appearing at or near the top of the astroph mailings receive significantly more citations than those further down the list this difference is significant at the 7 sigma level and on average amounts to two times more citations for papers at the top than those further down the listing we propose three possible nonexclusive explanations for this positional citation effect and try to test them we conclude that selfpromotion by authors plays a role in the observed effect but cannot exclude that increased visibility at the top of the daily listings contributes to higher citation counts as well we can rule out that the positional dependence of citations is caused by the coincidence of the submission deadline with the working hours of a geographically constrained set of intrinsically higher cited authors we discuss several ways of mitigating the observed effect including splitting astroph into several subject classes randomizing the order of eprints and a novel approach to sorting entries by relevance to individual readers | [['we', 'study', 'the', 'dependence', 'of', 'citation', 'counts', 'of', 'eprints', 'published', 'on', 'the', 'arxivastroph', 'server', 'on', 'their', 'position', 'in', 'the', 'daily', 'astroph', 'listing', 'using', 'the', 'spires', 'literature', 'database', 'we', 'reconstruct', 'the', 'astroph', 'listings', 'from', 'july', '2002', 'to', 'december', '2005', 'and', 'determine', 'citation', 'counts', 'for', 'eprints', 'from', 'their', 'ads', 'entry', 'we', 'use', 'zipf', 'plots', 'to', 'analyze', 'the', 'citation', 'distributions', 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712.1038 | Extended Anomalous Foreground Emission in the WMAP 3-Year Data | We study the spectral and morphological characteristics of the diffuse
Galactic emission in the WMAP temperature data using a template-based
multi-linear regression, and obtain the following results. 1. We confirm
previous observations of a bump in the dust-correlated spectrum, consistent
with the Draine & Lazarian spinning dust model. 2. We also confirm the "haze"
signal in the inner Galaxy, and argue that it does not follow a free-free
spectrum as first thought, but instead is synchrotron emission from a hard
electron cosmic-ray population. 3. In a departure from previous work, we allow
the spectrum of Halpha-correlated emission (which is used to trace the
free-free component) to float in the fit, and find that it does not follow the
expected free-free spectrum. Instead there is a bump near 50 GHz, modifying the
spectrum at the 20% level, which we speculate is caused by spinning dust in the
warm ionized medium. 4. The derived cross-correlation spectra are not sensitive
to the map zero points, but are sensitive to the choice of CMB estimator. In
cases where the CMB estimator is derived by minimizing variance of a linear
combination of the WMAP bands, we show that a bias proportional to the
cross-correlation of each template and the true CMB is always present. This
bias can be larger than any of the foreground signals in some bands. 5. Lastly,
we consider the frequency coverage and sensitivity of the Planck mission, and
suggest linear combination coefficients for the CMB template that will reduce
both the statistical and systematic uncertainty in the synchrotron and haze
spectra by more than an order of magnitude.
| astro-ph | we study the spectral and morphological characteristics of the diffuse galactic emission in the wmap temperature data using a templatebased multilinear regression and obtain the following results 1 we confirm previous observations of a bump in the dustcorrelated spectrum consistent with the draine lazarian spinning dust model 2 we also confirm the haze signal in the inner galaxy and argue that it does not follow a freefree spectrum as first thought but instead is synchrotron emission from a hard electron cosmicray population 3 in a departure from previous work we allow the spectrum of halphacorrelated emission which is used to trace the freefree component to float in the fit and find that it does not follow the expected freefree spectrum instead there is a bump near 50 ghz modifying the spectrum at the 20 level which we speculate is caused by spinning dust in the warm ionized medium 4 the derived crosscorrelation spectra are not sensitive to the map zero points but are sensitive to the choice of cmb estimator in cases where the cmb estimator is derived by minimizing variance of a linear combination of the wmap bands we show that a bias proportional to the crosscorrelation of each template and the true cmb is always present this bias can be larger than any of the foreground signals in some bands 5 lastly we consider the frequency coverage and sensitivity of the planck mission and suggest linear combination coefficients for the cmb template that will reduce both the statistical and systematic uncertainty in the synchrotron and haze spectra by more than an order of magnitude | [['we', 'study', 'the', 'spectral', 'and', 'morphological', 'characteristics', 'of', 'the', 'diffuse', 'galactic', 'emission', 'in', 'the', 'wmap', 'temperature', 'data', 'using', 'a', 'templatebased', 'multilinear', 'regression', 'and', 'obtain', 'the', 'following', 'results', '1', 'we', 'confirm', 'previous', 'observations', 'of', 'a', 'bump', 'in', 'the', 'dustcorrelated', 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712.1039 | The Corona Theorem on the Complements of Certain Square Cantor Sets | Let $K$ be a square Cantor set, i.e. the Cartesian product $K=E\times E$ of
two linear Cantor sets. Let $\delta_n$ denote the proportion of the intervals
removed in the $n$th stage of the construction of $E$. It is shown that if
$\delta_n=o(\frac1{\log\log n})$ then the corona theorem holds on the domain
$\Omega=\mathbb C^\ast\setminus K$.
| math.CV | let k be a square cantor set ie the cartesian product ketimes e of two linear cantor sets let delta_n denote the proportion of the intervals removed in the nth stage of the construction of e it is shown that if delta_nofrac1loglog n then the corona theorem holds on the domain omegamathbb castsetminus k | [['let', 'k', 'be', 'a', 'square', 'cantor', 'set', 'ie', 'the', 'cartesian', 'product', 'ketimes', 'e', 'of', 'two', 'linear', 'cantor', 'sets', 'let', 'delta_n', 'denote', 'the', 'proportion', 'of', 'the', 'intervals', 'removed', 'in', 'the', 'nth', 'stage', 'of', 'the', 'construction', 'of', 'e', 'it', 'is', 'shown', 'that', 'if', 'delta_nofrac1loglog', 'n', 'then', 'the', 'corona', 'theorem', 'holds', 'on', 'the', 'domain', 'omegamathbb', 'castsetminus', 'k']] | [-0.2045663778519477, 0.1665316473181341, -0.06664825170574819, -0.02731854984235457, -0.014852038639433244, -0.1087636010602628, 0.04275574841920067, 0.24824826872231914, -0.3288581471378897, -0.1672988374827101, 0.06490352497591327, -0.3302511480436021, -0.04536222597565867, 0.19657731604050188, -0.057521587491090244, -0.06893928842984286, 0.0674800775653007, 0.15416360105040902, -0.017174067701596546, -0.3000913257254105, 0.30677952434794575, -0.06756948997430942, 0.1964016372484027, 0.014115574692065517, 0.09791089232335341, -0.007085733937428278, 0.004167681368177428, 0.03511977597030208, -0.17233841828434093, 0.081608546034926, 0.25048207390286464, 0.16395729954591862, 0.32661450347479654, -0.35214519387512816, -0.12308404563102122, 0.2673529581002453, 0.1447970176334767, -0.14553390227842564, 0.11439421355231282, -0.23423005308152414, 0.17330481449836024, -0.1263240254392811, -0.1371422029629934, -0.010376295248302175, 0.12771929804162652, -0.018291013269666947, -0.337464557805409, -0.0328212222723546, 0.16823268835158908, 0.07829834269724932, -0.02494304725790725, -0.16712100750894524, -0.12394927189612359, 0.06181424871707956, -0.019697453064259653, 0.09800928081477098, 0.03862330670851995, 0.030561982745341228, -0.10230565413503963, 0.39285541051889167, -0.07987027487480174, -0.22494346049486422, 0.054462776647186746, -0.2694922363312513, -0.07354296148097252, 0.1085042868211281, 0.11725873092655092, 0.13764186893754146, -0.034719103673363436, 0.2604019165075585, -0.14132957946504557, 0.12813476655705303, 0.15452331998476795, -0.04681393034372698, 0.16062250981728235, 0.07428046370692112, 0.13563034357503057, 0.173128316560121, -0.04806275185033241, 0.04699164106711453, -0.37283840651313466, -0.09970291426882386, -0.261896821651973, 0.1625027792236092, -0.14639735669262854, -0.21953448352082083, 0.32119219704512875, 0.04822766763505106, 0.19759959263690546, 0.11720424680514079, 0.21273855298903643, 0.09948516633234891, -0.004555367965105118, 0.10223520933376516, 0.03106604918253188, 0.20586339178079666, -0.0564740008318468, -0.16840474479192613, 0.034039056823388036, 0.21870088290569245] |
712.104 | How rapidly do neutron stars spin at birth? Constraints from archival
X-ray observations of extragalactic supernovae | Traditionally, studies aimed at inferring the distribution of birth periods
of neutron stars are based on radio surveys. Here we propose an independent
method to constrain the pulsar spin periods at birth based on their X-ray
luminosities. In particular, the observed luminosity distribution of supernovae
poses a constraint on the initial rotational energy of the embedded pulsars,
via the L_X-dot{E}_{rot} correlation found for radio pulsars, and under the
assumption that this relation continues to hold beyond the observed range. We
have extracted X-ray luminosities (or limits) for a large sample of historical
SNe observed with Chandra, XMM and Swift, that have been firmly classified as
core-collapse supernovae. We have then compared these observational limits with
the results of Monte Carlo simulations of the pulsar X-ray luminosity
distribution, for a range of values of the birth parameters. We find that a
pulsar population dominated by millisecond periods at birth is ruled out by the
data.
| astro-ph | traditionally studies aimed at inferring the distribution of birth periods of neutron stars are based on radio surveys here we propose an independent method to constrain the pulsar spin periods at birth based on their xray luminosities in particular the observed luminosity distribution of supernovae poses a constraint on the initial rotational energy of the embedded pulsars via the l_xdote_rot correlation found for radio pulsars and under the assumption that this relation continues to hold beyond the observed range we have extracted xray luminosities or limits for a large sample of historical sne observed with chandra xmm and swift that have been firmly classified as corecollapse supernovae we have then compared these observational limits with the results of monte carlo simulations of the pulsar xray luminosity distribution for a range of values of the birth parameters we find that a pulsar population dominated by millisecond periods at birth is ruled out by the data | [['traditionally', 'studies', 'aimed', 'at', 'inferring', 'the', 'distribution', 'of', 'birth', 'periods', 'of', 'neutron', 'stars', 'are', 'based', 'on', 'radio', 'surveys', 'here', 'we', 'propose', 'an', 'independent', 'method', 'to', 'constrain', 'the', 'pulsar', 'spin', 'periods', 'at', 'birth', 'based', 'on', 'their', 'xray', 'luminosities', 'in', 'particular', 'the', 'observed', 'luminosity', 'distribution', 'of', 'supernovae', 'poses', 'a', 'constraint', 'on', 'the', 'initial', 'rotational', 'energy', 'of', 'the', 'embedded', 'pulsars', 'via', 'the', 'l_xdote_rot', 'correlation', 'found', 'for', 'radio', 'pulsars', 'and', 'under', 'the', 'assumption', 'that', 'this', 'relation', 'continues', 'to', 'hold', 'beyond', 'the', 'observed', 'range', 'we', 'have', 'extracted', 'xray', 'luminosities', 'or', 'limits', 'for', 'a', 'large', 'sample', 'of', 'historical', 'sne', 'observed', 'with', 'chandra', 'xmm', 'and', 'swift', 'that', 'have', 'been', 'firmly', 'classified', 'as', 'corecollapse', 'supernovae', 'we', 'have', 'then', 'compared', 'these', 'observational', 'limits', 'with', 'the', 'results', 'of', 'monte', 'carlo', 'simulations', 'of', 'the', 'pulsar', 'xray', 'luminosity', 'distribution', 'for', 'a', 'range', 'of', 'values', 'of', 'the', 'birth', 'parameters', 'we', 'find', 'that', 'a', 'pulsar', 'population', 'dominated', 'by', 'millisecond', 'periods', 'at', 'birth', 'is', 'ruled', 'out', 'by', 'the', 'data']] | [-0.043003048802561616, 0.14379855529095117, -0.0803278620975713, 0.15627992974922938, -0.13227823324915436, -0.04813059731051813, 0.10299091508575514, 0.4267515061191874, -0.16486719927257476, -0.34658225742625254, 0.10256374493664362, -0.3128812424440981, 0.01415807118158471, 0.30067164835130517, 0.020777289919898346, 0.003032740242904801, 0.10533426271666305, -0.06389070808692696, -0.09745343217741868, -0.26072392217463775, 0.3086804518037859, 0.0842750868973097, 0.20860513371873488, -0.050695845685683166, 0.1152056277436345, -0.0718723064367629, -0.06303288853343796, -0.03754785026307979, -0.14711528290530135, 0.0456225985015919, 0.2305057185148102, 0.16284873698159155, 0.18838696492671528, -0.4051823340889635, -0.23292261732778713, 0.10433239613057059, 0.17092432130091623, 0.017061991288381463, -0.03539490827216213, -0.2663226644660718, 0.0757605700251065, -0.23370205606120864, -0.16533211296769712, 0.045703135281679484, 0.06059847953516284, 0.10353821658170204, -0.1913193911435752, 0.11515276715101588, -0.001612236370253407, 0.09168053305787004, -0.15407674128700996, -0.1005884401250655, 0.004870451102641965, 0.052044625586550076, 0.08688895773253666, 0.019991252108726626, 0.09414579911656629, -0.12421408038300286, -0.10523334406339106, 0.35248672165999223, -0.024790575405205385, -0.015383511417989736, 0.19880535684600534, -0.22283837930877615, -0.22194042122843705, 0.1151322105327268, 0.177965345682905, 0.10183475739353039, -0.19312896520763734, 0.010505668121219607, -0.018109573673736914, 0.18550661988434644, 0.02350283374255097, 0.05270551609824978, 0.34497536011527175, 0.15462508243911904, -0.0072651086512076505, 0.09662566325639442, -0.2732749254111006, -0.025050587672131513, -0.23023316056887602, -0.023246101079374748, -0.18679435990349041, 0.14471679698870657, -0.09724009714794674, -0.11758063056390562, 0.34882583888856317, 0.1283351141819426, 0.1789637919320585, 0.09398085675871888, 0.24868006141113688, 0.14547980073885078, 0.08914368511847177, 0.11075912153932686, 0.3205553936510304, 0.15571111368526722, 0.09858760379827003, -0.22990237686819598, 0.13907279700856484, -0.029875179027584596] |
712.1041 | Supermassive Black Holes in Deep Multiwavelength Surveys | In recent years deep X-ray and infrared surveys have provided an efficient
way to find accreting supermassive black holes, otherwise known as active
galactic nuclei (AGN), in the young universe. Such surveys can, unlike optical
surveys, find AGN obscured by high column densities of gas and dust. In those
cases, deep optical data show only the host galaxy, which can then be studied
in greater detail than in unobscured AGN. Some years ago the hard spectrum of
the X-ray "background" suggested that most AGN were obscured. Now GOODS, MUSYC,
COSMOS and other surveys have confirmed this picture and given important
quantitative constraints on AGN demographics. Specifically, we show that most
AGN are obscured at all redshifts and the amount of obscuration depends on both
luminosity and redshift, at least out to redshift z~2, the epoch of substantial
black holes and galaxy growth. Larger-area deep infrared and hard X-ray surveys
will be needed to reach higher redshifts and to probe fully the co-evolution of
galaxies and black holes.
| astro-ph | in recent years deep xray and infrared surveys have provided an efficient way to find accreting supermassive black holes otherwise known as active galactic nuclei agn in the young universe such surveys can unlike optical surveys find agn obscured by high column densities of gas and dust in those cases deep optical data show only the host galaxy which can then be studied in greater detail than in unobscured agn some years ago the hard spectrum of the xray background suggested that most agn were obscured now goods musyc cosmos and other surveys have confirmed this picture and given important quantitative constraints on agn demographics specifically we show that most agn are obscured at all redshifts and the amount of obscuration depends on both luminosity and redshift at least out to redshift z2 the epoch of substantial black holes and galaxy growth largerarea deep infrared and hard xray surveys will be needed to reach higher redshifts and to probe fully the coevolution of galaxies and black holes | [['in', 'recent', 'years', 'deep', 'xray', 'and', 'infrared', 'surveys', 'have', 'provided', 'an', 'efficient', 'way', 'to', 'find', 'accreting', 'supermassive', 'black', 'holes', 'otherwise', 'known', 'as', 'active', 'galactic', 'nuclei', 'agn', 'in', 'the', 'young', 'universe', 'such', 'surveys', 'can', 'unlike', 'optical', 'surveys', 'find', 'agn', 'obscured', 'by', 'high', 'column', 'densities', 'of', 'gas', 'and', 'dust', 'in', 'those', 'cases', 'deep', 'optical', 'data', 'show', 'only', 'the', 'host', 'galaxy', 'which', 'can', 'then', 'be', 'studied', 'in', 'greater', 'detail', 'than', 'in', 'unobscured', 'agn', 'some', 'years', 'ago', 'the', 'hard', 'spectrum', 'of', 'the', 'xray', 'background', 'suggested', 'that', 'most', 'agn', 'were', 'obscured', 'now', 'goods', 'musyc', 'cosmos', 'and', 'other', 'surveys', 'have', 'confirmed', 'this', 'picture', 'and', 'given', 'important', 'quantitative', 'constraints', 'on', 'agn', 'demographics', 'specifically', 'we', 'show', 'that', 'most', 'agn', 'are', 'obscured', 'at', 'all', 'redshifts', 'and', 'the', 'amount', 'of', 'obscuration', 'depends', 'on', 'both', 'luminosity', 'and', 'redshift', 'at', 'least', 'out', 'to', 'redshift', 'z2', 'the', 'epoch', 'of', 'substantial', 'black', 'holes', 'and', 'galaxy', 'growth', 'largerarea', 'deep', 'infrared', 'and', 'hard', 'xray', 'surveys', 'will', 'be', 'needed', 'to', 'reach', 'higher', 'redshifts', 'and', 'to', 'probe', 'fully', 'the', 'coevolution', 'of', 'galaxies', 'and', 'black', 'holes']] | [-0.0030008141083146507, 0.08377711670440106, -0.04843291279463889, 0.18199629093378136, -0.1361515254735902, -0.0879811699095065, 0.04402867216382644, 0.5073158725465977, -0.09640093766638039, -0.33297928753950284, 0.09684815069850156, -0.3540725724515087, -0.021181625765776205, 0.21181699711394436, -0.02726003929448431, -0.02929356288928873, -0.022122536769170247, -0.16436418105184497, 0.004074475648680501, -0.3861159884153369, 0.29450147490862, 0.12576390342305213, 0.16727341653522618, -0.051749304802056605, 0.10451822728824851, -0.0747155741604413, -0.14140062286479477, 0.01651648378138342, -0.15972185647716358, 0.035746543604077516, 0.35062749673818755, 0.1576102322070653, 0.24253600229464561, -0.37385933532262455, -0.2511136594010952, 0.10331084209000747, 0.235053062400973, 0.0688110640165145, -0.10275297229245171, -0.2232481030423841, 0.03950901392813839, -0.2246875295660899, -0.1363324571517993, 0.01661932898941868, 0.03539927149035349, 0.029782094143980746, -0.14712310592995254, 0.1418456152683782, -0.01519270041332898, 0.04820188461986934, -0.12867583432248766, -0.06690060589629822, -0.07739464343597967, 0.06678038124067563, 0.05221392337126869, 0.09797119867045455, 0.21800951821127248, -0.23438583461088155, -0.06444392262464445, 0.3575639469035996, 0.017667266983561695, 0.08504592739380226, 0.24681306437555767, -0.28055380007341324, -0.2215583468536417, 0.1300584182469453, 0.18080003800506364, 0.14043783197112517, -0.15252511822381531, 0.011857916670014892, -0.02107153439470483, 0.26018215894342184, 0.010290944193138512, 0.12586133326226037, 0.4003545635430042, 0.0824948484600873, 0.04877650988369087, 0.08524214553201995, -0.1749749317023524, 0.03151696511895624, -0.18391626211675163, -0.04816516574672953, -0.1383792067798479, 0.1607156960338265, -0.16807059826615858, -0.07237571752546522, 0.27933466060555534, 0.09934746452557024, 0.19238353819826137, 0.03978076579068748, 0.31186965594489824, 0.04460750647867935, 0.11780995846318895, 0.12630125560134114, 0.39667217986477665, 0.10519062441321993, 0.07459953201873351, -0.1830182052802986, 0.04411734419060637, 0.022949984925938492] |
712.1042 | Nodal $d+id$ pairing and topological phases on the triangular lattice:
unconventional superconducting state of Na$_x$CoO$_2\cdot y$H$_2$O | We show that finite angular momentum pairing chiral superconductors on the
triangular lattice have point zeroes in the complex gap function. A topological
quantum phase transition takes place through a nodal superconducting state at a
specific carrier density $x_c$ where the normal state Fermi surface crosses the
isolated zeros. For spin singlet pairing, we show that the second nearest
neighbor $d+id$-wave pairing can be the dominant pairing channel. The gapless
critical state at $x_c\simeq0.25$ has six Dirac points and is topologically
nontrivial with a $T^3$ spin relaxation rate below $T_c$. This picture provides
a possible explanation for the unconventional superconducting state of
Na$_x$CoO$_2\cdot y$H$_2$O. Analyzing a pairing model with strong correlation
using the Gutzwiller projection and symmetry arguments, we study these
topological phases and phase transitions as a function of Na doping.
| cond-mat.str-el cond-mat.supr-con | we show that finite angular momentum pairing chiral superconductors on the triangular lattice have point zeroes in the complex gap function a topological quantum phase transition takes place through a nodal superconducting state at a specific carrier density x_c where the normal state fermi surface crosses the isolated zeros for spin singlet pairing we show that the second nearest neighbor didwave pairing can be the dominant pairing channel the gapless critical state at x_csimeq025 has six dirac points and is topologically nontrivial with a t3 spin relaxation rate below t_c this picture provides a possible explanation for the unconventional superconducting state of na_xcoo_2cdot yh_2o analyzing a pairing model with strong correlation using the gutzwiller projection and symmetry arguments we study these topological phases and phase transitions as a function of na doping | [['we', 'show', 'that', 'finite', 'angular', 'momentum', 'pairing', 'chiral', 'superconductors', 'on', 'the', 'triangular', 'lattice', 'have', 'point', 'zeroes', 'in', 'the', 'complex', 'gap', 'function', 'a', 'topological', 'quantum', 'phase', 'transition', 'takes', 'place', 'through', 'a', 'nodal', 'superconducting', 'state', 'at', 'a', 'specific', 'carrier', 'density', 'x_c', 'where', 'the', 'normal', 'state', 'fermi', 'surface', 'crosses', 'the', 'isolated', 'zeros', 'for', 'spin', 'singlet', 'pairing', 'we', 'show', 'that', 'the', 'second', 'nearest', 'neighbor', 'didwave', 'pairing', 'can', 'be', 'the', 'dominant', 'pairing', 'channel', 'the', 'gapless', 'critical', 'state', 'at', 'x_csimeq025', 'has', 'six', 'dirac', 'points', 'and', 'is', 'topologically', 'nontrivial', 'with', 'a', 't3', 'spin', 'relaxation', 'rate', 'below', 't_c', 'this', 'picture', 'provides', 'a', 'possible', 'explanation', 'for', 'the', 'unconventional', 'superconducting', 'state', 'of', 'na_xcoo_2cdot', 'yh_2o', 'analyzing', 'a', 'pairing', 'model', 'with', 'strong', 'correlation', 'using', 'the', 'gutzwiller', 'projection', 'and', 'symmetry', 'arguments', 'we', 'study', 'these', 'topological', 'phases', 'and', 'phase', 'transitions', 'as', 'a', 'function', 'of', 'na', 'doping']] | [-0.2629176978491076, 0.24215039235934302, -0.08993681454106824, 0.09343570855424832, -0.05897045934587034, -0.19508512654050275, 0.15199206940268117, 0.34593718104110677, -0.222895271159026, -0.19560764634356131, -0.02561360951033172, -0.34277368779116457, -0.11407512431014072, 0.09981581282034119, 0.11242266400994463, 0.014998223397966104, -0.0733541293382531, 0.022686736181890238, -0.2145249412509698, -0.2072693381426529, 0.36253805517553145, -0.056902039711690645, 0.32682271307433836, 0.09761588970280985, 0.021423830608090826, 0.01600709647466322, 0.17421456113393696, -0.02386996673085933, -0.15071743662446427, -0.021184859484547878, 0.28310805031112646, -0.09177858136125079, 0.15952012069409585, -0.3921738064186719, -0.23163617754582572, 0.058736770941683926, 0.14784220189481745, 0.14548470227417487, -0.06447165114014189, -0.304650766860324, 0.04930949498337644, -0.1937497941819766, -0.14762900093257542, -0.1282656690619445, -0.01576903176259335, -0.062367835851699, -0.21492929769260452, 0.11952277796186564, 0.08606265117023282, 0.08608882691718296, -0.061642867272616655, -0.15214243001581831, -0.09776343544945121, 0.03666980989376893, 0.02702204521855638, 0.10205635042925087, 0.10444578321678173, -0.12203835832658899, -0.10500436966546957, 0.3088542133683467, -0.031103717127658484, -0.09802465694636561, 0.15392888046379863, -0.1635697796881485, -0.08476924867980637, 0.1722060812766955, 0.07023996782652636, 0.04289932208462753, -0.07482041488401592, 0.1098321521897331, -0.050992860484562585, 0.1750809198393369, -0.007664853440355936, 0.08160521259232786, 0.29786917332645135, 0.18951096988233332, 0.11341251550555115, 0.11143874104635947, -0.15535834204771676, -0.1283011084679294, -0.28823356273520084, -0.1969978822260128, -0.27100905118410595, 0.07305952769753929, -0.06692163351505999, -0.18005289337491148, 0.436925518223376, 0.083081603314277, 0.24783228286933012, -0.05987691962451653, 0.21031503369747342, 0.14948713369152103, 0.050100918724166076, 0.05933755915256516, 0.1869503096784003, 0.14351154620517473, 0.0561760138917558, -0.3247751336714043, 0.046278251071979526, 0.09817891057495398] |
712.1043 | Nonequilibrium-induced metal-superconductor quantum phase transition in
graphene | We study the effects of dissipation and time-independent nonequilibrium drive
on an open superconducting graphene. In particular, we investigate how
dissipation and nonequilibrium effects modify the semi-metal-BCS quantum phase
transition that occurs at half-filling in equilibrium graphene with attractive
interactions. Our system consists of a graphene sheet sandwiched by two
semi-infinite three-dimensional Fermi liquid reservoirs, which act both as a
particle pump/sink and a source of decoherence. A steady-state charge current
is established in the system by equilibrating the two reservoirs at different,
but constant, chemical potentials. The nonequilibrium BCS superconductivity in
graphene is formulated using the Keldysh path integral formalism, and we obtain
generalized gap and number density equations valid for both zero and finite
voltages. The behaviour of the gap is discussed as a function of both
attractive interaction strength and electron densities for various
graphene-reservoir couplings and voltages. We discuss how tracing out the
dissipative environment (with or without voltage) leads to decoherence of
Cooper pairs in the graphene sheet, hence to a general suppression of the gap
order parameter at all densities. For weak enough attractive interactions we
show that the gap vanishes even for electron densities away from half-filling,
and illustrate the possibility of a dissipation-induced metal-superconductor
quantum phase transition. We find that the application of small voltages does
not alter the essential features of the gap as compared to the case when the
system is subject to dissipation alone (i.e. zero voltage).
| cond-mat.str-el cond-mat.mes-hall | we study the effects of dissipation and timeindependent nonequilibrium drive on an open superconducting graphene in particular we investigate how dissipation and nonequilibrium effects modify the semimetalbcs quantum phase transition that occurs at halffilling in equilibrium graphene with attractive interactions our system consists of a graphene sheet sandwiched by two semiinfinite threedimensional fermi liquid reservoirs which act both as a particle pumpsink and a source of decoherence a steadystate charge current is established in the system by equilibrating the two reservoirs at different but constant chemical potentials the nonequilibrium bcs superconductivity in graphene is formulated using the keldysh path integral formalism and we obtain generalized gap and number density equations valid for both zero and finite voltages the behaviour of the gap is discussed as a function of both attractive interaction strength and electron densities for various graphenereservoir couplings and voltages we discuss how tracing out the dissipative environment with or without voltage leads to decoherence of cooper pairs in the graphene sheet hence to a general suppression of the gap order parameter at all densities for weak enough attractive interactions we show that the gap vanishes even for electron densities away from halffilling and illustrate the possibility of a dissipationinduced metalsuperconductor quantum phase transition we find that the application of small voltages does not alter the essential features of the gap as compared to the case when the system is subject to dissipation alone ie zero voltage | [['we', 'study', 'the', 'effects', 'of', 'dissipation', 'and', 'timeindependent', 'nonequilibrium', 'drive', 'on', 'an', 'open', 'superconducting', 'graphene', 'in', 'particular', 'we', 'investigate', 'how', 'dissipation', 'and', 'nonequilibrium', 'effects', 'modify', 'the', 'semimetalbcs', 'quantum', 'phase', 'transition', 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712.1044 | Finding Extreme Subdwarfs | I develop a new technique to identify M-type extreme subdwarfs (esdMs) and
demonstrate that it is substantially more efficient than previous methods. I
begin by obtaining spectroscopy and improved photometry of a sample of 54
late-type halo candidates using the rNLTT reduced proper motion (RPM) diagram.
From spectroscopy, I find that four of these are esdMs, three of which were
previously unknown. From the improved photometry, I show that all four lie in a
narrow RPM corridor that contains only 4 non-esdMs. Hence, with good photometry
(i.e., without spectroscopy), it appears possible to select esdM candidates
with a 50% esdM yield. This is more than an order of magnitude more efficient
than previous methods.
| astro-ph | i develop a new technique to identify mtype extreme subdwarfs esdms and demonstrate that it is substantially more efficient than previous methods i begin by obtaining spectroscopy and improved photometry of a sample of 54 latetype halo candidates using the rnltt reduced proper motion rpm diagram from spectroscopy i find that four of these are esdms three of which were previously unknown from the improved photometry i show that all four lie in a narrow rpm corridor that contains only 4 nonesdms hence with good photometry ie without spectroscopy it appears possible to select esdm candidates with a 50 esdm yield this is more than an order of magnitude more efficient than previous methods | [['i', 'develop', 'a', 'new', 'technique', 'to', 'identify', 'mtype', 'extreme', 'subdwarfs', 'esdms', 'and', 'demonstrate', 'that', 'it', 'is', 'substantially', 'more', 'efficient', 'than', 'previous', 'methods', 'i', 'begin', 'by', 'obtaining', 'spectroscopy', 'and', 'improved', 'photometry', 'of', 'a', 'sample', 'of', '54', 'latetype', 'halo', 'candidates', 'using', 'the', 'rnltt', 'reduced', 'proper', 'motion', 'rpm', 'diagram', 'from', 'spectroscopy', 'i', 'find', 'that', 'four', 'of', 'these', 'are', 'esdms', 'three', 'of', 'which', 'were', 'previously', 'unknown', 'from', 'the', 'improved', 'photometry', 'i', 'show', 'that', 'all', 'four', 'lie', 'in', 'a', 'narrow', 'rpm', 'corridor', 'that', 'contains', 'only', '4', 'nonesdms', 'hence', 'with', 'good', 'photometry', 'ie', 'without', 'spectroscopy', 'it', 'appears', 'possible', 'to', 'select', 'esdm', 'candidates', 'with', 'a', '50', 'esdm', 'yield', 'this', 'is', 'more', 'than', 'an', 'order', 'of', 'magnitude', 'more', 'efficient', 'than', 'previous', 'methods']] | [-0.01902104825395244, 0.09324879119535168, -0.1023060616613789, 0.045986758118537675, -0.1165457221298394, -0.16456781749359586, 0.09392424877732992, 0.4349346447736025, -0.14447206364605913, -0.3835382046855309, 0.0933821142767556, -0.2938359866045754, -0.08547841685993428, 0.26038490230937233, -0.04934855903477662, -0.026109616524031893, 0.09486116731370037, -0.017259736824780703, -0.07384897022645666, -0.29005966022483665, 0.25348950881849636, -0.009525542064908554, 0.1815774352871813, -0.10814599400724877, 0.0546870342286473, -0.05140899070538581, -0.09844901478764685, 0.02912735592954877, -0.13506051631014668, 0.11317793984304775, 0.235045673484406, 0.1103991104374555, 0.24691526982086626, -0.31492820989138137, -0.21259293320842765, 0.05733127164739099, 0.1811059477442706, 0.08731690929588777, -0.03974579064881916, -0.23807476293401453, 0.12970275655388833, -0.17836266220970587, -0.1397050099320371, -0.07368014733352042, 0.05449352535334501, -0.019843802660364996, -0.26018671362914825, 0.07104883703233844, 0.025488705648405646, 0.11198048813437873, -0.07661147020672533, -0.17782882257280025, -0.0274331783071499, 0.07857353642413561, -0.03693704049060629, 0.0744603648157367, 0.0782948074312034, -0.10921116077619941, -0.08253822525624524, 0.3842004862021316, -0.06223452524586306, -0.07269096640361981, 0.23950223419815303, -0.1588683335660872, -0.1205607444555922, 0.199183004332537, 0.08149056982418353, 0.19991468284675978, -0.21533284917135131, -0.03557445882629095, -0.018069134390150957, 0.19489455322989008, 0.047845409349115055, 0.04382105773653496, 0.1775919120970436, 0.15184677629308266, 0.08816610589962114, 0.0777371884746985, -0.1842452639544552, -0.005440246714384887, -0.22611391991376878, -0.13501221554523166, -0.11587870930512012, 0.056499462506987834, -0.10400152881179979, -0.10725173664871943, 0.36755943803794006, 0.1964974515902048, 0.19483999447389083, 0.02399126882347363, 0.29781919943846086, 0.0637764551888474, 0.12810367979109288, 0.09972817449068481, 0.294396497385407, 0.07568014021539553, 0.027721345619383185, -0.1841585988263515, 0.010509031239516017, -0.007917680819942192] |
712.1045 | Optical Link of the Atlas Pixel Detector | The on-detector optical link of the ATLAS pixel detector contains
radiation-hard receiver chips to decode bi-phase marked signals received on PIN
arrays and data transmitter chips to drive VCSEL arrays. The components are
mounted on hybrid boards (opto-boards). We present results from the irradiation
studies with 24 GeV protons up to 32 Mrad (1.2 x 10^15 p/cm^2) and the
experience from the production.
| physics.ins-det hep-ex | the ondetector optical link of the atlas pixel detector contains radiationhard receiver chips to decode biphase marked signals received on pin arrays and data transmitter chips to drive vcsel arrays the components are mounted on hybrid boards optoboards we present results from the irradiation studies with 24 gev protons up to 32 mrad 12 x 1015 pcm2 and the experience from the production | [['the', 'ondetector', 'optical', 'link', 'of', 'the', 'atlas', 'pixel', 'detector', 'contains', 'radiationhard', 'receiver', 'chips', 'to', 'decode', 'biphase', 'marked', 'signals', 'received', 'on', 'pin', 'arrays', 'and', 'data', 'transmitter', 'chips', 'to', 'drive', 'vcsel', 'arrays', 'the', 'components', 'are', 'mounted', 'on', 'hybrid', 'boards', 'optoboards', 'we', 'present', 'results', 'from', 'the', 'irradiation', 'studies', 'with', '24', 'gev', 'protons', 'up', 'to', '32', 'mrad', '12', 'x', '1015', 'pcm2', 'and', 'the', 'experience', 'from', 'the', 'production']] | [-0.14201462460637448, 0.15207192632425132, -0.0007201966400893908, -0.04223214376058119, -0.01920629682995024, -0.2511037617093987, 0.03675830108483159, 0.46563973076759824, -0.17947986866125748, -0.363433931377672, 0.07605412904734886, -0.44120966122737004, -0.00602128461653751, 0.20626276326070112, -0.05597768475150039, 0.03845889627423492, 0.09296671432694273, -0.02697548655320018, -0.014725258706935815, -0.20188979071284097, 0.13941029802201285, 0.11359351295386515, 0.28475392871491967, -0.0018067587359202287, 0.16679493724627215, -0.015343067668644446, -0.003982507086928106, -0.14149365792908367, -0.0958501345788439, 0.06285445756530242, 0.2771890162386828, 0.07376355685234542, 0.11257177524800811, -0.4850097605810752, -0.09938756216480027, 0.08115034955479795, 0.03601672144173386, -0.01745391158120973, -0.07380905018247191, -0.2919093073005714, 0.12070486168303186, -0.16490233342148483, -0.06717434494168542, 0.10905023229618867, -0.056856394080179076, 0.09185336234550627, -0.24936072262639683, -0.08677166529251115, -0.0257625812960286, 0.05882024194302392, -0.016386421075800343, -0.1962020399108056, -0.018747580311601123, 0.08993527387815808, -0.06162186058622504, 0.0906593937755725, 0.23219884149286718, -0.06371267322803818, -0.12813697351763645, 0.2630681130436382, -0.0019527494256931638, -0.1201630113794217, 0.17975174481167444, -0.2209251213020512, -0.08544961588516359, 0.2479098715139405, 0.2683022962587457, -0.007918273934000542, -0.18056238994939208, 0.0022686852404611214, 0.08359856359542363, 0.2887459777495159, 0.14032845379367087, 0.060026210289271104, 0.19095770359068873, 0.23486259955144118, 0.01390746491857239, 0.1426304283307954, -0.2492043543237424, 0.037533362056054766, -0.27692509337147286, -0.0990717565079057, -0.14962975314951368, 0.05750338447147182, -0.02161930935292889, -0.035388040666778885, 0.35631456569073694, 0.13698111969001947, 0.13376966766303494, 0.004297532303820527, 0.3578113897718371, 0.009460166643654544, 0.16823557974208916, 0.028962918512877963, 0.24497527363044874, 0.17268710115569688, 0.17033450726774477, -0.11595650198352006, -0.05432020038336752, -0.04450915722797314] |
712.1046 | Polylogarithms, hyperfunctions and generalized Lipschitz summation
formulae | A generalization of the classical Lipschitz summation formula is proposed. It
involves new polylogarithmic rational functions constructed via the Fourier
expansion of certain sequences of Bernoulli--type polynomials. Related families
of one--dimensional hyperfunctions are also constructed.
| math.NT math-ph math.CV math.MP | a generalization of the classical lipschitz summation formula is proposed it involves new polylogarithmic rational functions constructed via the fourier expansion of certain sequences of bernoullitype polynomials related families of onedimensional hyperfunctions are also constructed | [['a', 'generalization', 'of', 'the', 'classical', 'lipschitz', 'summation', 'formula', 'is', 'proposed', 'it', 'involves', 'new', 'polylogarithmic', 'rational', 'functions', 'constructed', 'via', 'the', 'fourier', 'expansion', 'of', 'certain', 'sequences', 'of', 'bernoullitype', 'polynomials', 'related', 'families', 'of', 'onedimensional', 'hyperfunctions', 'are', 'also', 'constructed']] | [-0.17193042231457575, 0.06143360366778714, -0.11095889689666884, 0.10267929121120167, -0.12162520278777395, -0.1361155601484435, 0.00438229792884418, 0.26882239816976444, -0.35766745880246165, -0.15894147729434605, 0.0833781503573326, -0.20084058323076792, -0.235025419401271, 0.2896584444812366, -0.08960020039230585, 0.1289622511847743, 0.01731585428517844, 0.019311333394476344, -0.11663606089672872, -0.32660211479025225, 0.3484969696030021, -0.02642418752823557, 0.2178703387933118, -0.013938140962272883, 0.13558492592668958, 0.04117460725829005, -0.10576733674055763, -0.09649204555898905, -0.16165890012468612, 0.16426175713006938, 0.24352574997714588, 0.11064318209620459, 0.2500251445653183, -0.3574303728661367, -0.14421989617070982, 0.15731227387275015, 0.17750866023291434, 0.0035828034526535443, -0.02228617662830012, -0.23952075163168565, 0.028569403317357814, -0.16329386932775378, -0.19207112927521977, -0.18111097578491483, -0.025803050625004938, 0.1432677709098373, -0.29282977389437814, 0.06416222578762765, 0.09071728911783014, 0.0553202591990287, -0.03225856383464166, -0.13592902386028852, 0.01769863557336586, 0.07278476145916751, -0.014414244604163936, 0.03924742372972625, 0.04151925559022597, -0.033901027776300906, -0.15241521487810783, 0.3174439426777618, -0.03546061143279076, -0.29062137880495614, 0.10473305386091981, -0.1312470122639622, -0.16092556125617452, 0.1590881498530507, 0.05210536042494433, 0.20417566858232022, -0.11703923352594886, 0.16418089076344455, -0.1468540394944804, 0.04840931890981405, 0.21607917601774845, 0.020031155193490642, 0.06267486360988446, -0.013373003421085222, 0.024661890443946635, 0.26741315669247084, 0.056633557911430085, -0.16403640380927495, -0.35011733887451035, -0.12380062307098082, -0.24026796208428486, 0.040146543431494916, -0.20045566697205816, -0.2892071797379426, 0.405913137112345, 0.0013005697750486434, 0.1314713105492826, 0.15278059978570258, 0.22086208739451, 0.20178845817489283, 0.10348152904438652, 0.0022013412389372076, 0.07587829104491643, 0.22753771000674794, 0.024120571444343243, -0.11977098217965769, 0.04720889122857313, 0.3019965615256556] |
712.1047 | The sorting order on a Coxeter group | Let $(W,S)$ be an arbitrary Coxeter system. For each word $\omega$ in the
generators we define a partial order--called the {\sf $\omega$-sorting
order}--on the set of group elements $W_\omega\subseteq W$ that occur as
subwords of $\omega$. We show that the $\omega$-sorting order is a
supersolvable join-distributive lattice and that it is strictly between the
weak and Bruhat orders on the group. Moreover, the $\omega$-sorting order is a
"maximal lattice" in the sense that the addition of any collection of Bruhat
covers results in a nonlattice. Along the way we define a class of structures
called {\sf supersolvable antimatroids} and we show that these are equivalent
to the class of supersolvable join-distributive lattices.
| math.CO math.GR | let ws be an arbitrary coxeter system for each word omega in the generators we define a partial ordercalled the sf omegasorting orderon the set of group elements w_omegasubseteq w that occur as subwords of omega we show that the omegasorting order is a supersolvable joindistributive lattice and that it is strictly between the weak and bruhat orders on the group moreover the omegasorting order is a maximal lattice in the sense that the addition of any collection of bruhat covers results in a nonlattice along the way we define a class of structures called sf supersolvable antimatroids and we show that these are equivalent to the class of supersolvable joindistributive lattices | [['let', 'ws', 'be', 'an', 'arbitrary', 'coxeter', 'system', 'for', 'each', 'word', 'omega', 'in', 'the', 'generators', 'we', 'define', 'a', 'partial', 'ordercalled', 'the', 'sf', 'omegasorting', 'orderon', 'the', 'set', 'of', 'group', 'elements', 'w_omegasubseteq', 'w', 'that', 'occur', 'as', 'subwords', 'of', 'omega', 'we', 'show', 'that', 'the', 'omegasorting', 'order', 'is', 'a', 'supersolvable', 'joindistributive', 'lattice', 'and', 'that', 'it', 'is', 'strictly', 'between', 'the', 'weak', 'and', 'bruhat', 'orders', 'on', 'the', 'group', 'moreover', 'the', 'omegasorting', 'order', 'is', 'a', 'maximal', 'lattice', 'in', 'the', 'sense', 'that', 'the', 'addition', 'of', 'any', 'collection', 'of', 'bruhat', 'covers', 'results', 'in', 'a', 'nonlattice', 'along', 'the', 'way', 'we', 'define', 'a', 'class', 'of', 'structures', 'called', 'sf', 'supersolvable', 'antimatroids', 'and', 'we', 'show', 'that', 'these', 'are', 'equivalent', 'to', 'the', 'class', 'of', 'supersolvable', 'joindistributive', 'lattices']] | [-0.18870910093906001, 0.13918694144730573, -0.029209844883394624, 0.02242865878127413, -0.08708489142836781, -0.0804592831222631, 0.055173451465409286, 0.40329404612746805, -0.3403148050804477, -0.1596572800078045, 0.08087268848198577, -0.29602030546771824, -0.1310817397866022, 0.1670322899189735, -0.06923554677926345, -0.0430626651878819, 0.04405945934218551, 0.11655249428046748, -0.0686874899825235, -0.28319359751879625, 0.3506416333155758, -0.09245281829712314, 0.23620725404727486, 0.023290199565128723, 0.08380051267358961, 0.00566586413113144, 0.016531529911118774, 0.07176663115227577, -0.16719162950689803, 0.136306648219534, 0.2582310893222553, 0.05947314591975797, 0.2081137727775158, -0.3247548116909323, -0.11564683699724052, 0.16842877607655907, 0.12340957629109878, 0.045174092498667745, -0.001066836703637051, -0.24269774008473946, 0.16180017271608865, -0.1923071055784138, -0.12671532049997275, -0.029149596041085524, 0.07093202221899404, 0.058060686086911124, -0.29188097928813017, -0.017578156844396658, 0.1348679950546234, 0.05899767993966442, -0.007020154275820343, -0.07844241320074391, -0.04610465886712142, 0.0872955538499075, -0.07250342013767211, 0.0591723204829619, 0.03882403350050707, -0.05814051036637516, -0.16093393054752345, 0.45487424854291686, -0.033492984036581776, -0.21384805628876075, 0.14998924404322897, -0.20914532872207395, -0.15523334364022273, 0.11771390025307416, 0.10165326932974912, 0.1039697296165545, -0.048407224609320045, 0.15584349451819435, -0.17147816300238355, 0.14549881604782075, 0.08613543293156892, 0.03690740774137848, 0.09360148408236581, 0.0987072632340458, 0.11181409038398243, 0.13893045648748756, 0.006367799435067204, 0.003747393898324135, -0.3532527294864348, -0.19962765003443447, -0.132732101780183, 0.06103468789086771, -0.1030397623970436, -0.19430884527931108, 0.37490661785758417, 0.12258949092324448, 0.18129395470535808, 0.08810517873717558, 0.1594566380938327, 0.08793818777859096, 0.09627972114318555, 0.04911592349606575, 0.09818800645047338, 0.1605009714978824, -0.04779995851423762, -0.19288988163002654, 0.0163397157240078, 0.18221459625750233] |
712.1048 | Lasing of donor-bound excitons in ZnSe microdisks | Excitons bound to flourine atoms in ZnSe have the potential for several
quantum optical applications. Examples include optically accessible quantum
memories for quantum information processing and lasing without inversion. These
applications require the bound-exciton transitions to be coupled to cavities
with high cooperativity factors, which results in the experimental observation
of low-threshold lasing. We report such lasing from fluorine-doped ZnSe quantum
wells in 3 and 6 micron microdisk cavities. Photoluminescence and selective
photoluminescence spectroscopy confirm that the lasing is due to bound-exciton
transitions.
| quant-ph | excitons bound to flourine atoms in znse have the potential for several quantum optical applications examples include optically accessible quantum memories for quantum information processing and lasing without inversion these applications require the boundexciton transitions to be coupled to cavities with high cooperativity factors which results in the experimental observation of lowthreshold lasing we report such lasing from fluorinedoped znse quantum wells in 3 and 6 micron microdisk cavities photoluminescence and selective photoluminescence spectroscopy confirm that the lasing is due to boundexciton transitions | [['excitons', 'bound', 'to', 'flourine', 'atoms', 'in', 'znse', 'have', 'the', 'potential', 'for', 'several', 'quantum', 'optical', 'applications', 'examples', 'include', 'optically', 'accessible', 'quantum', 'memories', 'for', 'quantum', 'information', 'processing', 'and', 'lasing', 'without', 'inversion', 'these', 'applications', 'require', 'the', 'boundexciton', 'transitions', 'to', 'be', 'coupled', 'to', 'cavities', 'with', 'high', 'cooperativity', 'factors', 'which', 'results', 'in', 'the', 'experimental', 'observation', 'of', 'lowthreshold', 'lasing', 'we', 'report', 'such', 'lasing', 'from', 'fluorinedoped', 'znse', 'quantum', 'wells', 'in', '3', 'and', '6', 'micron', 'microdisk', 'cavities', 'photoluminescence', 'and', 'selective', 'photoluminescence', 'spectroscopy', 'confirm', 'that', 'the', 'lasing', 'is', 'due', 'to', 'boundexciton', 'transitions']] | [-0.047605748619345654, 0.22608441339401775, 0.0033943160964422917, -0.05188064361748521, 0.025687605529709393, -0.2531017650210534, 0.09613146400640168, 0.519830490507365, -0.18298985653119273, -0.2986994032041136, 0.05909945905146873, -0.33119462386716203, -0.13406563748841185, 0.2427847205313394, 0.008028943770486548, 0.1118648861764919, 0.027613109472089906, -0.12637058084449135, 0.04323890116570674, -0.18177046490754617, 0.19897535938000957, 0.02621085701106363, 0.3149527285349028, 0.13933130546125122, 0.0451946705748069, -0.048442006638520455, 0.10809147097058146, -0.12218469790889915, -0.14282269295943545, 0.10357109643518925, 0.32528331469609795, -0.046517533105685856, 0.23184319513748927, -0.45597589193248605, -0.23924157190619103, 0.0335249508876937, 0.15455137530106108, 0.2183131820407236, -0.14754557453589626, -0.3365051613290267, 0.027548390047916448, -0.07289155921618264, -0.03989855750991279, -0.10371790274259556, -0.037081970709813644, 0.00518225590103721, -0.23660299259361373, 0.025313288792518967, 0.02597939015467124, 0.09074954809031886, -0.05220174657584852, -0.050188125257032465, 0.03166978706953576, 0.051835176433963945, -0.12305395860864546, -0.06585042876140944, 0.25313886271856995, -0.13657107374754296, -0.24540682691878762, 0.3503626110705446, -0.06377235566355648, -0.016335856595850854, 0.18835897950163807, -0.17989417037320693, -0.06591790264292834, 0.20149469164660178, 0.12654778604810857, 0.08049784784194038, -0.0714001233005021, 0.038098275897805636, 0.06286981293415449, 0.23948561378855662, 0.13987100591142493, 0.24567499258050537, 0.20871089428034892, 0.12572866453822837, -0.0024878152292670615, 0.16289214995487716, -0.10537768283252974, -0.05193942667445146, -0.21454511279330016, -0.19312621999520763, -0.2139025743916092, 0.14022056301719094, -0.056029994932952874, -0.14277242259290743, 0.3551153659775674, 0.12622621645365495, 0.13633684671472712, -0.06256883405008723, 0.25657668403708883, 0.11036055069136243, 0.13348687608468246, -0.023813231169324683, 0.3147923827440624, 0.23168476398316135, 0.10814755462132485, -0.28970397211308313, -0.061341985549598216, -0.09326292263590787] |
712.1049 | Interplay of Higgs and Sparticle Masses in the CMSSM with updated SUSY
constraints | We estimate the bounds on Higgs and sparticle masses and discuss their
correlations in the constrained minimal supersymmetric standard model (CMSSM).
In our analysis we have applied the present constraints from collider and low
energy experiments, as well as the experimental bound on cold dark matter from
WMAP. For a given lightest Higgs boson mass, which is expected to be measured
with good precision at the LHC, we find important correlations between the
Higgs and sparticle masses which allows one to delineate the MSSM model
parameters and particle spectra. We have also demonstrated an important
complementarity between the LHC and direct dark matter detection experiments
emphasizing that by including the experimental input both from collider physics
and from dark matter detection experiments, one would significantly improve the
measurement of the SUSY spectrum and the underlying parameter space.
| hep-ph | we estimate the bounds on higgs and sparticle masses and discuss their correlations in the constrained minimal supersymmetric standard model cmssm in our analysis we have applied the present constraints from collider and low energy experiments as well as the experimental bound on cold dark matter from wmap for a given lightest higgs boson mass which is expected to be measured with good precision at the lhc we find important correlations between the higgs and sparticle masses which allows one to delineate the mssm model parameters and particle spectra we have also demonstrated an important complementarity between the lhc and direct dark matter detection experiments emphasizing that by including the experimental input both from collider physics and from dark matter detection experiments one would significantly improve the measurement of the susy spectrum and the underlying parameter space | [['we', 'estimate', 'the', 'bounds', 'on', 'higgs', 'and', 'sparticle', 'masses', 'and', 'discuss', 'their', 'correlations', 'in', 'the', 'constrained', 'minimal', 'supersymmetric', 'standard', 'model', 'cmssm', 'in', 'our', 'analysis', 'we', 'have', 'applied', 'the', 'present', 'constraints', 'from', 'collider', 'and', 'low', 'energy', 'experiments', 'as', 'well', 'as', 'the', 'experimental', 'bound', 'on', 'cold', 'dark', 'matter', 'from', 'wmap', 'for', 'a', 'given', 'lightest', 'higgs', 'boson', 'mass', 'which', 'is', 'expected', 'to', 'be', 'measured', 'with', 'good', 'precision', 'at', 'the', 'lhc', 'we', 'find', 'important', 'correlations', 'between', 'the', 'higgs', 'and', 'sparticle', 'masses', 'which', 'allows', 'one', 'to', 'delineate', 'the', 'mssm', 'model', 'parameters', 'and', 'particle', 'spectra', 'we', 'have', 'also', 'demonstrated', 'an', 'important', 'complementarity', 'between', 'the', 'lhc', 'and', 'direct', 'dark', 'matter', 'detection', 'experiments', 'emphasizing', 'that', 'by', 'including', 'the', 'experimental', 'input', 'both', 'from', 'collider', 'physics', 'and', 'from', 'dark', 'matter', 'detection', 'experiments', 'one', 'would', 'significantly', 'improve', 'the', 'measurement', 'of', 'the', 'susy', 'spectrum', 'and', 'the', 'underlying', 'parameter', 'space']] | [-0.013824784319276792, 0.1834355583152076, -0.08990067173556908, 0.17456703010800356, -0.08355872846466836, -0.16213074008030068, 0.01038848055886907, 0.3165333065574812, -0.2123260381903472, -0.39799523194504044, 0.06574464797375411, -0.2917649663941651, -0.022028602175771454, 0.21123767193886078, 0.05491203533988582, 0.12837956498383823, 0.08380922097984674, 0.01747776650191441, -0.06166984077481839, -0.25099706549935014, 0.2789181299154123, 0.09792963284183376, 0.2006956689997855, 0.12374532948771533, 0.08022712309756418, 0.002811569273539812, -0.035674667835616285, -0.0751563802288835, -0.1755823468414826, 0.105863019283589, 0.21948596269544893, 0.1282020706248327, 0.10399257746375554, -0.3550796489890692, -0.1801863459931401, 0.20338718613854398, 0.14622373455441998, 0.09247020224659928, -0.10720674445628305, -0.3542055571655722, 0.054921517695850915, -0.20670488525358757, -0.035431810559528154, -0.07891481815935894, -0.07494411236151075, -0.08204353243166948, -0.29209499838795977, 0.11394470064356128, -0.08690772565798902, -0.019247335599341095, -0.05481607913095708, -0.17982590512073443, -0.08222216693004661, 0.009861514335974072, 0.1336337345444944, -0.04541521647224461, 0.1948459577019306, -0.22105940179491457, -0.1558372294266851, 0.42558077896816016, -0.10618466067121085, -0.14188214032706825, 0.2109902087109585, -0.1641313659577855, -0.16045082081109285, 0.06809247548209273, 0.21959654764564585, 0.052823976783530555, -0.09596111608098132, 0.17140619277492689, -0.061225482561781897, 0.1987632918069615, 0.02647050853349595, 0.07534225599459597, 0.320948433817575, 0.22480534527528975, 0.08244500017935669, 0.05241915184399453, -0.11851783774038573, -0.06306897791061741, -0.4069995558446776, -0.10624255998490079, -0.11219435667510341, -0.04341331150732853, -0.07750240779362014, -0.0428505617518481, 0.4035736190556229, 0.18259525998413945, 0.29207249458566525, 0.029580034024972657, 0.33724675624441003, 0.06900043773590621, 0.06664029310370734, 0.009218365525661961, 0.36720768058074327, 0.11113670365171113, 0.09457499961824203, -0.2326820782848029, -0.01351715965250874, 0.019115817141685174] |
712.105 | Quantitative analysis of resolved X-ray emission line profiles of O
stars | By quantitatively fitting simple emission line profile models that include
both atomic opacity and porosity to the Chandra X-ray spectrum of $\zeta$ Pup,
we are able to explore the trade-offs between reduced mass-loss rates and wind
porosity. We find that reducing the mass-loss rate of $\zeta$ Pup by roughly a
factor of four, to 1.5 \times 10^{-6} M_sun/yr, enables simple non-porous wind
models to provide good fits to the data. If, on the other hand, we take the
literature mass-loss rate of 6 \times 10^{-6} M_sun/yr, then to produce X-ray
line profiles that fit the data, extreme porosity lengths -- of $h_{\infty}
\approx 3$ Rstar -- are required. Moreover, these porous models do not provide
better fits to the data than the non-porous, low optical depth models.
Additionally, such huge porosity lengths do not seem realistic in light of 2-D
numerical simulations of the wind instability.
| astro-ph | by quantitatively fitting simple emission line profile models that include both atomic opacity and porosity to the chandra xray spectrum of zeta pup we are able to explore the tradeoffs between reduced massloss rates and wind porosity we find that reducing the massloss rate of zeta pup by roughly a factor of four to 15 times 106 m_sunyr enables simple nonporous wind models to provide good fits to the data if on the other hand we take the literature massloss rate of 6 times 106 m_sunyr then to produce xray line profiles that fit the data extreme porosity lengths of h_infty approx 3 rstar are required moreover these porous models do not provide better fits to the data than the nonporous low optical depth models additionally such huge porosity lengths do not seem realistic in light of 2d numerical simulations of the wind instability | [['by', 'quantitatively', 'fitting', 'simple', 'emission', 'line', 'profile', 'models', 'that', 'include', 'both', 'atomic', 'opacity', 'and', 'porosity', 'to', 'the', 'chandra', 'xray', 'spectrum', 'of', 'zeta', 'pup', 'we', 'are', 'able', 'to', 'explore', 'the', 'tradeoffs', 'between', 'reduced', 'massloss', 'rates', 'and', 'wind', 'porosity', 'we', 'find', 'that', 'reducing', 'the', 'massloss', 'rate', 'of', 'zeta', 'pup', 'by', 'roughly', 'a', 'factor', 'of', 'four', 'to', '15', 'times', '106', 'm_sunyr', 'enables', 'simple', 'nonporous', 'wind', 'models', 'to', 'provide', 'good', 'fits', 'to', 'the', 'data', 'if', 'on', 'the', 'other', 'hand', 'we', 'take', 'the', 'literature', 'massloss', 'rate', 'of', '6', 'times', '106', 'm_sunyr', 'then', 'to', 'produce', 'xray', 'line', 'profiles', 'that', 'fit', 'the', 'data', 'extreme', 'porosity', 'lengths', 'of', 'h_infty', 'approx', '3', 'rstar', 'are', 'required', 'moreover', 'these', 'porous', 'models', 'do', 'not', 'provide', 'better', 'fits', 'to', 'the', 'data', 'than', 'the', 'nonporous', 'low', 'optical', 'depth', 'models', 'additionally', 'such', 'huge', 'porosity', 'lengths', 'do', 'not', 'seem', 'realistic', 'in', 'light', 'of', '2d', 'numerical', 'simulations', 'of', 'the', 'wind', 'instability']] | [-0.048654171554113015, 0.09365678157579775, -0.04142458643117505, 0.09075618129120105, -0.07145745725817203, -0.12785550675794688, 0.06465138354623276, 0.4647404388524592, -0.19984752560008523, -0.34032773290527984, 0.09718217384296521, -0.2814554692902473, -0.022014892521838192, 0.22976714176184032, -0.061354674415067874, 0.040505940369459696, 0.0744282762469892, -0.0820984052613009, -0.07794225831215347, -0.2785866460407205, 0.25481366646514897, 0.08163968311661544, 0.21188542813049732, 0.04466192423650581, 0.031492621465683136, -0.11923834126921268, -0.027545968028587393, -0.032372473336484596, -0.2322667793559453, 0.08075185541787909, 0.20543031935135836, 0.13915953112882562, 0.1538258221310874, -0.4385807890858915, -0.26274350258366513, 0.06075800509036829, 0.1782601962202332, 0.0077725415087317945, 0.02290807028879903, -0.15020278749256655, 0.07152508618310094, -0.20633568853372708, -0.14444627192440546, -0.02728001008573402, 0.05648589121928024, 0.04355452938519496, -0.3021208485847132, 0.13510241277334797, -0.011798599396166133, 0.06957843786545305, -0.1225257813574798, -0.11400752735951553, -0.06727225942369033, 0.06086406205577077, 0.061087523755203516, 0.02759771676210221, 0.16357733792715912, -0.13726950817443948, -0.004483510248569978, 0.39789307030150667, -0.07464323228618418, -0.07737247810129905, 0.23364698543446139, -0.19980515061373202, -0.09213472731708963, 0.2185158926101091, 0.17932588976044725, 0.08525110995590997, -0.12326674371595597, -0.04937222348619091, -0.04436344047927479, 0.26273899611907026, 0.073114530812341, 0.005896276145196882, 0.20259693823754787, 0.10621666015261629, -0.016797935939393938, 0.057858535622573176, -0.18299566190398764, -0.021966404195861995, -0.22494501689733523, -0.08678901847128549, -0.08462957395628716, 0.11114922042684662, -0.2060439976887412, -0.13013440570405996, 0.3161447623917613, 0.18639471725974646, 0.24915914041533446, 0.08063965093202165, 0.30836201501855004, 0.1148444465086666, 0.0842951387555028, 0.12235665662835042, 0.26457123634948704, 0.1256050625718975, 0.08602110460439387, -0.20336484172649863, 0.09377563334096016, 0.009689742650759095] |
712.1051 | The world underground scientific facilities. A compendium | Underground laboratories provide the low radioactive background environment
necessary to explore the highest energy scales that cannot be reached with
accelerators, by searching for extremely rare phenomena. I have requested to
the Directors of the Laboratories a standard set of questions on the principal
characteristics of their laboratory and collected them in this compendium. I
included the ideas and plans for short-range developments. However,
next-generation structures, such as those for megaton-size detectors, are not
discussed. A short version of this work will be published in the Proccedings of
TAUP 2007.
| hep-ex | underground laboratories provide the low radioactive background environment necessary to explore the highest energy scales that cannot be reached with accelerators by searching for extremely rare phenomena i have requested to the directors of the laboratories a standard set of questions on the principal characteristics of their laboratory and collected them in this compendium i included the ideas and plans for shortrange developments however nextgeneration structures such as those for megatonsize detectors are not discussed a short version of this work will be published in the proccedings of taup 2007 | [['underground', 'laboratories', 'provide', 'the', 'low', 'radioactive', 'background', 'environment', 'necessary', 'to', 'explore', 'the', 'highest', 'energy', 'scales', 'that', 'can', 'not', 'be', 'reached', 'with', 'accelerators', 'by', 'searching', 'for', 'extremely', 'rare', 'phenomena', 'i', 'have', 'requested', 'to', 'the', 'directors', 'of', 'the', 'laboratories', 'a', 'standard', 'set', 'of', 'questions', 'on', 'the', 'principal', 'characteristics', 'of', 'their', 'laboratory', 'and', 'collected', 'them', 'in', 'this', 'compendium', 'i', 'included', 'the', 'ideas', 'and', 'plans', 'for', 'shortrange', 'developments', 'however', 'nextgeneration', 'structures', 'such', 'as', 'those', 'for', 'megatonsize', 'detectors', 'are', 'not', 'discussed', 'a', 'short', 'version', 'of', 'this', 'work', 'will', 'be', 'published', 'in', 'the', 'proccedings', 'of', 'taup', '2007']] | [-0.08353013861296552, 0.15661041147672058, -0.0664470382924244, 0.11027493464545964, -0.059167476582832716, -0.11684471167351924, 0.009362295963225907, 0.3679865746225199, -0.2488652739119245, -0.34394926311751683, 0.1350636191409751, -0.293312047336125, -0.05425984679271331, 0.26189765240997076, -0.025158082600682974, 0.015485168057964759, 0.08508018589986677, 0.0022695597154585375, -0.03529842200380321, -0.28541676611168665, 0.24395020837696751, 0.17726696312971665, 0.27016121117670217, 0.0483574106193179, 0.06678415586376625, -0.04834351418906132, -0.08638166723605455, 0.005827838136406427, -0.1018525494941611, 0.1090155959108405, 0.3450051537516077, 0.17302731857792045, 0.2514048369099083, -0.4744437367058872, -0.17664547336256403, 0.10395229018942108, 0.09521154236320532, 0.07166884270276916, -0.08601047866323733, -0.2994295078423921, 0.07453904076992127, -0.17462330101204387, -0.14731743172585463, -0.05340725269032579, 0.031080829722576597, 0.0852348248335648, -0.1891948167088159, 0.003766072903540027, 0.020191184831050674, 0.07698527480255854, -0.04221842624770289, -0.15447967647825986, 0.0861859143518037, 0.1348302545486374, 0.028200910144140213, 0.014720607533255655, 0.12073359960752926, -0.15893046070266975, -0.10973232478070795, 0.39437718965699164, -0.02207845354614926, -0.12723445914309012, 0.2482210367792443, -0.1764570025026045, -0.16209710538491942, 0.0783642371226981, 0.19295826430819676, 0.09881834830732995, -0.20532975163771194, 0.04072751146852394, 0.007087011109995708, 0.10550653094718798, 0.028575207206179922, 0.07364689723687937, 0.2571127383761746, 0.20090696894762555, 0.009347618761566583, 0.05092246863033539, -0.0881069016939139, -0.00019259343258617968, -0.33009319564097384, -0.14089939853155545, -0.1407729538884851, 0.049148498846396535, 0.03594159490587137, -0.1051029824766885, 0.36584536713453825, 0.1612304607170812, 0.1626803535612279, -0.029304329295422923, 0.25239798483135323, 0.020339347921956717, 0.06588781532161775, 0.03585673164932078, 0.282655513105035, 0.05774256527643609, 0.1563032077771894, -0.13674231763050126, 0.07673632917046715, -0.009662325402428762] |
712.1052 | Ground-based variability surveys towards Centaurus A: worthwhile or not? | Context: Difference imaging has proven to be a powerful technique for
detecting and monitoring the variability of unresolved stellar sources in M 31.
Using this technique in surveys of galaxies outside the Local Group could have
many interesting applications. Aims: The goal of this paper is to test
difference imaging photometry on Centaurus A, the nearest giant elliptical
galaxy, at a distance of 4 Mpc. Methods: We obtained deep photometric data with
the Wide Field Imager at the ESO/MPG 2.2m at La Silla spread over almost two
months. Applying the difference imaging photometry package DIFIMPHOT, we
produced high-quality difference images and detected variable sources. The
sensitivity of the current observational setup was determined through
artificial residual tests. Results: In the resulting high-quality difference
images, we detect 271 variable stars. We find a difference flux detection limit
corresponding to m_R~24.5. Based on a simple model of the halo of Centaurus A,
we estimate that a ground-based microlensing survey would detect in the order
of 4 microlensing events per year due to lenses in the halo. Conclusions:
Difference imaging photometry works very well at the distance of Centaurus A
and promises to be a useful tool for detecting and studying variable stars in
galaxies outside the local group. For microlensing surveys, a higher
sensitivity is needed than achieved here, which would be possible with a large
ground-based telescope or space observatory with wide-field imaging
capabilities.
| astro-ph | context difference imaging has proven to be a powerful technique for detecting and monitoring the variability of unresolved stellar sources in m 31 using this technique in surveys of galaxies outside the local group could have many interesting applications aims the goal of this paper is to test difference imaging photometry on centaurus a the nearest giant elliptical galaxy at a distance of 4 mpc methods we obtained deep photometric data with the wide field imager at the esompg 22m at la silla spread over almost two months applying the difference imaging photometry package difimphot we produced highquality difference images and detected variable sources the sensitivity of the current observational setup was determined through artificial residual tests results in the resulting highquality difference images we detect 271 variable stars we find a difference flux detection limit corresponding to m_r245 based on a simple model of the halo of centaurus a we estimate that a groundbased microlensing survey would detect in the order of 4 microlensing events per year due to lenses in the halo conclusions difference imaging photometry works very well at the distance of centaurus a and promises to be a useful tool for detecting and studying variable stars in galaxies outside the local group for microlensing surveys a higher sensitivity is needed than achieved here which would be possible with a large groundbased telescope or space observatory with widefield imaging capabilities | [['context', 'difference', 'imaging', 'has', 'proven', 'to', 'be', 'a', 'powerful', 'technique', 'for', 'detecting', 'and', 'monitoring', 'the', 'variability', 'of', 'unresolved', 'stellar', 'sources', 'in', 'm', '31', 'using', 'this', 'technique', 'in', 'surveys', 'of', 'galaxies', 'outside', 'the', 'local', 'group', 'could', 'have', 'many', 'interesting', 'applications', 'aims', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'test', 'difference', 'imaging', 'photometry', 'on', 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712.1053 | Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an
$\mathcal{N}$ =4 SYM Plasma | The near zone energy-momentum tensor of a supersonic heavy quark jet moving
through a strongly-coupled $\mathcal{N}=4$ SYM plasma is analyzed in terms of
first-order Navier-Stokes hydrodynamics. It is shown that the hydrodynamical
description of the near quark region worsens with increasing quark velocities.
For realistic quark velocities, $v=0.99$, the non-hydrodynamical region is
located at a narrow band surrounding the quark with a width of approximately
$3/\pi T$ in the direction parallel to the quark's motion and with a length of
roughly $10/\pi T$ in the perpendicular direction. Our results can be
interpreted as an indication of the presence of coherent Yang-Mills fields
where deviation from hydrodynamics is at its maximum. In the region where
hydrodynamics does provide a good description of the system's dynamics, the
flow velocity is so small that all the nonlinear terms can be dropped. Our
results, which are compatible with the thermalization timescales extracted from
elliptic flow measurements, suggest that if AdS/CFT provides a good description
of the RHIC system, the bulk of the quenched jet energy has more than enough
time to locally thermalize and become encoded in the collective flow. The
resulting flow pattern close to the quark, however, is shown to be considerably
different than the superposition of Mach cones and diffusion wakes observed at
large distances.
| hep-ph hep-th nucl-th | the near zone energymomentum tensor of a supersonic heavy quark jet moving through a stronglycoupled mathcaln4 sym plasma is analyzed in terms of firstorder navierstokes hydrodynamics it is shown that the hydrodynamical description of the near quark region worsens with increasing quark velocities for realistic quark velocities v099 the nonhydrodynamical region is located at a narrow band surrounding the quark with a width of approximately 3pi t in the direction parallel to the quarks motion and with a length of roughly 10pi t in the perpendicular direction our results can be interpreted as an indication of the presence of coherent yangmills fields where deviation from hydrodynamics is at its maximum in the region where hydrodynamics does provide a good description of the systems dynamics the flow velocity is so small that all the nonlinear terms can be dropped our results which are compatible with the thermalization timescales extracted from elliptic flow measurements suggest that if adscft provides a good description of the rhic system the bulk of the quenched jet energy has more than enough time to locally thermalize and become encoded in the collective flow the resulting flow pattern close to the quark however is shown to be considerably different than the superposition of mach cones and diffusion wakes observed at large distances | [['the', 'near', 'zone', 'energymomentum', 'tensor', 'of', 'a', 'supersonic', 'heavy', 'quark', 'jet', 'moving', 'through', 'a', 'stronglycoupled', 'mathcaln4', 'sym', 'plasma', 'is', 'analyzed', 'in', 'terms', 'of', 'firstorder', 'navierstokes', 'hydrodynamics', 'it', 'is', 'shown', 'that', 'the', 'hydrodynamical', 'description', 'of', 'the', 'near', 'quark', 'region', 'worsens', 'with', 'increasing', 'quark', 'velocities', 'for', 'realistic', 'quark', 'velocities', 'v099', 'the', 'nonhydrodynamical', 'region', 'is', 'located', 'at', 'a', 'narrow', 'band', 'surrounding', 'the', 'quark', 'with', 'a', 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712.1054 | A Spectro-photometric Search for Galaxy Clusters in SDSS | Recent large-scale galaxy spectroscopic surveys, such as the Sloan Digital
Sky Survey (SDSS), enable us to execute a systematic, relatively-unbiased
search for galaxy clusters. Such surveys make it possible to measure the 3-d
distribution of galaxies but are hampered by the incompleteness problem due to
fiber collisions. In this study we aim to develop a density measuring technique
that alleviates the problem and derives densities more accurately by adding
additional cluster member galaxies that follow optical color-magnitude
relations for the given redshift. The new density measured with both
spectroscopic and photometric data shows a good agreement with apparent
information on cluster images and is supported by follow-up observations. By
adopting this new method, a total of 924 $robust$ galaxy clusters are found
from the SDSS DR5 database in the redshift range $0.05<z<0.1$, of which 212 are
new. Local maximum-density galaxies successfully represent cluster centers. We
provide the cluster catalogue including a number of cluster parameters.
| astro-ph | recent largescale galaxy spectroscopic surveys such as the sloan digital sky survey sdss enable us to execute a systematic relativelyunbiased search for galaxy clusters such surveys make it possible to measure the 3d distribution of galaxies but are hampered by the incompleteness problem due to fiber collisions in this study we aim to develop a density measuring technique that alleviates the problem and derives densities more accurately by adding additional cluster member galaxies that follow optical colormagnitude relations for the given redshift the new density measured with both spectroscopic and photometric data shows a good agreement with apparent information on cluster images and is supported by followup observations by adopting this new method a total of 924 robust galaxy clusters are found from the sdss dr5 database in the redshift range 005z01 of which 212 are new local maximumdensity galaxies successfully represent cluster centers we provide the cluster catalogue including a number of cluster parameters | [['recent', 'largescale', 'galaxy', 'spectroscopic', 'surveys', 'such', 'as', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'enable', 'us', 'to', 'execute', 'a', 'systematic', 'relativelyunbiased', 'search', 'for', 'galaxy', 'clusters', 'such', 'surveys', 'make', 'it', 'possible', 'to', 'measure', 'the', '3d', 'distribution', 'of', 'galaxies', 'but', 'are', 'hampered', 'by', 'the', 'incompleteness', 'problem', 'due', 'to', 'fiber', 'collisions', 'in', 'this', 'study', 'we', 'aim', 'to', 'develop', 'a', 'density', 'measuring', 'technique', 'that', 'alleviates', 'the', 'problem', 'and', 'derives', 'densities', 'more', 'accurately', 'by', 'adding', 'additional', 'cluster', 'member', 'galaxies', 'that', 'follow', 'optical', 'colormagnitude', 'relations', 'for', 'the', 'given', 'redshift', 'the', 'new', 'density', 'measured', 'with', 'both', 'spectroscopic', 'and', 'photometric', 'data', 'shows', 'a', 'good', 'agreement', 'with', 'apparent', 'information', 'on', 'cluster', 'images', 'and', 'is', 'supported', 'by', 'followup', 'observations', 'by', 'adopting', 'this', 'new', 'method', 'a', 'total', 'of', '924', 'robust', 'galaxy', 'clusters', 'are', 'found', 'from', 'the', 'sdss', 'dr5', 'database', 'in', 'the', 'redshift', 'range', '005z01', 'of', 'which', '212', 'are', 'new', 'local', 'maximumdensity', 'galaxies', 'successfully', 'represent', 'cluster', 'centers', 'we', 'provide', 'the', 'cluster', 'catalogue', 'including', 'a', 'number', 'of', 'cluster', 'parameters']] | [-0.041424461252618484, 0.01928674042158361, -0.0956986454457601, 0.0795856383767103, -0.15850832174205548, -0.03721778465180912, 0.08426442920145663, 0.4278488511872756, -0.17897964936572236, -0.38937583580226093, 0.049608916478146886, -0.3203239625500509, -0.05003136327919586, 0.2281685340620408, -0.044446130522055094, 0.03280102478509599, 0.11004784787315633, -0.11101660128911903, 0.0008617201500629716, -0.30913413413150187, 0.3089090430165653, 0.06910890988762151, 0.24236539485803865, -0.09785151772061967, 0.08416828195422331, -0.018968014813076656, -0.17644682679591434, 0.03626539938260692, -0.1874542924181094, 0.08623574990510802, 0.2801332605697287, 0.17466514119455082, 0.2480075253451896, -0.30624961112807325, -0.19502502854391116, 0.08812550498269402, 0.19500861413377737, 0.12518018767367686, -0.10275117638976353, -0.3227665164060407, 0.10809885119632273, -0.18892661033972324, -0.1606692727110893, -0.02845930472596899, 0.013886816644672208, 0.08198989100917545, -0.20076126132807512, 0.16950669822089567, -0.03930812882555818, 0.1159736259973475, -0.09367355888908994, -0.08874240047116945, -0.0380049401247124, 0.12728802807547465, -0.05478756205487222, 0.10769627118474115, 0.13609405761084206, -0.14881089067029127, -0.011308568521091328, 0.41756138615552096, -0.004597145686071221, -0.0034962851696272754, 0.1752274677629111, -0.14995642706098689, -0.19542815091160984, 0.07398712474855824, 0.16719419139667185, 0.0723786283550518, -0.22345594331839835, 0.019605499930005495, -0.01808597091071356, 0.23556056136096065, 0.010936916343544234, 0.06293968368434481, 0.2841564776895979, 0.09402711218292523, 0.09403315025333364, 0.12081105610909086, -0.2349958033225342, -0.005425162462581118, -0.21443959438036403, -0.07405193172419419, -0.17940837619470903, 0.045986394378259875, -0.11219897319219913, -0.1261346903629601, 0.34353096862988813, 0.1610051884086101, 0.23948626643252352, 0.09069405755635908, 0.30143944477274454, 0.04492298192752815, 0.14214244312319493, 0.03944937463595786, 0.25456511696147455, 0.14412328125546117, 0.06444461766536674, -0.19378165163662187, 0.03421605031638007, -0.0005563064735358605] |
712.1055 | Interaction correction to the conductance of a ballistic conductor | In disordered metals, electron-electron interactions are the origin of a
small correction to the conductivity, the "Altshuler-Aronov correction". Here
we investigate the Altshuler-Aronov correction of a conductor in which the
electron motion is ballistic and chaotic. We consider the case of a double
quantum dot, which is the simplest example of a ballistic conductor in which
the Altshuler-Aronov correction is nonzero. The fact that the electron motion
is ballistic leads to an exponential suppression of the correction if the
Ehrenfest time is larger than the mean dwell time or the inverse temperature.
| cond-mat.mes-hall | in disordered metals electronelectron interactions are the origin of a small correction to the conductivity the altshuleraronov correction here we investigate the altshuleraronov correction of a conductor in which the electron motion is ballistic and chaotic we consider the case of a double quantum dot which is the simplest example of a ballistic conductor in which the altshuleraronov correction is nonzero the fact that the electron motion is ballistic leads to an exponential suppression of the correction if the ehrenfest time is larger than the mean dwell time or the inverse temperature | [['in', 'disordered', 'metals', 'electronelectron', 'interactions', 'are', 'the', 'origin', 'of', 'a', 'small', 'correction', 'to', 'the', 'conductivity', 'the', 'altshuleraronov', 'correction', 'here', 'we', 'investigate', 'the', 'altshuleraronov', 'correction', 'of', 'a', 'conductor', 'in', 'which', 'the', 'electron', 'motion', 'is', 'ballistic', 'and', 'chaotic', 'we', 'consider', 'the', 'case', 'of', 'a', 'double', 'quantum', 'dot', 'which', 'is', 'the', 'simplest', 'example', 'of', 'a', 'ballistic', 'conductor', 'in', 'which', 'the', 'altshuleraronov', 'correction', 'is', 'nonzero', 'the', 'fact', 'that', 'the', 'electron', 'motion', 'is', 'ballistic', 'leads', 'to', 'an', 'exponential', 'suppression', 'of', 'the', 'correction', 'if', 'the', 'ehrenfest', 'time', 'is', 'larger', 'than', 'the', 'mean', 'dwell', 'time', 'or', 'the', 'inverse', 'temperature']] | [-0.17829726687025116, 0.18426735543929998, -0.0899084652932209, 0.08054145090610963, 0.002655753071176941, -0.17660795099547374, 0.010400470430993111, 0.30066989818790363, -0.2941548037140266, -0.22025740170932334, 0.02385020815974871, -0.3393741164801885, -0.12092421694061435, 0.18950886699578562, -0.026997653671297365, 0.0067137503368861, -0.015736154290726004, 0.04148560875783796, -0.09525697930138963, -0.20382894614316605, 0.2698452383198816, 0.06471530630875824, 0.24575810544901405, 0.11052446890212393, 0.057312107518436795, 0.0076485993897380386, 0.06345501647371313, 0.028013889074234456, -0.11854596899953006, 0.01663975583632355, 0.16756947438546416, -0.13584899981303708, 0.2433875868015963, -0.42345232044792047, -0.19931172420594678, 0.0740033127721804, 0.12304674797316852, 0.20362408891568243, -0.042419675757865545, -0.2175954324016145, 0.04162032722303158, -0.1744232788788276, -0.13492313419144764, -0.0013745082643530939, 0.06322250413991835, -0.028647018885037498, -0.2685028216396661, 0.16276097409022244, 0.10961104388875158, 0.0006113569100346903, -0.02305011969545613, -0.0345892241710554, 0.05075911500835386, 0.09933937810432247, 0.02652634512354701, 0.015477424882271367, 0.17809971151164855, -0.1518576704826125, -0.09099753495715761, 0.4098677348305026, -0.09180591709778325, -0.15430413815699032, 0.11483029458854023, -0.22605281702809685, -0.0058609177940525115, 0.1761987113353351, 0.12337072120736474, 0.09722485560822584, -0.1581219641805586, 0.12042341992681664, -0.02232150624141745, 0.14954234286130447, 0.018462546703749864, 0.04896709940942895, 0.1656567976384869, 0.1630736689042786, 0.040818865350245134, 0.12536878939515547, -0.1778490334779591, -0.10793352320932013, -0.3141152179678497, -0.20838405977954846, -0.220248031085762, 0.13460262412326815, -0.08972569347157411, -0.2383817263635928, 0.40324999157177366, 0.16558263573350143, 0.18313392477474458, 0.010083445918533707, 0.32704504469976475, 0.21000223224172773, 0.06065131945576033, 0.045039258212969085, 0.24327258001405583, 0.13633960664636738, 0.06245272990781814, -0.3305248188477455, 0.06500516691670308, 0.05526276154484114] |
712.1056 | Can the tidal quality factors of terrestrial planets and moons scale as
positive powers of the tidal frequency? | In geophysics and seismology, it is a common knowledge that the quality
factors Q of the mantle and crust materials scale as the tidal frequency to a
positive fractional power (Karato 2007, Efroimsky and Lainey 2007). In
astronomy, there exists an equally common belief that such rheological models
introduce discontinuities into the equations and thus are unrealistic at low
frequencies. We demonstrate that, while such models indeed make the
conventional expressions for the tidal torque diverge for vanishing
frequencies, the emerging infinities reveal not the impossible nature of one or
another rheology, but a subtle flaw in the underlying mathematical model of
friction. Flawed is the common misassumption that the tidal force and torque
are inversely proportional to the quality factor. In reality, they are
proportional to the sine of the tidal phase lag, while the inverse quality
factor is commonly identified with the tangent of the lag. The sine and tangent
of the lag are close everywhere {\it{except in the vicinity of the zero
frequency}}. Reinstating of this detail tames the fake infinities and
rehabilitates the "impossible" scaling law (which happens to be the actual law
the mantles obey). This preprint is a pilot paper. A more comprehensive
treatise on tidal torques is to be published (Efroimsky and Williams 2009).
| astro-ph physics.class-ph physics.geo-ph | in geophysics and seismology it is a common knowledge that the quality factors q of the mantle and crust materials scale as the tidal frequency to a positive fractional power karato 2007 efroimsky and lainey 2007 in astronomy there exists an equally common belief that such rheological models introduce discontinuities into the equations and thus are unrealistic at low frequencies we demonstrate that while such models indeed make the conventional expressions for the tidal torque diverge for vanishing frequencies the emerging infinities reveal not the impossible nature of one or another rheology but a subtle flaw in the underlying mathematical model of friction flawed is the common misassumption that the tidal force and torque are inversely proportional to the quality factor in reality they are proportional to the sine of the tidal phase lag while the inverse quality factor is commonly identified with the tangent of the lag the sine and tangent of the lag are close everywhere itexcept in the vicinity of the zero frequency reinstating of this detail tames the fake infinities and rehabilitates the impossible scaling law which happens to be the actual law the mantles obey this preprint is a pilot paper a more comprehensive treatise on tidal torques is to be published efroimsky and williams 2009 | [['in', 'geophysics', 'and', 'seismology', 'it', 'is', 'a', 'common', 'knowledge', 'that', 'the', 'quality', 'factors', 'q', 'of', 'the', 'mantle', 'and', 'crust', 'materials', 'scale', 'as', 'the', 'tidal', 'frequency', 'to', 'a', 'positive', 'fractional', 'power', 'karato', '2007', 'efroimsky', 'and', 'lainey', '2007', 'in', 'astronomy', 'there', 'exists', 'an', 'equally', 'common', 'belief', 'that', 'such', 'rheological', 'models', 'introduce', 'discontinuities', 'into', 'the', 'equations', 'and', 'thus', 'are', 'unrealistic', 'at', 'low', 'frequencies', 'we', 'demonstrate', 'that', 'while', 'such', 'models', 'indeed', 'make', 'the', 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712.1057 | Evolution of Mid-IR Excess Around Sun-like Stars: Constraints on Models
of Terrestrial Planet Formation | We report observations from the Spitzer Space Telescope (SST) regarding the
frequency of 24 micron excess emission toward sun-like stars. Our unbiased
sample is comprised of 309 stars with masses 0.7-2.2 Msun and ages from <3 Myr
to >3 Gyr that lack excess emission at wavelengths <=8 microns. We identify 30
stars that exhibit clear evidence of excess emission from the observed 24/8
micron flux ratio. The implied 24 micron excesses of these candidate debris
disk systems range from 13 % (the minimum detectable) to more than 100 %
compared to the expected photospheric emission. The frequency of systems with
evidence for dust debris emitting at 24 micron ranges from 8.5-19 % at ages
<300 Myr to < 4 % for older stars. The results suggest that many, perhaps most,
sun-like stars might form terrestrial planets.
| astro-ph | we report observations from the spitzer space telescope sst regarding the frequency of 24 micron excess emission toward sunlike stars our unbiased sample is comprised of 309 stars with masses 0722 msun and ages from 3 myr to 3 gyr that lack excess emission at wavelengths 8 microns we identify 30 stars that exhibit clear evidence of excess emission from the observed 248 micron flux ratio the implied 24 micron excesses of these candidate debris disk systems range from 13 the minimum detectable to more than 100 compared to the expected photospheric emission the frequency of systems with evidence for dust debris emitting at 24 micron ranges from 8519 at ages 300 myr to 4 for older stars the results suggest that many perhaps most sunlike stars might form terrestrial planets | [['we', 'report', 'observations', 'from', 'the', 'spitzer', 'space', 'telescope', 'sst', 'regarding', 'the', 'frequency', 'of', '24', 'micron', 'excess', 'emission', 'toward', 'sunlike', 'stars', 'our', 'unbiased', 'sample', 'is', 'comprised', 'of', '309', 'stars', 'with', 'masses', '0722', 'msun', 'and', 'ages', 'from', '3', 'myr', 'to', '3', 'gyr', 'that', 'lack', 'excess', 'emission', 'at', 'wavelengths', '8', 'microns', 'we', 'identify', '30', 'stars', 'that', 'exhibit', 'clear', 'evidence', 'of', 'excess', 'emission', 'from', 'the', 'observed', '248', 'micron', 'flux', 'ratio', 'the', 'implied', '24', 'micron', 'excesses', 'of', 'these', 'candidate', 'debris', 'disk', 'systems', 'range', 'from', '13', 'the', 'minimum', 'detectable', 'to', 'more', 'than', '100', 'compared', 'to', 'the', 'expected', 'photospheric', 'emission', 'the', 'frequency', 'of', 'systems', 'with', 'evidence', 'for', 'dust', 'debris', 'emitting', 'at', '24', 'micron', 'ranges', 'from', '8519', 'at', 'ages', '300', 'myr', 'to', '4', 'for', 'older', 'stars', 'the', 'results', 'suggest', 'that', 'many', 'perhaps', 'most', 'sunlike', 'stars', 'might', 'form', 'terrestrial', 'planets']] | [-0.0112532053133831, 0.18472018644858437, -0.006390852984399177, 0.10950887815829796, -0.07877272692544815, -0.04188429500119617, 0.10287991053908346, 0.4589609921318837, -0.11049300363318672, -0.4449879116163804, 0.039393458852114586, -0.35103046810970856, 0.03517246974560504, 0.21230257829973617, -0.04357479160266498, -0.06601368714249335, 0.1057401649806147, -0.15202672942899742, 0.022943919752455817, -0.24903173240689705, 0.22546201872710997, 0.07143355464347853, 0.0710341967525892, -0.04209007209395237, 0.019430200214712666, -0.20043429349047634, -0.07074194692003612, -0.12682525045977225, -0.1774068580912941, 0.030159453116357326, 0.25860443090876706, 0.11256342777767434, 0.16355864596553146, -0.30079040060221673, -0.19821845303074673, 0.08032414680705048, 0.1943243509874894, -0.03658699658699334, -0.03599131287471839, -0.24908642195021877, 0.11922873683551398, -0.14735170571993178, -0.18618334904313089, 0.15184170575319933, 0.12039832291551507, -0.05668465582152399, -0.2336148898009784, 0.14733707590762957, 0.01511090647859069, 0.21622587442398072, -0.1914122092949513, -0.22673470305207258, -0.08077107516672606, 0.010025626902755063, -0.0002907772512676624, 0.06921078031345342, 0.21256544275495867, -0.07297539584911787, -0.055199474920160495, 0.3707851316350011, -0.14438217999290479, 0.13171120978748568, 0.2924338290109657, -0.28262865032570866, -0.14590551713123345, 0.2824684893998962, 0.11233221547534833, 0.11748516934995468, -0.18982481308675442, -0.06993185491704096, 0.018815908485199682, 0.3045471984033401, 0.10821674309241083, 0.13882891744231948, 0.3987065621006947, 0.11324550157699448, 0.024607836863008114, 0.08001228863409218, -0.35643112262925847, -0.05031979657136477, -0.23410337820308857, -0.08826124633375843, -0.10054791232911296, 0.13054222457800418, -0.17106440971021164, -0.034983143969797174, 0.2820256985885163, 0.1796724543763468, 0.18106654438978204, 0.12168586810495562, 0.24514507982306755, 0.017651518162948868, 0.19466116830993158, 0.1650692349478889, 0.35000136588843395, 0.15565198465751914, 0.11401147790109882, -0.1761453438595009, 0.029983877003766025, -0.09983024809939357] |
712.1058 | Half-Twisted (0,2) Landau-Ginzburg Models | We compute correlators of chiral operators in (0,2) supersymmetric
Landau-Ginzburg theories. The class of theories and the correlators we study
are relevant for extending and testing mirror symmetry away from the (2,2)
locus. More generally, these methods provide alpha'-exact results about certain
superpotential couplings in compactifications of the heterotic string.
| hep-th | we compute correlators of chiral operators in 02 supersymmetric landauginzburg theories the class of theories and the correlators we study are relevant for extending and testing mirror symmetry away from the 22 locus more generally these methods provide alphaexact results about certain superpotential couplings in compactifications of the heterotic string | [['we', 'compute', 'correlators', 'of', 'chiral', 'operators', 'in', '02', 'supersymmetric', 'landauginzburg', 'theories', 'the', 'class', 'of', 'theories', 'and', 'the', 'correlators', 'we', 'study', 'are', 'relevant', 'for', 'extending', 'and', 'testing', 'mirror', 'symmetry', 'away', 'from', 'the', '22', 'locus', 'more', 'generally', 'these', 'methods', 'provide', 'alphaexact', 'results', 'about', 'certain', 'superpotential', 'couplings', 'in', 'compactifications', 'of', 'the', 'heterotic', 'string']] | [-0.11651364425895736, 0.1548067939747125, -0.044640633380040526, 0.17638289775699378, -0.05789149642456323, -0.18289612939581276, -0.014304929990321397, 0.30351277463138104, -0.12970243262127043, -0.25171679321676493, 0.10486148833762854, -0.29452385246753693, -0.15680621679872275, 0.14501602094620467, -0.07238401591777802, 0.03238407153636217, -0.056075320434756576, -0.006818822775385342, -0.18303329795598983, -0.27054856836795804, 0.36760430224239826, -0.05748763419687748, 0.24579657979309558, 0.07334798664785921, 0.005914028566330672, -0.04364625629037619, -0.015348769463598729, -0.04615090366452932, -0.16551549263298512, 0.19527592591941356, 0.26607966425828633, 0.06553877064026892, 0.04606915988028049, -0.4403061730414629, -0.18655445706099272, 0.13236591253429653, 0.1541741168592125, 0.1800551557727158, 0.03271145740844077, -0.29048678565770386, 0.09250737639609724, -0.155791160822846, -0.177217550734058, -0.13377338614314793, -0.048669635960832236, -0.0691474846797064, -0.2258730072900653, 0.04255362434312701, -0.011765588582493365, 0.12102144092321396, -0.04864322050474584, -0.11862405257765203, -0.0864486260805279, 0.05684356587007642, 0.14794728349894284, 0.027912914021871984, 0.1531099603534676, -0.26271329158917067, -0.1669687543436885, 0.35855459749698637, -0.035850127879530194, -0.18327197648584842, 0.11836285084486008, -0.14798548443242907, -0.2420522235892713, 0.08974025167524814, 0.09825859600678086, 0.22429467093199493, -0.10010056145489216, 0.22809697117423638, -0.01217341016046703, 0.08474669661140069, 0.09683630202896892, 0.05486126336269081, 0.285593434907496, 0.07921153618954122, 0.047878773882985115, 0.10618062351364642, -0.015289478255435824, -0.15320933297276496, -0.4870310211926699, -0.09031618475914001, -0.044489112496376035, 0.12950516885146499, -0.15803952607268001, -0.132185570429574, 0.4074904324859381, 0.14722118217498065, 0.18154951252043247, 0.13970659255981446, 0.12128920920193195, 0.06796721263788641, 0.11106841659173369, 0.006799394919071346, 0.22659529203549028, 0.18897974679246546, 0.059925109120085834, -0.18987075376790016, -0.18073926421813666, 0.203824703656137] |
712.1059 | Jets in coronal holes: Hinode observations and 3D computer modelling | Recent observations of coronal hole areas with the XRT and EIS instruments
onboard the Hinode satellite have shown with unprecedented detail the launching
of fast, hot jets away from the solar surface. In some cases these events
coincide with episodes of flux emergence from beneath the photosphere. In this
letter we show results of a 3D numerical experiment of flux emergence from the
solar interior into a coronal hole and compare them with simultaneous XRT and
EIS observations of a jet-launching event that accompanied the appearance of a
bipolar region in MDI magnetograms. The magnetic skeleton and topology that
result in the experiment bear a strong resemblance to linear force-fee
extrapolations of the SOHO/MDI magnetograms. A thin current sheet is formed at
the boundary of the emerging plasma. A jet is launched upward along the open
reconnected field lines with values of temperature, density and velocity in
agreement with the XRT and EIS observations. Below the jet, a split-vault
structure results with two chambers: a shrinking one containing the emerged
field loops and a growing one with loops produced by the reconnection. The
ongoing reconnection leads to a horizontal drift of the vault-and-jet
structure. The timescales, velocities, and other plasma properties in the
experiment are consistent with recent statistical studies of this type of
events made with Hinode data.
| astro-ph | recent observations of coronal hole areas with the xrt and eis instruments onboard the hinode satellite have shown with unprecedented detail the launching of fast hot jets away from the solar surface in some cases these events coincide with episodes of flux emergence from beneath the photosphere in this letter we show results of a 3d numerical experiment of flux emergence from the solar interior into a coronal hole and compare them with simultaneous xrt and eis observations of a jetlaunching event that accompanied the appearance of a bipolar region in mdi magnetograms the magnetic skeleton and topology that result in the experiment bear a strong resemblance to linear forcefee extrapolations of the sohomdi magnetograms a thin current sheet is formed at the boundary of the emerging plasma a jet is launched upward along the open reconnected field lines with values of temperature density and velocity in agreement with the xrt and eis observations below the jet a splitvault structure results with two chambers a shrinking one containing the emerged field loops and a growing one with loops produced by the reconnection the ongoing reconnection leads to a horizontal drift of the vaultandjet structure the timescales velocities and other plasma properties in the experiment are consistent with recent statistical studies of this type of events made with hinode data | [['recent', 'observations', 'of', 'coronal', 'hole', 'areas', 'with', 'the', 'xrt', 'and', 'eis', 'instruments', 'onboard', 'the', 'hinode', 'satellite', 'have', 'shown', 'with', 'unprecedented', 'detail', 'the', 'launching', 'of', 'fast', 'hot', 'jets', 'away', 'from', 'the', 'solar', 'surface', 'in', 'some', 'cases', 'these', 'events', 'coincide', 'with', 'episodes', 'of', 'flux', 'emergence', 'from', 'beneath', 'the', 'photosphere', 'in', 'this', 'letter', 'we', 'show', 'results', 'of', 'a', '3d', 'numerical', 'experiment', 'of', 'flux', 'emergence', 'from', 'the', 'solar', 'interior', 'into', 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'growing', 'one', 'with', 'loops', 'produced', 'by', 'the', 'reconnection', 'the', 'ongoing', 'reconnection', 'leads', 'to', 'a', 'horizontal', 'drift', 'of', 'the', 'vaultandjet', 'structure', 'the', 'timescales', 'velocities', 'and', 'other', 'plasma', 'properties', 'in', 'the', 'experiment', 'are', 'consistent', 'with', 'recent', 'statistical', 'studies', 'of', 'this', 'type', 'of', 'events', 'made', 'with', 'hinode', 'data']] | [-0.12355862302418094, 0.19299053771567234, -0.03238563751522085, 0.06983548039270024, -0.0798179445657364, -0.05855187858253168, 0.011505588630004036, 0.4215014327052189, -0.18024990587679815, -0.33159632636191244, 0.09671457230825888, -0.31720201374988677, -0.08484205845657582, 0.24955914604310203, -0.03013052555857428, 0.016176821794942953, 0.13993219367211282, -0.033842217054282836, -0.06903610064557963, -0.15182692503228284, 0.28270785149384275, 0.11714480519788296, 0.23834647493509895, -0.005067260577536536, 0.09221506367162866, -0.12508504787966404, 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712.106 | The Effect of Poloidal Magnetic Field on Type I Planetary Migration:
Significance of Magnetic Resonance | We study the effect of poloidal magnetic field on type I planetary migration
by linear perturbation analysis in the shearing-sheet approximation and the
analytic results are compared with numerical calculations. In contrast to the
unmagnetized case, the basic equations that describe the wake due to the planet
in the disk allow magnetic resonances at which density perturbation diverges.
In order to simplify the problem, we consider the case without
magneto-rotational instability. We perform two sets of analyses:
two-dimensional and three-dimensional. In two-dimensional analysis, we find the
generalization of the torque formula previously known in unmagnetized case. In
three-dimensional calculations, we focus on the disk with very strong magnetic
field and derive a new analytic formula for the torque exerted on the planet.
We find that when Alfven velocity is much larger than sound speed,
two-dimensional torque is suppressed and three-dimensional modes dominate, in
contrast to the unmagnetized case.
| astro-ph | we study the effect of poloidal magnetic field on type i planetary migration by linear perturbation analysis in the shearingsheet approximation and the analytic results are compared with numerical calculations in contrast to the unmagnetized case the basic equations that describe the wake due to the planet in the disk allow magnetic resonances at which density perturbation diverges in order to simplify the problem we consider the case without magnetorotational instability we perform two sets of analyses twodimensional and threedimensional in twodimensional analysis we find the generalization of the torque formula previously known in unmagnetized case in threedimensional calculations we focus on the disk with very strong magnetic field and derive a new analytic formula for the torque exerted on the planet we find that when alfven velocity is much larger than sound speed twodimensional torque is suppressed and threedimensional modes dominate in contrast to the unmagnetized case | [['we', 'study', 'the', 'effect', 'of', 'poloidal', 'magnetic', 'field', 'on', 'type', 'i', 'planetary', 'migration', 'by', 'linear', 'perturbation', 'analysis', 'in', 'the', 'shearingsheet', 'approximation', 'and', 'the', 'analytic', 'results', 'are', 'compared', 'with', 'numerical', 'calculations', 'in', 'contrast', 'to', 'the', 'unmagnetized', 'case', 'the', 'basic', 'equations', 'that', 'describe', 'the', 'wake', 'due', 'to', 'the', 'planet', 'in', 'the', 'disk', 'allow', 'magnetic', 'resonances', 'at', 'which', 'density', 'perturbation', 'diverges', 'in', 'order', 'to', 'simplify', 'the', 'problem', 'we', 'consider', 'the', 'case', 'without', 'magnetorotational', 'instability', 'we', 'perform', 'two', 'sets', 'of', 'analyses', 'twodimensional', 'and', 'threedimensional', 'in', 'twodimensional', 'analysis', 'we', 'find', 'the', 'generalization', 'of', 'the', 'torque', 'formula', 'previously', 'known', 'in', 'unmagnetized', 'case', 'in', 'threedimensional', 'calculations', 'we', 'focus', 'on', 'the', 'disk', 'with', 'very', 'strong', 'magnetic', 'field', 'and', 'derive', 'a', 'new', 'analytic', 'formula', 'for', 'the', 'torque', 'exerted', 'on', 'the', 'planet', 'we', 'find', 'that', 'when', 'alfven', 'velocity', 'is', 'much', 'larger', 'than', 'sound', 'speed', 'twodimensional', 'torque', 'is', 'suppressed', 'and', 'threedimensional', 'modes', 'dominate', 'in', 'contrast', 'to', 'the', 'unmagnetized', 'case']] | [-0.1585685202688281, 0.11650764914795857, -0.030217281652841013, 0.0607676464337478, -0.08750265679397695, -0.06072976086855035, -0.02629014272620348, 0.3290384576932804, -0.20786304832782243, -0.2773926402536548, 0.059839762407480866, -0.2569136308707498, -0.13498924523938094, 0.23631746547038643, 0.017431577739960236, 0.03456904788853953, 0.04689108527806663, -0.004585647711693938, -0.05250135915215454, -0.1847624161730621, 0.32958791911683827, 0.040369976815929624, 0.2154371855226723, 0.013122892542112921, -0.011762702242924354, -0.015914084978175123, -0.004248071625526692, 0.03390068205929286, -0.22529936115451338, 0.021890016688770185, 0.17651710473158322, -0.013490936423123285, 0.23285309179069325, -0.5128515758929221, -0.2076629279987616, 0.021412615193135885, 0.17741541254548104, 0.15734474905243465, -0.046278946085147106, -0.209872084496719, 0.07673835798600889, -0.17382829999110685, -0.17042146248167153, -0.06728235751742849, 0.02632396574434195, 0.0063589013958777725, -0.30241901776753366, 0.1138230801553692, 0.09914809337036835, 0.08508168286101175, -0.13629480080074957, -0.06597600912524236, -0.0345777475709297, 0.032862044256723275, 0.09406004558912025, 0.06848326112565307, 0.14356052792454893, -0.13277599588351174, -0.060455103889359416, 0.3801466939920509, -0.11368853775157067, -0.2102644564395116, 0.20516093534014718, -0.2517841942482502, -0.08439354302292387, 0.1209448491997161, 0.20862420784888436, 0.147636845704747, -0.05554529306420984, 0.07421244483447408, -0.049087963083513535, 0.12436051410780213, 0.06388596115740822, -0.015948345428458542, 0.21653414032472348, 0.1511612423661014, 0.04004592651098564, 0.1600872008082759, -0.13642094124618262, -0.10992918686305701, -0.24435416139611923, -0.1296228131851987, -0.15438024751130944, 0.02429608904876167, -0.06857778777398257, -0.17240708382686953, 0.36153165268321596, 0.1927318390509164, 0.14429955852117288, 0.026786486417640355, 0.35827979097470036, 0.1589472349119574, 0.05375586698033117, 0.13344745730628838, 0.3279533972460273, 0.19014437630225123, 0.10015745714898347, -0.2830221584795131, 0.01368817054930873, 0.07736579828102745] |
712.1061 | Non-perturbative renormalization of quark bilinear operators and B_K
using domain wall fermions | We present a calculation of the renormalization coefficients of the quark
bilinear operators and the K-Kbar mixing parameter B_K. The coefficients
relating the bare lattice operators to those in the RI/MOM scheme are computed
non-perturbatively and then matched perturbatively to the MSbar scheme. The
coefficients are calculated on the RBC/UKQCD 2+1 flavor dynamical lattice
configurations. Specifically we use a 16^3 x 32 lattice volume, the Iwasaki
gauge action at beta=2.13 and domain wall fermions with L_s=16.
| hep-lat | we present a calculation of the renormalization coefficients of the quark bilinear operators and the kkbar mixing parameter b_k the coefficients relating the bare lattice operators to those in the rimom scheme are computed nonperturbatively and then matched perturbatively to the msbar scheme the coefficients are calculated on the rbcukqcd 21 flavor dynamical lattice configurations specifically we use a 163 x 32 lattice volume the iwasaki gauge action at beta213 and domain wall fermions with l_s16 | [['we', 'present', 'a', 'calculation', 'of', 'the', 'renormalization', 'coefficients', 'of', 'the', 'quark', 'bilinear', 'operators', 'and', 'the', 'kkbar', 'mixing', 'parameter', 'b_k', 'the', 'coefficients', 'relating', 'the', 'bare', 'lattice', 'operators', 'to', 'those', 'in', 'the', 'rimom', 'scheme', 'are', 'computed', 'nonperturbatively', 'and', 'then', 'matched', 'perturbatively', 'to', 'the', 'msbar', 'scheme', 'the', 'coefficients', 'are', 'calculated', 'on', 'the', 'rbcukqcd', '21', 'flavor', 'dynamical', 'lattice', 'configurations', 'specifically', 'we', 'use', 'a', '163', 'x', '32', 'lattice', 'volume', 'the', 'iwasaki', 'gauge', 'action', 'at', 'beta213', 'and', 'domain', 'wall', 'fermions', 'with', 'l_s16']] | [-0.13492914302103026, 0.27940372003879593, -0.06480002143775652, 0.038840172426333947, -0.03667350079692704, -0.09385063777153846, 0.12639832692021677, 0.4007311704764633, -0.1812507822423389, -0.18097540874058674, 0.09272654845201607, -0.30509465393659313, -0.04445382271966848, 0.0729349426508538, 0.06611474180643104, 0.12446832041697282, 0.04646717481266119, 0.0005543571544541536, -0.1714358628286343, -0.2747799386760514, 0.328415454463347, -0.04447145229450574, 0.2499817549863732, 0.13818539181528122, 0.08106488634611626, -0.02096425161672462, -0.09480111738421808, -0.07877124288413477, -0.1335530932502527, 0.08236511352496516, 0.12254012351331767, -0.11111080752514106, 0.08946808092495255, -0.34105673295102623, -0.14395923922864695, 0.047010094037671625, 0.12578826855353423, 0.1189264774837188, 0.024170568081133655, -0.2904007745612609, 0.09265883241191898, -0.2105118545556539, -0.14399147098179368, -0.14461575658673323, -0.06562834776521317, -0.08372419296861872, -0.4048302678366829, 0.06621494219564882, -0.13251047963958149, 0.07569445520761962, -0.02172560149215554, -0.23697854453501732, -0.05565485143176231, 0.09339203721059389, 0.06151401322629107, 0.10909039211018305, 0.1476271746704649, -0.12095443955867698, -0.12706989333750435, 0.46392837867728975, -0.12787700012344622, -0.2820052795455252, 0.11402662816506468, -0.15828778771193405, -0.11866053411933153, 0.07264560910775081, 0.14235740752069673, 0.12541449607325425, -0.17035594256594777, 0.1832185103473756, -0.09132033910014127, 0.18054567572299243, 0.10333583063421477, 0.025863200922398584, 0.12230498570562831, 0.06531888933999366, -0.016644550303585436, 0.06012936939384274, -0.0010707586066258188, -0.13760302190693388, -0.3522667789733724, -0.025297493949581525, -0.1454759449391675, 0.07084942201005393, -0.1804754687528705, -0.11377983869323016, 0.39277546747162934, 0.1231831508553832, 0.19921396491669216, 0.03322606260496143, 0.22859368492898188, 0.1256599230814333, 0.12470087741109494, 0.04592719357338195, 0.1668794825611832, 0.1647488768702667, 0.0842996075884194, -0.36516651199321803, -0.18595478748657593, 0.28450731461328505] |
712.1062 | Solutions with Vortices of a Semi-Stiff Boundary Value Problem for the
Ginzburg-Landau Equation | We study solutions of the 2D Ginzburg-Landau equation -\Delta
u+\frac{1}{\ve^2}u(|u|^2-1)=0 subject to "semi-stiff" boundary conditions: the
Dirichlet condition for the modulus, |u|=1, and the homogeneous Neumann
condition for the phase. The principal result of this work shows there are
stable solutions of this problem with zeros (vortices), which are located near
the boundary and have bounded energy in the limit of small epsilon. For the
Dirichlet bondary condition ("stiff" problem), the existence of stable
solutions with vortices, whose energy blows up as epsilon goes to 0, is well
known. By contrast, stable solutions with vortices are not established in the
case of the homogeneous Neumann ("soft") boundary condition. (nonexistence is
proved for simply connected domains).
In this work, we develop a variational method which allows one to construct
local minimizers of the corresponding Ginzburg-Landau energy functional. We
introduce an approximate bulk degree as the key ingredient of this method, and,
unlike the standard degree over the curve, it is preserved in the weak
H^1-limit.
| math.AP | we study solutions of the 2d ginzburglandau equation delta ufrac1ve2uu210 subject to semistiff boundary conditions the dirichlet condition for the modulus u1 and the homogeneous neumann condition for the phase the principal result of this work shows there are stable solutions of this problem with zeros vortices which are located near the boundary and have bounded energy in the limit of small epsilon for the dirichlet bondary condition stiff problem the existence of stable solutions with vortices whose energy blows up as epsilon goes to 0 is well known by contrast stable solutions with vortices are not established in the case of the homogeneous neumann soft boundary condition nonexistence is proved for simply connected domains in this work we develop a variational method which allows one to construct local minimizers of the corresponding ginzburglandau energy functional we introduce an approximate bulk degree as the key ingredient of this method and unlike the standard degree over the curve it is preserved in the weak h1limit | [['we', 'study', 'solutions', 'of', 'the', '2d', 'ginzburglandau', 'equation', 'delta', 'ufrac1ve2uu210', 'subject', 'to', 'semistiff', 'boundary', 'conditions', 'the', 'dirichlet', 'condition', 'for', 'the', 'modulus', 'u1', 'and', 'the', 'homogeneous', 'neumann', 'condition', 'for', 'the', 'phase', 'the', 'principal', 'result', 'of', 'this', 'work', 'shows', 'there', 'are', 'stable', 'solutions', 'of', 'this', 'problem', 'with', 'zeros', 'vortices', 'which', 'are', 'located', 'near', 'the', 'boundary', 'and', 'have', 'bounded', 'energy', 'in', 'the', 'limit', 'of', 'small', 'epsilon', 'for', 'the', 'dirichlet', 'bondary', 'condition', 'stiff', 'problem', 'the', 'existence', 'of', 'stable', 'solutions', 'with', 'vortices', 'whose', 'energy', 'blows', 'up', 'as', 'epsilon', 'goes', 'to', '0', 'is', 'well', 'known', 'by', 'contrast', 'stable', 'solutions', 'with', 'vortices', 'are', 'not', 'established', 'in', 'the', 'case', 'of', 'the', 'homogeneous', 'neumann', 'soft', 'boundary', 'condition', 'nonexistence', 'is', 'proved', 'for', 'simply', 'connected', 'domains', 'in', 'this', 'work', 'we', 'develop', 'a', 'variational', 'method', 'which', 'allows', 'one', 'to', 'construct', 'local', 'minimizers', 'of', 'the', 'corresponding', 'ginzburglandau', 'energy', 'functional', 'we', 'introduce', 'an', 'approximate', 'bulk', 'degree', 'as', 'the', 'key', 'ingredient', 'of', 'this', 'method', 'and', 'unlike', 'the', 'standard', 'degree', 'over', 'the', 'curve', 'it', 'is', 'preserved', 'in', 'the', 'weak', 'h1limit']] | [-0.1733825475172956, 0.0920279533028305, -0.06732573998620572, 0.032183423370301126, -0.06380671007058548, -0.13705541624365675, 0.004527892331724964, 0.2959996319094236, -0.29245826000646674, -0.25205699415348565, 0.13673635958521455, -0.25101056568661234, -0.10935566143598408, 0.15362883439103578, -0.04875292294704712, 0.09511849341948551, 0.04675444608222245, 0.08563604991722071, -0.05607685782475236, -0.2197206892852131, 0.38068770334400515, -0.049374380720963264, 0.26759900163031286, 0.06686956907427054, 0.07247584928287032, -0.04649644546687925, 0.058586996934020225, 0.02018253868273287, -0.22565008254066385, 0.09369725420823849, 0.2283203187973503, 0.012510085239845477, 0.2721229108211435, -0.4224195297301551, -0.21149680301414825, 0.16245532232799487, 0.12412653729336819, 0.07019061400026175, 0.009067495955717693, -0.2574305450529389, 0.1373214123455842, -0.08661146001350624, -0.24005001741260243, -0.060228496988269466, -0.012279821602903583, 0.04370390216210558, -0.2926689846237064, 0.15031380153744034, 0.08750147366232273, 0.028680886998542664, -0.1488506078959391, -0.06945290220728903, -0.028241270841932915, 0.0679514932828484, 0.08761455128573019, 0.041368269801346794, 0.029441076736138376, -0.13748306081699277, -0.035959897927916894, 0.34598798731652397, -0.059259407159033016, -0.2432242527641471, 0.17600816154829513, -0.10622618718677844, -0.09705416683142108, 0.12235985464634902, 0.08270995832266814, 0.19297006771968747, -0.1078416137887096, 0.15410703023281927, -0.06052084144472179, 0.13173618416997523, 0.10920672875507102, -0.01212842192178891, 0.1400167983899146, 0.1556637669643272, 0.15936672774770147, 0.16397504898271076, -0.05834919830962418, -0.11075999938170022, -0.3598773868087633, -0.1582609693646247, -0.18735712205123065, 0.06941839904435637, -0.0871790144877274, -0.23252663337108162, 0.35231555306732104, 0.09316754282342937, 0.17875422745293443, 0.0573503717702503, 0.22462484981996916, 0.16891775685391264, 0.03333239292691427, 0.11006057970398278, 0.22021899671282297, 0.15705573940390927, 0.11777984500031942, -0.1960070971902575, 0.012968135912856662, 0.11841811896271265] |
712.1063 | Nucleosome Switching | We present a statistical-mechanical analysis of the positioning of
nucleosomes along one of the chromosomes of yeast DNA as a function of the
strength of the binding potential and of the chemical potential of the
nucleosomes. We find a significant density of two-level nucleosome switching
regions where, as a function of the chemical potential, the nucleosome
distribution undergoes a "micro" first-order transition. The location of these
nucleosome switches shows a strong correlation with the location of
transcription-factor binding sites.
| cond-mat.soft cond-mat.stat-mech q-bio.GN | we present a statisticalmechanical analysis of the positioning of nucleosomes along one of the chromosomes of yeast dna as a function of the strength of the binding potential and of the chemical potential of the nucleosomes we find a significant density of twolevel nucleosome switching regions where as a function of the chemical potential the nucleosome distribution undergoes a micro firstorder transition the location of these nucleosome switches shows a strong correlation with the location of transcriptionfactor binding sites | [['we', 'present', 'a', 'statisticalmechanical', 'analysis', 'of', 'the', 'positioning', 'of', 'nucleosomes', 'along', 'one', 'of', 'the', 'chromosomes', 'of', 'yeast', 'dna', 'as', 'a', 'function', 'of', 'the', 'strength', 'of', 'the', 'binding', 'potential', 'and', 'of', 'the', 'chemical', 'potential', 'of', 'the', 'nucleosomes', 'we', 'find', 'a', 'significant', 'density', 'of', 'twolevel', 'nucleosome', 'switching', 'regions', 'where', 'as', 'a', 'function', 'of', 'the', 'chemical', 'potential', 'the', 'nucleosome', 'distribution', 'undergoes', 'a', 'micro', 'firstorder', 'transition', 'the', 'location', 'of', 'these', 'nucleosome', 'switches', 'shows', 'a', 'strong', 'correlation', 'with', 'the', 'location', 'of', 'transcriptionfactor', 'binding', 'sites']] | [-0.17634115857669178, 0.09450356108255875, -0.04165045549281132, 0.03040772809002262, 0.046431428203598045, -0.10375845573173884, 0.126542470856713, 0.3746958038268181, -0.26494075015235025, -0.26684812212792725, -0.04158263700082898, -0.2920793132044566, -0.19103287819784898, 0.09295502823228255, 0.04526111602377242, -0.0046473088650367195, 0.05039549774179856, 0.08416246283703889, -0.021391338621003505, -0.10009394929660723, 0.2835858636655105, 0.08702401419241841, 0.2528987784917729, 0.1202317891546931, 0.09566808563585465, -0.023022992905540517, 0.06972286102170937, 0.008342048683120176, -0.1609589087221628, 0.1780426453824009, 0.18184457244112706, 0.107866318585972, 0.28887042871270424, -0.4250726059843332, -0.22910337249199167, 0.10122641164343804, 0.15737317538318726, 0.15852619366099438, -0.09902436559040768, -0.26805887068024814, 0.018224436819601137, -0.14360202432204133, -0.14666424139450568, -0.0013422383210406853, 0.04751275085772459, 0.19932378853599614, -0.2409558826341079, 0.1441357883099371, 0.010191939532374725, 0.10331725436620988, -0.10336800887344931, -0.07798121085700889, -0.1065815021821226, 0.21497713817426792, 0.04061293214535675, 0.06351236935752706, 0.2681566908215292, -0.1271786897037274, -0.11197948899308148, 0.3883580693927331, -0.024620085500944883, -0.14076142211277515, 0.1717595620892751, -0.15212569392931002, -0.125402162102266, 0.1136463221687919, 0.11580013256902114, 0.09259931926536434, -0.16025580528478783, 0.0323861845200344, 0.03696407896365063, 0.22453199391468212, 0.06841176248883876, -0.005683298628681745, 0.23472759906107035, 0.24228518533830842, 0.06937215259919564, 0.16110103850802168, -0.1958384612837854, -0.14221963654749858, -0.26366690702688617, -0.17393606586698204, -0.17068250036428276, 0.0016735029206850017, -0.15376500623544695, -0.2560083632035038, 0.4589294175533817, 0.07788267567491111, 0.23673922051556218, 0.04816460294219164, 0.21009158475611073, 0.060194465663069144, 0.11242815318445747, -0.06943038357302356, 0.19604594231798098, 0.09664034586137113, 0.06219909204026827, -0.31396565784533054, 0.10376844832148308, 0.011720710347454326] |
712.1064 | Environmentally-Induced Rabi Oscillations and Decoherence in Phase
Qubits | We study decoherence effects in a dc SQUID phase qubit caused by an isolation
circuit with a resonant frequency. The coupling between the SQUID phase qubit
and its environment is modeled via the Caldeira-Leggett formulation of quantum
dissipation/coherence, where the spectral density of the environment is related
to the admittance of the isolation circuit. When the frequency of the qubit is
at least two times larger than the resonance frequency of the isolation
circuit, we find that the decoherence time of the qubit is two orders of
magnitude larger than the typical ohmic regime, where the frequency of the
qubit is much smaller than the resonance frequency of the isolation circuit.
Lastly, we show that when the qubit frequency is on resonance with the
isolation circuit, an oscillatory non-Markovian decay emerges, as the dc SQUID
phase qubit and its environment self-generate Rabi oscillations of
characteristic time scales shorter than the decoherence time.
| cond-mat.supr-con | we study decoherence effects in a dc squid phase qubit caused by an isolation circuit with a resonant frequency the coupling between the squid phase qubit and its environment is modeled via the caldeiraleggett formulation of quantum dissipationcoherence where the spectral density of the environment is related to the admittance of the isolation circuit when the frequency of the qubit is at least two times larger than the resonance frequency of the isolation circuit we find that the decoherence time of the qubit is two orders of magnitude larger than the typical ohmic regime where the frequency of the qubit is much smaller than the resonance frequency of the isolation circuit lastly we show that when the qubit frequency is on resonance with the isolation circuit an oscillatory nonmarkovian decay emerges as the dc squid phase qubit and its environment selfgenerate rabi oscillations of characteristic time scales shorter than the decoherence time | [['we', 'study', 'decoherence', 'effects', 'in', 'a', 'dc', 'squid', 'phase', 'qubit', 'caused', 'by', 'an', 'isolation', 'circuit', 'with', 'a', 'resonant', 'frequency', 'the', 'coupling', 'between', 'the', 'squid', 'phase', 'qubit', 'and', 'its', 'environment', 'is', 'modeled', 'via', 'the', 'caldeiraleggett', 'formulation', 'of', 'quantum', 'dissipationcoherence', 'where', 'the', 'spectral', 'density', 'of', 'the', 'environment', 'is', 'related', 'to', 'the', 'admittance', 'of', 'the', 'isolation', 'circuit', 'when', 'the', 'frequency', 'of', 'the', 'qubit', 'is', 'at', 'least', 'two', 'times', 'larger', 'than', 'the', 'resonance', 'frequency', 'of', 'the', 'isolation', 'circuit', 'we', 'find', 'that', 'the', 'decoherence', 'time', 'of', 'the', 'qubit', 'is', 'two', 'orders', 'of', 'magnitude', 'larger', 'than', 'the', 'typical', 'ohmic', 'regime', 'where', 'the', 'frequency', 'of', 'the', 'qubit', 'is', 'much', 'smaller', 'than', 'the', 'resonance', 'frequency', 'of', 'the', 'isolation', 'circuit', 'lastly', 'we', 'show', 'that', 'when', 'the', 'qubit', 'frequency', 'is', 'on', 'resonance', 'with', 'the', 'isolation', 'circuit', 'an', 'oscillatory', 'nonmarkovian', 'decay', 'emerges', 'as', 'the', 'dc', 'squid', 'phase', 'qubit', 'and', 'its', 'environment', 'selfgenerate', 'rabi', 'oscillations', 'of', 'characteristic', 'time', 'scales', 'shorter', 'than', 'the', 'decoherence', 'time']] | [-0.2156187973558804, 0.21272791139893266, -0.006235215359595635, -0.011215542789258754, -0.00023604659301950442, -0.17965281594680338, 0.06525384917290919, 0.3685729538170707, -0.21271845384960414, -0.2686210131729083, 0.05768467505410042, -0.23933224635359074, -0.09139691184533896, 0.26154056309247453, 0.007620228207762668, 0.01874330237936475, 0.02394305717274053, 0.06742439292593311, -0.051325279442186386, -0.16279791568140714, 0.2796047701290654, 0.05523160623235394, 0.2756030951342885, -0.01334588345608964, 0.07859961861214101, -0.05001502568580654, 0.09258322944149178, -0.03662010614717046, -0.05894421052711165, -0.0023937911467491, 0.21668839882072433, 0.03983327187906137, 0.2562811841867519, -0.46672410673357, -0.16803982191709863, 0.09492321066567612, 0.1332631225062423, 0.1568086931963038, 0.05433562180776741, -0.30496651713816536, 0.01308468470060026, -0.1535704328912921, -0.05959109476280232, 0.008532604153286542, 0.037609300112802016, -0.041162556618612435, -0.25502207597705306, 0.11697323281095912, 0.09302638764400652, 0.05679013370998845, 0.0028680394271030922, -0.0537202073236471, 0.03058161780497195, 0.0813684550504083, -0.02144668801126397, 0.005713685370969358, 0.24590322942417486, -0.09873677975504308, -0.12048233490412598, 0.3040796322663259, -0.08381476169583135, -0.12539182076869002, 0.16710215557786012, -0.21713580194219256, 0.014685848538165555, 0.10116943050582973, 0.09455876265782, 0.0671377070063096, -0.15916463922626733, 0.04565342172397461, 0.06589431420742652, 0.25254282923970395, 0.0773186618338851, 0.13852664139368479, 0.1515825086994874, 0.21577448451533815, 0.11074177926060873, 0.20083798011703208, -0.11684572716268236, -0.09155219677058572, -0.28505508926086476, -0.10661967293554393, -0.2203576174126753, 0.10187955877268749, -0.10190665281500316, -0.14350497447546348, 0.4805703287487788, 0.14594298409335069, 0.15600795584379246, 0.024631345397885272, 0.38253802490352795, 0.24489928461188784, 0.1042443800436962, 0.03958963538483032, 0.2636192605972586, 0.17999917942419993, 0.07703885186574613, -0.40672917010274945, 0.039502258190502786, -0.044109185241680865] |
712.1065 | Essential optical states in $\pi$-conjugated polymer thin films | We develop a theory of the electronic structure and photophysics of
interacting chains of $\pi$-conjugated polymers to understand the differences
between solutions and films. While photoexcitation generates only the exciton
in solutions, the optical exciton as well as weakly allowed excimers are
generated in films. Photoinduced absorption in films is primarily from the
lowest excimer. We are also able to explain peculiarities associated with
photoluminescence, including delayed photoluminescence and its quenching by
electric field.
| cond-mat.str-el | we develop a theory of the electronic structure and photophysics of interacting chains of piconjugated polymers to understand the differences between solutions and films while photoexcitation generates only the exciton in solutions the optical exciton as well as weakly allowed excimers are generated in films photoinduced absorption in films is primarily from the lowest excimer we are also able to explain peculiarities associated with photoluminescence including delayed photoluminescence and its quenching by electric field | [['we', 'develop', 'a', 'theory', 'of', 'the', 'electronic', 'structure', 'and', 'photophysics', 'of', 'interacting', 'chains', 'of', 'piconjugated', 'polymers', 'to', 'understand', 'the', 'differences', 'between', 'solutions', 'and', 'films', 'while', 'photoexcitation', 'generates', 'only', 'the', 'exciton', 'in', 'solutions', 'the', 'optical', 'exciton', 'as', 'well', 'as', 'weakly', 'allowed', 'excimers', 'are', 'generated', 'in', 'films', 'photoinduced', 'absorption', 'in', 'films', 'is', 'primarily', 'from', 'the', 'lowest', 'excimer', 'we', 'are', 'also', 'able', 'to', 'explain', 'peculiarities', 'associated', 'with', 'photoluminescence', 'including', 'delayed', 'photoluminescence', 'and', 'its', 'quenching', 'by', 'electric', 'field']] | [-0.06653043343937276, 0.2051985418877086, -0.03530212130548584, 0.027553057960373023, -0.005582016137604778, -0.1410904078291276, 0.03645751517772599, 0.5128603334211417, -0.2599902361178318, -0.2808793146364592, 0.01809878400810113, -0.3405282610674968, -0.12948092252544657, 0.16685838003114267, 0.04510430891280742, -0.00118751751614508, -0.03405227542483575, -0.07991103521497869, -0.004067619545133533, -0.14008268726064596, 0.27209286800761884, 0.031097490032127983, 0.27843450779107876, 0.11424100118362017, 0.048166842361899546, -0.01958626285950477, 0.06556185074402271, -0.017325690746106005, -0.13809803871412737, 0.12022275356827555, 0.2779429146919299, -0.08072010419532857, 0.18774878644900447, -0.4811591010893116, -0.2006136225914029, 0.03269475427097515, 0.17700115611424316, 0.17095506751620387, -0.09174935691014587, -0.26632623755800966, 0.05351816334233091, -0.10260883501787493, -0.07621101831161492, -0.09226729254540358, -0.00189057071032506, 0.09058384768384811, -0.20450700548669398, 0.0823097573180299, 0.014416808924776175, 0.053459132587335804, -0.14707396893818686, -0.04586997521157075, -0.1174481855736844, 0.06813324381270118, 0.07207574114845311, -0.019986750048308355, 0.22918767045327537, -0.16558854577030885, -0.1352723887995691, 0.3797903300162304, -0.10091208557069704, -0.06833532502925074, 0.20363031799049192, -0.19230460403235378, -0.06087193186269016, 0.2002021353314253, 0.09016339531218684, 0.15801688644884004, -0.14356469171754135, 0.060669726387729765, 0.02621374512091279, 0.23540549468551134, 0.06162896558541704, 0.13783810979283945, 0.21589522768516797, 0.18261231727445046, -0.014525203965604305, 0.15987508250652133, -0.07345972096349264, -0.07486867412572375, -0.18450672562057907, -0.17341823523511757, -0.1626573123062986, 0.1092598070264668, 0.008802525284409057, -0.1793564876440812, 0.44276062122269255, 0.10150836225649393, 0.1919201909488923, -0.04167649321371337, 0.20606546829504943, 0.08699888957198709, 0.035543358605512346, -0.025280467058355745, 0.26559783208712534, 0.23419535531649818, 0.12406419457024517, -0.2987885092403991, 0.08239470117070989, -0.012865740245812246] |
712.1066 | Realizable response matrices of multiterminal electrical, acoustic, and
elastodynamic networks at a given frequency | We give a complete characterization of the possible response matrices at a
fixed frequency of n-terminal electrical networks of inductors, capacitors,
resistors and grounds, and of n-terminal discrete linear elastodynamic networks
of springs and point masses, both in the three-dimensional case and in the
two-dimensional case. Specifically we construct networks which realize any
response matrix which is compatible with the known symmetry properties and
thermodynamic constraints of response matrices. Due to a mathematical
equivalence we also obtain a characterization of the response matrices of
discrete acoustic networks.
| cond-mat.mtrl-sci | we give a complete characterization of the possible response matrices at a fixed frequency of nterminal electrical networks of inductors capacitors resistors and grounds and of nterminal discrete linear elastodynamic networks of springs and point masses both in the threedimensional case and in the twodimensional case specifically we construct networks which realize any response matrix which is compatible with the known symmetry properties and thermodynamic constraints of response matrices due to a mathematical equivalence we also obtain a characterization of the response matrices of discrete acoustic networks | [['we', 'give', 'a', 'complete', 'characterization', 'of', 'the', 'possible', 'response', 'matrices', 'at', 'a', 'fixed', 'frequency', 'of', 'nterminal', 'electrical', 'networks', 'of', 'inductors', 'capacitors', 'resistors', 'and', 'grounds', 'and', 'of', 'nterminal', 'discrete', 'linear', 'elastodynamic', 'networks', 'of', 'springs', 'and', 'point', 'masses', 'both', 'in', 'the', 'threedimensional', 'case', 'and', 'in', 'the', 'twodimensional', 'case', 'specifically', 'we', 'construct', 'networks', 'which', 'realize', 'any', 'response', 'matrix', 'which', 'is', 'compatible', 'with', 'the', 'known', 'symmetry', 'properties', 'and', 'thermodynamic', 'constraints', 'of', 'response', 'matrices', 'due', 'to', 'a', 'mathematical', 'equivalence', 'we', 'also', 'obtain', 'a', 'characterization', 'of', 'the', 'response', 'matrices', 'of', 'discrete', 'acoustic', 'networks']] | [-0.14990015442472424, 0.10253465384373377, -0.011126339772780394, -0.006168105076174198, -0.06411992018004002, -0.14962120185038824, 0.07352210295482955, 0.3751579659787574, -0.24253512159974752, -0.22976800848076911, 0.11024844493106778, -0.27471153822930894, -0.24743075911812057, 0.15626479558989234, -0.017898372374475002, 0.08335008739825638, -0.005189127743715185, 0.019775473191563427, -0.11186854805778605, -0.15470786995907454, 0.2945353914742711, 0.031439461777436326, 0.3068866578048502, 0.03983146271764718, 0.1303506621544988, -0.011395109394543815, 0.020639353249778693, 0.027775210843571388, -0.10088742016975222, 0.10998043395718024, 0.25645953379892583, 0.026665543650287664, 0.19118653121671972, -0.49080144372051476, -0.21503865902429853, 0.1358121991299371, 0.05299705104506307, 0.10966231469225524, -0.009475328178070057, -0.22573853091834561, 0.06631984605571661, -0.14668736306565075, -0.13782009623687844, -0.07035351006431911, 0.012553852956056938, 0.04904374527348869, -0.3094925147684655, 0.054934316665006415, 0.08846525132292132, 0.06466867877491589, -0.08104364565525461, -0.0848548761301342, -0.023520202333129, 0.1249305506547292, -0.04235182660524787, -0.08356508685961023, 0.11556034497836412, -0.10984905103713959, -0.1268994225116832, 0.39450552258854626, -0.018826595389808732, -0.2230612025863823, 0.17335982460143237, -0.11070114291733367, -0.1048560729651744, 0.08566385231398303, 0.20869711188642287, 0.08617449597316398, -0.19518755065229046, 0.0869711112604348, -0.04872782869885365, 0.15641679270253195, 0.07232709961204693, 0.05347916172902988, 0.1922946696801261, 0.1875276356485897, 0.07561653454242082, 0.1706101855412982, -0.015207744554091972, -0.024321905123845983, -0.2824921081506315, -0.12154415656006949, -0.19985926563412637, 0.09688654904863958, -0.11076487019981242, -0.23664384124393778, 0.4474632066899332, 0.09856661787021091, 0.1838206110532856, 0.13181524991657284, 0.2537226701455041, 0.10046938455385294, 0.07299586768722398, 0.04777014888180741, 0.1990117390650785, 0.2291787110012153, 0.1000324163596606, -0.19275639291274652, 0.018457228794222933, 0.05045559944520737] |
712.1067 | A Compact Extreme Scattering Event Cloud Towards AO 0235+164 | We present observations of a rare, rapid, high amplitude Extreme Scattering
Event toward the compact BL-Lac AO 0235+164 at 6.65 GHz. The ESE cloud is
compact; we estimate its diameter between 0.09 and 0.9 AU, and is at a distance
of less than 3.6 kpc. Limits on the angular extent of the ESE cloud imply a
minimum cloud electron density of ~ 4 x 10^3 cm^-3. Based on the amplitude and
timescale of the ESE observed here, we suggest that at least one of the
transients reported by Bower et al. (2007) may be attributed to ESEs.
| astro-ph | we present observations of a rare rapid high amplitude extreme scattering event toward the compact bllac ao 0235164 at 665 ghz the ese cloud is compact we estimate its diameter between 009 and 09 au and is at a distance of less than 36 kpc limits on the angular extent of the ese cloud imply a minimum cloud electron density of 4 x 103 cm3 based on the amplitude and timescale of the ese observed here we suggest that at least one of the transients reported by bower et al 2007 may be attributed to eses | [['we', 'present', 'observations', 'of', 'a', 'rare', 'rapid', 'high', 'amplitude', 'extreme', 'scattering', 'event', 'toward', 'the', 'compact', 'bllac', 'ao', '0235164', 'at', '665', 'ghz', 'the', 'ese', 'cloud', 'is', 'compact', 'we', 'estimate', 'its', 'diameter', 'between', '009', 'and', '09', 'au', 'and', 'is', 'at', 'a', 'distance', 'of', 'less', 'than', '36', 'kpc', 'limits', 'on', 'the', 'angular', 'extent', 'of', 'the', 'ese', 'cloud', 'imply', 'a', 'minimum', 'cloud', 'electron', 'density', 'of', '4', 'x', '103', 'cm3', 'based', 'on', 'the', 'amplitude', 'and', 'timescale', 'of', 'the', 'ese', 'observed', 'here', 'we', 'suggest', 'that', 'at', 'least', 'one', 'of', 'the', 'transients', 'reported', 'by', 'bower', 'et', 'al', '2007', 'may', 'be', 'attributed', 'to', 'eses']] | [-0.12677063554413812, 0.11559372215803403, -0.07512823650904465, 0.05355266684637172, -0.03149274750224625, -0.08107875739612307, 0.0984328865815769, 0.40506085086720606, -0.14508151194119515, -0.36799734555825125, 0.12049783580005169, -0.29639061625736457, -0.032284977063075836, 0.20193983921247613, -0.052223860426844716, -0.02619825708643475, 0.05174637776993526, -0.06185809897336488, -0.055764837621003004, -0.1952476833636562, 0.2336005570347576, 0.14256996977201197, 0.21255374870694746, 0.057256700267316774, 0.11527650009763117, -0.05324243020125626, -0.04160950432318108, -0.034202969126151096, -0.1349638478354033, 0.07352993380724608, 0.18874485077685677, 0.10413781961930606, 0.21574543805521293, -0.35415347033025074, -0.179485172421361, 0.03631948756325679, 0.12444003805770383, -0.004272467273949587, 0.01921269808614549, -0.26177656842628494, 0.09760300506301671, -0.17343473985723298, -0.19099138713985062, 0.09517813439985427, 0.14175985562299806, -0.0007588367977101976, -0.24537333431847705, 0.1591260545392288, -0.0036014108724581697, 0.06554446478063862, -0.04334185633949043, -0.15937111207555668, -0.025163639656966552, -0.018381468687342323, -0.04048034536632864, 0.13992776730947298, 0.15781879038452948, -0.0603100703125771, -0.07852853635025288, 0.33893963731922366, -0.05828125062013593, 0.017264486426332343, 0.2570095269693411, -0.22780003090641307, -0.16311560852530724, 0.20963288124767132, 0.17794528826561873, 0.12368629719518746, -0.10540651669725776, 0.004595081489848478, -0.013184047351387562, 0.24408485484309494, 0.08021984710649122, 0.07825386038651534, 0.26084567995470326, 0.1463775686891798, 0.05796013772002576, 0.059126712953002425, -0.28294843734814396, 0.004681841680697592, -0.22572058668689957, -0.08049737479692946, -0.17595457441348117, 0.11387963373272214, -0.13389843186647946, -0.059663968529397, 0.32337218668059603, 0.14343535383644243, 0.24379830576557046, -0.0023361659380801334, 0.23460126153077, 0.09680681547615677, 0.06243489711293174, 0.16105290594956992, 0.32082639293124277, 0.11423077768267831, 0.09128110424110976, -0.20820102454551184, 0.06259831036974599, -0.008510161208202286] |
712.1068 | Exchange effects in elastic collisions of spin-polarized electrons with
open-shell molecules with $^3\Sigma_g^-$ symmetry | The spin-exchange effect in spin-polarized electron collisions with
unpolarized open-shell molecules, O$_2$, B$_2$, S$_2$ and Si$_2$, has been
studied by the R-matrix method with the fixed-bond approximation. All of these
molecules have ${}^3 \Sigma_{g}^{-}$ symmetry in their ground states. Usual
integrated cross sections with unpolarized electrons has also been studied. We
used the complete active space self consistent field orbitals and put more than
10 target electronic states in the R-matrix models. In electron O$_2$ elastic
collisions, calculated polarization fractions agree well with the experimental
results, especially around the ${}^4 \Sigma_u^-$ resonance. In e-B$_2$, S$_2$
and Si$_2$ elastic collisions, larger spin-exchange effect is observed compared
to the e-O$_2$ elastic collisions. In all four cases, spin-exchange effect
becomes prominent near resonances. This association of resonance and magnitude
of the spin-exchange effect was studied by explicitly removing the resonance
configurations from the R-matrix calculations. In general, spin-exchange effect
is larger in e-B$_2$ collisions than in e-S$_2$ and Si$_2$ collisions, and is
smallest in e-O$_2$ collisions.
| physics.chem-ph physics.atom-ph | the spinexchange effect in spinpolarized electron collisions with unpolarized openshell molecules o_2 b_2 s_2 and si_2 has been studied by the rmatrix method with the fixedbond approximation all of these molecules have 3 sigma_g symmetry in their ground states usual integrated cross sections with unpolarized electrons has also been studied we used the complete active space self consistent field orbitals and put more than 10 target electronic states in the rmatrix models in electron o_2 elastic collisions calculated polarization fractions agree well with the experimental results especially around the 4 sigma_u resonance in eb_2 s_2 and si_2 elastic collisions larger spinexchange effect is observed compared to the eo_2 elastic collisions in all four cases spinexchange effect becomes prominent near resonances this association of resonance and magnitude of the spinexchange effect was studied by explicitly removing the resonance configurations from the rmatrix calculations in general spinexchange effect is larger in eb_2 collisions than in es_2 and si_2 collisions and is smallest in eo_2 collisions | [['the', 'spinexchange', 'effect', 'in', 'spinpolarized', 'electron', 'collisions', 'with', 'unpolarized', 'openshell', 'molecules', 'o_2', 'b_2', 's_2', 'and', 'si_2', 'has', 'been', 'studied', 'by', 'the', 'rmatrix', 'method', 'with', 'the', 'fixedbond', 'approximation', 'all', 'of', 'these', 'molecules', 'have', '3', 'sigma_g', 'symmetry', 'in', 'their', 'ground', 'states', 'usual', 'integrated', 'cross', 'sections', 'with', 'unpolarized', 'electrons', 'has', 'also', 'been', 'studied', 'we', 'used', 'the', 'complete', 'active', 'space', 'self', 'consistent', 'field', 'orbitals', 'and', 'put', 'more', 'than', '10', 'target', 'electronic', 'states', 'in', 'the', 'rmatrix', 'models', 'in', 'electron', 'o_2', 'elastic', 'collisions', 'calculated', 'polarization', 'fractions', 'agree', 'well', 'with', 'the', 'experimental', 'results', 'especially', 'around', 'the', '4', 'sigma_u', 'resonance', 'in', 'eb_2', 's_2', 'and', 'si_2', 'elastic', 'collisions', 'larger', 'spinexchange', 'effect', 'is', 'observed', 'compared', 'to', 'the', 'eo_2', 'elastic', 'collisions', 'in', 'all', 'four', 'cases', 'spinexchange', 'effect', 'becomes', 'prominent', 'near', 'resonances', 'this', 'association', 'of', 'resonance', 'and', 'magnitude', 'of', 'the', 'spinexchange', 'effect', 'was', 'studied', 'by', 'explicitly', 'removing', 'the', 'resonance', 'configurations', 'from', 'the', 'rmatrix', 'calculations', 'in', 'general', 'spinexchange', 'effect', 'is', 'larger', 'in', 'eb_2', 'collisions', 'than', 'in', 'es_2', 'and', 'si_2', 'collisions', 'and', 'is', 'smallest', 'in', 'eo_2', 'collisions']] | [-0.11219867714349169, 0.2023979580395301, -0.030770888668484986, 0.11540123554612687, 0.05802256583171319, -0.11331976051265492, -0.039808995609136325, 0.41087844288801845, -0.18715246269019628, -0.2662684521225246, -0.04657299903109434, -0.36738071700888153, -0.0032720049147647394, 0.13951626435936063, 0.09529504343820146, 0.05133300558722849, 0.05922856490102691, 0.007563320407054469, -0.03761596805592881, -0.20280550447398726, 0.2705133304742601, 0.08383009225554482, 0.24301857523593604, 0.12721316203109542, 0.024920886974852487, 0.05384844484447231, 0.06545805183454428, -0.027201631976707556, -0.13028619066764943, 0.093203972703652, 0.2802220308851155, -0.04619583731835496, 0.12494416433810905, -0.47454239073197674, -0.14204318424733944, 0.08447007314431705, 0.176938775142867, 0.160962810154851, -0.038169742516655315, -0.2591431519912579, 0.0017708050428972214, -0.20738013121712057, -0.11696335583755045, -0.05544079147585774, 0.08467625690509176, -0.018682480774984897, -0.26668197859691667, 0.11525506099308046, 0.012077341293120356, 0.13186008004648309, -0.11074953490891788, -0.22277945078706038, -0.07322951845082018, -0.01610883520739271, 0.035664038380454705, 0.05567962154259764, 0.1921223357763389, -0.0794822311469448, -0.13149077124868613, 0.401816761875643, -0.04577018675792968, -0.14342602117788755, 0.1774928319869162, -0.2183621132604872, -0.09283531267974007, 0.21626416976339644, 0.1378797386342636, 0.11286107728941532, -0.1447659894717928, 0.09351975775008456, -0.014968114714226627, 0.1302933120743454, 0.11418252607477428, 0.04599368674540597, 0.12749693427187733, 0.15293759010036628, -0.013921045533917797, 0.1123025235734715, -0.12685186738631676, -0.0848452891134716, -0.2305986249393524, -0.09049089019528672, -0.1304585762230585, 0.035229571359644676, -0.009041223989812882, -0.03175076414665938, 0.30802221973485583, 0.07761041938803966, 0.22519819214468514, -0.09064718093457809, 0.2812401031930872, 0.10651187968876542, 0.10210768906605913, 0.05373484869944403, 0.31491455417074843, 0.20635966109583462, 0.05573953379275678, -0.2877932074877634, 0.046071791729618665, 0.01311457961726981] |
712.1069 | Strongly minimal PD4-complexes | We consider the homotopy types of $PD_4$-complexes $X$ with fundamental group
$\pi$ such that $c.d.\pi=2$ and $\pi$ has one end. Let $\beta=\beta_2(\pi;F_2)$
and $w=w_1(X)$. Our main result is that (modulo two technical conditions on
$(\pi,w)$) there are at most $2^\beta$ orbits of $k$-invariants determining
"strongly minimal" complexes (i.e., those with homotopy intersection pairing
$\lambda_X$ trivial). The homotopy type of a $PD_4$-complex $X$ with $\pi$ a
$PD_2$-group is determined by $\pi$, $w$, $\lambda_X$ and the $v_2$-type of
$X$. Our result also implies that Fox's 2-knot with metabelian group is
determined up to TOP isotopy and reflection by its group.
| math.GT | we consider the homotopy types of pd_4complexes x with fundamental group pi such that cdpi2 and pi has one end let betabeta_2pif_2 and ww_1x our main result is that modulo two technical conditions on piw there are at most 2beta orbits of kinvariants determining strongly minimal complexes ie those with homotopy intersection pairing lambda_x trivial the homotopy type of a pd_4complex x with pi a pd_2group is determined by pi w lambda_x and the v_2type of x our result also implies that foxs 2knot with metabelian group is determined up to top isotopy and reflection by its group | [['we', 'consider', 'the', 'homotopy', 'types', 'of', 'pd_4complexes', 'x', 'with', 'fundamental', 'group', 'pi', 'such', 'that', 'cdpi2', 'and', 'pi', 'has', 'one', 'end', 'let', 'betabeta_2pif_2', 'and', 'ww_1x', 'our', 'main', 'result', 'is', 'that', 'modulo', 'two', 'technical', 'conditions', 'on', 'piw', 'there', 'are', 'at', 'most', '2beta', 'orbits', 'of', 'kinvariants', 'determining', 'strongly', 'minimal', 'complexes', 'ie', 'those', 'with', 'homotopy', 'intersection', 'pairing', 'lambda_x', 'trivial', 'the', 'homotopy', 'type', 'of', 'a', 'pd_4complex', 'x', 'with', 'pi', 'a', 'pd_2group', 'is', 'determined', 'by', 'pi', 'w', 'lambda_x', 'and', 'the', 'v_2type', 'of', 'x', 'our', 'result', 'also', 'implies', 'that', 'foxs', '2knot', 'with', 'metabelian', 'group', 'is', 'determined', 'up', 'to', 'top', 'isotopy', 'and', 'reflection', 'by', 'its', 'group']] | [-0.21303893166148793, 0.14479454469097697, -0.07865660815719899, -0.000388813206328727, -0.05409903061809018, -0.18663159345337393, 0.05080349152178868, 0.361926545940704, -0.3175380357057767, -0.2262458723321881, 0.057040327737290085, -0.2673378061381695, -0.11195727152517065, 0.19015132612548769, -0.09541329406783916, -0.055887976736614844, 0.04209683482112387, 0.11252822631428464, -0.059601103525062135, -0.23352600043163757, 0.40501298123727675, -0.08390376295732416, 0.16269756586612144, 0.033248314884511514, 0.06767879080270296, 0.01376553330793167, 0.0034358597780658824, -0.03190624715163089, -0.16066803459105597, 0.12273361857059291, 0.2859761375913639, 0.03350525563987701, 0.16133691546122503, -0.2949584859180386, -0.0933995266981504, 0.16423595047292663, 0.13520582599765318, -0.05988413308058744, -0.023470152317515938, -0.2942772493697703, 0.22162539545578233, -0.14347358081368325, -0.13162892376599106, -0.03990770011391167, 0.10545801561649727, 0.015082434103216814, -0.20947540608113227, -0.04355202846351819, 0.07882436697938196, 0.10553634660217263, 0.010397719321823071, -0.15195228585608953, -0.09250271065241616, 0.1013130180578193, 0.07271088697851393, 0.1056335698661354, 0.10369875430352175, -0.05810843622463796, -0.11226918476471759, 0.42763505679676717, -0.04211336070590693, -0.18262913372840875, 0.18518272707866423, -0.17428867858530872, -0.17677930782488344, 0.17759606183466056, 0.004062472022664936, 0.12283737364265582, -0.03250149922931324, 0.20170626404148567, -0.10311579515995539, 0.1394859730903788, 0.08379680621336498, -0.0291443896105351, 0.10300773578068323, 0.12150879498601527, 0.09804285988819016, 0.06636684440562259, 0.0021153025141836183, 0.01901198579909523, -0.36008047105987434, -0.17335686383202023, -0.10347955894109834, 0.1446685804884233, -0.08431253237991453, -0.12048676432839231, 0.36976323021656793, 0.01835780514849593, 0.18777047227258267, 0.0989578609334548, 0.20554482122964185, 0.07528259587200845, 0.0371044284395833, 0.06535430883725538, 0.13023893215374657, 0.20322275046846303, -0.07530916556994349, -0.16492240948339357, 0.021201919460588175, 0.18607987669984932] |
712.107 | State transition of a non-Ohmic damping system in a corrugated plane | Anomalous transport of a particle subjected to non-Ohmic damping of the power
$\delta$ in a tilted periodic potential is investigated via Monte Carlo
simulation of generalized Langevin equation. It is found that the system
exhibits two relative motion modes: the locking state and the running state.
Under the surrounding of sub-Ohmic damping ($0<\delta<1$), the particle should
transfer into a running state from a locking state only when local minima of
the potential vanish; hence the particle occurs a synchronization oscillation
in its mean displacement and mean square displacement (MSD). In particular, the
two motion modes are allowed to coexist in the case of super-Ohmic damping
($1<\delta<2$) for moderate driving forces, namely, where exists double centers
in the velocity distribution. This induces the particle having faster
diffusion, i.e., its MSD reads $<\Delta x^2(t)> = 2D^{(\delta)}_{eff}
t^{\delta_{eff}}$. Our result shows that the effective power index
$\delta_{\textmd{eff}}$ can be enhanced and is a nonmonotonic function of the
temperature and the driving force. The mixture effect of the two motion modes
also leads to a breakdown of hysteresis loop of the mobility.
| cond-mat.stat-mech | anomalous transport of a particle subjected to nonohmic damping of the power delta in a tilted periodic potential is investigated via monte carlo simulation of generalized langevin equation it is found that the system exhibits two relative motion modes the locking state and the running state under the surrounding of subohmic damping 0delta1 the particle should transfer into a running state from a locking state only when local minima of the potential vanish hence the particle occurs a synchronization oscillation in its mean displacement and mean square displacement msd in particular the two motion modes are allowed to coexist in the case of superohmic damping 1delta2 for moderate driving forces namely where exists double centers in the velocity distribution this induces the particle having faster diffusion ie its msd reads delta x2t 2ddelta_eff tdelta_eff our result shows that the effective power index delta_textmdeff can be enhanced and is a nonmonotonic function of the temperature and the driving force the mixture effect of the two motion modes also leads to a breakdown of hysteresis loop of the mobility | [['anomalous', 'transport', 'of', 'a', 'particle', 'subjected', 'to', 'nonohmic', 'damping', 'of', 'the', 'power', 'delta', 'in', 'a', 'tilted', 'periodic', 'potential', 'is', 'investigated', 'via', 'monte', 'carlo', 'simulation', 'of', 'generalized', 'langevin', 'equation', 'it', 'is', 'found', 'that', 'the', 'system', 'exhibits', 'two', 'relative', 'motion', 'modes', 'the', 'locking', 'state', 'and', 'the', 'running', 'state', 'under', 'the', 'surrounding', 'of', 'subohmic', 'damping', '0delta1', 'the', 'particle', 'should', 'transfer', 'into', 'a', 'running', 'state', 'from', 'a', 'locking', 'state', 'only', 'when', 'local', 'minima', 'of', 'the', 'potential', 'vanish', 'hence', 'the', 'particle', 'occurs', 'a', 'synchronization', 'oscillation', 'in', 'its', 'mean', 'displacement', 'and', 'mean', 'square', 'displacement', 'msd', 'in', 'particular', 'the', 'two', 'motion', 'modes', 'are', 'allowed', 'to', 'coexist', 'in', 'the', 'case', 'of', 'superohmic', 'damping', '1delta2', 'for', 'moderate', 'driving', 'forces', 'namely', 'where', 'exists', 'double', 'centers', 'in', 'the', 'velocity', 'distribution', 'this', 'induces', 'the', 'particle', 'having', 'faster', 'diffusion', 'ie', 'its', 'msd', 'reads', 'delta', 'x2t', '2ddelta_eff', 'tdelta_eff', 'our', 'result', 'shows', 'that', 'the', 'effective', 'power', 'index', 'delta_textmdeff', 'can', 'be', 'enhanced', 'and', 'is', 'a', 'nonmonotonic', 'function', 'of', 'the', 'temperature', 'and', 'the', 'driving', 'force', 'the', 'mixture', 'effect', 'of', 'the', 'two', 'motion', 'modes', 'also', 'leads', 'to', 'a', 'breakdown', 'of', 'hysteresis', 'loop', 'of', 'the', 'mobility']] | [-0.19834045842878692, 0.22370889795216164, -0.1059213714759754, 0.01377495215542015, -0.01331147652429839, -0.16066776478566744, 0.02066251562423897, 0.3345248220895214, -0.3017778630507575, -0.25744563174144974, 0.05596023738878008, -0.2773528473569487, -0.11790747119076336, 0.18353887113485615, 0.0022791015718870893, 0.020078787290432287, 0.040821276546252526, 0.06744820100988594, -0.02345748562312246, -0.155824715020028, 0.2473374713592274, 0.03738845912833302, 0.28801549959595946, 0.03233100662921855, 0.11540195252512175, -0.0034917489071537196, 0.06304219454639302, 0.04603095078605345, -0.11764074305660191, -0.005291072818338229, 0.13152546208785398, -0.02856313246877693, 0.26498714119367217, -0.39508592864584136, -0.20404264447546896, 0.11093493187585952, 0.1715038736570284, 0.11203008204773497, -0.04038321865513792, -0.24104224243228078, 0.0048938629902556706, -0.17151941235937262, -0.15525309748254482, -0.041225764437460864, 0.03820359691088998, 0.044469660313949846, -0.29533010156525447, 0.17619627178144834, 0.06714080125462275, 0.03596995009815898, -0.06752886358600367, -0.09756093963528395, -0.04622007062225121, 0.12012226073738407, 0.06672499701146561, 0.023628996877834714, 0.1864890812136147, -0.154994208892893, -0.07281121203204853, 0.36880668450746384, -0.1111431804809441, -0.21807543208472024, 0.1797830128444134, -0.17085170294104637, -0.030933735156217695, 0.1585607387810603, 0.135383531847305, 0.07347530130050733, -0.12239399388468966, 0.0728049917887875, 0.04620954051383653, 0.16570851106153822, 0.05891968740883615, 0.011152535462859034, 0.17302559793594924, 0.16030559014935775, 0.0839050116931388, 0.15107751196958177, -0.15226697897198663, -0.16313936912063937, -0.2896228323626364, -0.14314345379852444, -0.183989971633947, 0.05843194379556881, -0.10409534372618133, -0.18087546889477507, 0.4103359365461116, 0.132762934550932, 0.1666221923861203, 0.040904146104638904, 0.286357758389438, 0.17399145920303297, 0.04619554571550468, 0.07534978818683617, 0.2723216129541825, 0.14001721769421435, 0.10964976090552478, -0.3425385954457967, 0.0540216980547505, 0.010124414923718605] |
712.1071 | High spatial resolution X-ray spectroscopy of SNR Cassiopeia A with {\sl
Chandra} | We present high spatial resolution X-ray spectroscopy of supernova remnant
Cassiopeia A with the {\sl Chandra} observations. The X-ray emitting region of
this remnant was divided into 38 $\times$ 34 pixels with a scale of 10$\arcsec$
$\times$ 10$\arcsec$ each. Spectra of 960 pixels were created and fitted with
an absorbed two component non-equilibrium ionization model. With the spectral
analysis results we obtained maps of absorbing column density, temperatures,
ionization ages, and the abundances for Ne, Mg, Si, S, Ca and Fe. The Si, S and
possibly Ca abundance maps show obviously jet structures, while Fe doesn't
follow the jet but seems to be distributed perpendicular to it. In the range of
about two orders of magnitude, the abundances of Si, S and Ca show tight
correlations between each other, suggesting them to be ejecta from explosive
O-burning and incomplete Si-burning. Meanwhile, Ne abundance is well correlated
with that of Mg, indicating them to be the ashes of explosive C/Ne burning. The
Fe abundance is positively correlated with that of Si when Si abundance is
lower than 3 solar abundances, but a negative correlation appears when the Si
abundance is higher. We suggest that such a two phase correlation is the
results of different ways in which Fe is synthesized.
| astro-ph | we present high spatial resolution xray spectroscopy of supernova remnant cassiopeia a with the sl chandra observations the xray emitting region of this remnant was divided into 38 times 34 pixels with a scale of 10arcsec times 10arcsec each spectra of 960 pixels were created and fitted with an absorbed two component nonequilibrium ionization model with the spectral analysis results we obtained maps of absorbing column density temperatures ionization ages and the abundances for ne mg si s ca and fe the si s and possibly ca abundance maps show obviously jet structures while fe doesnt follow the jet but seems to be distributed perpendicular to it in the range of about two orders of magnitude the abundances of si s and ca show tight correlations between each other suggesting them to be ejecta from explosive oburning and incomplete siburning meanwhile ne abundance is well correlated with that of mg indicating them to be the ashes of explosive cne burning the fe abundance is positively correlated with that of si when si abundance is lower than 3 solar abundances but a negative correlation appears when the si abundance is higher we suggest that such a two phase correlation is the results of different ways in which fe is synthesized | [['we', 'present', 'high', 'spatial', 'resolution', 'xray', 'spectroscopy', 'of', 'supernova', 'remnant', 'cassiopeia', 'a', 'with', 'the', 'sl', 'chandra', 'observations', 'the', 'xray', 'emitting', 'region', 'of', 'this', 'remnant', 'was', 'divided', 'into', '38', 'times', '34', 'pixels', 'with', 'a', 'scale', 'of', '10arcsec', 'times', '10arcsec', 'each', 'spectra', 'of', '960', 'pixels', 'were', 'created', 'and', 'fitted', 'with', 'an', 'absorbed', 'two', 'component', 'nonequilibrium', 'ionization', 'model', 'with', 'the', 'spectral', 'analysis', 'results', 'we', 'obtained', 'maps', 'of', 'absorbing', 'column', 'density', 'temperatures', 'ionization', 'ages', 'and', 'the', 'abundances', 'for', 'ne', 'mg', 'si', 's', 'ca', 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712.1072 | Generalised morphisms of k-graphs: k-morphs | In a number of recent papers, (k+l)-graphs have been constructed from
k-graphs by inserting new edges in the last l dimensions. These constructions
have been motivated by C*-algebraic considerations, so they have not been
treated systematically at the level of higher-rank graphs themselves. Here we
introduce k-morphs, which provide a systematic unifying framework for these
various constructions. We think of k-morphs as the analogue, at the level of
k-graphs, of C*-correspondences between C*-algebras. To make this analogy
explicit, we introduce a category whose objects are k-graphs and whose
morphisms are isomorphism classes of k-morphs. We show how to extend the
assignment \Lambda \mapsto C*(\Lambda) to a functor from this category to the
category whose objects are C*-algebras and whose morphisms are isomorphism
classes of C*-correspondences.
| math.OA | in a number of recent papers klgraphs have been constructed from kgraphs by inserting new edges in the last l dimensions these constructions have been motivated by calgebraic considerations so they have not been treated systematically at the level of higherrank graphs themselves here we introduce kmorphs which provide a systematic unifying framework for these various constructions we think of kmorphs as the analogue at the level of kgraphs of ccorrespondences between calgebras to make this analogy explicit we introduce a category whose objects are kgraphs and whose morphisms are isomorphism classes of kmorphs we show how to extend the assignment lambda mapsto clambda to a functor from this category to the category whose objects are calgebras and whose morphisms are isomorphism classes of ccorrespondences | [['in', 'a', 'number', 'of', 'recent', 'papers', 'klgraphs', 'have', 'been', 'constructed', 'from', 'kgraphs', 'by', 'inserting', 'new', 'edges', 'in', 'the', 'last', 'l', 'dimensions', 'these', 'constructions', 'have', 'been', 'motivated', 'by', 'calgebraic', 'considerations', 'so', 'they', 'have', 'not', 'been', 'treated', 'systematically', 'at', 'the', 'level', 'of', 'higherrank', 'graphs', 'themselves', 'here', 'we', 'introduce', 'kmorphs', 'which', 'provide', 'a', 'systematic', 'unifying', 'framework', 'for', 'these', 'various', 'constructions', 'we', 'think', 'of', 'kmorphs', 'as', 'the', 'analogue', 'at', 'the', 'level', 'of', 'kgraphs', 'of', 'ccorrespondences', 'between', 'calgebras', 'to', 'make', 'this', 'analogy', 'explicit', 'we', 'introduce', 'a', 'category', 'whose', 'objects', 'are', 'kgraphs', 'and', 'whose', 'morphisms', 'are', 'isomorphism', 'classes', 'of', 'kmorphs', 'we', 'show', 'how', 'to', 'extend', 'the', 'assignment', 'lambda', 'mapsto', 'clambda', 'to', 'a', 'functor', 'from', 'this', 'category', 'to', 'the', 'category', 'whose', 'objects', 'are', 'calgebras', 'and', 'whose', 'morphisms', 'are', 'isomorphism', 'classes', 'of', 'ccorrespondences']] | [-0.10428968838776552, 0.12017950369796206, -0.07846909759551167, 0.06864145720347521, -0.10760331702148242, -0.12088635249904567, 0.009331668246417277, 0.4323335336821695, -0.3464106709035414, -0.3050426846415165, 0.07676140337829448, -0.2550678165228624, -0.14313213602309266, 0.13953300651759962, -0.16041204062921385, -0.0074970237985854185, 0.043692189862110445, 0.07587906405833858, -0.06351153263465441, -0.24799092969061026, 0.43072242531625016, -0.016144670643693498, 0.17687280182801787, 0.039193267681008774, 0.06745467418354124, -0.06683377730810354, -0.03509027036582871, 0.04739580967373425, -0.1784703554895391, 0.1534787906233349, 0.3449354680225013, 0.08695005201321516, 0.22228819873435574, -0.39077616202074195, -0.1386257341495835, 0.18491139521281566, 0.10394653139613388, 0.07415957358053644, -0.0141350474497754, -0.3166426609029933, 0.1111737456418679, -0.21630946785256627, -0.04622915469395417, -0.11008999372772392, 0.0834640430008632, 0.030297723324638943, -0.19400896184942534, -0.055254573847407534, 0.11530741283880366, 0.11186877331478641, -0.020617200827766812, -0.11429838589843243, -0.027615129287662587, 0.13075039015647263, -0.03787223864046316, -0.017747821006078964, 0.07989484636533645, -0.07761514767433607, -0.18766971392887494, 0.3429621871252875, 0.02415858104734892, -0.19542823777714324, 0.18023957466263504, -0.0996121131033907, -0.23569116913413088, 0.10616854182444513, 0.06620511747596244, 0.15275201772249514, -0.09832553565502167, 0.16426900488741306, -0.13115274858559603, 0.06195284602055777, 0.11292698968111747, 0.08464538232956623, 0.1757221454003405, 0.09393626619261809, 0.008817807078406575, 0.16665038012058264, 0.06110567941270288, -0.026832843713852906, -0.3212684325483297, -0.11799938552787588, -0.06556585066456107, 0.13539297949541979, -0.027160249180827035, -0.17202170000922296, 0.3850268418975775, 0.1578679638013484, 0.21782494838079136, 0.1390264114306774, 0.1950040673976717, 0.05037071698649426, 0.10529207197889205, 0.04472590670845802, 0.19797068228945136, 0.22447477137264346, -0.01580708308686172, -0.06008975522173944, -0.012707678258471612, 0.19303499785957917] |
712.1073 | A characterisation of the Calabi product of hyperbolic affine spheres | There exists a well known construction which allows to associate with two
hyperbolic affine spheres $f_i: M_i^{n_i} \to \mathbb R^{n_i+1}$ a new
hyperbolic affine sphere immersion of $I \times M_1 \times M_2$ into $\mathbb
R^{n_1+n_2+3}$. In this paper we deal with the inverse problem: how to
determine from properties of the difference tensor whether a given hyperbolic
affine sphere immersion of a manifold $M^n \to \mathbb R^{n+1}$ can be
decomposed in such a way.
| math.DG | there exists a well known construction which allows to associate with two hyperbolic affine spheres f_i m_in_i to mathbb rn_i1 a new hyperbolic affine sphere immersion of i times m_1 times m_2 into mathbb rn_1n_23 in this paper we deal with the inverse problem how to determine from properties of the difference tensor whether a given hyperbolic affine sphere immersion of a manifold mn to mathbb rn1 can be decomposed in such a way | [['there', 'exists', 'a', 'well', 'known', 'construction', 'which', 'allows', 'to', 'associate', 'with', 'two', 'hyperbolic', 'affine', 'spheres', 'f_i', 'm_in_i', 'to', 'mathbb', 'rn_i1', 'a', 'new', 'hyperbolic', 'affine', 'sphere', 'immersion', 'of', 'i', 'times', 'm_1', 'times', 'm_2', 'into', 'mathbb', 'rn_1n_23', 'in', 'this', 'paper', 'we', 'deal', 'with', 'the', 'inverse', 'problem', 'how', 'to', 'determine', 'from', 'properties', 'of', 'the', 'difference', 'tensor', 'whether', 'a', 'given', 'hyperbolic', 'affine', 'sphere', 'immersion', 'of', 'a', 'manifold', 'mn', 'to', 'mathbb', 'rn1', 'can', 'be', 'decomposed', 'in', 'such', 'a', 'way']] | [-0.15086359683320755, 0.08907101080856389, -0.042807885005863175, -4.922707578063839e-06, -0.10177360184995148, -0.16064216234695372, -0.0337422856423978, 0.3972693482517368, -0.33740487887472326, -0.18959393071094788, 0.11734555559168156, -0.2768649129852242, -0.1554648221548026, 0.15931503384167123, -0.1387692768864023, -0.012721242072681585, 0.0028989224875759748, 0.0704418048909348, -0.15321228517374644, -0.2432172027313047, 0.3553908838269611, -0.13459023538356027, 0.1727627996329425, 0.037679202531257436, 0.16951168895401578, -0.013940669156404005, 0.03504787562026953, 0.051496739719166525, -0.22548569246363412, 0.12079003424635933, 0.3017125266811086, 0.10418724299718936, 0.1818991569868255, -0.383381254117315, -0.15996624795459663, 0.23437754680667744, 0.19707444473169744, -0.07163466234245182, -0.03766436188016087, -0.24909056271685082, 0.048818407444438584, -0.09964612191025582, -0.19881169011609423, -0.0024928295105281803, 0.06452468813707431, -0.03686583581535766, -0.28132132781643626, -0.01056454628188577, 0.1299203927774215, 0.012976372549827728, -0.05013184733252274, -0.09777972800657153, -0.0489586095952998, 0.10466885886853561, 0.012214707055439552, 0.1354022496121211, 0.07946667252367155, 0.027554146059426583, -0.07331537486364444, 0.44198654452338815, -0.08499190867102395, -0.3185688870726153, 0.1249880974387957, -0.14660038989192495, -0.13851411413795883, 0.14956741133937612, 0.19846892289610374, 0.10734399715955886, -0.061608005340935454, 0.18402514853773433, -0.09301983205498093, 0.13755573540563798, 0.08301197701237267, -0.04064537172154006, 0.1873267632909119, 0.0959335124740998, 0.131709641964537, 0.14920545136394342, 0.016626621247269213, -0.03677254465098182, -0.3315291967139476, -0.2186437906319851, -0.13646861569335064, 0.22252242379019865, -0.0964521569872482, -0.17724795331661072, 0.32360786142655545, -0.004174202724243514, 0.2391296927049148, 0.09595842732071308, 0.23264369676892077, 0.04734847642814404, 0.03125606384128332, 0.060361723130982786, 0.10997437518542735, 0.15130935760680586, -0.03718854212719533, -0.13558134277829798, -0.09136402991781425, 0.16365517071163696] |
712.1074 | On sumsets of dissociated sets | In the paper we are studying some properties of subsets Q of sums of
dissociated sets. The exact upper bound for the number of solutions of the
following equation
(1) q_1 + ... + q_p = q_{p+1} + ... + q_{2p}, q_i \in Q
in groups F_2^n is found. Using our approach, we easily prove a recent result
of J. Bourgain on sets of large exponential sums and obtain a tiny improvement
of his theorem. Besides an inverse problem is considered in the article. Let Q
be a set belonging a sumset of two dissociated sets such that equation (1) has
many solutions. We prove that in the case the large proportion of Q is highly
structured.
| math.NT math.CO | in the paper we are studying some properties of subsets q of sums of dissociated sets the exact upper bound for the number of solutions of the following equation 1 q_1 q_p q_p1 q_2p q_i in q in groups f_2n is found using our approach we easily prove a recent result of j bourgain on sets of large exponential sums and obtain a tiny improvement of his theorem besides an inverse problem is considered in the article let q be a set belonging a sumset of two dissociated sets such that equation 1 has many solutions we prove that in the case the large proportion of q is highly structured | [['in', 'the', 'paper', 'we', 'are', 'studying', 'some', 'properties', 'of', 'subsets', 'q', 'of', 'sums', 'of', 'dissociated', 'sets', 'the', 'exact', 'upper', 'bound', 'for', 'the', 'number', 'of', 'solutions', 'of', 'the', 'following', 'equation', '1', 'q_1', 'q_p', 'q_p1', 'q_2p', 'q_i', 'in', 'q', 'in', 'groups', 'f_2n', 'is', 'found', 'using', 'our', 'approach', 'we', 'easily', 'prove', 'a', 'recent', 'result', 'of', 'j', 'bourgain', 'on', 'sets', 'of', 'large', 'exponential', 'sums', 'and', 'obtain', 'a', 'tiny', 'improvement', 'of', 'his', 'theorem', 'besides', 'an', 'inverse', 'problem', 'is', 'considered', 'in', 'the', 'article', 'let', 'q', 'be', 'a', 'set', 'belonging', 'a', 'sumset', 'of', 'two', 'dissociated', 'sets', 'such', 'that', 'equation', '1', 'has', 'many', 'solutions', 'we', 'prove', 'that', 'in', 'the', 'case', 'the', 'large', 'proportion', 'of', 'q', 'is', 'highly', 'structured']] | [-0.18640037151743416, 0.1075246706056566, -0.07067200001458535, 0.03944398758122353, -0.011928593075868708, -0.1013280155624401, 0.04573104217652818, 0.3037678065140628, -0.2896464814225005, -0.257487293751048, 0.07347173025482334, -0.3121100735367724, -0.11142903025675979, 0.2137997337375526, -0.06840026291966853, 0.012555540065039639, 0.04811531976210298, 0.056574112718441975, -0.02207801798444793, -0.29656936574071924, 0.3379234929258625, -0.09130850773201221, 0.2109089613263172, 0.04796908839381541, 0.05548581757574101, -0.013370749842444504, -0.006527807524738212, 0.014015927943142338, -0.16255680871634265, 0.15015242575814394, 0.25056948399611023, 0.1449671391164884, 0.3156173549661482, -0.3606184502477171, -0.13980515217581005, 0.19813728204462677, 0.17806118920594194, 0.055294732839145044, -0.03097715695750796, -0.22507960132659516, 0.13955055940055494, -0.17069629341777828, -0.15179921246858108, -0.061367820810388635, 0.0944366151449719, 0.06549782234382022, -0.32196656765235177, 0.05190861553462498, 0.11348229939876883, 0.04499429811834556, -0.08237565553281456, -0.19336103740217234, 0.026478385246634758, 0.06639777575791986, 0.056185114854963976, 0.05500565957347, 0.01613286898592142, -0.10508868458553614, -0.08686250286107813, 0.350539288940598, -0.049125986624319384, -0.22462943396358578, 0.1206015494039834, -0.17810968819281292, -0.15338264404541674, 0.111677647279403, 0.14930644689809047, 0.17766243949773963, -0.08595559952987565, 0.18927323829363255, -0.15313298505282513, 0.1327391483441547, 0.1238802368019673, 0.02162502018769306, 0.10791946566853396, 0.1065168235908021, 0.08180625539400219, 0.15998134120363156, -0.011013709097083105, -0.0010640842676231707, -0.3312501029835807, -0.15161993033931745, -0.20857872318097012, 0.10890732145074893, -0.11319834647548743, -0.16736029512981918, 0.3417209338620995, 0.09787468790266386, 0.2222315728560918, 0.07680592279777759, 0.2072573822785031, 0.12906168286132957, 0.005444703938404995, 0.07631082935774801, 0.14291329966578847, 0.16658298328952192, 0.0007680804141003777, -0.12174833276852344, 0.023180239028685417, 0.13439780732409823] |
712.1075 | The Jacobian as a measure of planar dose congruence | We propose a new starting point for comparing dose distributions in
therapeutic radiation physics using a Jacobian-based measure. The measure is
normalization independent, free of tunable parameters, bounded and converges to
a unique value when comparing unrelated dose distributions. We present a
preliminary demonstration of the sensitivity and general characteristics of
this measure.
| physics.med-ph | we propose a new starting point for comparing dose distributions in therapeutic radiation physics using a jacobianbased measure the measure is normalization independent free of tunable parameters bounded and converges to a unique value when comparing unrelated dose distributions we present a preliminary demonstration of the sensitivity and general characteristics of this measure | [['we', 'propose', 'a', 'new', 'starting', 'point', 'for', 'comparing', 'dose', 'distributions', 'in', 'therapeutic', 'radiation', 'physics', 'using', 'a', 'jacobianbased', 'measure', 'the', 'measure', 'is', 'normalization', 'independent', 'free', 'of', 'tunable', 'parameters', 'bounded', 'and', 'converges', 'to', 'a', 'unique', 'value', 'when', 'comparing', 'unrelated', 'dose', 'distributions', 'we', 'present', 'a', 'preliminary', 'demonstration', 'of', 'the', 'sensitivity', 'and', 'general', 'characteristics', 'of', 'this', 'measure']] | [-0.027552069393250177, 0.1148099449797059, -0.14268780316068036, 0.06694168319820233, -0.05555909917742576, -0.12901271275191936, 0.07151084856727635, 0.39460447838283935, -0.24114314660008224, -0.28961176579853276, 0.04074595378874362, -0.29114542789054365, -0.06786287041767589, 0.2001226510817431, -0.09344363836395853, 0.07562382294321959, 0.04850025396829225, -0.010392476584902912, -0.08844595739863953, -0.12367045004272235, 0.32081618932304234, 0.09554097875249835, 0.3153563055543686, 0.06045397352602965, 0.16181643558051087, 0.005467110823066729, -0.0518019089457702, 0.04645976986525194, -0.1825943438046313, 0.10697410754279567, 0.19222101831000368, 0.1654377802293517, 0.288163652028537, -0.2977656164329569, -0.20108869489071504, 0.1352763578190275, 0.07215202945056108, 0.0692942712614137, -0.1128258790539683, -0.239077220829028, 0.06558681935739685, -0.12891879948822535, -0.17138443630680722, -0.07941298542614535, 0.00643021460481972, 0.06152301118269844, -0.3194662437616092, 0.045363660260402366, -0.043300264216256594, 0.08285992534585157, -0.11034493709316934, -0.1553591814151315, 0.07330821823539599, 0.14454271986845546, 0.018280435849930037, 0.07746604579623859, 0.17425926041982645, -0.13055513236443247, -0.1081053337679719, 0.3497455606131621, -0.09497066062681798, -0.22580024206633065, 0.15384770291945282, -0.14870897093612068, -0.10394870257883701, 0.11541436331452064, 0.174947944197382, 0.16929746367353596, -0.1941780380101299, 0.019340880256901793, -0.007501248024263472, 0.1777046032031374, 0.056931301547249534, -0.009141910420335337, 0.1896306103763153, 0.2071156151689378, 0.0647661099561824, 0.18848022120952043, -0.12102844022029906, -0.04340229654368365, -0.3506744743658687, -0.17860701301504137, -0.1854916772330707, 0.1114312163993435, -0.08441439480905175, -0.17150962922089505, 0.43817305691399666, 0.18902053247328918, 0.19454242956807027, 0.09125348547789848, 0.2613444964418996, 0.15327593919662935, -0.014599517315081408, 0.018610990702895062, 0.20964401633531418, 0.09534607528937313, 0.02524558564413005, -0.18088817573591787, 0.09085797724964202, -0.046555204175573] |
712.1076 | Field Tuned Superconductor to Insulator Transitions in an Amorphous Film
with an Imposed Multiply Connected Geometry | We have observed multiple magnetic field driven superconductor to insulator
transitions (SIT) in amorphous Bi films perforated with a nano-honeycomb (NHC)
array of holes. The period of the magneto-resistance, H=H_M=h/2eS where S is
the area of a unit cell of holes, indicates the field driven transitions are
boson dominated. The field-dependent resistance follows
R(T)=R_0(H)exp(T_0(H)/T) on both sides of the transition so that the evolution
between these states is controlled by the vanishing of T_0 to0. We compare our
results to the thickness driven transition in NHC films and the field driven
transitions in unpatterned Bi films, other materials, and Josephson junction
arrays. Our results suggest a structural source for similar behavior found in
some materials and that despite the clear bosonic nature of the SITs,
quasiparticle degrees of freedom likely also play an important part in the
evolution of the SIT.
| cond-mat.supr-con | we have observed multiple magnetic field driven superconductor to insulator transitions sit in amorphous bi films perforated with a nanohoneycomb nhc array of holes the period of the magnetoresistance hh_mh2es where s is the area of a unit cell of holes indicates the field driven transitions are boson dominated the fielddependent resistance follows rtr_0hexpt_0ht on both sides of the transition so that the evolution between these states is controlled by the vanishing of t_0 to0 we compare our results to the thickness driven transition in nhc films and the field driven transitions in unpatterned bi films other materials and josephson junction arrays our results suggest a structural source for similar behavior found in some materials and that despite the clear bosonic nature of the sits quasiparticle degrees of freedom likely also play an important part in the evolution of the sit | [['we', 'have', 'observed', 'multiple', 'magnetic', 'field', 'driven', 'superconductor', 'to', 'insulator', 'transitions', 'sit', 'in', 'amorphous', 'bi', 'films', 'perforated', 'with', 'a', 'nanohoneycomb', 'nhc', 'array', 'of', 'holes', 'the', 'period', 'of', 'the', 'magnetoresistance', 'hh_mh2es', 'where', 's', 'is', 'the', 'area', 'of', 'a', 'unit', 'cell', 'of', 'holes', 'indicates', 'the', 'field', 'driven', 'transitions', 'are', 'boson', 'dominated', 'the', 'fielddependent', 'resistance', 'follows', 'rtr_0hexpt_0ht', 'on', 'both', 'sides', 'of', 'the', 'transition', 'so', 'that', 'the', 'evolution', 'between', 'these', 'states', 'is', 'controlled', 'by', 'the', 'vanishing', 'of', 't_0', 'to0', 'we', 'compare', 'our', 'results', 'to', 'the', 'thickness', 'driven', 'transition', 'in', 'nhc', 'films', 'and', 'the', 'field', 'driven', 'transitions', 'in', 'unpatterned', 'bi', 'films', 'other', 'materials', 'and', 'josephson', 'junction', 'arrays', 'our', 'results', 'suggest', 'a', 'structural', 'source', 'for', 'similar', 'behavior', 'found', 'in', 'some', 'materials', 'and', 'that', 'despite', 'the', 'clear', 'bosonic', 'nature', 'of', 'the', 'sits', 'quasiparticle', 'degrees', 'of', 'freedom', 'likely', 'also', 'play', 'an', 'important', 'part', 'in', 'the', 'evolution', 'of', 'the', 'sit']] | [-0.19995962459218802, 0.21427510037991845, -0.024006439996012253, -0.004747045358723338, -0.006430368020937095, -0.1394591112185618, 0.06376135708067379, 0.37855750855674847, -0.23085768943675122, -0.27232464984990656, 0.03667779378308211, -0.3407790482633834, -0.14086196300231937, 0.18179748710177893, 0.013239098391194137, -0.018675524445347782, -0.040772654923523284, -0.04901864841620592, -0.0565884745237585, -0.19180272906187842, 0.32042435017957105, 0.015823763158681583, 0.31262219301257416, 0.04240116167297627, 0.027673242969200578, -0.06298288187052277, 0.09773896411023598, 0.06259225056969005, -0.15246751531675917, 0.03935803753523183, 0.2430585771531081, -0.07419666397660006, 0.1857944170495482, -0.4750428675010586, -0.2012064708254414, 0.01573128623405485, 0.13328945614722484, 0.09831201317284605, -0.09909160999772172, -0.2779583219344989, 0.0276775477339326, -0.09152249194574442, -0.1122709546445889, -0.018330214751160725, 0.020803429561972002, 0.006062841237180953, -0.23038932789458808, 0.07194671457069725, 0.08654986623433425, 0.08110906105327735, -0.08515503513794258, -0.12156007302172897, -0.08301517150612722, 0.09178801674543204, 0.06262811524508749, 0.05525732790823463, 0.17657038019702054, -0.13862871354874626, -0.0980502366349637, 0.31872189952154384, -0.06856694420893415, -0.07966735427143896, 0.17782057828743936, -0.20188735299844215, -0.07699323533330675, 0.1567811935758151, 0.10220301296669158, 0.1148685593050804, -0.10637383783410351, 0.078193613641691, 0.007024256623075377, 0.20428616089893759, 0.043675784641381006, 0.06464772676988739, 0.2958331615664065, 0.2128603334920548, 0.0010293773006942633, 0.16535449783835332, -0.10365602652301087, -0.09052884553914232, -0.2557938463098986, -0.18196776181605157, -0.196595271891854, 0.06297942021926162, -0.06691300191486459, -0.21394775812212619, 0.37189583196941256, 0.1470096747067643, 0.1901499706717449, -0.06229997755416917, 0.17123757595081834, 0.10573823539550221, 0.08173362927717784, 0.032546604665250875, 0.27849524506814144, 0.17743207089160737, 0.1477961022266113, -0.2759051091345898, 0.056841170629687444, -0.00956624752687786] |
712.1077 | Level Structure of 103Ag at high spins | High spin states in $^{103}$Ag were investigated with the Gammasphere array,
using the $^{72}$Ge($^{35}$Cl,$2p2n$)$^{103}$Ag reaction at an incident beam
energy of 135 MeV. A $\Delta J$=1 sequence with predominantly magnetic
transitions and two nearly-degenerate $\Delta J=1$ doublet bands have been
observed. The dipole band shows a decreasing trend in the $B(M1)$ strength as
function of spin, a well established feature of magnetic bands. The
nearly-degenerate band structures satisfy the three experimental signatures of
chirality in the nuclei; however microscopic calculations are indicative of a
magnetic phenomenon
| nucl-ex | high spin states in 103ag were investigated with the gammasphere array using the 72ge35cl2p2n103ag reaction at an incident beam energy of 135 mev a delta j1 sequence with predominantly magnetic transitions and two nearlydegenerate delta j1 doublet bands have been observed the dipole band shows a decreasing trend in the bm1 strength as function of spin a well established feature of magnetic bands the nearlydegenerate band structures satisfy the three experimental signatures of chirality in the nuclei however microscopic calculations are indicative of a magnetic phenomenon | [['high', 'spin', 'states', 'in', '103ag', 'were', 'investigated', 'with', 'the', 'gammasphere', 'array', 'using', 'the', '72ge35cl2p2n103ag', 'reaction', 'at', 'an', 'incident', 'beam', 'energy', 'of', '135', 'mev', 'a', 'delta', 'j1', 'sequence', 'with', 'predominantly', 'magnetic', 'transitions', 'and', 'two', 'nearlydegenerate', 'delta', 'j1', 'doublet', 'bands', 'have', 'been', 'observed', 'the', 'dipole', 'band', 'shows', 'a', 'decreasing', 'trend', 'in', 'the', 'bm1', 'strength', 'as', 'function', 'of', 'spin', 'a', 'well', 'established', 'feature', 'of', 'magnetic', 'bands', 'the', 'nearlydegenerate', 'band', 'structures', 'satisfy', 'the', 'three', 'experimental', 'signatures', 'of', 'chirality', 'in', 'the', 'nuclei', 'however', 'microscopic', 'calculations', 'are', 'indicative', 'of', 'a', 'magnetic', 'phenomenon']] | [-0.1790050018988993, 0.23957676259635177, 0.02208402837935691, 0.07546577287749165, 0.004633675940221153, -0.127446042728566, 0.04436154003460182, 0.44876063482037615, -0.2131898300057011, -0.36152401513286997, -0.02689527926295774, -0.322389840636225, -0.032579466744902585, 0.11538823608342293, 0.15557120958830983, -0.0070375832327131535, 0.002791761043703272, -0.020810731609041493, -0.06601890404930427, -0.08030767747134503, 0.28152753796339747, 0.02020057418745377, 0.26771679600434645, 0.09236147743095421, 0.04374188894317264, -0.0385980347388925, 0.07884868687307019, -0.04605833645023051, -0.10842944194363165, 0.009644326761536788, 0.23962992707744152, -0.05479541144034426, 0.1835977810301951, -0.3852314347667353, -0.16875881915690288, 0.06940613123810008, 0.15017148263065055, 0.1015817455814353, -0.0393756457294027, -0.295285969174334, 0.005244265554384107, -0.14494561056268312, -0.1514672828184086, -0.03625412640394643, 0.010051722871139646, 0.05585609864681915, -0.2739699630598937, 0.08264646278916016, 0.013678377539950557, 0.13870507321475348, -0.11634286627772131, -0.23525619094393083, -0.129597892593925, 0.04475392323053841, 0.08719061525715958, 0.06373028340922679, 0.11347886145536211, -0.09304569446526113, -0.13657734909793362, 0.35004429393891423, -0.08373251514110182, -0.0826489885032407, 0.13763485073910228, -0.20004146716867885, -0.141958048337117, 0.22462878231003525, 0.07464619169920861, 0.08565003659930967, -0.09580662304402462, 0.04509439104211716, 0.01417686003038571, 0.18450517618718246, 0.04823831362383706, 0.10104067601440918, 0.27121056784831343, 0.17692102409810537, 0.013885845222310829, 0.08924193321061986, -0.1982225373919521, -0.02537338098599797, -0.2340210022160872, -0.10113750029510508, -0.22516263661617858, 0.03193286940776965, -0.01942132606286794, -0.12401296628550404, 0.44144160482322886, 0.013724435536590005, 0.22321992963164425, -0.04707596380363351, 0.21660070671212106, 0.1193528604302888, 0.08918642920685843, 0.02628394589936804, 0.33311308918166016, 0.2207468188301261, 0.12021180488989644, -0.2711746557837441, 0.011772168545229804, -0.048798713234386275] |
712.1078 | Representation theory of liftings of quantum planes | We systematically determine the regular representations, quivers and
representation type of all liftings of two-dimensional quantum linear spaces.
| math.QA math.RT | we systematically determine the regular representations quivers and representation type of all liftings of twodimensional quantum linear spaces | [['we', 'systematically', 'determine', 'the', 'regular', 'representations', 'quivers', 'and', 'representation', 'type', 'of', 'all', 'liftings', 'of', 'twodimensional', 'quantum', 'linear', 'spaces']] | [-0.09393761545005772, 0.11944736447185278, -0.027045988529506657, 0.14545406851296624, -0.106197432278552, -0.13172277187307677, -0.03016269482516994, 0.35813411532176864, -0.41951780021190643, -0.1292895655044251, 0.08802183435505463, -0.24186910026603275, -0.2239880222413275, 0.1531106730302175, -0.11402188117305438, 0.05591564687589804, 0.013579029589891434, 0.07774060550663206, -0.2365450953754286, -0.34282547587321865, 0.46298743163545925, -0.08447270817770106, 0.27498197100228733, -0.07783924001786444, 0.09175283109976186, 0.07930365186702046, -0.06352390266127056, -0.02203333895239565, -0.1987068297651907, 0.2169724618110599, 0.34924297055436504, 0.02575502500662373, 0.130532291601412, -0.34891894997821915, -0.1607112550700549, 0.21851039201849037, 0.1436781292108612, 0.1303425486225428, 0.002338457904342148, -0.2892569584978951, 0.08067046359388365, -0.22708704053527778, -0.14150318234331077, -0.15703984132657448, 0.06256809168391758, 0.027878714104493458, -0.22072978059036863, -0.0690020758451687, 0.0936944056302309, 0.14574755267757508, -0.1805123161110613, -0.06583647843864229, -0.04819197580218315, 0.14983394178044465, -0.17991324131273562, -0.046305068794430956, 0.04779065829805202, -0.14594951189226574, -0.17772578893022406, 0.3345520096934504, 0.013728414713922475, -0.26561782757441205, 0.19228674616250727, -0.17279336591147715, -0.17675196062514764, 0.04742909429801835, 0.1223974112007353, 0.1459738623557819, -0.049539278675284654, 0.20641595900977133, -0.09734963646365537, 0.038655838482857995, 0.11048233540107806, 0.09112823623905165, 0.19792306624973813, 0.07108794763270351, 0.009900482216229042, 0.15033070339510837, -0.010533769097593095, -0.06283106006513764, -0.31055471911612487, -0.16573454222331443, -0.05860809174029984, 0.06132502276967797, -0.15174598937462885, -0.23471641923404402, 0.45869092601868844, 0.033054850374658905, 0.15076265282308063, 0.18304909812286496, 0.1024526906096273, 0.0829764897417691, 0.08634972882767518, 0.05693504180655711, 0.1209657590629326, 0.2597438258429368, -0.050232593487534255, -0.17156967800110579, -0.08100631487711023, 0.30868297732538647] |
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