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712.1979 | Quantum Error Correcting Codes Using Qudit Graph States | Graph states are generalized from qubits to collections of $n$ qudits of
arbitrary dimension $D$, and simple graphical methods are used to construct
both additive and nonadditive quantum error correcting codes. Codes of distance
2 saturating the quantum Singleton bound for arbitrarily large $n$ and $D$ are
constructed using simple graphs, except when $n$ is odd and $D$ is even.
Computer searches have produced a number of codes with distances 3 and 4, some
previously known and some new. The concept of a stabilizer is extended to
general $D$, and shown to provide a dual representation of an additive graph
code.
| quant-ph | graph states are generalized from qubits to collections of n qudits of arbitrary dimension d and simple graphical methods are used to construct both additive and nonadditive quantum error correcting codes codes of distance 2 saturating the quantum singleton bound for arbitrarily large n and d are constructed using simple graphs except when n is odd and d is even computer searches have produced a number of codes with distances 3 and 4 some previously known and some new the concept of a stabilizer is extended to general d and shown to provide a dual representation of an additive graph code | [['graph', 'states', 'are', 'generalized', 'from', 'qubits', 'to', 'collections', 'of', 'n', 'qudits', 'of', 'arbitrary', 'dimension', 'd', 'and', 'simple', 'graphical', 'methods', 'are', 'used', 'to', 'construct', 'both', 'additive', 'and', 'nonadditive', 'quantum', 'error', 'correcting', 'codes', 'codes', 'of', 'distance', '2', 'saturating', 'the', 'quantum', 'singleton', 'bound', 'for', 'arbitrarily', 'large', 'n', 'and', 'd', 'are', 'constructed', 'using', 'simple', 'graphs', 'except', 'when', 'n', 'is', 'odd', 'and', 'd', 'is', 'even', 'computer', 'searches', 'have', 'produced', 'a', 'number', 'of', 'codes', 'with', 'distances', '3', 'and', '4', 'some', 'previously', 'known', 'and', 'some', 'new', 'the', 'concept', 'of', 'a', 'stabilizer', 'is', 'extended', 'to', 'general', 'd', 'and', 'shown', 'to', 'provide', 'a', 'dual', 'representation', 'of', 'an', 'additive', 'graph', 'code']] | [-0.15595660415722407, 0.17335769352125635, -0.041582142535394225, 0.10206856489951473, -0.01994724800847102, -0.3052447536812708, 0.000784035204992731, 0.3342699344445131, -0.2552796559187003, -0.32875158765012086, 0.08946435077872017, -0.26941421717442204, -0.1338865222930355, 0.19751613876911453, -0.07046238601837067, 0.11110392248829698, 0.06881756694194409, 0.0999017146091544, -0.0705271199239547, -0.33841036133166164, 0.2890868133561003, 0.03395879827555048, 0.16586581824951355, 0.01313120428251453, 0.06402800986912138, 0.006455661341695502, -0.04769522328814953, 0.041628136253445455, -0.13335771852698508, 0.1566478397926583, 0.2772484927848535, 0.1521891849507384, 0.1925393616029126, -0.36722644811293276, -0.19728531804636562, 0.135443573007314, 0.1221259110699417, 0.18862260335429323, 0.002556455519861809, -0.24206995562244538, 0.14530676876835635, -0.18865491158448824, -0.07179579550013093, -0.06341345137155771, 0.1048796184333318, -0.014061214854147765, -0.3232529622936013, -0.03155815524353397, 0.10102742903757526, 0.09102045080513868, 0.03898162798181471, -0.19237977730935568, 0.030004009369318144, 0.12381947564570887, -0.0830073312621121, 0.07010749010784127, 0.03743203591997966, -0.08210844060954739, -0.16719164079202725, 0.3349556937251277, -0.018505953266147044, -0.2349501046038574, 0.19160801164764393, -0.08788801730601209, -0.09966250271121464, 0.11243112571537495, 0.1792484462390294, 0.11798767238800036, -0.08728584947625272, 0.1709407945077101, -0.050787926467117106, 0.16305162223738315, 0.10107040196417434, 0.10776493640093243, 0.1102788076726812, 0.05540999229582451, 0.052487779567755834, 0.18065419003810032, -0.06438160507414158, -0.04823307486453859, -0.3037845747692898, -0.12468613400804063, -0.23228161424250887, 0.08519493362354576, -0.14803220625718397, -0.180431961359417, 0.32235365005966166, 0.04249320150293078, 0.16773947800445085, 0.12718225800718116, 0.20876777036078642, 0.03103685934133459, 0.06332791693702267, 0.1956960333858174, 0.11504435522013833, 0.2136400783351521, -0.07355994647276579, -0.1374323966360817, 0.02208695506520274, 0.0945642104851875] |
712.198 | Symmetry Breaking in Six Dimensional Flux Compactification Scenarios | Motivated by the electroweak hierarchy problem, we consider theories with two
extra dimensions in which the four-dimensional scalar fields are components of
gauge boson in full space, namely the Gauge-Higgs unification framework. We
briefly explain the basics features of "flux compactification", i.e.
compactification in presence of a background (magnetic) flux. In particular we
recall how chirality and symmetry breaking can be obtained in this context.
More in details, we find and catalogue all possible degenerate zero-energy
stable configurations in the case of trivial or non-trivial 't Hooft flux, for
a SU(N) gauge theory on a torus. We describe the residual symmetries of each
vacua and the four-dimensional effective spectrum in terms of continuous and
discrete parameters, respectively.
| hep-ph | motivated by the electroweak hierarchy problem we consider theories with two extra dimensions in which the fourdimensional scalar fields are components of gauge boson in full space namely the gaugehiggs unification framework we briefly explain the basics features of flux compactification ie compactification in presence of a background magnetic flux in particular we recall how chirality and symmetry breaking can be obtained in this context more in details we find and catalogue all possible degenerate zeroenergy stable configurations in the case of trivial or nontrivial t hooft flux for a sun gauge theory on a torus we describe the residual symmetries of each vacua and the fourdimensional effective spectrum in terms of continuous and discrete parameters respectively | [['motivated', 'by', 'the', 'electroweak', 'hierarchy', 'problem', 'we', 'consider', 'theories', 'with', 'two', 'extra', 'dimensions', 'in', 'which', 'the', 'fourdimensional', 'scalar', 'fields', 'are', 'components', 'of', 'gauge', 'boson', 'in', 'full', 'space', 'namely', 'the', 'gaugehiggs', 'unification', 'framework', 'we', 'briefly', 'explain', 'the', 'basics', 'features', 'of', 'flux', 'compactification', 'ie', 'compactification', 'in', 'presence', 'of', 'a', 'background', 'magnetic', 'flux', 'in', 'particular', 'we', 'recall', 'how', 'chirality', 'and', 'symmetry', 'breaking', 'can', 'be', 'obtained', 'in', 'this', 'context', 'more', 'in', 'details', 'we', 'find', 'and', 'catalogue', 'all', 'possible', 'degenerate', 'zeroenergy', 'stable', 'configurations', 'in', 'the', 'case', 'of', 'trivial', 'or', 'nontrivial', 't', 'hooft', 'flux', 'for', 'a', 'sun', 'gauge', 'theory', 'on', 'a', 'torus', 'we', 'describe', 'the', 'residual', 'symmetries', 'of', 'each', 'vacua', 'and', 'the', 'fourdimensional', 'effective', 'spectrum', 'in', 'terms', 'of', 'continuous', 'and', 'discrete', 'parameters', 'respectively']] | [-0.16233734102247077, 0.21286046916507503, -0.012565501696558502, 0.12731520828699422, -0.07801523584371003, -0.12270357354462513, 0.011921770666710014, 0.3560654010591853, -0.18679622226418593, -0.2875331549220679, 0.08117250535780421, -0.21274224707347333, -0.13911380650849742, 0.09234973107480532, -0.05672371175645604, -0.0024894215096918563, -0.020702558774580687, 0.03935909032041573, -0.10928590305529647, -0.26501446504854304, 0.36420954573246783, -0.006331250795887576, 0.2572902563609119, 0.037253360226193175, 0.10089202862806045, -0.017501739215933614, -0.015053484336130766, 0.004427085292045998, -0.10517078360073014, 0.09446809232199135, 0.19416884676370227, 0.04164168313862039, 0.10862202557106303, -0.41322214687322706, -0.23223655049999556, 0.12409888435171074, 0.16153202008885834, 0.12911176413564313, -0.011833278318637242, -0.2955581273895521, 0.06253396041699263, -0.16692491343770272, -0.15243792932472613, -0.09781138214449851, -0.013042712273697058, -0.09840350745983018, -0.25271196782979, 0.06779653182861188, 0.02163225981211847, 0.07163379764041075, -0.07426842386360702, -0.059752344969723724, -0.08517799200092116, 0.04754161900585979, 0.1376332281441945, 0.01244370685890317, 0.09314636709506854, -0.2013672760182307, -0.15802111662426788, 0.40371452652427375, -0.09358290570557244, -0.2171423759422878, 0.14099449340381429, -0.14315655611905181, -0.2176122148421744, 0.0922185795294105, 0.13360129069123003, 0.1394732322297099, -0.08765533690651257, 0.22014530501169208, -0.045727682104891434, 0.13487095907469812, 0.07124224960461704, 0.06046923552838783, 0.26758191471075654, 0.12553891696983105, 0.06590289736118587, 0.1235522938062413, -0.05274111886994324, -0.1165226751099675, -0.4288692608093604, -0.12200819403450522, -0.0970921017951929, 0.07839908271741408, -0.09767657539331649, -0.13655227659176636, 0.4305534254974471, 0.13400637219524664, 0.21978159688620102, 0.004583713139604347, 0.21866182933569464, 0.08324690375668116, 0.04376068816353113, 0.05617263748879648, 0.237630274405496, 0.14147323829571629, 0.07421543141508587, -0.2265004235614314, -0.13299127722270468, 0.14827299994440415] |
712.1981 | Seismological studies of ZZ Ceti stars. I. The model grid and the
application to individual stars | We calculate and explore an extensive adiabatic model grid for pulsating
white dwarfs with H dominated atmospheres, the ZZ Ceti stars. We also compared
the computed modes with the observed ones for five ZZ Ceti stars that are a
representative sample of the whole class of pulsators. We describe our new
approach for seismological studies, using the relative observed amplitudes to
give weights for the periods in the fit and the external mass and temperature
determinations as a guide. Our seismological study is clear evidence that
seismology is indeed a powerful tool in the study of stellar structure and
evolution.
| astro-ph | we calculate and explore an extensive adiabatic model grid for pulsating white dwarfs with h dominated atmospheres the zz ceti stars we also compared the computed modes with the observed ones for five zz ceti stars that are a representative sample of the whole class of pulsators we describe our new approach for seismological studies using the relative observed amplitudes to give weights for the periods in the fit and the external mass and temperature determinations as a guide our seismological study is clear evidence that seismology is indeed a powerful tool in the study of stellar structure and evolution | [['we', 'calculate', 'and', 'explore', 'an', 'extensive', 'adiabatic', 'model', 'grid', 'for', 'pulsating', 'white', 'dwarfs', 'with', 'h', 'dominated', 'atmospheres', 'the', 'zz', 'ceti', 'stars', 'we', 'also', 'compared', 'the', 'computed', 'modes', 'with', 'the', 'observed', 'ones', 'for', 'five', 'zz', 'ceti', 'stars', 'that', 'are', 'a', 'representative', 'sample', 'of', 'the', 'whole', 'class', 'of', 'pulsators', 'we', 'describe', 'our', 'new', 'approach', 'for', 'seismological', 'studies', 'using', 'the', 'relative', 'observed', 'amplitudes', 'to', 'give', 'weights', 'for', 'the', 'periods', 'in', 'the', 'fit', 'and', 'the', 'external', 'mass', 'and', 'temperature', 'determinations', 'as', 'a', 'guide', 'our', 'seismological', 'study', 'is', 'clear', 'evidence', 'that', 'seismology', 'is', 'indeed', 'a', 'powerful', 'tool', 'in', 'the', 'study', 'of', 'stellar', 'structure', 'and', 'evolution']] | [-0.031190645936876534, 0.13821433564313337, -0.07493630562210456, 0.12357160436687992, -0.11534036429133267, -0.06889105374459177, 0.10098469479009509, 0.38283051319420336, -0.16348691123741446, -0.3270180273335427, 0.06384961477480829, -0.2726998582170927, -0.10394930005073548, 0.27102388959436213, -0.012611135323531926, 0.006147517228964716, 0.16095324140973388, -0.01152741413039621, -0.02255477523431182, -0.21738203755347058, 0.28271296188700945, 0.0264726635068655, 0.16043970365542917, -0.08206869058310985, -0.03527983387961285, -0.07584883362986147, -0.1306870599836111, -0.04269300397485495, -0.2196114411992312, 0.015651702317409217, 0.21219570545013994, 0.10238021089375252, 0.17915843800408765, -0.3415728493496863, -0.23295388684142382, 0.05411399812437594, 0.16836659398861228, 0.06399745634756983, -0.06318019895814359, -0.23067644325084985, 0.10693586618639529, -0.15874631297774613, -0.16753717746585609, -0.07212467033416033, 0.07243525014724582, -0.0029030996980145573, -0.30819641818816307, 0.04207694703916786, 0.06776100837894773, 0.12541153533384203, -0.1340751299308613, -0.15039084284100682, -0.06325620190473273, 0.1141044159559533, 0.04953702177270316, 0.0378312462172471, 0.07472845108713955, -0.11193711749278008, -0.09199867241084575, 0.38880677909881345, -0.15623822254594416, -0.08079268808127381, 0.22767205237643792, -0.15803046172950416, -0.1648057912522927, 0.06196271738037467, 0.19304246572777628, 0.15759123825933785, -0.17658673941215966, 0.02949993876507506, -0.006356925573199988, 0.1516019782074727, 0.021787032738793642, 0.024483551263110713, 0.2759941091388464, 0.18844064357224852, -0.019661667491309345, 0.12464573862962425, -0.21361226349603385, -0.05852480328641832, -0.2779967472329736, -0.1488788571022451, -0.09763128762133419, 0.019407464284449817, -0.10446377891988959, -0.19929250920074992, 0.4110349682485685, 0.1390788487275131, 0.19399009651504456, 0.030846378463320435, 0.28623527035117147, 0.1280344171647448, 0.08286962109617889, 0.11744141413830221, 0.29995824872050436, 0.22702218573074787, 0.08291180614032782, -0.25601411108858885, 0.04876403499860316, 0.008786773360334336] |
712.1982 | Low mass dilepton radiation at RHIC | In this work we discuss the emission of low mass dilepton radiation from a
hydrodynamic evolution model of Au-Au collisions and make comparisons with
recent PHENIX measurements. The dilepton emission rates from the hadronic phase
are treated at finite temperature and baryon density and are completely
constrained by broken chiral symmetry in a density expansion. The rates are
expressed in terms of vacuum correlators which are measured in $e^+e^-$
annihilation, $\tau$ decays and photo-reactions on nucleons and nuclei. We
consider two possibilities for the hadronic phase: A chemical equilibrated an
off equilibrium hadronic gas. We find that while chemical off-equilibrium helps
explain part of the low mass (0.15 $\leq$ M GeV $\leq$ 0.7) enhancement seen in
the data there is still a large discrepancy.
| nucl-th | in this work we discuss the emission of low mass dilepton radiation from a hydrodynamic evolution model of auau collisions and make comparisons with recent phenix measurements the dilepton emission rates from the hadronic phase are treated at finite temperature and baryon density and are completely constrained by broken chiral symmetry in a density expansion the rates are expressed in terms of vacuum correlators which are measured in ee annihilation tau decays and photoreactions on nucleons and nuclei we consider two possibilities for the hadronic phase a chemical equilibrated an off equilibrium hadronic gas we find that while chemical offequilibrium helps explain part of the low mass 015 leq m gev leq 07 enhancement seen in the data there is still a large discrepancy | [['in', 'this', 'work', 'we', 'discuss', 'the', 'emission', 'of', 'low', 'mass', 'dilepton', 'radiation', 'from', 'a', 'hydrodynamic', 'evolution', 'model', 'of', 'auau', 'collisions', 'and', 'make', 'comparisons', 'with', 'recent', 'phenix', 'measurements', 'the', 'dilepton', 'emission', 'rates', 'from', 'the', 'hadronic', 'phase', 'are', 'treated', 'at', 'finite', 'temperature', 'and', 'baryon', 'density', 'and', 'are', 'completely', 'constrained', 'by', 'broken', 'chiral', 'symmetry', 'in', 'a', 'density', 'expansion', 'the', 'rates', 'are', 'expressed', 'in', 'terms', 'of', 'vacuum', 'correlators', 'which', 'are', 'measured', 'in', 'ee', 'annihilation', 'tau', 'decays', 'and', 'photoreactions', 'on', 'nucleons', 'and', 'nuclei', 'we', 'consider', 'two', 'possibilities', 'for', 'the', 'hadronic', 'phase', 'a', 'chemical', 'equilibrated', 'an', 'off', 'equilibrium', 'hadronic', 'gas', 'we', 'find', 'that', 'while', 'chemical', 'offequilibrium', 'helps', 'explain', 'part', 'of', 'the', 'low', 'mass', '015', 'leq', 'm', 'gev', 'leq', '07', 'enhancement', 'seen', 'in', 'the', 'data', 'there', 'is', 'still', 'a', 'large', 'discrepancy']] | [-0.09902801079865199, 0.2727196036976238, -0.09766936869991402, 0.11140229428307183, 0.031628416847407574, -0.08514934437229268, 0.013650134706216293, 0.35601556038994703, -0.20411789550581166, -0.2848641614039098, -0.009684650341026304, -0.3365413686035261, 0.052517471354334586, 0.10401865223708052, 0.06086898384796035, 0.0392341586055174, 0.04422546281749683, -0.012578292494459499, -0.1048122065276989, -0.17108729766539088, 0.2910579016296974, 0.049032740606625956, 0.20669778764262917, 0.14651700250068378, 0.03732837304367774, -0.0485718684541362, -0.04628458008125064, -0.018488848168823506, -0.15752861689760456, -0.004897845024853239, 0.2528457287698984, 0.0485862510132363, 0.11272311577152822, -0.37732125377477777, -0.17500896765399845, 0.15251176488105087, 0.1732517843314957, 0.08654512174806799, -0.11566215377177051, -0.23970632315538223, 0.0678952396039911, -0.233729116051578, -0.13659889749326412, -0.05479316755137857, -0.007534613210854361, -0.018634921755179792, -0.2976429314097209, 0.17182664894649097, -0.030884072911219612, 0.05125819855640011, -0.05433350776682698, -0.17989497052340378, -0.0555044591704744, 0.030905507940558657, 0.08040402259024221, 0.07801620813927823, 0.18970655245920492, -0.1632989771887585, -0.08095462928289518, 0.40081271653874745, -0.061917512775248575, -0.09712658599469691, 0.18147246650750598, -0.22360678906026746, -0.17050655167399636, 0.18154953323802706, 0.19457370075847832, 0.09936705446096077, -0.19103477782599868, 0.09991658823151563, 0.007676436143341444, 0.16151682845778734, 0.07226125635356913, 0.0625987686291938, 0.255393965965918, 0.1691869776536365, -0.035001035986257895, 0.08148173267498703, -0.09875000035578024, -0.06020513150630699, -0.3528917768065097, -0.08209288111256977, -0.1409915747691787, 0.0861000952784032, -0.07824806842683991, -0.06127285015498919, 0.3307056687171421, 0.09152314063507103, 0.2953891321930343, 0.02728965218392982, 0.3230591205947642, 0.11119964891470098, 0.028342994410664804, 0.10770324522238825, 0.3011248533899385, 0.17917381806745974, 0.15518583107041195, -0.2884052268646267, 0.034020887181771195, 0.032244535617440215] |
712.1983 | RZ Cassiopeia: Eclipsing Binary with Pulsating Component | We report time-resolved VR-band CCD photometry of the eclipsing binary RZ Cas
obtained with 38-cm Cassegrain telescope at the Crimean Astrophysical
Observatory during July 2004 - October 2005. Obtained lightcurves clearly
demonstrates rapid pulsations with the period about 22 minutes. Periodogram
analysis of such oscillations also is reported. On the 12, January, 2005 we
observed rapid variability with higher amplitude (~0.^m 1) that, perhaps, may
be interpreted as high-mass-transfer-rate event and inhomogeneity of accretion
stream. Follow-up observations (both, photometric and spectroscopic) of RZ Cas
are strictly desirable for more detailed study of such event.
| astro-ph | we report timeresolved vrband ccd photometry of the eclipsing binary rz cas obtained with 38cm cassegrain telescope at the crimean astrophysical observatory during july 2004 october 2005 obtained lightcurves clearly demonstrates rapid pulsations with the period about 22 minutes periodogram analysis of such oscillations also is reported on the 12 january 2005 we observed rapid variability with higher amplitude 0m 1 that perhaps may be interpreted as highmasstransferrate event and inhomogeneity of accretion stream followup observations both photometric and spectroscopic of rz cas are strictly desirable for more detailed study of such event | [['we', 'report', 'timeresolved', 'vrband', 'ccd', 'photometry', 'of', 'the', 'eclipsing', 'binary', 'rz', 'cas', 'obtained', 'with', '38cm', 'cassegrain', 'telescope', 'at', 'the', 'crimean', 'astrophysical', 'observatory', 'during', 'july', '2004', 'october', '2005', 'obtained', 'lightcurves', 'clearly', 'demonstrates', 'rapid', 'pulsations', 'with', 'the', 'period', 'about', '22', 'minutes', 'periodogram', 'analysis', 'of', 'such', 'oscillations', 'also', 'is', 'reported', 'on', 'the', '12', 'january', '2005', 'we', 'observed', 'rapid', 'variability', 'with', 'higher', 'amplitude', '0m', '1', 'that', 'perhaps', 'may', 'be', 'interpreted', 'as', 'highmasstransferrate', 'event', 'and', 'inhomogeneity', 'of', 'accretion', 'stream', 'followup', 'observations', 'both', 'photometric', 'and', 'spectroscopic', 'of', 'rz', 'cas', 'are', 'strictly', 'desirable', 'for', 'more', 'detailed', 'study', 'of', 'such', 'event']] | [-0.10911155009135645, 0.11510953312524809, -0.09983315430121026, 0.08622251288929525, -0.13967667193571617, -0.12656841857952403, 0.06192010682035279, 0.41463482916191385, -0.1477736548986286, -0.4190492698165414, 0.16703261761506508, -0.33525841775258164, -0.12523467130549662, 0.29808332417979017, -0.09964376400419317, 0.006385456565972213, 0.22908765145137414, -0.1085115852407538, -0.02098988383179428, -0.27655293774064427, 0.16554759703781252, 0.132620471770169, 0.1273629784399828, -0.10974395602614015, 0.07602602293059885, -0.0036779008527506388, -0.14766491944601012, -0.09482526240849888, -0.12843084309413547, -0.04126234475400422, 0.2502686839018549, 0.1511910214999711, 0.14129091380675743, -0.34008145600475453, -0.2000267920749528, 0.01876676022996205, 0.12869119293639783, -0.05565274593095387, -0.010710680731450678, -0.3104538597117925, 0.022356377842907723, -0.19604550601894055, -0.14806245005392765, 0.03808654433085614, 0.13569989402850086, 0.04320261301600712, -0.20034675306261895, 0.12476680198253215, 0.0014242766588762566, 0.21963359626358028, -0.15228426939511036, -0.10440486816402811, -0.06338840401808189, 0.06477994929262243, 0.02795355841466277, 0.1049945477861911, 0.059410998751255835, -0.01287883260174767, -0.0975535174340501, 0.3134868525091436, -0.08520028243035815, 0.11738979771405786, 0.1915635916987782, -0.2531005327466998, -0.22798051216363252, 0.1554923521170577, 0.17380992001290996, 0.12443296247735046, -0.12677429984374852, -0.023007635207549965, 0.010303696090416922, 0.2698550641864211, 0.09807330282445956, 0.05199250981088851, 0.2813855455727777, 0.11545199226856022, -0.036524147974777516, 0.06856723834253889, -0.34145354798606053, -0.02348935525802957, -0.2488083125470759, -0.07516870120601667, -0.09727048953729016, 0.11199742512250381, -0.08666753669104355, -0.1088011612972388, 0.3770673016270438, 0.05707399087195581, 0.13836079025078196, -0.02021271641529933, 0.22159235119041834, 0.09879344120330004, 0.020328302790473502, 0.08974369718171246, 0.3577436395398863, 0.09452842553606727, 0.22867180667510564, -0.1882426758798269, 0.057153103269309134, 0.014543385531466741] |
712.1984 | Applications of the Characteristic Theory to the Madelung-de
Broglie-Bohm System of Partial Differential Equations: The Guiding Equation
as the Characteristic Velocity | First, we use the theory of characteristics of first order partial
differential equations to derive the guiding equation directly from the Quantum
Evolution Equation (QEE). After obtaining the general result, we apply it to a
set of evolution equations (Schroedinger, Pauli, Klein-Gordon, Dirac) to show
how the guiding equation is, actually, the characteristic velocity of the
corresponding matter field equations.
| quant-ph | first we use the theory of characteristics of first order partial differential equations to derive the guiding equation directly from the quantum evolution equation qee after obtaining the general result we apply it to a set of evolution equations schroedinger pauli kleingordon dirac to show how the guiding equation is actually the characteristic velocity of the corresponding matter field equations | [['first', 'we', 'use', 'the', 'theory', 'of', 'characteristics', 'of', 'first', 'order', 'partial', 'differential', 'equations', 'to', 'derive', 'the', 'guiding', 'equation', 'directly', 'from', 'the', 'quantum', 'evolution', 'equation', 'qee', 'after', 'obtaining', 'the', 'general', 'result', 'we', 'apply', 'it', 'to', 'a', 'set', 'of', 'evolution', 'equations', 'schroedinger', 'pauli', 'kleingordon', 'dirac', 'to', 'show', 'how', 'the', 'guiding', 'equation', 'is', 'actually', 'the', 'characteristic', 'velocity', 'of', 'the', 'corresponding', 'matter', 'field', 'equations']] | [-0.10744897551613591, 0.08172793488089247, -0.14274565057860591, 0.06677988125603267, -0.16238599967495618, -0.0696371509693563, -0.03806832045813928, 0.23682622501026776, -0.31807235580616455, -0.29083037948614715, 0.02883510181869743, -0.2759516966071422, -0.17823015159722103, 0.1798064601726009, 0.03680961640646397, 0.09393959846031869, 0.039292267421102624, 0.08137410323498613, -0.13675876852061788, -0.2630636985492656, 0.4044077691337946, -0.041190217227390885, 0.23478222199542037, -0.018728062956420294, 0.17120493105533768, 0.006553183278163611, 0.02474273056170698, -0.014121385638491583, -0.16670232637138185, 0.06861938234671193, 0.19281072232682825, 0.09270481921543004, 0.25492541680617603, -0.4525381554296966, -0.22340471540593496, 0.015476291817691872, 0.13057467453497446, 0.22641927783645815, -0.03808541479915128, -0.33682963211026234, 0.04230036479184183, -0.12058650485192568, -0.2523651892335107, -0.051469063354750814, 0.01297870445088878, 0.03382748498589242, -0.21125407569244567, 0.12194467645327924, 0.03835674869370157, -0.04242148256260839, -0.1483095454967628, -0.05465820100813536, -0.03460679962141913, 0.08231238216572141, 0.003729565341372864, -0.039968631064550855, 0.06764941307384584, -0.12863034300379833, -0.06355018642241672, 0.43225632734217884, -0.12187413146158964, -0.2576672658008539, 0.08053448232743195, -0.17050973763215846, -0.09308541937084017, 0.11610736423250982, 0.18733602515974287, 0.15126895342590446, -0.20476821477730142, 0.09951908374994488, -0.028067477211214095, 0.14032199257448064, 0.05616848510137554, -0.01953955037594315, 0.14022708912301113, 0.10193341175662511, 0.07404984304902412, 0.08842908715734542, -0.017715557620434436, -0.14977140006040995, -0.3929436244701935, -0.19541015509926415, -0.12783122867724653, 0.15948451517181375, -0.0650793203311554, -0.1516929236043371, 0.3791353490708743, 0.21674325784384194, 0.12755613815102537, 0.027685401898066876, 0.2507607428577997, 0.2811881521407424, -0.006650195772743831, 0.0603026028335789, 0.2080405600432117, 0.27468965421983244, 0.15482298905124603, -0.29708285472292645, -0.04013824816477501, 0.1456558937917195] |
712.1985 | The G-dwarf problem in the Galaxy | The empirical differential metallicity distribution (EDMD) is deduced for (i)
local thick disk stars; (ii) likely metal-weak thick disk stars; (iii)
chemically selected local G dwarfs, with the corrections performed in order to
take into account the stellar scale height; in addition to previous results
related to (iv) solar neighbourhood halo subdwarfs; and (v) K-giant bulge
stars. The thick disk is conceived as made of two distinct regions: the
halo-like and the bulge-like thick disk, and the related EDMD is deduced. Under
the assumption that each distribution is typical for the corresponding
subsystem, the EDMD of the thick disk, the thick + thin disk, and the Galaxy,
is determined by weighting the mass. Models of chemical evolution are computed
for each subsystem assuming the instantaneous recycling approximation. The EDMD
data are reasonably fitted by simple models implying both homogeneous and
inhomogeneous star formation, provided that star formation is inhibited during
thick disk evolution. The initial mass function (IMF) is assumed to be a
universal power law, which implies an unchanged true yield in different
subsystems. The theoretical differential metallicity distribution (TDMD) is
first determined for the halo-like thich disk, the bulge-like thick disk, and
the thin disk separately, and then for the Galaxy by weighting the mass. An
indicative comparison is performed between the EDMD deduced for the disk both
in presence and in absence of [O/Fe] plateau, and its counterpart computed for
(vi) nearby stars for which the oxygen abundance has been determined both in
presence and in absence of the local thermodynamical equilibrium (LTE)
approximation. Both distributions are found to exhibit a similar trend, though
systematic differences exist.
| astro-ph | the empirical differential metallicity distribution edmd is deduced for i local thick disk stars ii likely metalweak thick disk stars iii chemically selected local g dwarfs with the corrections performed in order to take into account the stellar scale height in addition to previous results related to iv solar neighbourhood halo subdwarfs and v kgiant bulge stars the thick disk is conceived as made of two distinct regions the halolike and the bulgelike thick disk and the related edmd is deduced under the assumption that each distribution is typical for the corresponding subsystem the edmd of the thick disk the thick thin disk and the galaxy is determined by weighting the mass models of chemical evolution are computed for each subsystem assuming the instantaneous recycling approximation the edmd data are reasonably fitted by simple models implying both homogeneous and inhomogeneous star formation provided that star formation is inhibited during thick disk evolution the initial mass function imf is assumed to be a universal power law which implies an unchanged true yield in different subsystems the theoretical differential metallicity distribution tdmd is first determined for the halolike thich disk the bulgelike thick disk and the thin disk separately and then for the galaxy by weighting the mass an indicative comparison is performed between the edmd deduced for the disk both in presence and in absence of ofe plateau and its counterpart computed for vi nearby stars for which the oxygen abundance has been determined both in presence and in absence of the local thermodynamical equilibrium lte approximation both distributions are found to exhibit a similar trend though systematic differences exist | [['the', 'empirical', 'differential', 'metallicity', 'distribution', 'edmd', 'is', 'deduced', 'for', 'i', 'local', 'thick', 'disk', 'stars', 'ii', 'likely', 'metalweak', 'thick', 'disk', 'stars', 'iii', 'chemically', 'selected', 'local', 'g', 'dwarfs', 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'has', 'been', 'determined', 'both', 'in', 'presence', 'and', 'in', 'absence', 'of', 'the', 'local', 'thermodynamical', 'equilibrium', 'lte', 'approximation', 'both', 'distributions', 'are', 'found', 'to', 'exhibit', 'a', 'similar', 'trend', 'though', 'systematic', 'differences', 'exist']] | [-0.049983556587388046, 0.08159720802685305, -0.06903974802420933, 0.11110544232295395, -0.04862131931647005, -0.08085170169899573, -0.0046453294413748075, 0.41662160702981055, -0.23590681251180148, -0.3185416641332376, 0.04635380091164747, -0.2290304831651373, 0.012221673289800424, 0.17082436852949434, -0.03752955061612901, -0.0024707227067434605, 0.019783084030582834, -0.07797339850160946, -0.053363622305219745, -0.2329235505833944, 0.34192395937775, 0.041147048739758114, 0.17286232935434986, -0.05691582268323756, 0.02249418896337999, -0.10877342909333859, -0.05418580639308124, 0.010047239579830263, -0.1660425012939155, 0.03137392527076291, 0.20588011157285938, 0.0855575113473877, 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712.1986 | Three-body decays of sleptons in models with non-universal Higgs masses | We compute the three-body decays of charged sleptons and sneutrinos into
other sleptons. These decays are of particular interest in SUSY-breaking models
with non-universal Higgs mass parameters, where the left-chiral sleptons can be
lighter than the right-chiral ones, and lighter than the lightest neutralino.
We present the formulas for the three-body decay widths together with a
numerical analysis in the context of gaugino-mediated SUSY breaking with a
gravitino LSP.
| hep-ph | we compute the threebody decays of charged sleptons and sneutrinos into other sleptons these decays are of particular interest in susybreaking models with nonuniversal higgs mass parameters where the leftchiral sleptons can be lighter than the rightchiral ones and lighter than the lightest neutralino we present the formulas for the threebody decay widths together with a numerical analysis in the context of gauginomediated susy breaking with a gravitino lsp | [['we', 'compute', 'the', 'threebody', 'decays', 'of', 'charged', 'sleptons', 'and', 'sneutrinos', 'into', 'other', 'sleptons', 'these', 'decays', 'are', 'of', 'particular', 'interest', 'in', 'susybreaking', 'models', 'with', 'nonuniversal', 'higgs', 'mass', 'parameters', 'where', 'the', 'leftchiral', 'sleptons', 'can', 'be', 'lighter', 'than', 'the', 'rightchiral', 'ones', 'and', 'lighter', 'than', 'the', 'lightest', 'neutralino', 'we', 'present', 'the', 'formulas', 'for', 'the', 'threebody', 'decay', 'widths', 'together', 'with', 'a', 'numerical', 'analysis', 'in', 'the', 'context', 'of', 'gauginomediated', 'susy', 'breaking', 'with', 'a', 'gravitino', 'lsp']] | [-0.0576872285556696, 0.39729259354804736, 0.012131231917959192, 0.24898640114976012, -0.08586416058107346, -0.26130641257201415, -0.022670373968456104, 0.3094943654824696, -0.19496404670475834, -0.2661971879340168, 0.02561512374845536, -0.31672981151960033, 0.07310052056783352, 0.14095189151914278, 0.06226042042038424, 0.08679454151433015, 0.14159042401023317, -0.003767332062125206, -0.0933264200238214, -0.22975509774371766, 0.2584480155610304, -0.06465786534860946, 0.045336696251794914, 0.08754656741908495, -0.09150438677465571, -0.03991691045382101, 0.04163762319671071, -0.1727295320454067, -0.14083392062372918, 0.09542749245799538, 0.12546562403677736, 0.060295166144066534, 0.09540432119283124, -0.3341988859769038, -0.10356497764587402, 0.2727320273474291, 0.27466276118639804, 0.09246629349671412, -0.10042250361226067, -0.3836701450248559, 0.10687357823000006, -0.2328559020669132, -0.04489703670791958, -0.06340721630376588, -0.06341872800249553, -0.16900232979568883, -0.3589656064691751, 0.15559925103857034, -0.12086486541058707, -0.061209292677433594, -0.01712541343252836, -0.2394717680155367, -0.13295523325602213, -0.03954882741622303, 0.3137451818793256, -0.1388741619007635, 0.2153377400279261, -0.19898086911796228, -0.1473613970413588, 0.47058031551431917, -0.1268238196224548, -0.2092342454555404, 0.13449021092990576, -0.10870908320193058, -0.1909699669526215, 0.16437579111020634, 0.21161955539677021, 0.14197388067976505, -0.1111470201201197, 0.20693655496132493, -0.0606192387421143, 0.20078975923251416, 0.08204249906070206, 0.08330573291396318, 0.29399270855862164, 0.23663271046783504, 0.033457139277479786, 0.09156144347524378, -0.020126802913432915, -0.10340997139396875, -0.4270576253209425, -0.13385673716286386, -0.011193617726203756, 0.010549435731145028, -0.07594097496737537, -0.08864019603124293, 0.4219543029540691, 0.07645845170929164, 0.30315686582817114, 0.08828888294975394, 0.3378958781890949, 0.06779246084877978, 0.12362228211123442, 0.03297953115965145, 0.3605350117954979, 0.13227869146436022, 0.08743425527506549, -0.2286710640874462, -0.0735655085021711, 0.13162991918110545] |
712.1987 | A New Outer Bound and the Noisy-Interference Sum-Rate Capacity for
Gaussian Interference Channels | A new outer bound on the capacity region of Gaussian interference channels is
developed. The bound combines and improves existing genie-aided methods and is
shown to give the sum-rate capacity for noisy interference as defined in this
paper. Specifically, it is shown that if the channel coefficients and power
constraints satisfy a simple condition then single-user detection at each
receiver is sum-rate optimal, i.e., treating the interference as noise incurs
no loss in performance. This is the first concrete (finite signal-to-noise
ratio) capacity result for the Gaussian interference channel with weak to
moderate interference. Furthermore, for certain mixed (weak and strong)
interference scenarios, the new outer bounds give a corner point of the
capacity region.
| cs.IT math.IT | a new outer bound on the capacity region of gaussian interference channels is developed the bound combines and improves existing genieaided methods and is shown to give the sumrate capacity for noisy interference as defined in this paper specifically it is shown that if the channel coefficients and power constraints satisfy a simple condition then singleuser detection at each receiver is sumrate optimal ie treating the interference as noise incurs no loss in performance this is the first concrete finite signaltonoise ratio capacity result for the gaussian interference channel with weak to moderate interference furthermore for certain mixed weak and strong interference scenarios the new outer bounds give a corner point of the capacity region | [['a', 'new', 'outer', 'bound', 'on', 'the', 'capacity', 'region', 'of', 'gaussian', 'interference', 'channels', 'is', 'developed', 'the', 'bound', 'combines', 'and', 'improves', 'existing', 'genieaided', 'methods', 'and', 'is', 'shown', 'to', 'give', 'the', 'sumrate', 'capacity', 'for', 'noisy', 'interference', 'as', 'defined', 'in', 'this', 'paper', 'specifically', 'it', 'is', 'shown', 'that', 'if', 'the', 'channel', 'coefficients', 'and', 'power', 'constraints', 'satisfy', 'a', 'simple', 'condition', 'then', 'singleuser', 'detection', 'at', 'each', 'receiver', 'is', 'sumrate', 'optimal', 'ie', 'treating', 'the', 'interference', 'as', 'noise', 'incurs', 'no', 'loss', 'in', 'performance', 'this', 'is', 'the', 'first', 'concrete', 'finite', 'signaltonoise', 'ratio', 'capacity', 'result', 'for', 'the', 'gaussian', 'interference', 'channel', 'with', 'weak', 'to', 'moderate', 'interference', 'furthermore', 'for', 'certain', 'mixed', 'weak', 'and', 'strong', 'interference', 'scenarios', 'the', 'new', 'outer', 'bounds', 'give', 'a', 'corner', 'point', 'of', 'the', 'capacity', 'region']] | [-0.22462022708445464, 0.04917840429622194, -0.04337387238426701, 0.06911781356447255, -0.07951952885512424, -0.25884917050033157, 0.12074034619043865, 0.3253289270012275, -0.27476133718357787, -0.2517800698542724, 0.07519208397513823, -0.24007384053320097, -0.1672788111857422, 0.15553737644146642, -0.13247849998702094, 0.07073703802231213, 0.05161097238407187, 0.08764952377861608, -0.05048096591566244, -0.2527609774012766, 0.3285891585983336, 0.14326956612462907, 0.3517894534232176, 0.12085094751142289, 0.07078578191120988, -0.003557439087687627, 0.02269407718482873, -0.023288019228240718, -0.1410255067154851, 0.015613661256983229, 0.265982444041773, 0.15246204058437243, 0.22056954158874958, -0.3560033426984497, -0.24907211134129245, 0.10221151797424839, 0.14315493468843077, 0.06139252197969219, -0.062334638223578424, -0.2705889455974102, 0.10865266373300034, -0.15653993648517392, -0.013596040208864471, 0.018609906498180784, -0.08286093855681627, -0.0005958638308347082, -0.42195606893333404, 0.08197859685878148, 0.07774290188377642, 0.005614843851198321, 0.0078063610323664285, -0.17376258635852973, 0.06315084104628667, 0.1544686822666098, -0.012462089309954773, -0.02351525109666197, 0.06689139049824165, -0.11278554551789294, -0.07176346648990622, 0.3049395513275395, -0.06961710733240066, -0.22946581490661788, 0.15843749467141766, -0.12854574648663403, -0.06813126364317926, 0.20540653808528314, 0.1999516501283759, 0.06292836743779608, -0.17852293568784777, 0.08119807414022152, -0.04691471386214961, 0.14189674210172834, 0.11372302129216816, 0.16501265198862908, 0.10814270250721957, 0.14749774491900336, 0.18269757462422484, 0.21613176333029632, -0.1473049091681352, -0.10942103351344881, -0.29565633732177643, -0.11854819577369514, -0.2027547876239228, -0.006408992020980171, -0.08779030636955133, -0.0904121882570705, 0.28898279595229287, 0.08381458711203026, 0.15975015386736588, 0.1486890982269593, 0.4352947790661584, 0.1674189068397264, 0.029329905399809713, 0.13692741629708072, 0.2558502443620692, 0.15849542237170364, 0.05720166776977156, -0.20944552288755128, 0.08000968981372274, -0.004365300962134548] |
712.1988 | Bounds on the mass-to-radius ratio for non-compact field configurations | It is well known that a spherically symmetric compact star whose energy
density decreases monotonically possesses an upper bound on its mass-to-radius
ratio, $2M/R\leq 8/9$. However, field configurations typically will not be
compact. Here we investigate non-compact static configurations whose matter
fields have a slow global spatial decay, bounded by a power law behavior. These
matter distributions have no sharp boundaries. We derive an upper bound on the
fundamental ratio max_r{2m(r)/r} which is valid throughout the bulk. In its
simplest form, the bound implies that in any region of spacetime in which the
radial pressure increases, or alternatively decreases not faster than some
power law $r^{-(c+4)}$, one has $2m(r)/r \leq (2+2c)/(3+2c)$. [For $c \leq 0$
the bound degenerates to $2m(r)/r \leq 2/3$.] In its general version, the bound
is expressed in terms of two physical parameters: the spatial decaying rate of
the matter fields, and the highest occurring ratio of the trace of the pressure
tensor to the local energy density.
| gr-qc | it is well known that a spherically symmetric compact star whose energy density decreases monotonically possesses an upper bound on its masstoradius ratio 2mrleq 89 however field configurations typically will not be compact here we investigate noncompact static configurations whose matter fields have a slow global spatial decay bounded by a power law behavior these matter distributions have no sharp boundaries we derive an upper bound on the fundamental ratio max_r2mrr which is valid throughout the bulk in its simplest form the bound implies that in any region of spacetime in which the radial pressure increases or alternatively decreases not faster than some power law rc4 one has 2mrr leq 22c32c for c leq 0 the bound degenerates to 2mrr leq 23 in its general version the bound is expressed in terms of two physical parameters the spatial decaying rate of the matter fields and the highest occurring ratio of the trace of the pressure tensor to the local energy density | [['it', 'is', 'well', 'known', 'that', 'a', 'spherically', 'symmetric', 'compact', 'star', 'whose', 'energy', 'density', 'decreases', 'monotonically', 'possesses', 'an', 'upper', 'bound', 'on', 'its', 'masstoradius', 'ratio', '2mrleq', '89', 'however', 'field', 'configurations', 'typically', 'will', 'not', 'be', 'compact', 'here', 'we', 'investigate', 'noncompact', 'static', 'configurations', 'whose', 'matter', 'fields', 'have', 'a', 'slow', 'global', 'spatial', 'decay', 'bounded', 'by', 'a', 'power', 'law', 'behavior', 'these', 'matter', 'distributions', 'have', 'no', 'sharp', 'boundaries', 'we', 'derive', 'an', 'upper', 'bound', 'on', 'the', 'fundamental', 'ratio', 'max_r2mrr', 'which', 'is', 'valid', 'throughout', 'the', 'bulk', 'in', 'its', 'simplest', 'form', 'the', 'bound', 'implies', 'that', 'in', 'any', 'region', 'of', 'spacetime', 'in', 'which', 'the', 'radial', 'pressure', 'increases', 'or', 'alternatively', 'decreases', 'not', 'faster', 'than', 'some', 'power', 'law', 'rc4', 'one', 'has', '2mrr', 'leq', '22c32c', 'for', 'c', 'leq', '0', 'the', 'bound', 'degenerates', 'to', '2mrr', 'leq', '23', 'in', 'its', 'general', 'version', 'the', 'bound', 'is', 'expressed', 'in', 'terms', 'of', 'two', 'physical', 'parameters', 'the', 'spatial', 'decaying', 'rate', 'of', 'the', 'matter', 'fields', 'and', 'the', 'highest', 'occurring', 'ratio', 'of', 'the', 'trace', 'of', 'the', 'pressure', 'tensor', 'to', 'the', 'local', 'energy', 'density']] | [-0.16068481740724483, 0.17817429163882986, -0.07347382134109547, 0.06160835343445474, -0.047494588531789526, -0.12453524556152429, 0.021214184550203005, 0.311659724009518, -0.22319041280358842, -0.31228171125101517, 0.09985501540874873, -0.24689732435383374, -0.06613109363950317, 0.1688461936597677, -0.014298847851621966, -0.012840886851197957, -0.05426337135531291, 0.11616665756188427, -0.09910251458965336, -0.2187592325720323, 0.3027962673119493, 0.056397960581698846, 0.2754043339695664, 0.06621228289478046, 0.05043398162432581, -0.05028508313566069, 0.018498815752306504, -0.0012063920450738714, -0.18563482108501247, 0.04564170487950073, 0.1576001313308702, 0.1198777975499795, 0.22178965214569168, -0.3803477996486516, -0.1973336982508367, 0.16678617586443625, 0.17636082225031208, 0.03848740700308139, -0.03701654949543785, -0.21721148626478035, 0.10677527980525282, -0.16033509629483841, -0.18451310161654425, -0.020884982366232745, 0.07244174766628354, 0.016585151167568764, -0.2568668810874695, 0.1427051461289955, 0.09472541240430024, -0.0004666019323181738, -0.09880905213568336, -0.1477468833924106, -0.04495638436667291, 0.0732896483040568, 0.040302884330253905, 0.06257218115924727, 0.14423307358092757, -0.16561523397877528, -0.026864048683002024, 0.32677616865103004, -0.11107311090625767, -0.1949429573930352, 0.1682809224305085, -0.1849156079130082, -0.11915452371125221, 0.16122912656651409, 0.157009669084432, 0.16887077363990793, -0.10107542013843791, 0.13770902973579102, -0.05240175024388193, 0.20383756956943205, 0.09991339461500698, 0.06671968905978742, 0.20582153871537576, 0.09836211151596677, 0.11224815888106351, 0.11912177793042074, -0.07964783555369742, -0.08684717931289555, -0.3007742801115294, -0.15358344510991917, -0.19673320870843564, 0.07686397178659268, -0.1529965702667383, -0.15646516618354223, 0.3242255675214449, 0.03594004285125404, 0.19726937267777533, 0.06372037707368218, 0.2666466502307714, 0.1703837651441086, 0.05971660983787048, 0.1532035193294051, 0.2832751095427946, 0.16392676378570828, 0.06889994704176354, -0.1849080289513627, 0.061101335264400494, 0.024449661589515708] |
712.1989 | Magnetic phase transition and magnetocaloric effect in PrCo9Si4 and
NdCo9Si4 | The compounds, PrCo9Si4 and NdCo9Si4, have been recently reported to exhibit
first-order ferromagnetic transitions near 24 K. We have subjected this
compound for further characterization by magnetization, heat-capacity and
electrical resistivity measurements at low temperatures in the presence of
magnetic fields, particularly to probe magnetocaloric effect and
magnetoresistance. The compounds are found to exhibit rather modest
magnetocaloric effect at low temperatures peaking at Curie temperature,
tracking the behavior of magnetoresistance. The magnetic transition does not
appear to be first order in its character.
| cond-mat.mtrl-sci cond-mat.str-el | the compounds prco9si4 and ndco9si4 have been recently reported to exhibit firstorder ferromagnetic transitions near 24 k we have subjected this compound for further characterization by magnetization heatcapacity and electrical resistivity measurements at low temperatures in the presence of magnetic fields particularly to probe magnetocaloric effect and magnetoresistance the compounds are found to exhibit rather modest magnetocaloric effect at low temperatures peaking at curie temperature tracking the behavior of magnetoresistance the magnetic transition does not appear to be first order in its character | [['the', 'compounds', 'prco9si4', 'and', 'ndco9si4', 'have', 'been', 'recently', 'reported', 'to', 'exhibit', 'firstorder', 'ferromagnetic', 'transitions', 'near', '24', 'k', 'we', 'have', 'subjected', 'this', 'compound', 'for', 'further', 'characterization', 'by', 'magnetization', 'heatcapacity', 'and', 'electrical', 'resistivity', 'measurements', 'at', 'low', 'temperatures', 'in', 'the', 'presence', 'of', 'magnetic', 'fields', 'particularly', 'to', 'probe', 'magnetocaloric', 'effect', 'and', 'magnetoresistance', 'the', 'compounds', 'are', 'found', 'to', 'exhibit', 'rather', 'modest', 'magnetocaloric', 'effect', 'at', 'low', 'temperatures', 'peaking', 'at', 'curie', 'temperature', 'tracking', 'the', 'behavior', 'of', 'magnetoresistance', 'the', 'magnetic', 'transition', 'does', 'not', 'appear', 'to', 'be', 'first', 'order', 'in', 'its', 'character']] | [-0.16079289249983836, 0.23188973872427954, -0.04141610030107844, -0.03900169527278868, -0.07450579935224888, -0.15822455153030193, 0.08665420858902328, 0.42530734758870103, -0.22398514118919402, -0.35680344282293025, 0.026338167997353053, -0.352308950473175, -0.0882759765940316, 0.2196852528018716, 0.06170373271222307, -0.004333432684048872, -0.10438151763361177, 0.035786524614790614, -0.12864928912762322, -0.23490126866755295, 0.21799254562291834, 0.07291733744887659, 0.29470265138445906, 0.11487944898437019, 0.019284970966386206, -0.1070625799708787, 0.1897364415826253, 0.09219868450690015, -0.1323908728627879, -0.08558956793520922, 0.29851289140635434, -0.17504211570952594, 0.1495180899783233, -0.3876597772777816, -0.2052578471261824, 0.06872702960246875, 0.0967597103976633, 0.11457120008582686, -0.0895690534516801, -0.24291483354237345, 0.10774820757293958, -0.08506572499503325, -0.08781137042046513, -0.20265643088216032, -0.019605755179338616, -0.04777381161262316, -0.2415377386431727, 0.14879758618082162, 0.09214343429100412, 0.24374759881354777, -0.10736779802634071, -0.197081983572355, -0.03528039287890733, 0.03633323141925589, 0.09610345030640378, 0.02884667984750352, 0.17959818986164014, -0.07551195848169794, -0.10219096153238673, 0.3116176968187462, -0.05069582797385706, 0.021151180907991934, 0.1998605363783829, -0.31052425503155884, -0.13667949586301859, 0.24865714848662415, 0.16829657294775968, 0.10476712116189761, -0.16566991653109406, 0.058510187672692594, 0.09675708113606145, 0.12573865804545306, 0.06554084034337673, 0.08859216685142414, 0.27389268955376783, 0.15667334346123685, -0.029594611870929783, 0.17078414701218544, -0.16609609623750052, 0.011946188596387705, -0.14876671302718697, -0.13927217062137284, -0.19538358799584302, 0.07971039691233553, -0.0502485419204243, -0.20321029528722534, 0.3212801315419284, 0.21061399589396185, 0.18433595611138937, -0.046662576519596724, 0.22062977703495157, 0.13490704628552688, 0.12358160984391968, 0.067701890271295, 0.2991045740444535, 0.23367274435593482, 0.2525266868947649, -0.3143075184298702, 0.1743154801237167, -0.05036896892627816] |
712.199 | Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam
Splitters | We present up to 24-photon Bragg diffraction as a beam splitter in
light-pulse atom interferometers to achieve the largest splitting in momentum
space so far. Relative to the 2-photon processes used in the most sensitive
present interferometers, these large momentum transfer beam splitters increase
the phase shift 12-fold for Mach-Zehnder (MZ-) and 144-fold for Ramsey-Borde
(RB-) geometries. We achieve a high visibility of the interference fringes (up
to 52% for MZ or 36% for RB) and long pulse separation times that are possible
only in atomic fountain setups. As the atom's internal state is not changed,
important systematic effects can cancel.
| physics.atom-ph physics.optics | we present up to 24photon bragg diffraction as a beam splitter in lightpulse atom interferometers to achieve the largest splitting in momentum space so far relative to the 2photon processes used in the most sensitive present interferometers these large momentum transfer beam splitters increase the phase shift 12fold for machzehnder mz and 144fold for ramseyborde rb geometries we achieve a high visibility of the interference fringes up to 52 for mz or 36 for rb and long pulse separation times that are possible only in atomic fountain setups as the atoms internal state is not changed important systematic effects can cancel | [['we', 'present', 'up', 'to', '24photon', 'bragg', 'diffraction', 'as', 'a', 'beam', 'splitter', 'in', 'lightpulse', 'atom', 'interferometers', 'to', 'achieve', 'the', 'largest', 'splitting', 'in', 'momentum', 'space', 'so', 'far', 'relative', 'to', 'the', '2photon', 'processes', 'used', 'in', 'the', 'most', 'sensitive', 'present', 'interferometers', 'these', 'large', 'momentum', 'transfer', 'beam', 'splitters', 'increase', 'the', 'phase', 'shift', '12fold', 'for', 'machzehnder', 'mz', 'and', '144fold', 'for', 'ramseyborde', 'rb', 'geometries', 'we', 'achieve', 'a', 'high', 'visibility', 'of', 'the', 'interference', 'fringes', 'up', 'to', '52', 'for', 'mz', 'or', '36', 'for', 'rb', 'and', 'long', 'pulse', 'separation', 'times', 'that', 'are', 'possible', 'only', 'in', 'atomic', 'fountain', 'setups', 'as', 'the', 'atoms', 'internal', 'state', 'is', 'not', 'changed', 'important', 'systematic', 'effects', 'can', 'cancel']] | [-0.13490967396111697, 0.22435111837518035, -0.03557325147252267, 0.05531405388951452, -0.006339622144069936, -0.15352305420909565, 0.09059153744631042, 0.4858377140128251, -0.22966327205549625, -0.31824789498227113, 0.010428198443895037, -0.26476822518085064, -0.028255676147480955, 0.1932529044276423, -0.029495837980636742, 0.07307372153034043, 0.044552649940467544, -0.07867500217010577, -0.07653137530033204, -0.16180267762698497, 0.2588686002712377, 0.11169735266065056, 0.29015504767309236, 0.00561480330670196, 0.11152208216883468, -0.0021390678946662583, 0.04077918592351253, -0.04383348465239808, -0.08261917213795558, 0.02388844196449476, 0.27784004782072524, 0.04421633873866857, 0.1718359347526925, -0.4332692646280383, -0.1520004889654699, 0.0944646918167821, 0.17585956874877365, 0.19114034720743545, -0.01645840102961908, -0.27162174891793367, -0.03384640451633569, -0.15407245290098767, -0.12315388386504668, -0.08541480172425508, 0.035442827462284554, 0.03369161514847568, -0.23631645594676487, 0.027434284844661528, 0.006245198975110808, 0.03159293198412416, 0.045084436092469274, -0.1426781297971805, 0.025454528726204628, 0.06532839234363326, -0.09602738998952613, 0.05925894249936171, 0.1338847200574372, -0.07882963864113947, -0.10487914248134451, 0.3994505494607217, -0.09368546953838733, -0.13513630957841272, 0.12585990443929201, -0.20951485946172416, -0.049243448363297214, 0.1736413110423871, 0.17064797055361924, 0.08732096713525478, -0.08300948987310433, -0.053652443943046635, 0.01641593204641884, 0.2440013668648052, 0.21236173581388412, 0.15039158469969124, 0.17366424559925994, 0.13809429175300392, 0.11001426520089459, 0.13160799426318268, -0.1827457715319752, -0.054336845480267786, -0.27093546317815026, -0.14067779416030254, -0.16194391815048276, 0.042069932307273086, -0.013913025072660542, -0.07320010971578986, 0.3213009920084115, 0.12468630728321244, 0.16660269905784816, -0.07641473965192533, 0.35483517896647404, 0.10644873809492723, 0.11452622536682722, -0.030514075392574974, 0.31493164014748554, 0.16589759086079972, 0.11364946758957824, -0.28134779935006543, -0.014480659023228318, -0.056434223870511606] |
712.1991 | Baryon number violation and a new electroweak interaction | We introduce a new supercurrent in the electroweak sector of the standard
model. Its interaction with the hypergauge field influences the mass of the Z
boson but has no effect on the W^\pm-boson masses. In the leptonic sector it
affects the numerical value of the vector and axial coupling constants between
neutral currents and the Z boson, and a comparison with experimental values
yields an upper bound to the strength of the coupling between the supercurrent
and the hypergauge field. In the baryonic sector the supercurrent gives a new
contribution to the anomaly equation for baryon number current. As a
consequence it may have an effect on baryogenesis.
| hep-ph hep-lat hep-th | we introduce a new supercurrent in the electroweak sector of the standard model its interaction with the hypergauge field influences the mass of the z boson but has no effect on the wpmboson masses in the leptonic sector it affects the numerical value of the vector and axial coupling constants between neutral currents and the z boson and a comparison with experimental values yields an upper bound to the strength of the coupling between the supercurrent and the hypergauge field in the baryonic sector the supercurrent gives a new contribution to the anomaly equation for baryon number current as a consequence it may have an effect on baryogenesis | [['we', 'introduce', 'a', 'new', 'supercurrent', 'in', 'the', 'electroweak', 'sector', 'of', 'the', 'standard', 'model', 'its', 'interaction', 'with', 'the', 'hypergauge', 'field', 'influences', 'the', 'mass', 'of', 'the', 'z', 'boson', 'but', 'has', 'no', 'effect', 'on', 'the', 'wpmboson', 'masses', 'in', 'the', 'leptonic', 'sector', 'it', 'affects', 'the', 'numerical', 'value', 'of', 'the', 'vector', 'and', 'axial', 'coupling', 'constants', 'between', 'neutral', 'currents', 'and', 'the', 'z', 'boson', 'and', 'a', 'comparison', 'with', 'experimental', 'values', 'yields', 'an', 'upper', 'bound', 'to', 'the', 'strength', 'of', 'the', 'coupling', 'between', 'the', 'supercurrent', 'and', 'the', 'hypergauge', 'field', 'in', 'the', 'baryonic', 'sector', 'the', 'supercurrent', 'gives', 'a', 'new', 'contribution', 'to', 'the', 'anomaly', 'equation', 'for', 'baryon', 'number', 'current', 'as', 'a', 'consequence', 'it', 'may', 'have', 'an', 'effect', 'on', 'baryogenesis']] | [-0.16656521965396004, 0.20057649278600434, -0.02978635446494014, 0.06759010784810891, -0.08836849292533265, -0.08492410327394113, 0.07537206597151924, 0.2990663355578565, -0.2138365812478932, -0.30308523599955217, 0.02068130391395513, -0.26908611772685415, -0.05838048321850322, 0.15216922831368046, 0.0746372816911726, -0.015415589477520876, -0.010754990680315704, 0.07941427983826509, -0.05214685687139906, -0.21192682968211118, 0.3261460860613389, 0.02203245128772256, 0.25391823390748836, 0.142959575375749, 0.07239522445188076, -0.01659884920539938, 0.013176981790888088, -0.03566772773585938, -0.13140691510677613, 0.05408451301735585, 0.09741987714908275, 0.052947046041178204, 0.1677302243705425, -0.3615997307071531, -0.1330040612568458, 0.14873721147025074, 0.1292534328272773, 0.15716964207994924, -0.09533066564041225, -0.3059238451231202, 0.028394766260774945, -0.19096948243720732, -0.1203223356429522, -0.05110206788285049, -0.003652712302196219, -0.07670192342872421, -0.32897942428287397, 0.1348201863244564, -0.022799470949124684, 0.024314615065695426, -0.040719097160035744, -0.1419487246312201, -0.08334397798818019, 0.06271910688977826, 0.16422474437664883, 0.07102482275675154, 0.13730208433008995, -0.24579651067378344, -0.11998978028660295, 0.3676275528829407, -0.1388240715626765, -0.19450163030651985, 0.1530700837568104, -0.15211458078637305, -0.09830705962937188, 0.09558491349323756, 0.1542311163653654, 0.03479284210630727, -0.13864866382856336, 0.1612816488831649, -0.06269758008420467, 0.16190909977174467, -0.003803848155291268, 0.05355593747851715, 0.2630606832638107, 0.17226675339905476, 0.05254531926173648, 0.07674493206044038, -0.0876663916364864, -0.06092041954225688, -0.37860040007917967, -0.1704602154177674, -0.100351774426936, 0.050119996527899745, -0.09406352298025956, -0.13984588925571492, 0.41898559698731536, 0.15853559348788285, 0.2452845125199356, 0.018976312449753837, 0.296881402299429, 0.14090639064185476, 0.12123429419093386, 0.03336841846747255, 0.35266340190234285, 0.22497022212310522, 0.12995825215087584, -0.287306867669233, 0.012069903452087331, 0.07359464745106245] |
712.1992 | Coalescing Cellular Automata -- Synchronizing CA by Common Random Source
and Varying Asynchronicity | We say that a Cellular Automata (CA) is coalescing when its execution on two
distinct (random) initial configurations in the same asynchronous mode (the
same cells are updated in each configuration at each time step) makes both
configurations become identical after a reasonable time.
We prove coalescence for two elementary rules, non coalescence for two other,
and show that there exists infinitely many coalescing CA. We then conduct an
experimental study on all elementary CA and show that some rules exhibit a
phase transition, which belongs to the universality class of directed
percolation.
| nlin.CG | we say that a cellular automata ca is coalescing when its execution on two distinct random initial configurations in the same asynchronous mode the same cells are updated in each configuration at each time step makes both configurations become identical after a reasonable time we prove coalescence for two elementary rules non coalescence for two other and show that there exists infinitely many coalescing ca we then conduct an experimental study on all elementary ca and show that some rules exhibit a phase transition which belongs to the universality class of directed percolation | [['we', 'say', 'that', 'a', 'cellular', 'automata', 'ca', 'is', 'coalescing', 'when', 'its', 'execution', 'on', 'two', 'distinct', 'random', 'initial', 'configurations', 'in', 'the', 'same', 'asynchronous', 'mode', 'the', 'same', 'cells', 'are', 'updated', 'in', 'each', 'configuration', 'at', 'each', 'time', 'step', 'makes', 'both', 'configurations', 'become', 'identical', 'after', 'a', 'reasonable', 'time', 'we', 'prove', 'coalescence', 'for', 'two', 'elementary', 'rules', 'non', 'coalescence', 'for', 'two', 'other', 'and', 'show', 'that', 'there', 'exists', 'infinitely', 'many', 'coalescing', 'ca', 'we', 'then', 'conduct', 'an', 'experimental', 'study', 'on', 'all', 'elementary', 'ca', 'and', 'show', 'that', 'some', 'rules', 'exhibit', 'a', 'phase', 'transition', 'which', 'belongs', 'to', 'the', 'universality', 'class', 'of', 'directed', 'percolation']] | [-0.15461208907667026, 0.21271662562425242, -0.058931793442987386, 0.07418579298387011, -0.014585943156552891, -0.20031876970202692, 0.09337216366573127, 0.4349065378949206, -0.2472494593871537, -0.1908986913750664, 0.07282225078632755, -0.2775610996189938, -0.1317009830294097, 0.16203840589651497, 0.01951830182224512, 0.010619060741612308, 0.10346772536755569, 0.08789590062693722, -0.03872579742994119, -0.2290268182336423, 0.28063570025066537, -0.07197990335751905, 0.2836485368084483, -0.029067584573821997, 0.07332960456629754, 0.005931808227693201, 0.0005364730623700927, 0.06091318282509042, -0.10464829310481574, 0.0032846109581089787, 0.22666754805913536, 0.15116394226819838, 0.2629253326925219, -0.44352346308208923, -0.1786766854585499, 0.1598884960791717, 0.1379603666293445, 0.1367444177946797, -0.050181442976839116, -0.21307050571927139, 0.1333151208937809, -0.1476424623290778, -0.08924130661793614, -0.02997282094332159, 0.08270203483401127, 0.06598389725406123, -0.26890681682139517, -0.047591436714414626, 0.10465949591905159, 0.03542915950979917, -0.055792717074084106, -0.1128439059761423, -0.030263788832892335, 0.1238626447016178, -0.004638359899462391, -0.014087164321393576, 0.1003833847290646, -0.05035010980622422, -0.16418813612131822, 0.37397623146253245, -0.0075924886961377435, -0.17559212183589817, 0.25564605485327463, -0.15158237257699472, -0.23677303105397451, 0.15220254686190396, 0.1287900383474045, 0.11030146356431707, -0.12049134340846375, 0.04074880874200013, -0.06315364032703381, 0.16841498466949628, 0.08416869922450954, 0.005905413264108281, 0.20222994709207165, 0.17708549854065223, 0.08297853415108396, 0.14653014729202535, -0.043683386052287713, -0.16666782229277555, -0.3111694418895309, -0.1489626174412107, -0.145447367038365, 0.05399674536680342, -0.10779126834153117, -0.20366817373301713, 0.3701845671661118, 0.1346533061731206, 0.2297171188664863, 0.11621671276272184, 0.22054767113814872, 0.06962054615379662, 0.01990056118517313, 0.08957383277705841, 0.1924214339179803, 0.05572087941591137, 0.08399878465320154, -0.19268790500298624, 0.06871674311477491, 0.10106673067115167] |
712.1993 | Comment on "Hadronic $^3$He$\eta$ production near threshold" | Measurements of the differential and total cross sections for the $p d \to
^3$He $\eta$ reaction at five energies were recently reported [Phys. Rev. C
{\bf 75}, 014004 (2007)] and comparisons with theoretical models were made. We
point out that these comparisons involved a model based on ad hoc assumptions
and hence the conclusions regarding the reaction mechanism as well as the role
of the higher partial waves drawn in the above work are misleading. Revised
conclusions based on better model calculations are presented.
| nucl-th nucl-ex | measurements of the differential and total cross sections for the p d to 3he eta reaction at five energies were recently reported phys rev c bf 75 014004 2007 and comparisons with theoretical models were made we point out that these comparisons involved a model based on ad hoc assumptions and hence the conclusions regarding the reaction mechanism as well as the role of the higher partial waves drawn in the above work are misleading revised conclusions based on better model calculations are presented | [['measurements', 'of', 'the', 'differential', 'and', 'total', 'cross', 'sections', 'for', 'the', 'p', 'd', 'to', '3he', 'eta', 'reaction', 'at', 'five', 'energies', 'were', 'recently', 'reported', 'phys', 'rev', 'c', 'bf', '75', '014004', '2007', 'and', 'comparisons', 'with', 'theoretical', 'models', 'were', 'made', 'we', 'point', 'out', 'that', 'these', 'comparisons', 'involved', 'a', 'model', 'based', 'on', 'ad', 'hoc', 'assumptions', 'and', 'hence', 'the', 'conclusions', 'regarding', 'the', 'reaction', 'mechanism', 'as', 'well', 'as', 'the', 'role', 'of', 'the', 'higher', 'partial', 'waves', 'drawn', 'in', 'the', 'above', 'work', 'are', 'misleading', 'revised', 'conclusions', 'based', 'on', 'better', 'model', 'calculations', 'are', 'presented']] | [-0.055841780534148754, 0.06359004827934396, -0.04470357812831672, 0.02630779105631343, -0.047360441030328534, -0.1188319313160357, 0.11943449813827693, 0.37000369035403236, -0.1225268005965704, -0.3638088432286518, 0.019699041909785067, -0.3277440279250942, -0.11057701806751001, 0.19973616413940418, -0.00167736824859966, 0.09832326488861118, 0.06461669312487076, 0.011879347758479866, -0.05782866646558136, -0.24610428590641684, 0.2737669259062912, 0.14531493707593665, 0.26098180024783657, 0.09256284513387335, 0.024404007638524097, 0.0007319663965468665, -0.12286381320242422, -0.018085808504417718, -0.19765416906730354, 0.0733512707099498, 0.222695254397318, 0.0710042722590537, 0.17283469251166267, -0.45387258943933323, -0.23816420161445817, 0.05091954130926225, 0.0680947390368141, 0.10133683846994157, 0.00806433007581137, -0.2922522256330374, 0.08983541185496352, -0.16395942054419632, -0.09312244505812246, -0.07356768279863768, 0.11419441524894974, 0.04177730420677283, -0.280771521711161, 0.09057169835116849, 0.042953423764388335, 0.09629869534476612, -0.06146611747646098, -0.2562398093988199, -0.060657959619357465, 0.028382427838956375, 0.04144269856624305, 0.05666810884883807, 0.13152249326020568, -0.03892644740506468, -0.1276418712349182, 0.3599731403301997, -0.021165010092937083, -0.18583182715642524, 0.2110960777506726, -0.10375237563086381, -0.15215174590394528, 0.13604081618909566, 0.17831192282870054, 0.1359297808102635, -0.15019464134294763, 0.036418966958102914, -0.03823940178760922, 0.11498600248344164, 0.09478614713817117, -0.021776804616338158, 0.12575967739482063, 0.12912642042971698, -0.09557335663317557, -0.010286894099540022, -0.10521433306633528, -0.13478531315922737, -0.3441646528396621, -0.11535946737570935, -0.09975989535450935, 0.07455877184374146, -0.006371934907840486, -0.05893265084554273, 0.3064225110932287, 0.14212977490107337, 0.2665323484688997, -0.03173113566071513, 0.22648396897298026, 0.09557407725383583, -0.0001088580248473459, 0.07509945249970419, 0.31598074630980033, 0.1747925083422248, 0.1198782777043441, -0.1535353764038847, 0.1011342879115458, 0.01620002595303827] |
712.1994 | Knowledge Engineering Technique for Cluster Development | After the concept of industry cluster was tangibly applied in many countries,
SMEs trended to link to each other to maintain their competitiveness in the
market. The major key success factors of the cluster are knowledge sharing and
collaboration between partners. This knowledge is collected in form of tacit
and explicit knowledge from experts and institutions within the cluster. The
objective of this study is about enhancing the industry cluster with knowledge
management by using knowledge engineering which is one of the most important
method for managing knowledge. This work analyzed three well known knowledge
engineering methods, i.e. MOKA, SPEDE and CommonKADS, and compares the
capability to be implemented in the cluster context. Then, we selected one
method and proposed the adapted methodology. At the end of this paper, we
validated and demonstrated the proposed methodology with some primary result by
using case study of handicraft cluster in Thailand.
| cs.OH | after the concept of industry cluster was tangibly applied in many countries smes trended to link to each other to maintain their competitiveness in the market the major key success factors of the cluster are knowledge sharing and collaboration between partners this knowledge is collected in form of tacit and explicit knowledge from experts and institutions within the cluster the objective of this study is about enhancing the industry cluster with knowledge management by using knowledge engineering which is one of the most important method for managing knowledge this work analyzed three well known knowledge engineering methods ie moka spede and commonkads and compares the capability to be implemented in the cluster context then we selected one method and proposed the adapted methodology at the end of this paper we validated and demonstrated the proposed methodology with some primary result by using case study of handicraft cluster in thailand | [['after', 'the', 'concept', 'of', 'industry', 'cluster', 'was', 'tangibly', 'applied', 'in', 'many', 'countries', 'smes', 'trended', 'to', 'link', 'to', 'each', 'other', 'to', 'maintain', 'their', 'competitiveness', 'in', 'the', 'market', 'the', 'major', 'key', 'success', 'factors', 'of', 'the', 'cluster', 'are', 'knowledge', 'sharing', 'and', 'collaboration', 'between', 'partners', 'this', 'knowledge', 'is', 'collected', 'in', 'form', 'of', 'tacit', 'and', 'explicit', 'knowledge', 'from', 'experts', 'and', 'institutions', 'within', 'the', 'cluster', 'the', 'objective', 'of', 'this', 'study', 'is', 'about', 'enhancing', 'the', 'industry', 'cluster', 'with', 'knowledge', 'management', 'by', 'using', 'knowledge', 'engineering', 'which', 'is', 'one', 'of', 'the', 'most', 'important', 'method', 'for', 'managing', 'knowledge', 'this', 'work', 'analyzed', 'three', 'well', 'known', 'knowledge', 'engineering', 'methods', 'ie', 'moka', 'spede', 'and', 'commonkads', 'and', 'compares', 'the', 'capability', 'to', 'be', 'implemented', 'in', 'the', 'cluster', 'context', 'then', 'we', 'selected', 'one', 'method', 'and', 'proposed', 'the', 'adapted', 'methodology', 'at', 'the', 'end', 'of', 'this', 'paper', 'we', 'validated', 'and', 'demonstrated', 'the', 'proposed', 'methodology', 'with', 'some', 'primary', 'result', 'by', 'using', 'case', 'study', 'of', 'handicraft', 'cluster', 'in', 'thailand']] | [-0.028250695763130648, 0.007994346547167044, -0.05580593565615788, 0.03708460691268556, -0.08414641167729388, -0.08294530369567911, 0.06594910825102439, 0.38979282992816455, -0.23134070432924264, -0.37067768369751003, 0.11035830976765577, -0.2500776297387642, -0.15938702025419302, 0.1928126084763003, -0.08036057187898739, 0.03398431700141471, 0.06219836678576177, 0.05402207441118269, 0.006028613453767124, -0.290552076052975, 0.34403410985612787, 0.0684573603605197, 0.3322463041750362, 0.058756616655611306, 0.06791428807490454, 0.0021380201089070054, -0.11222073242911515, -0.03161187763200016, -0.10593578407723406, 0.20016065063080876, 0.32076446185631025, 0.19759690921401252, 0.34460802517227224, -0.38542676379753127, -0.1573141280033097, 0.06988229823882403, 0.12617180798937427, 0.07515257846397297, -0.03324310586007463, -0.30128231453803694, 0.10128922546219483, -0.23130666811138745, -0.15386165485314623, -0.05096417767344974, -0.039288877821024006, 0.018999795385359508, -0.2161618171557092, 0.017150025360122625, 0.03627497317171907, 0.0759183624318826, -0.05661158811936558, -0.14371129307216285, 0.007625102809617749, 0.2208917086874764, 0.06731830206479424, 0.019915153441566823, 0.1363410693278687, -0.128794905215162, -0.13481377803396458, 0.37259460849737797, -0.01365366913504093, -0.12900238062217328, 0.1850476998358342, -0.10116249104219212, -0.17204000144831938, 0.0469580714848849, 0.18504712763368278, 0.06324184346767897, -0.2253027578022935, 0.03722536882324257, 0.018812995156229195, 0.16063736428544428, 0.07100884394084632, -0.03355309544634577, 0.1608730216504301, 0.21906931436230503, 0.038917021117585306, 0.12730740389599451, -0.04197958134102157, -0.12391925736871623, -0.22584842263116828, -0.14210835560791296, -0.19151000960453138, -0.04353522409675517, -0.03847217054440202, -0.08190619303039401, 0.3855702397334893, 0.16774744432218172, 0.1202138726901565, -0.00566372910838549, 0.32662766295598467, 0.02359935433471676, 0.09465726527756683, 0.09944658050930279, 0.21290446817658595, 0.09168272244121023, 0.13503257175152367, -0.1742959243884134, 0.11776452645741252, 0.0026108530582860112] |
712.1995 | Helioseismic Ring Analysis of CME Source Regions | We apply the ring diagram technique to source regions of halo coronal mass
ejections (CMEs) to study changes in acoustic mode parameters before, during,
and after the onset of CMEs. We find that CME regions associated with a low
value of magnetic flux have line widths smaller than the quiet regions implying
a longer life-time for the oscillation modes. We suggest that this criterion
may be used to forecast the active regions which may trigger CMEs.
| astro-ph | we apply the ring diagram technique to source regions of halo coronal mass ejections cmes to study changes in acoustic mode parameters before during and after the onset of cmes we find that cme regions associated with a low value of magnetic flux have line widths smaller than the quiet regions implying a longer lifetime for the oscillation modes we suggest that this criterion may be used to forecast the active regions which may trigger cmes | [['we', 'apply', 'the', 'ring', 'diagram', 'technique', 'to', 'source', 'regions', 'of', 'halo', 'coronal', 'mass', 'ejections', 'cmes', 'to', 'study', 'changes', 'in', 'acoustic', 'mode', 'parameters', 'before', 'during', 'and', 'after', 'the', 'onset', 'of', 'cmes', 'we', 'find', 'that', 'cme', 'regions', 'associated', 'with', 'a', 'low', 'value', 'of', 'magnetic', 'flux', 'have', 'line', 'widths', 'smaller', 'than', 'the', 'quiet', 'regions', 'implying', 'a', 'longer', 'lifetime', 'for', 'the', 'oscillation', 'modes', 'we', 'suggest', 'that', 'this', 'criterion', 'may', 'be', 'used', 'to', 'forecast', 'the', 'active', 'regions', 'which', 'may', 'trigger', 'cmes']] | [-0.11240311338272142, 0.23638997728152103, -0.02722966010486217, 0.15972991990336022, -0.09015127292552375, -0.041696602417352166, 0.05663346574261883, 0.45492534001210805, -0.15052041249643816, -0.3706316203430393, 0.09318321596334786, -0.21132762165200947, -0.08508149402118043, 0.2167635089664193, -0.01881836467471562, -0.0366092884367773, 0.12547442652775267, -0.0016242801671308513, -0.09881526151500446, -0.15511866064595156, 0.26091758446081686, 0.11603959493559639, 0.21537820012063572, -0.020153207410322994, 0.0487987321209259, -0.1269471910720887, -0.01941981745001517, -0.00752413097468793, -0.1544157023257101, -0.011021086168655433, 0.18993213743363557, 0.11910352359623894, 0.24723282966174578, -0.42013161051038067, -0.2605898824235498, 0.09581229179533884, 0.25241076366632786, 0.038232309635005596, 0.008454380169017608, -0.27928111248796705, 0.09996672882009175, -0.15066664419320755, -0.1381823773201751, 0.0623875805299337, 0.06457355620927717, -0.019885000181506927, -0.3037694032000696, 0.15589439823586299, -0.017048424122070794, 0.058562352750940544, -0.10247377079825751, -0.0287260365194494, -0.06600649745546673, 0.10969480618491377, 0.13533387746122716, 0.04101732373543966, 0.24980836861619823, -0.09706590419917024, -0.04987274334569903, 0.31628380174209414, -0.003629919678611546, -0.053488008212298155, 0.18306137497634872, -0.24020568003547133, -0.12663289111744808, 0.21051610522217265, 0.18725852531037832, 0.07760871817529398, -0.08799589455348293, -0.10844726230693356, -0.013363813567833093, 0.1770173750180555, 0.04079111416726128, 0.02822231175377965, 0.30712336657176675, 0.08611915341431373, 0.09262613895522295, 0.14113590781619823, -0.21757864072309244, -0.017034584913696898, -0.2638745284394214, -0.09648035667640598, -0.04622769159820899, -0.01514423444965168, -0.07460073711282396, -0.1822280647098332, 0.44843325759039115, 0.1874633413819155, 0.254597775662612, -0.03567323513102325, 0.2575904422096516, 0.11017632456863985, 0.12913736405684367, 0.1455476213350745, 0.330702926926805, 0.15711740714706188, 0.16487274233153776, -0.25388074123398646, 0.06686188104734021, 0.11343465599010845] |
712.1996 | A case study of the difficulty of quantifier elimination in constraint
databases: the alibi query in moving object databases | In the constraint database model, spatial and spatio-temporal data are stored
by boolean combinations of polynomial equalities and inequalities over the real
numbers. The relational calculus augmented with polynomial constraints is the
standard first-order query language for constraint databases. Although the
expressive power of this query language has been studied extensively, the
difficulty of the efficient evaluation of queries, usually involving some form
of quantifier elimination, has received considerably less attention. The
inefficiency of existing quantifier-elimination software and the intrinsic
difficulty of quantifier elimination have proven to be a bottle-neck for for
real-world implementations of constraint database systems. In this paper, we
focus on a particular query, called the \emph{alibi query}, that asks whether
two moving objects whose positions are known at certain moments in time, could
have possibly met, given certain speed constraints. This query can be seen as a
constraint database query and its evaluation relies on the elimination of a
block of three existential quantifiers. Implementations of general purpose
elimination algorithms are in the specific case, for practical purposes, too
slow in answering the alibi query and fail completely in the parametric case.
The main contribution of this paper is an analytical solution to the parametric
alibi query, which can be used to answer this query in the specific case in
constant time. We also give an analytic solution to the alibi query at a fixed
moment in time. The solutions we propose are based on geometric argumentation
and they illustrate the fact that some practical problems require creative
solutions, where at least in theory, existing systems could provide a solution.
| cs.LO cs.CC cs.DB | in the constraint database model spatial and spatiotemporal data are stored by boolean combinations of polynomial equalities and inequalities over the real numbers the relational calculus augmented with polynomial constraints is the standard firstorder query language for constraint databases although the expressive power of this query language has been studied extensively the difficulty of the efficient evaluation of queries usually involving some form of quantifier elimination has received considerably less attention the inefficiency of existing quantifierelimination software and the intrinsic difficulty of quantifier elimination have proven to be a bottleneck for for realworld implementations of constraint database systems in this paper we focus on a particular query called the emphalibi query that asks whether two moving objects whose positions are known at certain moments in time could have possibly met given certain speed constraints this query can be seen as a constraint database query and its evaluation relies on the elimination of a block of three existential quantifiers implementations of general purpose elimination algorithms are in the specific case for practical purposes too slow in answering the alibi query and fail completely in the parametric case the main contribution of this paper is an analytical solution to the parametric alibi query which can be used to answer this query in the specific case in constant time we also give an analytic solution to the alibi query at a fixed moment in time the solutions we propose are based on geometric argumentation and they illustrate the fact that some practical problems require creative solutions where at least in theory existing systems could provide a solution | [['in', 'the', 'constraint', 'database', 'model', 'spatial', 'and', 'spatiotemporal', 'data', 'are', 'stored', 'by', 'boolean', 'combinations', 'of', 'polynomial', 'equalities', 'and', 'inequalities', 'over', 'the', 'real', 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712.1997 | Outflows from Massive Stars | The properties of outflows powered by massive stars are reviewed with an
emphasis on the nearest examples, Orion and Cepheus-A. The Orion OMC1 outflow
may have been powered by the dynamical decay of a non-hierarchical massive star
system that resulted in the ejection of the BN object, and poossibly radio
soruces I and n from the OMC1 core. This interaction must have produced at
least one massive binary whose gravitational binding energy ejected the stars
and powered the outflow. A specific model for the coupling of this energy to
the gas is proposed. The radio source HW2 in the Cep-A region appears to drive
a pulsed, precessing jet that may be powered by a moderate-mass companion in an
eccentric and inclined orbit. This configuration may be the result of binary
formation by capture. These outflows demonstrate that dynamical interactions
among massive stars are an important feature of massive star formation.
| astro-ph | the properties of outflows powered by massive stars are reviewed with an emphasis on the nearest examples orion and cepheusa the orion omc1 outflow may have been powered by the dynamical decay of a nonhierarchical massive star system that resulted in the ejection of the bn object and poossibly radio soruces i and n from the omc1 core this interaction must have produced at least one massive binary whose gravitational binding energy ejected the stars and powered the outflow a specific model for the coupling of this energy to the gas is proposed the radio source hw2 in the cepa region appears to drive a pulsed precessing jet that may be powered by a moderatemass companion in an eccentric and inclined orbit this configuration may be the result of binary formation by capture these outflows demonstrate that dynamical interactions among massive stars are an important feature of massive star formation | [['the', 'properties', 'of', 'outflows', 'powered', 'by', 'massive', 'stars', 'are', 'reviewed', 'with', 'an', 'emphasis', 'on', 'the', 'nearest', 'examples', 'orion', 'and', 'cepheusa', 'the', 'orion', 'omc1', 'outflow', 'may', 'have', 'been', 'powered', 'by', 'the', 'dynamical', 'decay', 'of', 'a', 'nonhierarchical', 'massive', 'star', 'system', 'that', 'resulted', 'in', 'the', 'ejection', 'of', 'the', 'bn', 'object', 'and', 'poossibly', 'radio', 'soruces', 'i', 'and', 'n', 'from', 'the', 'omc1', 'core', 'this', 'interaction', 'must', 'have', 'produced', 'at', 'least', 'one', 'massive', 'binary', 'whose', 'gravitational', 'binding', 'energy', 'ejected', 'the', 'stars', 'and', 'powered', 'the', 'outflow', 'a', 'specific', 'model', 'for', 'the', 'coupling', 'of', 'this', 'energy', 'to', 'the', 'gas', 'is', 'proposed', 'the', 'radio', 'source', 'hw2', 'in', 'the', 'cepa', 'region', 'appears', 'to', 'drive', 'a', 'pulsed', 'precessing', 'jet', 'that', 'may', 'be', 'powered', 'by', 'a', 'moderatemass', 'companion', 'in', 'an', 'eccentric', 'and', 'inclined', 'orbit', 'this', 'configuration', 'may', 'be', 'the', 'result', 'of', 'binary', 'formation', 'by', 'capture', 'these', 'outflows', 'demonstrate', 'that', 'dynamical', 'interactions', 'among', 'massive', 'stars', 'are', 'an', 'important', 'feature', 'of', 'massive', 'star', 'formation']] | [-0.14911966103479127, 0.14638885679497576, -0.02201315095896839, 0.06069403317785461, -0.11456410530447757, -0.08467977256260711, 0.0014392810289234836, 0.40496771083194383, -0.1921433221491776, -0.3074329793833348, 0.05043566903969761, -0.2528652435209805, -0.05490579847547346, 0.17740522986309615, 0.003371975116778583, -0.06035063954839977, 0.11958564658804487, -0.010945929450356738, -0.014058940855431416, -0.2083277685645347, 0.3534560036991222, 0.10459581701731195, 0.10860177986070413, -0.00552168116290249, 0.0611022431973596, -0.13440306841864624, 0.001640860662877965, -0.048355010825963246, -0.08507542894296087, 0.09635785271153868, 0.19036560967528154, 0.13948691453702342, 0.2245244060003129, -0.39064232886889255, -0.2552477704728542, 0.035609935164819057, 0.22607176274466675, 0.023715476367462643, -0.11342681956803743, -0.30048601958682114, 0.11600178562510176, -0.2738049166707867, -0.15806418968694044, 0.08799310281924622, 0.05738433506213078, 0.07566014183906927, -0.26311039533085967, 0.08275452463928813, 0.06489548022497674, 0.028027614757583356, -0.10781694861242966, -0.05770349016549307, -0.06405880022794008, 0.06619646896918614, 0.055770875237482996, 0.12273880597964233, 0.20099030517447156, -0.14442405284090967, -0.06633792469455373, 0.4102119858674452, -0.014345542442205608, -0.07496533145000335, 0.2762359224357262, -0.17862137690262528, -0.19062827945351093, 0.18042715039218263, 0.18111492161239898, 0.15433619416724306, -0.179250869580638, -0.03358056257299914, -0.017590188837869943, 0.15555061081259633, 0.03594188409268248, 0.05827097426846522, 0.3925739806208785, 0.13670923094404544, -0.015832782843384612, 0.15302790718970402, -0.2004022924910572, -0.09993375514374198, -0.19717445510889398, -0.09236123364855897, -0.1520782023617605, 0.10051993066112377, -0.11302944085809012, -0.073280094419511, 0.31086772647001276, 0.05186310443058246, 0.19023967190918062, -0.05763865127323233, 0.29430072427708276, 0.09849678388983645, 0.12328579093861793, 0.1806889771813286, 0.3461788935384073, 0.16422485042407753, 0.08777077914830171, -0.255141683488286, 0.08349139391298906, 0.02533211615760209] |
712.1998 | Mass Spectrum and Statistical Entropy of the BTZ black hole from
Canonical Quantum Gravity | In a recent publication we developed a canonical quantization program
describing the gravitational collapse of a spherical dust cloud in 2+1
dimensions with a negative cosmological constant $-\Lambda\equiv -l^{-2}<0$. In
this paper we address the quantization of the Banados--Teitelboim--Zanelli
(BTZ) black hole. We show that the mass function describing the black hole is
made of two pieces, a constant non-vanishing boundary contribution and a
discrete spectrum of the form $\mu_n = \frac{\hbar}{l}(n+ \frac 12)$. The
discrete spectrum is obtained by applying the Wheeler--DeWitt equation with a
particular choice of factor ordering and interpreted as giving the energy
levels of the collapsed matter shells that form the black hole. Treating a
black hole microstate as a particular distribution of shells among the levels,
we determine the canonical entropy of the BTZ black hole. Comparison with the
Bekenstein--Hawking entropy shows that the boundary energy is related to the
central charge of the Virasoro algebra that generates the asymptotic symmetry
group of the three-dimensional anti-de Sitter space AdS$_3$. This gives a
connection between the Wheeler--DeWitt approach and the conformal field theory
approach.
| gr-qc astro-ph hep-th | in a recent publication we developed a canonical quantization program describing the gravitational collapse of a spherical dust cloud in 21 dimensions with a negative cosmological constant lambdaequiv l20 in this paper we address the quantization of the banadosteitelboimzanelli btz black hole we show that the mass function describing the black hole is made of two pieces a constant nonvanishing boundary contribution and a discrete spectrum of the form mu_n frachbarln frac 12 the discrete spectrum is obtained by applying the wheelerdewitt equation with a particular choice of factor ordering and interpreted as giving the energy levels of the collapsed matter shells that form the black hole treating a black hole microstate as a particular distribution of shells among the levels we determine the canonical entropy of the btz black hole comparison with the bekensteinhawking entropy shows that the boundary energy is related to the central charge of the virasoro algebra that generates the asymptotic symmetry group of the threedimensional antide sitter space ads_3 this gives a connection between the wheelerdewitt approach and the conformal field theory approach | [['in', 'a', 'recent', 'publication', 'we', 'developed', 'a', 'canonical', 'quantization', 'program', 'describing', 'the', 'gravitational', 'collapse', 'of', 'a', 'spherical', 'dust', 'cloud', 'in', '21', 'dimensions', 'with', 'a', 'negative', 'cosmological', 'constant', 'lambdaequiv', 'l20', 'in', 'this', 'paper', 'we', 'address', 'the', 'quantization', 'of', 'the', 'banadosteitelboimzanelli', 'btz', 'black', 'hole', 'we', 'show', 'that', 'the', 'mass', 'function', 'describing', 'the', 'black', 'hole', 'is', 'made', 'of', 'two', 'pieces', 'a', 'constant', 'nonvanishing', 'boundary', 'contribution', 'and', 'a', 'discrete', 'spectrum', 'of', 'the', 'form', 'mu_n', 'frachbarln', 'frac', '12', 'the', 'discrete', 'spectrum', 'is', 'obtained', 'by', 'applying', 'the', 'wheelerdewitt', 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712.1999 | Large magnetocaloric effect in Gd4Co3 | We report a large entropy change (DeltaS) below 300 K, peaking near TC= 220
K, due to isothermal change of magnetic field, for Gd4Co3, with a refrigeration
capacity higher than that of Gd. Notably, the isothermal magnetization is
nonhysteretic - an important criterion for magnetic refrigeration without loss.
DeltaS behavior is also compared with that of magnetoresistance.
| cond-mat.str-el cond-mat.mtrl-sci | we report a large entropy change deltas below 300 k peaking near tc 220 k due to isothermal change of magnetic field for gd4co3 with a refrigeration capacity higher than that of gd notably the isothermal magnetization is nonhysteretic an important criterion for magnetic refrigeration without loss deltas behavior is also compared with that of magnetoresistance | [['we', 'report', 'a', 'large', 'entropy', 'change', 'deltas', 'below', '300', 'k', 'peaking', 'near', 'tc', '220', 'k', 'due', 'to', 'isothermal', 'change', 'of', 'magnetic', 'field', 'for', 'gd4co3', 'with', 'a', 'refrigeration', 'capacity', 'higher', 'than', 'that', 'of', 'gd', 'notably', 'the', 'isothermal', 'magnetization', 'is', 'nonhysteretic', 'an', 'important', 'criterion', 'for', 'magnetic', 'refrigeration', 'without', 'loss', 'deltas', 'behavior', 'is', 'also', 'compared', 'with', 'that', 'of', 'magnetoresistance']] | [-0.1528324940834533, 0.1995064858286324, 0.018016256645999172, -0.014581226028332657, -0.09849378359927373, -0.18333197356286374, 0.11637553558261557, 0.3604910895228386, -0.22346344894983552, -0.3636328761889176, 0.07081577357074076, -0.35981634294783527, -0.044564695525067775, 0.2532227450812405, 0.024183771276677198, 0.002420137585564093, -0.05418869172307578, 0.12553107323632998, -0.12876436926255172, -0.19448681422509254, 0.2666657249019905, 0.05217889146032659, 0.28249777955087746, 0.1007982407188551, 0.04528818577514771, -0.057688659082420844, 0.18077833737162027, 0.06987609749829227, -0.15871683197566944, -0.010065496001731266, 0.23141341124745932, -0.06806794425303286, 0.23067452162504196, -0.34760935551232913, -0.23394195317206057, 0.09328000494702296, 0.08401809311048551, 0.03937989182092927, -0.04425432394174012, -0.13705868368799037, 0.1481208242306655, -0.1041052198884162, -0.11784213688224554, -0.12138773799789222, 0.02805196989370002, -0.05125454219312153, -0.3053328106857159, 0.1847388800185978, 0.1416541186246005, 0.21835757709023626, -0.12677041035653516, -0.20541762269356034, -0.016109796918251297, -0.045778075537898325, 0.04811088448729028, 0.10198300716213204, 0.21899018574675375, -0.13040936216711999, -0.06247489690272646, 0.3107483118095181, -0.13704901931685692, 0.0186508601362055, 0.14140080599622293, -0.19560464629056779, -0.027597142264924265, 0.22530255757102913, 0.13591782802673566, 0.14517440049147065, -0.1460781271484765, 0.03644859716296196, 0.049917215191420505, 0.19538331160491162, 0.0780630439011888, 0.01103022505783222, 0.20342744606631724, 0.1803602461618456, 0.10786277584900911, 0.1775053385137157, -0.15883760539476166, -0.04893504845147783, -0.21915416797538373, -0.21799452914433046, -0.16436239443719386, 0.1328899715773084, -0.14430663045495748, -0.18182515510442582, 0.29370637415823614, 0.19199831134385684, 0.21107969300990756, -0.02037982347167351, 0.2866813981736248, 0.14085561652583153, 0.07048093994910067, 0.17045460148629818, 0.2365247287194837, 0.21151398996060544, 0.2348759943958033, -0.30294685023413465, 0.07572319320487705, -0.053999364833262835] |
712.2 | Continuum limits of random matrices and the Brownian carousel | We show that at any location away from the spectral edge, the eigenvalues of
the Gaussian unitary ensemble and its general beta siblings converge to
Sine_beta, a translation invariant point process. This process has a geometric
description in term of the Brownian carousel, a deterministic function of
Brownian motion in the hyperbolic plane.
The Brownian carousel, a description of the a continuum limit of random
matrices, provides a convenient way to analyze the limiting point processes. We
show that the gap probability of Sine_beta is continuous in the gap size and
$\beta$, and compute its asymptotics for large gaps. Moreover, the stochastic
differential equation version of the Brownian carousel exhibits a phase
transition at beta=2.
| math.PR math-ph math.MP | we show that at any location away from the spectral edge the eigenvalues of the gaussian unitary ensemble and its general beta siblings converge to sine_beta a translation invariant point process this process has a geometric description in term of the brownian carousel a deterministic function of brownian motion in the hyperbolic plane the brownian carousel a description of the a continuum limit of random matrices provides a convenient way to analyze the limiting point processes we show that the gap probability of sine_beta is continuous in the gap size and beta and compute its asymptotics for large gaps moreover the stochastic differential equation version of the brownian carousel exhibits a phase transition at beta2 | [['we', 'show', 'that', 'at', 'any', 'location', 'away', 'from', 'the', 'spectral', 'edge', 'the', 'eigenvalues', 'of', 'the', 'gaussian', 'unitary', 'ensemble', 'and', 'its', 'general', 'beta', 'siblings', 'converge', 'to', 'sine_beta', 'a', 'translation', 'invariant', 'point', 'process', 'this', 'process', 'has', 'a', 'geometric', 'description', 'in', 'term', 'of', 'the', 'brownian', 'carousel', 'a', 'deterministic', 'function', 'of', 'brownian', 'motion', 'in', 'the', 'hyperbolic', 'plane', 'the', 'brownian', 'carousel', 'a', 'description', 'of', 'the', 'a', 'continuum', 'limit', 'of', 'random', 'matrices', 'provides', 'a', 'convenient', 'way', 'to', 'analyze', 'the', 'limiting', 'point', 'processes', 'we', 'show', 'that', 'the', 'gap', 'probability', 'of', 'sine_beta', 'is', 'continuous', 'in', 'the', 'gap', 'size', 'and', 'beta', 'and', 'compute', 'its', 'asymptotics', 'for', 'large', 'gaps', 'moreover', 'the', 'stochastic', 'differential', 'equation', 'version', 'of', 'the', 'brownian', 'carousel', 'exhibits', 'a', 'phase', 'transition', 'at', 'beta2']] | [-0.10903259161049905, 0.13036793481113146, -0.13825120606014263, 0.060438413072900043, -0.028511738542305386, -0.09842198673716705, 0.09702235080058808, 0.36378007111665994, -0.3051471707208649, -0.21224314728751778, 0.07312571542519752, -0.2910966349846643, -0.1668067458794331, 0.13209780259462803, -0.06535064131628884, 0.08522687531582525, 0.05433186811152036, 0.047874322152979994, -0.07462348642192133, -0.11938813309306684, 0.2740128995992405, 0.029186192154884338, 0.22317705625951614, -0.02387635275296381, 0.13981644171897484, 0.006137811048361271, -0.008974195757637853, -0.03446202871045503, -0.1576295229693642, 0.06931560111191609, 0.17715671689290066, 0.019372215316347453, 0.2458202829078326, -0.3450798664484983, -0.18136482744923105, 0.12932462025555255, 0.13455928519504834, 0.0851260682405985, -0.023415600638026775, -0.2813382179456075, 0.05695884936367688, -0.11197900462733662, -0.2288078117174218, -0.027955756028709203, 0.06752584393581619, 0.03203776348787157, -0.2872365086865814, 0.08941487324140641, 0.14762666907525904, 0.01944618886741607, -0.013651739577155398, -0.09220497974943694, 0.007087106854938295, 0.1292008587807093, 0.02898543828278375, 0.01447023871233282, 0.17109321983450132, -0.13299431832021344, -0.11774094735636659, 0.38024595821195323, -0.11053967008205212, -0.2320474721936752, 0.15776557213343356, -0.22311826435768087, -0.13130594047758243, 0.176596845249119, 0.14295326320697432, 0.09712222398299238, -0.16081263342791277, 0.1703859699064987, -0.04728078881035681, 0.1251657039519278, 0.06334159947000444, -0.0029504863803436897, 0.18501075704420067, 0.14304139491008674, 0.1342836796184597, 0.17255868429075116, -0.1065379055439616, -0.1818971539321153, -0.32578362981262415, -0.19395466471171896, -0.2268068237705966, 0.10099485053518868, -0.15597214840476542, -0.22905229269305458, 0.3889822269546921, 0.1169730704014554, 0.22949531768327175, 0.12196357389304625, 0.22004007324171454, 0.20607605903136098, -0.02341022717402033, 0.09106288909426202, 0.15755329294049222, 0.1252386850082194, 0.1025537213391584, -0.20501089233135725, 0.028869520779699086, 0.08586014769161525] |
712.2001 | Theoretical upper bound on the mass of the LSP in the MNSSM | We study the neutralino sector of the Minimal Non-minimal Supersymmetric
Standard Model (MNSSM) where the $\mu$ problem of the Minimal Supersymmetric
Standard Model (MSSM) is solved without accompanying problems related with the
appearance of domain walls. In the MNSSM as in the MSSM the lightest neutralino
can be the absolutely stable lightest supersymmetric particle (LSP) providing a
good candidate for the cold dark matter component of the Universe. In contrast
with the MSSM the allowed range of the mass of the lightest neutralino in the
MNSSM is limited. We establish the theoretical upper bound on the lightest
neutralino mass in the framework of this model and obtain an approximate
solution for this mass.
| hep-ph | we study the neutralino sector of the minimal nonminimal supersymmetric standard model mnssm where the mu problem of the minimal supersymmetric standard model mssm is solved without accompanying problems related with the appearance of domain walls in the mnssm as in the mssm the lightest neutralino can be the absolutely stable lightest supersymmetric particle lsp providing a good candidate for the cold dark matter component of the universe in contrast with the mssm the allowed range of the mass of the lightest neutralino in the mnssm is limited we establish the theoretical upper bound on the lightest neutralino mass in the framework of this model and obtain an approximate solution for this mass | [['we', 'study', 'the', 'neutralino', 'sector', 'of', 'the', 'minimal', 'nonminimal', 'supersymmetric', 'standard', 'model', 'mnssm', 'where', 'the', 'mu', 'problem', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'is', 'solved', 'without', 'accompanying', 'problems', 'related', 'with', 'the', 'appearance', 'of', 'domain', 'walls', 'in', 'the', 'mnssm', 'as', 'in', 'the', 'mssm', 'the', 'lightest', 'neutralino', 'can', 'be', 'the', 'absolutely', 'stable', 'lightest', 'supersymmetric', 'particle', 'lsp', 'providing', 'a', 'good', 'candidate', 'for', 'the', 'cold', 'dark', 'matter', 'component', 'of', 'the', 'universe', 'in', 'contrast', 'with', 'the', 'mssm', 'the', 'allowed', 'range', 'of', 'the', 'mass', 'of', 'the', 'lightest', 'neutralino', 'in', 'the', 'mnssm', 'is', 'limited', 'we', 'establish', 'the', 'theoretical', 'upper', 'bound', 'on', 'the', 'lightest', 'neutralino', 'mass', 'in', 'the', 'framework', 'of', 'this', 'model', 'and', 'obtain', 'an', 'approximate', 'solution', 'for', 'this', 'mass']] | [-0.07201403500594661, 0.20040604663691874, -0.020155214872278344, 0.1900108184962146, -0.07603090108512381, -0.15103523737742705, 0.02456165058126228, 0.27723440457860715, -0.2082262552977927, -0.34427099760654756, 0.05071735422979974, -0.2432821473823778, 0.034740814831997965, 0.11645657055191201, -0.01886532759804905, 0.09857383920951227, 0.05377314533972371, 0.06774912530193682, -0.03112958975762656, -0.23184616085908383, 0.2566741826115753, -0.0003871275029614963, 0.15268347109049824, 0.10267539632267657, 0.02747137637693534, -0.037788355442802464, 0.007439328246313123, -0.13555813075529527, -0.1804477686981415, 0.11977280214309395, 0.1676197516839061, 0.09859325783237077, 0.12207513673651336, -0.3439524095151079, -0.19851764528888516, 0.27082498734239985, 0.18033874361668673, 0.05227429966186791, -0.08631762274359642, -0.3219035319258681, 0.09298301150968744, -0.227885258977458, -0.12948066650568385, 0.0025904237300948757, -0.08188667945333022, -0.16926287952192393, -0.3083155469771112, 0.1546641139527865, -0.05015139353453322, -0.07390404651090873, -0.06060665968673683, -0.1450358457818001, -0.10393022185405798, -0.026246354095143292, 0.19307778669475884, -0.023964665597304702, 0.16316316913879286, -0.23023146622097201, -0.11537042416764044, 0.46553630025777143, -0.15404794342502687, -0.21633712256706394, 0.146052216175548, -0.11318562907554143, -0.13459241252590334, 0.1208707237949974, 0.1492316247766582, 0.16249303164092443, -0.14409148788689513, 0.28880033150791246, -0.13491023305506833, 0.19968190509001765, 0.04360506106662539, 0.0305067416758532, 0.31407230830363997, 0.2752190829229961, 0.1118009374683014, 0.09222713791027633, -0.046498625005587144, -0.140296387041103, -0.43144319763621397, -0.1676193223344121, -0.10394815272091171, -0.05740201536646376, -0.11257612356177915, -0.14378363107520659, 0.4203461305098196, 0.1291087879778702, 0.22949171655572356, 0.051490157892086864, 0.31020262665980686, 0.07212528830241675, 0.020325355182311176, 0.014279763931326107, 0.3273165747523308, 0.1314497172350344, 0.08433208685055112, -0.24815322326051187, -0.06527329263260868, 0.08482824041368028] |
712.2002 | Magnetic anomalies in single crystalline ErPd2Si2 | Considering certain interesting features in the previously reported 166Er
Moessbauer effect and neutron diffraction data on the polycrystalline form of
ErPd2Si2 crystallizing in ThCr2Si2-type tetragonal structure, we have carried
out magnetic measurements (1.8 to 300 K) on the single crystalline form of this
compound. We observe significant anisotropy in the absolute values of
magnetization (indicating that the easy axis is c-axis) as well as in the
features due to magnetic ordering in the plot of magnetic susceptibility (chi)
versus temperature (T) at low temperatures. The chi(T) data reveal that there
is a pseudo-low dimensional magnetic order setting in at 4.8 K, with a
three-dimensional antiferromagnetic ordering setting in at a lower temperature
(3.8 K). A new finding in the chi(T) data is that, for H//<110>, but not for
H//<001>, there is a broad shoulder in the range 8-20 K, indicative of the
existence of magnetic correlations above 5 K as well, which could be related to
the previously reported slow-relaxation-dominated Moessbauer spectra.
Interestingly, the temperature coefficient of electrical resistivity is found
to be isotropic; no feature due to magnetic ordering could be detected in the
electrical resistivity data at low temperatures, which is attributed to
magnetic Brillioun-zone boundary gap effects. The results reveal complex nature
of the magnetism of this compound.
| cond-mat.str-el cond-mat.mtrl-sci | considering certain interesting features in the previously reported 166er moessbauer effect and neutron diffraction data on the polycrystalline form of erpd2si2 crystallizing in thcr2si2type tetragonal structure we have carried out magnetic measurements 18 to 300 k on the single crystalline form of this compound we observe significant anisotropy in the absolute values of magnetization indicating that the easy axis is caxis as well as in the features due to magnetic ordering in the plot of magnetic susceptibility chi versus temperature t at low temperatures the chit data reveal that there is a pseudolow dimensional magnetic order setting in at 48 k with a threedimensional antiferromagnetic ordering setting in at a lower temperature 38 k a new finding in the chit data is that for h110 but not for h001 there is a broad shoulder in the range 820 k indicative of the existence of magnetic correlations above 5 k as well which could be related to the previously reported slowrelaxationdominated moessbauer spectra interestingly the temperature coefficient of electrical resistivity is found to be isotropic no feature due to magnetic ordering could be detected in the electrical resistivity data at low temperatures which is attributed to magnetic brilliounzone boundary gap effects the results reveal complex nature of the magnetism of this compound | [['considering', 'certain', 'interesting', 'features', 'in', 'the', 'previously', 'reported', '166er', 'moessbauer', 'effect', 'and', 'neutron', 'diffraction', 'data', 'on', 'the', 'polycrystalline', 'form', 'of', 'erpd2si2', 'crystallizing', 'in', 'thcr2si2type', 'tetragonal', 'structure', 'we', 'have', 'carried', 'out', 'magnetic', 'measurements', '18', 'to', '300', 'k', 'on', 'the', 'single', 'crystalline', 'form', 'of', 'this', 'compound', 'we', 'observe', 'significant', 'anisotropy', 'in', 'the', 'absolute', 'values', 'of', 'magnetization', 'indicating', 'that', 'the', 'easy', 'axis', 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712.2003 | Spatial line nodes and fractional vortex pairs in the
Fulde-Ferrell-Larkin-Ovchinnikov phase | A Zeeman magnetic field can induce a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)
phase in spin-singlet superconductors. Here we argue that there is a
non-trivial solution for the FFLO vortex phase that exists near the upper
critical field in which the wavefunction has only spatial line nodes that form
intricate and unusual three-dimensional structures. These structures include a
crisscrossing lattice of two sets of non-parallel line nodes. We show that
these solutions arise from the decay of conventional Abrikosov vortices into
pairs of fractional vortices. We propose that neutron scattering studies can
observe these fractional vortex pairs through the observation of a lattice of
1/2 flux quanta vortices. We also consider related phases in
non-centrosymmetric (NC) superconductors.
| cond-mat.str-el cond-mat.supr-con | a zeeman magnetic field can induce a fuldeferrelllarkinovchinnikov fflo phase in spinsinglet superconductors here we argue that there is a nontrivial solution for the fflo vortex phase that exists near the upper critical field in which the wavefunction has only spatial line nodes that form intricate and unusual threedimensional structures these structures include a crisscrossing lattice of two sets of nonparallel line nodes we show that these solutions arise from the decay of conventional abrikosov vortices into pairs of fractional vortices we propose that neutron scattering studies can observe these fractional vortex pairs through the observation of a lattice of 12 flux quanta vortices we also consider related phases in noncentrosymmetric nc superconductors | [['a', 'zeeman', 'magnetic', 'field', 'can', 'induce', 'a', 'fuldeferrelllarkinovchinnikov', 'fflo', 'phase', 'in', 'spinsinglet', 'superconductors', 'here', 'we', 'argue', 'that', 'there', 'is', 'a', 'nontrivial', 'solution', 'for', 'the', 'fflo', 'vortex', 'phase', 'that', 'exists', 'near', 'the', 'upper', 'critical', 'field', 'in', 'which', 'the', 'wavefunction', 'has', 'only', 'spatial', 'line', 'nodes', 'that', 'form', 'intricate', 'and', 'unusual', 'threedimensional', 'structures', 'these', 'structures', 'include', 'a', 'crisscrossing', 'lattice', 'of', 'two', 'sets', 'of', 'nonparallel', 'line', 'nodes', 'we', 'show', 'that', 'these', 'solutions', 'arise', 'from', 'the', 'decay', 'of', 'conventional', 'abrikosov', 'vortices', 'into', 'pairs', 'of', 'fractional', 'vortices', 'we', 'propose', 'that', 'neutron', 'scattering', 'studies', 'can', 'observe', 'these', 'fractional', 'vortex', 'pairs', 'through', 'the', 'observation', 'of', 'a', 'lattice', 'of', '12', 'flux', 'quanta', 'vortices', 'we', 'also', 'consider', 'related', 'phases', 'in', 'noncentrosymmetric', 'nc', 'superconductors']] | [-0.288177047501755, 0.24291913467665424, -0.06414890453730406, 0.08186493052965013, -0.08497502916879886, -0.1311003573824017, 0.0898156362087095, 0.3820154323465133, -0.22874711555494737, -0.22306240371848762, 0.007087131437796077, -0.2813934502150633, -0.1446911091957472, 0.15458490275901504, 0.0575297225505707, -0.013649369760486503, 0.002033262371407014, 0.0018361305521257156, -0.10034627518699035, -0.2113719566764343, 0.3978115754867533, -0.1136698458236601, 0.3327525795058273, 0.044415805348714366, 0.03990802201813301, -0.07491181333821299, 0.08904361908439448, 0.059654040348641905, -0.18190442558448294, 0.04213539791186299, 0.24593680200323595, -0.02351105136722656, 0.14413207405106684, -0.47773942207934056, -0.2189752030265167, 0.11427776666308663, 0.21818793669705633, 0.17400163624629345, -0.06226446102496929, -0.3040002178466689, 0.04163694740437894, -0.1125284024077443, -0.11849270284431368, -0.10611384166033724, 0.014244106597940858, 0.035393960984110566, -0.2192889125296533, 0.08334964835904003, 0.08118090813204779, 0.05444342394094642, -0.09127641462646754, -0.08913019123956957, -0.050010335635789466, -0.006283764121641891, 0.047736803151098434, 0.06048586789469144, 0.06683273596557236, -0.17300411847531302, -0.17249465818450976, 0.3417458760436723, -0.021782569246194317, -0.12287593377852994, 0.13260772350384334, -0.1610304918491737, -0.09477557009910192, 0.19399078714504706, 0.1327817499992001, 0.07573292987314012, -0.058621854259657255, 0.04332824899821204, -0.13324770126162114, 0.17277375500509104, 0.050368435112182544, 0.08781591506543017, 0.30918265359921265, 0.15164938838575528, 0.07445781007491514, 0.15253462014818744, -0.1749657552516236, -0.10393535020241959, -0.2922368285295644, -0.18722780339627948, -0.205558584978293, 0.051291306336092, -0.03641740101648688, -0.20404802544652362, 0.3577844686043836, 0.14174590372393914, 0.20069942076688435, -0.10114356553474589, 0.2062157233218885, 0.11795849138788417, 0.09198817077290629, 0.05966225489809186, 0.23690622024633715, 0.1361152213046212, 0.11617447081870869, -0.278081350718765, -0.041449692815262, 0.07249300424998577] |
712.2004 | A Grand Challenge for Planetary Nebulae | The study of PN has been confronting a growing list of dilemmas which have
yet to find coherent resolution. These issues are both observational and
theoretical and can be stated as a series of "facts" which can not, as of yet,
be accounted for via a single framework. We review these facts and propose a
skeleton framework for developing a new understanding post-AGB stars, PPN and
PN. Our framework represents an attempt to articulate a a global perspective on
the late stages of stellar evolution that can embrace both the nature of the
central engine and the outflows they produce. Our framework focuses on
interacting binary central stars which drive collimated outflows through MHD
processes. We propose that the field of AGB/PN studies now faces a "Grand
Challenge" in articulating the observational systematics of these objects in a
way that can address issues related to binarity and magnetic shaping. A
theoretical Grand Challenge is also faced in the form of integrated studies
which can explicate the highly non-linear processes associated with MHD
outflows driven by interacting binaries. These issues include the generation of
magnetic fields via dynamo processes, the creation of accretion disks, the
dynamics of Common Envelope ejection and the creation of magnetized jets.
| astro-ph | the study of pn has been confronting a growing list of dilemmas which have yet to find coherent resolution these issues are both observational and theoretical and can be stated as a series of facts which can not as of yet be accounted for via a single framework we review these facts and propose a skeleton framework for developing a new understanding postagb stars ppn and pn our framework represents an attempt to articulate a a global perspective on the late stages of stellar evolution that can embrace both the nature of the central engine and the outflows they produce our framework focuses on interacting binary central stars which drive collimated outflows through mhd processes we propose that the field of agbpn studies now faces a grand challenge in articulating the observational systematics of these objects in a way that can address issues related to binarity and magnetic shaping a theoretical grand challenge is also faced in the form of integrated studies which can explicate the highly nonlinear processes associated with mhd outflows driven by interacting binaries these issues include the generation of magnetic fields via dynamo processes the creation of accretion disks the dynamics of common envelope ejection and the creation of magnetized jets | [['the', 'study', 'of', 'pn', 'has', 'been', 'confronting', 'a', 'growing', 'list', 'of', 'dilemmas', 'which', 'have', 'yet', 'to', 'find', 'coherent', 'resolution', 'these', 'issues', 'are', 'both', 'observational', 'and', 'theoretical', 'and', 'can', 'be', 'stated', 'as', 'a', 'series', 'of', 'facts', 'which', 'can', 'not', 'as', 'of', 'yet', 'be', 'accounted', 'for', 'via', 'a', 'single', 'framework', 'we', 'review', 'these', 'facts', 'and', 'propose', 'a', 'skeleton', 'framework', 'for', 'developing', 'a', 'new', 'understanding', 'postagb', 'stars', 'ppn', 'and', 'pn', 'our', 'framework', 'represents', 'an', 'attempt', 'to', 'articulate', 'a', 'a', 'global', 'perspective', 'on', 'the', 'late', 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'dynamo', 'processes', 'the', 'creation', 'of', 'accretion', 'disks', 'the', 'dynamics', 'of', 'common', 'envelope', 'ejection', 'and', 'the', 'creation', 'of', 'magnetized', 'jets']] | [-0.11632171531228404, 0.11280135775514817, -0.09299842864001061, 0.10350996228425727, -0.1075386752639258, -0.06843033317001719, 0.005661037935437087, 0.37581051326931486, -0.23537520055805206, -0.3254205364706543, 0.09172972901119376, -0.22208575155430785, -0.12050252903581542, 0.21622419912441104, -0.04885621765153665, 0.011542928265864212, 0.08710551318854057, -0.0770014145128502, -0.013803351049051237, -0.21317377378342345, 0.3571571732201276, 0.06151012388770195, 0.18946373906025352, 0.010995353166899625, 0.07696930222742844, -0.1000053177007894, -0.047365848237520776, 0.010544562771660732, -0.10970655030295721, 0.12647317061155086, 0.25918270071384075, 0.1619693303113237, 0.29699165283098267, -0.4555735931293491, -0.2635952789489381, 0.04256859710171828, 0.19800512564403355, 0.08983292221319954, 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712.2005 | Structure and Magnetic Fields in the Precessing Jet System SS 433 I.
Multi-Frequency Imaging from 1998 | The Very Large Array has been used at five frequencies to study the structure
and linear polarization of SS433 on scales as small as ~0.1" ~ 500 AU. Each jet
consists of a sharp, curving ridge-line at the leading edge, plus significant
trailing off-jet emission, showing that they are enveloped by diffuse
relativistic plasma. No kinematic model with constant jet speed fits our images
on all scales, but they are consistent with variations in jet speed of around
10% around the optical value. Our images show continuous jets with bright
components occurring simultaneously in the two jets roughly every 35 days. When
corrected for projection effects and Doppler boosting, the intensities of the
two jets are intrinsically very similar. Fractional linear polarization up to
20% is present along the ridge-lines, while the core is essentially
unpolarized. The rotation measures are consistent with a foreground screen with
RM ~ +110 radians per meter squared, plus a larger, asymmetrical contribution
close to the core. The apparent magnetic fields in the jets are roughly aligned
with the ridge-lines in most but not all of each jet. The jet is more highly
polarized between the components than in the components themselves, suggesting
that the mechanism that creates them compresses a tangled part of the magnetic
field into a partially-ordered transverse layer. The off-jet emission is
remarkably highly polarized, with m ~ 50% in places, suggesting large-scale
order of the magnetic field surrounding the jets. This polarized signal may
confuse the determination of magnetic field orientations in the jets
themselves. However, the images are consistent with a jet magnetic field that
is everywhere parallel to the helices.
| astro-ph | the very large array has been used at five frequencies to study the structure and linear polarization of ss433 on scales as small as 01 500 au each jet consists of a sharp curving ridgeline at the leading edge plus significant trailing offjet emission showing that they are enveloped by diffuse relativistic plasma no kinematic model with constant jet speed fits our images on all scales but they are consistent with variations in jet speed of around 10 around the optical value our images show continuous jets with bright components occurring simultaneously in the two jets roughly every 35 days when corrected for projection effects and doppler boosting the intensities of the two jets are intrinsically very similar fractional linear polarization up to 20 is present along the ridgelines while the core is essentially unpolarized the rotation measures are consistent with a foreground screen with rm 110 radians per meter squared plus a larger asymmetrical contribution close to the core the apparent magnetic fields in the jets are roughly aligned with the ridgelines in most but not all of each jet the jet is more highly polarized between the components than in the components themselves suggesting that the mechanism that creates them compresses a tangled part of the magnetic field into a partiallyordered transverse layer the offjet emission is remarkably highly polarized with m 50 in places suggesting largescale order of the magnetic field surrounding the jets this polarized signal may confuse the determination of magnetic field orientations in the jets themselves however the images are consistent with a jet magnetic field that is everywhere parallel to the helices | [['the', 'very', 'large', 'array', 'has', 'been', 'used', 'at', 'five', 'frequencies', 'to', 'study', 'the', 'structure', 'and', 'linear', 'polarization', 'of', 'ss433', 'on', 'scales', 'as', 'small', 'as', '01', '500', 'au', 'each', 'jet', 'consists', 'of', 'a', 'sharp', 'curving', 'ridgeline', 'at', 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-0.10589124081300551, 0.03442130330170649, -0.12786328480550618, -0.13780483355648007, 0.38551098913345, 0.09636180618110118, 0.2548760600913009, 0.005875269998360272, 0.33695696476386505, 0.07071382144953504, 0.12886678247210268, 0.17123357997258884, 0.3095584463001986, 0.16874062567896975, 0.11268745724125748, -0.16912867898236583, 0.06933265212968634, -0.030351122043336207] |
712.2006 | On one uniqueness theorem for M. Rietz potentials | We prove that there exists a nonzero holderian real-to-real function
vanishing together with its M. Rietz potential in all points of some set of
positive length. This result improves the one of D. Beliaev and V. Havin. We
also extend the results to multidimensional M. Rietz potentials.
| math.CV math-ph math.CA math.MP | we prove that there exists a nonzero holderian realtoreal function vanishing together with its m rietz potential in all points of some set of positive length this result improves the one of d beliaev and v havin we also extend the results to multidimensional m rietz potentials | [['we', 'prove', 'that', 'there', 'exists', 'a', 'nonzero', 'holderian', 'realtoreal', 'function', 'vanishing', 'together', 'with', 'its', 'm', 'rietz', 'potential', 'in', 'all', 'points', 'of', 'some', 'set', 'of', 'positive', 'length', 'this', 'result', 'improves', 'the', 'one', 'of', 'd', 'beliaev', 'and', 'v', 'havin', 'we', 'also', 'extend', 'the', 'results', 'to', 'multidimensional', 'm', 'rietz', 'potentials']] | [-0.21961678062444148, 0.10171169711722304, -0.044575127044125744, 0.010295007061516948, -0.037921355217290315, -0.17381986358162502, 0.08286743631343478, 0.3088885666397603, -0.23700627789873144, -0.1946141606034792, 0.032387688166320164, -0.30976517291982536, -0.16204046343615197, 0.18054635190081014, -0.0637540903509311, 0.022292362848732053, 0.05709006405516487, 0.05574860402671418, -0.0840629227510046, -0.3095930533321655, 0.3356392376286828, -0.05629556613933781, 0.13778861998276704, 0.12285944418576748, 0.11840709756411937, 0.022086656247468098, -0.024779329825516627, 0.03455802707163536, -0.20948667373364593, 0.08195966388017911, 0.19455029977404553, 0.11471889141197923, 0.28872435244367173, -0.3170029221345549, -0.1790347073186675, 0.18728657102252802, 0.07009275227218219, 0.058183561322157795, -0.031351587978070194, -0.22158958289124395, 0.16998430841561893, -0.12489009986672064, -0.21310379592013423, -0.055044220922433815, 0.11702103231547643, 0.05978334642460813, -0.2835422416582056, 0.04055872026504442, 0.1344011116610921, 0.027885495740717844, -0.08687855520174312, -0.2003941073426572, -0.035712600680594536, 0.09844268305713068, 0.050500210182255374, 0.11528565689830271, 0.002452299181047989, -0.057639849913792444, -0.06814892631550522, 0.2973320940104516, -0.15761341636433548, -0.2090059109032154, 0.17822761754707797, -0.19365354385429426, -0.11925522657111287, 0.09695794849919723, 0.06763783411082366, 0.10889330032565024, -0.04039426648017505, 0.17721787807607578, -0.10526938347712807, 0.10701828016697065, 0.1214417259046889, 0.021799771712445046, 0.10090071829440801, 0.0721586970511176, 0.13137673321382506, 0.09148483108425431, -0.01745480066165328, -0.008145517578510486, -0.36740916805422824, -0.15408143018493833, -0.20116786529441646, 0.09232941950144975, -0.12041245288507882, -0.15927586202388225, 0.3497042530823661, 0.1283451153178011, 0.2689138979792757, 0.10853411929438943, 0.1938545629660518, 0.10619340028959255, 0.03468604998298637, 0.0971587895942123, 0.14791191099325457, 0.14287785788663945, 0.08103955965286688, -0.18734420726642662, -0.042994651548645416, 0.10237454669550061] |
712.2007 | Stability of peakons for the Degasperis-Procesi equation | The Degasperis-Procesi equation can be derived as a member of a one-parameter
family of asymptotic shallow water approximations to the Euler equations with
the same asymptotic accuracy as that of the Camassa-Holm equation. In this
paper, we study the orbital stability problem of the peaked solitons to the
Degasperis-Procesi equation on the line. By constructing a Liapunov function,
we prove that the shapes of these peakon solitons are stable under small
perturbations.
| math.AP math-ph math.MP | the degasperisprocesi equation can be derived as a member of a oneparameter family of asymptotic shallow water approximations to the euler equations with the same asymptotic accuracy as that of the camassaholm equation in this paper we study the orbital stability problem of the peaked solitons to the degasperisprocesi equation on the line by constructing a liapunov function we prove that the shapes of these peakon solitons are stable under small perturbations | [['the', 'degasperisprocesi', 'equation', 'can', 'be', 'derived', 'as', 'a', 'member', 'of', 'a', 'oneparameter', 'family', 'of', 'asymptotic', 'shallow', 'water', 'approximations', 'to', 'the', 'euler', 'equations', 'with', 'the', 'same', 'asymptotic', 'accuracy', 'as', 'that', 'of', 'the', 'camassaholm', 'equation', 'in', 'this', 'paper', 'we', 'study', 'the', 'orbital', 'stability', 'problem', 'of', 'the', 'peaked', 'solitons', 'to', 'the', 'degasperisprocesi', 'equation', 'on', 'the', 'line', 'by', 'constructing', 'a', 'liapunov', 'function', 'we', 'prove', 'that', 'the', 'shapes', 'of', 'these', 'peakon', 'solitons', 'are', 'stable', 'under', 'small', 'perturbations']] | [-0.17865818988583568, 0.020868518803682592, -0.1295752034509658, 0.09031084294191613, -0.08262939833932453, -0.11935591094273452, -0.025961955018121645, 0.2866865268184079, -0.2765846216740708, -0.23266786918975413, 0.11297672045798714, -0.2750936678526664, -0.15204631877390462, 0.1594291355059896, -0.021945084115335096, 0.10484870878927824, 0.09220489468619537, 0.0006538908087855412, -0.10527867217832762, -0.2298039017089953, 0.3747733419424751, -0.03330259016042368, 0.2237449195527006, -0.009844215513213486, 0.14148636349839055, -0.07108838862041011, 0.09795866724905661, -0.015640047922109563, -0.20434113250848895, 0.09397650573292696, 0.23783092324346297, 0.03510968309840084, 0.24931918821918467, -0.3573721078638401, -0.2277235200854193, 0.11901585223596259, 0.19727382385624675, 0.1505960141075775, -0.01683441297144681, -0.3287487521560656, 0.08138528545128389, -0.14462590130925593, -0.28463021177513936, -0.040963454909312226, 0.03154353704303503, 0.1798160381440539, -0.2010419110301882, 0.1244149779732753, 0.10562166760468648, -0.022470694268122315, -0.15950789896952403, -0.08783784570793311, -0.12292273019233511, -0.004190137538696743, 0.0777168654571546, -0.05625563531066291, 0.021446592536651425, -0.14247682779548793, -0.03693332741709633, 0.4060572964137666, -0.16756676065011156, -0.28053719653851455, 0.11569667208176623, -0.09180826091485667, -0.12885943950257367, 0.13950955870677717, 0.17914206155627552, 0.18918877391196373, -0.12611492747803116, 0.07632610070868395, -0.12235605011422497, 0.14009093425961006, 0.1432232698231625, 0.0013187558312589924, 0.14880897218568456, 0.143804023689073, 0.09395326927511229, 0.15353531728841416, -0.04024949298279049, -0.14127638172875676, -0.3147411527008646, -0.14588555586265606, -0.13927893441480896, 0.08002694703625618, -0.10036860196527818, -0.21119699290850097, 0.42696121904171175, 0.07087130265750198, 0.15373260099699515, 0.11858331954054949, 0.20519790099933743, 0.22140636350377463, -0.017704333579685125, 0.08960385878001237, 0.24097805723108146, 0.13077183005063692, 0.10773734192803709, -0.24942388732193244, 0.014293397828522656, 0.1695664466695032] |
712.2008 | Effective Lagrangian approach to fermion electric dipole moments induced
by a CP--violating $WW\gamma$ vertex | The one--loop contribution of the two CP--violating components of the
$WW\gamma$ vertex, $ \tilde{\kappa}_\gamma W^+_\mu W^-_\nu \tilde{F}^{\mu \nu}$
and $(\tilde{\lambda}_\gamma / m^2_W)W^+_{\mu \nu}W^{-\nu}_{\
\rho}\tilde{F}^{\rho \mu}$, on the electric dipole moment (EDM) of fermions is
calculated using dimensional regularization and its impact at low energies
reexamined in the light of the decoupling theorem. The Ward identities
satisfied by these couplings are derived by adopting a $SU_L(2)\times
U_Y(1)$--invariant approach and their implications in radiative corrections
discussed. Previous results on $\tilde{\kappa}_\gamma$, whose bound is updated
to $|\tilde{\kappa}_\gamma| <5.2\times 10^{-5}$, are reproduced, but
disagreement with those existing for $\tilde{\lambda}_\gamma$ is found. In
particular, the upper bound $|\tilde{\lambda}_\gamma|<1.9\times10^{-2}$ is
found from the limit on the neutron EDM, which is more than 2 orders of
magnitude less stringent than that of previous results. It is argued that this
difference between the $\tilde{\kappa}_\gamma$ and $\tilde{\lambda}_\gamma$
bounds is the one that might be expected in accordance with the decoupling
theorem. This argument is reinforced by analyzing careful the low--energy
behavior of the loop functions. The upper bounds on the $W$ EDM,
$|d_W|<6.2\times 10^{-21} e\cdot cm$, and the magnetic quadrupole moment,
$|\tilde{Q}_W|<3\times 10^{-36} e\cdot cm^2$, are derived. The EDM of the
second and third families of quarks and charged leptons are estimated. In
particular, EDM as large as $ 10^{-20} e\cdot cm$ and $10^{-21} e\cdot cm$ are
found for the $t$ and $b$ quarks, respectively.
| hep-ph | the oneloop contribution of the two cpviolating components of the wwgamma vertex tildekappa_gamma w_mu w_nu tildefmu nu and tildelambda_gamma m2_ww_mu nuwnu_ rhotildefrho mu on the electric dipole moment edm of fermions is calculated using dimensional regularization and its impact at low energies reexamined in the light of the decoupling theorem the ward identities satisfied by these couplings are derived by adopting a su_l2times u_y1invariant approach and their implications in radiative corrections discussed previous results on tildekappa_gamma whose bound is updated to tildekappa_gamma 52times 105 are reproduced but disagreement with those existing for tildelambda_gamma is found in particular the upper bound tildelambda_gamma19times102 is found from the limit on the neutron edm which is more than 2 orders of magnitude less stringent than that of previous results it is argued that this difference between the tildekappa_gamma and tildelambda_gamma bounds is the one that might be expected in accordance with the decoupling theorem this argument is reinforced by analyzing careful the lowenergy behavior of the loop functions the upper bounds on the w edm d_w62times 1021 ecdot cm and the magnetic quadrupole moment tildeq_w3times 1036 ecdot cm2 are derived the edm of the second and third families of quarks and charged leptons are estimated in particular edm as large as 1020 ecdot cm and 1021 ecdot cm are found for the t and b quarks respectively | [['the', 'oneloop', 'contribution', 'of', 'the', 'two', 'cpviolating', 'components', 'of', 'the', 'wwgamma', 'vertex', 'tildekappa_gamma', 'w_mu', 'w_nu', 'tildefmu', 'nu', 'and', 'tildelambda_gamma', 'm2_ww_mu', 'nuwnu_', 'rhotildefrho', 'mu', 'on', 'the', 'electric', 'dipole', 'moment', 'edm', 'of', 'fermions', 'is', 'calculated', 'using', 'dimensional', 'regularization', 'and', 'its', 'impact', 'at', 'low', 'energies', 'reexamined', 'in', 'the', 'light', 'of', 'the', 'decoupling', 'theorem', 'the', 'ward', 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712.2009 | Behavior of Ising Spin Glasses in a Magnetic Field | We study the existence of a spin-glass phase in a field using Monte Carlo
simulations performed along a nontrivial path in the field--temperature plane
that must cross any putative de Almeida-Thouless instability line. The method
is first tested on the Ising spin glass on a Bethe lattice where the
instability line separating the spin glass from the paramagnetic state is also
computed analytically. While the instability line is reproduced by our
simulations on the mean-field Bethe lattice, no such instability line can be
found numerically for the short-range three-dimensional model.
| cond-mat.dis-nn | we study the existence of a spinglass phase in a field using monte carlo simulations performed along a nontrivial path in the fieldtemperature plane that must cross any putative de almeidathouless instability line the method is first tested on the ising spin glass on a bethe lattice where the instability line separating the spin glass from the paramagnetic state is also computed analytically while the instability line is reproduced by our simulations on the meanfield bethe lattice no such instability line can be found numerically for the shortrange threedimensional model | [['we', 'study', 'the', 'existence', 'of', 'a', 'spinglass', 'phase', 'in', 'a', 'field', 'using', 'monte', 'carlo', 'simulations', 'performed', 'along', 'a', 'nontrivial', 'path', 'in', 'the', 'fieldtemperature', 'plane', 'that', 'must', 'cross', 'any', 'putative', 'de', 'almeidathouless', 'instability', 'line', 'the', 'method', 'is', 'first', 'tested', 'on', 'the', 'ising', 'spin', 'glass', 'on', 'a', 'bethe', 'lattice', 'where', 'the', 'instability', 'line', 'separating', 'the', 'spin', 'glass', 'from', 'the', 'paramagnetic', 'state', 'is', 'also', 'computed', 'analytically', 'while', 'the', 'instability', 'line', 'is', 'reproduced', 'by', 'our', 'simulations', 'on', 'the', 'meanfield', 'bethe', 'lattice', 'no', 'such', 'instability', 'line', 'can', 'be', 'found', 'numerically', 'for', 'the', 'shortrange', 'threedimensional', 'model']] | [-0.16889143798293338, 0.16389795660248233, -0.09662219521900019, 0.07155298362874116, -0.04376441579208606, -0.10781436610139078, 0.030628947427289353, 0.39115758362329667, -0.18696998074236842, -0.1967975293079184, 0.10834828903122494, -0.27743440036946493, -0.11210965834971931, 0.16168244193152834, 0.13898351077093846, 0.04481986463069916, 0.030953653195562463, -0.004001240328782135, -0.11500211431282675, -0.18184617099662623, 0.30572239264276707, 0.02031521184835583, 0.28645499442807504, 0.04109735258130564, 0.04295514661611782, 0.03457651190563209, 0.11619889362353003, 0.07847625388660365, -0.21832619894905494, -0.024190040212124585, 0.20414665725030418, -0.002956212731078267, 0.13993870919156406, -0.40829380823092326, -0.2504811719318645, 0.09338766480796039, 0.2033869101976355, 0.18469876195562795, -0.024379593423671193, -0.3056721486151218, 0.042305292571998304, -0.14822030045195586, -0.17127267596725787, -0.05399450170290139, -0.05933268702873546, -0.005017181615888451, -0.22905515348280056, 0.07522003056914804, 0.03858086056231211, 0.12789261562542784, -0.059735848283809095, -0.09746953081339597, -0.10960264532671621, 0.02818817130238232, -0.00018106490335614782, 0.10138482662279986, 0.1093114382535633, -0.09791445939077272, -0.1716320962541633, 0.34555009334451625, -0.036732782361408076, -0.15485645104199647, 0.15698168178916805, -0.15082826082491213, -0.10251979156035101, 0.22187357481776013, 0.09584542641209232, 0.11147469477728009, -0.11160059351370566, 0.09763731052193583, -0.04719256461701459, 0.19236727722454816, -0.01887738834031754, -0.13251836910559278, 0.2584049381701334, 0.17070514719105429, -0.020120104174647067, 0.18565135609953562, -0.13268513617674924, -0.21591559693139667, -0.2874836069725764, -0.1336346824860407, -0.26080395457878086, 0.04407104947086837, -0.11616866745365163, -0.20782824279740453, 0.35760288736265566, 0.19110577502287923, 0.17921823329654418, 0.001517346159865459, 0.2642913879826665, 0.1215380708182541, 0.02032663725161304, 0.06284976302025219, 0.26886945420669184, 0.1530631671116377, 0.07743841992018538, -0.3266891591483727, 0.045051039170680776, 0.12991104080445237] |
712.201 | On the ODE/IM correspondence for minimal models | Within the framework of the ODE/IM correspondence, we show that the minimal
conformal field theories with c<1 emerge naturally from the monodromy
properties of certain families of ordinary differential equations.
| hep-th cond-mat.stat-mech math-ph math.MP math.QA quant-ph | within the framework of the odeim correspondence we show that the minimal conformal field theories with c1 emerge naturally from the monodromy properties of certain families of ordinary differential equations | [['within', 'the', 'framework', 'of', 'the', 'odeim', 'correspondence', 'we', 'show', 'that', 'the', 'minimal', 'conformal', 'field', 'theories', 'with', 'c1', 'emerge', 'naturally', 'from', 'the', 'monodromy', 'properties', 'of', 'certain', 'families', 'of', 'ordinary', 'differential', 'equations']] | [-0.1845063007126252, 0.10807898103569945, -0.1188732797279954, 0.06671363053222497, -0.06505284396310647, -0.11134938492129247, -0.0854017147483925, 0.23011193479566525, -0.3323957567413648, -0.3023980714380741, 0.04989872753309707, -0.26109239403158424, -0.24664768452445665, 0.14758389263103405, -0.06143062795357158, 0.063960452315708, 0.0018546419256987672, 0.09684788001080354, -0.16770234485932936, -0.2207863239881893, 0.4249442547559738, -0.11576999624570211, 0.2541062928115328, -0.02001112811267376, 0.12394169814263781, -0.015747574002792437, 0.04842425319366157, 0.0325937256605054, -0.14792874872340084, 0.18127497943739096, 0.2587658571700255, 0.10748991463333368, 0.1391662726799647, -0.44223837504784264, -0.2383653595733146, 0.09724391782656312, 0.08988321187595526, 0.10744526414200664, -0.0574194631461675, -0.30224356707185507, 0.07151695815846323, -0.1430219750230511, -0.2178145080494384, -0.05128838784682254, -0.06208607549391066, 0.03263729174310962, -0.1985459086795648, 0.07961561963117371, 0.07471861553688844, 0.0787609678072234, -0.07157070528094968, -0.011619084374979138, -0.11089235413819551, 0.05629356522113085, 0.08717753007270707, -0.035845896167059736, 0.07074392079375684, -0.17412201886375744, -0.11916060876101256, 0.3568066709985336, -0.12695266573379438, -0.20042073279619216, 0.14569317897160847, -0.17277396752809485, -0.2097490842298915, 0.10589235609707733, 0.09036333882249892, 0.1889605377179881, -0.11926156071325143, 0.2242536261677742, -0.11736057003339131, 0.07961504124104976, 0.06152374990439664, 0.017647003553186855, 0.24243091158568858, 0.04302925157050292, 0.015780358823637167, 0.12765311263501644, 0.05035773826142152, -0.1898647204662363, -0.45940763552983604, -0.1581356631902357, -0.006237823267777761, 0.08831013146943102, -0.1513027060466508, -0.19547643934686978, 0.40252578215052687, 0.14563316888088593, 0.20847540814429522, 0.11374075499673685, 0.14994614360233147, 0.139091756939888, 0.120775674469769, 0.027072739022939156, 0.2137242760664473, 0.23648395584896206, 0.0034205750678665938, -0.22454134023282676, -0.11676206636281374, 0.17407674373437962] |
712.2011 | Wigner Surmise For Domain Systems | In random matrix theory, the spacing distribution functions $p^{(n)}(s)$ are
well fitted by the Wigner surmise and its generalizations. In this
approximation the spacing functions are completely described by the behavior of
the exact functions in the limits s->0 and s->infinity. Most non equilibrium
systems do not have analytical solutions for the spacing distribution and
correlation functions. Because of that, we explore the possibility to use the
Wigner surmise approximation in these systems. We found that this approximation
provides a first approach to the statistical behavior of complex systems, in
particular we use it to find an analytical approximation to the nearest
neighbor distribution of the annihilation random walk.
| cond-mat.stat-mech | in random matrix theory the spacing distribution functions pns are well fitted by the wigner surmise and its generalizations in this approximation the spacing functions are completely described by the behavior of the exact functions in the limits s0 and sinfinity most non equilibrium systems do not have analytical solutions for the spacing distribution and correlation functions because of that we explore the possibility to use the wigner surmise approximation in these systems we found that this approximation provides a first approach to the statistical behavior of complex systems in particular we use it to find an analytical approximation to the nearest neighbor distribution of the annihilation random walk | [['in', 'random', 'matrix', 'theory', 'the', 'spacing', 'distribution', 'functions', 'pns', 'are', 'well', 'fitted', 'by', 'the', 'wigner', 'surmise', 'and', 'its', 'generalizations', 'in', 'this', 'approximation', 'the', 'spacing', 'functions', 'are', 'completely', 'described', 'by', 'the', 'behavior', 'of', 'the', 'exact', 'functions', 'in', 'the', 'limits', 's0', 'and', 'sinfinity', 'most', 'non', 'equilibrium', 'systems', 'do', 'not', 'have', 'analytical', 'solutions', 'for', 'the', 'spacing', 'distribution', 'and', 'correlation', 'functions', 'because', 'of', 'that', 'we', 'explore', 'the', 'possibility', 'to', 'use', 'the', 'wigner', 'surmise', 'approximation', 'in', 'these', 'systems', 'we', 'found', 'that', 'this', 'approximation', 'provides', 'a', 'first', 'approach', 'to', 'the', 'statistical', 'behavior', 'of', 'complex', 'systems', 'in', 'particular', 'we', 'use', 'it', 'to', 'find', 'an', 'analytical', 'approximation', 'to', 'the', 'nearest', 'neighbor', 'distribution', 'of', 'the', 'annihilation', 'random', 'walk']] | [-0.0985085820552782, 0.08370668613130265, -0.13152787318333573, 0.138705858655291, 0.004692024228786794, -0.07899239469627174, 0.07197659456175368, 0.38375911417357417, -0.2519294528446562, -0.24206952689164277, 0.06553207241626748, -0.29436749172046645, -0.183273729124884, 0.1216154502578712, 0.03963697106158788, 0.08574155628854203, 0.014318712012961917, 0.00356891805972528, -0.11193891178385072, -0.22524601567126468, 0.30811469842585815, 0.04110337660376649, 0.2677772875913684, 0.024727900909823835, 0.023971046513339523, 0.03618381337749712, 0.009579428796306116, -0.03581048391861927, -0.12527892281263406, 0.08758952248405767, 0.1941765916593578, 0.08454071204904295, 0.2534386438719176, -0.38850348989624495, -0.1979659519867476, 0.10668086742025314, 0.1910557356757035, 0.1129858542880932, -0.015865781471034974, -0.25111157853805693, 0.05936911524863008, -0.19648227589461234, -0.2048069567018009, -0.11178901474474323, 0.02990763252088373, 0.09172182736508207, -0.2591093470205749, 0.10978234266657211, 0.054834089106282034, -0.0065829141424336565, -0.06410945310586329, -0.1399732401568887, 0.04204596102092449, 0.1294990301755932, 0.018260571383657533, -0.00847682099652673, 0.08181819149053766, -0.11547205816322101, -0.08976448705118713, 0.3869637266536235, -0.05432428472564308, -0.2628324402308245, 0.17914148247501718, -0.22268858665617508, -0.13226402112616037, 0.08932596961155943, 0.15067906841452003, 0.10304890092838248, -0.16490702101172572, 0.07709887458729492, -0.0245598218907867, 0.13375053694898928, 0.039342231527312636, 0.01856984233231617, 0.1823386678668679, 0.0871589247269744, 0.03896733441330288, 0.13860247372179677, -0.05080669462133985, -0.17938493422463264, -0.2717379177236981, -0.08788966812052414, -0.23999637214962496, 0.05050789238684789, -0.10140529720055541, -0.21337339309377407, 0.3876842708506305, 0.1615578854251482, 0.20759953870309875, 0.10782480117899083, 0.251558816590167, 0.1807799767702818, 0.033639481684210104, 0.07328972359051193, 0.24986613100958527, 0.17506045796438505, 0.06911442257515198, -0.1984812809739672, 0.07271176969649595, 0.06222057054588281] |
712.2012 | Low-temperature scanning tunneling microscopy of ring-like surface
electronic structures around Co islands on InAs(110) surfaces | We report on the experimental observation by scanning tunneling microscopy at
low temperature of ring-like features that appear around Co metal clusters
deposited on a clean (110) oriented surface of cleaved p-type InAs crystals.
These features are visible in spectroscopic images within a certain range of
negative tunneling bias voltages due to the presence of a negative differential
conductance in the current-voltage dependence. A theoretical model is
introduced, which takes into account non-equilibrium effects in the small
tunneling junction area. In the framework of this model the appearance of the
ring-like features is explained in terms of interference effects between
electrons tunneling directly and indirectly (via a Co island) between the tip
and the InAs surface.
| cond-mat.mtrl-sci | we report on the experimental observation by scanning tunneling microscopy at low temperature of ringlike features that appear around co metal clusters deposited on a clean 110 oriented surface of cleaved ptype inas crystals these features are visible in spectroscopic images within a certain range of negative tunneling bias voltages due to the presence of a negative differential conductance in the currentvoltage dependence a theoretical model is introduced which takes into account nonequilibrium effects in the small tunneling junction area in the framework of this model the appearance of the ringlike features is explained in terms of interference effects between electrons tunneling directly and indirectly via a co island between the tip and the inas surface | [['we', 'report', 'on', 'the', 'experimental', 'observation', 'by', 'scanning', 'tunneling', 'microscopy', 'at', 'low', 'temperature', 'of', 'ringlike', 'features', 'that', 'appear', 'around', 'co', 'metal', 'clusters', 'deposited', 'on', 'a', 'clean', '110', 'oriented', 'surface', 'of', 'cleaved', 'ptype', 'inas', 'crystals', 'these', 'features', 'are', 'visible', 'in', 'spectroscopic', 'images', 'within', 'a', 'certain', 'range', 'of', 'negative', 'tunneling', 'bias', 'voltages', 'due', 'to', 'the', 'presence', 'of', 'a', 'negative', 'differential', 'conductance', 'in', 'the', 'currentvoltage', 'dependence', 'a', 'theoretical', 'model', 'is', 'introduced', 'which', 'takes', 'into', 'account', 'nonequilibrium', 'effects', 'in', 'the', 'small', 'tunneling', 'junction', 'area', 'in', 'the', 'framework', 'of', 'this', 'model', 'the', 'appearance', 'of', 'the', 'ringlike', 'features', 'is', 'explained', 'in', 'terms', 'of', 'interference', 'effects', 'between', 'electrons', 'tunneling', 'directly', 'and', 'indirectly', 'via', 'a', 'co', 'island', 'between', 'the', 'tip', 'and', 'the', 'inas', 'surface']] | [-0.15259668887351993, 0.12148547080216994, -0.08259366985673908, 0.04142679601349739, -0.006593142050029388, -0.17101165270513116, 0.09497759074067039, 0.3827268020410476, -0.2467509093533816, -0.3651070288575158, -0.05532997362978018, -0.33208283016875645, -0.129569031828051, 0.18503766132374133, 1.0407174503880329e-05, -0.03162169021730921, 0.011196965939798874, -0.09883760945502154, -0.06150109717293225, -0.18953777445030623, 0.2960338880586968, 0.047212443908612275, 0.32002651020242223, 0.13411646883669792, 0.06596585801112112, -0.015355470981689748, 0.06478325749023874, 0.0583937553616626, -0.1491725550739798, 0.04443137738341867, 0.23777285103429238, -0.1139050964686311, 0.1991726428246254, -0.4883452883504074, -0.20856871203808436, -0.027527565907301575, 0.15033714959783287, 0.12981084772237128, -0.08924591025249262, -0.31810336821744667, 0.049120356633873846, -0.06983730061469472, -0.042004545077737744, 0.009860516196630639, -0.020203768253850285, -0.015680884208795133, -0.1959043179903629, 0.1347019699972187, 0.015863510105630446, 0.07899903654570467, -0.06927802702331723, -0.06839679616276609, -0.10157685441462773, 0.05414907030905757, -0.005618802663179693, -0.0034891415170618684, 0.2502193855511121, -0.09684945914918429, -0.07355974523896544, 0.3048592573352929, -0.10044914571937688, -0.09383995294348128, 0.1432265416590561, -0.2375529344265895, -0.05062514217570424, 0.19116019891125374, 0.12296071641371939, 0.1275469659434246, -0.16821984623173444, 0.0689289806571745, -0.004374751951625763, 0.1383962320838252, 0.10007294793091394, 0.07887028558340309, 0.32643501598644875, 0.20462900089453265, -0.012168348983636704, 0.12538933585967932, -0.2328023713419278, -0.012094995103262621, -0.2555306072844642, -0.1419528259615743, -0.1813738913398742, 0.06550351844233429, -0.0530957767761469, -0.21718672512235634, 0.40198537518655686, 0.11217416479284394, 0.26688966609473375, -0.05639394207211244, 0.31811725668777746, 0.0944815693936985, 0.0999338009378648, -0.03869081598494286, 0.1985312559770356, 0.16520600791033035, 0.10742751022013997, -0.28709166134900316, 0.12994228331081104, -0.03938031698986567] |
712.2013 | Quantum and classical mode softening near the
charge-density-wave/superconductor transition of Cu$_{x}$TiSe$_{2}$: Raman
spectroscopic studies | Temperature- and x-dependent Raman scattering studies of the charge density
wave (CDW) amplitude modes in CuxTiSe2 show that the amplitude mode frequency
omega_o exhibits identical power-law scaling with the reduced temperature,
T/T_CDW, and the reduced Cu content, x/x_c, i.e., omega_o ~ (1 - p)^0.15 for p
= T/T_CDW or x/x_c, suggesting that mode softening is independent of the
control parameter used to approach the CDW transition. We provide evidence that
x-dependent mode softening in CuxTiSe2 is caused by the reduction of the
electron-phonon coupling constant lambda due to expansion of the lattice, and
that x-dependent `quantum' (T ~ 0) mode softening reveals a quantum critical
point within the superconductor phase of CuxTiSe2.
| cond-mat.str-el | temperature and xdependent raman scattering studies of the charge density wave cdw amplitude modes in cuxtise2 show that the amplitude mode frequency omega_o exhibits identical powerlaw scaling with the reduced temperature tt_cdw and the reduced cu content xx_c ie omega_o 1 p015 for p tt_cdw or xx_c suggesting that mode softening is independent of the control parameter used to approach the cdw transition we provide evidence that xdependent mode softening in cuxtise2 is caused by the reduction of the electronphonon coupling constant lambda due to expansion of the lattice and that xdependent quantum t 0 mode softening reveals a quantum critical point within the superconductor phase of cuxtise2 | [['temperature', 'and', 'xdependent', 'raman', 'scattering', 'studies', 'of', 'the', 'charge', 'density', 'wave', 'cdw', 'amplitude', 'modes', 'in', 'cuxtise2', 'show', 'that', 'the', 'amplitude', 'mode', 'frequency', 'omega_o', 'exhibits', 'identical', 'powerlaw', 'scaling', 'with', 'the', 'reduced', 'temperature', 'tt_cdw', 'and', 'the', 'reduced', 'cu', 'content', 'xx_c', 'ie', 'omega_o', '1', 'p015', 'for', 'p', 'tt_cdw', 'or', 'xx_c', 'suggesting', 'that', 'mode', 'softening', 'is', 'independent', 'of', 'the', 'control', 'parameter', 'used', 'to', 'approach', 'the', 'cdw', 'transition', 'we', 'provide', 'evidence', 'that', 'xdependent', 'mode', 'softening', 'in', 'cuxtise2', 'is', 'caused', 'by', 'the', 'reduction', 'of', 'the', 'electronphonon', 'coupling', 'constant', 'lambda', 'due', 'to', 'expansion', 'of', 'the', 'lattice', 'and', 'that', 'xdependent', 'quantum', 't', '0', 'mode', 'softening', 'reveals', 'a', 'quantum', 'critical', 'point', 'within', 'the', 'superconductor', 'phase', 'of', 'cuxtise2']] | [-0.22817473757479872, 0.2668857781393897, -0.07586052512217845, -0.031096060496444502, -0.04386713822993139, -0.14926037640709963, 0.1203895310605211, 0.3354766385541076, -0.24510743092922938, -0.20077526608393306, 0.004171412174279491, -0.3280244572753353, -0.12143086560647048, 0.12801939751731142, 0.10261401856828126, 0.03489368453267075, -0.045602007312256665, 0.006544187459041409, -0.06649864268090044, -0.12575712980525125, 0.3043157739254336, 0.03553540882033606, 0.35025644709489173, 0.0715867400391116, 0.03586749864653462, 0.013778521422119367, 0.0651346271901968, -0.0076119799299963885, -0.19483255529027832, -0.03514259747573219, 0.28707721613325354, -0.05676270288011957, 0.19480412978945033, -0.36926504060448634, -0.22738407610782554, 0.027755915034296256, 0.1684996043708885, 0.09894110420275302, -0.011414582359914978, -0.2130424146030453, 0.052227593665676454, -0.13459081131787526, -0.17456636486042823, -0.06459577383384818, 0.04421172435617163, -0.02758012523963338, -0.30587742143266256, 0.20781519460890974, 0.07538810730690047, 0.052320318198984576, -0.09832883813152356, -0.11091071678148139, -0.0730258979878965, -0.011703620613774373, 0.0951788561196909, 0.11169959587000665, 0.1517385874254008, -0.09457767511318838, -0.05938384606990786, 0.33369723437797455, -0.11821260508815093, -0.06000083890699205, 0.11624723086577086, -0.195908311146888, -0.04800541089138105, 0.22759161435422443, 0.06858025146648287, 0.01047720347220699, -0.032451248154531986, 0.08091426431700321, 0.08069867938216443, 0.27098448941888775, 0.1150956929306544, 0.0840858080779158, 0.18263805578684522, 0.16028078437915871, 0.01462586805047024, 0.09851480443474082, -0.11243669855009232, -0.03152119514221947, -0.27933524715758506, -0.11142847797877732, -0.20605010700611665, 0.05497423768794674, -0.14249520691158804, -0.17349472443262737, 0.3416682094601648, 0.11415018246819576, 0.18986651958631617, -0.01729429481284959, 0.1986567897322987, 0.20939806604846603, 0.07638971925535727, 0.04986614676724587, 0.2759254256551642, 0.1614700325210357, 0.11875818879565313, -0.3766293372737155, 0.01731523841708189, 0.005137248188700704] |
712.2014 | Upper bound on the lightest neutralino mass in the Minimal Non--minimal
Supersymmetric Standard Model | We consider the neutralino sector in the Minimal Non--minimal Supersymmetric
Standard Model (MNSSM). We argue that there exists a theoretical upper bound on
the lightest neutralino mass in the MNSSM. An approximate solution for the mass
of the lightest neutralino is obtained.
| hep-ph | we consider the neutralino sector in the minimal nonminimal supersymmetric standard model mnssm we argue that there exists a theoretical upper bound on the lightest neutralino mass in the mnssm an approximate solution for the mass of the lightest neutralino is obtained | [['we', 'consider', 'the', 'neutralino', 'sector', 'in', 'the', 'minimal', 'nonminimal', 'supersymmetric', 'standard', 'model', 'mnssm', 'we', 'argue', 'that', 'there', 'exists', 'a', 'theoretical', 'upper', 'bound', 'on', 'the', 'lightest', 'neutralino', 'mass', 'in', 'the', 'mnssm', 'an', 'approximate', 'solution', 'for', 'the', 'mass', 'of', 'the', 'lightest', 'neutralino', 'is', 'obtained']] | [-0.12709287855596768, 0.22434869163892776, -0.0030206405845958563, 0.2565497535286427, -0.03941941052852642, -0.16768375366172267, 0.0638749900362676, 0.2842145691226636, -0.1530994852738721, -0.2947494913158672, 0.014568349279995476, -0.291781600742113, 0.014236639941199905, 0.1343061949398058, -0.005463825294836646, 0.07361866640193122, 0.08936314650678209, 0.09407354877995593, -0.06336389703210443, -0.2182952815810928, 0.27619324440491344, -0.040017452534465564, 0.14223818911150807, 0.1439903579829704, 0.0342662659074579, -0.0566664471379703, 0.05428099153297288, -0.17231126511025996, -0.250898192421335, 0.08390819855655234, 0.12621211553258554, 0.1568267183444862, 0.10238314801383586, -0.32585585971883985, -0.16564249202963852, 0.2777588326883103, 0.17173061426728964, 0.051529175734945705, -0.14596837387874811, -0.28211638442285003, 0.0820695995907521, -0.2539326415086786, -0.12971338498893947, 0.004294066240877977, -0.044294128116841115, -0.24972336131724573, -0.3162319917409193, 0.13907118735092117, -0.0617391339591926, -0.09714378064589775, -0.04426768763611714, -0.18890020612161607, -0.14308734708243892, -0.07179760907421864, 0.21087117943291864, -0.04326296347149071, 0.13967197896203115, -0.214565369156411, -0.11965318844609317, 0.41483193156974657, -0.20640530678931446, -0.24263987571577586, 0.10878968074740399, -0.08801481843970362, -0.18674813248660593, 0.0933590688343559, 0.16402534173712843, 0.15012344338798098, -0.13975991902961618, 0.32398971054880393, -0.20622728748380073, 0.24710040523981056, 0.05506674555085954, 0.0011026656720787287, 0.307504486824785, 0.2803575985710181, 0.14608466971133435, 0.05051663278469017, -0.023983737548059297, -0.14637483906976523, -0.44642203496325583, -0.16228972275192582, -0.10634981150672372, -0.00864270921530468, -0.12263569287911412, -0.14874272911055458, 0.35133281101783115, 0.14066651889810428, 0.2242055351712874, 0.09045533476663488, 0.31089292686998043, 0.11450368979768384, 0.013259691585387503, 0.0727137628432718, 0.40389760498267907, 0.13559916719151216, 0.0323709644975939, -0.22488041728779318, -0.08551402189325363, 0.13408254375237794] |
712.2015 | A celestial gamma-ray foreground due to the albedo of small solar system
bodies and a remote probe of the interstellar cosmic ray spectrum | We calculate the gamma-ray albedo flux from cosmic-ray (CR) interactions with
the solid rock and ice in Main Belt asteroids (MBAs), Jovian and Neptunian
Trojan asteroids, and Kuiper Belt objects (KBOs) using the Moon as a template.
We show that the gamma-ray albedo for the Main Belt, Trojans, and Kuiper Belt
strongly depends on the small-body size distribution of each system. Based on
an analysis of the Energetic Gamma Ray Experiment Telescope (EGRET) data we
infer that the diffuse emission from the MBAs, Trojans, and KBOs has an
integrated flux of less than ~6x10^{-6} cm^{-2} s^{-1} (100-500 MeV), which
corresponds to ~12 times the Lunar albedo, and may be detectable by the
forthcoming Gamma Ray Large Area Space Telescope (GLAST). If detected by GLAST,
it can provide unique direct information about the number of small bodies in
each system that is difficult to assess by any other method. Additionally, the
KBO albedo flux can be used to probe the spectrum of CR nuclei at
close-to-interstellar conditions. The orbits of MBAs, Trojans, and KBOs are
distributed near the ecliptic, which passes through the Galactic center and
high Galactic latitudes. Therefore, the asteroid gamma-ray albedo has to be
taken into account when analyzing weak gamma-ray sources close to the ecliptic,
especially near the Galactic center and for signals at high Galactic latitudes,
such as the extragalactic gamma-ray emission. The asteroid albedo spectrum also
exhibits a 511 keV line due to secondary positrons annihilating in the rock.
This may be an important and previously unrecognized celestial foreground for
the INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) observations of
the Galactic 511 keV line emission including the direction of the Galactic
center.
| astro-ph | we calculate the gammaray albedo flux from cosmicray cr interactions with the solid rock and ice in main belt asteroids mbas jovian and neptunian trojan asteroids and kuiper belt objects kbos using the moon as a template we show that the gammaray albedo for the main belt trojans and kuiper belt strongly depends on the smallbody size distribution of each system based on an analysis of the energetic gamma ray experiment telescope egret data we infer that the diffuse emission from the mbas trojans and kbos has an integrated flux of less than 6x106 cm2 s1 100500 mev which corresponds to 12 times the lunar albedo and may be detectable by the forthcoming gamma ray large area space telescope glast if detected by glast it can provide unique direct information about the number of small bodies in each system that is difficult to assess by any other method additionally the kbo albedo flux can be used to probe the spectrum of cr nuclei at closetointerstellar conditions the orbits of mbas trojans and kbos are distributed near the ecliptic which passes through the galactic center and high galactic latitudes therefore the asteroid gammaray albedo has to be taken into account when analyzing weak gammaray sources close to the ecliptic especially near the galactic center and for signals at high galactic latitudes such as the extragalactic gammaray emission the asteroid albedo spectrum also exhibits a 511 kev line due to secondary positrons annihilating in the rock this may be an important and previously unrecognized celestial foreground for the international gammaray astrophysics laboratory integral observations of the galactic 511 kev line emission including the direction of the galactic center | [['we', 'calculate', 'the', 'gammaray', 'albedo', 'flux', 'from', 'cosmicray', 'cr', 'interactions', 'with', 'the', 'solid', 'rock', 'and', 'ice', 'in', 'main', 'belt', 'asteroids', 'mbas', 'jovian', 'and', 'neptunian', 'trojan', 'asteroids', 'and', 'kuiper', 'belt', 'objects', 'kbos', 'using', 'the', 'moon', 'as', 'a', 'template', 'we', 'show', 'that', 'the', 'gammaray', 'albedo', 'for', 'the', 'main', 'belt', 'trojans', 'and', 'kuiper', 'belt', 'strongly', 'depends', 'on', 'the', 'smallbody', 'size', 'distribution', 'of', 'each', 'system', 'based', 'on', 'an', 'analysis', 'of', 'the', 'energetic', 'gamma', 'ray', 'experiment', 'telescope', 'egret', 'data', 'we', 'infer', 'that', 'the', 'diffuse', 'emission', 'from', 'the', 'mbas', 'trojans', 'and', 'kbos', 'has', 'an', 'integrated', 'flux', 'of', 'less', 'than', '6x106', 'cm2', 's1', '100500', 'mev', 'which', 'corresponds', 'to', '12', 'times', 'the', 'lunar', 'albedo', 'and', 'may', 'be', 'detectable', 'by', 'the', 'forthcoming', 'gamma', 'ray', 'large', 'area', 'space', 'telescope', 'glast', 'if', 'detected', 'by', 'glast', 'it', 'can', 'provide', 'unique', 'direct', 'information', 'about', 'the', 'number', 'of', 'small', 'bodies', 'in', 'each', 'system', 'that', 'is', 'difficult', 'to', 'assess', 'by', 'any', 'other', 'method', 'additionally', 'the', 'kbo', 'albedo', 'flux', 'can', 'be', 'used', 'to', 'probe', 'the', 'spectrum', 'of', 'cr', 'nuclei', 'at', 'closetointerstellar', 'conditions', 'the', 'orbits', 'of', 'mbas', 'trojans', 'and', 'kbos', 'are', 'distributed', 'near', 'the', 'ecliptic', 'which', 'passes', 'through', 'the', 'galactic', 'center', 'and', 'high', 'galactic', 'latitudes', 'therefore', 'the', 'asteroid', 'gammaray', 'albedo', 'has', 'to', 'be', 'taken', 'into', 'account', 'when', 'analyzing', 'weak', 'gammaray', 'sources', 'close', 'to', 'the', 'ecliptic', 'especially', 'near', 'the', 'galactic', 'center', 'and', 'for', 'signals', 'at', 'high', 'galactic', 'latitudes', 'such', 'as', 'the', 'extragalactic', 'gammaray', 'emission', 'the', 'asteroid', 'albedo', 'spectrum', 'also', 'exhibits', 'a', '511', 'kev', 'line', 'due', 'to', 'secondary', 'positrons', 'annihilating', 'in', 'the', 'rock', 'this', 'may', 'be', 'an', 'important', 'and', 'previously', 'unrecognized', 'celestial', 'foreground', 'for', 'the', 'international', 'gammaray', 'astrophysics', 'laboratory', 'integral', 'observations', 'of', 'the', 'galactic', '511', 'kev', 'line', 'emission', 'including', 'the', 'direction', 'of', 'the', 'galactic', 'center']] | [-0.04481131777505983, 0.18568332635347773, -0.09159760215848854, 0.14658805600621483, -0.09844070690736936, -0.02647102243690328, 0.01445739579133012, 0.38207147290083493, -0.18977653082375498, -0.38096830001270227, 0.03216535438635302, -0.3350577830963514, -0.013923804790458896, 0.2450446788729592, -0.10302961613982915, -0.005992015534906055, 0.10208345874805343, -0.07972253295540048, 0.06824394862336869, -0.20805737808219749, 0.22647717304316095, 0.17784617344764145, 0.08827181564559314, 0.01713783856989308, 0.10740700002294033, -0.05549085152420131, -0.00539535615296865, -0.08212701172324491, -0.12882354399144375, 0.09885455238378861, 0.2620135969329964, 0.12356321423610842, 0.0989829941754314, 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-0.004610468098385768, -0.22220321250804276, -0.09736690125004811, -0.18063321681523864, 0.0721885374514386, -0.10612468159059063, -0.09976352438325359, 0.3303650795964693, 0.11636253034780648, 0.19951846462759104, -0.0017355027683714234, 0.32509111197834667, 0.01927636154673316, 0.07824395604770291, 0.13832472593375397, 0.37384059586646884, 0.0950757918481461, 0.08883071680045264, -0.19276821776208553, 0.1003795417601412, -0.016427789803763682] |
712.2016 | The Role of the Guide Field in Relativistic Pair Plasma Reconnection | We study the role of the guide field in relativistic magnetic reconnection in
a Harris current sheet of pair ($e^{\pm}$) plasmas, using linear theories and
particle-in-cell (PIC) simulations. Two-dimensional PIC simulations exhibit the
guide field dependence to the linear instabilities; the tearing or reconnection
modes are relatively insensitive, while the relativistic drift-kink instability
(RDKI), the fastest mode in a relativistic current sheet, is stabilized by the
guide field. Particle acceleration in the nonlinear stage is also investigated.
A three-dimensional PIC simulation demonstrates that the current sheet is
unstable to the RDKI, although small reconnection occurs in the deformed
current sheet. Another three-dimensional PIC simulation with a guide field
demonstrates a completely different scenario. Secondary magnetic reconnection
is triggered by nonlinear coupling of oblique instabilities, which we call the
relativistic drift-sausage tearing instability. Therefore, particle
acceleration by relativistic guide field reconnection occurs in
three-dimensional configuration. Based on the plasma theories, we discuss an
important role of the guide field: to enable non-thermal particle acceleration
by magnetic reconnection.
| astro-ph | we study the role of the guide field in relativistic magnetic reconnection in a harris current sheet of pair epm plasmas using linear theories and particleincell pic simulations twodimensional pic simulations exhibit the guide field dependence to the linear instabilities the tearing or reconnection modes are relatively insensitive while the relativistic driftkink instability rdki the fastest mode in a relativistic current sheet is stabilized by the guide field particle acceleration in the nonlinear stage is also investigated a threedimensional pic simulation demonstrates that the current sheet is unstable to the rdki although small reconnection occurs in the deformed current sheet another threedimensional pic simulation with a guide field demonstrates a completely different scenario secondary magnetic reconnection is triggered by nonlinear coupling of oblique instabilities which we call the relativistic driftsausage tearing instability therefore particle acceleration by relativistic guide field reconnection occurs in threedimensional configuration based on the plasma theories we discuss an important role of the guide field to enable nonthermal particle acceleration by magnetic reconnection | [['we', 'study', 'the', 'role', 'of', 'the', 'guide', 'field', 'in', 'relativistic', 'magnetic', 'reconnection', 'in', 'a', 'harris', 'current', 'sheet', 'of', 'pair', 'epm', 'plasmas', 'using', 'linear', 'theories', 'and', 'particleincell', 'pic', 'simulations', 'twodimensional', 'pic', 'simulations', 'exhibit', 'the', 'guide', 'field', 'dependence', 'to', 'the', 'linear', 'instabilities', 'the', 'tearing', 'or', 'reconnection', 'modes', 'are', 'relatively', 'insensitive', 'while', 'the', 'relativistic', 'driftkink', 'instability', 'rdki', 'the', 'fastest', 'mode', 'in', 'a', 'relativistic', 'current', 'sheet', 'is', 'stabilized', 'by', 'the', 'guide', 'field', 'particle', 'acceleration', 'in', 'the', 'nonlinear', 'stage', 'is', 'also', 'investigated', 'a', 'threedimensional', 'pic', 'simulation', 'demonstrates', 'that', 'the', 'current', 'sheet', 'is', 'unstable', 'to', 'the', 'rdki', 'although', 'small', 'reconnection', 'occurs', 'in', 'the', 'deformed', 'current', 'sheet', 'another', 'threedimensional', 'pic', 'simulation', 'with', 'a', 'guide', 'field', 'demonstrates', 'a', 'completely', 'different', 'scenario', 'secondary', 'magnetic', 'reconnection', 'is', 'triggered', 'by', 'nonlinear', 'coupling', 'of', 'oblique', 'instabilities', 'which', 'we', 'call', 'the', 'relativistic', 'driftsausage', 'tearing', 'instability', 'therefore', 'particle', 'acceleration', 'by', 'relativistic', 'guide', 'field', 'reconnection', 'occurs', 'in', 'threedimensional', 'configuration', 'based', 'on', 'the', 'plasma', 'theories', 'we', 'discuss', 'an', 'important', 'role', 'of', 'the', 'guide', 'field', 'to', 'enable', 'nonthermal', 'particle', 'acceleration', 'by', 'magnetic', 'reconnection']] | [-0.19498146529817445, 0.23723620548077054, 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0.3232520634364901, 0.19250798298215324, 0.14568025689769648, -0.2906750054028111, -0.01645590705571301, 0.10610609831232014] |
712.2017 | The relation between stellar populations, structure and environment for
dwarf elliptical galaxies from the MAGPOP-ITP | Dwarf galaxies, as the most numerous type of galaxy, offer the potential to
study galaxy formation and evolution in detail in the nearby Universe. Although
they seem to be simple systems at first view, they remain poorly understood. In
an attempt to alleviate this situation, the MAGPOP EU Research and Training
Network embarked on a study of dwarf galaxies named MAGPOP-ITP (Peletier et
al., 2007). In this paper, we present the analysis of a sample of 24 dwarf
elliptical galaxies (dEs) in the Virgo Cluster and in the field, using optical
long-slit spectroscopy. We examine their stellar populations in combination
with their light distribution and environment. We confirm and strengthen
previous results that dEs are, on average, younger and more metal-poor than
normal elliptical galaxies, and that their [alpha/Fe] abundance ratios scatter
around solar. This is in accordance with the downsizing picture of galaxy
formation where mass is the main driver for the star formation history. We also
find new correlations between the luminosity-weighted mean age, the large-scale
asymmetry, and the projected Virgocentric distance. We find that environment
plays an important role in the termination of the star formation activity by
ram pressure stripping of the gas in short timescales, and in the
transformation of disky dwarfs to more spheroidal objects by harassment over
longer timescales. This points towards a continuing infall scenario for the
evolution of dEs.
| astro-ph | dwarf galaxies as the most numerous type of galaxy offer the potential to study galaxy formation and evolution in detail in the nearby universe although they seem to be simple systems at first view they remain poorly understood in an attempt to alleviate this situation the magpop eu research and training network embarked on a study of dwarf galaxies named magpopitp peletier et al 2007 in this paper we present the analysis of a sample of 24 dwarf elliptical galaxies des in the virgo cluster and in the field using optical longslit spectroscopy we examine their stellar populations in combination with their light distribution and environment we confirm and strengthen previous results that des are on average younger and more metalpoor than normal elliptical galaxies and that their alphafe abundance ratios scatter around solar this is in accordance with the downsizing picture of galaxy formation where mass is the main driver for the star formation history we also find new correlations between the luminosityweighted mean age the largescale asymmetry and the projected virgocentric distance we find that environment plays an important role in the termination of the star formation activity by ram pressure stripping of the gas in short timescales and in the transformation of disky dwarfs to more spheroidal objects by harassment over longer timescales this points towards a continuing infall scenario for the evolution of des | [['dwarf', 'galaxies', 'as', 'the', 'most', 'numerous', 'type', 'of', 'galaxy', 'offer', 'the', 'potential', 'to', 'study', 'galaxy', 'formation', 'and', 'evolution', 'in', 'detail', 'in', 'the', 'nearby', 'universe', 'although', 'they', 'seem', 'to', 'be', 'simple', 'systems', 'at', 'first', 'view', 'they', 'remain', 'poorly', 'understood', 'in', 'an', 'attempt', 'to', 'alleviate', 'this', 'situation', 'the', 'magpop', 'eu', 'research', 'and', 'training', 'network', 'embarked', 'on', 'a', 'study', 'of', 'dwarf', 'galaxies', 'named', 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712.2018 | The matrix product representations for all valence bond states | We introduce a simple representation for irreducible spherical tensor
operators of the rotation group of arbitrary integer or half integer rank and
use these tensor operators to construct matrix product states corresponding to
all the variety of valence-bond states proposed in the
Affleck-Kennedy-Lieb-Tasaki (AKLT) construction. These include the fully
dimerized states of arbitrary spins, with uniform or alternating patterns of
spins, which are ground states of Hamiltonians with nearest and next-nearest
neighbor interactions, and the partially dimerized or AKLT/VBS (Valence Bond
Solid) states, which are constructed from them by projection. The latter states
are translation-invariant ground states of Hamiltonians with nearest-neighbor
interactions.
| quant-ph cond-mat.str-el | we introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product states corresponding to all the variety of valencebond states proposed in the affleckkennedyliebtasaki aklt construction these include the fully dimerized states of arbitrary spins with uniform or alternating patterns of spins which are ground states of hamiltonians with nearest and nextnearest neighbor interactions and the partially dimerized or akltvbs valence bond solid states which are constructed from them by projection the latter states are translationinvariant ground states of hamiltonians with nearestneighbor interactions | [['we', 'introduce', 'a', 'simple', 'representation', 'for', 'irreducible', 'spherical', 'tensor', 'operators', 'of', 'the', 'rotation', 'group', 'of', 'arbitrary', 'integer', 'or', 'half', 'integer', 'rank', 'and', 'use', 'these', 'tensor', 'operators', 'to', 'construct', 'matrix', 'product', 'states', 'corresponding', 'to', 'all', 'the', 'variety', 'of', 'valencebond', 'states', 'proposed', 'in', 'the', 'affleckkennedyliebtasaki', 'aklt', 'construction', 'these', 'include', 'the', 'fully', 'dimerized', 'states', 'of', 'arbitrary', 'spins', 'with', 'uniform', 'or', 'alternating', 'patterns', 'of', 'spins', 'which', 'are', 'ground', 'states', 'of', 'hamiltonians', 'with', 'nearest', 'and', 'nextnearest', 'neighbor', 'interactions', 'and', 'the', 'partially', 'dimerized', 'or', 'akltvbs', 'valence', 'bond', 'solid', 'states', 'which', 'are', 'constructed', 'from', 'them', 'by', 'projection', 'the', 'latter', 'states', 'are', 'translationinvariant', 'ground', 'states', 'of', 'hamiltonians', 'with', 'nearestneighbor', 'interactions']] | [-0.1598708238452673, 0.2822326659213401, 0.013600780694321314, 0.05977342760024389, -0.021068408596559916, -0.2017037389421891, 0.03414329379280605, 0.39056078824076323, -0.26879188618023353, -0.24123403389643103, 0.08758097617670267, -0.3331398501586501, -0.09577400719350444, 0.019765127941246817, 0.11650996769969767, 0.035428737546086754, 0.05600920939670488, 0.03544187795204839, -0.1562864307019085, -0.24026544726601257, 0.3790634080746308, -0.07437837361773052, 0.24185058528944703, 0.011889989575426472, 0.08031723799995415, 0.08935588695072007, 0.1221044035628438, -0.05553670431081537, -0.06561250248370637, 0.16179830472429957, 0.2883843444379987, -0.0034477599887269557, 0.13036950351209334, -0.4645584802705758, -0.14265402463365043, 0.1196878579269984, 0.0952174936163027, 0.18214798195398238, 0.013603125142721956, -0.3772240135044155, -0.0028747383938493706, -0.2598195562904498, -0.1479724140141602, -0.18219717760630283, 0.015645358223919895, 0.00500942428716191, -0.27797917436144437, 0.08804713694337239, 0.07290693669404724, 0.056530283927677734, -0.09971574995906489, -0.184357062673731, -0.09744681148688392, 0.11733247117729544, -0.046333323371144805, 0.017456702251761855, 0.055471766463453226, -0.06938275891254739, -0.2058137192363196, 0.34619274208008655, -0.00899804842722888, -0.2553773008489815, 0.2051638807170093, -0.12013357821944179, -0.09750788515931604, 0.09592007415940856, 0.1105033678652737, 0.10306563194740868, -0.07048882322966832, 0.08804442148740947, -0.056576881087431224, 0.13248998442166807, -0.014035689704452115, 0.05863778671194421, 0.21342703542386246, 0.024694014146997786, 0.11760792056430537, 0.20138764062361553, -0.03964079002933899, -0.1698304576531864, -0.24354421358444903, -0.15025300905828845, -0.27722516991682167, 0.05316663467749437, -0.0889806843791814, -0.22009268179904706, 0.45357087405748886, 0.029562786654891943, 0.158626857454575, 0.05291589925591234, 0.1704784548924406, 0.0515165854669591, 0.07212017254332209, 0.0826677223091189, 0.16807655752221545, 0.1982422367425285, -0.06125460683119179, -0.19636573102889987, -0.000453789577828628, 0.16180328229940175] |
712.2019 | Toward the zero surface tension limit: The granular fingering
instability | The finger-like branching pattern that occurs when a less viscous fluid
displaces a more viscous one confined between two parallel plates has been
widely studied as a classical example of a mathematically-tractable
hydrodynamic instability since the time of Saffman and Taylor. Fingering in
such Hele-Shaw geometries have been generated not only with Newtonian fluids
but also with various non-Newtonian fluids including fine granular material
displaced by gas, liquid, or large grains. Here we study a granular Hele-Shaw
system to explore whether the absence of cohesive forces in dry granular
material can produce an ideal venue for studying the hitherto-unrealizable
singular hydrodynamics predicted in the zero-surface-tension limit. We
demonstrate that the grain-gas interface does indeed exhibit fractal structure
and sharp cusps associated with finite-time singularities. Above the yield
stress, the scaling for the finger width is distinct from that for ordinary
fluids, reflecting unique granular properties such as friction-induced
dissipation as opposed to viscous damping. Despite such differences, the
dimension of the global fractal structure and the shape of the singular cusps
on the interface agree with the theories based on simple Laplacian growth of
conventional fluid fingering in the zero-surface-tension limit. Our study
provides new insights not only on the dynamics of two-phase dense granular
flows and granular pattern formation, but also on the fluid dynamics in the
zero-surface-tension limit.
| cond-mat.soft cond-mat.stat-mech | the fingerlike branching pattern that occurs when a less viscous fluid displaces a more viscous one confined between two parallel plates has been widely studied as a classical example of a mathematicallytractable hydrodynamic instability since the time of saffman and taylor fingering in such heleshaw geometries have been generated not only with newtonian fluids but also with various nonnewtonian fluids including fine granular material displaced by gas liquid or large grains here we study a granular heleshaw system to explore whether the absence of cohesive forces in dry granular material can produce an ideal venue for studying the hithertounrealizable singular hydrodynamics predicted in the zerosurfacetension limit we demonstrate that the graingas interface does indeed exhibit fractal structure and sharp cusps associated with finitetime singularities above the yield stress the scaling for the finger width is distinct from that for ordinary fluids reflecting unique granular properties such as frictioninduced dissipation as opposed to viscous damping despite such differences the dimension of the global fractal structure and the shape of the singular cusps on the interface agree with the theories based on simple laplacian growth of conventional fluid fingering in the zerosurfacetension limit our study provides new insights not only on the dynamics of twophase dense granular flows and granular pattern formation but also on the fluid dynamics in the zerosurfacetension limit | [['the', 'fingerlike', 'branching', 'pattern', 'that', 'occurs', 'when', 'a', 'less', 'viscous', 'fluid', 'displaces', 'a', 'more', 'viscous', 'one', 'confined', 'between', 'two', 'parallel', 'plates', 'has', 'been', 'widely', 'studied', 'as', 'a', 'classical', 'example', 'of', 'a', 'mathematicallytractable', 'hydrodynamic', 'instability', 'since', 'the', 'time', 'of', 'saffman', 'and', 'taylor', 'fingering', 'in', 'such', 'heleshaw', 'geometries', 'have', 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'frictioninduced', 'dissipation', 'as', 'opposed', 'to', 'viscous', 'damping', 'despite', 'such', 'differences', 'the', 'dimension', 'of', 'the', 'global', 'fractal', 'structure', 'and', 'the', 'shape', 'of', 'the', 'singular', 'cusps', 'on', 'the', 'interface', 'agree', 'with', 'the', 'theories', 'based', 'on', 'simple', 'laplacian', 'growth', 'of', 'conventional', 'fluid', 'fingering', 'in', 'the', 'zerosurfacetension', 'limit', 'our', 'study', 'provides', 'new', 'insights', 'not', 'only', 'on', 'the', 'dynamics', 'of', 'twophase', 'dense', 'granular', 'flows', 'and', 'granular', 'pattern', 'formation', 'but', 'also', 'on', 'the', 'fluid', 'dynamics', 'in', 'the', 'zerosurfacetension', 'limit']] | [-0.12980719287281667, 0.17828516283884502, -0.1290775403175332, 0.03165891431453595, -0.06205910210574576, -0.13754442244674156, -0.04836924152487222, 0.3074135175081602, -0.28029465847093304, -0.2655423932298676, 0.08484583487841002, -0.25590888757702956, -0.1450399113786962, 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712.202 | The Jiang-Su algebra does not always embed | We exhibit a unital simple nuclear non-type-I C*-algebra into which the
Jiang-Su algebra does not embed unitally. This answers a question of M.
R{\o}rdam.
| math.OA | we exhibit a unital simple nuclear nontypei calgebra into which the jiangsu algebra does not embed unitally this answers a question of m rordam | [['we', 'exhibit', 'a', 'unital', 'simple', 'nuclear', 'nontypei', 'calgebra', 'into', 'which', 'the', 'jiangsu', 'algebra', 'does', 'not', 'embed', 'unitally', 'this', 'answers', 'a', 'question', 'of', 'm', 'rordam']] | [-0.09066201252457888, 0.11956915312001239, -0.13607004325350988, 0.045445075476258666, -0.2093395131194721, -0.2671701379687242, 0.006884377874919902, 0.4004346269952214, -0.3517880766935971, -0.13871454973907574, 0.06683435612965537, -0.23006409957357074, -0.08634490633140439, 0.12322193703047284, -0.26789047115522885, -0.13662814591889796, 0.08451269079080742, 0.11751575743698556, -0.10197302188886248, -0.2305594234443877, 0.3735314024531323, -0.0388594355393687, 0.12032386472286738, 0.10334953588797995, 0.1426317324133023, 0.002220066486979308, 0.007867135087271099, 0.01414500427958758, -0.16732305697286906, 0.04670481638142677, 0.318849291935887, 0.1653231033326491, 0.2842076555218386, -0.3431991852981889, -0.09243788827797803, 0.2587791159749031, 0.1707953007729805, -0.01761566457318385, -0.09838072809836139, -0.24694456241053084, 0.06396523911667906, -0.3408751627025397, 0.0026271596105526323, -0.11868059392208638, 0.05569956848478835, -0.188469467603642, -0.2832950408084561, -0.028361216713876827, 0.2923159766132417, 0.04145135483502046, -0.09530065102634304, -0.007927995742015217, -0.05361075423981832, 0.1044874430998512, -0.20394466258585453, 0.041851141105365496, 0.20751709648934397, 0.029630199894713966, -0.10288124304750691, 0.3758961589116117, 0.029199249333823504, -0.1945317360046117, 0.12016283404891906, -0.2859722509494294, -0.22288078200780664, 0.12137389490785806, 0.04590748242386009, 0.11666347697863112, -0.04218879593131335, 0.25868081321696873, -0.27894971390133316, 0.18034289825869643, -0.002805846824270228, 0.019078528184605682, 0.10954962516932384, 0.06481576719037864, 0.05284288740190475, 0.0914637112747068, 0.22136909150235032, 0.05579534577934638, -0.26355386768346245, -0.14201521201302175, -0.10413723438978195, 0.27506949182703544, 0.01762083375259586, -0.2079492557955825, 0.389408314195664, 0.07803626492133607, 0.24808791837574024, 0.058048461285500744, 0.20383898938155692, -0.002352123675139054, 0.11843332453914311, 0.1321141674466755, 0.09288432108967201, 0.28430650383234024, 0.01268437043156313, -0.1345423620356166, -0.05697881551864355, 0.23563010609992172] |
712.2021 | Hypergeometric D-modules and twisted Gauss-Manin systems | The Euler-Koszul complex is the fundamental tool in the homological study of
A-hypergeometric differential systems and functions. We compare Euler-Koszul
homology with D-module direct images from the torus to the base space through
orbits in the corresponding toric variety. Our approach generalizes a result by
Gel'fand et al. and yields a simpler, more algebraic proof.
In the process we extend the Euler-Koszul functor a category of infinite
toric modules and describe multigraded localizations of Euler-Koszul homology.
| math.AG math.CO | the eulerkoszul complex is the fundamental tool in the homological study of ahypergeometric differential systems and functions we compare eulerkoszul homology with dmodule direct images from the torus to the base space through orbits in the corresponding toric variety our approach generalizes a result by gelfand et al and yields a simpler more algebraic proof in the process we extend the eulerkoszul functor a category of infinite toric modules and describe multigraded localizations of eulerkoszul homology | [['the', 'eulerkoszul', 'complex', 'is', 'the', 'fundamental', 'tool', 'in', 'the', 'homological', 'study', 'of', 'ahypergeometric', 'differential', 'systems', 'and', 'functions', 'we', 'compare', 'eulerkoszul', 'homology', 'with', 'dmodule', 'direct', 'images', 'from', 'the', 'torus', 'to', 'the', 'base', 'space', 'through', 'orbits', 'in', 'the', 'corresponding', 'toric', 'variety', 'our', 'approach', 'generalizes', 'a', 'result', 'by', 'gelfand', 'et', 'al', 'and', 'yields', 'a', 'simpler', 'more', 'algebraic', 'proof', 'in', 'the', 'process', 'we', 'extend', 'the', 'eulerkoszul', 'functor', 'a', 'category', 'of', 'infinite', 'toric', 'modules', 'and', 'describe', 'multigraded', 'localizations', 'of', 'eulerkoszul', 'homology']] | [-0.14663119373175218, -0.03805013310537968, -0.12485144809378605, 0.10811916458674443, -0.10606552235855672, -0.10963027291367516, -0.028785596454614086, 0.29217833677600874, -0.34114236809239773, -0.21652696986290576, 0.0734832669029282, -0.18820306359205125, -0.19968198618459465, 0.23844036528546558, -0.19716998362472574, -0.004941358990771205, 0.08147291137567281, 0.013047143162877643, -0.07223837657243405, -0.2609547525276675, 0.44731318351420524, 0.018323904540585845, 0.2165486182355763, 0.012089226836044537, 0.09242792473493242, 0.0625235875271947, -0.07788532961919707, -0.055115974324795196, -0.1817008682854449, 0.16540253062511942, 0.3406225218388595, 0.07485138769506623, 0.12795097906124092, -0.3729896524332856, -0.10666714665651518, 0.1343246240622217, 0.1193838068161552, 0.06345988753692884, 0.014848960645299246, -0.3078221422987745, 0.09433461245345443, -0.2362811183801999, -0.14313275884763388, -0.09729457357408185, 0.04309505676562702, 0.06394597562949027, -0.22619906942801257, -0.042041208447986526, 0.10138862866810278, 0.13973513001723117, -0.06329531027126666, -0.05256248699151911, -0.08622654416218498, 0.060759253744771216, -0.05985040189797904, 0.037930388919592495, 0.12629545694462171, -0.08255429524242093, -0.170419149376501, 0.35416448112626214, -0.06212149059252912, -0.2256711596917165, 0.18419864985748732, -0.1444479197839667, -0.16117217224458918, 0.1709707595015827, 0.036924102686737716, 0.18003242191441945, -0.009261933535239414, 0.2025585975965154, -0.15502606121835447, 0.059589546991781775, 0.06669285547564198, 0.006717871065790716, 0.1182004744922252, 0.14035233303193786, 0.04748632834832135, 0.1681301319836884, 0.0029381420800315312, -0.08669066601080551, -0.282931600317457, -0.2388073848989351, -0.1030381259012134, 0.12867892528332672, -0.1057680233197492, -0.13429576560462775, 0.41794662167146607, 0.10327396994015496, 0.21014624300388327, 0.1468234415235776, 0.26891952045997114, 0.01936854664266943, 0.033206774620339274, 0.009732765886981628, 0.11394581637394272, 0.26031510271193264, 0.04364746078040058, -0.10531711990418109, -0.04555913214694316, 0.2660725784831141] |
712.2022 | Constructing elliptic curves of prime order | We present a very efficient algorithm to construct an elliptic curve E and a
finite field F such that the order of the point group E(F) is a given prime
number N. Heuristically, this algorithm only takes polynomial time Otilde((\log
N)^3), and it is so fast that it may profitably be used to tackle the related
problem of finding elliptic curves with point groups of prime order of
prescribed size. We also discuss the impact of the use of high level modular
functions to reduce the run time by large constant factors and show that recent
gonality bounds for modular curves imply limits on the time reduction that can
be obtained.
| math.NT math.AG | we present a very efficient algorithm to construct an elliptic curve e and a finite field f such that the order of the point group ef is a given prime number n heuristically this algorithm only takes polynomial time otildelog n3 and it is so fast that it may profitably be used to tackle the related problem of finding elliptic curves with point groups of prime order of prescribed size we also discuss the impact of the use of high level modular functions to reduce the run time by large constant factors and show that recent gonality bounds for modular curves imply limits on the time reduction that can be obtained | [['we', 'present', 'a', 'very', 'efficient', 'algorithm', 'to', 'construct', 'an', 'elliptic', 'curve', 'e', 'and', 'a', 'finite', 'field', 'f', 'such', 'that', 'the', 'order', 'of', 'the', 'point', 'group', 'ef', 'is', 'a', 'given', 'prime', 'number', 'n', 'heuristically', 'this', 'algorithm', 'only', 'takes', 'polynomial', 'time', 'otildelog', 'n3', 'and', 'it', 'is', 'so', 'fast', 'that', 'it', 'may', 'profitably', 'be', 'used', 'to', 'tackle', 'the', 'related', 'problem', 'of', 'finding', 'elliptic', 'curves', 'with', 'point', 'groups', 'of', 'prime', 'order', 'of', 'prescribed', 'size', 'we', 'also', 'discuss', 'the', 'impact', 'of', 'the', 'use', 'of', 'high', 'level', 'modular', 'functions', 'to', 'reduce', 'the', 'run', 'time', 'by', 'large', 'constant', 'factors', 'and', 'show', 'that', 'recent', 'gonality', 'bounds', 'for', 'modular', 'curves', 'imply', 'limits', 'on', 'the', 'time', 'reduction', 'that', 'can', 'be', 'obtained']] | [-0.17385693311013958, 0.09081389869428345, -0.13877465677532283, 0.07172315177105537, -0.09245699570852925, -0.14587624991227957, 0.05556589657737111, 0.3473814552141862, -0.3118768062103878, -0.32292542060921814, 0.11907655875283209, -0.22444254519756546, -0.14021832525772465, 0.25631925961510704, -0.07654608691280539, 0.06434983801181343, 0.06273230798119171, 0.07318784787573597, -0.04477845825762911, -0.33741955928165807, 0.32191125974694096, 0.030404748259620234, 0.20548085592348467, 0.05088071934032169, 0.09617321634749797, -0.0034091514662246813, 0.0012997205792502923, 0.028479224037040365, -0.11724359877328176, 0.1187934568818574, 0.2915301281789487, 0.11313413079108366, 0.2297470516271212, -0.41598247628320345, -0.1678243107564578, 0.18941809415647928, 0.12105365214996379, 0.06773831929418851, -0.03307277229508724, -0.1831670572917739, 0.1311288330026648, -0.13334532784806055, -0.17381312968209386, -0.09688887362876399, 0.06104897382690317, 0.03191553098996255, -0.26205088952132927, -0.008353862211118791, 0.04128780319694091, 0.0605461805974218, -0.006247579852457751, -0.12233319013294848, 0.031022879189218987, 0.1044696742076088, 0.041139625893397765, 0.08650067447478332, 0.07082276948389005, -0.10980017414020204, -0.10214029459113425, 0.3743936457755891, -0.08174128449648957, -0.1724830670705573, 0.12035822464280169, -0.15381162783385, -0.1498325324913656, 0.1607657121579078, 0.19318305117670787, 0.1465276001021266, -0.05728804217651486, 0.1340215724453711, -0.06471105929098982, 0.17810134691535495, 0.05295449904250828, -0.032375201692974025, 0.11718287380539219, 0.0975446731952781, 0.0966366543815556, 0.12337361843833192, -0.05487464216156778, -0.005489449092948979, -0.3252900337885049, -0.16863592741164293, -0.1755469412458214, 0.059608002921397035, -0.1264383391473199, -0.14446696903323755, 0.3840163291347298, 0.12638713192004203, 0.2317360504022376, 0.10219814209690825, 0.2385362810370597, 0.19112241440875963, 0.06922684591475196, 0.11782541549341245, 0.1643007625021379, 0.0745615082856437, 0.0005924895998429168, -0.21296549590558492, 0.035560143092350865, 0.10154229479587891] |
712.2023 | Far-reaching statistical consequences of the zero-point energy for the
harmonic oscillator | In a recent thermodynamic analysis of the harmonic oscillator and using an
interpolation procedure, Boyer has shown that the existence of a zero-point
energy leads to the Planck spectrum. Here we avoid the interpolation by adding
a statistical argument to arrive at Planck's law as an inescapable result of
the presence of the zero-point energy. No explicit quantum argument is
introduced along the derivations. We disclose the connection of our results
with the original analysis of Planck and Einstein, which led to the notion of
the quantized radiation field. We then inquire into the discrete or continuous
behaviour of the energy and pinpoint the discontinuities. Finally, to open the
door to the description of the zero-point fluctuations, we briefly discuss the
statistical (in contrast to the purely thermodynamic) description of the
oscillator, which accounts for both thermal and temperature-independent
contributions to the energy dispersion.
| quant-ph | in a recent thermodynamic analysis of the harmonic oscillator and using an interpolation procedure boyer has shown that the existence of a zeropoint energy leads to the planck spectrum here we avoid the interpolation by adding a statistical argument to arrive at plancks law as an inescapable result of the presence of the zeropoint energy no explicit quantum argument is introduced along the derivations we disclose the connection of our results with the original analysis of planck and einstein which led to the notion of the quantized radiation field we then inquire into the discrete or continuous behaviour of the energy and pinpoint the discontinuities finally to open the door to the description of the zeropoint fluctuations we briefly discuss the statistical in contrast to the purely thermodynamic description of the oscillator which accounts for both thermal and temperatureindependent contributions to the energy dispersion | [['in', 'a', 'recent', 'thermodynamic', 'analysis', 'of', 'the', 'harmonic', 'oscillator', 'and', 'using', 'an', 'interpolation', 'procedure', 'boyer', 'has', 'shown', 'that', 'the', 'existence', 'of', 'a', 'zeropoint', 'energy', 'leads', 'to', 'the', 'planck', 'spectrum', 'here', 'we', 'avoid', 'the', 'interpolation', 'by', 'adding', 'a', 'statistical', 'argument', 'to', 'arrive', 'at', 'plancks', 'law', 'as', 'an', 'inescapable', 'result', 'of', 'the', 'presence', 'of', 'the', 'zeropoint', 'energy', 'no', 'explicit', 'quantum', 'argument', 'is', 'introduced', 'along', 'the', 'derivations', 'we', 'disclose', 'the', 'connection', 'of', 'our', 'results', 'with', 'the', 'original', 'analysis', 'of', 'planck', 'and', 'einstein', 'which', 'led', 'to', 'the', 'notion', 'of', 'the', 'quantized', 'radiation', 'field', 'we', 'then', 'inquire', 'into', 'the', 'discrete', 'or', 'continuous', 'behaviour', 'of', 'the', 'energy', 'and', 'pinpoint', 'the', 'discontinuities', 'finally', 'to', 'open', 'the', 'door', 'to', 'the', 'description', 'of', 'the', 'zeropoint', 'fluctuations', 'we', 'briefly', 'discuss', 'the', 'statistical', 'in', 'contrast', 'to', 'the', 'purely', 'thermodynamic', 'description', 'of', 'the', 'oscillator', 'which', 'accounts', 'for', 'both', 'thermal', 'and', 'temperatureindependent', 'contributions', 'to', 'the', 'energy', 'dispersion']] | [-0.11421098366635205, 0.1077619949955988, -0.147347325937719, 0.06463342325312421, -0.0646412259278198, -0.07830817239785877, 0.06348490453981664, 0.2964279085467246, -0.26628379254705375, -0.30267726271025214, 0.053179271727761566, -0.2866575783757273, -0.11281100691121537, 0.18630439553170516, -0.04901101348190827, 0.03471974952521527, -0.0028507626654269793, 0.0448809888265613, -0.04817804488751184, -0.18344366239519636, 0.32985508239815114, 0.13067181009036075, 0.2555281106001025, 0.083744602934328, 0.10969932073365068, -0.001974843728627699, -0.06213802056542287, 0.02691453274908579, -0.16776159746248392, 0.13122961950203818, 0.17574320030689705, 0.055068104980616935, 0.27225743857626283, -0.39944478243705817, -0.20846777919278894, 0.10923125897857568, 0.09207963313868579, 0.16660236127629308, -0.025907476203024596, -0.2657556522689346, 0.03304703966973142, -0.14007896897803424, -0.17166411495418288, -0.09817373537225649, -0.008733541034517758, 0.00023502102703787386, -0.20330594598393267, 0.1014962802033147, 0.11017898772924026, 0.03265552709086074, -0.12620795227040718, -0.06457672505995207, -0.013725100482891625, 0.09719225827494585, 0.08089746488743306, 0.022418857416293275, 0.10919433620680745, -0.10550767253799778, -0.10059621802873961, 0.396973376459856, -0.06855866015030188, -0.15917906141839921, 0.15884305042628613, -0.12782959482865408, -0.11238996994345346, 0.10063805526846813, 0.08892316816491075, 0.02496944515370261, -0.14358259466825984, 0.10612771427420536, 0.014491273122580929, 0.16739850276644574, 0.06857561749509639, 0.052845461170363706, 0.2095016347658303, 0.08668710175738346, 0.03847274454003329, 0.16171202333094292, -0.07830442636057139, -0.12561669979671328, -0.3646964534612683, -0.16036207375711659, -0.1919480885974028, 0.08663822852880305, -0.07830428490504143, -0.18646744932367357, 0.3911969828315907, 0.18297745845565158, 0.1976869446322477, 0.05435889597316014, 0.2985122170017955, 0.16494484634474954, 0.03353374390078696, 0.04333109923431443, 0.2920566098699864, 0.17227072965437806, 0.11668764389145912, -0.26783557600315866, -0.04304667048967935, 0.06656449010026538] |
712.2024 | Energy decay laws in strongly anisotropic MHD turbulence | We investigate the influence of a uniform magnetic field ${\bf B_0}=B_0 e//$
on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence.
The nonlinear transfer reduction along $B_0$ is included in a model that
distinguishes parallel and perpendicular directions, following a phenomenology
{\it \`a la} Kraichnan. We predict a slowing down of the energy decay due to
anisotropy in the limit of strong $B_0$, with distinct power laws for energy
decay of shear- and pseudo-Alfv\'en waves. Numerical results from the kinetic
equations of Alfv\'en wave turbulence recover these predictions, and MHD
numerical results clearly tend to follow them in the lowest perpendicular
planes.
| physics.flu-dyn physics.plasm-ph | we investigate the influence of a uniform magnetic field bf b_0b_0 e on energy decay laws in incompressible magnetohydrodynamic mhd turbulence the nonlinear transfer reduction along b_0 is included in a model that distinguishes parallel and perpendicular directions following a phenomenology it a la kraichnan we predict a slowing down of the energy decay due to anisotropy in the limit of strong b_0 with distinct power laws for energy decay of shear and pseudoalfven waves numerical results from the kinetic equations of alfven wave turbulence recover these predictions and mhd numerical results clearly tend to follow them in the lowest perpendicular planes | [['we', 'investigate', 'the', 'influence', 'of', 'a', 'uniform', 'magnetic', 'field', 'bf', 'b_0b_0', 'e', 'on', 'energy', 'decay', 'laws', 'in', 'incompressible', 'magnetohydrodynamic', 'mhd', 'turbulence', 'the', 'nonlinear', 'transfer', 'reduction', 'along', 'b_0', 'is', 'included', 'in', 'a', 'model', 'that', 'distinguishes', 'parallel', 'and', 'perpendicular', 'directions', 'following', 'a', 'phenomenology', 'it', 'a', 'la', 'kraichnan', 'we', 'predict', 'a', 'slowing', 'down', 'of', 'the', 'energy', 'decay', 'due', 'to', 'anisotropy', 'in', 'the', 'limit', 'of', 'strong', 'b_0', 'with', 'distinct', 'power', 'laws', 'for', 'energy', 'decay', 'of', 'shear', 'and', 'pseudoalfven', 'waves', 'numerical', 'results', 'from', 'the', 'kinetic', 'equations', 'of', 'alfven', 'wave', 'turbulence', 'recover', 'these', 'predictions', 'and', 'mhd', 'numerical', 'results', 'clearly', 'tend', 'to', 'follow', 'them', 'in', 'the', 'lowest', 'perpendicular', 'planes']] | [-0.17940865671216039, 0.19144683719686426, -0.045156767209161924, 0.09531842433907424, -0.07201228946410489, -0.0800466793036033, -0.026266650988323852, 0.29429359691180657, -0.2944318554871301, -0.26454294838546083, 0.007975364198428717, -0.26641919122695334, -0.043617988775235296, 0.2145358871202916, 0.07991947031275619, 0.03861850459534343, 0.02742614368977265, -0.06184330165828809, -0.03703575352400468, -0.1371819019100933, 0.274866429992057, 0.0762843110156015, 0.31997956057992016, -0.007979363355195463, 0.06099032926013564, -0.0818911486346791, -0.0188052111655695, 0.051492400817794375, -0.2295409595841769, 0.0033763182386387105, 0.16822231763116277, -0.010231101777091032, 0.22800571683075022, -0.47258614601180104, -0.21287908743476808, 0.01361078282098959, 0.17313146983310213, 0.11911131209684628, -0.006857598411371138, -0.2106717567116317, 0.0810525111097953, -0.13328002528275945, -0.13475357663660947, -0.04991932914103612, 0.017427638501602012, 0.0793138835025896, -0.31194753836065825, 0.15528217059938182, 0.09973058929795971, 0.05916614291064515, -0.12015403993427753, -0.06189564519704753, -0.07392714266656059, 0.02049253438829933, 0.17825951088233713, 0.07047253897837778, 0.12789201118411625, -0.16446248528842658, -0.08648453708184828, 0.3944638736988648, -0.08227827857446737, -0.21012228874876948, 0.19710108143563318, -0.1938633046915183, -0.1018298229082755, 0.19530161722830616, 0.21143196905631167, 0.037677557396674805, -0.050938082372511524, 0.09368322250988832, -0.031506913001355163, 0.12825086166953095, 0.06619991235766966, -0.056671235516741136, 0.23015018079964683, 0.1094751379609403, 0.01915081784977476, 0.07114491376122183, -0.11558284778822223, -0.07199660397715646, -0.3149491238619874, -0.15616084091678853, -0.14361855620057276, 0.11986410297902352, -0.07641395492468255, -0.15529900234155725, 0.40984632043020414, 0.18282526391235612, 0.1445339624435724, 0.031719581938653006, 0.2906831290093389, 0.1530865537242429, -0.006206494779095496, 0.15631561311386008, 0.31572633125072364, 0.24047292314589688, 0.16837634607725363, -0.27114193467192793, -0.033550542756214295, 0.048511420565629654] |
712.2025 | On the supergravity description of boost invariant conformal plasma at
strong coupling | We study string theory duals of the expanding boost invariant conformal gauge
theory plasmas at strong coupling. The dual supergravity background is
constructed as an asymptotic late-time expansion, corresponding to
equilibration of the gauge theory plasma. The absence of curvature
singularities in the first few orders of the late-time expansion of the dual
gravitational background unambiguously determines the equilibrium equation of
the state, and the shear viscosity of the gauge theory plasma. While the
absence of the leading pole singularities in the gravitational curvature
invariants at the third order in late-time expansion determines the relaxation
time of the plasma, the subleading logarithmic singularity can not be canceled
within a supergravity approximation. Thus, a supergravity approximation to a
dual description of the strongly coupled boost invariant expanding plasma is
inconsistent. Nevertheless we find that the relaxation time determined from
cancellation of pole singularities is quite robust.
| hep-th | we study string theory duals of the expanding boost invariant conformal gauge theory plasmas at strong coupling the dual supergravity background is constructed as an asymptotic latetime expansion corresponding to equilibration of the gauge theory plasma the absence of curvature singularities in the first few orders of the latetime expansion of the dual gravitational background unambiguously determines the equilibrium equation of the state and the shear viscosity of the gauge theory plasma while the absence of the leading pole singularities in the gravitational curvature invariants at the third order in latetime expansion determines the relaxation time of the plasma the subleading logarithmic singularity can not be canceled within a supergravity approximation thus a supergravity approximation to a dual description of the strongly coupled boost invariant expanding plasma is inconsistent nevertheless we find that the relaxation time determined from cancellation of pole singularities is quite robust | [['we', 'study', 'string', 'theory', 'duals', 'of', 'the', 'expanding', 'boost', 'invariant', 'conformal', 'gauge', 'theory', 'plasmas', 'at', 'strong', 'coupling', 'the', 'dual', 'supergravity', 'background', 'is', 'constructed', 'as', 'an', 'asymptotic', 'latetime', 'expansion', 'corresponding', 'to', 'equilibration', 'of', 'the', 'gauge', 'theory', 'plasma', 'the', 'absence', 'of', 'curvature', 'singularities', 'in', 'the', 'first', 'few', 'orders', 'of', 'the', 'latetime', 'expansion', 'of', 'the', 'dual', 'gravitational', 'background', 'unambiguously', 'determines', 'the', 'equilibrium', 'equation', 'of', 'the', 'state', 'and', 'the', 'shear', 'viscosity', 'of', 'the', 'gauge', 'theory', 'plasma', 'while', 'the', 'absence', 'of', 'the', 'leading', 'pole', 'singularities', 'in', 'the', 'gravitational', 'curvature', 'invariants', 'at', 'the', 'third', 'order', 'in', 'latetime', 'expansion', 'determines', 'the', 'relaxation', 'time', 'of', 'the', 'plasma', 'the', 'subleading', 'logarithmic', 'singularity', 'can', 'not', 'be', 'canceled', 'within', 'a', 'supergravity', 'approximation', 'thus', 'a', 'supergravity', 'approximation', 'to', 'a', 'dual', 'description', 'of', 'the', 'strongly', 'coupled', 'boost', 'invariant', 'expanding', 'plasma', 'is', 'inconsistent', 'nevertheless', 'we', 'find', 'that', 'the', 'relaxation', 'time', 'determined', 'from', 'cancellation', 'of', 'pole', 'singularities', 'is', 'quite', 'robust']] | [-0.18426189766233336, 0.15257885566569368, -0.13865828815333803, 0.10080262042565978, -0.07552774597023582, -0.09290749167638092, -0.04986335916729676, 0.26550741582017007, -0.23257270143527922, -0.20771648567812195, 0.0598486714715395, -0.2637906269074, -0.11280806958033093, 0.07596687887763155, 0.0037408366526380694, 0.018232359396743364, -0.022765746682978653, 0.06446984807543199, -0.12062858547212492, -0.24735114192108398, 0.31878938997999345, 0.10166262666823278, 0.26324966470229216, 0.08290078912315697, 0.1158366138051296, -0.05237532228167201, -0.029661738154767404, 0.03780275609922306, -0.12790599369332556, 0.045190174485845815, 0.21093871700416866, 0.05127067018043378, 0.16496107366321416, -0.42731837680370643, -0.22035505647032425, 0.06618284496382393, 0.1800411054158005, 0.13555387565324178, 0.010732478984021422, -0.2385364602030865, 0.04925678303497362, -0.16307272218521043, -0.21491185106128327, -0.08139622021980326, -0.02172409969157186, -0.0771038439016436, -0.25779366249154356, 0.1350465003176239, 0.03179594906978309, -0.009949439277487069, -0.07723357136329187, 0.00836733622669146, -0.043441101304929834, 0.049504576809704305, 0.14492468901524513, 0.08761834664559313, 0.15315674908844562, -0.21152942455855422, -0.09049257917393898, 0.3788904668699051, -0.14200386248673472, -0.14829615554029668, 0.14369403499596078, -0.2053640895747933, -0.1288787670417464, 0.2078892448338969, 0.09946412168571661, 0.15895420104417757, -0.133430762049453, 0.18609324516206657, 0.02816158463728839, 0.09284281982430097, 0.15034238252435522, 0.06111097260346186, 0.2622435893927669, 0.06861151726916433, 0.03803619045708007, 0.1156856584129855, -0.008753215511538216, -0.11549014096662145, -0.44469668393761946, -0.0942908951274023, -0.15143711464479565, 0.10104577843720045, -0.18226688907246894, -0.21914681769779015, 0.3988630718936951, 0.09055594599691365, 0.14519202845283494, 0.03156073519895817, 0.2422846771262843, 0.1428263361670141, 0.04353512967454976, 0.08779708138859735, 0.32665082252231137, 0.18617642458110792, 0.08235096168329996, -0.3384105573460492, -0.04025743352249265, 0.17189800545637463] |
712.2026 | A graphene-based electrochemical switch | Conventional field effect transistor operation in graphene is limited by its
zero gap and minimum quantum conductivity. In this work, we report on
controlled electrochemical modification of graphene such that its conductance
changes by more than six orders of magnitude, which enables reversible bipolar
switching devices. The effect is explained by a chemical reaction of graphene
with hydrogen (H+) and hydroxyl (OH-), which are catalytically generated from
water molecules in the sub-stochiometric silicon oxide gate dielectric. The
reactive species attach to graphene making it nonconductive but the process can
subsequently be reversed by short current pulses that cause rapid local
annealing. We believe that the demonstrated electrochemical field effect
devices are viable candidates for future logic circuits, non-volatile memories
and novel neuromorphic processing concepts.
| cond-mat.mtrl-sci cond-mat.mes-hall | conventional field effect transistor operation in graphene is limited by its zero gap and minimum quantum conductivity in this work we report on controlled electrochemical modification of graphene such that its conductance changes by more than six orders of magnitude which enables reversible bipolar switching devices the effect is explained by a chemical reaction of graphene with hydrogen h and hydroxyl oh which are catalytically generated from water molecules in the substochiometric silicon oxide gate dielectric the reactive species attach to graphene making it nonconductive but the process can subsequently be reversed by short current pulses that cause rapid local annealing we believe that the demonstrated electrochemical field effect devices are viable candidates for future logic circuits nonvolatile memories and novel neuromorphic processing concepts | [['conventional', 'field', 'effect', 'transistor', 'operation', 'in', 'graphene', 'is', 'limited', 'by', 'its', 'zero', 'gap', 'and', 'minimum', 'quantum', 'conductivity', 'in', 'this', 'work', 'we', 'report', 'on', 'controlled', 'electrochemical', 'modification', 'of', 'graphene', 'such', 'that', 'its', 'conductance', 'changes', 'by', 'more', 'than', 'six', 'orders', 'of', 'magnitude', 'which', 'enables', 'reversible', 'bipolar', 'switching', 'devices', 'the', 'effect', 'is', 'explained', 'by', 'a', 'chemical', 'reaction', 'of', 'graphene', 'with', 'hydrogen', 'h', 'and', 'hydroxyl', 'oh', 'which', 'are', 'catalytically', 'generated', 'from', 'water', 'molecules', 'in', 'the', 'substochiometric', 'silicon', 'oxide', 'gate', 'dielectric', 'the', 'reactive', 'species', 'attach', 'to', 'graphene', 'making', 'it', 'nonconductive', 'but', 'the', 'process', 'can', 'subsequently', 'be', 'reversed', 'by', 'short', 'current', 'pulses', 'that', 'cause', 'rapid', 'local', 'annealing', 'we', 'believe', 'that', 'the', 'demonstrated', 'electrochemical', 'field', 'effect', 'devices', 'are', 'viable', 'candidates', 'for', 'future', 'logic', 'circuits', 'nonvolatile', 'memories', 'and', 'novel', 'neuromorphic', 'processing', 'concepts']] | [-0.14900153047855702, 0.19467980404880383, -0.007308105563099413, -0.05821659932392108, -0.03569303872442343, -0.2117778380189424, 0.10730260002570666, 0.463320837248253, -0.28937941763504615, -0.3017435705221099, 0.01037154978659852, -0.24486952512790033, -0.18616471770484516, 0.22924842814180424, -0.03995681414759256, 0.023298795644489185, 0.025483584118537544, -0.09345414728017115, -0.005416371804715051, -0.22855520478215038, 0.18688862425714306, 0.07107654068433505, 0.30216479466894897, 0.08347113535747053, 0.04882232259534966, -0.06782618912913632, 0.07062274753305364, 0.006435981808737587, -0.08953789851647884, 0.10266453129523556, 0.27189188099246686, -0.04583912114499182, 0.22531488777055003, -0.5712877691276674, -0.23657306048610224, 0.02873586572998211, 0.09628913291858707, 0.15776547877216424, -0.10826106727791938, -0.2418807130505717, 0.07544365839803652, -0.16043190324936457, -0.06235101044994809, -0.06385359147609007, 0.0580385122893045, 0.004119770465100684, -0.19952941028121102, 0.03437475381774934, 0.048676099734214266, 0.07884610639657916, -0.03661137741041082, -0.12876649020709158, -0.05126628596941388, 0.036883590653977866, -0.040067353233083615, 0.008857875291733222, 0.3348067138889214, -0.10406520626341122, -0.1568250437342842, 0.34829672785263843, -0.06421206947058776, -0.0968632309042614, 0.1595665036977034, -0.13561169563308056, -0.04385100936941136, 0.15477749350957754, 0.07291475047946082, 0.12996112427681805, -0.21645975134494463, 0.04606511142356624, 0.0782925948548903, 0.1647517356635412, 0.12045856743929832, 0.08453478678167473, 0.25278823041334386, 0.2264272996141174, 0.07482342848675401, 0.16479637820322854, -0.08291424162841092, -0.03057502877209487, -0.2049776592700765, -0.22304451096863523, -0.19000334135915448, 0.11965585767473208, -0.04469825176494215, -0.17146425291411277, 0.38271663385647825, 0.16108677678455682, 0.11813917654240882, -0.05249489412067564, 0.30895666448717435, 0.11090826474099867, 0.1540083228307587, -0.003728164706333745, 0.21955063916379358, 0.16288640578012398, 0.14456194843264009, -0.25942187255808735, 0.1521242674311426, -0.0462342302402012] |
712.2027 | Design and analytically full-wave validation of the invisibility cloaks,
concentrators, and field rotators created with a general class of
transformations | We investigate a general class of electromagnetic devices created with any
continuous transformation functions by rigorously calculating the analytical
expressions of the electromagnetic field in the whole space. Some interesting
phenomena associated with these transformation devices, including the
invisibility cloaks, concentrators, and field rotators, are discussed. By
carefully choosing the transformation function, we can realize cloaks which are
insensitive to perturbations at both the inner and outer boundaries.
Furthermore, we find that when the coating layer of the concentrator is
realized with left-handed materials, energy will circulate between the coating
and the core, and the energy transmits through the core of the concentrator can
be much bigger than that transmits through the concentrator. Therefore, such
concentrator is also a power flux amplifier. Finally, we propose a spherical
field rotator, which functions as not only a wave vector rotator, but also a
polarization rotator, depending on the orientations of the spherical rotator
with respect to the incident wave direction. The functionality of these novel
transformation devices are all successfully confirmed by our analytical full
wave method, which also provides an alternate computational efficient
validation method in contrast to numerical validation methods.
| physics.optics | we investigate a general class of electromagnetic devices created with any continuous transformation functions by rigorously calculating the analytical expressions of the electromagnetic field in the whole space some interesting phenomena associated with these transformation devices including the invisibility cloaks concentrators and field rotators are discussed by carefully choosing the transformation function we can realize cloaks which are insensitive to perturbations at both the inner and outer boundaries furthermore we find that when the coating layer of the concentrator is realized with lefthanded materials energy will circulate between the coating and the core and the energy transmits through the core of the concentrator can be much bigger than that transmits through the concentrator therefore such concentrator is also a power flux amplifier finally we propose a spherical field rotator which functions as not only a wave vector rotator but also a polarization rotator depending on the orientations of the spherical rotator with respect to the incident wave direction the functionality of these novel transformation devices are all successfully confirmed by our analytical full wave method which also provides an alternate computational efficient validation method in contrast to numerical validation methods | [['we', 'investigate', 'a', 'general', 'class', 'of', 'electromagnetic', 'devices', 'created', 'with', 'any', 'continuous', 'transformation', 'functions', 'by', 'rigorously', 'calculating', 'the', 'analytical', 'expressions', 'of', 'the', 'electromagnetic', 'field', 'in', 'the', 'whole', 'space', 'some', 'interesting', 'phenomena', 'associated', 'with', 'these', 'transformation', 'devices', 'including', 'the', 'invisibility', 'cloaks', 'concentrators', 'and', 'field', 'rotators', 'are', 'discussed', 'by', 'carefully', 'choosing', 'the', 'transformation', 'function', 'we', 'can', 'realize', 'cloaks', 'which', 'are', 'insensitive', 'to', 'perturbations', 'at', 'both', 'the', 'inner', 'and', 'outer', 'boundaries', 'furthermore', 'we', 'find', 'that', 'when', 'the', 'coating', 'layer', 'of', 'the', 'concentrator', 'is', 'realized', 'with', 'lefthanded', 'materials', 'energy', 'will', 'circulate', 'between', 'the', 'coating', 'and', 'the', 'core', 'and', 'the', 'energy', 'transmits', 'through', 'the', 'core', 'of', 'the', 'concentrator', 'can', 'be', 'much', 'bigger', 'than', 'that', 'transmits', 'through', 'the', 'concentrator', 'therefore', 'such', 'concentrator', 'is', 'also', 'a', 'power', 'flux', 'amplifier', 'finally', 'we', 'propose', 'a', 'spherical', 'field', 'rotator', 'which', 'functions', 'as', 'not', 'only', 'a', 'wave', 'vector', 'rotator', 'but', 'also', 'a', 'polarization', 'rotator', 'depending', 'on', 'the', 'orientations', 'of', 'the', 'spherical', 'rotator', 'with', 'respect', 'to', 'the', 'incident', 'wave', 'direction', 'the', 'functionality', 'of', 'these', 'novel', 'transformation', 'devices', 'are', 'all', 'successfully', 'confirmed', 'by', 'our', 'analytical', 'full', 'wave', 'method', 'which', 'also', 'provides', 'an', 'alternate', 'computational', 'efficient', 'validation', 'method', 'in', 'contrast', 'to', 'numerical', 'validation', 'methods']] | [-0.12591935556357434, 0.14900194904590822, -0.04937726989707076, 0.007466070776756264, -0.12421984931110944, -0.14690282868564522, 0.005921746544941255, 0.4441572512745073, -0.25083713851575007, -0.29181753692100754, 0.09786640574886023, -0.24437070558288773, -0.17984779127750938, 0.23868378956164968, -0.0110120030162905, 0.05419338976621236, 0.030040067189226024, -0.0023093760577275564, -0.09049583671146952, -0.16834023653737906, 0.2826885711793837, 0.06883502627575869, 0.2987771835472239, -0.006061277673334668, 0.10223657804737357, 0.006015805805739211, 0.02469639077929682, 0.013296517437955022, -0.09405301412556774, 0.09018286588221887, 0.19921490591115895, 0.059802500114433076, 0.20697927948724676, -0.4532108882148015, 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712.2028 | Infinite coupling duals of N=2 gauge theories and new rank 1
superconformal field theories | We show that a proposed duality [arXiv:0711.0054] between infinitely coupled
gauge theories and superconformal field theories (SCFTs) with weakly gauged
flavor groups predicts the existence of new rank 1 SCFTs. These superconformal
fixed point theories have the same Coulomb branch singularities as the rank 1
E_6, E_7, and E_8 SCFTs, but have smaller flavor symmetry algebras and
different central charges. Gauging various subalgebras of the flavor algebras
of these rank 1 SCFTs provides many examples of infinite-coupling dualities,
satisfying an intricate set of consistency checks. They also provide examples
of N=2 conformal theories with marginal couplings but no weak-coupling limits.
| hep-th | we show that a proposed duality arxiv07110054 between infinitely coupled gauge theories and superconformal field theories scfts with weakly gauged flavor groups predicts the existence of new rank 1 scfts these superconformal fixed point theories have the same coulomb branch singularities as the rank 1 e_6 e_7 and e_8 scfts but have smaller flavor symmetry algebras and different central charges gauging various subalgebras of the flavor algebras of these rank 1 scfts provides many examples of infinitecoupling dualities satisfying an intricate set of consistency checks they also provide examples of n2 conformal theories with marginal couplings but no weakcoupling limits | [['we', 'show', 'that', 'a', 'proposed', 'duality', 'arxiv07110054', 'between', 'infinitely', 'coupled', 'gauge', 'theories', 'and', 'superconformal', 'field', 'theories', 'scfts', 'with', 'weakly', 'gauged', 'flavor', 'groups', 'predicts', 'the', 'existence', 'of', 'new', 'rank', '1', 'scfts', 'these', 'superconformal', 'fixed', 'point', 'theories', 'have', 'the', 'same', 'coulomb', 'branch', 'singularities', 'as', 'the', 'rank', '1', 'e_6', 'e_7', 'and', 'e_8', 'scfts', 'but', 'have', 'smaller', 'flavor', 'symmetry', 'algebras', 'and', 'different', 'central', 'charges', 'gauging', 'various', 'subalgebras', 'of', 'the', 'flavor', 'algebras', 'of', 'these', 'rank', '1', 'scfts', 'provides', 'many', 'examples', 'of', 'infinitecoupling', 'dualities', 'satisfying', 'an', 'intricate', 'set', 'of', 'consistency', 'checks', 'they', 'also', 'provide', 'examples', 'of', 'n2', 'conformal', 'theories', 'with', 'marginal', 'couplings', 'but', 'no', 'weakcoupling', 'limits']] | [-0.1509821319322318, 0.17677194586701603, -0.018040992291361996, 0.13267811544408853, -0.08110051234064605, -0.27765549047182153, -0.018666770450319305, 0.32483737493366605, -0.14224754736906933, -0.2626450756809326, 0.08603227363353727, -0.3004562232756253, -0.15425618330599986, 0.04463335704246555, -0.05414127892428877, -0.013852286199578132, -0.04623815027122019, 0.04778988712797685, -0.18214732799044048, -0.3486608082729608, 0.33832484313917127, -0.08442797539332374, 0.28322373009333857, 0.048746593592857775, 0.0840046666738944, -0.03934508048449502, 0.041903388827587616, -0.031805175817524546, -0.11295578502051855, 0.12459062627337948, 0.3111643820690612, 0.08613047731870954, 0.071708470046746, -0.43693770786201713, -0.18347163737229438, 0.15219060670245776, 0.24900600250993826, 0.09600502039973784, -0.06867990098456203, -0.27950915386147723, 0.05804215460978072, -0.212603683051926, -0.1595052976285888, -0.1424207726841548, -0.0031340691082254804, -0.08399835038892549, -0.25495503000877423, 0.05570446258861186, 0.0063183862278520155, 0.18327613857885203, -0.0333239472720471, -0.13524167543521734, -0.1380384353711505, 0.0662514423114257, 0.1731322018213269, -0.01224643432281234, 0.144251527576331, -0.24694928271470196, -0.21868652413890818, 0.34089074119680907, 0.07641482404950592, -0.20868309151211922, 0.23247800915116312, -0.14194347821834563, -0.29576275413244435, 0.07998675583259701, 0.020340136680375747, 0.15734542461407294, -0.05263952578748976, 0.26406699186014576, -0.12004974966097359, 0.08629697148430612, 0.09803909988429473, 0.026614320618476756, 0.2615935248369821, 0.058493731091871407, 0.09266848818368438, 0.06750233422475632, 0.08399742564205269, -0.04536268203942613, -0.48201233475948824, -0.08616432364597315, -0.04753577291513934, 0.15575396703236333, -0.2434792410192195, -0.13172485313679308, 0.3870324159380298, 0.11706722827996903, 0.14067462241192433, 0.12857149502808096, 0.0791672325288557, 0.058513504602491266, 0.1453802801910882, 0.027997976827501048, 0.1925032343198028, 0.2314693332094737, -0.023204887693870174, -0.18360050515544535, -0.24446023063207364, 0.2770448818595873] |
712.2029 | Anisotropic turbulent model for solar coronal heating | Context : We present a self-consistent model of solar coronal heating,
originally developed by Heyvaert & Priest (1992), in which we include the
dynamical effect of the background magnetic field along a coronal structure by
using exact results from wave MHD turbulence (Galtier et al. 2000). Aims : We
evaluate the heating rate and the microturbulent velocity for comparison with
observations in the quiet corona, active regions and also coronal holes.
Methods :The coronal structures are assumed to be in a turbulent state
maintained by the slow erratic motions of the magnetic footpoints. A
description for the large-scale and the unresolved small-scale dynamics are
given separately. From the latter, we compute exactly (or numerically for
coronal holes) turbulent viscosites that are finally used in the former to
close self-consistently the system and derive the heating flux expression.
Results : We show that the heating rate and the turbulent velocity compare
favorably with coronal observations. Conclusions : Although the Alfven wave
turbulence regime is strongly anisotropic, and could reduce a priori the
heating efficiency, it provides an unexpected satisfactory model of coronal
heating for both magnetic loops and open magnetic field lines.
| astro-ph | context we present a selfconsistent model of solar coronal heating originally developed by heyvaert priest 1992 in which we include the dynamical effect of the background magnetic field along a coronal structure by using exact results from wave mhd turbulence galtier et al 2000 aims we evaluate the heating rate and the microturbulent velocity for comparison with observations in the quiet corona active regions and also coronal holes methods the coronal structures are assumed to be in a turbulent state maintained by the slow erratic motions of the magnetic footpoints a description for the largescale and the unresolved smallscale dynamics are given separately from the latter we compute exactly or numerically for coronal holes turbulent viscosites that are finally used in the former to close selfconsistently the system and derive the heating flux expression results we show that the heating rate and the turbulent velocity compare favorably with coronal observations conclusions although the alfven wave turbulence regime is strongly anisotropic and could reduce a priori the heating efficiency it provides an unexpected satisfactory model of coronal heating for both magnetic loops and open magnetic field lines | [['context', 'we', 'present', 'a', 'selfconsistent', 'model', 'of', 'solar', 'coronal', 'heating', 'originally', 'developed', 'by', 'heyvaert', 'priest', '1992', 'in', 'which', 'we', 'include', 'the', 'dynamical', 'effect', 'of', 'the', 'background', 'magnetic', 'field', 'along', 'a', 'coronal', 'structure', 'by', 'using', 'exact', 'results', 'from', 'wave', 'mhd', 'turbulence', 'galtier', 'et', 'al', '2000', 'aims', 'we', 'evaluate', 'the', 'heating', 'rate', 'and', 'the', 'microturbulent', 'velocity', 'for', 'comparison', 'with', 'observations', 'in', 'the', 'quiet', 'corona', 'active', 'regions', 'and', 'also', 'coronal', 'holes', 'methods', 'the', 'coronal', 'structures', 'are', 'assumed', 'to', 'be', 'in', 'a', 'turbulent', 'state', 'maintained', 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712.203 | Green function for a two-dimensional discrete Laplace-Beltrami operator | We study a discrete model of the Laplacian in $\mathbb{R}^2$ that preserves
the geometric structure of the original continual object. This means that,
speaking of a discrete model, we do not mean just the direct replacement of
differential operators by difference ones but also a discrete analog of the
Riemannian structure. We consider this structure on the appropriate
combinatorial analog of differential forms. Self-adjointness and boundness for
a discrete Laplacian are proved. We define the Green function for this operator
and also derive an explicit formula of the one.
| math-ph math.AP math.MP | we study a discrete model of the laplacian in mathbbr2 that preserves the geometric structure of the original continual object this means that speaking of a discrete model we do not mean just the direct replacement of differential operators by difference ones but also a discrete analog of the riemannian structure we consider this structure on the appropriate combinatorial analog of differential forms selfadjointness and boundness for a discrete laplacian are proved we define the green function for this operator and also derive an explicit formula of the one | [['we', 'study', 'a', 'discrete', 'model', 'of', 'the', 'laplacian', 'in', 'mathbbr2', 'that', 'preserves', 'the', 'geometric', 'structure', 'of', 'the', 'original', 'continual', 'object', 'this', 'means', 'that', 'speaking', 'of', 'a', 'discrete', 'model', 'we', 'do', 'not', 'mean', 'just', 'the', 'direct', 'replacement', 'of', 'differential', 'operators', 'by', 'difference', 'ones', 'but', 'also', 'a', 'discrete', 'analog', 'of', 'the', 'riemannian', 'structure', 'we', 'consider', 'this', 'structure', 'on', 'the', 'appropriate', 'combinatorial', 'analog', 'of', 'differential', 'forms', 'selfadjointness', 'and', 'boundness', 'for', 'a', 'discrete', 'laplacian', 'are', 'proved', 'we', 'define', 'the', 'green', 'function', 'for', 'this', 'operator', 'and', 'also', 'derive', 'an', 'explicit', 'formula', 'of', 'the', 'one']] | [-0.1297374398442995, 0.030932752997777948, -0.11909977245155011, 0.1330825514866437, -0.11916546516246006, -0.0748843111600099, 0.016916136330600535, 0.3476242353522292, -0.30183137442362024, -0.25073551380316195, 0.13259752569170774, -0.23822747131684022, -0.21854036827728654, 0.15302135954804594, -0.09933022114584285, 0.03984564472659585, 0.047262738581767744, 0.07749377148686333, -0.11665599420789323, -0.1592828554540789, 0.379165195661147, -0.007324041756853628, 0.21185388615919967, 0.025606502046327244, 0.14749371581658555, 0.01785753270757667, -0.05744010173150579, -0.00922459831691525, -0.1393357186607318, 0.1660851220642164, 0.1681541731905485, 0.07277379824329963, 0.24828486986657122, -0.424249849313598, -0.20383859134875656, 0.15023268419814956, 0.11234327486789461, 0.0648701397775348, -0.05296369117888716, -0.2604068313735757, 0.09977798313268701, -0.14823863201178192, -0.1399711706843018, -0.05081251245829162, 0.013777957235075784, 0.011669148085377274, -0.26910574775479545, 0.07215451905333824, 0.1501147266466882, 0.04646040991817214, -0.10044742909291487, -0.09261430268374722, -0.02882969066542521, 0.09803566104847561, -0.052670137976359034, -0.03264266649376224, 0.05745096125880654, -0.08165934731859421, -0.1093873031086843, 0.3559699733479974, -0.07187871960530665, -0.2860496729047278, 0.10625984283226929, -0.13424863991212477, -0.14279297165300572, 0.06349935604447729, 0.13421957784991587, 0.16439951144242554, -0.14567557667065517, 0.1402887530465286, -0.11191661659042153, 0.11777346389723962, 0.057610036611682576, 0.021452918240612143, 0.102087015882553, 0.09961708222994622, 0.1428036715421993, 0.1564407891821472, -0.014369223163505033, -0.13681044308154772, -0.35572133933225375, -0.2113038557633925, -0.18296436967558405, 0.09864334210905827, -0.0933297501341963, -0.2205127904157604, 0.41422547906469764, 0.084568474065052, 0.22424455698621407, 0.08560256198247414, 0.26897778500949315, 0.19454928901925517, 0.060244974917653696, 0.041678424778111865, 0.16680138962856086, 0.16477933613416018, 0.09349525800979372, -0.19081767355981336, 0.008746346610525016, 0.15754770662300707] |
712.2031 | Large tensor-to-scalar ratio and low scale inflation | It is plausible that the scalar density perturbations are created by a
relatively low scale model of inflation which predicts the CMB anisotropy and
excites Standard Model baryon and cold dark matter, but negligible gravity
waves. Nevertheless a significantly large tensor perturbations can be observed
if there exists a prior phase of high scale inflation separated by a matter or
radiation dominated epoch. In this paper we provide a simple example when the
gravity waves generated at high scales trickle through the horizon of the
second phase of inflation and leave a distinct imprint in the spectrum of the
tensor modes. For a high scale inflation occurring at $H\sim 10^{13}$ GeV while
the second phase of inflation happening at $H\sim 1$ GeV, the largest tensor to
scalar ratio is bounded by $r_{\rm observed}\leq0.8$.
| astro-ph gr-qc hep-ph hep-th | it is plausible that the scalar density perturbations are created by a relatively low scale model of inflation which predicts the cmb anisotropy and excites standard model baryon and cold dark matter but negligible gravity waves nevertheless a significantly large tensor perturbations can be observed if there exists a prior phase of high scale inflation separated by a matter or radiation dominated epoch in this paper we provide a simple example when the gravity waves generated at high scales trickle through the horizon of the second phase of inflation and leave a distinct imprint in the spectrum of the tensor modes for a high scale inflation occurring at hsim 1013 gev while the second phase of inflation happening at hsim 1 gev the largest tensor to scalar ratio is bounded by r_rm observedleq08 | [['it', 'is', 'plausible', 'that', 'the', 'scalar', 'density', 'perturbations', 'are', 'created', 'by', 'a', 'relatively', 'low', 'scale', 'model', 'of', 'inflation', 'which', 'predicts', 'the', 'cmb', 'anisotropy', 'and', 'excites', 'standard', 'model', 'baryon', 'and', 'cold', 'dark', 'matter', 'but', 'negligible', 'gravity', 'waves', 'nevertheless', 'a', 'significantly', 'large', 'tensor', 'perturbations', 'can', 'be', 'observed', 'if', 'there', 'exists', 'a', 'prior', 'phase', 'of', 'high', 'scale', 'inflation', 'separated', 'by', 'a', 'matter', 'or', 'radiation', 'dominated', 'epoch', 'in', 'this', 'paper', 'we', 'provide', 'a', 'simple', 'example', 'when', 'the', 'gravity', 'waves', 'generated', 'at', 'high', 'scales', 'trickle', 'through', 'the', 'horizon', 'of', 'the', 'second', 'phase', 'of', 'inflation', 'and', 'leave', 'a', 'distinct', 'imprint', 'in', 'the', 'spectrum', 'of', 'the', 'tensor', 'modes', 'for', 'a', 'high', 'scale', 'inflation', 'occurring', 'at', 'hsim', '1013', 'gev', 'while', 'the', 'second', 'phase', 'of', 'inflation', 'happening', 'at', 'hsim', '1', 'gev', 'the', 'largest', 'tensor', 'to', 'scalar', 'ratio', 'is', 'bounded', 'by', 'r_rm', 'observedleq08']] | [-0.1745582572237419, 0.29995758571154013, -0.09928882141442348, 0.11701401153484105, -0.05853362412678755, -0.13640638573313923, -0.056323854805668816, 0.2792022770806921, -0.23826844656529525, -0.3196732474801441, 0.09034336506650134, -0.2668731523903482, -0.0661438152839599, 0.13210529350202926, 0.046695661512344624, -0.032869174403017634, 0.017460582317488097, 0.025915685379886505, -0.011013562485900227, -0.1990189591112236, 0.310672927930048, 0.1327726013224685, 0.21279106412266352, 0.041605281163797234, 0.13505836042829536, -0.11055358515868922, 0.01671519050388738, 0.0021635120360632286, -0.12655058007531447, 0.015590930653905327, 0.18877253634921295, 0.09977289882601437, 0.23199958251401162, -0.4156837021424012, -0.2521109051198106, 0.17642732466585143, 0.12586693118933137, 0.11639466320577246, -0.07786009398246692, -0.25091689405323425, 0.09978529578427586, -0.18483047137234473, -0.09560736474425842, -0.02775517114522782, 0.0233282191311997, -0.10255860604361673, -0.2837988003368743, 0.17179547540427215, -0.009832996900623777, -0.003558886583160722, -0.028886114524070625, -0.045875581753948194, -0.05824723384681751, -0.018139325950786853, 0.09720883510872778, 0.07315351502929292, 0.18584234508064887, -0.16881366122238847, -0.007587923282037743, 0.43289355075720587, -0.16973875800613314, -0.0696650509383868, 0.12593583614480766, -0.20034846240499368, -0.13301248342913546, 0.15124304970077268, 0.14765086464908425, 0.10210661186173445, -0.0580376198884165, 0.12164483493556459, 0.05504067574722946, 0.2039427244559523, 0.12413965474292071, 0.01868923470928249, 0.3472140449818901, 0.149741101549642, 0.05162657582850167, 0.0804115885888071, -0.06830857065817712, -0.038807895397908534, -0.37043530179300543, -0.05024272304338714, -0.20011628658958766, 0.027220171519950258, -0.15632458977989067, -0.16170035782411243, 0.4081803171712002, 0.11798675399393577, 0.24346108834222172, 0.044846662919029986, 0.3209004506537564, 0.10524946044262667, 0.06596453924254148, 0.10907186942710144, 0.3189039208051382, 0.11112406143431806, 0.12404880108078942, -0.175084967667565, -0.014704837975318007, -0.024514035725367263] |
712.2032 | Comment on `On the next-to-leading order gravitational spin(1)-spin(2)
dynamics' by J. Steinhoff et al | In this comment we explain the discrepancy found between the results in
arXiv:0712.1716v1 for the 3PN spin-spin potential and those previously derived
in gr-qc/0604099. We point out that to compare one must include sub-leading
lower order spin-orbit effects which contribute to the spin-spin potential once
one transforms to the PN frame. When these effects are included the results in
arXiv:0712.1716v1 do indeed reproduce those found in gr-qc/0604099.
| gr-qc | in this comment we explain the discrepancy found between the results in arxiv07121716v1 for the 3pn spinspin potential and those previously derived in grqc0604099 we point out that to compare one must include subleading lower order spinorbit effects which contribute to the spinspin potential once one transforms to the pn frame when these effects are included the results in arxiv07121716v1 do indeed reproduce those found in grqc0604099 | [['in', 'this', 'comment', 'we', 'explain', 'the', 'discrepancy', 'found', 'between', 'the', 'results', 'in', 'arxiv07121716v1', 'for', 'the', '3pn', 'spinspin', 'potential', 'and', 'those', 'previously', 'derived', 'in', 'grqc0604099', 'we', 'point', 'out', 'that', 'to', 'compare', 'one', 'must', 'include', 'subleading', 'lower', 'order', 'spinorbit', 'effects', 'which', 'contribute', 'to', 'the', 'spinspin', 'potential', 'once', 'one', 'transforms', 'to', 'the', 'pn', 'frame', 'when', 'these', 'effects', 'are', 'included', 'the', 'results', 'in', 'arxiv07121716v1', 'do', 'indeed', 'reproduce', 'those', 'found', 'in', 'grqc0604099']] | [-0.10577030474733976, 0.07836126304039406, -0.07540195665436812, 0.1674374709670831, -0.03486753388914087, -0.09455644314192117, 0.0026778565749289497, 0.39122407436962164, -0.20968440488453896, -0.3071298223166239, 0.010331905459881656, -0.3248686897198832, -0.15876388118848564, 0.2174650933759819, 0.0015237457340671902, -0.013613414211523912, -0.006634168914474901, 0.028864724428525994, -0.10120117580444211, -0.2976560274523402, 0.31256027880405624, 0.021798931398532458, 0.18326731516225708, 0.10675340175392135, -0.04250184516052878, -0.040032030689337895, -0.03927311265752429, 0.01238561018059651, -0.14895448990830032, 0.03531557744339345, 0.2442734907455151, -0.023403226723155333, 0.18040330001404362, -0.4470658731306829, -0.19783369235930934, 0.07819853501305693, 0.13934369762945506, 0.1612219384461198, -0.016442963380425696, -0.2401657866698409, 0.06755756723347105, -0.183675006475477, -0.15389170141388026, -0.12008666051995187, 0.0291561595799904, 0.034136959192683065, -0.24719868231535194, 0.06974380953784381, 0.07802570100119781, -0.04554485714447404, -0.06934208037804752, -0.16644235962026177, -0.026625484570450636, 0.1668041371135226, 0.12135560630953737, 0.06203808981393065, 0.07669942415807218, -0.09595311091222342, -0.11381285077345277, 0.4000212185617004, -0.08132441564913957, -0.201724801242115, 0.16538984863649284, -0.2432124146541196, -0.1658080931501611, 0.10941382958775475, 0.13800062937662005, 0.048576643298720086, -0.1750796114527417, 0.03659566615371861, 0.05414099538595312, 0.13113295511824877, 0.037808507392626436, 0.06347558485521447, 0.19504768587648869, 0.01652176271281427, -0.0005283625389907569, 0.1269491033199879, -0.08852574558899043, -0.13060175327377188, -0.32076813079535016, -0.09214278164186648, -0.15584592290577434, -0.006324019135227279, -0.0433462784006094, -0.09077160171277467, 0.33593756918396267, 0.24958499213532795, 0.22271634661962117, 0.027420251306870744, 0.2465589476143202, 0.12007660563621256, 0.14728530920628044, 0.0685525992589574, 0.3811963869938775, 0.08266187916391544, 0.07107917551276466, -0.2581340742134859, 0.0381366926733227, 0.04694419163500979] |
712.2033 | Where to place a spherical obstacle so as to maximize the second
Dirichlet eigenvalue | We prove that among all doubly connected domains of $\mathbb{R}^n$ bounded by
two spheres of given radii, the second eigenvalue of the Dirichlet Laplacian
achieves its maximum when the spheres are concentric (spherical shell). The
corresponding result for the first eigenvalue has been established by Hersch in
dimension 2, and by Harrell, Kr\"oger and Kurata and Kesavan in any dimension.
We also prove that the same result remains valid when the ambient space
$\mathbb{R}^n$ is replaced by the standard sphere $\mathbb{S}^n$ or the
hyperbolic space $\mathbb{H}^n$ .
| math.MG math.SP | we prove that among all doubly connected domains of mathbbrn bounded by two spheres of given radii the second eigenvalue of the dirichlet laplacian achieves its maximum when the spheres are concentric spherical shell the corresponding result for the first eigenvalue has been established by hersch in dimension 2 and by harrell kroger and kurata and kesavan in any dimension we also prove that the same result remains valid when the ambient space mathbbrn is replaced by the standard sphere mathbbsn or the hyperbolic space mathbbhn | [['we', 'prove', 'that', 'among', 'all', 'doubly', 'connected', 'domains', 'of', 'mathbbrn', 'bounded', 'by', 'two', 'spheres', 'of', 'given', 'radii', 'the', 'second', 'eigenvalue', 'of', 'the', 'dirichlet', 'laplacian', 'achieves', 'its', 'maximum', 'when', 'the', 'spheres', 'are', 'concentric', 'spherical', 'shell', 'the', 'corresponding', 'result', 'for', 'the', 'first', 'eigenvalue', 'has', 'been', 'established', 'by', 'hersch', 'in', 'dimension', '2', 'and', 'by', 'harrell', 'kroger', 'and', 'kurata', 'and', 'kesavan', 'in', 'any', 'dimension', 'we', 'also', 'prove', 'that', 'the', 'same', 'result', 'remains', 'valid', 'when', 'the', 'ambient', 'space', 'mathbbrn', 'is', 'replaced', 'by', 'the', 'standard', 'sphere', 'mathbbsn', 'or', 'the', 'hyperbolic', 'space', 'mathbbhn']] | [-0.12335147409300719, 0.12219826580951035, -0.003316795453429222, 0.032433475457808184, -0.046000893615807094, -0.11902754182284254, -0.040683623788590056, 0.343542424285607, -0.24254335548972622, -0.2098145732500901, 0.16353269436651663, -0.307225938243348, -0.1266804549238822, 0.1671837574131565, -0.07540066080747194, 0.06744104761206213, 0.04977005226759329, 0.10421296060251604, -0.05539067514750752, -0.27671462999257657, 0.42175570884276004, -0.0823098155669868, 0.1864151931173789, 0.07437720561643973, 0.09509554328784968, -0.001776616748732825, 0.020771596171904265, 0.053039551939166686, -0.17696441517719427, 0.1523734061823537, 0.2063363755365745, 0.06313829260068901, 0.2563280965107316, -0.3941890042626169, -0.20803035563966704, 0.1717028697686536, 0.14552640544466808, -0.038478374625334426, 0.019618081350234292, -0.30211843494769364, 0.12712970495201825, -0.08486121657880999, -0.20906903523774373, -0.03014758504217579, 0.04743706346267745, -1.727390363590703e-05, -0.25384760264395956, 0.09384204886009684, 0.17864585660087565, 0.025689804549550728, -0.09713112297634195, -0.15272258367345093, -0.0304397065192461, 0.09986946867415793, 0.02070860221837869, 0.03457863335608549, 0.05680128434185116, -0.0215052833248462, -0.08323159642029732, 0.38235182722564787, -0.05932347549657736, -0.2588788198440203, 0.11370285887581606, -0.21842232706867867, -0.07728607197003882, 0.10281936270240251, 0.10399954866928358, 0.14574204310996547, -0.0735128666845932, 0.2133927758501765, -0.09823388038646608, 0.13745548814490793, 0.18741502843996777, -0.06931888768338554, 0.08796569497679316, 0.1067567504609802, 0.1667861945710943, 0.15701885397235552, -0.07595153837021262, -0.0668828328018121, -0.30363274364000453, -0.18475865025331067, -0.275225608888182, 0.06349932201694519, -0.1629459571553785, -0.13939842494160293, 0.29668340888539596, -0.026629684759037837, 0.20487541898286768, 0.1219232598142255, 0.2561455202577192, 0.07805496431302301, 0.022277188393109965, 0.15317377918732486, 0.21712705976374091, 0.13984504061019315, 0.024829914211988494, -0.13697163995744804, -0.015182810037263803, 0.15612023253977117] |
712.2034 | Exploring proteins multi-funnel energy landscape | An all-atom model of proteins is used to show that the same sequence of amino
acids can have many alternative structures, that are very distant from, and
that can be as stable as, the corresponding native structure. Such alternative
structures are not easily rationalized as belonging to the native basin and
indicate instead that the free energy landscape of proteins is
multi-funnel-shaped and that Anfinsen's thermodynamic hypothesis alone cannot
explain protein folding. An alternative two-step process for folding is
proposed and its consistency with the experimental evidence available is
discussed.
| physics.bio-ph | an allatom model of proteins is used to show that the same sequence of amino acids can have many alternative structures that are very distant from and that can be as stable as the corresponding native structure such alternative structures are not easily rationalized as belonging to the native basin and indicate instead that the free energy landscape of proteins is multifunnelshaped and that anfinsens thermodynamic hypothesis alone cannot explain protein folding an alternative twostep process for folding is proposed and its consistency with the experimental evidence available is discussed | [['an', 'allatom', 'model', 'of', 'proteins', 'is', 'used', 'to', 'show', 'that', 'the', 'same', 'sequence', 'of', 'amino', 'acids', 'can', 'have', 'many', 'alternative', 'structures', 'that', 'are', 'very', 'distant', 'from', 'and', 'that', 'can', 'be', 'as', 'stable', 'as', 'the', 'corresponding', 'native', 'structure', 'such', 'alternative', 'structures', 'are', 'not', 'easily', 'rationalized', 'as', 'belonging', 'to', 'the', 'native', 'basin', 'and', 'indicate', 'instead', 'that', 'the', 'free', 'energy', 'landscape', 'of', 'proteins', 'is', 'multifunnelshaped', 'and', 'that', 'anfinsens', 'thermodynamic', 'hypothesis', 'alone', 'can', 'not', 'explain', 'protein', 'folding', 'an', 'alternative', 'twostep', 'process', 'for', 'folding', 'is', 'proposed', 'and', 'its', 'consistency', 'with', 'the', 'experimental', 'evidence', 'available', 'is', 'discussed']] | [-0.05505052080584897, 0.12667122706673883, -0.12557725937416156, 0.14033463110756403, -0.054698848000003235, -0.12794256426083545, 0.010809224410655184, 0.4482807813419236, -0.2991067603644397, -0.2811966084073194, 0.07358594425540003, -0.22575330906806307, -0.20164644964453246, 0.18759221352585073, -0.025637842528522015, -0.012019686488201842, 0.10425281222495768, 0.05542481354334288, 0.026344252090590697, -0.1871490186623608, 0.24288817940848983, 0.11548690923179189, 0.2717809197311807, 0.061630874204759795, 0.05570706196336283, -0.07938723362102691, 0.07334431225123504, 0.017575360632811985, -0.10905183012954593, 0.1565005662644075, 0.27515823632064795, 0.14613207853916618, 0.19751614985418403, -0.4448865860286686, -0.2537273108234836, 0.09148170675875412, 0.19612606581714417, 0.15244456971995532, -0.04723784015643307, -0.24224533294844958, 0.17510278242536717, -0.13785067287972197, -0.09289686566011773, -0.13971250812626548, -0.018147246818989514, 0.06870333823478884, -0.21533528761485488, 0.10540151012440523, 0.04164709658361972, 0.06250791044698821, -0.126136804476846, -0.1398131652528213, -0.10405323965888884, 0.15962373630868065, 0.07347047553339507, 0.02408115671844118, 0.1864656879980531, -0.05919010957909955, -0.13151083594291574, 0.39192711172832384, -0.031183834227785055, -0.2064766419870365, 0.2721866569843971, -0.0345394809005989, -0.14471873567025695, 0.13930395448114724, 0.04350135653383202, 0.08861997307588657, -0.19368549134233035, 0.0691998627424861, -0.01795402431032724, 0.21062782441731542, 0.07295836847689417, -0.011207546676612563, 0.2327538113627169, 0.1601185475786527, 0.034657573422494654, 0.13071727624240642, -0.07378988586262697, -0.12081339640232423, -0.26732315458357336, -0.19516365026227303, -0.2108784853015095, 0.035891900871582845, -0.06440776571463276, -0.1843879055697471, 0.34139004127743344, 0.09976011580373678, 0.19825846563196844, 0.03685670231675936, 0.20547721773489483, 0.0226033669236737, 0.09946067604210435, -0.01082286150712106, 0.19477112027816473, 0.024195953567201892, 0.0049886936942736305, -0.20246633427062383, 0.15446055247448384, 0.0063038534251973035] |
712.2035 | Some new results on one-dimensional outflow dynamics | In this paper we introduce modified version of one-dimensional outflow
dynamics (known as a Sznajd model) which simplifies the analytical treatment.
We show that simulations results of the original and modified rules are exactly
the same for various initial conditions. We obtain the analytical formula for
exit probability using Kirkwood approximation and we show that it agrees
perfectly with computer simulations in case of random initial conditions.
Moreover, we compare our results with earlier analytical calculations obtained
from renormalization group and from general sequential probabilistic frame
introduced by Galam. Using computer simulations we investigate the time
evolution of several correlation functions to show if Kirkwood approximation
can be justified. Surprisingly, it occurs that Kirkwood approximation gives
correct results even for these initial conditions for which it cannot be easily
justified.
| cond-mat.stat-mech | in this paper we introduce modified version of onedimensional outflow dynamics known as a sznajd model which simplifies the analytical treatment we show that simulations results of the original and modified rules are exactly the same for various initial conditions we obtain the analytical formula for exit probability using kirkwood approximation and we show that it agrees perfectly with computer simulations in case of random initial conditions moreover we compare our results with earlier analytical calculations obtained from renormalization group and from general sequential probabilistic frame introduced by galam using computer simulations we investigate the time evolution of several correlation functions to show if kirkwood approximation can be justified surprisingly it occurs that kirkwood approximation gives correct results even for these initial conditions for which it cannot be easily justified | [['in', 'this', 'paper', 'we', 'introduce', 'modified', 'version', 'of', 'onedimensional', 'outflow', 'dynamics', 'known', 'as', 'a', 'sznajd', 'model', 'which', 'simplifies', 'the', 'analytical', 'treatment', 'we', 'show', 'that', 'simulations', 'results', 'of', 'the', 'original', 'and', 'modified', 'rules', 'are', 'exactly', 'the', 'same', 'for', 'various', 'initial', 'conditions', 'we', 'obtain', 'the', 'analytical', 'formula', 'for', 'exit', 'probability', 'using', 'kirkwood', 'approximation', 'and', 'we', 'show', 'that', 'it', 'agrees', 'perfectly', 'with', 'computer', 'simulations', 'in', 'case', 'of', 'random', 'initial', 'conditions', 'moreover', 'we', 'compare', 'our', 'results', 'with', 'earlier', 'analytical', 'calculations', 'obtained', 'from', 'renormalization', 'group', 'and', 'from', 'general', 'sequential', 'probabilistic', 'frame', 'introduced', 'by', 'galam', 'using', 'computer', 'simulations', 'we', 'investigate', 'the', 'time', 'evolution', 'of', 'several', 'correlation', 'functions', 'to', 'show', 'if', 'kirkwood', 'approximation', 'can', 'be', 'justified', 'surprisingly', 'it', 'occurs', 'that', 'kirkwood', 'approximation', 'gives', 'correct', 'results', 'even', 'for', 'these', 'initial', 'conditions', 'for', 'which', 'it', 'can', 'not', 'be', 'easily', 'justified']] | [-0.06629467376628677, 0.06977986833365023, -0.1643750534783018, 0.12202505557620116, -0.0356475185862394, -0.13776151067755035, 0.03567512683972062, 0.4040755595592426, -0.2269497354237633, -0.29063545890465264, 0.08868804376551043, -0.18425945379550904, -0.20172514321055007, 0.21525482471520438, -0.026154485801305933, 0.07517519768306147, 0.1227728916253923, -0.006534580223063248, -0.09360018137927728, -0.2532617145889787, 0.2827375877101173, 0.051751513064319965, 0.25091223453548345, 0.044313368312872324, 0.07150492060375009, 0.03337738451810966, -0.01375428746802775, 0.06984551280793798, -0.19298054345874321, 0.0407854444667242, 0.21726224680950168, 0.11805487865624764, 0.2377419510984239, -0.45835478906164245, -0.22276802048556335, 0.03533745678728233, 0.1362502258964139, 0.1960721387783819, -0.044146069041133384, -0.26618756298935536, 0.10602045581384584, -0.20992227426893612, -0.16395590166234275, -0.11512025770596193, -0.030112395745538572, 0.04220570879810639, -0.31723672502411115, 0.11390290916221969, 0.04391190669506447, -0.009092451413199821, -0.08394086402876459, -0.10575886140666362, 0.015477249189990907, 0.10417156152423641, 0.028810926164742134, 0.004317917111009814, 0.08842368662101395, -0.07647771952951057, -0.1009732457495451, 0.37724501368738994, -0.08902711911795248, -0.22549842339264983, 0.18113017549297508, -0.14258532311753122, -0.1305526793891749, 0.07867588652813282, 0.08455153175039601, 0.11335438409578481, -0.1525023722495059, 0.07198136426972311, -0.11185681150749838, 0.12880244272923672, 0.0796125003790753, -0.04120629385090611, 0.10962453985743167, 0.08798453247819793, -0.0003053869995224567, 0.15899464329135896, -0.021956035817568085, -0.1824365232374434, -0.31804367839465386, -0.10904294610705995, -0.19914893035151293, 0.054066474780636725, -0.08062318494538545, -0.13677358035822862, 0.3530807043479059, 0.2087975046952888, 0.16477016373097592, 0.13059221635544174, 0.27464963313199237, 0.16875282862714228, 0.007673491924229781, 0.09230965720103051, 0.2160782247114365, 0.10655533376092959, 0.05140338509826999, -0.20110589206993637, 0.07565253284823803, 0.09873464205906592] |
712.2036 | Lower bound on the four-point dynamical susceptibility: Direct
experimental test on a granular packing | We track the motion of a horizontally vibrated amorphous assembly of
bidisperse hard disks, for densities ranging across the jamming transition. We
derive on very general grounds a bound on the dynamical susceptibility in terms
of the response of the dynamics to a change in density. This generalizes a
similar bound recently derived for equilibrium liquids. We find that in our
experimental system the bound is tight and reproduces the non-monotonic
behavior of the dynamical susceptibility both in time and density across the
jamming transition. The underlying scaling behavior reveals an intimate
connection between anomalous diffusion and dynamical heterogeneity.
| cond-mat.soft | we track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks for densities ranging across the jamming transition we derive on very general grounds a bound on the dynamical susceptibility in terms of the response of the dynamics to a change in density this generalizes a similar bound recently derived for equilibrium liquids we find that in our experimental system the bound is tight and reproduces the nonmonotonic behavior of the dynamical susceptibility both in time and density across the jamming transition the underlying scaling behavior reveals an intimate connection between anomalous diffusion and dynamical heterogeneity | [['we', 'track', 'the', 'motion', 'of', 'a', 'horizontally', 'vibrated', 'amorphous', 'assembly', 'of', 'bidisperse', 'hard', 'disks', 'for', 'densities', 'ranging', 'across', 'the', 'jamming', 'transition', 'we', 'derive', 'on', 'very', 'general', 'grounds', 'a', 'bound', 'on', 'the', 'dynamical', 'susceptibility', 'in', 'terms', 'of', 'the', 'response', 'of', 'the', 'dynamics', 'to', 'a', 'change', 'in', 'density', 'this', 'generalizes', 'a', 'similar', 'bound', 'recently', 'derived', 'for', 'equilibrium', 'liquids', 'we', 'find', 'that', 'in', 'our', 'experimental', 'system', 'the', 'bound', 'is', 'tight', 'and', 'reproduces', 'the', 'nonmonotonic', 'behavior', 'of', 'the', 'dynamical', 'susceptibility', 'both', 'in', 'time', 'and', 'density', 'across', 'the', 'jamming', 'transition', 'the', 'underlying', 'scaling', 'behavior', 'reveals', 'an', 'intimate', 'connection', 'between', 'anomalous', 'diffusion', 'and', 'dynamical', 'heterogeneity']] | [-0.16634651450346213, 0.17610878098154595, -0.15365757326586077, 0.04177888647201612, 0.0022079936990683727, -0.0943406026403542, 0.07045888146291478, 0.3250308238920013, -0.23345264392867307, -0.3165652845054865, 0.04782219441381819, -0.28779005108758654, -0.2298293753592956, 0.1373323007990051, 0.014026858241795892, 0.06962513862967942, -0.0553655774412545, 0.013719601563714219, -0.10575115551579405, -0.15821532680267336, 0.2881802423019903, 0.02652407270113025, 0.3104616388057669, 0.09263109002083615, 0.08473497574603317, 0.00930338831044583, 0.05529591399762365, 0.055346253600837, -0.20199032317686208, 0.05883167487465673, 0.20780152510357738, 0.013689460615025401, 0.17804262780518543, -0.4041873062913767, -0.2500757373812975, 0.04954579792860331, 0.12118780648222927, 0.08383437620024338, -0.05140987375628843, -0.24142758517215648, 0.022759135798410032, -0.14668625186790119, -0.12129044369088882, -0.07307447506246542, 0.06153061296414546, 0.041194711049849335, -0.24211106450306347, 0.17156536450769488, 0.08144330211728106, 0.0606502051361733, -0.12078035313570214, -0.062039571167487234, -0.005062342430888252, 0.1562788966205912, 0.033827781637265075, -0.009994323727571301, 0.1851621145015639, -0.15980338954573703, -0.06357068459343429, 0.3572199904933722, -0.08844215891940162, -0.1408447760411284, 0.2708762449311149, -0.19451897415435976, -0.14207869796834963, 0.16455415133951287, 0.20442593993261607, 0.1004623251713135, -0.13076637696587678, 0.030465318076430135, -0.06977259047150687, 0.19886468535270355, 0.0268184548676616, 0.021961662385052993, 0.22539608401124073, 0.20614406192731677, 0.06031246234620498, 0.19821665880994666, -0.07663781798886832, -0.18612969239628074, -0.24760644717348945, -0.14153953230965677, -0.19614456736981267, 0.058167330337443736, -0.13211235350348888, -0.18379343414180582, 0.34624004437390604, 0.14690737448858493, 0.2417647699364508, 0.12867801215422028, 0.25453404624560716, 0.1108251060559085, 0.0038283201430764314, 0.08916693362360349, 0.26503098021364874, 0.15539976583812573, 0.1212482363587678, -0.2912236492977374, 0.11751104328743738, 0.018896301752050416] |
712.2037 | The logarithmic perturbation theory for bound states in
spherical-symmetric potentials via the $\hbar$-expansions | The explicit semiclassical treatment of the logarithmic perturbation theory
for the bound-state problem for the spherical anharmonic oscillator and the
screened Coulomb potential is developed. Based upon the $\hbar$-expansions and
suitable quantization conditions a new procedure for deriving perturbation
expansions is offered. Avoiding disadvantages of the standard approach, new
handy recursion formulae with the same simple form both for ground and excited
states have been obtained. As examples, the perturbation expansions for the
energy eigenvalues of the quartic anharmonic oscillator and the Debye potential
are considered.
| math-ph math.MP | the explicit semiclassical treatment of the logarithmic perturbation theory for the boundstate problem for the spherical anharmonic oscillator and the screened coulomb potential is developed based upon the hbarexpansions and suitable quantization conditions a new procedure for deriving perturbation expansions is offered avoiding disadvantages of the standard approach new handy recursion formulae with the same simple form both for ground and excited states have been obtained as examples the perturbation expansions for the energy eigenvalues of the quartic anharmonic oscillator and the debye potential are considered | [['the', 'explicit', 'semiclassical', 'treatment', 'of', 'the', 'logarithmic', 'perturbation', 'theory', 'for', 'the', 'boundstate', 'problem', 'for', 'the', 'spherical', 'anharmonic', 'oscillator', 'and', 'the', 'screened', 'coulomb', 'potential', 'is', 'developed', 'based', 'upon', 'the', 'hbarexpansions', 'and', 'suitable', 'quantization', 'conditions', 'a', 'new', 'procedure', 'for', 'deriving', 'perturbation', 'expansions', 'is', 'offered', 'avoiding', 'disadvantages', 'of', 'the', 'standard', 'approach', 'new', 'handy', 'recursion', 'formulae', 'with', 'the', 'same', 'simple', 'form', 'both', 'for', 'ground', 'and', 'excited', 'states', 'have', 'been', 'obtained', 'as', 'examples', 'the', 'perturbation', 'expansions', 'for', 'the', 'energy', 'eigenvalues', 'of', 'the', 'quartic', 'anharmonic', 'oscillator', 'and', 'the', 'debye', 'potential', 'are', 'considered']] | [-0.09571426867452615, 0.09326265191510388, -0.08795570300015457, 0.12303383308462798, -0.07788459513719906, -0.1739752929602914, 0.0343931933375322, 0.30143697480945025, -0.20615680891582194, -0.23496520093587392, 0.050792003340800015, -0.2911889687016168, -0.14671251707819893, 0.19375500455498695, 0.027888017010135466, 0.1149057870004874, 0.045408464225885625, 0.06425454339067287, -0.07381361302755335, -0.20472853342482053, 0.31113909183563115, 0.06399755165638292, 0.24669420150218202, 0.08659447254613042, 0.07900065271841253, 0.021726888344239664, 0.04082347968976725, -0.023838650966610978, -0.13927603957571966, 0.13956488509566578, 0.1999924790004597, 0.02806422973654288, 0.2730993351734736, -0.4496697259738165, -0.21577923999113194, 0.036685721291338694, 0.15071483085151105, 0.20210124482674635, -0.06262355550904485, -0.2998547640245627, 0.012674521013875218, -0.19986208611551454, -0.21763156904455494, -0.19266126971034442, 0.01908243400428225, 0.0326754633556394, -0.298073864991174, 0.10380564845879288, 0.022576331026742565, 0.03123264663359698, -0.09491831368821509, -0.16749684057362815, 0.02569889372543377, 0.10305474223569036, 0.030739753129070298, -0.04028578131350086, 0.09192505254245856, -0.1052361447857145, -0.06019971667624572, 0.39189378126140906, -0.06959547030136866, -0.21747369506012867, 0.11719147673917606, -0.0783847068929497, -0.08834072069319732, 0.11142148522057516, 0.07413599400178475, 0.12587399266879348, -0.17391070154879024, 0.17551970940411968, 0.08730210415909395, 0.05060242352979805, 0.13711210816331645, 0.03271474987268448, 0.13841922940576779, 0.09357647619429318, 0.01079637758050333, 0.13036579322069883, -0.02789781569119762, -0.15133240231696296, -0.35326537318965967, -0.09293473247329102, -0.21675776712158146, -0.0036413525285966257, -0.11996726446771337, -0.23902637498343693, 0.41276485120281853, 0.06736462828429306, 0.11043450063477983, 0.08628255988279467, 0.30247176010435556, 0.23810021821272503, 0.06157836102168349, -0.006641261100166423, 0.2644499495625496, 0.18966899616643787, 0.043260065506397306, -0.26118947870974596, -0.045945895813843785, 0.14339332223376808] |
712.2038 | Jet Physics at CDF | Recent results on jet physics at the Fermilab Tevatron $p\bar p$ collider
from the CDF Collaboration are presented. The main focus is put on results for
the inclusive jet and dijet, $b\bar b$ dijet, $W/Z+$jets and $W/Z+b$-jets
production.
| hep-ex | recent results on jet physics at the fermilab tevatron pbar p collider from the cdf collaboration are presented the main focus is put on results for the inclusive jet and dijet bbar b dijet wzjets and wzbjets production | [['recent', 'results', 'on', 'jet', 'physics', 'at', 'the', 'fermilab', 'tevatron', 'pbar', 'p', 'collider', 'from', 'the', 'cdf', 'collaboration', 'are', 'presented', 'the', 'main', 'focus', 'is', 'put', 'on', 'results', 'for', 'the', 'inclusive', 'jet', 'and', 'dijet', 'bbar', 'b', 'dijet', 'wzjets', 'and', 'wzbjets', 'production']] | [0.029875667570662255, 0.19299199877659212, -0.15339152360133626, 0.14302660657306882, -0.11469817812227316, -0.13778360872655301, -0.025228917548382603, 0.28692078197727333, -0.09140124156869747, -0.19531492063322584, -0.09847061925039098, -0.43544478336902886, 0.14881530152382078, 0.20810875588574926, 0.07254675525316112, 0.23816940331881917, 0.2270661084786863, -0.07850539803857336, 0.025356318700957944, -0.26666922172581825, 0.3032668517852152, 0.08158569319828136, 0.21481602185884038, 0.23264942358474475, -0.019236261981564598, 0.09031041436576964, -0.14595553210175066, -0.13349352271069545, -0.1477538887159647, 0.03856629256561801, 0.27850551565958037, 0.1393722049589898, 0.052145549977147904, -0.3305859781952726, 0.06890815060988471, 0.05941882599900301, 0.09236612849289903, -0.016112547569178248, -0.12253921859696307, -0.36827242223394885, 0.206133657525218, -0.32356474412655506, -0.0054980228982261705, 0.04250025033094996, 0.013755054464815435, -0.072952503791532, -0.3685402093908271, 0.01987007134468169, -0.07494524677560942, 0.12768546571464254, 0.06952113721116975, -0.3491583149880171, -0.10461660853360553, -0.11220831875815182, 0.16084445675054715, 0.17723913878403805, 0.23954537838093332, -0.17543171180689052, -0.3745846212212298, 0.2925209440794346, 0.05347235903546617, -0.10456810720466278, 0.25927375329538827, -0.3561517295956209, -0.20729453370881243, 0.0866625359583948, 0.40359471924602985, 0.01647358694793405, -0.19173098863983476, 0.21621659639404733, -0.057638047716102085, 0.09638875510820465, 0.09512727479827968, 0.018409582660407632, 0.17568218343060565, 0.24777228964140285, 0.007586848267630951, -0.032814494699139045, -0.1729477678513708, -0.008071650360786432, -0.5976175533959994, -0.02629714539727649, -0.06124489512797948, 0.030205408740486647, 0.09315244618227479, 0.06019637877171909, 0.34295019089571527, 0.028695095204622358, 0.400296125963733, -0.02343401629981157, 0.35871702110445175, 0.07782843198023133, 0.012799693881125012, 0.12171439700752082, 0.3720936877401294, 0.1484620833354121, 0.28877612326696916, -0.2622423108881088, 0.0817056855570676, 0.0956457825503438] |
712.2039 | Flavor in Supersymmetry with an Extended R-symmetry | We propose a new solution to the supersymmetric flavor problem without
flavor-blind mediation. Our proposal is to enforce a continuous or a suitably
large discrete R-symmetry on weak scale supersymmetry, so that Majorana gaugino
masses, trilinear A-terms, and the mu-term are forbidden. We find that
replacing the MSSM with an R-symmetric supersymmetric model allows order one
flavor-violating soft masses, even for squarks of order a few hundred GeV. The
minimal R-symmetric supersymmetric model contains Dirac gaugino masses and
R-symmetric Higgsino masses with no left-right mixing in the squark or slepton
sector. Dirac gaugino masses of order a few TeV with vanishing A-terms solve
most flavor problems, while the R-symmetric Higgs sector becomes important at
large tan(beta). epsilon_K can be accommodated if CP is preserved in the SUSY
breaking sector, or if there is a moderate flavor degeneracy, which can arise
naturally. epsilon'/epsilon, as well as neutron and electron EDMs are easily
within experimental bounds. The most striking phenomenological distinction of
this model is the order one flavor violation in the squark and slepton sector,
while the Dirac gaugino masses tend to be significantly heavier than the
corresponding squark and slepton masses.
| hep-ph | we propose a new solution to the supersymmetric flavor problem without flavorblind mediation our proposal is to enforce a continuous or a suitably large discrete rsymmetry on weak scale supersymmetry so that majorana gaugino masses trilinear aterms and the muterm are forbidden we find that replacing the mssm with an rsymmetric supersymmetric model allows order one flavorviolating soft masses even for squarks of order a few hundred gev the minimal rsymmetric supersymmetric model contains dirac gaugino masses and rsymmetric higgsino masses with no leftright mixing in the squark or slepton sector dirac gaugino masses of order a few tev with vanishing aterms solve most flavor problems while the rsymmetric higgs sector becomes important at large tanbeta epsilon_k can be accommodated if cp is preserved in the susy breaking sector or if there is a moderate flavor degeneracy which can arise naturally epsilonepsilon as well as neutron and electron edms are easily within experimental bounds the most striking phenomenological distinction of this model is the order one flavor violation in the squark and slepton sector while the dirac gaugino masses tend to be significantly heavier than the corresponding squark and slepton masses | [['we', 'propose', 'a', 'new', 'solution', 'to', 'the', 'supersymmetric', 'flavor', 'problem', 'without', 'flavorblind', 'mediation', 'our', 'proposal', 'is', 'to', 'enforce', 'a', 'continuous', 'or', 'a', 'suitably', 'large', 'discrete', 'rsymmetry', 'on', 'weak', 'scale', 'supersymmetry', 'so', 'that', 'majorana', 'gaugino', 'masses', 'trilinear', 'aterms', 'and', 'the', 'muterm', 'are', 'forbidden', 'we', 'find', 'that', 'replacing', 'the', 'mssm', 'with', 'an', 'rsymmetric', 'supersymmetric', 'model', 'allows', 'order', 'one', 'flavorviolating', 'soft', 'masses', 'even', 'for', 'squarks', 'of', 'order', 'a', 'few', 'hundred', 'gev', 'the', 'minimal', 'rsymmetric', 'supersymmetric', 'model', 'contains', 'dirac', 'gaugino', 'masses', 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'than', 'the', 'corresponding', 'squark', 'and', 'slepton', 'masses']] | [-0.12258928913515822, 0.35752428860956115, 0.05575650654908718, 0.2584916023014562, -0.15094961903999068, -0.24394710109500867, 0.04115880948749824, 0.328617647035457, -0.19292377151856052, -0.31866858395898995, 0.0761558068690685, -0.2707473223271484, 0.015670794946097657, 0.07358291823690007, 0.0024489497013770395, 0.09045068843958226, 0.03545313908386956, -0.010586490800984555, -0.09008852848222391, -0.2440573634032443, 0.30184434750483063, -0.056978205061659064, 0.11707331307710231, 0.14391427127527395, 0.011283145476308168, -0.084866300527572, 0.06204643076363736, -0.14101825771287707, -0.044582006247627, 0.08195447124704153, 0.20521513858800314, 0.04505783467460912, 0.05972898214645879, -0.324601384338128, -0.13164383560999332, 0.252237694608584, 0.17359208762987044, 0.11297567152108567, -0.08855168365919719, -0.3233142000743729, 0.09986635994809773, -0.2585300474125326, -0.1091338027102863, 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0.08729442926818573, 0.2723440968234053, 0.06772727413402861, 0.17957433200891115, 0.01632729729793537, 0.315698944000498, 0.09522937742764062, 0.11298120961919506, -0.23885029961211188, -0.07242855752686633, 0.13302228126567617] |
712.204 | The New Ekpyrotic Ghost | The new ekpyrotic scenario attempts to solve the singularity problem by
involving violation of the null energy condition in a model which combines the
ekpyrotic/cyclic scenario with the ghost condensate theory and the curvaton
mechanism of production of adiabatic perturbations of metric. The Lagrangian of
this theory, as well as of the ghost condensate model, contains a term with
higher derivatives, which was added to the theory to stabilize its vacuum
state. We found that this term may affect the dynamics of the cosmological
evolution. Moreover, after a proper quantization, this term results in the
existence of a new ghost field with negative energy, which leads to a
catastrophic vacuum instability. We explain why one cannot treat this dangerous
term as a correction valid only at small energies and momenta below some UV
cut-off, and demonstrate the problems arising when one attempts to construct a
UV completion of this theory.
| hep-th astro-ph gr-qc hep-ph | the new ekpyrotic scenario attempts to solve the singularity problem by involving violation of the null energy condition in a model which combines the ekpyroticcyclic scenario with the ghost condensate theory and the curvaton mechanism of production of adiabatic perturbations of metric the lagrangian of this theory as well as of the ghost condensate model contains a term with higher derivatives which was added to the theory to stabilize its vacuum state we found that this term may affect the dynamics of the cosmological evolution moreover after a proper quantization this term results in the existence of a new ghost field with negative energy which leads to a catastrophic vacuum instability we explain why one cannot treat this dangerous term as a correction valid only at small energies and momenta below some uv cutoff and demonstrate the problems arising when one attempts to construct a uv completion of this theory | [['the', 'new', 'ekpyrotic', 'scenario', 'attempts', 'to', 'solve', 'the', 'singularity', 'problem', 'by', 'involving', 'violation', 'of', 'the', 'null', 'energy', 'condition', 'in', 'a', 'model', 'which', 'combines', 'the', 'ekpyroticcyclic', 'scenario', 'with', 'the', 'ghost', 'condensate', 'theory', 'and', 'the', 'curvaton', 'mechanism', 'of', 'production', 'of', 'adiabatic', 'perturbations', 'of', 'metric', 'the', 'lagrangian', 'of', 'this', 'theory', 'as', 'well', 'as', 'of', 'the', 'ghost', 'condensate', 'model', 'contains', 'a', 'term', 'with', 'higher', 'derivatives', 'which', 'was', 'added', 'to', 'the', 'theory', 'to', 'stabilize', 'its', 'vacuum', 'state', 'we', 'found', 'that', 'this', 'term', 'may', 'affect', 'the', 'dynamics', 'of', 'the', 'cosmological', 'evolution', 'moreover', 'after', 'a', 'proper', 'quantization', 'this', 'term', 'results', 'in', 'the', 'existence', 'of', 'a', 'new', 'ghost', 'field', 'with', 'negative', 'energy', 'which', 'leads', 'to', 'a', 'catastrophic', 'vacuum', 'instability', 'we', 'explain', 'why', 'one', 'can', 'not', 'treat', 'this', 'dangerous', 'term', 'as', 'a', 'correction', 'valid', 'only', 'at', 'small', 'energies', 'and', 'momenta', 'below', 'some', 'uv', 'cutoff', 'and', 'demonstrate', 'the', 'problems', 'arising', 'when', 'one', 'attempts', 'to', 'construct', 'a', 'uv', 'completion', 'of', 'this', 'theory']] | [-0.12538571394085637, 0.15738194795989968, -0.11949227672279966, 0.11949899862289108, -0.08136509485937507, -0.14125004232497207, 0.015172003664304533, 0.26433076200056943, -0.2677519210515581, -0.30036060676126686, 0.08348789868956519, -0.24031494405823728, -0.13941516643328383, 0.10123446563702841, -0.06594620679739542, 0.009833685814754555, 0.029094921252289355, 0.06346380733730679, -0.04999501023916466, -0.24153642203436781, 0.3615221445146479, 0.0820108682274917, 0.21553066730135373, 0.09633221368718621, 0.126661683081199, -0.03759563066040641, 0.019289516592907122, 0.011787914865286343, -0.13036140252259562, 0.05568703346028431, 0.18366682393480607, 0.08235627872906379, 0.2907514668485425, -0.41951676165771407, -0.27518296159113087, 0.13727443363048777, 0.11593744811749962, 0.17440309132902654, -0.039640273732312076, -0.23160655941777178, 0.0650543078027715, -0.18720176686773335, -0.189652382448587, -0.07250242052439428, -0.03893730815866999, -0.0670467217804383, -0.287632876694887, 0.11873938985761033, 0.03522530952329741, -0.03877501086457571, -0.09495939524606832, -0.03969005787967155, -0.015410016061096692, 0.051164975720773824, 0.13250626526643455, 0.06635848962661767, 0.0974803453292821, -0.18700704883012323, -0.10117851492689786, 0.39320177117374955, -0.12382275155677602, -0.17259334499596168, 0.14536963496357203, -0.11493286990332387, -0.1161012079609891, 0.1321051815179306, 0.11387853333279367, 0.12493576724020554, -0.12140191242991968, 0.11228743881266255, 0.025138833293296546, 0.13964573236564728, 0.08826951474716134, 0.052526155227659556, 0.2164387317614889, 0.10914596816099292, 0.04420776885397584, 0.13995201093921844, -0.0481719833132595, -0.11469856795811692, -0.4004024437548506, -0.1065693407424337, -0.1314410258343579, 0.06039548167715617, -0.06933295671546304, -0.21435267172001352, 0.3892308655225777, 0.14887350209061956, 0.2042062256565404, 0.028254321223550434, 0.30412253935124406, 0.12713244961133682, 0.10489119799223279, 0.022581940740408587, 0.28249563972272185, 0.10775021305276908, 0.12132991042715922, -0.25389948364236203, -0.0146842529127584, 0.07162774595993245] |
712.2041 | Phenomenology of Hidden Valleys at Hadron Colliders | We study the phenomenology of, and search techniques for, a class of "Hidden
Valleys." These models are characterized by low mass (well below a TeV) bound
states resulting from a confining gauge interaction in a hidden sector; the
states include a spin-one resonance that can decay to lepton pairs. Assuming
that the hidden sector communicates to the Standard Model (SM) through TeV
suppressed operators, taking into account the constraint from the $Z$ pole
physics at LEP, searches at Tevatron may be difficult in the particular class
of Hidden Valleys we consider, so that we concentrate on the searches at the
LHC. Hidden Valley events are characterized by high multiplicities of jets and
leptons in the final state. Depending on the scale of confinement in the hidden
sector, the events are typically more spherical, with lower thrust and higher
incidences of isolated leptons, than those from the SM background processes.
Most notably, high cluster invariant mass and very narrow, low mass resonances
in lepton pairs are the key observables to identify the signal. We use these
characteristics to develop a set of cuts to separate the Hidden Valley from SM,
and show that with these cuts LHC has a significant reach in the parameter
space. Our strategies are quite general and should apply well beyond the
particular class of models studied here.
| hep-ph | we study the phenomenology of and search techniques for a class of hidden valleys these models are characterized by low mass well below a tev bound states resulting from a confining gauge interaction in a hidden sector the states include a spinone resonance that can decay to lepton pairs assuming that the hidden sector communicates to the standard model sm through tev suppressed operators taking into account the constraint from the z pole physics at lep searches at tevatron may be difficult in the particular class of hidden valleys we consider so that we concentrate on the searches at the lhc hidden valley events are characterized by high multiplicities of jets and leptons in the final state depending on the scale of confinement in the hidden sector the events are typically more spherical with lower thrust and higher incidences of isolated leptons than those from the sm background processes most notably high cluster invariant mass and very narrow low mass resonances in lepton pairs are the key observables to identify the signal we use these characteristics to develop a set of cuts to separate the hidden valley from sm and show that with these cuts lhc has a significant reach in the parameter space our strategies are quite general and should apply well beyond the particular class of models studied here | [['we', 'study', 'the', 'phenomenology', 'of', 'and', 'search', 'techniques', 'for', 'a', 'class', 'of', 'hidden', 'valleys', 'these', 'models', 'are', 'characterized', 'by', 'low', 'mass', 'well', 'below', 'a', 'tev', 'bound', 'states', 'resulting', 'from', 'a', 'confining', 'gauge', 'interaction', 'in', 'a', 'hidden', 'sector', 'the', 'states', 'include', 'a', 'spinone', 'resonance', 'that', 'can', 'decay', 'to', 'lepton', 'pairs', 'assuming', 'that', 'the', 'hidden', 'sector', 'communicates', 'to', 'the', 'standard', 'model', 'sm', 'through', 'tev', 'suppressed', 'operators', 'taking', 'into', 'account', 'the', 'constraint', 'from', 'the', 'z', 'pole', 'physics', 'at', 'lep', 'searches', 'at', 'tevatron', 'may', 'be', 'difficult', 'in', 'the', 'particular', 'class', 'of', 'hidden', 'valleys', 'we', 'consider', 'so', 'that', 'we', 'concentrate', 'on', 'the', 'searches', 'at', 'the', 'lhc', 'hidden', 'valley', 'events', 'are', 'characterized', 'by', 'high', 'multiplicities', 'of', 'jets', 'and', 'leptons', 'in', 'the', 'final', 'state', 'depending', 'on', 'the', 'scale', 'of', 'confinement', 'in', 'the', 'hidden', 'sector', 'the', 'events', 'are', 'typically', 'more', 'spherical', 'with', 'lower', 'thrust', 'and', 'higher', 'incidences', 'of', 'isolated', 'leptons', 'than', 'those', 'from', 'the', 'sm', 'background', 'processes', 'most', 'notably', 'high', 'cluster', 'invariant', 'mass', 'and', 'very', 'narrow', 'low', 'mass', 'resonances', 'in', 'lepton', 'pairs', 'are', 'the', 'key', 'observables', 'to', 'identify', 'the', 'signal', 'we', 'use', 'these', 'characteristics', 'to', 'develop', 'a', 'set', 'of', 'cuts', 'to', 'separate', 'the', 'hidden', 'valley', 'from', 'sm', 'and', 'show', 'that', 'with', 'these', 'cuts', 'lhc', 'has', 'a', 'significant', 'reach', 'in', 'the', 'parameter', 'space', 'our', 'strategies', 'are', 'quite', 'general', 'and', 'should', 'apply', 'well', 'beyond', 'the', 'particular', 'class', 'of', 'models', 'studied', 'here']] | [-0.0736969355319951, 0.2377381321396763, -0.058145018550461974, 0.1586644778036559, -0.06892595676456607, -0.155115392898753, 0.04971087368508607, 0.3283540294568868, -0.241584711441058, -0.34658359331015615, 0.049469325094108736, -0.3068074153449673, -0.03303359958187285, 0.1383547738781283, 0.038404966388224326, 0.02741166677724199, 0.044777640602993884, 0.008237833758748698, -0.052377529956434105, -0.21279320265461452, 0.3219940814556242, 0.024155493303122024, 0.21608774844299986, 0.04855501410083601, 0.06765234522833341, 0.010585958747049937, -0.006774693301866227, -0.04352371965872642, -0.08583549760786155, 0.07913504163492302, 0.2167796501485861, 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712.2042 | Do broad absorption line quasars live in different environments from
ordinary quasars? | We select a sample of $\sim 4200$ traditionally defined broad absorption line
quasars (BALQs) from the Fifth Data Release quasar catalog of the Sloan Digital
Sky Survey. For a statistically homogeneous quasar sample with $1.7\le z\le
4.2$, the BAL quasar fraction is $\sim 14%$ and is almost constant with
redshift. We measure the auto-correlation of non-BAL quasars (nonBALQs) and the
cross-correlation of BALQs with nonBALQs using this statistically homogeneous
sample, both in redshift space and using the projected correlation function. We
find no significant difference between the clustering strengths of BALQs and
nonBALQs. Assuming a power-law model for the real space correlation function
$\xi(r)=(r/r_0)^{-1.8}$, the correlation length for nonBALQs is $r_0=7.6\pm 0.8
h^{-1}{\rm Mpc}$; for BALQs, the cross-correlation length is $r_0=7.4\pm 1.1
h^{-1}{\rm Mpc}$. Our clustering results suggest that BALQs live in similar
large-scale environments as do nonBALQs.
| astro-ph | we select a sample of sim 4200 traditionally defined broad absorption line quasars balqs from the fifth data release quasar catalog of the sloan digital sky survey for a statistically homogeneous quasar sample with 17le zle 42 the bal quasar fraction is sim 14 and is almost constant with redshift we measure the autocorrelation of nonbal quasars nonbalqs and the crosscorrelation of balqs with nonbalqs using this statistically homogeneous sample both in redshift space and using the projected correlation function we find no significant difference between the clustering strengths of balqs and nonbalqs assuming a powerlaw model for the real space correlation function xirrr_018 the correlation length for nonbalqs is r_076pm 08 h1rm mpc for balqs the crosscorrelation length is r_074pm 11 h1rm mpc our clustering results suggest that balqs live in similar largescale environments as do nonbalqs | [['we', 'select', 'a', 'sample', 'of', 'sim', '4200', 'traditionally', 'defined', 'broad', 'absorption', 'line', 'quasars', 'balqs', 'from', 'the', 'fifth', 'data', 'release', 'quasar', 'catalog', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'for', 'a', 'statistically', 'homogeneous', 'quasar', 'sample', 'with', '17le', 'zle', '42', 'the', 'bal', 'quasar', 'fraction', 'is', 'sim', '14', 'and', 'is', 'almost', 'constant', 'with', 'redshift', 'we', 'measure', 'the', 'autocorrelation', 'of', 'nonbal', 'quasars', 'nonbalqs', 'and', 'the', 'crosscorrelation', 'of', 'balqs', 'with', 'nonbalqs', 'using', 'this', 'statistically', 'homogeneous', 'sample', 'both', 'in', 'redshift', 'space', 'and', 'using', 'the', 'projected', 'correlation', 'function', 'we', 'find', 'no', 'significant', 'difference', 'between', 'the', 'clustering', 'strengths', 'of', 'balqs', 'and', 'nonbalqs', 'assuming', 'a', 'powerlaw', 'model', 'for', 'the', 'real', 'space', 'correlation', 'function', 'xirrr_018', 'the', 'correlation', 'length', 'for', 'nonbalqs', 'is', 'r_076pm', '08', 'h1rm', 'mpc', 'for', 'balqs', 'the', 'crosscorrelation', 'length', 'is', 'r_074pm', '11', 'h1rm', 'mpc', 'our', 'clustering', 'results', 'suggest', 'that', 'balqs', 'live', 'in', 'similar', 'largescale', 'environments', 'as', 'do', 'nonbalqs']] | [-0.07134496304163111, 0.035352286170306266, -0.026484886663896378, 0.10606504291375932, -0.08919455182439745, -0.05627939062985355, 0.0352916616334844, 0.48326999581516233, -0.1277073563298961, -0.35075238755028415, 0.029283899780877157, -0.3810000764705595, -0.01338591270927173, 0.20555358509265526, 0.06945216731488038, -0.019213797814740953, -0.033958721454185783, -0.14606833881298914, -0.033698970072949655, -0.2781063125732897, 0.2937616845227973, 0.05910177866810126, 0.25427759376201614, -0.08408571713701335, 0.12907502403116392, -0.038050963522070574, -0.17751587457510073, 0.06031918292126702, -0.14611011917153138, 0.0019499687964458074, 0.26195387011949917, 0.1583923766712672, 0.24664181221012416, -0.16161225452145375, -0.15885511520249185, 0.14728442122186744, 0.2174036186257961, 0.050772812341708246, -0.029585425026103188, -0.2695349784769507, 0.10414268472014732, -0.15404940323570548, -0.09976991159674614, 0.09650996179361619, 0.07718125592618347, 0.07466059062914895, -0.21295312152299753, 0.23762770334203073, -0.03304312320134199, 0.14701366377994418, -0.09727132445854593, -0.08448771723726792, -0.056367611137232675, 0.0378667292734191, -0.0363834710233956, 0.1250460650146341, 0.14616301370464932, -0.09072068219121768, -0.03478185975543613, 0.3872521554203287, -0.10703905451514606, -0.009639395637187496, 0.1500969366226936, -0.20062969724296717, -0.15709491765626998, 0.15139203007878568, 0.19890998533245788, 0.09110308965970415, -0.1422586755604664, 0.02466603101981776, -0.04946820914168467, 0.3443419980024224, -0.0031187880520166748, 0.04857963955971593, 0.22114032669576691, 0.06173916771980142, 0.07098283852040489, 0.06941086815239222, -0.2559048713101491, 0.018684474396894673, -0.26008103270458977, -0.0899382529175604, -0.17193894018766595, 0.12591425851056937, -0.22613114472296186, -0.1557421656916224, 0.34225017083947784, 0.11952274883471763, 0.2539046927608911, 0.18978457789478906, 0.2575573842110696, 0.06261926428189, 0.0928796382938901, 0.08960774057169459, 0.3160551514462637, 0.10555541021714626, 0.10171896539569429, -0.15583005486188262, 0.020627724715689227, -0.023229990237906797] |
712.2043 | Quantum modes in DBI inflation: exact solutions and constraints from
vacuum selection | We study a two-parameter family of exactly solvable inflation models with
variable sound speed, and derive a corresponding exact expression for the
spectrum of curvature perturbations. We generalize this expression to the slow
roll case, and derive an approximate expression for the scalar spectral index
valid to second order in slow roll. We apply the result to the case of DBI
inflation, and show that for certain choices of slow roll parameters, the
Bunch-Davies limit (a) does not exist, or (b) is sensitive to stringy physics
in the bulk, which in principle can have observable signatures in the
primordial power spectrum.
| astro-ph hep-th | we study a twoparameter family of exactly solvable inflation models with variable sound speed and derive a corresponding exact expression for the spectrum of curvature perturbations we generalize this expression to the slow roll case and derive an approximate expression for the scalar spectral index valid to second order in slow roll we apply the result to the case of dbi inflation and show that for certain choices of slow roll parameters the bunchdavies limit a does not exist or b is sensitive to stringy physics in the bulk which in principle can have observable signatures in the primordial power spectrum | [['we', 'study', 'a', 'twoparameter', 'family', 'of', 'exactly', 'solvable', 'inflation', 'models', 'with', 'variable', 'sound', 'speed', 'and', 'derive', 'a', 'corresponding', 'exact', 'expression', 'for', 'the', 'spectrum', 'of', 'curvature', 'perturbations', 'we', 'generalize', 'this', 'expression', 'to', 'the', 'slow', 'roll', 'case', 'and', 'derive', 'an', 'approximate', 'expression', 'for', 'the', 'scalar', 'spectral', 'index', 'valid', 'to', 'second', 'order', 'in', 'slow', 'roll', 'we', 'apply', 'the', 'result', 'to', 'the', 'case', 'of', 'dbi', 'inflation', 'and', 'show', 'that', 'for', 'certain', 'choices', 'of', 'slow', 'roll', 'parameters', 'the', 'bunchdavies', 'limit', 'a', 'does', 'not', 'exist', 'or', 'b', 'is', 'sensitive', 'to', 'stringy', 'physics', 'in', 'the', 'bulk', 'which', 'in', 'principle', 'can', 'have', 'observable', 'signatures', 'in', 'the', 'primordial', 'power', 'spectrum']] | [-0.14322497887481558, 0.1508143383199591, -0.10248317989972558, 0.11030589144603156, -0.09801758270212772, -0.17595257282275523, -0.009739831959054169, 0.29078710721897905, -0.24257924613810264, -0.2818401670221719, 0.09831266976560991, -0.1955951070044153, -0.1615494760629343, 0.19289807150241836, -0.06174257890514956, 0.04449266890561817, 0.02981902419654007, 0.08032620636432773, -0.03880976461620983, -0.18893623496820727, 0.2845121893022062, 0.045973922614708986, 0.25021498437306966, 0.0009598022552741931, 0.07437843999982176, -0.05063524604360066, 0.02775526784434177, -0.010560311372437984, -0.20844246505906328, 0.08749522557505177, 0.18287635770472058, 0.12904646336147102, 0.18507420920794554, -0.39662768808193505, -0.22545282903247246, 0.17910778179930725, 0.1475456372309144, 0.17874929002638315, 0.011713288913453274, -0.20087816269773215, 0.06204474349921145, -0.18211140420453825, -0.17678519041452667, -0.12618303539618703, 0.026222669279737636, -0.049964197314261355, -0.3287355446182929, 0.12205565246836383, 0.05230292374507921, -0.011696104501325943, -0.06332321599642239, -0.037852464179222535, -0.007738806959702679, 0.07926159819339097, 0.12741015649326884, -0.032271341688119536, 0.10809267332574518, -0.14619481680905538, -0.04835169155745407, 0.3820594516553971, -0.17625216865510965, -0.1994981307831436, 0.1131606724777139, -0.1729429581659007, -0.1646043587992392, 0.09772854871439314, 0.1638918083972565, 0.13640808844293403, -0.11016188638911832, 0.14288575434423337, 0.031157070329403597, 0.15013735687894986, 0.11976151291908015, 0.024390740730421672, 0.2172049094489453, 0.03806278832939149, 0.05470749756348974, 0.15522180829602894, -0.06486005022301164, -0.11765999043139048, -0.3757066383939421, -0.12672190323684107, -0.146655709814686, 0.08767686530012328, -0.12592180398489364, -0.21494743268531147, 0.42551109064739234, 0.12486160115458735, 0.19839353839138357, 0.0986367493676538, 0.2596348680297632, 0.16301593795824465, 0.011147272457843554, 0.0973799419773761, 0.2987358606521889, 0.112270091217712, 0.10894594110991104, -0.2010818469349069, 0.008155081557146835, 0.07358099034028405] |
712.2044 | Multiplicity Fluctuations in Nucleus-Nucleus Collisions: Dependence on
Energy and Atomic Number | Event-by-event multiplicity fluctuations in central C+C, S+S, In+In, and
Pb+Pb as well as p+p collisions at bombarding energies from 10 to 160 AGeV are
studied within the HSD and UrQMD microscopic transport approaches. Our
investigation is directly related to the future experimental program of the
NA61 Collaboration at the SPS for a search of the QCD critical point. The
dependence on energy and atomic mass number of the scaled variances for
negative, positive, and all charged hadrons is presented and compared to the
results of the model of independent sources. Furthermore, the nucleus-nucleus
results from the transport calculations are compared to inelastic proton-proton
collisions for reference. We find a dominant role of the participant number
fluctuations in nucleus-nucleus reactions at finite impact parameter $b$. In
order to reduce the influence of the participant numbers fluctuations on the
charged particle multiplicity fluctuations only the most central events have to
be selected. Accordingly, the samples of the 1% most central nucleus-nucleus
collisions with the largest numbers of the projectile participants are studied.
The results are compared with those for collisions at zero impact parameter. A
strong influence of the centrality selection criteria on the multiplicity
fluctuations is pointed out. Our findings are essential for an optimal choice
of colliding nuclei and bombarding energies for the experimental search of the
QCD critical point.
| nucl-th | eventbyevent multiplicity fluctuations in central cc ss inin and pbpb as well as pp collisions at bombarding energies from 10 to 160 agev are studied within the hsd and urqmd microscopic transport approaches our investigation is directly related to the future experimental program of the na61 collaboration at the sps for a search of the qcd critical point the dependence on energy and atomic mass number of the scaled variances for negative positive and all charged hadrons is presented and compared to the results of the model of independent sources furthermore the nucleusnucleus results from the transport calculations are compared to inelastic protonproton collisions for reference we find a dominant role of the participant number fluctuations in nucleusnucleus reactions at finite impact parameter b in order to reduce the influence of the participant numbers fluctuations on the charged particle multiplicity fluctuations only the most central events have to be selected accordingly the samples of the 1 most central nucleusnucleus collisions with the largest numbers of the projectile participants are studied the results are compared with those for collisions at zero impact parameter a strong influence of the centrality selection criteria on the multiplicity fluctuations is pointed out our findings are essential for an optimal choice of colliding nuclei and bombarding energies for the experimental search of the qcd critical point | [['eventbyevent', 'multiplicity', 'fluctuations', 'in', 'central', 'cc', 'ss', 'inin', 'and', 'pbpb', 'as', 'well', 'as', 'pp', 'collisions', 'at', 'bombarding', 'energies', 'from', '10', 'to', '160', 'agev', 'are', 'studied', 'within', 'the', 'hsd', 'and', 'urqmd', 'microscopic', 'transport', 'approaches', 'our', 'investigation', 'is', 'directly', 'related', 'to', 'the', 'future', 'experimental', 'program', 'of', 'the', 'na61', 'collaboration', 'at', 'the', 'sps', 'for', 'a', 'search', 'of', 'the', 'qcd', 'critical', 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712.2045 | Quantum Criticality in Heavy Fermion Metals | Quantum criticality describes the collective fluctuations of matter
undergoing a second-order phase transition at zero temperature. Heavy fermion
metals have in recent years emerged as prototypical systems to study quantum
critical points. There have been considerable efforts, both experimental and
theoretical, which use these magnetic systems to address problems that are
central to the broad understanding of strongly correlated quantum matter. Here,
we summarize some of the basic issues, including i) the extent to which the
quantum criticality in heavy fermion metals goes beyond the standard theory of
order-parameter fluctuations, ii) the nature of the Kondo effect in the quantum
critical regime, iii) the non-Fermi liquid phenomena that accompany quantum
criticality, and iv) the interplay between quantum criticality and
unconventional superconductivity.
| cond-mat.str-el cond-mat.supr-con quant-ph | quantum criticality describes the collective fluctuations of matter undergoing a secondorder phase transition at zero temperature heavy fermion metals have in recent years emerged as prototypical systems to study quantum critical points there have been considerable efforts both experimental and theoretical which use these magnetic systems to address problems that are central to the broad understanding of strongly correlated quantum matter here we summarize some of the basic issues including i the extent to which the quantum criticality in heavy fermion metals goes beyond the standard theory of orderparameter fluctuations ii the nature of the kondo effect in the quantum critical regime iii the nonfermi liquid phenomena that accompany quantum criticality and iv the interplay between quantum criticality and unconventional superconductivity | [['quantum', 'criticality', 'describes', 'the', 'collective', 'fluctuations', 'of', 'matter', 'undergoing', 'a', 'secondorder', 'phase', 'transition', 'at', 'zero', 'temperature', 'heavy', 'fermion', 'metals', 'have', 'in', 'recent', 'years', 'emerged', 'as', 'prototypical', 'systems', 'to', 'study', 'quantum', 'critical', 'points', 'there', 'have', 'been', 'considerable', 'efforts', 'both', 'experimental', 'and', 'theoretical', 'which', 'use', 'these', 'magnetic', 'systems', 'to', 'address', 'problems', 'that', 'are', 'central', 'to', 'the', 'broad', 'understanding', 'of', 'strongly', 'correlated', 'quantum', 'matter', 'here', 'we', 'summarize', 'some', 'of', 'the', 'basic', 'issues', 'including', 'i', 'the', 'extent', 'to', 'which', 'the', 'quantum', 'criticality', 'in', 'heavy', 'fermion', 'metals', 'goes', 'beyond', 'the', 'standard', 'theory', 'of', 'orderparameter', 'fluctuations', 'ii', 'the', 'nature', 'of', 'the', 'kondo', 'effect', 'in', 'the', 'quantum', 'critical', 'regime', 'iii', 'the', 'nonfermi', 'liquid', 'phenomena', 'that', 'accompany', 'quantum', 'criticality', 'and', 'iv', 'the', 'interplay', 'between', 'quantum', 'criticality', 'and', 'unconventional', 'superconductivity']] | [-0.14389826907306785, 0.26000920471481304, -0.07819082573718153, 0.08946032472308879, -0.011135622901334003, -0.2013533433922374, 0.07021885596442783, 0.26673081341153393, -0.24450909113896288, -0.25913791807968756, 0.03047426070052022, -0.3583198855015303, -0.18464762422694894, 0.1442304704923275, 0.010349513066178265, 0.09711772945424742, -0.07356514641245411, -0.01628978459896546, -0.12453680391777461, -0.21717029574523442, 0.3276485108100802, 0.0276104828933531, 0.3276890630926167, 0.118769290681913, 0.011132773962487613, -0.05137651744260153, 0.08143838724383146, 0.029817994362636168, -0.1371463647095173, 0.02922088177566809, 0.28955192750797043, 0.0065830221749872955, 0.25508547708856844, -0.4436348683454774, -0.2800913880817777, 0.08703628077926037, 0.13472652123675274, 0.15759490289766734, -0.10066375638212054, -0.29519477344987805, 0.03571630606027551, -0.1643912731729975, -0.14828871534598514, -0.10810196469826547, 0.002971609720521537, -0.021914824087428668, -0.15620589127748713, 0.10711259374102532, 0.07799224247232325, 0.10964844877492975, 0.012821569517331799, -0.10087789586660537, 0.03088097074184536, 0.1019758936902893, 0.06380583298794756, 0.013048963207551393, 0.16433314423746437, -0.20605905843544597, -0.17574747709926863, 0.39758362988210166, -0.01588788244503835, -0.03891653436513171, 0.2537199305832263, -0.18277354506883492, -0.14491259190446334, 0.10734192675272049, 0.1712126059319116, 0.03902775038818806, -0.10298873751986125, 0.11648378685580504, 0.009953538471571178, 0.13201852753943155, -0.08310734668038477, 0.13420494677776024, 0.33445195396515454, 0.1803981016297663, -0.01914182870671892, 0.09939072391572447, -0.07238112070620799, -0.22983442172254168, -0.2969479208334911, -0.1699301317211025, -0.17546496706560624, 0.06082473521521084, -0.043329853471777445, -0.20666915471550107, 0.4006541098722003, 0.23299325573111862, 0.1795932220849247, -0.09105139398323911, 0.20708280635520446, 0.11362393254949134, 0.03002705645539667, 0.0439507736755181, 0.26713220208372407, 0.17308035622397053, 0.16008411167759048, -0.30259982294841736, 0.03693986156943816, 0.03942505500571848] |
712.2046 | Diviseur Theta et Formes Differentielles | In this papers, we study the geometric and arithmetic properties of the theta
divisor associated to the sheaf of locally exact differential forms over a
curve in positive characteristic. In this published version, we prove a
stronger version of the main result of chapiter 5.
| math.AG | in this papers we study the geometric and arithmetic properties of the theta divisor associated to the sheaf of locally exact differential forms over a curve in positive characteristic in this published version we prove a stronger version of the main result of chapiter 5 | [['in', 'this', 'papers', 'we', 'study', 'the', 'geometric', 'and', 'arithmetic', 'properties', 'of', 'the', 'theta', 'divisor', 'associated', 'to', 'the', 'sheaf', 'of', 'locally', 'exact', 'differential', 'forms', 'over', 'a', 'curve', 'in', 'positive', 'characteristic', 'in', 'this', 'published', 'version', 'we', 'prove', 'a', 'stronger', 'version', 'of', 'the', 'main', 'result', 'of', 'chapiter', '5']] | [-0.21322327367538077, -0.017646154007789763, -0.13676186380061237, 0.09362655394943431, -0.04998595510948111, -0.0724480220074342, 0.010771121237088333, 0.2963332408531146, -0.31956216671758075, -0.2349307602694766, 0.07840732859966176, -0.2338930351384492, -0.18081639659464022, 0.2344504900022664, -0.15664895306426016, -0.004281623775816776, 0.03014689302918586, 0.08013701739467004, -0.10430632571859116, -0.2911340743303299, 0.3976413132622838, -0.01567387750202959, 0.18340057308192959, 0.05461363820623691, 0.0770385929605585, 0.022002520399506797, -0.057907502886585215, 0.010761544701050629, -0.20491638826206326, 0.18064063376831738, 0.24897779401561076, 0.06751694599568675, 0.2552219708873467, -0.36475225614214485, -0.12001263665628027, 0.15034709729000248, 0.08101619390601461, 0.07067748114720664, -0.006450503180861811, -0.21627949199385263, 0.13858566354875537, -0.15126461967487226, -0.20679517795162444, 0.0010541955178434198, 0.05120216595770961, 0.042741460106547245, -0.19368577727370642, 0.03761963969604536, 0.1294451204805889, 0.16436351103369484, -0.06751934328878467, -0.1124440544623543, 0.02328035586767576, 0.0003614150495691733, 0.04255767513743856, 0.06166550703611309, 0.038115677487274464, -0.12761513113086534, -0.0864095119336112, 0.31826513360085135, -0.1426013267429715, -0.1677309606562961, 0.10276255003091964, -0.18895719276571815, -0.18071799420497633, 0.11254337680822407, 0.14499975808642127, 0.16863584497266196, -0.05795113833896308, 0.11073597677089063, -0.11956638961353085, 0.1398315257816152, 0.09598009753972292, 0.007281465413556857, 0.09986567447247746, 0.06579095259605144, 0.07177334702150388, 0.1731446745636111, -0.017461424610122445, -0.08897559311166829, -0.3782847262918949, -0.23728008325666783, -0.09520099926422435, 0.1639000993560661, -0.07204923574483307, -0.17811800014566292, 0.461286997676573, 0.09606615734413605, 0.20828921764239733, 0.11321802180662582, 0.2527383267879486, 0.11041662557479205, 0.0353096524274654, 0.04087596511552957, 0.1519367821694521, 0.20777400532229381, 0.04709415635972453, -0.13849896712186324, 0.044156476029787554, 0.1546565725319934] |
712.2047 | A geometric theory of swimming: Purcell's swimmer and its symmetrized
cousin | We develop a qualitative geometric approach to swimming at low Reynolds
number which avoids solving differential equations and uses instead landscape
figures of two notions of curvatures: The swimming curvature and the curvature
derived from dissipation. This approach gives complete information for swimmers
that swim on a line without rotations and gives the main qualitative features
for general swimmers that can also rotate. We illustrate this approach for a
symmetric version of Purcell's swimmer which we solve by elementary analytical
means within slender body theory. We then apply the theory to derive the basic
qualitative properties of Purcell's swimmer.
| physics.flu-dyn physics.bio-ph | we develop a qualitative geometric approach to swimming at low reynolds number which avoids solving differential equations and uses instead landscape figures of two notions of curvatures the swimming curvature and the curvature derived from dissipation this approach gives complete information for swimmers that swim on a line without rotations and gives the main qualitative features for general swimmers that can also rotate we illustrate this approach for a symmetric version of purcells swimmer which we solve by elementary analytical means within slender body theory we then apply the theory to derive the basic qualitative properties of purcells swimmer | [['we', 'develop', 'a', 'qualitative', 'geometric', 'approach', 'to', 'swimming', 'at', 'low', 'reynolds', 'number', 'which', 'avoids', 'solving', 'differential', 'equations', 'and', 'uses', 'instead', 'landscape', 'figures', 'of', 'two', 'notions', 'of', 'curvatures', 'the', 'swimming', 'curvature', 'and', 'the', 'curvature', 'derived', 'from', 'dissipation', 'this', 'approach', 'gives', 'complete', 'information', 'for', 'swimmers', 'that', 'swim', 'on', 'a', 'line', 'without', 'rotations', 'and', 'gives', 'the', 'main', 'qualitative', 'features', 'for', 'general', 'swimmers', 'that', 'can', 'also', 'rotate', 'we', 'illustrate', 'this', 'approach', 'for', 'a', 'symmetric', 'version', 'of', 'purcells', 'swimmer', 'which', 'we', 'solve', 'by', 'elementary', 'analytical', 'means', 'within', 'slender', 'body', 'theory', 'we', 'then', 'apply', 'the', 'theory', 'to', 'derive', 'the', 'basic', 'qualitative', 'properties', 'of', 'purcells', 'swimmer']] | [-0.11884128020028584, 0.10236236413545681, -0.15206648645489806, 0.06250459622742251, -0.12717023434710095, -0.15597792313142558, -0.0006797176084923323, 0.33428183148116475, -0.24921644780775437, -0.3009943071931525, 0.012203992240958743, -0.22432233443991703, -0.24447961157303058, 0.1872776538307656, -0.14448834715100625, 0.030450713674942353, 0.02878497613622158, 0.001060315351368803, -0.007476603960373787, -0.15804663493599028, 0.26299370498857416, -0.02487891260534525, 0.25057599416962173, 0.05568290532994639, 0.17817842381808793, 0.0035245103827404854, 0.026868465836300995, 0.10011533396600773, -0.237480780594974, 0.16701057024130767, 0.20075914172944848, 0.0731094743294472, 0.23582103446765681, -0.4682495819423536, -0.1824125451755456, 0.020807708091469423, 0.1659432954432424, 0.19164173319939326, -0.031098123617479673, -0.24435090834293702, 0.08778842035304717, -0.13033409234173973, -0.19025575597723476, -0.14723621547748947, 0.01588579067828679, 0.04852392819399635, -0.23001792222600093, 0.09489917129864964, 0.09613910631624738, 0.1199331676794423, -0.09465330849975498, -0.0636686387347208, 0.011836292857134884, 0.09681232809794671, 0.08597028701133425, -0.0371284602983676, 0.19089806357379815, -0.11767753368394092, -0.09523706230325531, 0.39786947514824195, -0.02902468763917421, -0.2979361401362853, 0.16943071541056565, -0.10803159395693754, -0.09209544799582224, 0.13907584730027753, 0.20846514021883708, 0.12839305799953038, -0.11745526952518508, 0.022517243389338915, -0.08281801843244319, 0.12486211826079384, 0.09031798596719676, -0.07925903477477889, 0.17292014812354486, 0.12333677693345406, 0.08614106935853458, 0.1555936782141075, -0.038897721517849905, -0.15012190342560938, -0.33464650422184156, -0.14927596921533948, -0.14335308504065103, 0.06046628425217638, -0.12295397187449682, -0.13992913642126803, 0.41071305858592194, 0.13807587520774417, 0.18178139529614287, 0.15565437599640303, 0.3343988477882713, 0.06661058050777877, 0.0021139598913688324, 0.08112266838475309, 0.2483720465732569, 0.17797430306720086, 0.11318959837139707, -0.2188924322248145, 0.006132939275391776, 0.16593954921935242] |
712.2048 | Correspondence Between the Phase Diagrams of TIP5P Water and a
Spherically Symmetric Repulsive Ramp Potential | We perform molecular dynamics simulations of a well-known water model (the
TIP5P pair potential) and a simple liquid model (a two-scale repulsive ramp
potential) to compare the regions of anomalous behavior in their phase
diagrams. We select the parameters of the ramp potential by mapping it to an
effective pair potential derived from the TIP5P model. We find that the regions
of anomalous behavior in the phase diagrams of both systems can be mapped onto
each other if (i) pressure $P$ and temperature $T$ are replaced by $T-T_{C}$
and $P-P_{C}$, respectively, where $(T_{C},P_{C})$ are the coordinates of the
liquid-liquid critical point of the corresponding system; and (ii) a single
ramp particle corresponds to two TIP5P molecules. We present heuristic
arguments supporting point (ii). We also argue that the water-like anomalies in
the ramp potential are due to the ability of the particles to reproduce, upon
compression or heating, the migration of water molecules from the second shell
to its first shell.
| cond-mat.soft cond-mat.stat-mech | we perform molecular dynamics simulations of a wellknown water model the tip5p pair potential and a simple liquid model a twoscale repulsive ramp potential to compare the regions of anomalous behavior in their phase diagrams we select the parameters of the ramp potential by mapping it to an effective pair potential derived from the tip5p model we find that the regions of anomalous behavior in the phase diagrams of both systems can be mapped onto each other if i pressure p and temperature t are replaced by tt_c and pp_c respectively where t_cp_c are the coordinates of the liquidliquid critical point of the corresponding system and ii a single ramp particle corresponds to two tip5p molecules we present heuristic arguments supporting point ii we also argue that the waterlike anomalies in the ramp potential are due to the ability of the particles to reproduce upon compression or heating the migration of water molecules from the second shell to its first shell | [['we', 'perform', 'molecular', 'dynamics', 'simulations', 'of', 'a', 'wellknown', 'water', 'model', 'the', 'tip5p', 'pair', 'potential', 'and', 'a', 'simple', 'liquid', 'model', 'a', 'twoscale', 'repulsive', 'ramp', 'potential', 'to', 'compare', 'the', 'regions', 'of', 'anomalous', 'behavior', 'in', 'their', 'phase', 'diagrams', 'we', 'select', 'the', 'parameters', 'of', 'the', 'ramp', 'potential', 'by', 'mapping', 'it', 'to', 'an', 'effective', 'pair', 'potential', 'derived', 'from', 'the', 'tip5p', 'model', 'we', 'find', 'that', 'the', 'regions', 'of', 'anomalous', 'behavior', 'in', 'the', 'phase', 'diagrams', 'of', 'both', 'systems', 'can', 'be', 'mapped', 'onto', 'each', 'other', 'if', 'i', 'pressure', 'p', 'and', 'temperature', 't', 'are', 'replaced', 'by', 'tt_c', 'and', 'pp_c', 'respectively', 'where', 't_cp_c', 'are', 'the', 'coordinates', 'of', 'the', 'liquidliquid', 'critical', 'point', 'of', 'the', 'corresponding', 'system', 'and', 'ii', 'a', 'single', 'ramp', 'particle', 'corresponds', 'to', 'two', 'tip5p', 'molecules', 'we', 'present', 'heuristic', 'arguments', 'supporting', 'point', 'ii', 'we', 'also', 'argue', 'that', 'the', 'waterlike', 'anomalies', 'in', 'the', 'ramp', 'potential', 'are', 'due', 'to', 'the', 'ability', 'of', 'the', 'particles', 'to', 'reproduce', 'upon', 'compression', 'or', 'heating', 'the', 'migration', 'of', 'water', 'molecules', 'from', 'the', 'second', 'shell', 'to', 'its', 'first', 'shell']] | [-0.1252407859050436, 0.13082287037987045, -0.0889054385770578, 0.04122339831665158, -0.006689700167044066, -0.1644175444234861, 0.10268837145413272, 0.3685124942043331, -0.27921371678530704, -0.2673380882362835, 0.06342520945545402, -0.3109175749385031, -0.1392517010316169, 0.12749747884881799, 0.032175449893111364, 0.012906347842726974, -0.004938916952232831, 0.020764704175235238, -0.06346225911693182, -0.18235479795548598, 0.2962057202268625, 0.04019393080434384, 0.2318193855593563, 0.06873295529512688, 0.060574842177447866, -0.05082523851078804, 0.030803800911235156, 0.02992976214445662, -0.15958377960823783, 0.043193766399053854, 0.16561683069448918, 0.046303295694087865, 0.20120840733870865, -0.4298212288878858, -0.2274789220886305, 0.1056818343611667, 0.13934763222932817, 0.12361383362440392, -0.046302972859120925, -0.2489996243326459, 0.03650764762714971, -0.15581809436844196, -0.16839462400530464, -0.06161644879466621, 0.02941747030890838, 0.07333026534452074, -0.2617601032485254, 0.07849167110362032, 0.03657807291019708, 0.03867408047663048, -0.08716841461900912, -0.08875175817302079, -0.06129423338570632, 0.11565949114956312, 0.03325936086257571, 0.03949321492109448, 0.18502813258965034, -0.17134970672195776, -0.06264135976671241, 0.4155173725564964, -0.08792417593649589, -0.14743079155887245, 0.24586133274860913, -0.14422510232834612, -0.07868323184084147, 0.1767763738091162, 0.1384351833083201, 0.08675557335373014, -0.1588082506961655, 0.04960186145908665, 0.005814911243214737, 0.1495696854970447, 0.03330958821752574, -0.053274761434295215, 0.24211745897773654, 0.15577246938482858, 0.011660267860861495, 0.16362607610608393, -0.14137747402128298, -0.1350155551917851, -0.30585859022321527, -0.15633634443984193, -0.16697592050477397, -0.03170359296491369, -0.09209998123951664, -0.1603690651973011, 0.35493011942016894, 0.16268665942043298, 0.21826323683017107, 0.010977462148002815, 0.25056709689088164, 0.09951608084375038, 0.050781038858985994, 0.0606773255411099, 0.24839967921143397, 0.08272334665816743, 0.10501224137260579, -0.2742432324319452, 0.03306410682853311, 0.07877947636443423] |
712.2049 | Moving codimension-one subvarieties over finite fields | We give the first examples of nef line bundles on smooth projective varieties
over finite fields which are not semi-ample. More concretely, we find smooth
curves on smooth projective surfaces over finite fields such that the normal
bundle has degree zero, but no positive multiple of the curve moves in a family
of disjoint curves. This answers questions by Keel and Mumford.
The proof uses an obstruction theory, in the spirit of homotopy theory, which
links the infinitely many obstructions to moving higher and higher multiples of
a given codimension-one subvariety.
On 3-folds over a finite field, we find nef and big line bundles which are
not semi-ample. Finally, we reprove some of the known positive results about
semi-ampleness over finite fields.
| math.AG math.NT | we give the first examples of nef line bundles on smooth projective varieties over finite fields which are not semiample more concretely we find smooth curves on smooth projective surfaces over finite fields such that the normal bundle has degree zero but no positive multiple of the curve moves in a family of disjoint curves this answers questions by keel and mumford the proof uses an obstruction theory in the spirit of homotopy theory which links the infinitely many obstructions to moving higher and higher multiples of a given codimensionone subvariety on 3folds over a finite field we find nef and big line bundles which are not semiample finally we reprove some of the known positive results about semiampleness over finite fields | [['we', 'give', 'the', 'first', 'examples', 'of', 'nef', 'line', 'bundles', 'on', 'smooth', 'projective', 'varieties', 'over', 'finite', 'fields', 'which', 'are', 'not', 'semiample', 'more', 'concretely', 'we', 'find', 'smooth', 'curves', 'on', 'smooth', 'projective', 'surfaces', 'over', 'finite', 'fields', 'such', 'that', 'the', 'normal', 'bundle', 'has', 'degree', 'zero', 'but', 'no', 'positive', 'multiple', 'of', 'the', 'curve', 'moves', 'in', 'a', 'family', 'of', 'disjoint', 'curves', 'this', 'answers', 'questions', 'by', 'keel', 'and', 'mumford', 'the', 'proof', 'uses', 'an', 'obstruction', 'theory', 'in', 'the', 'spirit', 'of', 'homotopy', 'theory', 'which', 'links', 'the', 'infinitely', 'many', 'obstructions', 'to', 'moving', 'higher', 'and', 'higher', 'multiples', 'of', 'a', 'given', 'codimensionone', 'subvariety', 'on', '3folds', 'over', 'a', 'finite', 'field', 'we', 'find', 'nef', 'and', 'big', 'line', 'bundles', 'which', 'are', 'not', 'semiample', 'finally', 'we', 'reprove', 'some', 'of', 'the', 'known', 'positive', 'results', 'about', 'semiampleness', 'over', 'finite', 'fields']] | [-0.22176896587308098, 0.06332033863074059, -0.09204737499325735, 0.09042391411055521, -0.11267538324425944, -0.1915632417066725, 0.010116924221396493, 0.3648205470202155, -0.2678872694062894, -0.17806116184677745, 0.07503321439363674, -0.25069772552882064, -0.1588102768282177, 0.25850834920391685, -0.1906282704105967, -0.026996465537269584, 0.018393158863039046, 0.07528706633898079, -0.10337595519472341, -0.38829270009901834, 0.4548068168595983, -0.09659545740196634, 0.2302561069500967, 0.12222966269712102, 0.13831154928069378, 0.00862257069999688, 0.011581485804750538, 0.02334010229850585, -0.15494768142340692, 0.13345958616777293, 0.31420811137459315, 0.10441841694648515, 0.2050208353483286, -0.38077046980195844, -0.2120721654615319, 0.24537529668973027, 0.13663092746826835, 0.048281037669483814, -0.004618453840581036, -0.2343057287612655, 0.10926621467577385, -0.10405580721880008, -0.18516606768425248, -0.10432761283515052, 0.04331977661321184, 0.04628461567288051, -0.1437713500273559, -0.06686574633645474, 0.10855732521053678, 0.21565634343147155, -0.04809731440656803, -0.08701501164363971, -0.09625500750147784, 0.017159339296249826, 0.039221471267156915, 0.05539966741630227, 0.08336474633557134, -0.09749164519503285, -0.12344971920943773, 0.32450140767003655, -0.09999697286965799, -0.20887323942218647, 0.13536561185066573, -0.1496074095715007, -0.11092918095098747, 0.23002184290805314, 0.0997620525103841, 0.24002477626667404, 0.043946705804374375, 0.14753502036576527, -0.13799884246631725, 0.07840631106776781, 0.11932016246127666, -0.06420314658650762, 0.17128820889858437, 0.012400323525071144, 0.11677376425120842, 0.050232028474145735, -0.015697489891460806, -0.08883204680894212, -0.3927238229628782, -0.21319520609552559, -0.08242937627049987, 0.1974837034217895, -0.11006975820305716, -0.22118520802535788, 0.3948813427667149, 0.03615513580210018, 0.2596896634910439, 0.1452888280991083, 0.25283364269149594, 0.011743404183987161, 0.04526951379661799, 0.06615234952568855, 0.14020448730858692, 0.2264269700476167, -0.015510214118622854, -0.0616477708939127, -0.03548233789968167, 0.15072336645613685] |
712.205 | Search of S3 LIGO data for gravitational wave signals from spinning
black hole and neutron star binary inspirals | We report on the methods and results of the first dedicated search for
gravitational waves emitted during the inspiral of compact binaries with
spinning component bodies. We analyze 788 hours of data collected during the
third science run (S3) of the LIGO detectors. We searched for binary systems
using a detection template family designed specially to capture the effects of
the spin-induced precession of the orbital plane. We present details of the
techniques developed to enable this search for spin-modulated gravitational
waves, highlighting the differences between this and other recent searches for
binaries with non-spinning components. The template bank we employed was found
to yield high matches with our spin-modulated target waveform for binaries with
masses in the asymmetric range 1.0 Msol < m1 < 3.0 Msol and 12.0 Msol < m2 <
20.0 Msol which is where we would expect the spin of the binary's components to
have significant effect. We find that our search of S3 LIGO data had good
sensitivity to binaries in the Milky Way and to a small fraction of binaries in
M31 and M33 with masses in the range 1.0 Msol < m1, m2 < 20.0 Msol. No
gravitational wave signals were identified during this search. Assuming a
binary population with spinning components and Gaussian distribution of masses
representing a prototypical neutron star - black hole system with m1 ~ 1.35
Msol and m2 ~ 5 Msol, we calculate the 90%-confidence upper limit on the rate
of coalescence of these systems to be 15.9 yr^-1 L_10^-1, where L_10 is 10^10
times the blue light luminosity of the Sun.
| gr-qc | we report on the methods and results of the first dedicated search for gravitational waves emitted during the inspiral of compact binaries with spinning component bodies we analyze 788 hours of data collected during the third science run s3 of the ligo detectors we searched for binary systems using a detection template family designed specially to capture the effects of the spininduced precession of the orbital plane we present details of the techniques developed to enable this search for spinmodulated gravitational waves highlighting the differences between this and other recent searches for binaries with nonspinning components the template bank we employed was found to yield high matches with our spinmodulated target waveform for binaries with masses in the asymmetric range 10 msol m1 30 msol and 120 msol m2 200 msol which is where we would expect the spin of the binarys components to have significant effect we find that our search of s3 ligo data had good sensitivity to binaries in the milky way and to a small fraction of binaries in m31 and m33 with masses in the range 10 msol m1 m2 200 msol no gravitational wave signals were identified during this search assuming a binary population with spinning components and gaussian distribution of masses representing a prototypical neutron star black hole system with m1 135 msol and m2 5 msol we calculate the 90confidence upper limit on the rate of coalescence of these systems to be 159 yr1 l_101 where l_10 is 1010 times the blue light luminosity of the sun | [['we', 'report', 'on', 'the', 'methods', 'and', 'results', 'of', 'the', 'first', 'dedicated', 'search', 'for', 'gravitational', 'waves', 'emitted', 'during', 'the', 'inspiral', 'of', 'compact', 'binaries', 'with', 'spinning', 'component', 'bodies', 'we', 'analyze', '788', 'hours', 'of', 'data', 'collected', 'during', 'the', 'third', 'science', 'run', 's3', 'of', 'the', 'ligo', 'detectors', 'we', 'searched', 'for', 'binary', 'systems', 'using', 'a', 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712.2051 | Dirac-Sobolev inequalities and estimates for the zero modes of massless
Dirac operators | The paper analyses the decay of any zero modes that might exist for a
massless Dirac operator $H:= \ba \cdot (1/i) \bgrad + Q, $ where $Q$ is $4
\times 4$-matrix-valued and of order $O(|\x|^{-1})$ at infinity. The approach
is based on inversion with respect to the unit sphere in $\R^3$ and
establishing embedding theorems for Dirac-Sobolev spaces of spinors $f$ which
are such that $f$ and $Hf$ lie in $(L^p(\R^3))^4, 1\le p<\infty.$
| math.SP math-ph math.MP | the paper analyses the decay of any zero modes that might exist for a massless dirac operator h ba cdot 1i bgrad q where q is 4 times 4matrixvalued and of order ox1 at infinity the approach is based on inversion with respect to the unit sphere in r3 and establishing embedding theorems for diracsobolev spaces of spinors f which are such that f and hf lie in lpr34 1le pinfty | [['the', 'paper', 'analyses', 'the', 'decay', 'of', 'any', 'zero', 'modes', 'that', 'might', 'exist', 'for', 'a', 'massless', 'dirac', 'operator', 'h', 'ba', 'cdot', '1i', 'bgrad', 'q', 'where', 'q', 'is', '4', 'times', '4matrixvalued', 'and', 'of', 'order', 'ox1', 'at', 'infinity', 'the', 'approach', 'is', 'based', 'on', 'inversion', 'with', 'respect', 'to', 'the', 'unit', 'sphere', 'in', 'r3', 'and', 'establishing', 'embedding', 'theorems', 'for', 'diracsobolev', 'spaces', 'of', 'spinors', 'f', 'which', 'are', 'such', 'that', 'f', 'and', 'hf', 'lie', 'in', 'lpr34', '1le', 'pinfty']] | [-0.15286012397914686, 0.14967659344513187, -0.02347987885449958, 0.02719134764458217, -0.036632883963380554, -0.18603694008197635, 0.011879204736460987, 0.35389023134484887, -0.21575381997150972, -0.2045502307223882, 0.09823665916337632, -0.34654743585954695, -0.08465460972750888, 0.1390056848176755, -0.01651695717865711, 0.020818953138693946, -0.0012974607200115262, 0.10717046759108438, -0.11584376824526664, -0.22795594609616435, 0.3364903721958399, -0.06440116949927281, 0.19142007303033845, 0.019658301237915808, 0.04306119880793096, -0.0018405582762652023, 0.05825485603418201, -0.056941074195920545, -0.165566403139083, 0.09290905406369883, 0.25317863761173454, 0.08005842480890672, 0.2476174284101409, -0.3686776940491708, -0.14556626702645137, 0.18351557178368025, 0.2016881516422419, -0.04894233319689246, -0.00019520065945792287, -0.24858330153202748, 0.13395880481830852, -0.07038339116501019, -0.1401452601147706, -0.06226892473504824, 0.08939310194075327, -0.00423974846232929, -0.35770816123113036, 0.06005206720232416, 0.1495338146478924, 0.04671423647360986, -0.08518124832634759, -0.1732564691166558, -0.05505010443191756, 0.04611473694881972, 0.049197715919410044, 0.12841940057628295, 0.0549238887427183, -0.031871810308931506, -0.08034826287835398, 0.3813800896545324, -0.07463723695871201, -0.23713043426601765, 0.12444368800189455, -0.20073049666483284, -0.14408884680254713, 0.07858021546031951, 0.11354070532765678, 0.15773518413633986, -0.03515945128439104, 0.25326928131792503, -0.04447319203823367, 0.10654268345302519, 0.12701643471304766, 0.04123401262811111, 0.10029550398672547, 0.05617941562634181, 0.11277617481263245, 0.038507893517175144, -0.048413600426797265, -0.003933474674019688, -0.37493245991166024, -0.21335840605966308, -0.1794183621840442, 0.10289751579437185, -0.11702537496924326, -0.13362245825941071, 0.32354018107220966, 0.05722612372654326, 0.19778825392302893, 0.07338514043572907, 0.20832534586353338, 0.1352815819109845, 0.0520024195943466, 0.10566470283083618, 0.1596664331137778, 0.15589497095960028, 0.03003918475416653, -0.16081214254389872, -0.060005311350858605, 0.1389588698922821] |
712.2052 | Isogenies of supersingular elliptic curves over finite fields and
operations in elliptic cohomology | We investigate stable operations in supersingular elliptic cohomology using
isogenies of supersingular elliptic curves over finite fields. Our main results
provide a framework in which we give a conceptually simple proof of an elliptic
cohomology version of the Morava change of rings theorem and also gives models
for explicit stable operations in terms of isogenies and morphisms in certain
enlarged isogeny categories. We relate our work to that of G. Robert on the
Hecke algebra structure of the ring of supersingular modular forms.
| math.AT math.AG | we investigate stable operations in supersingular elliptic cohomology using isogenies of supersingular elliptic curves over finite fields our main results provide a framework in which we give a conceptually simple proof of an elliptic cohomology version of the morava change of rings theorem and also gives models for explicit stable operations in terms of isogenies and morphisms in certain enlarged isogeny categories we relate our work to that of g robert on the hecke algebra structure of the ring of supersingular modular forms | [['we', 'investigate', 'stable', 'operations', 'in', 'supersingular', 'elliptic', 'cohomology', 'using', 'isogenies', 'of', 'supersingular', 'elliptic', 'curves', 'over', 'finite', 'fields', 'our', 'main', 'results', 'provide', 'a', 'framework', 'in', 'which', 'we', 'give', 'a', 'conceptually', 'simple', 'proof', 'of', 'an', 'elliptic', 'cohomology', 'version', 'of', 'the', 'morava', 'change', 'of', 'rings', 'theorem', 'and', 'also', 'gives', 'models', 'for', 'explicit', 'stable', 'operations', 'in', 'terms', 'of', 'isogenies', 'and', 'morphisms', 'in', 'certain', 'enlarged', 'isogeny', 'categories', 'we', 'relate', 'our', 'work', 'to', 'that', 'of', 'g', 'robert', 'on', 'the', 'hecke', 'algebra', 'structure', 'of', 'the', 'ring', 'of', 'supersingular', 'modular', 'forms']] | [-0.23371395658342595, 0.001440763951970702, -0.2210354114243065, 0.07842386625033904, -0.09362947448235319, -0.13896511501845826, -0.029869418041443968, 0.3081165892352541, -0.3528810410019773, -0.24083070721791452, 0.053786935935537496, -0.2031681215985263, -0.13986494672675448, 0.27559037178934337, -0.23399112025747099, -0.016179134104266225, 0.07386673467951906, 0.08426923218711997, -0.0980812611692327, -0.35333496537227854, 0.4332616281617119, -0.029051189636250575, 0.2139727567064475, 0.06601885039673512, 0.0778918455141675, 0.05513672490817416, -0.0208037792177624, -0.11107454134757261, -0.15759594012263964, 0.21082788274948855, 0.3847551149453674, -0.0004429166227668883, 0.132206031112898, -0.415328946548054, -0.06546099738116903, 0.19537146596507315, 0.10271846008184085, 0.0338157366116879, -0.03821179089388889, -0.21468317405466575, 0.07254501495016627, -0.23177046325416809, -0.17034421314721007, -0.14915694117108472, 0.07100011164277613, 0.03979522817914026, -0.21314693739180487, -0.012728610943164116, 0.13360047725966223, 0.2521893473521593, -0.09390028057821903, -0.09206675151811845, -0.03318559188193765, 0.022473631617444825, -0.03774183835407876, -0.004821817121322614, 0.08860377157219203, -0.12593892298593937, -0.1572970780824502, 0.3539073427308755, -0.07888046431029777, -0.14396589341382665, 0.08522790281034737, -0.11926979638344373, -0.16866379804595047, 0.12763499728886477, 0.11661880106541765, 0.19400097884192882, 0.02871850827436737, 0.17833478872086403, -0.14766522770725102, 0.06667571097993887, 0.117468953424369, -0.043549404844237735, 0.09053505428629108, 0.053173989009852686, 0.047097435642204935, 0.15605911628079477, 0.06129666542106992, -0.041421074773667445, -0.3883786311889269, -0.21723561437733202, -0.03886213115169611, 0.1246954241251371, -0.11064036265653783, -0.18038565129131437, 0.5129985552595322, 0.09582684023575072, 0.18545779849806554, 0.1510926420892959, 0.22255388535110346, 0.05934537949702556, 0.08516881655318191, 0.06454240724848337, 0.10887219881392028, 0.2635315468826567, -0.04355155335632658, -0.11877149549952473, -0.04923313644052629, 0.22952377313680677] |
712.2053 | Equations of the moduli of Higgs pairs and infinite Grassmannian | In this paper the moduli space of Higgs pairs over a fixed smooth projective
curve with extra formal data is defined and it is endowed with a scheme
structure. We introduce a relative version of the Krichever map using a
fibration of Sato Grassmannians and show that this map is injective. This fact
and the characterization of the points of the image of the Krichever map allow
us to prove that this moduli space is a closed subscheme of the product of the
moduli of vector bundles (with formal extra data) and a formal anologue of the
Hitchin base. This characterization also provide us the method to compute
explicitely KP-type equations which describe the moduli space of Higgs pairs.
Finally, for the case where the spectral cover is totally ramified at a fixed
point of the curve, these equations are given in terms of the characteristic
coefficients of the Higgs field.
| math.AG | in this paper the moduli space of higgs pairs over a fixed smooth projective curve with extra formal data is defined and it is endowed with a scheme structure we introduce a relative version of the krichever map using a fibration of sato grassmannians and show that this map is injective this fact and the characterization of the points of the image of the krichever map allow us to prove that this moduli space is a closed subscheme of the product of the moduli of vector bundles with formal extra data and a formal anologue of the hitchin base this characterization also provide us the method to compute explicitely kptype equations which describe the moduli space of higgs pairs finally for the case where the spectral cover is totally ramified at a fixed point of the curve these equations are given in terms of the characteristic coefficients of the higgs field | [['in', 'this', 'paper', 'the', 'moduli', 'space', 'of', 'higgs', 'pairs', 'over', 'a', 'fixed', 'smooth', 'projective', 'curve', 'with', 'extra', 'formal', 'data', 'is', 'defined', 'and', 'it', 'is', 'endowed', 'with', 'a', 'scheme', 'structure', 'we', 'introduce', 'a', 'relative', 'version', 'of', 'the', 'krichever', 'map', 'using', 'a', 'fibration', 'of', 'sato', 'grassmannians', 'and', 'show', 'that', 'this', 'map', 'is', 'injective', 'this', 'fact', 'and', 'the', 'characterization', 'of', 'the', 'points', 'of', 'the', 'image', 'of', 'the', 'krichever', 'map', 'allow', 'us', 'to', 'prove', 'that', 'this', 'moduli', 'space', 'is', 'a', 'closed', 'subscheme', 'of', 'the', 'product', 'of', 'the', 'moduli', 'of', 'vector', 'bundles', 'with', 'formal', 'extra', 'data', 'and', 'a', 'formal', 'anologue', 'of', 'the', 'hitchin', 'base', 'this', 'characterization', 'also', 'provide', 'us', 'the', 'method', 'to', 'compute', 'explicitely', 'kptype', 'equations', 'which', 'describe', 'the', 'moduli', 'space', 'of', 'higgs', 'pairs', 'finally', 'for', 'the', 'case', 'where', 'the', 'spectral', 'cover', 'is', 'totally', 'ramified', 'at', 'a', 'fixed', 'point', 'of', 'the', 'curve', 'these', 'equations', 'are', 'given', 'in', 'terms', 'of', 'the', 'characteristic', 'coefficients', 'of', 'the', 'higgs', 'field']] | [-0.17858541558727922, 0.04466638528865343, -0.13622099775883476, 0.04568246227607831, -0.09518472689060156, -0.11076871627291678, 0.022730730262259958, 0.3080088418202112, -0.33023088628226177, -0.2052135762489782, 0.08708413030433425, -0.21565337990052785, -0.16007503200534906, 0.1934100041140946, -0.12417016796073907, -0.00366624088601628, 0.05294107658407282, 0.0654224161554406, -0.09772867327806034, -0.3117530448143464, 0.4480447139115942, -0.02089676448150269, 0.23737111659533025, 0.03872524296252319, 0.17330846647519443, 0.023334446213139383, -0.04029734910234509, -0.026943239847302826, -0.1418057865899364, 0.1993694033445603, 0.27803578985786226, 0.10421311389498612, 0.15898886665345588, -0.33160202248934534, -0.18055966178317798, 0.21351118362664975, 0.11742025525965447, 0.036053039959394344, 0.03623894152494035, -0.24935471403237508, 0.10487647445234877, -0.14335294384134295, -0.1563959085341893, -0.08614362099976748, 0.02617431360206273, 0.020356392328496148, -0.24886524817951636, -0.04531510521977321, 0.05938017696491638, 0.128581999033852, -0.08378840269420872, -0.037109518478368256, -0.0808709263106208, 0.05890504767393206, 0.030033202140260763, 0.08408026575679647, 0.0783683269365922, -0.1122395458753102, -0.07428149199550783, 0.3818730773191724, -0.09858490975187692, -0.24337297945045835, 0.10464742204999464, -0.14782317295583003, -0.1141980753480238, 0.16655088740482227, 0.12733040786592054, 0.15690944364744444, -0.05419562613293091, 0.19600395066507362, -0.11527867240193707, 0.09745765508300212, 0.05990219534524785, -0.00890669824192988, 0.17050642403305177, 0.13186300932210965, 0.08627467680309943, 0.13851899786183497, -0.06207255057478011, -0.07022495881573065, -0.4169296344254641, -0.24612519164700936, -0.08974140133996238, 0.09625522141351096, -0.11851203081552752, -0.1889080880444197, 0.4294189885470361, 0.07619698362537479, 0.27731407835029515, 0.0845537085520516, 0.26456956696015277, 0.08697332543689733, 0.034028719198083715, 0.036660187846462196, 0.18046774395941537, 0.17043418979159738, 0.039604628939125315, -0.14268716900834452, -0.04104700616417115, 0.15792114510913474] |
712.2054 | Distributed Fair Scheduling Using Variable Transmission Lengths in
Carrier-Sensing-based Wireless Networks | The fairness of IEEE 802.11 wireless networks (including Wireless LAN and
Ad-hoc networks) is hard to predict and control because of the randomness and
complexity of the MAC contentions and dynamics. Moreover, asymmetric channel
conditions such as those caused by capture and channel errors often lead to
severe unfairness among stations. In this paper we propose a novel distributed
scheduling algorithm that we call VLS, for ``{\em variable-length
scheduling}'', that provides weighted fairness to all stations despite the
imperfections of the MAC layer and physical channels. Distinct features of VLS
include the use of variable transmission lengths based on distributed
observations, compatibility with 802.11's contention window algorithm,
opportunistic scheduling to achieve high throughput in time-varying wireless
environments, and flexibility and ease of implementation. Also, VLS makes the
throughput of each station more smooth, which is appealing to real-time
applications such as video and voice. Although the paper mostly assumes 802.11
protocol, the idea generally applies to wireless networks based on CSMA
(Carrier Sensing Multiple Access).
| cs.NI | the fairness of ieee 80211 wireless networks including wireless lan and adhoc networks is hard to predict and control because of the randomness and complexity of the mac contentions and dynamics moreover asymmetric channel conditions such as those caused by capture and channel errors often lead to severe unfairness among stations in this paper we propose a novel distributed scheduling algorithm that we call vls for em variablelength scheduling that provides weighted fairness to all stations despite the imperfections of the mac layer and physical channels distinct features of vls include the use of variable transmission lengths based on distributed observations compatibility with 80211s contention window algorithm opportunistic scheduling to achieve high throughput in timevarying wireless environments and flexibility and ease of implementation also vls makes the throughput of each station more smooth which is appealing to realtime applications such as video and voice although the paper mostly assumes 80211 protocol the idea generally applies to wireless networks based on csma carrier sensing multiple access | [['the', 'fairness', 'of', 'ieee', '80211', 'wireless', 'networks', 'including', 'wireless', 'lan', 'and', 'adhoc', 'networks', 'is', 'hard', 'to', 'predict', 'and', 'control', 'because', 'of', 'the', 'randomness', 'and', 'complexity', 'of', 'the', 'mac', 'contentions', 'and', 'dynamics', 'moreover', 'asymmetric', 'channel', 'conditions', 'such', 'as', 'those', 'caused', 'by', 'capture', 'and', 'channel', 'errors', 'often', 'lead', 'to', 'severe', 'unfairness', 'among', 'stations', 'in', 'this', 'paper', 'we', 'propose', 'a', 'novel', 'distributed', 'scheduling', 'algorithm', 'that', 'we', 'call', 'vls', 'for', 'em', 'variablelength', 'scheduling', 'that', 'provides', 'weighted', 'fairness', 'to', 'all', 'stations', 'despite', 'the', 'imperfections', 'of', 'the', 'mac', 'layer', 'and', 'physical', 'channels', 'distinct', 'features', 'of', 'vls', 'include', 'the', 'use', 'of', 'variable', 'transmission', 'lengths', 'based', 'on', 'distributed', 'observations', 'compatibility', 'with', '80211s', 'contention', 'window', 'algorithm', 'opportunistic', 'scheduling', 'to', 'achieve', 'high', 'throughput', 'in', 'timevarying', 'wireless', 'environments', 'and', 'flexibility', 'and', 'ease', 'of', 'implementation', 'also', 'vls', 'makes', 'the', 'throughput', 'of', 'each', 'station', 'more', 'smooth', 'which', 'is', 'appealing', 'to', 'realtime', 'applications', 'such', 'as', 'video', 'and', 'voice', 'although', 'the', 'paper', 'mostly', 'assumes', '80211', 'protocol', 'the', 'idea', 'generally', 'applies', 'to', 'wireless', 'networks', 'based', 'on', 'csma', 'carrier', 'sensing', 'multiple', 'access']] | [-0.25519734217686524, 0.021951249778044947, -0.03390162555839528, -0.0052847651249700875, -0.10232864288810753, -0.2652021642633234, 0.1286395213975938, 0.44957836755748953, -0.2889831554934834, -0.28402785837198746, 0.07930646391592525, -0.19288328246241718, -0.19830560636509098, 0.14092130880577095, -0.2003537339243022, 0.1121665737845681, 0.04122635367552214, -0.001647978535655773, 0.03224027704687394, -0.25515297257948216, 0.2843534900962065, 0.1256298959904322, 0.39922671679858907, 0.06678864528622591, 0.07213782227287689, 0.04354118586404983, -0.05152953304491486, -0.049571126823623975, -0.06694311725697127, 0.10146587569210114, 0.3238714385890599, 0.1623822190262603, 0.28903771979790743, -0.4679716812799487, -0.29533185342496093, 0.06945364885455506, 0.154484683814261, 0.01507065763739361, -0.02835128498025535, -0.2687673955252676, 0.162694123257516, -0.241119904895172, -0.012288389916559964, -0.004369789203911117, -0.07969430839981545, 0.0934783331682962, -0.35262382119103813, 0.005974477396000911, -0.008141948703224912, 0.016282231504605574, -0.047001821353015574, -0.0512639070331881, 0.05535412028883443, 0.14544340903644987, 0.031250653637460234, -0.0483060763845446, 0.1454799800123455, -0.10085536603477191, -0.1548268152711292, 0.41381353654644704, 0.03109872653096152, -0.16063942786052146, 0.19327065619343722, 0.0218971757133576, -0.11491809637483322, 0.13185865776613354, 0.2493106613584766, 0.04700778010442402, -0.19204822078516537, 0.0022790025125935, 0.007036995882111968, 0.16130532747078122, 0.11394416171436508, 0.18068666075864298, 0.10756956912633596, 0.21925933505549575, 0.15960746798099892, 0.09057091132765918, -0.13378943863578818, -0.13709184562039534, -0.18278840342854066, -0.11027003263342053, -0.18375151856647184, -0.00102596562567421, -0.10044067823954252, -0.1373376012017781, 0.3694700183516199, 0.1908451365419861, 0.13112569337915347, 0.12032074526121671, 0.41245126303172475, 0.009846890293005289, 0.08169131439856507, 0.15809128657830032, 0.14713630166723196, 0.07881172525865787, 0.19731175028860118, -0.1843615338220402, 0.1108857464637946, -0.04426891105955071] |
712.2055 | One-Loop Renormalization of QCD with Lorentz Violation | The explicit one-loop renormalizability of the gluon sector of QCD with
Lorentz violation is demonstrated. The result is consistent with multiplicative
renormalization as the required counter terms are consistent with a single
re-scaling of the Lorentz-violation parameters. In addition, the resulting beta
functions indicate that the CPT-even Lorentz-violating terms increase with
energy scale in opposition to the asymptotically free gauge coupling and
CPT-odd terms. The calculations are performed at lowest-order in the
Lorentz-violating terms as they are assumed small.
| hep-ph | the explicit oneloop renormalizability of the gluon sector of qcd with lorentz violation is demonstrated the result is consistent with multiplicative renormalization as the required counter terms are consistent with a single rescaling of the lorentzviolation parameters in addition the resulting beta functions indicate that the cpteven lorentzviolating terms increase with energy scale in opposition to the asymptotically free gauge coupling and cptodd terms the calculations are performed at lowestorder in the lorentzviolating terms as they are assumed small | [['the', 'explicit', 'oneloop', 'renormalizability', 'of', 'the', 'gluon', 'sector', 'of', 'qcd', 'with', 'lorentz', 'violation', 'is', 'demonstrated', 'the', 'result', 'is', 'consistent', 'with', 'multiplicative', 'renormalization', 'as', 'the', 'required', 'counter', 'terms', 'are', 'consistent', 'with', 'a', 'single', 'rescaling', 'of', 'the', 'lorentzviolation', 'parameters', 'in', 'addition', 'the', 'resulting', 'beta', 'functions', 'indicate', 'that', 'the', 'cpteven', 'lorentzviolating', 'terms', 'increase', 'with', 'energy', 'scale', 'in', 'opposition', 'to', 'the', 'asymptotically', 'free', 'gauge', 'coupling', 'and', 'cptodd', 'terms', 'the', 'calculations', 'are', 'performed', 'at', 'lowestorder', 'in', 'the', 'lorentzviolating', 'terms', 'as', 'they', 'are', 'assumed', 'small']] | [-0.14397639295534242, 0.23687693094716797, -0.017910432005654786, 0.08990565978898372, -0.060118695685663553, -0.09335011561825589, -0.016894301983138807, 0.29374182662820514, -0.16066793205004326, -0.29249440275038346, 0.03440679452393817, -0.2985359162528398, -0.0985633484146829, 0.12630448770072736, 0.002971461019184016, 0.0741639609531134, -0.009423448916383182, 0.08099081102298879, -0.0906197928920789, -0.2501938024983753, 0.32076575433469934, 0.09693551227403215, 0.22722621687652567, 0.10546815308117413, 0.10666359280813721, -0.031397546473536875, -0.07638016597167412, 0.008409149756159964, -0.07392883134898627, 0.053281450255101996, 0.17809367592481873, -0.03684236564308028, 0.1616987865182418, -0.38291133454517473, -0.1823703731657772, 0.07944797609543687, 0.14025651153966878, 0.07960786498328552, -0.006819404615973464, -0.2654375504301507, 0.04481506594044121, -0.23106467768054786, -0.14291990127066692, -0.12080802806193315, -0.07158995385552887, -0.03729498954607716, -0.33161850904314955, 0.12725209573260213, -0.05888123397680023, 0.010130666121836792, -0.012380302995679122, -0.1251141081587706, -0.04049961769929792, 0.053991036790222685, 0.19778702513585927, 0.06546570532778397, 0.12994563346139237, -0.1813656220071112, -0.12909750183572685, 0.4544325192588605, -0.12823587816350068, -0.2398283934291405, 0.12794705093071995, -0.18582338787898234, -0.11005120071924374, 0.11830011974501459, 0.0793131530355615, 0.07568782091706613, -0.17359531457429822, 0.20988018405137443, -0.037636578106616116, 0.15898772294904234, 0.1039192254678641, 0.1099874819717311, 0.16215931541651865, 0.08810373537442824, 0.017120193843317182, 0.08803249842522642, -0.008382441452409647, -0.10292115872372178, -0.5025735930362835, -0.06985699673348307, -0.11842210207700352, 0.028102761912572233, -0.17316955422869842, -0.17525638599255228, 0.3603188725353419, 0.11797987634044942, 0.12426951673483075, 0.08261587790248892, 0.2591289029916442, 0.19835474954835505, 0.14665295863583025, 0.06227122708164816, 0.3310387170626016, 0.14657075021156593, 0.05069463529117123, -0.2911881151007889, 0.009207888972014189, 0.11509057862354041] |
712.2056 | Nanoscale grains, high irreversibility field, and large critical current
density as a function of high energy ball milling time in C-doped magnesium
diboride | Magnesium diboride (MgB2) powder was mechanically alloyed by high energy ball
milling with C to a composition of Mg(B0.95C0.05)2 and then sintered at 1000 C
in a hot isostatic press. Milling times varied from 1 minute to 3000 minutes.
Full C incorporation required only 30-60 min of milling. Grain size of sintered
samples decreased with increased milling time to less than 30 nm for 20-50 hrs
of milling. Milling had a weak detrimental effect on connectivity. Strong
irreversibility field (H*) increase (from 13.3 T to 17.2 T at 4.2 K) due to
increased milling time was observed and correlated linearly with inverse grain
size (1/d). As a result, high field Jc benefited greatly from lengthy powder
milling. Jc(8 T, 4.2 K) peaked at > 80,000 A/cm2 with 1200 min of milling
compared with only ~ 26,000 A/cm2 for 60 min of milling. This non-compositional
performance increase is attributed to grain refinement of the unsintered powder
by milling, and to the probable suppression of grain growth by milling-induced
MgO nano-dispersions.
| cond-mat.supr-con cond-mat.mtrl-sci | magnesium diboride mgb2 powder was mechanically alloyed by high energy ball milling with c to a composition of mgb095c0052 and then sintered at 1000 c in a hot isostatic press milling times varied from 1 minute to 3000 minutes full c incorporation required only 3060 min of milling grain size of sintered samples decreased with increased milling time to less than 30 nm for 2050 hrs of milling milling had a weak detrimental effect on connectivity strong irreversibility field h increase from 133 t to 172 t at 42 k due to increased milling time was observed and correlated linearly with inverse grain size 1d as a result high field jc benefited greatly from lengthy powder milling jc8 t 42 k peaked at 80000 acm2 with 1200 min of milling compared with only 26000 acm2 for 60 min of milling this noncompositional performance increase is attributed to grain refinement of the unsintered powder by milling and to the probable suppression of grain growth by millinginduced mgo nanodispersions | [['magnesium', 'diboride', 'mgb2', 'powder', 'was', 'mechanically', 'alloyed', 'by', 'high', 'energy', 'ball', 'milling', 'with', 'c', 'to', 'a', 'composition', 'of', 'mgb095c0052', 'and', 'then', 'sintered', 'at', '1000', 'c', 'in', 'a', 'hot', 'isostatic', 'press', 'milling', 'times', 'varied', 'from', '1', 'minute', 'to', '3000', 'minutes', 'full', 'c', 'incorporation', 'required', 'only', '3060', 'min', 'of', 'milling', 'grain', 'size', 'of', 'sintered', 'samples', 'decreased', 'with', 'increased', 'milling', 'time', 'to', 'less', 'than', '30', 'nm', 'for', '2050', 'hrs', 'of', 'milling', 'milling', 'had', 'a', 'weak', 'detrimental', 'effect', 'on', 'connectivity', 'strong', 'irreversibility', 'field', 'h', 'increase', 'from', '133', 't', 'to', '172', 't', 'at', '42', 'k', 'due', 'to', 'increased', 'milling', 'time', 'was', 'observed', 'and', 'correlated', 'linearly', 'with', 'inverse', 'grain', 'size', '1d', 'as', 'a', 'result', 'high', 'field', 'jc', 'benefited', 'greatly', 'from', 'lengthy', 'powder', 'milling', 'jc8', 't', '42', 'k', 'peaked', 'at', '80000', 'acm2', 'with', '1200', 'min', 'of', 'milling', 'compared', 'with', 'only', '26000', 'acm2', 'for', '60', 'min', 'of', 'milling', 'this', 'noncompositional', 'performance', 'increase', 'is', 'attributed', 'to', 'grain', 'refinement', 'of', 'the', 'unsintered', 'powder', 'by', 'milling', 'and', 'to', 'the', 'probable', 'suppression', 'of', 'grain', 'growth', 'by', 'millinginduced', 'mgo', 'nanodispersions']] | [-0.01991578180452142, 0.2893711332099535, 0.010686112849478737, -0.0842451490059403, -0.005351975227470429, -0.17555897455823458, 0.12691006384197806, 0.43682122312739124, -0.2400232624049862, -0.43636809981910996, 0.08615001531412687, -0.35157426772064265, 0.08103567823468719, 0.18082339021256538, -0.07311319058795494, 0.05181386019390674, 0.05469114427960673, -0.0422572127017365, -0.06801750681960932, -0.2953687279074119, 0.11303849882635943, 0.1293915522086828, 0.29571307695436255, 0.07064057592112848, 0.051739194286688245, -0.034694940130582747, 0.08182111645209385, 0.058273326249126296, -0.16612463060731966, 0.023920117164559572, 0.2195056141756567, -0.03821865247597021, 0.27129749127629177, -0.406717148149547, -0.21080835812608711, -0.009063298842743223, 0.1229748865560755, -0.0002376544662969716, -0.018577532566089273, -0.17838373934896087, 0.16537435327507097, -0.06113631583543287, -0.12127558363567072, 0.021033347655809196, 0.11434122157300373, -0.039429073438643374, -0.24497357916293871, 0.09078658369145598, 0.06686504138633609, 0.2512235271020068, -0.05371648052069186, -0.20109795240604858, -0.08478965303202356, -0.05877570419595289, 0.03240707124020031, 0.12645376081015042, 0.2593090594113793, -0.057579605427662627, -0.02929967264846013, 0.3596484635807114, -0.06465604335235296, 0.053526513974101825, 0.1851461577390171, -0.21016137894346482, -0.0511761300990151, 0.3165981017317577, 0.1225324747749794, 0.1379823546000055, -0.15069084574560415, 0.0003551563932876574, 0.0682021937114589, 0.25534245964099456, 0.22302954036305533, -0.056190533494507824, 0.11182363076785143, 0.2479182085091317, 0.0029745658652649987, 0.17188220353506758, -0.13504707224718812, 0.05118254812744757, -0.17716616677784328, -0.16090012972967493, -0.15146400184186612, 0.14003852604066286, -0.16897987620015759, -0.11491628758678282, 0.3009775048409255, 0.10534280385638092, 0.22950544640030943, -0.03048086097251256, 0.19364654337182458, 0.0432110979350393, 0.13806763407127517, 0.06652131349848653, 0.14791547172461394, 0.15723054359500285, 0.2110717671227722, -0.24697452953321009, 0.1227989340758664, -0.07553442549262265] |
712.2057 | Theoretical analysis of a single and double reflection atom
interferometer in a weakly-confining magnetic trap | The operation of a BEC based atom interferometer, where the atoms are held in
a weakly-confining magnetic trap and manipulated with counter-propagating laser
beams, is analyzed. A simple analytic model is developed to describe the
dynamics of the interferometer. It is used to find the regions of parameter
space with high and low contrast of the interference fringes for both single
and double reflection interferometers. We demonstrate that for a double
reflection interferometer the coherence time can be increased by shifting the
recombination time. The theory is compared with recent experimental
realizations of these interferometers.
| physics.atom-ph | the operation of a bec based atom interferometer where the atoms are held in a weaklyconfining magnetic trap and manipulated with counterpropagating laser beams is analyzed a simple analytic model is developed to describe the dynamics of the interferometer it is used to find the regions of parameter space with high and low contrast of the interference fringes for both single and double reflection interferometers we demonstrate that for a double reflection interferometer the coherence time can be increased by shifting the recombination time the theory is compared with recent experimental realizations of these interferometers | [['the', 'operation', 'of', 'a', 'bec', 'based', 'atom', 'interferometer', 'where', 'the', 'atoms', 'are', 'held', 'in', 'a', 'weaklyconfining', 'magnetic', 'trap', 'and', 'manipulated', 'with', 'counterpropagating', 'laser', 'beams', 'is', 'analyzed', 'a', 'simple', 'analytic', 'model', 'is', 'developed', 'to', 'describe', 'the', 'dynamics', 'of', 'the', 'interferometer', 'it', 'is', 'used', 'to', 'find', 'the', 'regions', 'of', 'parameter', 'space', 'with', 'high', 'and', 'low', 'contrast', 'of', 'the', 'interference', 'fringes', 'for', 'both', 'single', 'and', 'double', 'reflection', 'interferometers', 'we', 'demonstrate', 'that', 'for', 'a', 'double', 'reflection', 'interferometer', 'the', 'coherence', 'time', 'can', 'be', 'increased', 'by', 'shifting', 'the', 'recombination', 'time', 'the', 'theory', 'is', 'compared', 'with', 'recent', 'experimental', 'realizations', 'of', 'these', 'interferometers']] | [-0.1545794288865588, 0.19631417261119535, -0.09155024000582226, 0.01087529486183949, 0.007289812005957232, -0.16918708202726346, 0.029574004986491848, 0.43045396815509873, -0.23487286941901325, -0.2997200257253853, 0.04306146929392274, -0.2411979943652578, -0.10402477718889713, 0.2203221261040605, -0.013187311153779639, 0.0489248257586138, 0.046073242680149826, -0.005395593953893539, -0.034391051730477906, -0.19464878613089628, 0.27880657481604276, 0.1055089376688479, 0.2950852920717381, 0.0031592315905033907, 0.11791478097934197, 0.0005062054446403016, 0.008298506028950214, 0.0018088661299577537, -0.07448862102961705, 0.09131413509950359, 0.23979008351353573, 0.055765988503364804, 0.20296872555813256, -0.4771088893981056, -0.21324853937914398, 0.047180169503491846, 0.11477450691931386, 0.1655236530771598, -0.0435463518716712, -0.33238905310591166, -0.03446872686927623, -0.15418705857913703, -0.12425478080664068, -0.03955504265514777, 0.006465809870550924, 0.06582623579479913, -0.27778986062696004, -0.0038354041233183223, -0.02110540670927297, 0.008789730813116469, -0.009279120995841444, -0.035014490839688384, 0.016987133211396794, 0.053821273658305725, -0.06567624351133573, 0.045876140810271845, 0.1292254566958055, -0.10451348182594186, -0.1325649726204574, 0.38102746635992474, -0.10026062240308904, -0.13296442155904592, 0.15876392162890432, -0.21948256851372092, -0.02517197735389655, 0.135069049221087, 0.11448398794225872, 0.10607848596570894, -0.05900383000559312, 0.05319480203739813, -0.020206712017905838, 0.18450925633202286, 0.1410879010973657, 0.0788239377223827, 0.22677709804253376, 0.19413499543047014, 0.04266179671035485, 0.1586084771467753, -0.1750539807290671, -0.08009333782730267, -0.2717293405390166, -0.1277686331663875, -0.18744502134096036, -0.024510629366132172, -0.021778756776915, -0.11801186088036666, 0.36663687893466906, 0.11892876117688386, 0.18439217217940282, -0.03637405155979572, 0.3547287024062206, 0.18280788667331588, 0.07279250865921061, -0.026853047202321442, 0.26348079103936856, 0.16187771220760855, 0.0749590270805787, -0.27483282686072463, 0.00639967841933422, -0.019500550244280948] |
712.2058 | A Not-so-Characteristic Equation: the Art of Linear Algebra | Can the cross product be generalized? Why are the trace and determinant so
important in matrix theory? What do all the coefficients of the characteristic
polynomial represent? This paper describes a technique for `doodling' equations
from linear algebra that offers elegant solutions to all these questions. The
doodles, known as trace diagrams, are graphs labeled by matrices which have a
correspondence to multilinear functions. This correspondence permits
computations in linear algebra to be performed using diagrams. The result is an
elegant theory from which standard constructions of linear algebra such as the
determinant, the trace, the adjugate matrix, Cramer's rule, and the
characteristic polynomial arise naturally. Using the diagrams, it is easy to
see how little structure gives rise to these various results, as they all can
be `traced' back to the definition of the determinant and inner product.
| math.HO math.RA | can the cross product be generalized why are the trace and determinant so important in matrix theory what do all the coefficients of the characteristic polynomial represent this paper describes a technique for doodling equations from linear algebra that offers elegant solutions to all these questions the doodles known as trace diagrams are graphs labeled by matrices which have a correspondence to multilinear functions this correspondence permits computations in linear algebra to be performed using diagrams the result is an elegant theory from which standard constructions of linear algebra such as the determinant the trace the adjugate matrix cramers rule and the characteristic polynomial arise naturally using the diagrams it is easy to see how little structure gives rise to these various results as they all can be traced back to the definition of the determinant and inner product | [['can', 'the', 'cross', 'product', 'be', 'generalized', 'why', 'are', 'the', 'trace', 'and', 'determinant', 'so', 'important', 'in', 'matrix', 'theory', 'what', 'do', 'all', 'the', 'coefficients', 'of', 'the', 'characteristic', 'polynomial', 'represent', 'this', 'paper', 'describes', 'a', 'technique', 'for', 'doodling', 'equations', 'from', 'linear', 'algebra', 'that', 'offers', 'elegant', 'solutions', 'to', 'all', 'these', 'questions', 'the', 'doodles', 'known', 'as', 'trace', 'diagrams', 'are', 'graphs', 'labeled', 'by', 'matrices', 'which', 'have', 'a', 'correspondence', 'to', 'multilinear', 'functions', 'this', 'correspondence', 'permits', 'computations', 'in', 'linear', 'algebra', 'to', 'be', 'performed', 'using', 'diagrams', 'the', 'result', 'is', 'an', 'elegant', 'theory', 'from', 'which', 'standard', 'constructions', 'of', 'linear', 'algebra', 'such', 'as', 'the', 'determinant', 'the', 'trace', 'the', 'adjugate', 'matrix', 'cramers', 'rule', 'and', 'the', 'characteristic', 'polynomial', 'arise', 'naturally', 'using', 'the', 'diagrams', 'it', 'is', 'easy', 'to', 'see', 'how', 'little', 'structure', 'gives', 'rise', 'to', 'these', 'various', 'results', 'as', 'they', 'all', 'can', 'be', 'traced', 'back', 'to', 'the', 'definition', 'of', 'the', 'determinant', 'and', 'inner', 'product']] | [-0.08206539777397731, 0.07628185850236163, -0.11565764641821169, 0.12084736347036518, -0.12497378372506279, -0.11681841723823352, -0.008432623004857991, 0.3387097072183573, -0.36244319319940993, -0.2817396218247334, 0.1275918824358614, -0.23215543184145962, -0.22258119583399832, 0.1881685456053516, -0.05709244726576667, 0.011758999197163444, 0.03640436402360058, 0.06401418836152964, -0.1321825916546505, -0.24182891271893692, 0.3265327432418944, 0.03692255677584478, 0.20546600308971127, 0.05185723326175703, 0.0806762112264076, -0.007241013780425208, -0.0537486228943411, 0.014476574478212042, -0.09286835623182317, 0.1084684632453676, 0.3204665537484908, 0.1596934494893134, 0.17531286561490456, -0.417631377182577, -0.11801937932445519, 0.13020840066272524, 0.16123557180179743, 0.1013350482351835, 0.02853760706004349, -0.2276410003044251, 0.07007546480694461, -0.19232887098147278, -0.14424025833579726, -0.11480623350539447, -0.008759492513912635, -0.01261268486606254, -0.25766272004229773, 0.03842151275350024, 0.08111891588466107, 0.037213949797054134, -0.00659897507748742, -0.13678940616723528, 0.016492963838559725, 0.13788153998472769, 0.004565630050701261, 0.021482848538679704, 0.0829142696980009, -0.08629044529010096, -0.12077885744688303, 0.3545058884900873, -0.041837432583713016, -0.2287746873697725, 0.1666616916815089, -0.11946575762366579, -0.1332692279635618, 0.11838497838639803, 0.09503134017796729, 0.11195237238290787, -0.13521255412258365, 0.14314228134859097, -0.12298629434941255, 0.09392279147615899, 0.09499328054379726, 0.023355425733641005, 0.17778132141203337, 0.014732234446547818, 0.0282170746974863, 0.1422441651044157, 0.051165489348299474, -0.12442785431968345, -0.3131278100544992, -0.18899704539217055, -0.13536592943178813, 0.09873221957367724, -0.11986696225073462, -0.2111019572796489, 0.3667731615377293, 0.12163484815940045, 0.2253616694801747, 0.06704073897191742, 0.24727048652003641, 0.16129335085945745, 0.153161949574259, 0.03147253216635706, 0.16854205461677865, 0.2294282295582546, 0.07647725084688568, -0.15011796994308563, 0.06044303177538719, 0.16467294459352674] |
712.2059 | Suppression of Tunneling in a Superconducting Persistent-Current Qubit | We consider a superconducting persistent-current qubit consisting of a
three-junction superconducting loop in an applied magnetic field. We show that
by choosing the field, Josephson couplings, and offset charges suitably, we can
perfectly suppress the tunneling between two oppositely directed states of
circulating current, leading to a vanishing of the splitting between the two
qubit states. The suppression arises for interference between tunneling along
different paths, and is analogous to that predicted previously for magnetic
particles with half-integer spin.
| cond-mat.supr-con cond-mat.mes-hall | we consider a superconducting persistentcurrent qubit consisting of a threejunction superconducting loop in an applied magnetic field we show that by choosing the field josephson couplings and offset charges suitably we can perfectly suppress the tunneling between two oppositely directed states of circulating current leading to a vanishing of the splitting between the two qubit states the suppression arises for interference between tunneling along different paths and is analogous to that predicted previously for magnetic particles with halfinteger spin | [['we', 'consider', 'a', 'superconducting', 'persistentcurrent', 'qubit', 'consisting', 'of', 'a', 'threejunction', 'superconducting', 'loop', 'in', 'an', 'applied', 'magnetic', 'field', 'we', 'show', 'that', 'by', 'choosing', 'the', 'field', 'josephson', 'couplings', 'and', 'offset', 'charges', 'suitably', 'we', 'can', 'perfectly', 'suppress', 'the', 'tunneling', 'between', 'two', 'oppositely', 'directed', 'states', 'of', 'circulating', 'current', 'leading', 'to', 'a', 'vanishing', 'of', 'the', 'splitting', 'between', 'the', 'two', 'qubit', 'states', 'the', 'suppression', 'arises', 'for', 'interference', 'between', 'tunneling', 'along', 'different', 'paths', 'and', 'is', 'analogous', 'to', 'that', 'predicted', 'previously', 'for', 'magnetic', 'particles', 'with', 'halfinteger', 'spin']] | [-0.26459054268094934, 0.30117969750887214, 0.007303490209145637, 0.03733759657244045, -0.015194731446195252, -0.18983075998228374, 0.05481340578179571, 0.38815174766969457, -0.22570051166783028, -0.30187194589289684, -0.07260002496599255, -0.2924480674010289, -0.0757683559992834, 0.18551327225964376, 0.015109638094053239, -0.026182022683994395, -0.005821938691307095, -0.0007097233654901715, -0.0749346820837995, -0.1505135895044814, 0.3552345009153168, -0.03663257363877153, 0.31861945147378534, 0.05483340964169253, 0.0943965891234671, 0.016450172272522615, 0.10984590336020235, 0.06423796598410493, -0.09326514440881165, 0.04349154902068026, 0.21064732064009656, -0.07254297130658657, 0.16226882262367615, -0.4896381538172689, -0.15540465754987318, 0.11152018947361768, 0.16722879688479478, 0.1831019968619641, -0.04036791296675801, -0.2916191132692031, 0.046335795720379, -0.1430621496107005, -0.0881778523561698, -0.040514348699605164, -0.020573995079067122, -0.0004388540187449772, -0.29356527352068995, 0.05790861489699234, 0.04948041889863678, 0.023202030070691923, -0.0225896707594489, -0.061063667676777025, -0.040936856996268034, 0.10303821460096331, 0.02159000695182034, 0.051071819707845585, 0.14287201605760788, -0.11616777086371108, -0.2030283957837692, 0.24023931442253008, -0.09123533726021459, -0.1807298350466203, 0.13141376571140334, -0.15268567170877057, -0.03407240383138385, 0.10227989242117427, 0.06780257816367512, 0.05730689987702342, -0.1426734207728524, 0.021982080142508863, 0.008681976436814176, 0.12719962622121542, 0.1031047069479393, 0.05785793667258341, 0.29211446031032107, 0.11916087538334011, 0.10945094256555732, 0.19799179357441166, -0.14442022454252915, -0.1231452246090468, -0.2991985898535651, -0.16867551333683578, -0.1744227815136502, 0.10072687858880698, -0.02980449865240592, -0.18207035469527863, 0.41946224662286663, 0.14792355329764983, 0.21965414042808587, -0.04916603956371546, 0.28214387688196346, 0.1308286058586798, 0.08444897769184052, 0.04134371558121771, 0.25808078989009314, 0.21509324648724043, 0.060704063865815915, -0.3430664292654565, -0.010980235524711352, 0.009853436741270597] |
712.206 | All-optical switching in planar semiconductor microcavities | Using a microscopic many-particle theory, we propose all-optical switching in
planar semiconductor microcavities where a weak beam switches a stronger
signal. Based on four-wave-mixing instabilities, the general scheme is a
semiconductor adaptation of a recently demonstrated switch in an atomic vapor
[Dawes et al., Science 308, 672 (2005)].
| cond-mat.other | using a microscopic manyparticle theory we propose alloptical switching in planar semiconductor microcavities where a weak beam switches a stronger signal based on fourwavemixing instabilities the general scheme is a semiconductor adaptation of a recently demonstrated switch in an atomic vapor dawes et al science 308 672 2005 | [['using', 'a', 'microscopic', 'manyparticle', 'theory', 'we', 'propose', 'alloptical', 'switching', 'in', 'planar', 'semiconductor', 'microcavities', 'where', 'a', 'weak', 'beam', 'switches', 'a', 'stronger', 'signal', 'based', 'on', 'fourwavemixing', 'instabilities', 'the', 'general', 'scheme', 'is', 'a', 'semiconductor', 'adaptation', 'of', 'a', 'recently', 'demonstrated', 'switch', 'in', 'an', 'atomic', 'vapor', 'dawes', 'et', 'al', 'science', '308', '672', '2005']] | [-0.15479176133521833, 0.15470486950440923, -0.07033860504937668, -0.029002060558317073, -0.06618334152153693, -0.1915103750555621, 0.0935902184646693, 0.40955381161378074, -0.19961135009846961, -0.27605268304857117, -0.0042903460513722775, -0.2053640955418814, -0.20152442768448964, 0.20569528982741758, -0.057482192622652896, 0.07338992097841886, -0.004563748312648386, -0.1564356944678972, 0.009315438335761428, -0.146557705088829, 0.17624347000188814, 0.0658191734595069, 0.40869628769966465, 0.023733622685540468, 0.16554453689604998, 0.009574746334692463, 0.07569134895068903, -0.05646535692843221, -0.1704811412928393, 0.10318982915972204, 0.23860746736075575, -0.004761025028225656, 0.32433582785112475, -0.47331603622296825, -0.25206282424430054, 0.014477085031103343, 0.10287653616008659, 0.21010596311437743, -0.15969591475489628, -0.30814234453525086, -0.01605442657213037, -0.18498169359433328, -0.054572913756904505, 0.0002788883090640108, 0.03854739052864412, 0.019671804266787756, -0.31110195788399625, 0.005482046011214455, 0.08063077026357253, 0.09910769910008337, 0.008384016056273444, -0.03822497810809485, -0.0036986601286722967, -0.0665124743245542, -0.19081486020877492, 0.07709629398596007, 0.17715432286301316, -0.06841786022414453, -0.22029418723347285, 0.34391142598663765, -0.08508169447304681, -0.08324823848670349, 0.1867862781752289, -0.07092800763590883, -0.07888645026832819, 0.12290974090380284, 0.17034999696867695, 0.14011414669403166, -0.1656449099003415, 0.09901423488433163, -0.05830457286113718, 0.2388830246248593, 0.14076919074674757, 0.05463034428369914, 0.1529562515206635, 0.25554064395449433, 0.03616111630496258, 0.14040952507639304, -0.11887559532381904, -0.0894451754441737, -0.18316808154728884, -0.12350917708439131, -0.21922614704817533, 0.09449724655132741, -0.011621599725913256, -0.14139804769850647, 0.36460976566278686, 0.0835616521362681, 0.13325261828564786, -0.09240108228793058, 0.3011266467704748, 0.12899800098966807, 0.007479825173504651, 0.030815881861296173, 0.3335695130129655, 0.1833125927563136, 0.1425732857605908, -0.23452150379307568, 0.007349004066782072, 0.012017034421054026] |
712.2061 | A two-armed pattern in flickering maps of the nova-like variable UU
Aquarii | We report the analysis of a uniform sample of 31 light curves of the
nova-like variable UU Aqr with eclipse mapping techniques. The data were
combined to derive eclipse maps of the average steady-light component, the
long-term brightness changes, and low- and high-frequency flickering
components. The long-term variability responsible for the 'low' and 'high'
brightness states is explained in terms of the response of a viscous disk to
changes of 20-50 per cent in the mass transfer rate from the donor star. Low-
and high-frequency flickering maps are dominated by emission from two
asymmetric arcs reminiscent of those seen in the outbursting dwarf nova IP Peg,
and are similarly interpreted as manifestation of a tidally-induced spiral
shock wave in the outer regions of a large accretion disk. The asymmetric arcs
are also seen in the map of the steady-light aside of the broad brightness
distribution of a roughly steady-state disk. The arcs account for 25 per cent
of the steady-light flux and are a long-lasting feature in the accretion disk
of UU Aqr. We infer an opening angle of 10+/-3 degrees for the spiral arcs. The
results suggest that the flickering in UU Aqr is caused by turbulence generated
after the collision of disk gas with the density-enhanced spiral wave in the
accretion disk.
| astro-ph | we report the analysis of a uniform sample of 31 light curves of the novalike variable uu aqr with eclipse mapping techniques the data were combined to derive eclipse maps of the average steadylight component the longterm brightness changes and low and highfrequency flickering components the longterm variability responsible for the low and high brightness states is explained in terms of the response of a viscous disk to changes of 2050 per cent in the mass transfer rate from the donor star low and highfrequency flickering maps are dominated by emission from two asymmetric arcs reminiscent of those seen in the outbursting dwarf nova ip peg and are similarly interpreted as manifestation of a tidallyinduced spiral shock wave in the outer regions of a large accretion disk the asymmetric arcs are also seen in the map of the steadylight aside of the broad brightness distribution of a roughly steadystate disk the arcs account for 25 per cent of the steadylight flux and are a longlasting feature in the accretion disk of uu aqr we infer an opening angle of 103 degrees for the spiral arcs the results suggest that the flickering in uu aqr is caused by turbulence generated after the collision of disk gas with the densityenhanced spiral wave in the accretion disk | [['we', 'report', 'the', 'analysis', 'of', 'a', 'uniform', 'sample', 'of', '31', 'light', 'curves', 'of', 'the', 'novalike', 'variable', 'uu', 'aqr', 'with', 'eclipse', 'mapping', 'techniques', 'the', 'data', 'were', 'combined', 'to', 'derive', 'eclipse', 'maps', 'of', 'the', 'average', 'steadylight', 'component', 'the', 'longterm', 'brightness', 'changes', 'and', 'low', 'and', 'highfrequency', 'flickering', 'components', 'the', 'longterm', 'variability', 'responsible', 'for', 'the', 'low', 'and', 'high', 'brightness', 'states', 'is', 'explained', 'in', 'terms', 'of', 'the', 'response', 'of', 'a', 'viscous', 'disk', 'to', 'changes', 'of', '2050', 'per', 'cent', 'in', 'the', 'mass', 'transfer', 'rate', 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'in', 'uu', 'aqr', 'is', 'caused', 'by', 'turbulence', 'generated', 'after', 'the', 'collision', 'of', 'disk', 'gas', 'with', 'the', 'densityenhanced', 'spiral', 'wave', 'in', 'the', 'accretion', 'disk']] | [-0.14091823807352866, 0.11127514989616047, -0.06503206610279245, 0.09373669869540625, -0.0402581555166099, -0.07425916679725747, 0.0314480202505365, 0.37979160270122725, -0.25134890494002116, -0.31807325679099485, 0.09245443839806124, -0.3020125609326446, -0.060559787330539704, 0.20104011768261928, -0.06807365498361917, 0.004082328204727061, 0.062163925586484814, -0.07633589984083147, -0.060270455368864134, -0.1795659113325022, 0.26325261375769454, 0.03703660439595441, 0.1275290993943149, -0.02107349729652856, 0.057388924173771394, -0.04857695207247841, -0.06316901598273664, -0.04838778281793277, -0.10680520371442132, 0.043038696349094185, 0.2007559348761635, 0.08124979644813618, 0.17459596519436793, -0.39598125531473477, -0.23062686393664122, 0.019936854521326163, 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712.2062 | Collective motion of self-propelled particles interacting without
cohesion | We present a comprehensive study of Vicsek-style self-propelled particle
models in two and three space dimensions. The onset of collective motion in
such stochastic models with only local alignment interactions is studied in
detail and shown to be discontinuous (first-order like). The properties of the
ordered, collectively moving phase are investigated. In a large domain of
parameter space including the transition region, well-defined high-density and
high-order propagating solitary structures are shown to dominate the dynamics.
Far enough from the transition region, on the other hand, these objects are not
present. A statistically-homogeneous ordered phase is then observed, which is
characterized by anomalously-strong density fluctuations, superdiffusion, and
strong intermittency.
| cond-mat.stat-mech cond-mat.soft | we present a comprehensive study of vicsekstyle selfpropelled particle models in two and three space dimensions the onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and shown to be discontinuous firstorder like the properties of the ordered collectively moving phase are investigated in a large domain of parameter space including the transition region welldefined highdensity and highorder propagating solitary structures are shown to dominate the dynamics far enough from the transition region on the other hand these objects are not present a statisticallyhomogeneous ordered phase is then observed which is characterized by anomalouslystrong density fluctuations superdiffusion and strong intermittency | [['we', 'present', 'a', 'comprehensive', 'study', 'of', 'vicsekstyle', 'selfpropelled', 'particle', 'models', 'in', 'two', 'and', 'three', 'space', 'dimensions', 'the', 'onset', 'of', 'collective', 'motion', 'in', 'such', 'stochastic', 'models', 'with', 'only', 'local', 'alignment', 'interactions', 'is', 'studied', 'in', 'detail', 'and', 'shown', 'to', 'be', 'discontinuous', 'firstorder', 'like', 'the', 'properties', 'of', 'the', 'ordered', 'collectively', 'moving', 'phase', 'are', 'investigated', 'in', 'a', 'large', 'domain', 'of', 'parameter', 'space', 'including', 'the', 'transition', 'region', 'welldefined', 'highdensity', 'and', 'highorder', 'propagating', 'solitary', 'structures', 'are', 'shown', 'to', 'dominate', 'the', 'dynamics', 'far', 'enough', 'from', 'the', 'transition', 'region', 'on', 'the', 'other', 'hand', 'these', 'objects', 'are', 'not', 'present', 'a', 'statisticallyhomogeneous', 'ordered', 'phase', 'is', 'then', 'observed', 'which', 'is', 'characterized', 'by', 'anomalouslystrong', 'density', 'fluctuations', 'superdiffusion', 'and', 'strong', 'intermittency']] | [-0.15212042970398335, 0.23132649961120957, -0.07440758939614994, 0.0765420589936493, -0.04884289223525041, -0.08254649424661864, -0.0215916254940412, 0.39371946917952233, -0.27348557455500344, -0.26591017069119327, 0.09860374269576497, -0.274911281569281, -0.1697457644051679, 0.1222078695877912, 0.03296869342986336, 0.021342584604116262, -0.0055919161927447, 0.028510819514334765, -0.03927633198272472, -0.15133598631243486, 0.30994581912956115, -0.012379496070591486, 0.2842358954004803, -0.005233361669113192, 0.0957494794724966, -0.06844004213300375, 0.00481923474526068, 0.10715464590708199, -0.14153613880241536, 0.048650772976337596, 0.21363741620137622, 0.022606723515738576, 0.21747726355767194, -0.4231679770076331, -0.2750458408373338, 0.0898748331973417, 0.18220465747559364, 0.11354125574349759, -0.06650926202303897, -0.3288570611544375, 0.048405728039314165, -0.13315172687190463, -0.11036661551619512, -0.1084212045479601, 0.02257993132895175, 0.08511114587682246, -0.24273160221670173, 0.10614860749293892, 0.08384786485002446, 0.05642089564880391, -0.05524710130895365, -0.05611790800115691, -0.04739028094599972, 0.11003087406960439, 0.027726504079698813, 0.007253811428903269, 0.11331882419609376, -0.16363677474063873, -0.0818303851408001, 0.4044396089091194, -0.04186359924299397, -0.18215053757204552, 0.26429027477103584, -0.21526235504128602, -0.1182782741983966, 0.1883451259071183, 0.18572298481287258, 0.15935439358790457, -0.12515863509110683, 0.05822274495434578, 0.01365960962556408, 0.15749931904786038, 0.016417291459082713, 0.05338237023437923, 0.21680731958938096, 0.19532041748950504, 0.04193282242477784, 0.15070942639458906, -0.11811054654129483, -0.18730231540998057, -0.28893976281660627, -0.1091786810166185, -0.15874206978511415, -0.03538840862618702, -0.055682106940229514, -0.18809427560542114, 0.3718234481913793, 0.13039165355247567, 0.21860336230733907, -0.017262284048143246, 0.24471665539708481, 0.10505965668356644, 0.01820759120713568, 0.06625724282941588, 0.2762082450372993, 0.09695354149509924, 0.0877462009161289, -0.19959706721063, 0.06872754057271863, 0.05838967493585891] |
712.2063 | An axiomatic approach to intrinsic dimension of a dataset | We perform a deeper analysis of an axiomatic approach to the concept of
intrinsic dimension of a dataset proposed by us in the IJCNN'07 paper
(arXiv:cs/0703125). The main features of our approach are that a high intrinsic
dimension of a dataset reflects the presence of the curse of dimensionality (in
a certain mathematically precise sense), and that dimension of a discrete
i.i.d. sample of a low-dimensional manifold is, with high probability, close to
that of the manifold. At the same time, the intrinsic dimension of a sample is
easily corrupted by moderate high-dimensional noise (of the same amplitude as
the size of the manifold) and suffers from prohibitevely high computational
complexity (computing it is an $NP$-complete problem). We outline a possible
way to overcome these difficulties.
| cs.IR | we perform a deeper analysis of an axiomatic approach to the concept of intrinsic dimension of a dataset proposed by us in the ijcnn07 paper arxivcs0703125 the main features of our approach are that a high intrinsic dimension of a dataset reflects the presence of the curse of dimensionality in a certain mathematically precise sense and that dimension of a discrete iid sample of a lowdimensional manifold is with high probability close to that of the manifold at the same time the intrinsic dimension of a sample is easily corrupted by moderate highdimensional noise of the same amplitude as the size of the manifold and suffers from prohibitevely high computational complexity computing it is an npcomplete problem we outline a possible way to overcome these difficulties | [['we', 'perform', 'a', 'deeper', 'analysis', 'of', 'an', 'axiomatic', 'approach', 'to', 'the', 'concept', 'of', 'intrinsic', 'dimension', 'of', 'a', 'dataset', 'proposed', 'by', 'us', 'in', 'the', 'ijcnn07', 'paper', 'arxivcs0703125', 'the', 'main', 'features', 'of', 'our', 'approach', 'are', 'that', 'a', 'high', 'intrinsic', 'dimension', 'of', 'a', 'dataset', 'reflects', 'the', 'presence', 'of', 'the', 'curse', 'of', 'dimensionality', 'in', 'a', 'certain', 'mathematically', 'precise', 'sense', 'and', 'that', 'dimension', 'of', 'a', 'discrete', 'iid', 'sample', 'of', 'a', 'lowdimensional', 'manifold', 'is', 'with', 'high', 'probability', 'close', 'to', 'that', 'of', 'the', 'manifold', 'at', 'the', 'same', 'time', 'the', 'intrinsic', 'dimension', 'of', 'a', 'sample', 'is', 'easily', 'corrupted', 'by', 'moderate', 'highdimensional', 'noise', 'of', 'the', 'same', 'amplitude', 'as', 'the', 'size', 'of', 'the', 'manifold', 'and', 'suffers', 'from', 'prohibitevely', 'high', 'computational', 'complexity', 'computing', 'it', 'is', 'an', 'npcomplete', 'problem', 'we', 'outline', 'a', 'possible', 'way', 'to', 'overcome', 'these', 'difficulties']] | [-0.09801149899821456, 0.056022975592149, -0.09435325201101057, 0.06561449322966874, -0.08449701758904185, -0.10750700773035245, 0.07745643921775698, 0.3280260238221021, -0.28957199977286824, -0.3200761909119603, 0.10573910727029348, -0.2508304246012273, -0.16330296531550556, 0.17448275687260084, -0.15218820043544218, 0.058331983807549725, 0.06621400802206945, 0.034792514301162605, -0.07215816981766782, -0.26066887442295145, 0.3638964939343826, 0.06865973047518391, 0.30236523018438155, -0.0002649238643546899, 0.15717808147740922, -0.035230425973914986, -0.008678306007712352, 0.06486990121836828, -0.06409931022808008, 0.1802662078289285, 0.2535587739995851, 0.13063654994092336, 0.32422487327177835, -0.35967667822523053, -0.1983429571288085, 0.1116408565274735, 0.14043552664343298, 0.14199859713302637, 0.0015483817115910655, -0.2786290802277352, 0.10838161580779446, -0.10589109643597186, -0.170535835399618, -0.08188973126527892, 0.025569407481367025, -0.05737061437779689, -0.2568241147101077, 0.06887876981967772, 0.10626471924360811, 0.05327969792912283, -0.03452815434032279, -0.0897735082695821, 0.006163474492259263, 0.13063435313269134, 0.04021738594723487, 0.045891554939098717, 0.07717189505484288, -0.1294024514575769, -0.10205673891388456, 0.3643630820334079, -0.03703759927908337, -0.20969890499472377, 0.21553028901145468, -0.13575448397531864, -0.13576101388297673, 0.17622408554397098, 0.20322396732938697, 0.09349239663773679, -0.11573414668077375, 0.11390244290592315, -0.05400452391827494, 0.18177724116277405, 0.011362214731733973, 0.05925822174659271, 0.12646539336661014, 0.22695362536100352, 0.08982009060559719, 0.15577811168552172, -0.11559757143656564, -0.03169085235359541, -0.2932803089526005, -0.156632687926777, -0.25321619179311805, 0.07587014965247363, -0.1506574624253539, -0.1628732928869928, 0.37590789043806433, 0.17764517401791807, 0.24959823311253534, 0.08095843899934514, 0.3312133905000803, 0.10467621609161616, 0.03510678353590694, 0.057148212230029874, 0.17291992050936308, 0.11356427144577227, 0.05322169627032689, -0.2059946574168507, 0.05076320756111309, 0.02369873493538821] |
712.2064 | Charge density wave formation in $R_{2}$Te$_{5}$ ($R$=Nd, Sm and Gd) | The rare earth ($R$) tellurides $R_2$Te$_5$ have a crystal structure
intermediate between that of $R$Te$_2$ and $R$Te$_3$, consisting of alternating
single and double Te planes sandwiched between $R$Te block layers. We have
successfully grown single crystals of Nd$_2$Te$_5$, Sm$_2$Te$_5$ and
Gd$_2$Te$_5$ from a self flux, and describe here the first evidence for charge
density wave formation in these materials. The superlattice patterns for all
three compounds are relatively complex, consisting at room temperature of at
least two independent wavevectors. Consideration of the electronic structure
indicates that to a large extent these wave vectors are separately associated
with sheets of the Fermi surface which are principally derived from the single
and double Te layers.
| cond-mat.str-el cond-mat.mtrl-sci | the rare earth r tellurides r_2te_5 have a crystal structure intermediate between that of rte_2 and rte_3 consisting of alternating single and double te planes sandwiched between rte block layers we have successfully grown single crystals of nd_2te_5 sm_2te_5 and gd_2te_5 from a self flux and describe here the first evidence for charge density wave formation in these materials the superlattice patterns for all three compounds are relatively complex consisting at room temperature of at least two independent wavevectors consideration of the electronic structure indicates that to a large extent these wave vectors are separately associated with sheets of the fermi surface which are principally derived from the single and double te layers | [['the', 'rare', 'earth', 'r', 'tellurides', 'r_2te_5', 'have', 'a', 'crystal', 'structure', 'intermediate', 'between', 'that', 'of', 'rte_2', 'and', 'rte_3', 'consisting', 'of', 'alternating', 'single', 'and', 'double', 'te', 'planes', 'sandwiched', 'between', 'rte', 'block', 'layers', 'we', 'have', 'successfully', 'grown', 'single', 'crystals', 'of', 'nd_2te_5', 'sm_2te_5', 'and', 'gd_2te_5', 'from', 'a', 'self', 'flux', 'and', 'describe', 'here', 'the', 'first', 'evidence', 'for', 'charge', 'density', 'wave', 'formation', 'in', 'these', 'materials', 'the', 'superlattice', 'patterns', 'for', 'all', 'three', 'compounds', 'are', 'relatively', 'complex', 'consisting', 'at', 'room', 'temperature', 'of', 'at', 'least', 'two', 'independent', 'wavevectors', 'consideration', 'of', 'the', 'electronic', 'structure', 'indicates', 'that', 'to', 'a', 'large', 'extent', 'these', 'wave', 'vectors', 'are', 'separately', 'associated', 'with', 'sheets', 'of', 'the', 'fermi', 'surface', 'which', 'are', 'principally', 'derived', 'from', 'the', 'single', 'and', 'double', 'te', 'layers']] | [-0.16216822249245727, 0.19271493490129984, -0.0062059475264201565, -0.01583884122212314, 0.004742901334625289, -0.13324524882665612, 0.059959778717408575, 0.41246831482621255, -0.2943251294308101, -0.28361988033133523, 0.03192191628665939, -0.3453597010658187, -0.12168409944839638, 0.18609721530649243, 0.10488060449198303, -0.003897953849648022, -0.013358208301252927, -0.033698889763197966, -0.12424054429801698, -0.18913470228909757, 0.33067372421458086, 0.017241843812236632, 0.31764652624433104, 0.009855374711117259, 0.08656924737065479, -0.01787887915485987, 0.06269385203012023, 0.02706000001894103, -0.09775246031804946, 0.11199462907043872, 0.2528777725270225, -0.0343824906396077, 0.17687673334687673, -0.4795762588770163, -0.20083443010743293, -0.004813593767014229, 0.12677295480561615, 0.09002283722899544, -0.07625045200499396, -0.2012510393504743, 0.104498325381428, -0.1296446871969642, -0.07273357878525362, -0.04061237939081534, -0.0002390883724998545, 0.05507251630640692, -0.21442819347592174, 0.07613647197205056, 0.023309725388470624, 0.08349568750795529, -0.08536823643630163, -0.1648065080818789, -0.11289899976044479, 0.07285106263589114, 0.037220285929463526, 0.007851741513823745, 0.1087511897225071, -0.08359574992856425, -0.0835497869282133, 0.35318390900890034, -0.03992618496111525, -0.12800188201772808, 0.19918656580072516, -0.20141952448628014, -0.11355758490282353, 0.19592549481549887, 0.15590548590720305, 0.10127564836120992, -0.13602669208625298, 0.04437760839452191, -0.05522639105711952, 0.17241341003251295, 0.10914692416554317, 0.058057391507275125, 0.3023085438094481, 0.164656696703147, -0.004791907672942789, 0.11202585198744028, -0.15112047865437084, -0.02008450088194675, -0.23105950218935808, -0.20133569218106223, -0.16152147527383123, 0.019380091069453757, -0.06838335333479874, -0.2246054608926729, 0.413925818702275, 0.05233932818993236, 0.21301570069044828, -0.05991422252932184, 0.2131276632986825, 0.04820933563125975, 0.09554394033383923, 0.0447030488608612, 0.2243338648372123, 0.13346073215641943, 0.05267722596828309, -0.19629306988618164, 0.07142520632111916, 0.0057020062447042654] |
712.2065 | Dissipation in finite systems: Semiconductor NEMS, graphene NEMS, and
metallic nanoparticles | This thesis studies three kinds of mesoscopic systems and how one of their
collective degrees of freedom is affected by a dissipative environment:
a)Nanoelectromechanical systems based on semiconductor materials, and how
surface friction processes limit the quality factor of their vibrational
eigenmodes at low temperatures, causing as well a frequency shift; b)Graphene -
based nanoresonators, and several damping mechanisms limiting the quality
factor of its fundamental bending (flexural) eigenmode, and c)The dissipative
dynamics of the surface plasmon created in a metallic nanocluster by a laser
pulse, discussing the validity and limitations of a very common theoretical
model used for its description.
| cond-mat.mes-hall cond-mat.str-el | this thesis studies three kinds of mesoscopic systems and how one of their collective degrees of freedom is affected by a dissipative environment ananoelectromechanical systems based on semiconductor materials and how surface friction processes limit the quality factor of their vibrational eigenmodes at low temperatures causing as well a frequency shift bgraphene based nanoresonators and several damping mechanisms limiting the quality factor of its fundamental bending flexural eigenmode and cthe dissipative dynamics of the surface plasmon created in a metallic nanocluster by a laser pulse discussing the validity and limitations of a very common theoretical model used for its description | [['this', 'thesis', 'studies', 'three', 'kinds', 'of', 'mesoscopic', 'systems', 'and', 'how', 'one', 'of', 'their', 'collective', 'degrees', 'of', 'freedom', 'is', 'affected', 'by', 'a', 'dissipative', 'environment', 'ananoelectromechanical', 'systems', 'based', 'on', 'semiconductor', 'materials', 'and', 'how', 'surface', 'friction', 'processes', 'limit', 'the', 'quality', 'factor', 'of', 'their', 'vibrational', 'eigenmodes', 'at', 'low', 'temperatures', 'causing', 'as', 'well', 'a', 'frequency', 'shift', 'bgraphene', 'based', 'nanoresonators', 'and', 'several', 'damping', 'mechanisms', 'limiting', 'the', 'quality', 'factor', 'of', 'its', 'fundamental', 'bending', 'flexural', 'eigenmode', 'and', 'cthe', 'dissipative', 'dynamics', 'of', 'the', 'surface', 'plasmon', 'created', 'in', 'a', 'metallic', 'nanocluster', 'by', 'a', 'laser', 'pulse', 'discussing', 'the', 'validity', 'and', 'limitations', 'of', 'a', 'very', 'common', 'theoretical', 'model', 'used', 'for', 'its', 'description']] | [-0.16257744821914644, 0.17829871046527915, -0.08425735584840331, 0.012765270042499261, -0.03433744163651552, -0.12365400075095193, 0.07718856536013512, 0.36677352775230393, -0.24537769259352768, -0.27657116439706664, 0.05549486254387041, -0.2505841555895892, -0.15096128137059966, 0.22990010738401312, 0.006946027834842704, 0.07544753398386612, 0.03315674377800137, -0.04931550549476275, -0.009315517265349627, -0.1574311261445436, 0.2933422375365864, 0.09592624365028982, 0.3339070510451815, 0.07698075004321124, 0.09609305361114746, -0.016171350044065287, 0.06639206302067151, -0.00847224500838059, -0.14009867536322196, 0.11848237435808595, 0.2226932300397252, -0.0121789844754171, 0.2925771508004744, -0.45968371292348115, -0.24535420267101454, -0.0182402657953148, 0.14615711087731606, 0.12856323775664277, -0.01563258282959043, -0.24624862920074742, -0.016508908300869624, -0.15057923082364438, -0.17355336135310329, -0.06106896523614319, 0.02005093625024417, 0.036652639318181544, -0.1716817068458744, 0.1008650556263723, 0.10575636426504816, 0.09982098760653516, -0.05024014995195808, -0.09934642852036929, -0.04425999116418617, 0.11835091954277714, 0.05465805159800933, -0.058230326948117236, 0.2506829458383881, -0.15946397741030596, -0.10108116918186448, 0.45508347603739524, -0.06196185618125814, -0.1857628877825883, 0.23896153013659072, -0.13988142057645078, -0.04086699010329131, 0.15343547089391255, 0.184047149995589, 0.09066528137963341, -0.16047433809239456, 0.02199151307998976, 0.07304946033816252, 0.1754313104367834, 0.106960501626362, 0.13566305279750757, 0.24281213353197945, 0.23266254105053993, -0.022462312816357126, 0.12851914766598588, -0.045230888448602444, -0.029235389831414143, -0.25126434077641796, -0.09242915405359652, -0.19716086971326446, 0.03795951218059172, -0.08066425530156192, -0.16692495480065747, 0.4547747197627489, 0.11119479150867698, 0.13533079273029403, -0.027382586816591874, 0.31242369731165925, 0.11358010522161173, 0.032873800542319614, 0.017395036347324446, 0.2756381890337382, 0.19314954764855913, 0.06197499063540706, -0.31041871486896916, 0.014999991762736926, -0.0027411090096040648] |
712.2066 | Bias Properties of Extragalactic Distance Indicators XII: Bias Effects
of Slope Differences and Intrinsic Dispersion on Tully-Fisher Distances to
Galaxy Clusters with Application to the Virgo Cluster | The Teerikorpi incompleteness bias in the distance modulus of a galaxy
cluster that is determined from incomplete data using the Tully-Fisher (TF)
method is discussed differently than has been done in earlier papers of this
series. A toy cluster is made with zero intrinsic TF dispersion but with slopes
that differ between the calibrators and the cluster data, showing the bias
caused by incorrect slopes. Intrinsic dispersion is added to the model and two
strategies are used to analyze the data; first by binning the data by line
width and then by apparent magnitude (the direct method), and second by binning
by magnitude and then summing over all line widths (the inverse method). To
illustrate these strategies, a composite cluster is made by combining the
observations of Virgo A and B subclusters with those for the Ursa Major I and
II clusters, corrected to the Virgo A distance. The cluster data are calibrated
using Cepheid distances to 25 galaxies that have adequate TF properties.
Different moduli calculated with varying completeness limits are displayed. The
cluster modulus derived from the complete cluster sample gives (m-M) = 31.42
+/- 0.2 (external) for Virgo A, 31.80 +/- 0.16 for Virgo B, 31.26 +/- 0.13 for
UMa I, and 31.58 +/- 0.17 for UMa II. Combining the Virgo A distance (D = 19.2
Mpc that has a range from 17.5 to 21.1 Mpc with its expansion velocity of 1175
+/- 50 km/s as tied to the remote kinematic frame gives a Hubble constant of
61km/s/Mpc with a range from 53 to 70.
| astro-ph | the teerikorpi incompleteness bias in the distance modulus of a galaxy cluster that is determined from incomplete data using the tullyfisher tf method is discussed differently than has been done in earlier papers of this series a toy cluster is made with zero intrinsic tf dispersion but with slopes that differ between the calibrators and the cluster data showing the bias caused by incorrect slopes intrinsic dispersion is added to the model and two strategies are used to analyze the data first by binning the data by line width and then by apparent magnitude the direct method and second by binning by magnitude and then summing over all line widths the inverse method to illustrate these strategies a composite cluster is made by combining the observations of virgo a and b subclusters with those for the ursa major i and ii clusters corrected to the virgo a distance the cluster data are calibrated using cepheid distances to 25 galaxies that have adequate tf properties different moduli calculated with varying completeness limits are displayed the cluster modulus derived from the complete cluster sample gives mm 3142 02 external for virgo a 3180 016 for virgo b 3126 013 for uma i and 3158 017 for uma ii combining the virgo a distance d 192 mpc that has a range from 175 to 211 mpc with its expansion velocity of 1175 50 kms as tied to the remote kinematic frame gives a hubble constant of 61kmsmpc with a range from 53 to 70 | [['the', 'teerikorpi', 'incompleteness', 'bias', 'in', 'the', 'distance', 'modulus', 'of', 'a', 'galaxy', 'cluster', 'that', 'is', 'determined', 'from', 'incomplete', 'data', 'using', 'the', 'tullyfisher', 'tf', 'method', 'is', 'discussed', 'differently', 'than', 'has', 'been', 'done', 'in', 'earlier', 'papers', 'of', 'this', 'series', 'a', 'toy', 'cluster', 'is', 'made', 'with', 'zero', 'intrinsic', 'tf', 'dispersion', 'but', 'with', 'slopes', 'that', 'differ', 'between', 'the', 'calibrators', 'and', 'the', 'cluster', 'data', 'showing', 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712.2067 | Correlation between the transition temperature and the superfluid
density in BCS superconductor NbB_2+x | The results of the muon-spin rotation experiments on BCS superconductors
NbB_2+x (x = 0.2, 0.34) are reported. Both samples, studied in the present
work, exhibit rather broad transitions to the superconducting state, suggesting
a distribution of the volume fractions with different transition temperatures
(T_c)'s. By taking these distributions into account, the dependence of the
inverse squared zero-temperature magnetic penetration depth (\lambda_0^{-2}) on
T_c was reconstructed for temperatures in the range 1.5K<T_c<8.0K.
\lambda_0^{-2} was found to obey the power law dependence \lambda_0^{-2}\propto
T_c^{3.1(1)} which appears to be common for some families of BCS
superconductors as, {\it e.g.}, Al doped MgB_2 and high-temperature cuprate
superconductors as underdoped YBa_2Cu_3O_{7-\delta}.
| cond-mat.supr-con | the results of the muonspin rotation experiments on bcs superconductors nbb_2x x 02 034 are reported both samples studied in the present work exhibit rather broad transitions to the superconducting state suggesting a distribution of the volume fractions with different transition temperatures t_cs by taking these distributions into account the dependence of the inverse squared zerotemperature magnetic penetration depth lambda_02 on t_c was reconstructed for temperatures in the range 15kt_c80k lambda_02 was found to obey the power law dependence lambda_02propto t_c311 which appears to be common for some families of bcs superconductors as it eg al doped mgb_2 and hightemperature cuprate superconductors as underdoped yba_2cu_3o_7delta | [['the', 'results', 'of', 'the', 'muonspin', 'rotation', 'experiments', 'on', 'bcs', 'superconductors', 'nbb_2x', 'x', '02', '034', 'are', 'reported', 'both', 'samples', 'studied', 'in', 'the', 'present', 'work', 'exhibit', 'rather', 'broad', 'transitions', 'to', 'the', 'superconducting', 'state', 'suggesting', 'a', 'distribution', 'of', 'the', 'volume', 'fractions', 'with', 'different', 'transition', 'temperatures', 't_cs', 'by', 'taking', 'these', 'distributions', 'into', 'account', 'the', 'dependence', 'of', 'the', 'inverse', 'squared', 'zerotemperature', 'magnetic', 'penetration', 'depth', 'lambda_02', 'on', 't_c', 'was', 'reconstructed', 'for', 'temperatures', 'in', 'the', 'range', '15kt_c80k', 'lambda_02', 'was', 'found', 'to', 'obey', 'the', 'power', 'law', 'dependence', 'lambda_02propto', 't_c311', 'which', 'appears', 'to', 'be', 'common', 'for', 'some', 'families', 'of', 'bcs', 'superconductors', 'as', 'it', 'eg', 'al', 'doped', 'mgb_2', 'and', 'hightemperature', 'cuprate', 'superconductors', 'as', 'underdoped', 'yba_2cu_3o_7delta']] | [-0.11226508206581826, 0.23885138547232393, -0.05540008132004797, 0.0518315510990301, -0.04319482800172697, -0.15222076660870473, 0.10510859738731075, 0.3593877301468412, -0.193576824496325, -0.3132859535957917, 0.004145848673150533, -0.36482555407219297, -0.008636647125355678, 0.214969816221164, 0.021493695044687185, 0.05372334129665748, -0.12195281445574348, -0.03197805219823218, -0.16356312870831774, -0.25575720376823796, 0.2838299543052764, -0.006770000562514409, 0.3965347806213073, 0.06265160240149956, 0.01191795023969642, -0.053298296314654964, 0.13415553220225, 0.06178090173640464, -0.20939896065778663, -0.012730267623296505, 0.3270620511300714, -0.07130536493282802, 0.14557349367878666, -0.37153539587144213, -0.26621574055551006, 0.024197113040908432, 0.13352501382956183, 0.07167966715820909, -0.045144863650294964, -0.2737860829387284, 0.032281114563050835, -0.10756461905997873, -0.08261940188217207, -0.10077687984031031, 0.01580509242352725, 0.002690149441195449, -0.2427543222646017, 0.14151548401286623, 0.05727093044603889, 0.1299663632462668, -0.10014705899365173, -0.21818111104415822, -0.027052261906971065, 0.00022217861865416613, 0.07913552218181368, 0.05402522285164583, 0.13555770423862679, -0.10237110778689384, -0.019971421096787446, 0.33111237349117745, -0.012185724378369822, -0.014453255967928631, 0.1291255720586765, -0.21310226314489056, -0.07846285510199642, 0.16177610452701846, 0.09829558729941007, 0.07036981765461203, -0.14577785647003957, 0.056011865896952, -0.0567983338139066, 0.17141871826059304, 0.0365185244446897, 0.09048376454612111, 0.2353270589973372, 0.19227607657966933, -0.05346724828059721, 0.134829006296707, -0.1610813094856273, -0.05791592093398979, -0.2258173486086457, -0.12177700745771722, -0.18925293262974166, 0.05777721766769738, -0.07130316614002187, -0.17821979548523922, 0.3441868563837344, 0.15157631744335562, 0.2593084316064447, -0.009991283868531705, 0.196552613376649, 0.14278384032290392, 0.09683652139052122, 0.03721942898291763, 0.24629993130606231, 0.1967361266240662, 0.16101691645966604, -0.2809473609650913, 0.11609159739824049, -0.003806215799690252] |
712.2068 | A mechanistic model for +1 frameshifts in eubacteria | This work applies the methods of signal processing and the concepts of
control system design to model the maintenance and modulation of reading frame
in the process of protein synthesis. The model shows how translational speed
can modulate translational accuracy to accomplish programmed +1 frameshifts and
could have implications for the regulation of translational efficiency. A
series of free energy estimates were calculated from the ribosome's interaction
with mRNA sequences during the process of translation elongation in eubacteria.
A sinusoidal pattern of roughly constant phase was detected in these free
energy signals. Signal phase was identified as a useful parameter for locating
programmed +1 frameshifts encoded in bacterial genes for release factor 2. A
displacement model was developed that captures the mechanism of frameshift
based on the information content of the signal parameters and the relative
abundance of tRNA in the bacterial cell. Results are presented using
experimentally verified frameshift genes across eubacteria.
| q-bio.GN | this work applies the methods of signal processing and the concepts of control system design to model the maintenance and modulation of reading frame in the process of protein synthesis the model shows how translational speed can modulate translational accuracy to accomplish programmed 1 frameshifts and could have implications for the regulation of translational efficiency a series of free energy estimates were calculated from the ribosomes interaction with mrna sequences during the process of translation elongation in eubacteria a sinusoidal pattern of roughly constant phase was detected in these free energy signals signal phase was identified as a useful parameter for locating programmed 1 frameshifts encoded in bacterial genes for release factor 2 a displacement model was developed that captures the mechanism of frameshift based on the information content of the signal parameters and the relative abundance of trna in the bacterial cell results are presented using experimentally verified frameshift genes across eubacteria | [['this', 'work', 'applies', 'the', 'methods', 'of', 'signal', 'processing', 'and', 'the', 'concepts', 'of', 'control', 'system', 'design', 'to', 'model', 'the', 'maintenance', 'and', 'modulation', 'of', 'reading', 'frame', 'in', 'the', 'process', 'of', 'protein', 'synthesis', 'the', 'model', 'shows', 'how', 'translational', 'speed', 'can', 'modulate', 'translational', 'accuracy', 'to', 'accomplish', 'programmed', '1', 'frameshifts', 'and', 'could', 'have', 'implications', 'for', 'the', 'regulation', 'of', 'translational', 'efficiency', 'a', 'series', 'of', 'free', 'energy', 'estimates', 'were', 'calculated', 'from', 'the', 'ribosomes', 'interaction', 'with', 'mrna', 'sequences', 'during', 'the', 'process', 'of', 'translation', 'elongation', 'in', 'eubacteria', 'a', 'sinusoidal', 'pattern', 'of', 'roughly', 'constant', 'phase', 'was', 'detected', 'in', 'these', 'free', 'energy', 'signals', 'signal', 'phase', 'was', 'identified', 'as', 'a', 'useful', 'parameter', 'for', 'locating', 'programmed', '1', 'frameshifts', 'encoded', 'in', 'bacterial', 'genes', 'for', 'release', 'factor', '2', 'a', 'displacement', 'model', 'was', 'developed', 'that', 'captures', 'the', 'mechanism', 'of', 'frameshift', 'based', 'on', 'the', 'information', 'content', 'of', 'the', 'signal', 'parameters', 'and', 'the', 'relative', 'abundance', 'of', 'trna', 'in', 'the', 'bacterial', 'cell', 'results', 'are', 'presented', 'using', 'experimentally', 'verified', 'frameshift', 'genes', 'across', 'eubacteria']] | [-0.12130937420951775, 0.14769393683173784, -0.041409894639513535, 0.03357307324076115, -0.0191459126437229, -0.1361427868722506, 0.06218646017505842, 0.3844718664056725, -0.2852418257800095, -0.32548666791686043, 0.05742423341904761, -0.21811512243299397, -0.1524762189734021, 0.19576345285053784, -0.07199325365641343, 0.055454352763298825, 0.05471687447325345, 0.05209590391913319, 0.01770981359052064, -0.19561885298515846, 0.1983103464613212, 0.09537447497759964, 0.3150720483215611, 0.0176047820999634, 0.13213617390392993, -0.0319414552745525, -0.04408769412696654, -0.054890709916994074, -0.13277884237522455, 0.11663135942802125, 0.2540696839474026, 0.1691152232918231, 0.2157413576352197, -0.4194311814662678, -0.25084991761623254, 0.07015275022812383, 0.16720871477284366, 0.13257943882053, -0.06223895507971178, -0.24514756852066985, 0.08151303057017084, -0.1359476437548699, -0.07567404389831853, -0.0528858472940092, 0.023513643329756126, 0.0546333373956431, -0.2426215222507131, 0.14393544057688487, 0.04708127359129387, 0.10594570911885087, -0.11075031906792443, -0.09879618316578369, -0.06051529177884553, 0.19086268512239934, 0.05077346447540228, 0.038362624326848664, 0.21342964858133223, -0.1017502803291541, -0.1387158352638187, 0.3691132848692778, -0.05559945869521281, -0.19936214238283487, 0.13670020889691717, -0.10239002644997455, -0.14253359163192167, 0.1664096569685034, 0.17090316795823135, 0.06527004120993166, -0.18485078746392056, 0.017582629038800115, 0.06691295881238249, 0.24793602878173046, 0.1103495118844329, -0.02596772332170528, 0.17032100465696523, 0.19356852204362357, -0.009616311254539813, 0.14782913315172302, -0.12192569948653721, -0.08431792572091996, -0.22871555260868037, -0.15476549435346051, -0.14150238326397646, -0.037219448336187046, -0.07273103228543452, -0.09146101333907032, 0.4281453434986616, 0.1167530720730866, 0.16822420996522494, 0.042351536511929, 0.2624681759199578, 0.056003611470158726, 0.10093477916724225, -0.016338711580127674, 0.19408262428657147, 0.08695950575349426, 0.1041795502940278, -0.26049294044093224, 0.13803172190947569, 0.033249972914680355] |
712.2069 | Cohomology of Lie 2-groups | In this paper we study the cohomology of (strict) Lie 2-groups. We obtain an
explicit Bott-Shulman type map in the case of a Lie 2-group corresponding to
the crossed module $A\to 1$. The cohomology of the Lie 2-groups corresponding
to the universal crossed modules $G\to \Aut(G)$ and $G\to \Aut^+(G)$ is the
abutment of a spectral sequence involving the cohomology of $GL(n,\Z)$ and
$SL(n,\Z)$. When the dimension of the center of $G$ is less than 3, we compute
explicitly these cohomology groups. We also compute the cohomology of the Lie
2-group corresponding to a crossed module $G\to H$ whose kernel is compact and
cokernel is connected, simply connected and compact and apply the result to the
string 2-group.
| math.AT hep-th math.DG | in this paper we study the cohomology of strict lie 2groups we obtain an explicit bottshulman type map in the case of a lie 2group corresponding to the crossed module ato 1 the cohomology of the lie 2groups corresponding to the universal crossed modules gto autg and gto autg is the abutment of a spectral sequence involving the cohomology of glnz and slnz when the dimension of the center of g is less than 3 we compute explicitly these cohomology groups we also compute the cohomology of the lie 2group corresponding to a crossed module gto h whose kernel is compact and cokernel is connected simply connected and compact and apply the result to the string 2group | [['in', 'this', 'paper', 'we', 'study', 'the', 'cohomology', 'of', 'strict', 'lie', '2groups', 'we', 'obtain', 'an', 'explicit', 'bottshulman', 'type', 'map', 'in', 'the', 'case', 'of', 'a', 'lie', '2group', 'corresponding', 'to', 'the', 'crossed', 'module', 'ato', '1', 'the', 'cohomology', 'of', 'the', 'lie', '2groups', 'corresponding', 'to', 'the', 'universal', 'crossed', 'modules', 'gto', 'autg', 'and', 'gto', 'autg', 'is', 'the', 'abutment', 'of', 'a', 'spectral', 'sequence', 'involving', 'the', 'cohomology', 'of', 'glnz', 'and', 'slnz', 'when', 'the', 'dimension', 'of', 'the', 'center', 'of', 'g', 'is', 'less', 'than', '3', 'we', 'compute', 'explicitly', 'these', 'cohomology', 'groups', 'we', 'also', 'compute', 'the', 'cohomology', 'of', 'the', 'lie', '2group', 'corresponding', 'to', 'a', 'crossed', 'module', 'gto', 'h', 'whose', 'kernel', 'is', 'compact', 'and', 'cokernel', 'is', 'connected', 'simply', 'connected', 'and', 'compact', 'and', 'apply', 'the', 'result', 'to', 'the', 'string', '2group']] | [-0.2005194654238635, 0.06757870123629832, -0.06628280414011457, 0.06282120486942185, -0.14495827249604568, -0.09594192046367017, -0.008087390755776894, 0.3864913689743342, -0.3521489352951276, -0.2041243548737839, 0.12384569531523398, -0.19960173500043438, -0.1144470199220011, 0.1763145028501107, -0.13462609247754104, -0.10637400680169432, 0.03406961110484754, 0.19546739941318358, -0.08793335118138328, -0.2502107490656962, 0.4400900772628214, -0.01800449141943506, 0.17681384099454717, 0.007548843703136362, 0.09948903100629305, -0.014265907909279561, -0.03065012686420232, -0.0748761294987695, -0.1733013397676806, 0.12340564227859682, 0.31814037936193673, 0.01201541364746939, 0.1439667021582738, -0.3327082357337249, -0.0370396897437629, 0.20623882285495898, 0.10611435115851205, -0.016863562014146613, 0.015972101876255255, -0.29728043358170847, 0.1481307673605223, -0.26055405035530665, -0.10724140944135986, -0.036662326419147954, 0.0948335518418201, -0.05245410230468381, -0.22229870103684993, -0.0214217487797402, 0.0993424996990582, 0.10022892640775134, -0.07709073244015975, -0.06913923764810094, -0.09579859577633183, 0.13895760733530865, -0.07340980124467149, 0.05049632056736676, 0.16654614800715756, -0.09528402478137085, -0.11875381680347973, 0.3912063721157932, -0.06308528821343849, -0.15911758286428862, 0.1412111930629431, -0.19676472094102665, -0.20833320165623043, 0.13704472515282445, 0.037963258357445614, 0.1825459945642345, -0.0013233025680980564, 0.22781570895789754, -0.10009510083734219, 0.048008260365318634, 0.06303327769273892, -0.02884600415890073, 0.08302397919208582, 0.12162735423169516, 0.10707615754679488, 0.15333020851690451, 0.009413174104652014, 0.05750107222060063, -0.3943203191818862, -0.23913879604239402, -0.12383820719471009, 0.15513867932243336, -0.08994526755210747, -0.1479379095389018, 0.4307762746345894, 0.06961168882292534, 0.17350149071968063, 0.1456693676661636, 0.22424132155318713, 0.10363319218720726, 0.11880511419992124, 0.06392586986325553, 0.10524076507587371, 0.289922457702201, -0.08647311293391576, -0.14670934617230347, -0.1236995512475099, 0.23220519760045513] |
712.207 | Analytic models of ultra-cold atomic collisions at negative energies for
application to confinement-induced resonances | We construct simple analytic models of the $S$-matrix, accounting for both
scattering resonances and smooth background contributions for collisions that
occur below the s-wave threshold. Such models are important for studying
confinement-induced resonances such as those occurring in cold collisions of
$^{133}$Cs atoms in separated sites of a polarization-gradient optical lattice.
Because these resonances occur at negative energy with respect to the s-wave
threshold, they cannot be studied easily using direct numerical solutions of
the Schr\"{o}dinger equation. Using our analytic model, we extend previous
studies of negative-energy scattering to the multichannel case, accounting for
the interplay of Feshbach resonances, large background scattering lengths, and
inelastic processes.
| physics.atom-ph cond-mat.soft quant-ph | we construct simple analytic models of the smatrix accounting for both scattering resonances and smooth background contributions for collisions that occur below the swave threshold such models are important for studying confinementinduced resonances such as those occurring in cold collisions of 133cs atoms in separated sites of a polarizationgradient optical lattice because these resonances occur at negative energy with respect to the swave threshold they cannot be studied easily using direct numerical solutions of the schrodinger equation using our analytic model we extend previous studies of negativeenergy scattering to the multichannel case accounting for the interplay of feshbach resonances large background scattering lengths and inelastic processes | [['we', 'construct', 'simple', 'analytic', 'models', 'of', 'the', 'smatrix', 'accounting', 'for', 'both', 'scattering', 'resonances', 'and', 'smooth', 'background', 'contributions', 'for', 'collisions', 'that', 'occur', 'below', 'the', 'swave', 'threshold', 'such', 'models', 'are', 'important', 'for', 'studying', 'confinementinduced', 'resonances', 'such', 'as', 'those', 'occurring', 'in', 'cold', 'collisions', 'of', '133cs', 'atoms', 'in', 'separated', 'sites', 'of', 'a', 'polarizationgradient', 'optical', 'lattice', 'because', 'these', 'resonances', 'occur', 'at', 'negative', 'energy', 'with', 'respect', 'to', 'the', 'swave', 'threshold', 'they', 'can', 'not', 'be', 'studied', 'easily', 'using', 'direct', 'numerical', 'solutions', 'of', 'the', 'schrodinger', 'equation', 'using', 'our', 'analytic', 'model', 'we', 'extend', 'previous', 'studies', 'of', 'negativeenergy', 'scattering', 'to', 'the', 'multichannel', 'case', 'accounting', 'for', 'the', 'interplay', 'of', 'feshbach', 'resonances', 'large', 'background', 'scattering', 'lengths', 'and', 'inelastic', 'processes']] | [-0.13842144610673607, 0.182709583255384, -0.05432156820685786, 0.13403450829960475, -0.02168019155092607, -0.15003775413121992, 0.015141043328967329, 0.379446931218154, -0.22274723716915767, -0.24671053167304163, 0.006343057672884837, -0.3399351917938373, -0.09024997858034674, 0.17571616358402245, 0.09730509620716918, 0.07560426619983165, 0.07033057543492624, -0.01701488606979914, -0.02056112970773862, -0.17250408287917343, 0.3477583984087143, 0.025863221272060248, 0.18575629543199718, 0.13778208640934986, 0.004172021227183743, 0.05066191272975477, 0.040887589257419386, -0.04015925507470269, -0.1487327807917609, 0.07885196239828397, 0.31052413583543015, -0.004361457691884765, 0.1324128737046479, -0.46454019675675395, -0.24057356010530598, 0.11758022509062681, 0.2178995703373139, 0.20172666869274228, -0.057057460804826744, -0.30867360507695124, 0.013731159204530103, -0.13632723081543624, -0.1740949923851501, -0.09052801324994625, 0.015979348934281653, 0.026956363467969625, -0.30311878567135014, 0.1274887397841803, 0.0461661313632155, 0.05636373294134424, -0.11474175404792077, -0.1425488246343682, 0.004439785434629455, 0.060540753438476924, 0.025583419303636057, -0.025036908717712858, 0.14091882550932258, -0.13551323413718316, -0.11638060779632808, 0.37052996324323045, -0.08244153788034743, -0.15099269436306764, 0.22625082560649543, -0.15396848245236638, -0.06599900802318877, 0.1943805785588572, 0.2046644438904597, 0.10864381115719302, -0.13671227639419176, 0.0783739080728754, -0.011212132046451774, 0.11956841296681733, 0.13249844878859748, 0.07435048836017916, 0.19306558146463515, 0.1573214216122978, -0.052013643103364475, 0.0786894888162317, -0.08545486083706823, -0.10892223558501801, -0.32177735295877835, -0.051777247509214086, -0.12675716746250323, 0.02541706393373299, -0.03256234279278857, -0.1464890361737425, 0.3126021095586366, 0.1302838331386534, 0.2649008307223008, -0.018739027824148397, 0.2851311906140785, 0.17346957723705847, 0.07842062692654049, 0.028371003042976153, 0.2762203952123489, 0.16421504419679953, 0.03808257253579447, -0.26047373346540487, -0.011761679231389382, 0.006032027408619908] |
712.2071 | First-principles Predictor of the Location of Ergodic-Non-ergodic
Transitions | This letter presents a remarkably simple approach to the first-principles
determination of the ergodic-non-ergodic transition in monodisperse colloidal
suspensions. It consists of an equation for the long-time asymptotic value
$\gamma$ of the mean squared displacement of the colloidal particles, whose
finite real solutions signal the non-ergodic state, and determines the
non-ergodic parameter $f(k)$. We illustrate its concrete application to three
simple model colloidal systems, namely, hard-spheres, hard-spheres plus
repulsive (screened Coulomb) Yukawa interaction, and hard-sphere plus
attractive Yukawa tail. The results indicate that this is quite a competitive
theory, similar in spirit to, but conceptually independent from, the well-known
mode coupling theory.
| cond-mat.mtrl-sci | this letter presents a remarkably simple approach to the firstprinciples determination of the ergodicnonergodic transition in monodisperse colloidal suspensions it consists of an equation for the longtime asymptotic value gamma of the mean squared displacement of the colloidal particles whose finite real solutions signal the nonergodic state and determines the nonergodic parameter fk we illustrate its concrete application to three simple model colloidal systems namely hardspheres hardspheres plus repulsive screened coulomb yukawa interaction and hardsphere plus attractive yukawa tail the results indicate that this is quite a competitive theory similar in spirit to but conceptually independent from the wellknown mode coupling theory | [['this', 'letter', 'presents', 'a', 'remarkably', 'simple', 'approach', 'to', 'the', 'firstprinciples', 'determination', 'of', 'the', 'ergodicnonergodic', 'transition', 'in', 'monodisperse', 'colloidal', 'suspensions', 'it', 'consists', 'of', 'an', 'equation', 'for', 'the', 'longtime', 'asymptotic', 'value', 'gamma', 'of', 'the', 'mean', 'squared', 'displacement', 'of', 'the', 'colloidal', 'particles', 'whose', 'finite', 'real', 'solutions', 'signal', 'the', 'nonergodic', 'state', 'and', 'determines', 'the', 'nonergodic', 'parameter', 'fk', 'we', 'illustrate', 'its', 'concrete', 'application', 'to', 'three', 'simple', 'model', 'colloidal', 'systems', 'namely', 'hardspheres', 'hardspheres', 'plus', 'repulsive', 'screened', 'coulomb', 'yukawa', 'interaction', 'and', 'hardsphere', 'plus', 'attractive', 'yukawa', 'tail', 'the', 'results', 'indicate', 'that', 'this', 'is', 'quite', 'a', 'competitive', 'theory', 'similar', 'in', 'spirit', 'to', 'but', 'conceptually', 'independent', 'from', 'the', 'wellknown', 'mode', 'coupling', 'theory']] | [-0.10868973266356168, 0.1938847433605891, -0.13314391771221862, 0.04559895596078908, -0.028026738441457935, -0.20595473414926113, 0.013422434696443743, 0.3065246368082715, -0.2580229393594588, -0.24374585790450082, -0.017370078905586006, -0.30204206774942577, -0.1862262412175244, 0.11707406563857826, 0.01107648613990522, 0.05410675591659075, 0.031396866118644964, 0.01557106916409205, -0.04354208133493861, -0.19055264001351543, 0.24131267336676554, 0.006226330310763682, 0.2507318547566184, 0.08435949318307251, 0.11468553834357391, 0.04583482291348571, 0.07039599493602473, 0.01806583806561927, -0.1969271621547152, 0.054223141286010836, 0.20727847846437192, -0.04922186861942607, 0.2116203647033841, -0.3738792600548443, -0.17499073098559736, 0.10740057649045233, 0.17668397871631325, 0.10476119613147103, -0.06267177468786637, -0.28524245020896927, 0.013256765931716883, -0.20115787418120923, -0.19171280659479545, -0.0914957355160047, 0.007356759571634671, 0.022284558526806386, -0.2926574777355235, 0.16658936541837951, 0.06350226648489707, 0.009370312742961972, -0.09774389556111476, -0.12636532880566723, 0.0477515632542325, 0.05672613493459044, 0.09672049854484879, -0.0180500427069252, 0.18872531357805664, -0.14818471213163553, -0.06430258206091821, 0.4146815281653521, -0.08064244096806529, -0.18926310888377437, 0.2792285030214664, -0.11374823314448197, -0.09563885920900195, 0.1733000315543191, 0.13455524587291567, 0.10304205223242295, -0.17245250999671863, 0.13161306216851718, -0.03852216484779538, 0.1803494682067585, 0.019229185135176807, -0.034259990757039074, 0.19085246590468302, 0.20319878690597584, 0.022274161492675252, 0.15507936193813188, -0.02600893306125905, -0.20248478847126677, -0.29400384435589955, -0.13935876975529918, -0.2568990741864956, 0.04009070722888425, -0.17166849300602002, -0.2583377868252094, 0.3527527888999982, 0.11373673090665583, 0.15837879521160514, 0.10393383595110922, 0.2542062998411483, 0.0913388327987609, -0.02497885636893996, -0.0010578123117596203, 0.28572964092132214, 0.1717510809482751, 0.09809033846592202, -0.24579734138587453, 0.022489428442592423, 0.10138229849090909] |
712.2072 | On Character Amenability of Banach Algebras | Associated to a nonzero homomorphism $\varphi$ of a Banach algebra $A$, we
regard special functionals, say $m_\varphi$, on certain subspaces of $A^\ast$
which provide equivalent statements to the existence of a bounded right
approximate identity in the corresponding maximal ideal in $A$. For instance,
applying a fixed point theorem yields an equivalent statement to the existence
of a $m_\varphi$ on $A^\ast$; and, in addition we expatiate the case that if a
functional $m_\varphi$ is unique, then $m_\varphi$ belongs to the topological
center of the bidual algebra $A^{\ast\ast}$. An example of a function algebra,
surprisingly, contradicts a conjecture that a Banach algebra $A$ is amenable if
$A$ is $\varphi$-amenable in every character $\varphi$ and if functionals
$m_\varphi$ associated to the characters $\varphi$ are uniformly bounded.
Aforementioned are also elaborated on the direct sum of two given Banach
algebras.
| math.FA | associated to a nonzero homomorphism varphi of a banach algebra a we regard special functionals say m_varphi on certain subspaces of aast which provide equivalent statements to the existence of a bounded right approximate identity in the corresponding maximal ideal in a for instance applying a fixed point theorem yields an equivalent statement to the existence of a m_varphi on aast and in addition we expatiate the case that if a functional m_varphi is unique then m_varphi belongs to the topological center of the bidual algebra aastast an example of a function algebra surprisingly contradicts a conjecture that a banach algebra a is amenable if a is varphiamenable in every character varphi and if functionals m_varphi associated to the characters varphi are uniformly bounded aforementioned are also elaborated on the direct sum of two given banach algebras | [['associated', 'to', 'a', 'nonzero', 'homomorphism', 'varphi', 'of', 'a', 'banach', 'algebra', 'a', 'we', 'regard', 'special', 'functionals', 'say', 'm_varphi', 'on', 'certain', 'subspaces', 'of', 'aast', 'which', 'provide', 'equivalent', 'statements', 'to', 'the', 'existence', 'of', 'a', 'bounded', 'right', 'approximate', 'identity', 'in', 'the', 'corresponding', 'maximal', 'ideal', 'in', 'a', 'for', 'instance', 'applying', 'a', 'fixed', 'point', 'theorem', 'yields', 'an', 'equivalent', 'statement', 'to', 'the', 'existence', 'of', 'a', 'm_varphi', 'on', 'aast', 'and', 'in', 'addition', 'we', 'expatiate', 'the', 'case', 'that', 'if', 'a', 'functional', 'm_varphi', 'is', 'unique', 'then', 'm_varphi', 'belongs', 'to', 'the', 'topological', 'center', 'of', 'the', 'bidual', 'algebra', 'aastast', 'an', 'example', 'of', 'a', 'function', 'algebra', 'surprisingly', 'contradicts', 'a', 'conjecture', 'that', 'a', 'banach', 'algebra', 'a', 'is', 'amenable', 'if', 'a', 'is', 'varphiamenable', 'in', 'every', 'character', 'varphi', 'and', 'if', 'functionals', 'm_varphi', 'associated', 'to', 'the', 'characters', 'varphi', 'are', 'uniformly', 'bounded', 'aforementioned', 'are', 'also', 'elaborated', 'on', 'the', 'direct', 'sum', 'of', 'two', 'given', 'banach', 'algebras']] | [-0.16000474194488698, 0.08416133674885469, -0.10766446606061462, 0.08828375481135114, -0.10158216024561327, -0.13926676946080555, 0.016367705796025138, 0.3377286285273175, -0.3615246986442093, -0.12170797213282152, 0.13250427736176193, -0.2841603334179954, -0.10970152311596963, 0.19265519331362266, -0.12831085212111695, -0.022531102470525387, 0.06543394172939458, 0.15620012620812346, -0.1381831271851908, -0.20065580988163823, 0.36727807561019016, -0.03849285905103463, 0.18219410198559957, 0.06495319685982123, 0.14448875784109444, 0.0011061605399669107, 0.041468467942174916, 0.01525479352532594, -0.15343256657059154, 0.10522645220869402, 0.2575151074986988, 0.10309688788977688, 0.3063498579257571, -0.3244655601610343, -0.07893395606852345, 0.22529629882730878, 0.09045273823830396, -0.0430252767253125, -0.06789708847732548, -0.26444949248437283, 0.1525487680815216, -0.18686926674876195, -0.13835419476060057, -0.034607198419494195, 0.0926082484083556, -0.024539518135307886, -0.32816451837989824, 0.03138184826278107, 0.12699941824426625, 0.04406764716215765, -0.11823538441468141, -0.06900950026726212, -0.08006580269881594, 0.06425885193453018, -0.02858391126318932, 0.11084168159694814, 0.08676421385451304, -0.07893864446625447, -0.10587995837845687, 0.3736888251698284, -0.052045679943107846, -0.27199737927111894, 0.1302280348322507, -0.16965888146747168, -0.17415249381742592, 0.08747511075674069, 0.043204774666549775, 0.1266550532500468, -0.0704732951916643, 0.2378284166447137, -0.18046237156490114, 0.12163807389282086, 0.06403024484222727, 0.022219447031575464, 0.1462216895150104, 0.07064374159229224, 0.14852868494188495, 0.14878090229858434, 0.058900025927760544, -0.01979896677796965, -0.3876703002059193, -0.19206084876752166, -0.17031012478965654, 0.13208368174054524, -0.08559426287260365, -0.20050170100919568, 0.3750731116716764, 0.10437996175710056, 0.19708190557421812, 0.08342460832131136, 0.18778497832062752, 0.14957052250323233, 0.04927067716480858, 0.05186406004246074, 0.1325190182073292, 0.22755506458004185, -0.020508396063945188, -0.1100548930090866, 0.004674306997695743, 0.17787047360963779] |
712.2073 | Improved parameters for the transiting planet HD 17156b: a high-density
giant planet with a very eccentric orbit | We report high-precision transit photometry for the recently detected planet
HD 17156b. Using these new data with previously published transit photometry
and radial velocity measurements, we perform a combined analysis based on a
Markov Chain Monte Carlo approach. The resulting mass M_p = 3.09 (+0.22-0.17)
M_Jup and radius R_p = 1.23 (+0.17-0.20) R_Jup for the planet places it at the
outer edge of the density distribution of known transiting planets with rho_p =
1.66 (+1.37-0.60) rho_Jup. The obtained transit ephemeris is T_tr =
2454438.48271 (+0.00077-0.00057) + N x 21.21747 (+0.00070-0.00067) BJD. The
derived plausible tidal circularization time scales for HD 17156b are larger
than the age of the host star. The measured high orbital eccentricity e =
0.6719 (+0.0052-0.0063) can thus not be interpreted as the clear sign of the
presence of another body in the system.
| astro-ph | we report highprecision transit photometry for the recently detected planet hd 17156b using these new data with previously published transit photometry and radial velocity measurements we perform a combined analysis based on a markov chain monte carlo approach the resulting mass m_p 309 022017 m_jup and radius r_p 123 017020 r_jup for the planet places it at the outer edge of the density distribution of known transiting planets with rho_p 166 137060 rho_jup the obtained transit ephemeris is t_tr 245443848271 000077000057 n x 2121747 000070000067 bjd the derived plausible tidal circularization time scales for hd 17156b are larger than the age of the host star the measured high orbital eccentricity e 06719 0005200063 can thus not be interpreted as the clear sign of the presence of another body in the system | [['we', 'report', 'highprecision', 'transit', 'photometry', 'for', 'the', 'recently', 'detected', 'planet', 'hd', '17156b', 'using', 'these', 'new', 'data', 'with', 'previously', 'published', 'transit', 'photometry', 'and', 'radial', 'velocity', 'measurements', 'we', 'perform', 'a', 'combined', 'analysis', 'based', 'on', 'a', 'markov', 'chain', 'monte', 'carlo', 'approach', 'the', 'resulting', 'mass', 'm_p', '309', '022017', 'm_jup', 'and', 'radius', 'r_p', '123', '017020', 'r_jup', 'for', 'the', 'planet', 'places', 'it', 'at', 'the', 'outer', 'edge', 'of', 'the', 'density', 'distribution', 'of', 'known', 'transiting', 'planets', 'with', 'rho_p', '166', '137060', 'rho_jup', 'the', 'obtained', 'transit', 'ephemeris', 'is', 't_tr', '245443848271', '000077000057', 'n', 'x', '2121747', '000070000067', 'bjd', 'the', 'derived', 'plausible', 'tidal', 'circularization', 'time', 'scales', 'for', 'hd', '17156b', 'are', 'larger', 'than', 'the', 'age', 'of', 'the', 'host', 'star', 'the', 'measured', 'high', 'orbital', 'eccentricity', 'e', '06719', '0005200063', 'can', 'thus', 'not', 'be', 'interpreted', 'as', 'the', 'clear', 'sign', 'of', 'the', 'presence', 'of', 'another', 'body', 'in', 'the', 'system']] | [-0.1555162090044774, 0.1314763943397547, -0.10978911978910204, 0.028032964997214922, -0.09810114801540727, -0.12164838107867686, 0.08845996633782739, 0.33525739787299125, -0.16392039898262917, -0.3841089516817058, 0.09229365590726957, -0.30145487500751605, -0.03668311480661762, 0.211341902277753, -0.06569591426618825, 0.07881726092109304, 0.1693696138529168, -0.013032139441166378, -0.05672213886330118, -0.24358453336563038, 0.17597640990508628, 0.06736309061849825, 0.01904601848027745, -0.024888248446199003, 0.03265276662795423, 0.012052683253222923, -0.055294271825705885, -0.07163985447622225, -0.26102761600975743, 0.028650153939780154, 0.16103949660023095, 0.11187898198554873, 0.15874393091949282, -0.30759512209791506, -0.20038793483352074, 0.05484829784359508, 0.15969960268999098, 0.008498406045322046, -0.009313654267137534, -0.3207615191044408, 0.08210215940079117, -0.24323084887468302, -0.1762881746904955, 0.035476767637415745, 0.15474844063998613, -0.02373036834197577, -0.2831007260333014, 0.15938123786386835, 0.005036763475681121, 0.18761537305735906, -0.14856944612960224, -0.21404077672136215, -0.11523147123545165, 0.04848868694141141, 0.012310921074250011, 0.09393121018150791, 0.139645157462047, 0.01621963137371435, -0.03667466369167459, 0.38021080782178973, -0.13727262305903543, -0.022639818749100458, 0.2082012780277883, -0.22379161280839413, -0.14373667612213825, 0.16002769317653517, 0.1521355639379777, 0.1624609192921093, -0.17348446574856025, 0.0008337104943061828, -0.022780083163524978, 0.23458685613710617, 0.06892799484146545, 0.048818621318787336, 0.3651018822412999, 0.12802811944189282, 0.07345473183868606, 0.012366206749708803, -0.29702678347029343, -0.04439797946900801, -0.167389242276244, -0.10054301978928633, -0.2001665742899917, 0.03378307210297236, -0.1368974834662904, -0.08503170059535836, 0.3137573991276202, 0.1531839699827526, 0.1989818094756271, 0.08830931197974037, 0.30730829024534734, 0.11973697911818192, 0.10706219324445138, 0.11590129310326254, 0.29828037669668434, 0.14014769080271525, 0.08078566639775746, -0.2803693522267868, 0.10691497080241803, 0.016371671335588468] |
712.2074 | Flavorful Supersymmetry | Weak scale supersymmetry provides elegant solutions to many of the problems
of the standard model, but it also generically gives rise to excessive flavor
and CP violation. We show that if the mechanism that suppresses the Yukawa
couplings also suppresses flavor changing interactions in the supersymmetry
breaking parameters, essentially all the low energy flavor and CP constraints
can be satisfied. The standard assumption of flavor universality in the
supersymmetry breaking sector is not necessary. We study signatures of this
framework at the LHC. The mass splitting among different generations of squarks
and sleptons can be much larger than in conventional scenarios, and even the
mass ordering can be changed. We find that there is a plausible scenario in
which the NLSP is a long-lived right-handed selectron or smuon decaying into
the LSP gravitino. This leads to the spectacular signature of monochromatic
electrons or muons in a stopper detector, providing strong evidence for the
framework.
| hep-ph | weak scale supersymmetry provides elegant solutions to many of the problems of the standard model but it also generically gives rise to excessive flavor and cp violation we show that if the mechanism that suppresses the yukawa couplings also suppresses flavor changing interactions in the supersymmetry breaking parameters essentially all the low energy flavor and cp constraints can be satisfied the standard assumption of flavor universality in the supersymmetry breaking sector is not necessary we study signatures of this framework at the lhc the mass splitting among different generations of squarks and sleptons can be much larger than in conventional scenarios and even the mass ordering can be changed we find that there is a plausible scenario in which the nlsp is a longlived righthanded selectron or smuon decaying into the lsp gravitino this leads to the spectacular signature of monochromatic electrons or muons in a stopper detector providing strong evidence for the framework | [['weak', 'scale', 'supersymmetry', 'provides', 'elegant', 'solutions', 'to', 'many', 'of', 'the', 'problems', 'of', 'the', 'standard', 'model', 'but', 'it', 'also', 'generically', 'gives', 'rise', 'to', 'excessive', 'flavor', 'and', 'cp', 'violation', 'we', 'show', 'that', 'if', 'the', 'mechanism', 'that', 'suppresses', 'the', 'yukawa', 'couplings', 'also', 'suppresses', 'flavor', 'changing', 'interactions', 'in', 'the', 'supersymmetry', 'breaking', 'parameters', 'essentially', 'all', 'the', 'low', 'energy', 'flavor', 'and', 'cp', 'constraints', 'can', 'be', 'satisfied', 'the', 'standard', 'assumption', 'of', 'flavor', 'universality', 'in', 'the', 'supersymmetry', 'breaking', 'sector', 'is', 'not', 'necessary', 'we', 'study', 'signatures', 'of', 'this', 'framework', 'at', 'the', 'lhc', 'the', 'mass', 'splitting', 'among', 'different', 'generations', 'of', 'squarks', 'and', 'sleptons', 'can', 'be', 'much', 'larger', 'than', 'in', 'conventional', 'scenarios', 'and', 'even', 'the', 'mass', 'ordering', 'can', 'be', 'changed', 'we', 'find', 'that', 'there', 'is', 'a', 'plausible', 'scenario', 'in', 'which', 'the', 'nlsp', 'is', 'a', 'longlived', 'righthanded', 'selectron', 'or', 'smuon', 'decaying', 'into', 'the', 'lsp', 'gravitino', 'this', 'leads', 'to', 'the', 'spectacular', 'signature', 'of', 'monochromatic', 'electrons', 'or', 'muons', 'in', 'a', 'stopper', 'detector', 'providing', 'strong', 'evidence', 'for', 'the', 'framework']] | [-0.13816745480516465, 0.2837343222594687, -0.03849698530242464, 0.20397841437287362, -0.10636843238237569, -0.2025564818101778, 0.03776942468898419, 0.3161795720905549, -0.24816838059840457, -0.3269567675586161, 0.047898686278532804, -0.24667105059345046, -0.041694970421988956, 0.12400865328328853, 0.020643021784384142, -0.00820628834084015, 0.06759911826388403, -0.02827816443251712, -0.07711325562710257, -0.21635608572751744, 0.2620364806806448, 0.024582199480191066, 0.22609670677935922, 0.13968689597889103, 0.046112547187110435, -0.052682386531325225, 0.021087689675971286, -0.05371297233096965, -0.06265955371701865, 0.03158729342447424, 0.15933831106695986, 0.12039200710011767, 0.11495034125718204, -0.4002953451610618, -0.16382160020444855, 0.2384617349114753, 0.17174605453120811, 0.13702849928189867, -0.10261235828435823, -0.29594255669961694, 0.1199882922681992, -0.1902763104586342, -0.1094088753271098, -0.053591797870656405, -0.04657909757602815, -0.13573853902113564, -0.3501331568181563, 0.13125428068413786, 0.041194767279961665, -0.03645696219468078, 0.01694233724605534, -0.11115283626827181, -0.06762675574811344, 0.005363651188453297, 0.19611981135638817, -0.016950305084117337, 0.12756312728629676, -0.1903085487761668, -0.12689865881867415, 0.44949078059138414, -0.06543053417398924, -0.17497134614772128, 0.20603335977761777, -0.1477388825098222, -0.17474378208787023, 0.14916156622423948, 0.16404568878994263, 0.0832302380812826, -0.1491380112862529, 0.14662600617705354, -0.07142974995681411, 0.18720683261340895, 0.06499766152013432, 0.08005258659590278, 0.27338519287235163, 0.19832941407168453, 0.12656803322652077, 0.06508015382009885, -0.021300275521670384, -0.0778387016276587, -0.3763360288538426, -0.12593722017481923, -0.07455301282144236, 0.045420493874732897, -0.07379795147927007, -0.0788406918941114, 0.43640723697804884, 0.13658627519511024, 0.20826199824329128, 0.004306174767076631, 0.283333810264027, 0.10461946018682733, 0.13746990751196908, 0.03438649162371921, 0.30810925021900665, 0.07559398351866123, 0.10796503128949553, -0.23722002161031758, 0.026035425065738426, 0.051401113752614365] |
712.2075 | ($\ell,0)$-Carter partitions, a generating function, and their crystal
theoretic interpretation | In this paper we give an alternate combinatorial description of the
"$(\ell,0)$-JM partitions" (see \cite{F}) that are also $\ell$-regular. Our
main theorem is the equivalence of our combinatoric and the one introduced by
James and Mathas (\cite{JM}). The condition of being an $(\ell,0)$-JM partition
is fundamentally related to the hook lengths of the partition. The
representation-theoretic significance of their combinatoric on an
$\ell$-regular partition is that it indicates the irreducibility of the
corresponding specialized Specht module over the finite Hecke algebra (see
\cite{JM}). We use our result to find a generating series which counts the
number of such partitions, with respect to the statistic of a partition's first
part. We then apply our description of these partitions to the crystal graph
$B(\Lambda_0)$ of the basic representation of $\hat{\mathfrak{sl}_{\ell}}$,
whose nodes are labeled by $\ell$-regular partitions. Here we give a fairly
simple crystal-theoretic rule which generates all $\ell$-regular $(\ell,0)$-JM
partitions in the graph $B(\Lambda_0)$. Finally, we mention how our
construction can be generalized to recent results of M. Fayers (see \cite{F})
and S. Lyle (see \cite{L}) to count the total number of (not necessarily
$\ell$-regular) Specht modules which stay irreducible at a primitive $\ell$th
root of unity (for $\ell >2$).
| math.CO math.RT | in this paper we give an alternate combinatorial description of the ell0jm partitions see citef that are also ellregular our main theorem is the equivalence of our combinatoric and the one introduced by james and mathas citejm the condition of being an ell0jm partition is fundamentally related to the hook lengths of the partition the representationtheoretic significance of their combinatoric on an ellregular partition is that it indicates the irreducibility of the corresponding specialized specht module over the finite hecke algebra see citejm we use our result to find a generating series which counts the number of such partitions with respect to the statistic of a partitions first part we then apply our description of these partitions to the crystal graph blambda_0 of the basic representation of hatmathfraksl_ell whose nodes are labeled by ellregular partitions here we give a fairly simple crystaltheoretic rule which generates all ellregular ell0jm partitions in the graph blambda_0 finally we mention how our construction can be generalized to recent results of m fayers see citef and s lyle see citel to count the total number of not necessarily ellregular specht modules which stay irreducible at a primitive ellth root of unity for ell 2 | [['in', 'this', 'paper', 'we', 'give', 'an', 'alternate', 'combinatorial', 'description', 'of', 'the', 'ell0jm', 'partitions', 'see', 'citef', 'that', 'are', 'also', 'ellregular', 'our', 'main', 'theorem', 'is', 'the', 'equivalence', 'of', 'our', 'combinatoric', 'and', 'the', 'one', 'introduced', 'by', 'james', 'and', 'mathas', 'citejm', 'the', 'condition', 'of', 'being', 'an', 'ell0jm', 'partition', 'is', 'fundamentally', 'related', 'to', 'the', 'hook', 'lengths', 'of', 'the', 'partition', 'the', 'representationtheoretic', 'significance', 'of', 'their', 'combinatoric', 'on', 'an', 'ellregular', 'partition', 'is', 'that', 'it', 'indicates', 'the', 'irreducibility', 'of', 'the', 'corresponding', 'specialized', 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712.2076 | On the irreducible representations of a finite semigroup | Work of Clifford, Munn and Ponizovski{\u\i} parameterized the irreducible
representations of a finite semigroup in terms of the irreducible
representations of its maximal subgroups. Explicit constructions of the
irreducible representations were later obtained independently by Rhodes and
Zalcstein and by Lallement and Petrich. All of these approaches make use of
Rees's theorem characterizing 0-simple semigroups up to isomorphism. Here we
provide a short modern proof of the Clifford-Munn-Ponizovski{\u\i} result based
on a lemma of J. A. Green, which allows us to circumvent the theory of 0-simple
semigroups. A novelty of this approach is that it works over any base ring.
| math.RT math.GR | work of clifford munn and ponizovskiui parameterized the irreducible representations of a finite semigroup in terms of the irreducible representations of its maximal subgroups explicit constructions of the irreducible representations were later obtained independently by rhodes and zalcstein and by lallement and petrich all of these approaches make use of reess theorem characterizing 0simple semigroups up to isomorphism here we provide a short modern proof of the cliffordmunnponizovskiui result based on a lemma of j a green which allows us to circumvent the theory of 0simple semigroups a novelty of this approach is that it works over any base ring | [['work', 'of', 'clifford', 'munn', 'and', 'ponizovskiui', 'parameterized', 'the', 'irreducible', 'representations', 'of', 'a', 'finite', 'semigroup', 'in', 'terms', 'of', 'the', 'irreducible', 'representations', 'of', 'its', 'maximal', 'subgroups', 'explicit', 'constructions', 'of', 'the', 'irreducible', 'representations', 'were', 'later', 'obtained', 'independently', 'by', 'rhodes', 'and', 'zalcstein', 'and', 'by', 'lallement', 'and', 'petrich', 'all', 'of', 'these', 'approaches', 'make', 'use', 'of', 'reess', 'theorem', 'characterizing', '0simple', 'semigroups', 'up', 'to', 'isomorphism', 'here', 'we', 'provide', 'a', 'short', 'modern', 'proof', 'of', 'the', 'cliffordmunnponizovskiui', 'result', 'based', 'on', 'a', 'lemma', 'of', 'j', 'a', 'green', 'which', 'allows', 'us', 'to', 'circumvent', 'the', 'theory', 'of', '0simple', 'semigroups', 'a', 'novelty', 'of', 'this', 'approach', 'is', 'that', 'it', 'works', 'over', 'any', 'base', 'ring']] | [-0.1004867858433982, 0.08164774347096682, -0.13444662234764926, 0.03630606062729292, -0.09671923899500422, -0.10146749924336161, 0.06191850080492203, 0.3137287555680591, -0.2765381732071769, -0.23712625909520654, 0.12193533850296838, -0.23901903296227459, -0.14137280371980931, 0.23893709283628578, -0.10514238608373823, 0.0026497143333806296, 0.05388095804813261, 0.03664013795460793, -0.10652480716104334, -0.2693085607203028, 0.3544387825745709, -0.0022339389032247116, 0.21417193874694188, 0.07003889597800313, 0.1491579183158156, 0.03182729862497321, -0.11595248931790797, -0.06360677364567409, -0.13432951561659065, 0.21249618354652608, 0.31903987766566627, 0.10560195721989991, 0.24307658807231988, -0.37397881955554596, -0.14564095471738553, 0.1672475761924015, 0.11714070994520978, 0.07052029175470031, 0.03032250863343135, -0.28172826295604514, 0.11437929576566937, -0.21216742937662164, -0.13604222008084155, -0.09071217317666326, 0.0598500196118744, 0.02793397137191983, -0.22543979132053804, -0.0038140989811520794, 0.18818380750658714, 0.10133378998357423, -0.05206342462428883, -0.07810820351183718, 0.006574549156298138, 0.10099192464971268, -0.01524199282379859, 0.01548903624465385, 0.06898372004055703, -0.07341195579513679, -0.16429778672184567, 0.32415376400232926, -0.031669434364314894, -0.17830191666678508, 0.16518268068273534, -0.10612353641148989, -0.15130884218865967, 0.11177853414104605, 0.0790960180136014, 0.16027144509918836, -0.09418290545474928, 0.18897032628206498, -0.1270998513981776, 0.07189081188847254, 0.1211443905604585, -0.006572357329007771, 0.09282305695078506, 0.0851481994910983, 0.03898591556311918, 0.13332512532836016, 0.06844778645935716, -0.0071218961336630944, -0.312750905296024, -0.16440748433316393, -0.16397007357813798, 0.11165554989224338, -0.08099076782807005, -0.1661674324233009, 0.43712977497667377, 0.13216542880697063, 0.16672053481737265, 0.12914289332740958, 0.2201985885123057, 0.06102005624193318, 0.07490328753994284, 0.06973701709767385, 0.10364747487426716, 0.24409132118916557, -0.015223501764513475, -0.14692164315576, -0.005124782860678222, 0.20067087419293062] |
712.2077 | The Formation of Constellation III in the Large Magellanic Cloud | We present a detailed reconstruction of the star-formation history of the
Constellation III region in the Large Magellanic Cloud, to constrain the
formation mechanism of this enigmatic feature. Star formation in Constellation
III seems to have taken place during two distinct epochs: there is the 8-15 Myr
epoch that had previously been recognized, but we also see strong evidence for
a separate "burst" of star formation 25-30 Myr ago. The "super-supernova" or
GRB blast wave model for the formation of Constellation III is difficult to
reconcile with such an extended, two-epoch star formation history, because the
shock wave should have induced star formation throughout the structure
simultaneously, and any unconsumed gas would quickly be dissipated, leaving
nothing from which to form a subsequent burst of activity. We propose a "truly
stochastic" self-propagating star formation model, distinct from the canonical
model in which star formation proceeds in a radially-directed wave from the
center of Constellation III to its perimeter. As others have noted, and we now
confirm, the bulk age gradients demanded by such a model are simply not present
in Constellation III. In our scenario, the prestellar gas is somehow pushed
into these large-scale arc structures, without simultaneously triggering
immediate and violent star formation throughout the structure. Rather, star
formation proceeds in the arc according to the local physical conditions of the
gas. Self-propagating star formation is certainly possible, but in a truly
stochastic manner, without a directed, large scale pattern.
| astro-ph | we present a detailed reconstruction of the starformation history of the constellation iii region in the large magellanic cloud to constrain the formation mechanism of this enigmatic feature star formation in constellation iii seems to have taken place during two distinct epochs there is the 815 myr epoch that had previously been recognized but we also see strong evidence for a separate burst of star formation 2530 myr ago the supersupernova or grb blast wave model for the formation of constellation iii is difficult to reconcile with such an extended twoepoch star formation history because the shock wave should have induced star formation throughout the structure simultaneously and any unconsumed gas would quickly be dissipated leaving nothing from which to form a subsequent burst of activity we propose a truly stochastic selfpropagating star formation model distinct from the canonical model in which star formation proceeds in a radiallydirected wave from the center of constellation iii to its perimeter as others have noted and we now confirm the bulk age gradients demanded by such a model are simply not present in constellation iii in our scenario the prestellar gas is somehow pushed into these largescale arc structures without simultaneously triggering immediate and violent star formation throughout the structure rather star formation proceeds in the arc according to the local physical conditions of the gas selfpropagating star formation is certainly possible but in a truly stochastic manner without a directed large scale pattern | [['we', 'present', 'a', 'detailed', 'reconstruction', 'of', 'the', 'starformation', 'history', 'of', 'the', 'constellation', 'iii', 'region', 'in', 'the', 'large', 'magellanic', 'cloud', 'to', 'constrain', 'the', 'formation', 'mechanism', 'of', 'this', 'enigmatic', 'feature', 'star', 'formation', 'in', 'constellation', 'iii', 'seems', 'to', 'have', 'taken', 'place', 'during', 'two', 'distinct', 'epochs', 'there', 'is', 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0.026819893136174264] |
712.2078 | Algebraic Solution of the Harmonic Oscillator With Minimal Length
Uncertainty Relations | In quantum mechanics with minimal length uncertainty relations the
Heisenberg-Weyl algebra of the one-dimensional harmonic oscillator is a
deformed SU(1,1) algebra. The eigenvalues and eigenstates are constructed
algebraically and they form the infinite-dimensional representation of the
deformed SU(1,1) algebra. Our construction is independent of prior knowledge of
the exact solution of the Schr\"odinger equation of the model. The approach can
be generalized to the $D$-dimensional oscillator with non-commuting
coordinates.
| quant-ph | in quantum mechanics with minimal length uncertainty relations the heisenbergweyl algebra of the onedimensional harmonic oscillator is a deformed su11 algebra the eigenvalues and eigenstates are constructed algebraically and they form the infinitedimensional representation of the deformed su11 algebra our construction is independent of prior knowledge of the exact solution of the schrodinger equation of the model the approach can be generalized to the ddimensional oscillator with noncommuting coordinates | [['in', 'quantum', 'mechanics', 'with', 'minimal', 'length', 'uncertainty', 'relations', 'the', 'heisenbergweyl', 'algebra', 'of', 'the', 'onedimensional', 'harmonic', 'oscillator', 'is', 'a', 'deformed', 'su11', 'algebra', 'the', 'eigenvalues', 'and', 'eigenstates', 'are', 'constructed', 'algebraically', 'and', 'they', 'form', 'the', 'infinitedimensional', 'representation', 'of', 'the', 'deformed', 'su11', 'algebra', 'our', 'construction', 'is', 'independent', 'of', 'prior', 'knowledge', 'of', 'the', 'exact', 'solution', 'of', 'the', 'schrodinger', 'equation', 'of', 'the', 'model', 'the', 'approach', 'can', 'be', 'generalized', 'to', 'the', 'ddimensional', 'oscillator', 'with', 'noncommuting', 'coordinates']] | [-0.12335317433420298, 0.1467669420349209, -0.09024635393870994, 0.03166704091405415, -0.11639975128776353, -0.15469261889845348, -0.07106698624641243, 0.3294272012603672, -0.2988693649354188, -0.21072241018080842, 0.07335144275144768, -0.2766390955952954, -0.15831213806202446, 0.15589178527327444, -0.053633308294566646, 0.07880247378910797, 0.0913950197695606, 0.15024006436916365, -0.14778655241209798, -0.20031466148793697, 0.3290320249220383, 0.027130797029594363, 0.25329171432573616, -0.09908611043963743, 0.15482912527100332, 0.02422148383397987, 0.03915842715650797, -0.07720931032267601, -0.11825585014362267, 0.1673203909607685, 0.26254642865472083, 0.08886427050057809, 0.18256044663164928, -0.4014259813272435, -0.14779491953010185, 0.13565045542529094, 0.17752410813599176, 0.1302007245088833, 0.06118950745819703, -0.37260634662664455, -0.06474250145391494, -0.22697514520310189, -0.21326115771966137, -0.08715504777712235, 0.041928610359521015, -0.014310331529249315, -0.22522819625294727, 0.10821586601652097, 0.10227476334219555, 0.047461850551780364, -0.11314582060752572, -0.06728801388374489, -0.06791410154824995, 0.05186121779210542, -0.06852257430074278, -0.009310591453011486, 0.12988051243018414, -0.04905940528851056, -0.14710463947899963, 0.3775670442028322, 0.009036563012910925, -0.3494890264194945, 0.04404235152068777, -0.17378150906575762, -0.11873805647769915, 0.04645774038710996, 0.07977012068411146, 0.07851261183943438, -0.12197929920385712, 0.2375556637475645, -0.09050411971258944, 0.1023281314034872, 0.04549738726295207, 0.04488979423067708, 0.1444439822268011, 0.07361168414354324, 0.008842875627611858, 0.14317161700371112, 0.05392704350684864, -0.19806552519751847, -0.388346282252367, -0.1446213362543621, -0.21252781239783633, 0.13203188574508481, -0.1650347395633867, -0.17430602440583534, 0.41969084060426964, 0.07712826115902567, 0.12681705626807566, 0.047083168412032333, 0.2143463434084602, 0.23787175441005579, 0.08269438335159118, 0.02854022962729568, 0.18624638654696551, 0.2763626030494418, -0.020311307469112933, -0.24934284644879642, -0.09735956216109512, 0.18557542550337056] |
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