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707.333 | Extended Air Shower Simulations Based on EPOS | We discuss air shower simulations based on the EPOS hadronic interaction
model.
A remarkable feature is the fact that the number of produced muons is
considerably larger compared to other interaction models. We show that this is
due to an improved treatment of baryon-antibaryon production.
| astro-ph hep-ph | we discuss air shower simulations based on the epos hadronic interaction model a remarkable feature is the fact that the number of produced muons is considerably larger compared to other interaction models we show that this is due to an improved treatment of baryonantibaryon production | [['we', 'discuss', 'air', 'shower', 'simulations', 'based', 'on', 'the', 'epos', 'hadronic', 'interaction', 'model', 'a', 'remarkable', 'feature', 'is', 'the', 'fact', 'that', 'the', 'number', 'of', 'produced', 'muons', 'is', 'considerably', 'larger', 'compared', 'to', 'other', 'interaction', 'models', 'we', 'show', 'that', 'this', 'is', 'due', 'to', 'an', 'improved', 'treatment', 'of', 'baryonantibaryon', 'production']] | [-0.07110803433073064, 0.19389706339150306, -0.11028824297504293, 0.11428559229502247, -0.02275157504611545, -0.05998927156130473, -0.05516069712660586, 0.39484725031587814, -0.1981540232896805, -0.31879305462870333, -0.026213582791388034, -0.3423227411798305, -0.07771615162491799, 0.1863319574907008, 0.012652073805737827, 0.001618315941757626, 0.17631823292209042, 0.012314249937319093, -0.0389916218455053, -0.21169617911800742, 0.2692799420302941, 0.14747435947259266, 0.2831774839096599, 0.17410037000146178, 0.05817599149627818, -0.015202568626652162, -0.06587724467713593, 0.009187619416560563, -0.06867227857680215, 0.11471963044669893, 0.15192404010748659, 0.10876046364816526, 0.14869033404522472, -0.4279000358035167, -0.2254613153843416, 0.13516662446781993, 0.14693128663218682, 0.11258932896372345, -0.0787505520430083, -0.26734324426700673, 0.092289889521069, -0.26513753570616244, -0.09670046595856548, -0.031320459478431276, -0.053640232607722285, -0.016439369175997046, -0.297094727286862, 0.04356448259204626, 0.01217979248225068, 0.019273082648093503, -0.01592041340449618, -0.1746774405034052, -0.030604344073476064, 0.05479614324091623, 0.13020800513784506, 0.06879651340552502, 0.13693433372924727, -0.18542897700746025, -0.13275552122957177, 0.41049758344888687, -0.047723115297655265, -0.16635741252038214, 0.2575240522674802, -0.13249896448105575, -0.10758710280060768, 0.17459509116080071, 0.22136620324518946, 0.07102768678839008, -0.16382655799388884, 0.02156153286082877, -0.02672287587904268, 0.20779782926353316, -0.009349427123864492, -0.002514390709499518, 0.13034219253394339, 0.25028719769583807, -0.003952810799496042, 0.134294049463804, -0.08933399037664963, -0.07879848933468263, -0.2880974918603897, -0.12893546230884062, -0.16276986035000945, 0.044119870722190375, -0.07494503979881605, -0.13736577294766902, 0.3766341951572233, 0.23151110296861993, 0.1950859272438619, 0.0081471283816629, 0.32579945158213375, 0.08039012801729971, 0.05507722532687088, 0.03877501148316595, 0.32076134278128543, 0.10687881136933962, 0.05031358130897085, -0.26168315660518904, 0.11046966531624397, 0.05655543081876305] |
707.3331 | On positivity of quantum measure and of effective action in area tensor
Regge calculus | Because of unboundedness of the general relativity action, Euclidean version
of the path integral in general relativity requires definition. Area tensor
Regge calculus is considered in the representation with independent area tensor
and finite rotation matrices. Being integrated over rotation matrices the path
integral measure in area tensor Regge calculus is rewritten by moving
integration contours to complex plain so that it looks as that one with
effective action in the exponential with positive real part. We speculate that
positivity of the measure can be expected in the most part of range of
variation of area tensors.
| hep-th gr-qc | because of unboundedness of the general relativity action euclidean version of the path integral in general relativity requires definition area tensor regge calculus is considered in the representation with independent area tensor and finite rotation matrices being integrated over rotation matrices the path integral measure in area tensor regge calculus is rewritten by moving integration contours to complex plain so that it looks as that one with effective action in the exponential with positive real part we speculate that positivity of the measure can be expected in the most part of range of variation of area tensors | [['because', 'of', 'unboundedness', 'of', 'the', 'general', 'relativity', 'action', 'euclidean', 'version', 'of', 'the', 'path', 'integral', 'in', 'general', 'relativity', 'requires', 'definition', 'area', 'tensor', 'regge', 'calculus', 'is', 'considered', 'in', 'the', 'representation', 'with', 'independent', 'area', 'tensor', 'and', 'finite', 'rotation', 'matrices', 'being', 'integrated', 'over', 'rotation', 'matrices', 'the', 'path', 'integral', 'measure', 'in', 'area', 'tensor', 'regge', 'calculus', 'is', 'rewritten', 'by', 'moving', 'integration', 'contours', 'to', 'complex', 'plain', 'so', 'that', 'it', 'looks', 'as', 'that', 'one', 'with', 'effective', 'action', 'in', 'the', 'exponential', 'with', 'positive', 'real', 'part', 'we', 'speculate', 'that', 'positivity', 'of', 'the', 'measure', 'can', 'be', 'expected', 'in', 'the', 'most', 'part', 'of', 'range', 'of', 'variation', 'of', 'area', 'tensors']] | [-0.13426022115403535, 0.10939821023878056, -0.11287803024284004, 0.07831592206151906, -0.12865763537816166, -0.09594494271447364, -0.06260053496045713, 0.3432075453480494, -0.27939951837125243, -0.2754201500714977, 0.12019515107505829, -0.2597358291968703, -0.1711722401921282, 0.14919104737220043, -0.11447242415538922, 0.030306282968106727, 0.055106512933355015, 0.09703947567217744, -0.08575382386454256, -0.21546809192862093, 0.3366425652921046, 0.023471592579843457, 0.23333618011248788, 0.04049732025770336, 0.1407198004386167, 0.057095135965374945, -0.06907105868857488, 0.05828985548338171, -0.03986633116655117, 0.16871701307671585, 0.28099663537499714, 0.1290760215919569, 0.2124320959171866, -0.3835230854138271, -0.1908756456693116, 0.09714332589706809, 0.12678519857221657, 0.04582624448482523, 0.01668043858995757, -0.2544989261161728, 0.06874694636322021, -0.1601566005901424, -0.18339607599143362, -0.06532821484082907, 0.10106730909979682, -0.06923902912315019, -0.1916655639052084, 0.0642385741767171, 0.032569585608068816, 0.06396204502965064, -0.07783042715103894, -0.1290390306133201, 0.03094757080063723, 0.08731754976756793, 0.09312392964709512, 0.0664471863245726, 0.1461576422311596, -0.09624943204857793, -0.08252623530354389, 0.3739795790044303, -0.1117982342839241, -0.2993116332698114, 0.08380675051582151, -0.21075108912821436, -0.1082119826976325, 0.11933023694509007, 0.13061822455054745, 0.13427652675927298, -0.13136677206829958, 0.16297632484089525, -0.02857204656279886, 0.10730791589864482, 0.09313797120235323, 0.04280737657988079, 0.18345667683407207, 0.095126513967809, 0.12322730600795488, 0.11972700497111517, -0.04026767981632315, -0.1851023963710159, -0.3620875828140943, -0.2041985913439049, -0.1840835070722381, 0.08455764189285715, -0.15102949781213124, -0.20541965241841587, 0.34937995288175405, 0.06445145133172267, 0.14784803589237086, 0.12178122778855187, 0.2739092412875178, 0.16217248737884052, 0.15278380018774151, 0.06564318972359803, 0.21140957793662535, 0.17527823259852365, 0.10503392831600011, -0.17327530590634907, 0.023968714272564987, 0.11473242172337685] |
707.3332 | Elliptic flow of deuterons in relativistic heavy-ion collisions | Using a dynamical model based on the $NN \to d\pi$, $NNN \to dN$, and $NN\pi
\to d\pi$ reactions and measured proton and pion transverse momentum spectra
and elliptic flows, we study the production of deuterons and their elliptic
flow in heavy ion collisions at RHIC. The results are compared with those from
the coalescence model. The deviation of deuteron elliptic flow from the
constituent nucleon number scaling expected from the coalescence model and the
comparison with the experimental data are discussed in connection to the
allowed nucleon phase space in these reactions.
| nucl-th hep-ph | using a dynamical model based on the nn to dpi nnn to dn and nnpi to dpi reactions and measured proton and pion transverse momentum spectra and elliptic flows we study the production of deuterons and their elliptic flow in heavy ion collisions at rhic the results are compared with those from the coalescence model the deviation of deuteron elliptic flow from the constituent nucleon number scaling expected from the coalescence model and the comparison with the experimental data are discussed in connection to the allowed nucleon phase space in these reactions | [['using', 'a', 'dynamical', 'model', 'based', 'on', 'the', 'nn', 'to', 'dpi', 'nnn', 'to', 'dn', 'and', 'nnpi', 'to', 'dpi', 'reactions', 'and', 'measured', 'proton', 'and', 'pion', 'transverse', 'momentum', 'spectra', 'and', 'elliptic', 'flows', 'we', 'study', 'the', 'production', 'of', 'deuterons', 'and', 'their', 'elliptic', 'flow', 'in', 'heavy', 'ion', 'collisions', 'at', 'rhic', 'the', 'results', 'are', 'compared', 'with', 'those', 'from', 'the', 'coalescence', 'model', 'the', 'deviation', 'of', 'deuteron', 'elliptic', 'flow', 'from', 'the', 'constituent', 'nucleon', 'number', 'scaling', 'expected', 'from', 'the', 'coalescence', 'model', 'and', 'the', 'comparison', 'with', 'the', 'experimental', 'data', 'are', 'discussed', 'in', 'connection', 'to', 'the', 'allowed', 'nucleon', 'phase', 'space', 'in', 'these', 'reactions']] | [-0.05119296143327475, 0.2116908289330161, -0.12616059068165233, 0.10140690685290357, 0.001608812675365935, -0.08566903583414387, 0.008368707849117725, 0.3330215584770169, -0.24170218808981386, -0.2602292254931577, -0.029690994743166655, -0.4239146895909115, 0.022181406758887613, 0.17004863484813224, 0.0830125041893157, 0.14287216938100755, 0.10608544761476957, 0.06443171331193298, -0.054734156952927944, -0.15437067974277813, 0.3682728384029242, 0.05008835114700639, 0.20685508320836918, 0.1516457011356302, 0.017131510536115536, 0.04832098773065651, -0.012791841925481212, -0.04313074383896057, -0.14107362253454755, 0.129939255282174, 0.23401040021638872, 0.0010400311110298271, 0.06206950204163466, -0.4250042395180334, -0.1442391209597902, 0.11344616837880533, 0.1266435001237804, 0.12210948300375805, -0.037996683448158285, -0.2615162302314749, 0.06401255040596564, -0.21980272268916926, -0.09899353531553694, -0.08008353734318086, -0.002285683760419488, 0.09937064929450255, -0.30910696765488904, 0.0822880097389118, -0.028068493835630565, 0.06581404899074898, -0.08216389754291056, -0.20830273825634757, -0.10139878253128541, 0.05445522535086164, 0.11406521382868169, 0.10237079724396134, 0.1445129071564778, -0.1334492235467263, -0.1014930332261745, 0.41404285428681126, -0.013449504904438863, -0.17035498899286208, 0.15101091039579603, -0.19765083766137453, -0.08518526973405285, 0.15495366127351703, 0.2698200566026018, 0.08301293773009726, -0.16362060388833607, 0.001185984134360257, -0.00624541729769629, 0.15054572283236706, 0.08645150053274372, 0.0056835114146056385, 0.12005345472742034, 0.2127469059816339, -0.07051190112353019, 0.07455816824364339, -0.1222030503812003, -0.15187438326361385, -0.3522345637092772, -0.0643180271954802, -0.10333196547530267, 0.04865666890881308, -0.0911723875036367, -0.03270746016389002, 0.34662946269584255, 0.07023828085410692, 0.29192114095001115, 0.009405129685309594, 0.2854884613264838, 0.06946241162190943, 0.05479000674550543, 0.111034462243602, 0.27526278478984273, 0.20241582720621448, 0.18513150332475323, -0.2880690295638962, 0.03132034746079665, 0.07756378405231415] |
707.3333 | Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to
Massless Scalar Fields | The purpose of this paper is to analyze in detail the Hamiltonian formulation
for the compact Gowdy models coupled to massless scalar fields as a necessary
first step towards their quantization. We will pay special attention to the
coupling of matter and those features that arise for the three-handle and
three-sphere topologies that are not present in the well studied three torus
case -in particular the polar constraints that come from the regularity
conditions on the metric. As a byproduct of our analysis we will get an
alternative understanding, within the Hamiltonian framework, of the appearance
of initial and final singularities for these models.
| gr-qc | the purpose of this paper is to analyze in detail the hamiltonian formulation for the compact gowdy models coupled to massless scalar fields as a necessary first step towards their quantization we will pay special attention to the coupling of matter and those features that arise for the threehandle and threesphere topologies that are not present in the well studied three torus case in particular the polar constraints that come from the regularity conditions on the metric as a byproduct of our analysis we will get an alternative understanding within the hamiltonian framework of the appearance of initial and final singularities for these models | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'analyze', 'in', 'detail', 'the', 'hamiltonian', 'formulation', 'for', 'the', 'compact', 'gowdy', 'models', 'coupled', 'to', 'massless', 'scalar', 'fields', 'as', 'a', 'necessary', 'first', 'step', 'towards', 'their', 'quantization', 'we', 'will', 'pay', 'special', 'attention', 'to', 'the', 'coupling', 'of', 'matter', 'and', 'those', 'features', 'that', 'arise', 'for', 'the', 'threehandle', 'and', 'threesphere', 'topologies', 'that', 'are', 'not', 'present', 'in', 'the', 'well', 'studied', 'three', 'torus', 'case', 'in', 'particular', 'the', 'polar', 'constraints', 'that', 'come', 'from', 'the', 'regularity', 'conditions', 'on', 'the', 'metric', 'as', 'a', 'byproduct', 'of', 'our', 'analysis', 'we', 'will', 'get', 'an', 'alternative', 'understanding', 'within', 'the', 'hamiltonian', 'framework', 'of', 'the', 'appearance', 'of', 'initial', 'and', 'final', 'singularities', 'for', 'these', 'models']] | [-0.1271311091213912, 0.08537689027123863, -0.09125069408874764, 0.09823177798280439, -0.08237908317400053, -0.10612986033592482, -0.021870380406521117, 0.3615246155724219, -0.2176427313859023, -0.2784749061881917, 0.12020177491917954, -0.23601655095354518, -0.17907971298114117, 0.16794821663388929, -0.053651517312988575, 0.027860621324948317, 0.06299918621452977, 0.06564493412694451, -0.09470451665020467, -0.23868503058510063, 0.38593247051585866, 0.06360268472576315, 0.23909853699897388, 0.055840202186763, 0.06532755192568146, -0.0052578374065314105, -0.014891387655137523, 0.012874490305672861, -0.1499986960857093, 0.09928701246537051, 0.2162286505785921, 0.09991029643544642, 0.22027892175410846, -0.4423476897577927, -0.22395544187211006, 0.09592564824462227, 0.14386573232692276, 0.1492895379309877, -0.05117954277248095, -0.2636420476291039, 0.0652124349082124, -0.15443421619067205, -0.15698871949633347, -0.10079761398097192, -0.015442064931634272, -0.011965787978571596, -0.24250932568141703, 0.017170386533569365, 0.10275650841581807, -0.013064542211122016, -0.09561144273040943, -0.08884994426145426, -0.0373419419572987, 0.13668222002938246, 0.08330734369562016, 0.025099339998933008, 0.07327445056538089, -0.16624618216092218, -0.0900653297391277, 0.416962074495635, -0.07566947486812195, -0.24945292795456728, 0.1898833302491643, -0.11592863884627891, -0.19643848727330637, 0.05974223488123491, 0.20948048972172065, 0.15905825545315097, -0.14269304408429606, 0.09379948207541161, -0.03252057116297842, 0.08603277149185248, 0.02888008029634151, 0.0676212840039934, 0.20070059696049655, 0.1418086691709796, 0.05912092471838865, 0.15849940400136617, -0.06053274447432927, -0.1343881020828792, -0.3748025526337832, -0.1523955113715628, -0.12739798729986096, 0.06875516391414087, -0.06667320182034407, -0.14971609523935805, 0.42583413431149664, 0.1516485461802448, 0.2035863176123827, 0.05319888084800236, 0.272469174370025, 0.08126816829978444, 0.03529196404580714, 0.035527793469034064, 0.2736705220492333, 0.1309067019021525, 0.0982667990074068, -0.17817075155648285, -0.023266445415872104, 0.07685444301934642] |
707.3334 | Dark matter annihilation near a black hole: plateau vs. weak cusp | Dark matter annihilation in so-called ``spikes'' near black holes is believed
to be an important method of indirect dark matter detection. In the case of
circular particle orbits, the density profile of dark matter has a plateau at
small radii, the maximal density being limited by the annihilation
cross-section. However, in the general case of arbitrary velocity anisotropy
the situation is different. Particulary, for isotropic velocity distribution
the density profile cannot be shallower than r^{-1/2} in the very centre.
Indeed, a detailed study reveals that in many cases the term ``annihilation
plateau'' is misleading, as the density actually continues to rise towards
small radii and forms a weak cusp, rho ~ r^{-(beta+1/2)}, where beta is the
anisotropy coefficient. The annihilation flux, however, does not change much in
the latter case, if averaged over an area larger than the annihilation radius.
| astro-ph | dark matter annihilation in socalled spikes near black holes is believed to be an important method of indirect dark matter detection in the case of circular particle orbits the density profile of dark matter has a plateau at small radii the maximal density being limited by the annihilation crosssection however in the general case of arbitrary velocity anisotropy the situation is different particulary for isotropic velocity distribution the density profile cannot be shallower than r12 in the very centre indeed a detailed study reveals that in many cases the term annihilation plateau is misleading as the density actually continues to rise towards small radii and forms a weak cusp rho rbeta12 where beta is the anisotropy coefficient the annihilation flux however does not change much in the latter case if averaged over an area larger than the annihilation radius | [['dark', 'matter', 'annihilation', 'in', 'socalled', 'spikes', 'near', 'black', 'holes', 'is', 'believed', 'to', 'be', 'an', 'important', 'method', 'of', 'indirect', 'dark', 'matter', 'detection', 'in', 'the', 'case', 'of', 'circular', 'particle', 'orbits', 'the', 'density', 'profile', 'of', 'dark', 'matter', 'has', 'a', 'plateau', 'at', 'small', 'radii', 'the', 'maximal', 'density', 'being', 'limited', 'by', 'the', 'annihilation', 'crosssection', 'however', 'in', 'the', 'general', 'case', 'of', 'arbitrary', 'velocity', 'anisotropy', 'the', 'situation', 'is', 'different', 'particulary', 'for', 'isotropic', 'velocity', 'distribution', 'the', 'density', 'profile', 'can', 'not', 'be', 'shallower', 'than', 'r12', 'in', 'the', 'very', 'centre', 'indeed', 'a', 'detailed', 'study', 'reveals', 'that', 'in', 'many', 'cases', 'the', 'term', 'annihilation', 'plateau', 'is', 'misleading', 'as', 'the', 'density', 'actually', 'continues', 'to', 'rise', 'towards', 'small', 'radii', 'and', 'forms', 'a', 'weak', 'cusp', 'rho', 'rbeta12', 'where', 'beta', 'is', 'the', 'anisotropy', 'coefficient', 'the', 'annihilation', 'flux', 'however', 'does', 'not', 'change', 'much', 'in', 'the', 'latter', 'case', 'if', 'averaged', 'over', 'an', 'area', 'larger', 'than', 'the', 'annihilation', 'radius']] | [-0.13119854791284197, 0.1606314348464366, -0.11766387177497256, 0.13600884681808756, -0.07119877058711144, -0.0924521505785771, -0.052307715270963076, 0.32199816602757936, -0.2104298032337813, -0.3141859149989143, 0.03483308962271582, -0.2843327160603065, -0.03041872400589448, 0.2140697635075399, 0.006570555072521398, -0.020743448513379094, -0.0010464258371390028, 0.09039120952072788, -0.08298609287498131, -0.22523779131090202, 0.29360221183805213, 0.09707801633601566, 0.2639032695442438, 0.06023955250681519, -0.020463677736253832, 0.0017575227300361763, -0.003086671598754796, 0.02387548655049535, -0.1495563518292067, 0.04178155142907723, 0.20114810230284125, 0.018603012320860257, 0.2010127871427953, -0.38823758724326496, -0.23580954941793633, 0.18663806636422445, 0.2123921869101552, 0.09246594788466427, -0.050421711586737375, -0.26597280131833856, 0.04535845581361716, -0.19785752336380721, -0.17937632984140042, 0.016437900272740735, 0.11947449505087926, -0.02091458909173342, -0.23554917860427776, 0.19280008544890787, 0.044999502565738536, -0.0412210763947998, -0.06196489120773274, -0.11184308869452651, -0.03923553239098556, 0.01406475696578729, 0.08436406940462993, 0.023439411408093712, 0.2149296935192115, -0.20469170205777498, 0.013089234424795178, 0.3763279858842599, -0.10511022972436321, -0.13552748951926935, 0.15116336617766202, -0.21442544653596315, -0.11579534657179753, 0.21275008806503184, 0.12626535080251008, 0.11381506028152975, -0.09460231621260587, 0.10116778511391523, -0.04439391936058272, 0.1920494336087136, 0.1001708301641851, 0.001582242014546537, 0.32805588035408756, 0.11703993168344601, 0.14305774306605415, 0.05684364379698531, -0.14433973287265722, -0.08526154144385682, -0.31224089578169284, -0.13570233899429976, -0.17946948308042057, 0.052851381098806334, -0.09206339094539512, -0.14918592872295744, 0.30631529619555464, 0.06081616415193291, 0.24614420046245933, 0.004231145464741497, 0.29587139532430345, 0.13663864518070204, 0.07899691433170074, 0.0933401618075805, 0.3012305758658984, 0.14844664138500585, 0.10639225536364419, -0.19679955731601648, 0.07527180597279891, -0.014116550460725808] |
707.3335 | Molecular gas in QSO host galaxies at z>5 | We present observations with the IRAM Plateau de Bure Interferometer of three
QSOs at z>5 aimed at detecting molecular gas in their host galaxies as traced
by CO transitions. CO (5-4) is detected in SDSSJ033829.31+002156.3 at z=5.0267,
placing it amongst the most distant sources detected in CO. The CO emission is
unresolved with a beam size of ~1", implying that the molecular gas is
contained within a compact region, less than ~3kpc in radius. We infer an upper
limit on the dynamical mass of the CO emitting region of ~3x10^10
Msun/sin(i)^2. The comparison with the Black Hole mass inferred from near-IR
data suggests that the BH-to-bulge mass ratio in this galaxy is significantly
higher than in local galaxies. From the CO luminosity we infer a mass reservoir
of molecular gas as high as M(H2)=2.4x10^10 Msun, implying that the molecular
gas accounts for a significant fraction of the dynamical mass. When compared to
the star formation rate derived from the far-IR luminosity, we infer a very
short gas exhaustion timescale (~10^7 yrs), comparable to the dynamical
timescale. CO is not detected in the other two QSOs (SDSSJ083643.85+005453.3
and SDSSJ163033.90+401209.6) and upper limits are given for their molecular gas
content. When combined with CO observations of other type 1 AGNs, spanning a
wide redshift range (0<z<6.4), we find that the host galaxy CO luminosity
(hence molecular gas content) and the AGN optical luminosity (hence BH
accretion rate) are correlated, but the relation is not linear: L(CO) ~
[lambda*L_lambda(4400A)]^0.72. Moreover, at high redshifts (and especially at
z>5) the CO luminosity appears to saturate. We discuss the implications of
these findings in terms of black hole-galaxy co-evolution.
| astro-ph | we present observations with the iram plateau de bure interferometer of three qsos at z5 aimed at detecting molecular gas in their host galaxies as traced by co transitions co 54 is detected in sdssj033829310021563 at z50267 placing it amongst the most distant sources detected in co the co emission is unresolved with a beam size of 1 implying that the molecular gas is contained within a compact region less than 3kpc in radius we infer an upper limit on the dynamical mass of the co emitting region of 3x1010 msunsini2 the comparison with the black hole mass inferred from nearir data suggests that the bhtobulge mass ratio in this galaxy is significantly higher than in local galaxies from the co luminosity we infer a mass reservoir of molecular gas as high as mh224x1010 msun implying that the molecular gas accounts for a significant fraction of the dynamical mass when compared to the star formation rate derived from the farir luminosity we infer a very short gas exhaustion timescale 107 yrs comparable to the dynamical timescale co is not detected in the other two qsos sdssj083643850054533 and sdssj163033904012096 and upper limits are given for their molecular gas content when combined with co observations of other type 1 agns spanning a wide redshift range 0z64 we find that the host galaxy co luminosity hence molecular gas content and the agn optical luminosity hence bh accretion rate are correlated but the relation is not linear lco lambdal_lambda4400a072 moreover at high redshifts and especially at z5 the co luminosity appears to saturate we discuss the implications of these findings in terms of black holegalaxy coevolution | [['we', 'present', 'observations', 'with', 'the', 'iram', 'plateau', 'de', 'bure', 'interferometer', 'of', 'three', 'qsos', 'at', 'z5', 'aimed', 'at', 'detecting', 'molecular', 'gas', 'in', 'their', 'host', 'galaxies', 'as', 'traced', 'by', 'co', 'transitions', 'co', '54', 'is', 'detected', 'in', 'sdssj033829310021563', 'at', 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707.3336 | Statistical mechanical analysis of the linear vector channel in digital
communication | A statistical mechanical framework to analyze linear vector channel models in
digital wireless communication is proposed for a large system. The framework is
a generalization of that proposed for code-division multiple-access systems in
Europhys. Lett. 76 (2006) 1193 and enables the analysis of the system in which
the elements of the channel transfer matrix are statistically correlated with
each other. The significance of the proposed scheme is demonstrated by
assessing the performance of an existing model of multi-input multi-output
communication systems.
| cs.IT cond-mat.dis-nn cond-mat.stat-mech math.IT | a statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system the framework is a generalization of that proposed for codedivision multipleaccess systems in europhys lett 76 2006 1193 and enables the analysis of the system in which the elements of the channel transfer matrix are statistically correlated with each other the significance of the proposed scheme is demonstrated by assessing the performance of an existing model of multiinput multioutput communication systems | [['a', 'statistical', 'mechanical', 'framework', 'to', 'analyze', 'linear', 'vector', 'channel', 'models', 'in', 'digital', 'wireless', 'communication', 'is', 'proposed', 'for', 'a', 'large', 'system', 'the', 'framework', 'is', 'a', 'generalization', 'of', 'that', 'proposed', 'for', 'codedivision', 'multipleaccess', 'systems', 'in', 'europhys', 'lett', '76', '2006', '1193', 'and', 'enables', 'the', 'analysis', 'of', 'the', 'system', 'in', 'which', 'the', 'elements', 'of', 'the', 'channel', 'transfer', 'matrix', 'are', 'statistically', 'correlated', 'with', 'each', 'other', 'the', 'significance', 'of', 'the', 'proposed', 'scheme', 'is', 'demonstrated', 'by', 'assessing', 'the', 'performance', 'of', 'an', 'existing', 'model', 'of', 'multiinput', 'multioutput', 'communication', 'systems']] | [-0.19414819392697585, -0.0066265610697388904, -0.02634954776752878, -0.043074815294038456, 0.008355133867834085, -0.2013220022558982, 0.04337462705537033, 0.3315219530766761, -0.22521489282155893, -0.2851377336860255, 0.05730301141307724, -0.254861652109496, -0.2125765440157718, 0.21289845585627595, -0.11507236390708038, 0.12465857377528776, 0.06523467997020041, 0.012026902052493375, -0.02488835807602255, -0.23811704649325507, 0.25907418801000826, 0.10757090742297379, 0.37089151941975695, -0.00693362544256228, 0.10438703448385184, 0.032714828969565804, -0.03157093723155098, -0.06375766424807133, -0.04777018037719155, 0.11855327415015594, 0.28264835272416405, 0.1735603507079276, 0.28853098257088367, -0.3268839255159284, -0.30044893085680624, 0.10140204654983533, 0.11973517403627436, 0.0857082562978138, -0.018919655735558472, -0.33443260268756636, 0.13250505711515376, -0.2721241863076518, -0.0319188315835264, -0.040059645272170506, 0.0013719347340089302, 0.022776091850742145, -0.35480868841670915, 0.08667874927230088, 0.06182872658066543, 0.054889192460658154, -0.04988573622935808, -0.1019063480514573, 0.029946622059301094, 0.09501859502016026, -0.05433802812986858, -0.00294962098799002, 0.07612523134153934, -0.09892785003592755, -0.158531591429858, 0.3992262744793185, -0.04551143820805728, -0.22434094071066307, 0.20161566749807264, -0.06817210074169217, -0.09368676755772788, 0.11636494265662299, 0.2812090229737446, 0.07427283785777328, -0.2469524590436507, 0.06820114313288489, -0.04977091087925213, 0.19581177924978144, -0.023091306237296924, 0.07627356998668408, 0.14931435751107833, 0.22769014353369488, 0.023540549233187862, 0.1200024425576694, -0.13254582984257995, -0.14640932249618166, -0.22639774809373014, -0.17904293829184256, -0.19920893925828514, -0.03376976874179816, -0.05498213829730643, -0.09667776872254448, 0.38990210112697915, 0.16658378767861445, 0.14199854608303236, 0.06834327478542418, 0.3312031101941327, 0.1029511207461725, 0.04593154762722092, 0.11786767533681367, 0.24636725466238496, 0.19011434517444376, 0.11930882030477126, -0.21787475804758064, 0.02346241928315089, -0.007215919145555408] |
707.3337 | On The Capacity of Surfaces in Manifolds with Nonnegative Scalar
Curvature | Given a surface in an asymptotically flat 3-manifold with nonnegative scalar
curvature, we derive an upper bound for the capacity of the surface in terms of
the area of the surface and the Willmore functional of the surface. The
capacity of a surface is defined to be the energy of the harmonic function
which equals 0 on the surface and goes to 1 at infinity. Even in the special
case of Euclidean space, this is a new estimate. More generally, equality holds
precisely for a spherically symmetric sphere in a spatial Schwarzschild
3-manifold. As applications, we obtain inequalities relating the capacity of
the surface to the Hawking mass of the surface and the total mass of the
asymptotically flat manifold.
| math.DG gr-qc | given a surface in an asymptotically flat 3manifold with nonnegative scalar curvature we derive an upper bound for the capacity of the surface in terms of the area of the surface and the willmore functional of the surface the capacity of a surface is defined to be the energy of the harmonic function which equals 0 on the surface and goes to 1 at infinity even in the special case of euclidean space this is a new estimate more generally equality holds precisely for a spherically symmetric sphere in a spatial schwarzschild 3manifold as applications we obtain inequalities relating the capacity of the surface to the hawking mass of the surface and the total mass of the asymptotically flat manifold | [['given', 'a', 'surface', 'in', 'an', 'asymptotically', 'flat', '3manifold', 'with', 'nonnegative', 'scalar', 'curvature', 'we', 'derive', 'an', 'upper', 'bound', 'for', 'the', 'capacity', 'of', 'the', 'surface', 'in', 'terms', 'of', 'the', 'area', 'of', 'the', 'surface', 'and', 'the', 'willmore', 'functional', 'of', 'the', 'surface', 'the', 'capacity', 'of', 'a', 'surface', 'is', 'defined', 'to', 'be', 'the', 'energy', 'of', 'the', 'harmonic', 'function', 'which', 'equals', '0', 'on', 'the', 'surface', 'and', 'goes', 'to', '1', 'at', 'infinity', 'even', 'in', 'the', 'special', 'case', 'of', 'euclidean', 'space', 'this', 'is', 'a', 'new', 'estimate', 'more', 'generally', 'equality', 'holds', 'precisely', 'for', 'a', 'spherically', 'symmetric', 'sphere', 'in', 'a', 'spatial', 'schwarzschild', '3manifold', 'as', 'applications', 'we', 'obtain', 'inequalities', 'relating', 'the', 'capacity', 'of', 'the', 'surface', 'to', 'the', 'hawking', 'mass', 'of', 'the', 'surface', 'and', 'the', 'total', 'mass', 'of', 'the', 'asymptotically', 'flat', 'manifold']] | [-0.14993843984460303, 0.10859266035477048, -0.08407005799623828, 0.08940335570077877, -0.04103991480078548, -0.12809060066550348, 0.0212558905860836, 0.28528330971021204, -0.21687417759676464, -0.2805521966637267, 0.10695230980636553, -0.288051914635192, -0.12307634149959389, 0.20604794107881996, -0.11497525768354536, 0.038915216149083186, -0.02160687353461981, 0.1266777179989731, -0.11966931198451979, -0.24707747960152726, 0.3955268919467926, 0.04923214555407564, 0.23716794991632922, 0.1293774662190117, 0.09403361658575402, -0.0027578648897664, 0.04251080414590736, 0.029773382302907218, -0.2098031856585294, 0.143175600663623, 0.19752929580087464, 0.07402042681642343, 0.1983635913580656, -0.3858514407183975, -0.23532064472480366, 0.1382725186801205, 0.0949370396633943, 0.05335199917608406, -0.02464044304372995, -0.23141093358281067, 0.08087742372299545, -0.10871308844846984, -0.19454910431522876, 0.02621129675535485, 0.03683837396868815, -0.020697392988950014, -0.22195829598543546, 0.07774493092050155, 0.08292569318825069, 0.02135135590287973, -0.1286904832581058, -0.09552633302131047, -0.09187383604779219, 0.14074409673533714, 0.07856291356729343, 0.07769728489608194, 0.10424801828727746, -0.11045852360742477, -0.010357264829993558, 0.3362634264320756, -0.12203028082537154, -0.28316960219914716, 0.13236900047049857, -0.18727484125023086, -0.06692032881546765, 0.14875242033837519, 0.18229532304685564, 0.17871376627590507, -0.10982671779735635, 0.18059436083082497, -0.04887397523658971, 0.12229618298491308, 0.10548707157528649, 0.013603064860217274, 0.21194839488404493, 0.12601627947296948, 0.17171048123467092, 0.17348985810822343, -0.11029549096128903, -0.04388054751155626, -0.35961636453090856, -0.2749634084723463, -0.2331966800110725, 0.09177454716215531, -0.15548806006518134, -0.20992527968871097, 0.3541975829090613, -0.015010025034037729, 0.19107817231755084, 0.1339537277749817, 0.25931090040442845, 0.13175577090490453, 0.03139516740338877, 0.13178931472745414, 0.21527563286945223, 0.18649330816891355, 0.03957615611531461, -0.18574293348938226, -0.044115145093140504, 0.07510523630383735] |
707.3338 | Phase coherence, inelastic scattering, and interaction corrections in
pumping through quantum dots | Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is
elegantly described by Brouwer's formula. Interactions within the dot, while
suppressing phase coherence, make Brouwer's formalism inapplicable. In this
paper, we discuss the nature of the physical processes forcing a description of
pumping beyond Brouwer's formula, and develop, using a controlled adiabatic
expansion, a useful formalism to study the effect of interactions within a
generic perturbative scheme. The pumped current consists of a first
contribution, analogous to Brouwer's formula and accounting for the remanent
coherence, and of interaction corrections describing inelastic scattering. We
apply the formalism to study the effect of interaction with a bosonic bath on a
resonant level pump and discuss the robustness of the quantization of the
pumped charge in turnstile cycles.
| cond-mat.mes-hall | adiabatic quantum pumping in noninteracting phase coherent quantum dots is elegantly described by brouwers formula interactions within the dot while suppressing phase coherence make brouwers formalism inapplicable in this paper we discuss the nature of the physical processes forcing a description of pumping beyond brouwers formula and develop using a controlled adiabatic expansion a useful formalism to study the effect of interactions within a generic perturbative scheme the pumped current consists of a first contribution analogous to brouwers formula and accounting for the remanent coherence and of interaction corrections describing inelastic scattering we apply the formalism to study the effect of interaction with a bosonic bath on a resonant level pump and discuss the robustness of the quantization of the pumped charge in turnstile cycles | [['adiabatic', 'quantum', 'pumping', 'in', 'noninteracting', 'phase', 'coherent', 'quantum', 'dots', 'is', 'elegantly', 'described', 'by', 'brouwers', 'formula', 'interactions', 'within', 'the', 'dot', 'while', 'suppressing', 'phase', 'coherence', 'make', 'brouwers', 'formalism', 'inapplicable', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'nature', 'of', 'the', 'physical', 'processes', 'forcing', 'a', 'description', 'of', 'pumping', 'beyond', 'brouwers', 'formula', 'and', 'develop', 'using', 'a', 'controlled', 'adiabatic', 'expansion', 'a', 'useful', 'formalism', 'to', 'study', 'the', 'effect', 'of', 'interactions', 'within', 'a', 'generic', 'perturbative', 'scheme', 'the', 'pumped', 'current', 'consists', 'of', 'a', 'first', 'contribution', 'analogous', 'to', 'brouwers', 'formula', 'and', 'accounting', 'for', 'the', 'remanent', 'coherence', 'and', 'of', 'interaction', 'corrections', 'describing', 'inelastic', 'scattering', 'we', 'apply', 'the', 'formalism', 'to', 'study', 'the', 'effect', 'of', 'interaction', 'with', 'a', 'bosonic', 'bath', 'on', 'a', 'resonant', 'level', 'pump', 'and', 'discuss', 'the', 'robustness', 'of', 'the', 'quantization', 'of', 'the', 'pumped', 'charge', 'in', 'turnstile', 'cycles']] | [-0.18144512684643269, 0.17493733497709035, -0.11546240596938878, 0.08556740406900644, 0.013927239060401917, -0.14055478060618043, 0.10986786287475843, 0.2973084504697472, -0.25751705772802236, -0.24608223950490354, 0.006992613305337727, -0.25148519460111857, -0.11082624915242195, 0.16728033390641212, -0.00870428654551506, 0.012563997822813689, -0.0016674571912735701, -0.02585642845928669, -0.0474941653162241, -0.13863391957525165, 0.3084093299368396, 0.02627588359825313, 0.27926347841322424, 0.09759311038441956, 0.08318172755092382, 0.07973061208985746, 0.014106506530195474, -0.016952261671423913, -0.13022181164473295, 0.08525042534898966, 0.23053331553097814, -0.002888233419507742, 0.22945816603675484, -0.466289739087224, -0.19064297178201378, 0.03429011282324791, 0.14165448856842705, 0.19384923937171697, -0.0316083632754162, -0.27823786284402013, -0.00804104558378458, -0.19733739586174487, -0.15969376851990819, -0.10720371679589152, 0.021606886696070433, -0.031355772052425894, -0.23906372109614313, 0.08324470546096563, 0.12794335066108034, 0.031249019167153166, -0.03109168647043407, -0.0009909909293055535, 0.020851060768589377, 0.07597440800443292, -0.018202547072898596, 0.01310291248676367, 0.18911798990145326, -0.14310022882930934, -0.1362836881354451, 0.3770772317247465, -0.11681783776916564, -0.15632689338363706, 0.10138771910220384, -0.15653674675151705, -0.07732112511619925, 0.11200174843147397, 0.11641191398352385, 0.12281557562947273, -0.17172027862630784, 0.1149419889767305, 0.03869746636599302, 0.13204204308986664, 0.09092583057656885, 0.09008690157998353, 0.21494277433492243, 0.1860100771188736, -0.020476220436394216, 0.18499967528693378, -0.05658683596644551, -0.1666028847321868, -0.36114557972550393, -0.14516360870315112, -0.179955033890903, 0.10807447233609856, -0.04906443022890016, -0.14868517477437854, 0.41143143131126997, 0.21629729618877172, 0.14411152715981007, 0.0171096992790699, 0.3528070285320282, 0.18924560531927273, 0.03578211188688874, 0.011700790278613567, 0.26536026297695936, 0.23669794188626112, 0.061919110337272286, -0.3097804897241294, 8.619097620248795e-05, 0.08220278800278902] |
707.3339 | Non-real zeros of linear differential polynomials | Lower bounds are given for the number of non-real zeros of a second order
linear differential polynomial with constant coefficients in a real entire
function with finitely many non-real zeros.
| math.CV | lower bounds are given for the number of nonreal zeros of a second order linear differential polynomial with constant coefficients in a real entire function with finitely many nonreal zeros | [['lower', 'bounds', 'are', 'given', 'for', 'the', 'number', 'of', 'nonreal', 'zeros', 'of', 'a', 'second', 'order', 'linear', 'differential', 'polynomial', 'with', 'constant', 'coefficients', 'in', 'a', 'real', 'entire', 'function', 'with', 'finitely', 'many', 'nonreal', 'zeros']] | [-0.23763418352852264, 0.07843541440864404, -0.016702740848995746, 0.03155521669735511, -0.16245185397565365, -0.12569850146149594, -0.02601859870677193, 0.24411562051003177, -0.26590933625896773, -0.26830389311847586, 0.11189319101395086, -0.33364361214141053, -0.19219023995101453, 0.2887369399269422, 0.01942858180652062, 0.19408561435217658, 0.002645562527080377, 0.18483834254244963, -0.1034766280092299, -0.4075139463568727, 0.32949763753761846, -0.08460971011469762, 0.11191730974242091, 0.07287035947665572, 0.10235512405633926, -0.021517009288072587, -0.028307025010387104, -0.09255525556703409, -0.11091431596626838, 0.07652167733758689, 0.3417263050408413, 0.0416704863930742, 0.31549050929024813, -0.38105400477846463, -0.09590427738924821, 0.3031041107761363, 0.16024600852591295, -0.037596431312461695, -0.03350528453787168, -0.1852896632316212, 0.14521743428582948, -0.11321770511567593, -0.1939693859467904, -0.034714315676440795, 0.07093788453688224, 0.13546745292842388, -0.33308696895837786, 0.08562116784354051, 0.02515284555653731, 0.15469591642419497, 0.004785531635085742, -0.18006138329704602, -0.01862200895945231, 0.07787068984471261, 0.03280164624253909, -0.058758107991889116, 0.03453411175869405, -0.12682318730900685, -0.07449225056916475, 0.2930831718569001, -0.136886960225335, -0.3234481263284882, 0.08310905092706283, -0.2840210681781173, -0.14981340647209435, 0.23386705790956816, 0.13363140753159922, 0.13655485085522134, -0.02879828798274199, 0.2045543475697438, -0.15090843321134648, 0.1660810187458992, 0.15661586909554898, -0.00915580967751642, 0.14046313383926948, -0.018858340196311475, 0.14136199772474356, 0.12094792206771672, 0.07627181780214111, -0.12833708394318818, -0.37006706520915034, -0.14820189035187165, -0.26290053079525627, 0.017604778210322063, -0.2021615403549125, -0.2719237751909532, 0.4597558276106914, 0.0007618503645062446, 0.2884971395134926, 0.16780354004974166, 0.2862361398215095, 0.24945676214993, 0.016808221683216593, 0.05311217304940025, 0.056822030882661544, 0.15226494624124218, 0.03147367940594752, -0.10188317821302917, 0.09506196994334459, 0.11576009706283609] |
707.334 | On the irrelevant disorder regime of pinning models | Recent results have lead to substantial progress in understanding the role of
disorder in the (de)localization transition of polymer pinning models. Notably,
there is an understanding of the crucial issue of disorder relevance and
irrelevance that is now rigorous. In this work, we exploit interpolation and
replica coupling methods to obtain sharper results on the irrelevant disorder
regime of pinning models. In particular, in this regime, we compute the first
order term in the expansion of the free energy close to criticality and this
term coincides with the first order of the formal expansion obtained by field
theory methods. We also show that the quenched and quenched averaged
correlation length exponents coincide, while, in general, they are expected to
be different. Interpolation and replica coupling methods in this class of
models naturally lead to studying the behavior of the intersection of certain
renewal sequences and one of the main tools in this work is precisely renewal
theory and the study of these intersection renewals.
| math.PR | recent results have lead to substantial progress in understanding the role of disorder in the delocalization transition of polymer pinning models notably there is an understanding of the crucial issue of disorder relevance and irrelevance that is now rigorous in this work we exploit interpolation and replica coupling methods to obtain sharper results on the irrelevant disorder regime of pinning models in particular in this regime we compute the first order term in the expansion of the free energy close to criticality and this term coincides with the first order of the formal expansion obtained by field theory methods we also show that the quenched and quenched averaged correlation length exponents coincide while in general they are expected to be different interpolation and replica coupling methods in this class of models naturally lead to studying the behavior of the intersection of certain renewal sequences and one of the main tools in this work is precisely renewal theory and the study of these intersection renewals | [['recent', 'results', 'have', 'lead', 'to', 'substantial', 'progress', 'in', 'understanding', 'the', 'role', 'of', 'disorder', 'in', 'the', 'delocalization', 'transition', 'of', 'polymer', 'pinning', 'models', 'notably', 'there', 'is', 'an', 'understanding', 'of', 'the', 'crucial', 'issue', 'of', 'disorder', 'relevance', 'and', 'irrelevance', 'that', 'is', 'now', 'rigorous', 'in', 'this', 'work', 'we', 'exploit', 'interpolation', 'and', 'replica', 'coupling', 'methods', 'to', 'obtain', 'sharper', 'results', 'on', 'the', 'irrelevant', 'disorder', 'regime', 'of', 'pinning', 'models', 'in', 'particular', 'in', 'this', 'regime', 'we', 'compute', 'the', 'first', 'order', 'term', 'in', 'the', 'expansion', 'of', 'the', 'free', 'energy', 'close', 'to', 'criticality', 'and', 'this', 'term', 'coincides', 'with', 'the', 'first', 'order', 'of', 'the', 'formal', 'expansion', 'obtained', 'by', 'field', 'theory', 'methods', 'we', 'also', 'show', 'that', 'the', 'quenched', 'and', 'quenched', 'averaged', 'correlation', 'length', 'exponents', 'coincide', 'while', 'in', 'general', 'they', 'are', 'expected', 'to', 'be', 'different', 'interpolation', 'and', 'replica', 'coupling', 'methods', 'in', 'this', 'class', 'of', 'models', 'naturally', 'lead', 'to', 'studying', 'the', 'behavior', 'of', 'the', 'intersection', 'of', 'certain', 'renewal', 'sequences', 'and', 'one', 'of', 'the', 'main', 'tools', 'in', 'this', 'work', 'is', 'precisely', 'renewal', 'theory', 'and', 'the', 'study', 'of', 'these', 'intersection', 'renewals']] | [-0.11862317173991625, 0.1271712013255704, -0.0928534234805805, 0.08998167128784855, 0.0024965100285665293, -0.0950812066808661, 0.04686490747731224, 0.34576272636740013, -0.2594058740566053, -0.25207933195207904, 0.09707126869868328, -0.26932307513907733, -0.1902359695082939, 0.1470348832152057, -0.053920892158114325, 0.035001443832453974, 0.016642396190635313, 0.02280406871378967, -0.07033299189983731, -0.24599398831657998, 0.3450429947001905, 0.0506439545566625, 0.31007814507295445, 0.11328393314317686, 0.0173760532336196, 0.0006612005470343298, -0.028338867478163506, 0.033820068245759324, -0.17489683649422127, 0.13651494012021165, 0.2425677585445489, 0.01839518153020635, 0.2764267273487792, -0.42752172896729373, -0.21461566476855518, 0.10547160534841213, 0.14721829245128193, 0.14389014650113519, -0.02666487069814693, -0.251272518392198, 0.07431913252136238, -0.15194658699116056, -0.16024068574046307, -0.08908244131257893, -0.001464959968693509, 0.03858143863198631, -0.25618898823307884, 0.09383904834958673, 0.1198790055428484, 0.06408947456355502, -0.05672085800537521, -0.05459206517737518, 0.03067773739202516, 0.16159875995888398, 0.11925240733274599, 0.0484271023788762, 0.06995436629541672, -0.161634135745727, -0.12406163340932747, 0.36157264544560413, -0.06117673370016103, -0.15049763278831252, 0.19887433369166968, -0.1736416085254083, -0.18422439242088487, 0.12901281992473254, 0.15007543153833688, 0.1139151225561807, -0.1233156472955626, 0.0982215160865297, 0.003404611735831855, 0.12876179617000516, 0.03737514142071965, 0.04614571789911346, 0.169264777739555, 0.1623232972527082, 0.04334927633796569, 0.1301283795569694, -0.02958064073293538, -0.15928771778821899, -0.30684459302574396, -0.13269942154165176, -0.19923525379130208, 0.04152940543334386, -0.1255712353351289, -0.17660969603670443, 0.38918736841665896, 0.23104185115392661, 0.17817678361302014, 0.06680833630649964, 0.2336618527145375, 0.15545254944051365, 0.05666492659692289, 0.021272188009944085, 0.24805013253779445, 0.14323361406724605, 0.08958899857129947, -0.20875834508106203, 0.07474221168270494, 0.09077714712830351] |
707.3341 | Quantum Information from Graviton-Matter Gas | We present basics of conceptually new-type way for explaining of the origin,
evolution and current physical properties of our Universe from the
graviton-matter gas viewpoint. Quantization method for the Friedmann-Lemaitre
Universe based on the canonical Hamilton equations of motion is proposed and
quantum information theory way to physics of the Universe is showed. The
current contribution from the graviton-matter gas temperature in quintessence
approximation is discussed.
| gr-qc cond-mat.stat-mech hep-th math-ph math.MP quant-ph | we present basics of conceptually newtype way for explaining of the origin evolution and current physical properties of our universe from the gravitonmatter gas viewpoint quantization method for the friedmannlemaitre universe based on the canonical hamilton equations of motion is proposed and quantum information theory way to physics of the universe is showed the current contribution from the gravitonmatter gas temperature in quintessence approximation is discussed | [['we', 'present', 'basics', 'of', 'conceptually', 'newtype', 'way', 'for', 'explaining', 'of', 'the', 'origin', 'evolution', 'and', 'current', 'physical', 'properties', 'of', 'our', 'universe', 'from', 'the', 'gravitonmatter', 'gas', 'viewpoint', 'quantization', 'method', 'for', 'the', 'friedmannlemaitre', 'universe', 'based', 'on', 'the', 'canonical', 'hamilton', 'equations', 'of', 'motion', 'is', 'proposed', 'and', 'quantum', 'information', 'theory', 'way', 'to', 'physics', 'of', 'the', 'universe', 'is', 'showed', 'the', 'current', 'contribution', 'from', 'the', 'gravitonmatter', 'gas', 'temperature', 'in', 'quintessence', 'approximation', 'is', 'discussed']] | [-0.0720646799714869, 0.08193429584868929, -0.1610595341771841, 0.07448601993471102, -0.09641139056872237, -0.06540478469634597, -0.014051901629886053, 0.28893239721373626, -0.24257847181323802, -0.2963610071350228, 0.03482226028184717, -0.25067618544298137, -0.14414279044351794, 0.1792818628195109, -0.030020640048226625, -0.0031013338629043465, -0.0035153971420544567, 0.010328338848370495, -0.055934935455408064, -0.24646073032283422, 0.35358868212664896, 0.08533885934439515, 0.27495811209364823, 0.025064162853540795, 0.1371077609629455, -0.047724021803305455, -0.04691695702741995, 0.01889787708888903, -0.15456515035563798, 0.07910666297274557, 0.19435378739779646, 0.14558122304945506, 0.21079421109717453, -0.4250067770198891, -0.23469594259266602, 0.021638661580668253, 0.1257372395784566, 0.17120626186387558, -0.10055553871665546, -0.25539568254272593, 0.009355372456246352, -0.14491354216906158, -0.17239850261389758, -0.07036219916137104, -0.003626731675908421, -0.05855917051490961, -0.17166128229688515, 0.1379970462259018, 0.04244903611922354, -0.0068384044323906755, -0.10170124948843184, -0.10913375702997048, 0.040702807709969806, 0.05161587484039818, 0.04369812749439117, 0.01818537560404476, 0.18055883610875093, -0.14244750381278043, -0.0915214250033552, 0.43957841396331787, -0.10563657446552745, -0.12789559559049932, 0.14489911670556688, -0.173587356609377, -0.13705536490306258, 0.07823109069034796, 0.07936455379945762, 0.08350855091614931, -0.189407439309765, 0.14426615938480775, 0.017899747994361503, 0.0947085155551604, 0.0018857842995644066, 0.06160962978152163, 0.29904682976617053, 0.18849989500912753, 0.0076322780047176466, 0.0842034878830115, -0.03474426695681883, -0.17846122412293247, -0.34401205946888885, -0.15918329784251523, -0.17260239037656874, 0.09330353317217845, -0.09014652452077082, -0.1433296711536858, 0.4022576976285288, 0.1939929532112949, 0.159815632053792, 0.005295495432095997, 0.3254707915087541, 0.08046288365783932, -0.029741952993032155, 0.09241813156669113, 0.2633403286083855, 0.20317471840164877, 0.14979112919448226, -0.2587021538620871, 0.028200587730459643, 0.12673419001018346] |
707.3342 | Automated calculations for multi-leg processes | The search for signals of new physics at the forthcoming LHC experiments
involves the analysis of final states characterised by a high number of
hadronic jets or identified particles. Precise theoretical predictions for
these processes require the computation of scattering amplitudes with a large
number of external particles and beyond leading order in perturbation theory.
The complexity of a calculation grows with the number of internal loops as well
as with the number of external legs. Automatisation of at least next-to-leading
order calculations for LHC processes is therefore a timely task. I will discuss
various approaches.
| hep-ph | the search for signals of new physics at the forthcoming lhc experiments involves the analysis of final states characterised by a high number of hadronic jets or identified particles precise theoretical predictions for these processes require the computation of scattering amplitudes with a large number of external particles and beyond leading order in perturbation theory the complexity of a calculation grows with the number of internal loops as well as with the number of external legs automatisation of at least nexttoleading order calculations for lhc processes is therefore a timely task i will discuss various approaches | [['the', 'search', 'for', 'signals', 'of', 'new', 'physics', 'at', 'the', 'forthcoming', 'lhc', 'experiments', 'involves', 'the', 'analysis', 'of', 'final', 'states', 'characterised', 'by', 'a', 'high', 'number', 'of', 'hadronic', 'jets', 'or', 'identified', 'particles', 'precise', 'theoretical', 'predictions', 'for', 'these', 'processes', 'require', 'the', 'computation', 'of', 'scattering', 'amplitudes', 'with', 'a', 'large', 'number', 'of', 'external', 'particles', 'and', 'beyond', 'leading', 'order', 'in', 'perturbation', 'theory', 'the', 'complexity', 'of', 'a', 'calculation', 'grows', 'with', 'the', 'number', 'of', 'internal', 'loops', 'as', 'well', 'as', 'with', 'the', 'number', 'of', 'external', 'legs', 'automatisation', 'of', 'at', 'least', 'nexttoleading', 'order', 'calculations', 'for', 'lhc', 'processes', 'is', 'therefore', 'a', 'timely', 'task', 'i', 'will', 'discuss', 'various', 'approaches']] | [-0.13902318815720113, 0.22002656014228705, -0.04933785741256239, 0.07316206127992093, -0.045130448697212465, -0.09298720504739322, 0.041578836364351446, 0.29482956081240747, -0.19706950744390875, -0.38154545847404125, 0.07492569919728946, -0.3118989475866935, -0.050711193255362254, 0.17362833562704813, 0.059132816343056525, 0.09846090661691657, 0.08875056808271135, 0.04824829177232459, -0.035268042335549886, -0.2086522825799572, 0.2810951810339854, 0.09711511169249813, 0.18303883609284335, 0.07298056628496852, 0.05790361644661365, 0.04125683719636678, -0.08964168493791173, 0.01898621329261611, -0.07813906955319301, 0.08729034407285023, 0.25818370004920627, 0.09743093937140657, 0.24186041640299058, -0.4582967590734673, -0.16951354599829452, 0.07586705307282197, 0.15835172137061213, 0.13886654836581633, -0.0301671954766789, -0.24235152630717494, 0.08434631762308224, -0.1838348648743704, -0.17504896111495327, -0.10612821821511413, 0.011079368234883683, 0.005390357381353776, -0.2936065951362252, 0.04139470750184652, -0.01942623147503279, 0.05576583406877944, 0.015714033751767904, -0.14730617760748524, -0.01574704174587775, 0.10193347650056239, 0.0960297256163661, 0.03113891805211703, 0.14076888118870556, -0.23512349672576724, -0.2062528087020231, 0.37217803112919984, -0.034876231741994466, -0.1351938707763717, 0.23609956165698046, -0.18094356269284617, -0.16614680965237008, 0.16450420843223887, 0.21811958219768712, 0.10217978614127787, -0.11054506647390856, 0.07980303908637627, 0.04687853098342506, 0.13966430634415397, 0.0416933145194586, 0.07342068264309394, 0.207334554172121, 0.21879880735408128, 0.01677082547879157, 0.10386762459529564, -0.08191613576733896, -0.05771848306176253, -0.4094381302050654, -0.12118187713106938, -0.14453022841674587, 0.007705414285737788, -0.09213274516499344, -0.14428600254662646, 0.35826901424055296, 0.12481056211496859, 0.23841852445427017, 0.05012034605654966, 0.32451669375101727, 0.09520195094470789, 0.06620431944611482, 0.04697958529322932, 0.25639768158240867, 0.13571983034732207, 0.10301285775009698, -0.20368066412750827, 0.061563781411678065, 0.0613834169441058] |
707.3343 | The role of the $\Lambda(1405)$ in the $pp\to p K^+\Lambda(1405)$
reaction | We report a theoretical study of the $pp\to p K^+\Lambda(1405)$ reaction,
which was recently investigated at COSY-J\"{u}lich by using a 3.65 GeV/c
circulating proton beam incident on an internal hydrogen target. The reaction
is driven by single kaon exchange, single pion exchange, and single rho
exchange terms which have very different shapes due to the two pole structure
of the $\Lambda(1405)$ and the presence of background terms. The shape for the
sum of the three contributions, as well as the total cross section, are
consistent with present data within experimental and theoretical uncertainties,
using reasonable form factors for the meson-baryon vertices.
| hep-ph | we report a theoretical study of the ppto p klambda1405 reaction which was recently investigated at cosyjulich by using a 365 gevc circulating proton beam incident on an internal hydrogen target the reaction is driven by single kaon exchange single pion exchange and single rho exchange terms which have very different shapes due to the two pole structure of the lambda1405 and the presence of background terms the shape for the sum of the three contributions as well as the total cross section are consistent with present data within experimental and theoretical uncertainties using reasonable form factors for the mesonbaryon vertices | [['we', 'report', 'a', 'theoretical', 'study', 'of', 'the', 'ppto', 'p', 'klambda1405', 'reaction', 'which', 'was', 'recently', 'investigated', 'at', 'cosyjulich', 'by', 'using', 'a', '365', 'gevc', 'circulating', 'proton', 'beam', 'incident', 'on', 'an', 'internal', 'hydrogen', 'target', 'the', 'reaction', 'is', 'driven', 'by', 'single', 'kaon', 'exchange', 'single', 'pion', 'exchange', 'and', 'single', 'rho', 'exchange', 'terms', 'which', 'have', 'very', 'different', 'shapes', 'due', 'to', 'the', 'two', 'pole', 'structure', 'of', 'the', 'lambda1405', 'and', 'the', 'presence', 'of', 'background', 'terms', 'the', 'shape', 'for', 'the', 'sum', 'of', 'the', 'three', 'contributions', 'as', 'well', 'as', 'the', 'total', 'cross', 'section', 'are', 'consistent', 'with', 'present', 'data', 'within', 'experimental', 'and', 'theoretical', 'uncertainties', 'using', 'reasonable', 'form', 'factors', 'for', 'the', 'mesonbaryon', 'vertices']] | [-0.07643823160318483, 0.17592558757725316, -0.04954656538044075, 0.05094598529348611, -0.006081756116767036, -0.07008650999615375, 0.053537639026244234, 0.3500196545357161, -0.20732663306269314, -0.31034578135845686, -0.03512971190329973, -0.3463041503812269, -0.030433458105504217, 0.132747621524452, 0.0812767072382503, 0.06417601269619115, 0.06751238440144991, 0.04859643063904478, -0.016686150841046087, -0.18104839341779524, 0.34889175254150784, 0.08251577595451681, 0.24715403842712097, 0.1559230164200584, 0.09979894265444894, 0.06164926760207567, -0.02094162448936391, -0.05912887174082865, -0.11510455738960554, 0.10209601374785646, 0.21774400349724854, 0.035797438118606806, 0.13147458364255726, -0.38921725777978317, -0.1560049190005578, 0.059702984739722, 0.1428065668113788, 0.0893243265909945, -0.04193390894446079, -0.2690108709848753, 0.07347616667647174, -0.20112080385189246, -0.08876893238745409, -0.06310801829976759, 0.035116960561954146, 0.031743062906760246, -0.2874139187157864, 0.05771703285045258, -0.05021119406239342, 0.07608472618578684, -0.05701061947234344, -0.24100009057126792, -0.03544900992119888, 0.09720508645445404, 0.07014450450925765, 0.10075633836008774, 0.17739334871236345, -0.12272783955282504, -0.12662480713449198, 0.4038612864598042, -0.04754300622066649, -0.18584600314590158, 0.09970576354846505, -0.1598769809479023, -0.09773559966078489, 0.2001522573928284, 0.17359866077854935, 0.07878812474209013, -0.2183811996359203, 0.05095251994772289, -0.0246765278095361, 0.15888142705627598, 0.12774156872874662, 0.013211580168566491, 0.1736155934908455, 0.1847276523487993, -0.03432056460630997, 0.11216251421166529, -0.13381583017002016, -0.09899584816233946, -0.36027798727892413, -0.04823471761843429, -0.07893949409250613, 0.05923266842325061, -0.049560190320947425, -0.09232567987948803, 0.3591993525140172, 0.002680521854891045, 0.2745911749540874, -0.029763041596656832, 0.32982638081775445, 0.10232815359336425, 0.05532576690547832, 0.03514765476402227, 0.2752699154258549, 0.18506264557951305, 0.0973124185641582, -0.2549980161665468, 0.09393762955718701, -0.019661321111097193] |
707.3344 | CP Violation in the General Two-Higgs-Doublet Model: a Geometric View | We discuss the CP properties of the potential in the general
Two-Higgs-Doublet Model (THDM). This is done in a concise way using real gauge
invariant functions built from the scalar products of the doublet fields. The
space of these invariant functions, parametrising the gauge orbits of the Higgs
fields, is isomorphic to the forward light cone and its interior. CP
transformations are shown to correspond to reflections in the space of the
gauge invariant functions. We consider CP transformations where no mixing of
the Higgs doublets is taken into account as well as the general case where the
Higgs basis is not fixed. We present basis independent conditions for explicit
CP violation which may be checked easily for any THDM potential. Conditions for
spontaneous CP violation, that is CP violation through the vacuum expectation
values of the Higgs fields, are also derived in a basis independent way.
| hep-ph | we discuss the cp properties of the potential in the general twohiggsdoublet model thdm this is done in a concise way using real gauge invariant functions built from the scalar products of the doublet fields the space of these invariant functions parametrising the gauge orbits of the higgs fields is isomorphic to the forward light cone and its interior cp transformations are shown to correspond to reflections in the space of the gauge invariant functions we consider cp transformations where no mixing of the higgs doublets is taken into account as well as the general case where the higgs basis is not fixed we present basis independent conditions for explicit cp violation which may be checked easily for any thdm potential conditions for spontaneous cp violation that is cp violation through the vacuum expectation values of the higgs fields are also derived in a basis independent way | [['we', 'discuss', 'the', 'cp', 'properties', 'of', 'the', 'potential', 'in', 'the', 'general', 'twohiggsdoublet', 'model', 'thdm', 'this', 'is', 'done', 'in', 'a', 'concise', 'way', 'using', 'real', 'gauge', 'invariant', 'functions', 'built', 'from', 'the', 'scalar', 'products', 'of', 'the', 'doublet', 'fields', 'the', 'space', 'of', 'these', 'invariant', 'functions', 'parametrising', 'the', 'gauge', 'orbits', 'of', 'the', 'higgs', 'fields', 'is', 'isomorphic', 'to', 'the', 'forward', 'light', 'cone', 'and', 'its', 'interior', 'cp', 'transformations', 'are', 'shown', 'to', 'correspond', 'to', 'reflections', 'in', 'the', 'space', 'of', 'the', 'gauge', 'invariant', 'functions', 'we', 'consider', 'cp', 'transformations', 'where', 'no', 'mixing', 'of', 'the', 'higgs', 'doublets', 'is', 'taken', 'into', 'account', 'as', 'well', 'as', 'the', 'general', 'case', 'where', 'the', 'higgs', 'basis', 'is', 'not', 'fixed', 'we', 'present', 'basis', 'independent', 'conditions', 'for', 'explicit', 'cp', 'violation', 'which', 'may', 'be', 'checked', 'easily', 'for', 'any', 'thdm', 'potential', 'conditions', 'for', 'spontaneous', 'cp', 'violation', 'that', 'is', 'cp', 'violation', 'through', 'the', 'vacuum', 'expectation', 'values', 'of', 'the', 'higgs', 'fields', 'are', 'also', 'derived', 'in', 'a', 'basis', 'independent', 'way']] | [-0.144549442717305, 0.19085669431987465, -0.06909062630072439, 0.12914101994433283, -0.11741356377261786, -0.1579590801143271, 0.031418442160689404, 0.3369929097009962, -0.24209619826101855, -0.22402982232572677, 0.08692740024143487, -0.19642827842625327, -0.10150170205857884, 0.13391370613755163, 0.01349735572984835, 0.05584910410809961, 0.006517797602391263, 0.01906694011322419, -0.1156668277999044, -0.2536283340320929, 0.3433691653799975, -0.03808056625068745, 0.23482959673955378, 0.041594019051970674, 0.07813849158547058, 0.009081254849451131, -0.014336413447269979, -0.02596571035469331, -0.09193661057598751, 0.0692936989263359, 0.1773500269370749, 0.13465461797359302, 0.11209053137944694, -0.35787043056520473, -0.15775802174937867, 0.20012396625971712, 0.12475777502792577, 0.11302787254859066, -0.06511854379735633, -0.34526399094896504, 0.05209607083736887, -0.1348807488625147, -0.1297545483974157, -0.10456672447043008, -0.021519290771157967, -0.08722776319945649, -0.36268042071190265, 0.04332507806208435, -0.033580165961440527, 0.07411183008835429, -0.00611146217050525, -0.14407861519598586, -0.07208621027549969, 0.06106018660856145, 0.15433019118345515, 0.012302155121384809, 0.12713389283800053, -0.13603697710379095, -0.1292178685765802, 0.480794488411194, -0.10394390670861416, -0.2640649939944245, 0.12297837263556058, -0.17508425233809619, -0.15999137764783944, 0.10372993176752308, 0.15896220024371024, 0.09987325562151517, -0.1851904464277382, 0.2116565475344094, -0.0867533516138792, 0.09014619807839444, 0.04987786190749026, 0.06712832933190424, 0.2341549540584793, 0.07706502542457208, 0.0798711869073715, 0.11249096600614412, -0.0018880989047743025, -0.09228775819421423, -0.4642113076814381, -0.18747568165338566, -0.09712360142872725, 0.035259951572951566, -0.07672322427742674, -0.12213440535991567, 0.42009843275074527, 0.0952558348051963, 0.19530605712943538, 0.009462509620269495, 0.25366155974262833, 0.14000502136396561, 0.10847405689850854, 0.01862905655993896, 0.2867469738624027, 0.16619134802041816, 0.0818754533831613, -0.19974106094217067, 0.00768672551034766, 0.08174459539911375] |
707.3345 | On the geometry of cohomogeneity one manifolds with positive curvature | This is a survey on cohomogeneity one manifolds with positive curvature. We
discuss the known examples of this type and their geometry and the functions
that describe the metric. We also describe the classification of cohomogeneity
one manifolds that can admit a metric with positive curvature due to
Grove-Wilking-Ziller. Two series of candidates arose in this classification for
which it is not yet know if they admit positive curvature. The connection of
these candidates to the Hitchin self dual Einstein orbifolds is discussed as
well, including the curvature properties of the Hitchin metrics.
| math.DG | this is a survey on cohomogeneity one manifolds with positive curvature we discuss the known examples of this type and their geometry and the functions that describe the metric we also describe the classification of cohomogeneity one manifolds that can admit a metric with positive curvature due to grovewilkingziller two series of candidates arose in this classification for which it is not yet know if they admit positive curvature the connection of these candidates to the hitchin self dual einstein orbifolds is discussed as well including the curvature properties of the hitchin metrics | [['this', 'is', 'a', 'survey', 'on', 'cohomogeneity', 'one', 'manifolds', 'with', 'positive', 'curvature', 'we', 'discuss', 'the', 'known', 'examples', 'of', 'this', 'type', 'and', 'their', 'geometry', 'and', 'the', 'functions', 'that', 'describe', 'the', 'metric', 'we', 'also', 'describe', 'the', 'classification', 'of', 'cohomogeneity', 'one', 'manifolds', 'that', 'can', 'admit', 'a', 'metric', 'with', 'positive', 'curvature', 'due', 'to', 'grovewilkingziller', 'two', 'series', 'of', 'candidates', 'arose', 'in', 'this', 'classification', 'for', 'which', 'it', 'is', 'not', 'yet', 'know', 'if', 'they', 'admit', 'positive', 'curvature', 'the', 'connection', 'of', 'these', 'candidates', 'to', 'the', 'hitchin', 'self', 'dual', 'einstein', 'orbifolds', 'is', 'discussed', 'as', 'well', 'including', 'the', 'curvature', 'properties', 'of', 'the', 'hitchin', 'metrics']] | [-0.15470287374362512, 0.046763649589949004, -0.0679716679227093, 0.10846035033666893, -0.15160606210322483, -0.17015442543703577, -0.07674850317973482, 0.37348839369319053, -0.2295170510997591, -0.25363751867300144, 0.15689055851797332, -0.30145157744055207, -0.2314851957616275, 0.17927432813398217, -0.141249372927553, -0.028261650373916262, 0.026259896770605574, 0.13741933989703006, -0.09490173305612584, -0.3281341234346062, 0.46280888921540714, 0.009676449385512135, 0.2100457855824219, 0.10666681326034924, 0.1395104809704682, -0.07445756477081096, -0.029476768028436472, 0.037914555894372905, -0.1597862747434904, 0.10494604784964948, 0.2618665582216952, 0.11290074068465797, 0.19424131392177357, -0.33859589390213723, -0.22717305987506456, 0.19330436773927193, 0.09739176858641693, 0.06998725013134231, -0.04873403882147218, -0.2887406955756571, 0.08375741964530038, -0.09474195983848008, -0.16627606470137835, -0.128949353987675, 0.01256757540344868, 0.013230818799575385, -0.12752016386239912, 0.027836061677194462, 0.11314907213090919, -0.00437734413223908, -0.11637119473079624, -0.08529593027196825, -0.03911088502449591, 0.12245294734147256, 0.0855991163356837, 0.025537356654556632, 0.07025656252390826, -0.10063500159721235, -0.1352813575194096, 0.37472414238499885, -0.06645059563300532, -0.29654967165349616, 0.1821349159935894, -0.11782012018375099, -0.14779438566335518, 0.08417460970889332, 0.13659358909606692, 0.19219141327978476, -0.08863028411186584, 0.09443892211951922, -0.04832475145003232, 0.08201515505535771, 0.07621700748416554, 0.020240671436666795, 0.21043235669924837, 0.07837523547325122, 0.09330204992210897, 0.10987893848062452, -0.039142592017964016, -0.07172380095226286, -0.35963442929736944, -0.20351126055617857, -0.1370163138439555, 0.16744607982859042, -0.10375785485445269, -0.21715652431442362, 0.4212232838870715, 0.027830603669154578, 0.20280345807955397, 0.09301883782103212, 0.25013184298396757, 0.039719925655568346, 0.0818205913301031, 0.07886619879560464, 0.286444718989989, 0.17994698736330736, 0.04501892702714742, -0.14083406363067258, -0.0437558877190737, 0.12164459202145024] |
707.3346 | Spin-locking effect in the nanoscale ordered perovskite cobaltite
LaBaCo2O6 | A new nanoscale ordered perovskite cobaltite, which consists of 90 degree
ordered domains of the layered-112 LaBaCo2O6 has been evidenced by high
resolution- transmission electron microscopy. This new form, like the
disordered La0.5Ba0.5CoO3 and ordered LaBaCo2O6, exhibits a ferromagnetic
transition at TC around 179 K. However, it differs from the two previous forms
by its strong magnetic anisotropy, and correlatively by its high value of
coercivity (0.42 Tesla) at low temperature. We suggest that this behaviour
originates from the locking of magnetic spins in the 90 degree oriented
nano-domain. Moreover, one observes a semi-metal/semi-metal transition at TC
with a maximum magnetoresistance of 6.5 % at this temperature.
| cond-mat.mtrl-sci cond-mat.other | a new nanoscale ordered perovskite cobaltite which consists of 90 degree ordered domains of the layered112 labaco2o6 has been evidenced by high resolution transmission electron microscopy this new form like the disordered la05ba05coo3 and ordered labaco2o6 exhibits a ferromagnetic transition at tc around 179 k however it differs from the two previous forms by its strong magnetic anisotropy and correlatively by its high value of coercivity 042 tesla at low temperature we suggest that this behaviour originates from the locking of magnetic spins in the 90 degree oriented nanodomain moreover one observes a semimetalsemimetal transition at tc with a maximum magnetoresistance of 65 at this temperature | [['a', 'new', 'nanoscale', 'ordered', 'perovskite', 'cobaltite', 'which', 'consists', 'of', '90', 'degree', 'ordered', 'domains', 'of', 'the', 'layered112', 'labaco2o6', 'has', 'been', 'evidenced', 'by', 'high', 'resolution', 'transmission', 'electron', 'microscopy', 'this', 'new', 'form', 'like', 'the', 'disordered', 'la05ba05coo3', 'and', 'ordered', 'labaco2o6', 'exhibits', 'a', 'ferromagnetic', 'transition', 'at', 'tc', 'around', '179', 'k', 'however', 'it', 'differs', 'from', 'the', 'two', 'previous', 'forms', 'by', 'its', 'strong', 'magnetic', 'anisotropy', 'and', 'correlatively', 'by', 'its', 'high', 'value', 'of', 'coercivity', '042', 'tesla', 'at', 'low', 'temperature', 'we', 'suggest', 'that', 'this', 'behaviour', 'originates', 'from', 'the', 'locking', 'of', 'magnetic', 'spins', 'in', 'the', '90', 'degree', 'oriented', 'nanodomain', 'moreover', 'one', 'observes', 'a', 'semimetalsemimetal', 'transition', 'at', 'tc', 'with', 'a', 'maximum', 'magnetoresistance', 'of', '65', 'at', 'this', 'temperature']] | [-0.18028313961202422, 0.24579566779833, -0.017037407163745508, -0.05818731776469996, -0.02713721234109611, -0.13764623900015766, 0.09980200458476947, 0.36629528742140305, -0.2549396731819098, -0.3343468600561699, 0.02634998957980245, -0.3454048574472276, -0.08312887989450246, 0.16433862812566355, 0.042080498076617144, -0.03482256094643022, -0.06579140944701906, 0.028412503405259207, -0.10522565801511519, -0.1934623703832935, 0.2571581441039038, 0.029479975425391994, 0.3280678699016929, 0.0653757399906261, 0.1202562737923402, -0.02090889241438932, 0.16959772624809724, 0.06071224643920477, -0.13672942485328138, 0.04076730935888078, 0.2362766209127865, -0.059273110498907045, 0.20952890704994878, -0.3399879296328156, -0.18612067310067898, -0.02231558594037499, 0.1057544754439732, 0.06663006409228099, -0.06920660419676167, -0.24803755933848712, 0.11605465187592647, -0.09934666044724648, -0.1330894206946071, -0.059408369626348406, -0.017024359862821605, -0.01745961134236915, -0.2412679041064201, 0.1414847710581783, 0.08775268958953138, 0.19170485837205958, -0.05919017292371091, -0.14141118165571243, -0.06595516712583888, 0.012425891850188445, 0.01170865365733894, 0.11957686183562216, 0.13495657151529136, -0.09412546432800949, -0.10922329977508455, 0.30311703672990775, -0.061901037384254426, 0.025353993181712352, 0.19591564579436985, -0.2560064689426396, -0.10984726641730119, 0.2650854807400789, 0.10368659174239908, 0.1018737055598579, -0.11527935676993085, 0.077678897970215, 0.010882175778253721, 0.19726923760026693, 0.10214912672213708, 0.025665696965566333, 0.28017122509817666, 0.20457766508871617, 0.046836613419985115, 0.17460656591440335, -0.15006281289858564, -0.015992768525253408, -0.16376699102917114, -0.14568164752521484, -0.20632713485974818, 0.09825792194281419, -0.1340263412474507, -0.16522363015414718, 0.375255080595917, 0.14653980082724816, 0.2180514610820235, -0.04299148316651834, 0.23957839899006872, 0.08394663949282123, 0.086694072591714, 0.062450086733756155, 0.2562310584784987, 0.17736839951024963, 0.18234399926418868, -0.23061517325606054, 0.10915802272770983, -0.04078333890958255] |
707.3347 | 3D spectral synthesis and rotational line broadening | Spectral synthesis calculations based on three-dimensional stellar atmosphere
models are limited by the affordable angular resolution of the radiation field.
This hampers an accurate treatment of rotational line broadening. We aim to
find a treatment of rotational broadening of a spherical star when the
radiation field is only available at a modest number of limb-angles. We apply a
combination of analytical considerations of the line-broadening process and
numerical tests. We obtain a method which is closely related to classical flux
convolution and which performs noticeably better than a previously suggested
procedure. It can be applied to rigid as well as differential rotation.
| astro-ph | spectral synthesis calculations based on threedimensional stellar atmosphere models are limited by the affordable angular resolution of the radiation field this hampers an accurate treatment of rotational line broadening we aim to find a treatment of rotational broadening of a spherical star when the radiation field is only available at a modest number of limbangles we apply a combination of analytical considerations of the linebroadening process and numerical tests we obtain a method which is closely related to classical flux convolution and which performs noticeably better than a previously suggested procedure it can be applied to rigid as well as differential rotation | [['spectral', 'synthesis', 'calculations', 'based', 'on', 'threedimensional', 'stellar', 'atmosphere', 'models', 'are', 'limited', 'by', 'the', 'affordable', 'angular', 'resolution', 'of', 'the', 'radiation', 'field', 'this', 'hampers', 'an', 'accurate', 'treatment', 'of', 'rotational', 'line', 'broadening', 'we', 'aim', 'to', 'find', 'a', 'treatment', 'of', 'rotational', 'broadening', 'of', 'a', 'spherical', 'star', 'when', 'the', 'radiation', 'field', 'is', 'only', 'available', 'at', 'a', 'modest', 'number', 'of', 'limbangles', 'we', 'apply', 'a', 'combination', 'of', 'analytical', 'considerations', 'of', 'the', 'linebroadening', 'process', 'and', 'numerical', 'tests', 'we', 'obtain', 'a', 'method', 'which', 'is', 'closely', 'related', 'to', 'classical', 'flux', 'convolution', 'and', 'which', 'performs', 'noticeably', 'better', 'than', 'a', 'previously', 'suggested', 'procedure', 'it', 'can', 'be', 'applied', 'to', 'rigid', 'as', 'well', 'as', 'differential', 'rotation']] | [-0.042475869155853135, 0.0773322560911189, -0.08477278269172098, 0.09266420793071597, -0.12126121131500395, -0.10435043648807424, 0.026706558818200436, 0.42343953410440155, -0.19397150740801994, -0.3601528707716503, 0.09812778103197602, -0.19110703823331854, -0.09449851745278529, 0.2443121604063539, -0.07790967566249339, 0.047099820597530664, 0.07489549264422443, 0.0035311964105372087, -0.06874568256466548, -0.17945427032611747, 0.2982876391385193, 0.12631176112883605, 0.24789933637153394, 0.02391717866026234, 0.06709924433380365, -0.03058153488166114, -0.06566121492829949, 0.046506486192234964, -0.13385981736280542, 0.10101380503487468, 0.18608029697731968, 0.09548457134238417, 0.22503241239631971, -0.4092623989770908, -0.2496565787472052, 0.03139645659300213, 0.15841988892303688, 0.16402208422181555, -0.04137841766552612, -0.20567345178437116, 0.027196728541414337, -0.17331193803376196, -0.15521425445388892, -0.09140744428196461, -0.009455138271084369, 0.02145459816334677, -0.2957185764455854, 0.09500540288091444, 0.04646470087077838, 0.10884530510513359, -0.07250287289970951, -0.11347770690917969, -0.04196167561815738, 0.07910231637248613, 0.02824042039885333, 0.05422060886895893, 0.1524812043782803, -0.10256692196131859, -0.0683191028783227, 0.4111780389627018, -0.07352639651193979, -0.18698969948114735, 0.2024412843338813, -0.1579409000984771, -0.10740843147389811, 0.19730775912596596, 0.14264636465041705, 0.17886420310299733, -0.12459708318084889, 0.005529769181071015, -0.007655245049091259, 0.19722109396785203, 0.03054378305257547, -0.0019104824272344017, 0.2212502978981869, 0.15844976609471337, 0.03688526029080743, 0.11616846875144667, -0.1411430131630179, -0.05453765302859616, -0.2566834562043152, -0.12277005499532552, -0.17493976920377463, 0.07647563528389402, -0.053454981351185975, -0.17098959024977123, 0.36482622648709184, 0.14311154325674796, 0.18223551925419285, 0.04332529134024857, 0.36223680164554334, 0.14858476621891822, 0.07459637233849135, 0.05308539638904357, 0.24102354350287725, 0.18881385563411704, 0.07468234695549501, -0.26001478425955565, 0.03366837494241277, 0.01710278313321126] |
707.3348 | Spin gap and Luttinger liquid description of the NMR relaxation in
carbon nanotubes | Recent NMR experiments by Singer et al. [Singer et al. Phys. Rev. Lett. 95,
236403 (2005).] showed a deviation from Fermi-liquid behavior in carbon
nanotubes with an energy gap evident at low temperatures. Here, a comprehensive
theory for the magnetic field and temperature dependent NMR 13C spin-lattice
relaxation is given in the framework of the Tomonaga-Luttinger liquid. The low
temperature properties are governed by a gapped relaxation due to a spin gap (~
30K), which crosses over smoothly to the Luttinger liquid behaviour with
increasing temperature.
| cond-mat.str-el cond-mat.mes-hall | recent nmr experiments by singer et al singer et al phys rev lett 95 236403 2005 showed a deviation from fermiliquid behavior in carbon nanotubes with an energy gap evident at low temperatures here a comprehensive theory for the magnetic field and temperature dependent nmr 13c spinlattice relaxation is given in the framework of the tomonagaluttinger liquid the low temperature properties are governed by a gapped relaxation due to a spin gap 30k which crosses over smoothly to the luttinger liquid behaviour with increasing temperature | [['recent', 'nmr', 'experiments', 'by', 'singer', 'et', 'al', 'singer', 'et', 'al', 'phys', 'rev', 'lett', '95', '236403', '2005', 'showed', 'a', 'deviation', 'from', 'fermiliquid', 'behavior', 'in', 'carbon', 'nanotubes', 'with', 'an', 'energy', 'gap', 'evident', 'at', 'low', 'temperatures', 'here', 'a', 'comprehensive', 'theory', 'for', 'the', 'magnetic', 'field', 'and', 'temperature', 'dependent', 'nmr', '13c', 'spinlattice', 'relaxation', 'is', 'given', 'in', 'the', 'framework', 'of', 'the', 'tomonagaluttinger', 'liquid', 'the', 'low', 'temperature', 'properties', 'are', 'governed', 'by', 'a', 'gapped', 'relaxation', 'due', 'to', 'a', 'spin', 'gap', '30k', 'which', 'crosses', 'over', 'smoothly', 'to', 'the', 'luttinger', 'liquid', 'behaviour', 'with', 'increasing', 'temperature']] | [-0.08515451834093601, 0.2395323216126902, -0.058197903424678815, -0.09435715399255666, -0.041744836123793254, -0.14620434884203687, 0.10361034325961511, 0.3304460089365464, -0.2110217445574346, -0.35908226012474015, -0.05668851715191046, -0.331292542185457, -0.11898883766428169, 0.1905326626313451, -0.04995769375403013, 0.003921122176550506, -0.0689999237767465, -0.06565215215544283, -0.15284895727277867, -0.23244377878117597, 0.17667682371878377, 0.12431729863220382, 0.3488995602210274, 0.14146908618221504, 0.034626098865244, 0.023408344395214782, 0.11371371594058084, 0.047286692363697855, -0.2224076778816414, -0.04138899522478737, 0.3129154415135937, -0.08715035238613685, 0.18083664598608656, -0.39580535846540615, -0.2636379268175612, 0.0014623217395551148, 0.05086988166883765, 0.13997350287640334, -0.022319889111843492, -0.3220657401585153, -0.017233070914655747, -0.21073351793789438, -0.11386550216203821, -0.11677131403814114, 0.09306156536192811, -0.03445239429198582, -0.2487777640843498, 0.22208935186167114, 0.0706809751877916, 0.1345094196952968, -0.06685326924724948, -0.12799392553279176, -0.004721857590733894, -0.04986196314608345, 0.035274683617033245, 0.10221293196082115, 0.19660938522844976, -0.03750212327577174, -0.11235708962859851, 0.2592250727604897, -0.10257950840917017, -0.007014374381729535, 0.23270128370356924, -0.15974469540552014, -0.09628779879061594, 0.1977304177125916, 0.06902432828653782, 0.12277046923658677, -0.15142598161695614, 0.1459031545313164, -0.0582920630418119, 0.18608318204947172, 0.07006110664778611, -0.017813774499310448, 0.2590593550620334, 0.20770298270508647, -0.03597168310634082, 0.08100607435751174, -0.0860028165708562, -0.08939496444543779, -0.19799637382051774, -0.13179189767245025, -0.2462166254186914, 0.10560181412091922, 0.005511700331096238, -0.11854773816386503, 0.3947938110213727, 0.09963189863732883, 0.2353928885866134, 0.0025122226340629694, 0.1896773134576506, 0.09217158485470074, -0.008864342029916034, 0.16011775566065417, 0.23276946104929916, 0.23748477640938723, 0.151933146497911, -0.35289747739443555, 0.028959294422141586, 0.016330419451973978] |
707.3349 | A comment on the superconductivity of Sr2CuO3+delta | We have revisited data in the literature and find compelling reasons for
believing that enhanced superconductivity occurs in Sr2CuO3+delta when about
one third of the oxygen sites in the CuO2 layers are vacant, contrary to the
almost universally accepted assumption that superconducting interactions in the
high Tc cuprates occur in stoichiometric CuO2 layers.
| cond-mat.supr-con | we have revisited data in the literature and find compelling reasons for believing that enhanced superconductivity occurs in sr2cuo3delta when about one third of the oxygen sites in the cuo2 layers are vacant contrary to the almost universally accepted assumption that superconducting interactions in the high tc cuprates occur in stoichiometric cuo2 layers | [['we', 'have', 'revisited', 'data', 'in', 'the', 'literature', 'and', 'find', 'compelling', 'reasons', 'for', 'believing', 'that', 'enhanced', 'superconductivity', 'occurs', 'in', 'sr2cuo3delta', 'when', 'about', 'one', 'third', 'of', 'the', 'oxygen', 'sites', 'in', 'the', 'cuo2', 'layers', 'are', 'vacant', 'contrary', 'to', 'the', 'almost', 'universally', 'accepted', 'assumption', 'that', 'superconducting', 'interactions', 'in', 'the', 'high', 'tc', 'cuprates', 'occur', 'in', 'stoichiometric', 'cuo2', 'layers']] | [-0.1815555992249686, 0.20295144064136997, 0.06330482025357644, 0.10175653657643124, 0.004889582140514484, -0.18587138405284628, 0.17689213941160303, 0.3851941889868333, -0.22842659593488163, -0.2493812253412146, -0.012562620213989599, -0.39235961723786134, -0.10569952936986318, 0.10423471021707743, -0.005440243197461734, -0.0583392318803817, -0.02748711837025789, 0.00580508870860705, -0.10634327127347486, -0.3305099750868976, 0.31903726207271504, -0.0010158008752534022, 0.3755053458735347, 0.08988182044301468, -0.0076365283994863815, -0.05681246225811684, 0.12080538387034231, -0.011536502995743202, -0.138928330012277, 0.04939316248251439, 0.35279147603656524, -0.014452776728341213, 0.1975976898549841, -0.49792392149818343, -0.24302463826293555, 0.02085771096440462, 0.1542781255691527, 0.14186970267194107, -0.07996802703620723, -0.16652334110739714, 0.10238826951871698, -0.09774678838081084, -0.11155247363226059, -0.010106612928211689, 0.0034546299228587975, -0.044083270692051604, -0.2213913671529064, 0.13318880464738378, 0.13735182968398127, 0.12904036805356064, -0.11950929936630508, -0.12631275322144994, -0.09887953109752673, 0.0544891360897544, 0.12328776419879152, 0.058783626765944064, 0.09947212456832998, -0.10342166823549913, -0.06925476551091728, 0.3637250208367522, 0.003562266553322283, -0.0463552510079283, 0.1700318490083401, -0.23088635835581675, -0.16706655744481116, 0.1395343963880665, 0.06234591462998651, 0.03768183513126972, -0.151481758835871, 0.05268363507639151, -0.06323445642080444, 0.20530696204290366, 0.0810018808204824, 0.07429857603990687, 0.2242436376758493, 0.21500367980647403, 0.05308907423974373, 0.05652505799662322, -0.06128787904834518, -0.0686993918990573, -0.2003545215433965, -0.1733350803842768, -0.18379167792423126, -0.03042635033936956, -0.04251830300619566, -0.19124756191069117, 0.29029842746408224, 0.24567189400729078, 0.19526713971908277, -0.15444263749612638, 0.20213426327189574, 0.0328266632098418, 0.15646560865346915, 0.08833163433994812, 0.34330113190047157, 0.11782905734323251, 0.1365238122839051, -0.16000972896402416, 0.17290969950576815, 0.004487436452808862] |
707.335 | New developments on embedding inflation in gauge theory and particle
physics | In this brief review we will discuss how a well motivated particle theory
beyond the eletroweak Standard Model provides ingredients and conditions for a
successful inflation. We will mainly focus on a low energy supersymmetric
Standard Model which provides plenty of scalars. In particular, these scalars
span a multidimensional moduli space of {\it gauge invariant} operators which
carry the Standard Model charges. The inflationary predictions which matches
the current observations are robust due to the fact that inflation occurs
within our own gauge sector where the couplings are well known. We further
argue that based on our current understandings if there exists a {\it string
landscape} of multiple vacua, then it is very natural that the last phase of
inflation would be driven by one of the many supersymmetric Standard Model
modulii. Only such a graceful exit from inflation would provide hot thermal
Standard Model baryons, cold dark matter, conditions for baryogenesis and
foremost the seed density perturbations for the cosmic microwave background
radiation in just {\it one package}. Furthermore we will also discuss how some
of the ingredients of inflation can be tested already by the LHC.
| hep-ph astro-ph gr-qc hep-th | in this brief review we will discuss how a well motivated particle theory beyond the eletroweak standard model provides ingredients and conditions for a successful inflation we will mainly focus on a low energy supersymmetric standard model which provides plenty of scalars in particular these scalars span a multidimensional moduli space of it gauge invariant operators which carry the standard model charges the inflationary predictions which matches the current observations are robust due to the fact that inflation occurs within our own gauge sector where the couplings are well known we further argue that based on our current understandings if there exists a it string landscape of multiple vacua then it is very natural that the last phase of inflation would be driven by one of the many supersymmetric standard model modulii only such a graceful exit from inflation would provide hot thermal standard model baryons cold dark matter conditions for baryogenesis and foremost the seed density perturbations for the cosmic microwave background radiation in just it one package furthermore we will also discuss how some of the ingredients of inflation can be tested already by the lhc | [['in', 'this', 'brief', 'review', 'we', 'will', 'discuss', 'how', 'a', 'well', 'motivated', 'particle', 'theory', 'beyond', 'the', 'eletroweak', 'standard', 'model', 'provides', 'ingredients', 'and', 'conditions', 'for', 'a', 'successful', 'inflation', 'we', 'will', 'mainly', 'focus', 'on', 'a', 'low', 'energy', 'supersymmetric', 'standard', 'model', 'which', 'provides', 'plenty', 'of', 'scalars', 'in', 'particular', 'these', 'scalars', 'span', 'a', 'multidimensional', 'moduli', 'space', 'of', 'it', 'gauge', 'invariant', 'operators', 'which', 'carry', 'the', 'standard', 'model', 'charges', 'the', 'inflationary', 'predictions', 'which', 'matches', 'the', 'current', 'observations', 'are', 'robust', 'due', 'to', 'the', 'fact', 'that', 'inflation', 'occurs', 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707.3351 | Reflections and Thoughts on Tired Light | The position of the various tired light theories is reviewed briefly and it
is noted that one of the biggest objections to them concerns the mechanism by
which light might lose energy as it travels through space. Here some new work
relating to the constancy of the speed of light is highlighted as providing a
possible solution to this conundrum, thus making more feasible explanation of
phenomena via theories involving the notion of tired light.
| physics.gen-ph | the position of the various tired light theories is reviewed briefly and it is noted that one of the biggest objections to them concerns the mechanism by which light might lose energy as it travels through space here some new work relating to the constancy of the speed of light is highlighted as providing a possible solution to this conundrum thus making more feasible explanation of phenomena via theories involving the notion of tired light | [['the', 'position', 'of', 'the', 'various', 'tired', 'light', 'theories', 'is', 'reviewed', 'briefly', 'and', 'it', 'is', 'noted', 'that', 'one', 'of', 'the', 'biggest', 'objections', 'to', 'them', 'concerns', 'the', 'mechanism', 'by', 'which', 'light', 'might', 'lose', 'energy', 'as', 'it', 'travels', 'through', 'space', 'here', 'some', 'new', 'work', 'relating', 'to', 'the', 'constancy', 'of', 'the', 'speed', 'of', 'light', 'is', 'highlighted', 'as', 'providing', 'a', 'possible', 'solution', 'to', 'this', 'conundrum', 'thus', 'making', 'more', 'feasible', 'explanation', 'of', 'phenomena', 'via', 'theories', 'involving', 'the', 'notion', 'of', 'tired', 'light']] | [-0.106524907326481, 0.16263653241097928, -0.11545338142042359, 0.10544263079452018, -0.13721640050411224, -0.16316259569798908, 0.0858980822741675, 0.3314213749890526, -0.28905135735248527, -0.31779746726155284, 0.12267649831871191, -0.27222784634679553, -0.16943668807701517, 0.22380337511499723, -0.08728840384011467, 0.021755778150012096, 0.0014748451688016454, 0.026297930983516078, -0.02005191603442654, -0.2396028751383225, 0.3267699110880494, 0.10239571422338485, 0.23892101547991237, 0.11775761752078931, 0.11189137116695444, 0.012097478493427237, -0.05236861197898785, 0.00032365359948016703, -0.06644933338325548, 0.1438159731278817, 0.17252938295404116, 0.204328825759391, 0.28951102470358214, -0.40796168682475886, -0.25674325176825125, 0.09796772219240665, 0.15595841393185159, 0.11708567114391674, -0.06855624501069542, -0.2567758801827828, 0.035211914846052725, -0.10799277366138994, -0.25316986758882803, -0.05528048358857632, 0.0607799255164961, -0.03195913219824433, -0.13402390390634536, 0.03429321479052305, 0.042622632179409266, -0.014433859102427959, -0.029535882285175223, -0.06073629199216763, -0.009027931812840203, 0.07748443454969674, 0.16835344299984475, 0.0466525223168234, 0.10251177780951062, -0.1584493631652246, -0.10425455955167612, 0.4641897977391879, -0.009001899758974712, -0.1489770759890477, 0.18189126000429193, -0.11714934910958012, -0.076962186768651, 0.05975292606279254, 0.09076952810088794, 0.13410060100257395, -0.15968621272826566, 0.016986178543884307, -0.019515065203110377, 0.1108523965595911, 0.09336245510727167, 0.1014702657610178, 0.2648395198583603, 0.18254829354273777, 0.024578209668397903, 0.10505315598100423, -0.040242661421264835, -0.11563299210198845, -0.3296428374449412, -0.19313766074677308, -0.11916142572959264, 0.036582056575765215, -0.030196572697216956, -0.11248829598228137, 0.37726286485170324, 0.20051427382665377, 0.19979166333874065, -0.01782713025653114, 0.30876653800408044, 0.09649201573493581, 0.05630473223204414, 0.03025947126870354, 0.2989767745839587, 0.13789233098427456, 0.12291527212286989, -0.1739935960061848, 0.07437034415702025, 0.027847955903659263] |
707.3352 | Wavepacket Solutions of the Klein-Gordon Equation | We find dispersion-free wavepacket solutions to the Klein-Gordon equation,
with the only free parameter being the wavepacket velocity $ {\bf v} $. These
wavefunctions are eigenvectors of a velocity operator with commuting components
which is symmetric in a certain scalar product space. We show that this
velocity operator corresponds to a classical generator which may be obtained by
a canonical tranformation from $ {\bf x}, {\bf k} $.
| quant-ph hep-th math-ph math.MP | we find dispersionfree wavepacket solutions to the kleingordon equation with the only free parameter being the wavepacket velocity bf v these wavefunctions are eigenvectors of a velocity operator with commuting components which is symmetric in a certain scalar product space we show that this velocity operator corresponds to a classical generator which may be obtained by a canonical tranformation from bf x bf k | [['we', 'find', 'dispersionfree', 'wavepacket', 'solutions', 'to', 'the', 'kleingordon', 'equation', 'with', 'the', 'only', 'free', 'parameter', 'being', 'the', 'wavepacket', 'velocity', 'bf', 'v', 'these', 'wavefunctions', 'are', 'eigenvectors', 'of', 'a', 'velocity', 'operator', 'with', 'commuting', 'components', 'which', 'is', 'symmetric', 'in', 'a', 'certain', 'scalar', 'product', 'space', 'we', 'show', 'that', 'this', 'velocity', 'operator', 'corresponds', 'to', 'a', 'classical', 'generator', 'which', 'may', 'be', 'obtained', 'by', 'a', 'canonical', 'tranformation', 'from', 'bf', 'x', 'bf', 'k']] | [-0.1750966765685007, 0.1756961284481804, -0.08613176827930147, -0.014026422257302329, -0.1045963914366439, -0.12881696812110022, -0.035793929138890235, 0.3586665799666662, -0.2803265746915713, -0.18683350895298645, 0.031619137385860085, -0.27118338881700765, -0.11851362454763148, 0.12996917919372208, -0.01041417455417104, 0.01574804550909903, 0.08180676891061012, 0.12675366696203128, -0.14110465001067496, -0.17753969770274125, 0.3359161664266139, -0.02992205927876057, 0.1947658648059587, -0.04175789709552191, 0.14611596589384135, -0.02455692629882833, 0.04178573402805341, -0.013506039337244147, -0.14050701482176464, 0.0703586662421003, 0.21788373700110242, 0.08417313952668337, 0.23822836228646338, -0.32938165502855554, -0.20179905529948883, 0.1341157165588811, 0.13513629789667903, 0.09988909116145805, 0.025337786653835792, -0.363937450631056, 0.05525744495002982, -0.1525039818152436, -0.1660409233372775, -0.07638487387157511, 0.08485323746572249, 0.036408557891263627, -0.32284261877066456, 0.14525559010508005, 0.037217293262074236, 0.0038422414763772395, -0.06652298065455398, -0.09542546979355393, -0.10803819605644094, -0.007693595209275372, 0.016275607278657844, 0.09364413705043262, 0.09287035992383608, -0.06158127077287645, -0.04772390824109607, 0.3808204887318425, -0.07975328718021046, -0.27889471962771495, 0.09035990395932458, -0.18826064727181802, -0.033943356305826455, 0.11696529206892592, 0.12383595742721809, 0.1441720708971843, -0.11773841522517614, 0.17573005564918276, -0.10642016571182467, 0.14824465817946475, 0.07066562720137881, -0.0017516990410513245, 0.14589084243198158, -0.023268699180334806, 0.09094916357832972, 0.09132567855522211, -0.03669763897778466, -0.10922760578978341, -0.3714702617144212, -0.1793435373401735, -0.2021245825162623, 0.1506391847942723, -0.1014565290970495, -0.17684033678960986, 0.4033126245994936, 0.1021665369744369, 0.21625873618177138, 0.0065538624949113, 0.2052704498564708, 0.21148559204812045, 0.05846006980573293, 0.16723787125101808, 0.1679486924840603, 0.18726113908269326, 0.06760019321518485, -0.19400093084186665, -0.06403770953329513, 0.11596600904886145] |
707.3353 | The multiple effects of gradient coupling on network synchronization | Recent studies have shown that synchronizability of complex networks can be
significantly improved by asymmetric couplings, and increase of coupling
gradient is always in favor of network synchronization. Here we argue and
demonstrate that, for typical complex networks, there usually exists an optimal
coupling gradient under which the maximum network synchronizability is
achieved. After this optimal value, increase of coupling gradient could
deteriorate synchronization. We attribute the suppression of network
synchronization at large gradient to the phenomenon of network breaking, and
find that, in comparing with sparsely connected homogeneous networks, densely
connected heterogeneous networks have the superiority of adopting large
gradient. The findings are supported by indirect simulations of eigenvalue
analysis and direct simulations of coupled nonidentical oscillator networks.
| nlin.AO nlin.PS | recent studies have shown that synchronizability of complex networks can be significantly improved by asymmetric couplings and increase of coupling gradient is always in favor of network synchronization here we argue and demonstrate that for typical complex networks there usually exists an optimal coupling gradient under which the maximum network synchronizability is achieved after this optimal value increase of coupling gradient could deteriorate synchronization we attribute the suppression of network synchronization at large gradient to the phenomenon of network breaking and find that in comparing with sparsely connected homogeneous networks densely connected heterogeneous networks have the superiority of adopting large gradient the findings are supported by indirect simulations of eigenvalue analysis and direct simulations of coupled nonidentical oscillator networks | [['recent', 'studies', 'have', 'shown', 'that', 'synchronizability', 'of', 'complex', 'networks', 'can', 'be', 'significantly', 'improved', 'by', 'asymmetric', 'couplings', 'and', 'increase', 'of', 'coupling', 'gradient', 'is', 'always', 'in', 'favor', 'of', 'network', 'synchronization', 'here', 'we', 'argue', 'and', 'demonstrate', 'that', 'for', 'typical', 'complex', 'networks', 'there', 'usually', 'exists', 'an', 'optimal', 'coupling', 'gradient', 'under', 'which', 'the', 'maximum', 'network', 'synchronizability', 'is', 'achieved', 'after', 'this', 'optimal', 'value', 'increase', 'of', 'coupling', 'gradient', 'could', 'deteriorate', 'synchronization', 'we', 'attribute', 'the', 'suppression', 'of', 'network', 'synchronization', 'at', 'large', 'gradient', 'to', 'the', 'phenomenon', 'of', 'network', 'breaking', 'and', 'find', 'that', 'in', 'comparing', 'with', 'sparsely', 'connected', 'homogeneous', 'networks', 'densely', 'connected', 'heterogeneous', 'networks', 'have', 'the', 'superiority', 'of', 'adopting', 'large', 'gradient', 'the', 'findings', 'are', 'supported', 'by', 'indirect', 'simulations', 'of', 'eigenvalue', 'analysis', 'and', 'direct', 'simulations', 'of', 'coupled', 'nonidentical', 'oscillator', 'networks']] | [-0.20780846498370514, 0.10597381261170023, -0.007371640110685795, 0.008090931062289208, -0.04002341545116501, -0.16732021520587326, 0.03601835665739134, 0.45205368345775526, -0.26386670746347485, -0.28714236656219516, 0.09812901611831196, -0.22641954772925676, -0.24820697944642617, 0.1589311109855771, -0.03219471574847062, 0.015192528036149108, 0.13442578627101825, 0.018554076818483218, -0.023858140326425935, -0.2313477558302967, 0.3295444802013265, 0.06951995990987468, 0.3552864248191296, 0.0707322266789255, 0.07209868796420198, -0.07747127288295065, 0.02513452135652554, 0.09333674214044664, -0.05963977016091587, 0.12073013743291758, 0.23972245592216984, 0.08593462242455292, 0.29422399828977447, -0.4631868269325805, -0.287217928127957, 0.17660792196607766, 0.20274263726715624, 0.10376566973565725, -0.033021162507640776, -0.2821709567352253, 0.10858791058163057, -0.1696949083286635, -0.07231365315647435, -0.10388217733765975, -0.018398832095426924, 0.07724000859522347, -0.3037551215648291, 0.1204610752507246, 0.01095807776950738, 0.04454294819103068, 0.0004039502139164119, -0.08345448601396144, -0.03940493716396579, 0.10916942628315736, 0.012008146752658136, 0.02223951690204191, 0.1397527684066288, -0.1348637996589718, -0.11965438086899514, 0.2985326620131856, -0.09696123268486571, -0.1718046413703984, 0.18335325635985292, -0.059666400485742496, -0.13044224925605313, 0.124869931254442, 0.20746192587304765, 0.07729429950421098, -0.11534290939976438, 0.009189383893766823, -0.016792250969329802, 0.16477960326215801, 0.03703018863726517, 0.01675734860321679, 0.15845684916908, 0.24846464816183478, 0.1291628612494957, 0.12477285889106482, -0.03605855458236041, -0.1519767195299393, -0.20149977599121943, -0.058545738012537735, -0.2044281074659852, 0.039926062002504134, -0.16965157266519376, -0.11180584709538624, 0.36578036102802813, 0.15451068340158952, 0.20754851974515603, 0.08596187226666029, 0.2616699360489078, 0.12028797884166491, 0.11409847134677302, 0.0886647908854447, 0.33345393691712816, 0.1432213073072, 0.09664800138302743, -0.25560821115407123, 0.10901674529353642, -0.025635058486818515] |
707.3354 | Indications of a Four-Quark Structure for the X(3872) and X(3876)
Particles from Recent Belle and BABAR Data | Recent results by BELLE and BaBar point to the existence of a second X
particle decaying in D^0 D^0bar pi^0, a few MeV above the X(3872). We identify
the two X states with the neutral particles predicted by the 4-quark model and
show that production and decays are consistent with this assignement. We
consider the yet-to-be-observed charged partners and give new hints on how to
look for them.
| hep-ph | recent results by belle and babar point to the existence of a second x particle decaying in d0 d0bar pi0 a few mev above the x3872 we identify the two x states with the neutral particles predicted by the 4quark model and show that production and decays are consistent with this assignement we consider the yettobeobserved charged partners and give new hints on how to look for them | [['recent', 'results', 'by', 'belle', 'and', 'babar', 'point', 'to', 'the', 'existence', 'of', 'a', 'second', 'x', 'particle', 'decaying', 'in', 'd0', 'd0bar', 'pi0', 'a', 'few', 'mev', 'above', 'the', 'x3872', 'we', 'identify', 'the', 'two', 'x', 'states', 'with', 'the', 'neutral', 'particles', 'predicted', 'by', 'the', '4quark', 'model', 'and', 'show', 'that', 'production', 'and', 'decays', 'are', 'consistent', 'with', 'this', 'assignement', 'we', 'consider', 'the', 'yettobeobserved', 'charged', 'partners', 'and', 'give', 'new', 'hints', 'on', 'how', 'to', 'look', 'for', 'them']] | [-0.06398861695414604, 0.24347762271428286, -0.0547371829595806, 0.11028051711862157, -0.025492295809177015, -0.183638622442177, 0.10090530273998018, 0.2983504466768076, -0.18223632927705993, -0.24507098168885308, -0.03840164286119224, -0.3979685493369601, -0.02757283892315715, 0.11140816217225824, 0.07965756595523944, 0.07329706504329372, 0.11450260317425674, 0.024687450511186426, -0.050326091067087075, -0.20051173131857344, 0.3131208589870427, -0.009331910467859524, 0.17468176874568436, 0.1235350305492531, 0.010222230586153803, -0.026166528856916938, -0.015409617673487528, -0.07327817872500242, -0.17800970784609585, 0.08978541306160918, 0.18428239070657473, 0.11788357165294575, 0.14804636673139993, -0.36884140751477495, -0.07822130992313597, 0.16050975084471614, 0.12736055096472376, 0.08219638196473468, -0.11436737916230766, -0.4168693580205983, 0.16542196453465566, -0.163738072967963, -0.10875472757242509, -0.0851379462809705, 0.01741137789256537, -0.0378573603594481, -0.28750321897330566, 0.06564922004576716, -0.03198687213737128, 0.005895579339755671, -0.03274905012308884, -0.22031736418382444, -0.01990391489868956, 0.007658983997778216, 0.129685917156818, 0.07102063369812138, 0.16793434337170712, -0.11683965763146642, -0.2099905020432241, 0.3427337556243388, -0.08384995093680363, -0.16775947021070256, 0.20077423716603376, -0.21856387590628062, -0.13055784130858175, 0.1432259300890476, 0.17338707341131435, 0.04159443628098538, -0.17391355218949603, 0.08525578495212344, -0.09423590181812422, 0.16292288280726383, 0.06768317322538638, 0.03668651362158247, 0.2039689191707424, 0.1791834966071061, 0.007942584232051872, 0.08700529586370867, -0.08713667971862188, -0.062299082834106775, -0.4052962266019921, -0.16073211021165348, -0.0629389712920607, 0.08645204045295493, 0.011197461796153003, -0.07077812033691513, 0.39392676568631807, 0.08814335870904041, 0.37558987025004714, 0.00986659799966572, 0.24223519455808312, 0.05528820048211448, -0.009250023058240317, 0.0847417442406069, 0.3020836751379851, 0.13581295014678765, 0.1439269843247177, -0.21349780373110214, 0.0029994962448532236, 0.02610763295122714] |
707.3355 | Three-Family Models from a Heterotic Orbifold on the E_6 Root Lattice | We classify N=1 orbifolds on the E_6 root lattice and investigate explicit
model constructions on the Z_3xZ_3 orbifold in heterotic string theory.
Interestingly some of the twisted sectors from the Z_3xZ_3 orbifold on the E_6
root lattice have just three fixed tori respectively, and generate three
degenerate massless states. We also found three point functions with flavor
mixing terms. We assume only non-standard gauge embeddings and find that they
lead to three-family SU(5) and SO(10) GUT-like models. These models also
include strongly coupled sectors in the low energy and messenger states charged
with both hidden and visible sectors.
| hep-th hep-ph | we classify n1 orbifolds on the e_6 root lattice and investigate explicit model constructions on the z_3xz_3 orbifold in heterotic string theory interestingly some of the twisted sectors from the z_3xz_3 orbifold on the e_6 root lattice have just three fixed tori respectively and generate three degenerate massless states we also found three point functions with flavor mixing terms we assume only nonstandard gauge embeddings and find that they lead to threefamily su5 and so10 gutlike models these models also include strongly coupled sectors in the low energy and messenger states charged with both hidden and visible sectors | [['we', 'classify', 'n1', 'orbifolds', 'on', 'the', 'e_6', 'root', 'lattice', 'and', 'investigate', 'explicit', 'model', 'constructions', 'on', 'the', 'z_3xz_3', 'orbifold', 'in', 'heterotic', 'string', 'theory', 'interestingly', 'some', 'of', 'the', 'twisted', 'sectors', 'from', 'the', 'z_3xz_3', 'orbifold', 'on', 'the', 'e_6', 'root', 'lattice', 'have', 'just', 'three', 'fixed', 'tori', 'respectively', 'and', 'generate', 'three', 'degenerate', 'massless', 'states', 'we', 'also', 'found', 'three', 'point', 'functions', 'with', 'flavor', 'mixing', 'terms', 'we', 'assume', 'only', 'nonstandard', 'gauge', 'embeddings', 'and', 'find', 'that', 'they', 'lead', 'to', 'threefamily', 'su5', 'and', 'so10', 'gutlike', 'models', 'these', 'models', 'also', 'include', 'strongly', 'coupled', 'sectors', 'in', 'the', 'low', 'energy', 'and', 'messenger', 'states', 'charged', 'with', 'both', 'hidden', 'and', 'visible', 'sectors']] | [-0.11938097893774587, 0.23895329492127834, -0.011455665298854, 0.17283170953548202, -0.04761193199374247, -0.22766102863048823, 0.026624543952493696, 0.3594619977423766, -0.18622353559476323, -0.28525781732363004, 0.113531211965892, -0.29239975634360843, -0.12534949835632384, 0.08039066734636435, -0.030252181430114433, -0.027585268287414994, 0.008937847354294112, 0.04347723804433675, -0.09203228809807722, -0.29619788568622124, 0.35026378544959397, -0.08176295052786979, 0.2778340285464462, 0.06260156085287842, 0.0914410631400339, -0.042803783966519404, -0.011527943182348585, -0.10250753128396657, -0.12854333584535502, 0.11508686422772978, 0.196369391908244, 0.01204155065837161, 0.023208236780192237, -0.4533633041040351, -0.19851664876720557, 0.15608532817471618, 0.1693423638935201, 0.0946362813798866, -0.033817749221877115, -0.2644844206709725, 0.05432269222364994, -0.20439021481918948, -0.10273203518227092, -0.1176102101211048, -0.10178985907017098, -0.0676013679336999, -0.22947714815381914, 0.04287382361205042, -0.029274009333069746, 0.06667792270309292, -0.0416175591138502, -0.1573112118676363, -0.12212324081338011, 0.04650500443434188, 0.14166046971877222, -0.025289845109606784, 0.09648803956224583, -0.19773952336193665, -0.18420432948429757, 0.3865931788556433, -0.061023131747788284, -0.25559628452174366, 0.20431762896866226, -0.1279544858892526, -0.22108392411125047, 0.07442163307374965, 0.13291138670077393, 0.11165476138315474, -0.06004149959577868, 0.2151781822385601, -0.09425844721651326, 0.11913831573868568, 0.0868641255365219, 0.027596895159755757, 0.26814344090720016, 0.05872470900552192, 0.02495345621961557, 0.06621488212598099, -0.012894610886481436, -0.16012688148960783, -0.40866560237676214, -0.07308789326392191, -0.04910307032211373, 0.10740244322854171, -0.13473035203939313, -0.15277483799339583, 0.4457183974251772, 0.08657687331045356, 0.21684201191722727, 0.06995519704651088, 0.1457927362062037, 0.030400689380864303, 0.09995284717782245, 0.05504177064600905, 0.19367483241421724, 0.10864066325787765, 0.003615514317061752, -0.1999579921369635, -0.17524682589282747, 0.15856964565076245] |
707.3356 | Measuring the kinetic power of AGN in the radio mode | (Abridged) We have studied the relationship among nuclear radio and X-ray
power, Bondi rate and the kinetic luminosity of sub-Eddington active galactic
nuclear (AGN) jets. Besides the recently discovered correlation between jet
kinetic and Bondi power, we show that a clear correlation exists also between
Eddington-scaled kinetic power and bolometric luminosity, given by:
Log(L_kin/L_Edd)=0.49*Log(L_bol/L_Edd)-0.78. The measured slope suggests that
these objects are in a radiatively inefficient accretion mode, and has been
used to put stringent constraints on the properties of the accretion flow. We
found no statistically significant correlations between Bondi power and
bolometric AGN luminosity, apart from that induced by their common dependence
on L_kin. Analyzing the relation between kinetic power and radio core
luminosity, we are then able to determine, statistically, both the probability
distribution of the mean jets Lorentz factor, peaking at \Gamma~7, and the
intrinsic relation between kinetic and radio core luminosity, that we estimate
as: Log(L_kin)=0.81*Log(L_R)+11.9, in good agreement with theoretical
predictions of synchrotron jet models. With the aid of these findings,
quantitative assessments of kinetic feedback from supermassive black holes in
the radio mode will be possible based on accurate determinations of the central
engine properties alone. As an example, Sgr A* may follow the correlations of
radio mode AGN, based on its observed radiative output and on estimates of the
accretion rate both at the Bondi radius and in the inner flow. If this is the
case, the SMBH in the Galactic center is the source of ~ 5 times 10^38 ergs/s
of mechanical power, equivalent to about 1.5 supernovae every 10^5 years.
| astro-ph | abridged we have studied the relationship among nuclear radio and xray power bondi rate and the kinetic luminosity of subeddington active galactic nuclear agn jets besides the recently discovered correlation between jet kinetic and bondi power we show that a clear correlation exists also between eddingtonscaled kinetic power and bolometric luminosity given by logl_kinl_edd049logl_boll_edd078 the measured slope suggests that these objects are in a radiatively inefficient accretion mode and has been used to put stringent constraints on the properties of the accretion flow we found no statistically significant correlations between bondi power and bolometric agn luminosity apart from that induced by their common dependence on l_kin analyzing the relation between kinetic power and radio core luminosity we are then able to determine statistically both the probability distribution of the mean jets lorentz factor peaking at gamma7 and the intrinsic relation between kinetic and radio core luminosity that we estimate as logl_kin081logl_r119 in good agreement with theoretical predictions of synchrotron jet models with the aid of these findings quantitative assessments of kinetic feedback from supermassive black holes in the radio mode will be possible based on accurate determinations of the central engine properties alone as an example sgr a may follow the correlations of radio mode agn based on its observed radiative output and on estimates of the accretion rate both at the bondi radius and in the inner flow if this is the case the smbh in the galactic center is the source of 5 times 1038 ergss of mechanical power equivalent to about 15 supernovae every 105 years | [['abridged', 'we', 'have', 'studied', 'the', 'relationship', 'among', 'nuclear', 'radio', 'and', 'xray', 'power', 'bondi', 'rate', 'and', 'the', 'kinetic', 'luminosity', 'of', 'subeddington', 'active', 'galactic', 'nuclear', 'agn', 'jets', 'besides', 'the', 'recently', 'discovered', 'correlation', 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707.3357 | Quantum mechanics on manifolds and topological effects | A unique classification of the topological effects associated to quantum
mechanics on manifolds is obtained on the basis of the invariance under
diffeomorphisms and the realization of the Lie-Rinehart relations between the
generators of the diffeomorphism group and the algebra of infinitely
differentiable functions on the manifold. This leads to a unique
("Lie-Rinehart") C* algebra as observable algebra; its regular representations
are shown to be locally Schroedinger and in one to one correspondence with the
unitary representations of the fundamental group of the manifold. Therefore, in
the absence of spin degrees of freedom and external fields, the first homotopy
group of the manifold appears as the only source of topological effects.
| math-ph hep-th math.MP | a unique classification of the topological effects associated to quantum mechanics on manifolds is obtained on the basis of the invariance under diffeomorphisms and the realization of the lierinehart relations between the generators of the diffeomorphism group and the algebra of infinitely differentiable functions on the manifold this leads to a unique lierinehart c algebra as observable algebra its regular representations are shown to be locally schroedinger and in one to one correspondence with the unitary representations of the fundamental group of the manifold therefore in the absence of spin degrees of freedom and external fields the first homotopy group of the manifold appears as the only source of topological effects | [['a', 'unique', 'classification', 'of', 'the', 'topological', 'effects', 'associated', 'to', 'quantum', 'mechanics', 'on', 'manifolds', 'is', 'obtained', 'on', 'the', 'basis', 'of', 'the', 'invariance', 'under', 'diffeomorphisms', 'and', 'the', 'realization', 'of', 'the', 'lierinehart', 'relations', 'between', 'the', 'generators', 'of', 'the', 'diffeomorphism', 'group', 'and', 'the', 'algebra', 'of', 'infinitely', 'differentiable', 'functions', 'on', 'the', 'manifold', 'this', 'leads', 'to', 'a', 'unique', 'lierinehart', 'c', 'algebra', 'as', 'observable', 'algebra', 'its', 'regular', 'representations', 'are', 'shown', 'to', 'be', 'locally', 'schroedinger', 'and', 'in', 'one', 'to', 'one', 'correspondence', 'with', 'the', 'unitary', 'representations', 'of', 'the', 'fundamental', 'group', 'of', 'the', 'manifold', 'therefore', 'in', 'the', 'absence', 'of', 'spin', 'degrees', 'of', 'freedom', 'and', 'external', 'fields', 'the', 'first', 'homotopy', 'group', 'of', 'the', 'manifold', 'appears', 'as', 'the', 'only', 'source', 'of', 'topological', 'effects']] | [-0.19937657902063383, 0.09676881980251621, -0.10257045875999841, 0.039170978985189855, -0.10368385525034354, -0.09856140652570773, -0.018227311731148343, 0.3357921991967135, -0.3338680795586861, -0.2380739864935209, 0.11611643926605482, -0.254310220682381, -0.13801902987331421, 0.17072201272690887, -0.08211787849631128, 0.007057364584840331, 0.029264099694587088, 0.1360175237311302, -0.13549422606960074, -0.20564279555099774, 0.4162094958445376, 0.019351842136726388, 0.26582294300153064, 0.01817679182607429, 0.16744960655525393, -0.00611585914786603, 0.02330357205911397, -0.011638438182270474, -0.06123354855656355, 0.13773659189328183, 0.24219856760674366, 0.046136519601065164, 0.19402131511670379, -0.3898000793766465, -0.17695665893119736, 0.11354783941312013, 0.10253874608525285, 0.05683267344343099, -0.014698179890737273, -0.3441152046445069, 0.061273326430268386, -0.15233899582479452, -0.14982326780152214, -0.08834754346268407, 0.0458811326875343, -0.038131590617971646, -0.20100379973935248, 0.026106600297262538, 0.09005007631594299, 0.10434569700344189, -0.07972419414321077, -0.029947460079481743, -0.11406649005188195, 0.1515225279522506, 0.031783997465076076, 0.05859036637923202, 0.13187201519135958, -0.13846472046875, -0.1517544516135712, 0.4169759535826407, -0.030986663725999026, -0.2641642001700831, 0.194787211613394, -0.18161931769033005, -0.17852418644454432, 0.0841695465911012, 0.11602382960955838, 0.11241314733224744, -0.0785225509825322, 0.1799661284459436, -0.05275356513657817, 0.08897632916525074, 0.02234048328807091, 0.06493540688812195, 0.1727245129279893, 0.09175835926555567, 0.09979930493208738, 0.12097900413996163, 0.014475203863332502, -0.08126480614783259, -0.3676798932153631, -0.19601599280596585, -0.16151328955625965, 0.1270615398749575, -0.1093229994734724, -0.18606659587182164, 0.4487971423302886, 0.08706412416031198, 0.17579891899315356, 0.0531207758027154, 0.19473682528546266, 0.09165723859080793, 0.11493793463959517, 0.04678456635877221, 0.1781183560420801, 0.25054794373955613, -0.020618789992924477, -0.21157316504432275, -0.03850976195761112, 0.14391477380854054] |
707.3358 | New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating
Mass Matrix | It is shown that when the mass matrix changes in orientation (rotates) in
generation space for changing energy scale, then the masses of the lower
generations are not given just by its eigenvalues. In particular, these masses
need not be zero even when the eigenvalues are zero. In that case, the strong
CP problem can be avoided by removing the unwanted $\theta$ term by a chiral
transformation in no contradiction with the nonvanishing quark masses
experimentally observed. Similarly, a rotating mass matrix may shed new light
on the problem of chiral symmetry breaking. That the fermion mass matrix may so
rotate with scale has been suggested before as a possible explanation for
up-down fermion mixing and fermion mass hierarchy, giving results in good
agreement with experiment.
| hep-ph hep-th | it is shown that when the mass matrix changes in orientation rotates in generation space for changing energy scale then the masses of the lower generations are not given just by its eigenvalues in particular these masses need not be zero even when the eigenvalues are zero in that case the strong cp problem can be avoided by removing the unwanted theta term by a chiral transformation in no contradiction with the nonvanishing quark masses experimentally observed similarly a rotating mass matrix may shed new light on the problem of chiral symmetry breaking that the fermion mass matrix may so rotate with scale has been suggested before as a possible explanation for updown fermion mixing and fermion mass hierarchy giving results in good agreement with experiment | [['it', 'is', 'shown', 'that', 'when', 'the', 'mass', 'matrix', 'changes', 'in', 'orientation', 'rotates', 'in', 'generation', 'space', 'for', 'changing', 'energy', 'scale', 'then', 'the', 'masses', 'of', 'the', 'lower', 'generations', 'are', 'not', 'given', 'just', 'by', 'its', 'eigenvalues', 'in', 'particular', 'these', 'masses', 'need', 'not', 'be', 'zero', 'even', 'when', 'the', 'eigenvalues', 'are', 'zero', 'in', 'that', 'case', 'the', 'strong', 'cp', 'problem', 'can', 'be', 'avoided', 'by', 'removing', 'the', 'unwanted', 'theta', 'term', 'by', 'a', 'chiral', 'transformation', 'in', 'no', 'contradiction', 'with', 'the', 'nonvanishing', 'quark', 'masses', 'experimentally', 'observed', 'similarly', 'a', 'rotating', 'mass', 'matrix', 'may', 'shed', 'new', 'light', 'on', 'the', 'problem', 'of', 'chiral', 'symmetry', 'breaking', 'that', 'the', 'fermion', 'mass', 'matrix', 'may', 'so', 'rotate', 'with', 'scale', 'has', 'been', 'suggested', 'before', 'as', 'a', 'possible', 'explanation', 'for', 'updown', 'fermion', 'mixing', 'and', 'fermion', 'mass', 'hierarchy', 'giving', 'results', 'in', 'good', 'agreement', 'with', 'experiment']] | [-0.12406860693590716, 0.2917346801379666, -0.04128524277817517, 0.1070554097421423, -0.09506781192289458, -0.14536170709863425, 0.04528173466678709, 0.3654274642171841, -0.2201624745650897, -0.33988937065337915, 0.097627738795598, -0.24773659642475346, -0.0986007015583002, 0.1332938535109399, -0.02238711037687839, 0.05979100743073985, 0.059261197937534205, 0.06028246382502691, -0.12978697255935653, -0.210075157541146, 0.3222189646265987, 0.010953545572221397, 0.2246779862935433, 0.0996467973889103, 0.03349757131599333, -0.05252119778500249, 0.034007879883228315, -0.02169571958490581, -0.04308158554230763, -0.0033566951404657356, 0.17719001101010243, 0.05035318658753697, 0.17474933200707984, -0.4012519657641413, -0.1834719207947187, 0.15729948547705713, 0.18525662549239183, 0.12137600258436232, -0.12725325048502004, -0.2674748987414032, 0.08292460225389472, -0.15431688575855723, -0.2014300940107436, -0.07315758566209485, 0.008149084668340427, -0.07835954532677693, -0.2898230162330918, 0.11208400580604604, 0.01746240447253166, 0.00670416348259009, -0.012223071565607651, -0.1512512758684655, -0.08061348143151946, 0.0867430622313386, 0.1338524267221579, 0.038302299392867896, 0.09116791884668009, -0.12022437780193748, -0.07460127920577568, 0.4206644118364368, -0.07252162867890936, -0.22672465558178603, 0.11599633133219969, -0.17130923787841484, -0.12103719651580803, 0.11847711646271544, 0.1093524458424543, 0.0723882454035375, -0.14636803774411664, 0.09284016209800491, -0.10838350876870137, 0.18634287879011402, 0.11992852686209575, 0.013063760110699582, 0.3018676740642164, 0.13013731956940203, 0.0749405162918958, 0.04350813588733592, -0.030119141536055223, -0.09990658045012785, -0.27706621525927433, -0.10301446026959826, -0.20192679399365765, 0.045706621046216846, -0.08456930626793081, -0.0985309166678076, 0.38169062441392315, 0.1332019724872052, 0.25923524688308436, 0.03133996605821368, 0.2755095997681132, 0.13998008590507588, 0.1522836586652649, 0.04805058069778458, 0.2896677231996335, 0.1468463041875068, 0.10200180809220506, -0.2694627847226839, 0.05201363807455415, 0.05469776053232924] |
707.3359 | On the superstrings-induced four-dimensional gravity, and its
applications to cosmology | We review the status of the fourth-order (quartic in the spacetime curvature)
terms induced by superstrings/M-theory (compactified on a warped torus) in the
leading order with respect to the Regge slope parameter, and study their
(non-perturbative) impact on the evolution of the Hubble scale in the context
of the four-dimensional FRW cosmology. After taking into account the quantum
ambiguities in the definition of the off-shell superstring effective action, we
propose the generalized Friedmann equations, find the existence of their (de
Sitter) exact inflationary solutions without a spacetime singularity, and
constrain the ambiguities by demanding stability and the scale factor duality
invariance of our solutions. The most naive (Bel-Robinson tensor squared)
quartic terms are ruled out, thus giving the evidence for the necessity of
extra quartic (Ricci tensor-dependent) terms in the off-shell gravitational
effective action for superstrings. Our methods are generalizable to the higher
orders in the spacetime curvature.
| hep-th gr-qc | we review the status of the fourthorder quartic in the spacetime curvature terms induced by superstringsmtheory compactified on a warped torus in the leading order with respect to the regge slope parameter and study their nonperturbative impact on the evolution of the hubble scale in the context of the fourdimensional frw cosmology after taking into account the quantum ambiguities in the definition of the offshell superstring effective action we propose the generalized friedmann equations find the existence of their de sitter exact inflationary solutions without a spacetime singularity and constrain the ambiguities by demanding stability and the scale factor duality invariance of our solutions the most naive belrobinson tensor squared quartic terms are ruled out thus giving the evidence for the necessity of extra quartic ricci tensordependent terms in the offshell gravitational effective action for superstrings our methods are generalizable to the higher orders in the spacetime curvature | [['we', 'review', 'the', 'status', 'of', 'the', 'fourthorder', 'quartic', 'in', 'the', 'spacetime', 'curvature', 'terms', 'induced', 'by', 'superstringsmtheory', 'compactified', 'on', 'a', 'warped', 'torus', 'in', 'the', 'leading', 'order', 'with', 'respect', 'to', 'the', 'regge', 'slope', 'parameter', 'and', 'study', 'their', 'nonperturbative', 'impact', 'on', 'the', 'evolution', 'of', 'the', 'hubble', 'scale', 'in', 'the', 'context', 'of', 'the', 'fourdimensional', 'frw', 'cosmology', 'after', 'taking', 'into', 'account', 'the', 'quantum', 'ambiguities', 'in', 'the', 'definition', 'of', 'the', 'offshell', 'superstring', 'effective', 'action', 'we', 'propose', 'the', 'generalized', 'friedmann', 'equations', 'find', 'the', 'existence', 'of', 'their', 'de', 'sitter', 'exact', 'inflationary', 'solutions', 'without', 'a', 'spacetime', 'singularity', 'and', 'constrain', 'the', 'ambiguities', 'by', 'demanding', 'stability', 'and', 'the', 'scale', 'factor', 'duality', 'invariance', 'of', 'our', 'solutions', 'the', 'most', 'naive', 'belrobinson', 'tensor', 'squared', 'quartic', 'terms', 'are', 'ruled', 'out', 'thus', 'giving', 'the', 'evidence', 'for', 'the', 'necessity', 'of', 'extra', 'quartic', 'ricci', 'tensordependent', 'terms', 'in', 'the', 'offshell', 'gravitational', 'effective', 'action', 'for', 'superstrings', 'our', 'methods', 'are', 'generalizable', 'to', 'the', 'higher', 'orders', 'in', 'the', 'spacetime', 'curvature']] | [-0.16044723074038014, 0.12699263931685828, -0.09687521507682866, 0.12876686117969044, -0.12728338631201688, -0.09611060067194782, -0.05099510115233237, 0.27177435465313315, -0.17368718748035114, -0.25905845261837535, 0.08126421262388922, -0.24227948277257383, -0.13561544794436187, 0.11158538658701343, -0.03778441084472284, 0.03910090223477822, 0.0025716182833205757, 0.05343372086445763, -0.12191728100320962, -0.2944718094635117, 0.4118732425881779, 0.08038599404334154, 0.24962697331857395, 0.07061430525627906, 0.13920429666775394, -0.02574806540410277, -0.06907942244936138, 0.004814860544945687, -0.1695573991419722, 0.11505835889264533, 0.1921813238463173, 0.07029269329489093, 0.17003081291148517, -0.42100400615432493, -0.24295650191656123, 0.10606648280900864, 0.16805340161575769, 0.150147333623178, 0.01832127907753552, -0.3275743847751148, 0.04083873126524252, -0.16445643550593547, -0.17623974891875438, -0.10105552474572642, -0.012718316693854046, -0.12116801362542104, -0.1730830908716299, 0.13147268842145074, 0.022731784992685466, 0.008359237229579116, -0.08831684661021277, -0.075889976180082, -0.03101881361592, 0.05654679669851871, 0.14963955791788303, 0.04189910539202647, 0.09780508510557909, -0.19496197158419717, -0.11033660358404868, 0.4021704761687768, -0.12376773942737164, -0.25883197756994464, 0.08497379329023654, -0.13993134049137365, -0.11517164978670748, 0.10384530312866483, 0.11923552359524502, 0.13992190427323867, -0.12991828029522393, 0.23734492483135786, 0.09012635030994218, 0.09202987263106728, 0.1270412081878071, 0.055354654967580755, 0.24508346804443185, 0.08161402565956576, 0.04004055833801219, 0.0982647063752815, -0.009574768592743841, -0.15320041927043349, -0.4458906969297932, -0.13292575555084885, -0.07860176162539076, 0.11560507568096971, -0.2470086817148226, -0.17064901162576798, 0.40028893068984583, 0.10910293536439333, 0.16447721134069096, 0.08160714292719368, 0.2481348382385626, 0.099193999150685, 0.08218391581393829, 0.05919265288904258, 0.3079757010468524, 0.12237433334876312, 0.09466979844967695, -0.2947108412340079, -0.055775582704259315, 0.1590292806966766] |
707.336 | Some constructions of almost para-hyperhermitian structures on manifolds
and tangent bundles | In this paper we give some examples of almost para-hyperhermitian structures
on the tangent bundle of an almost product manifold, on the product manifold
$M\times\mathbb{R}$, where $M$ is a manifold endowed with a mixed 3-structure
and on the circle bundle over a manifold with a mixed 3-structure.
| math.DG | in this paper we give some examples of almost parahyperhermitian structures on the tangent bundle of an almost product manifold on the product manifold mtimesmathbbr where m is a manifold endowed with a mixed 3structure and on the circle bundle over a manifold with a mixed 3structure | [['in', 'this', 'paper', 'we', 'give', 'some', 'examples', 'of', 'almost', 'parahyperhermitian', 'structures', 'on', 'the', 'tangent', 'bundle', 'of', 'an', 'almost', 'product', 'manifold', 'on', 'the', 'product', 'manifold', 'mtimesmathbbr', 'where', 'm', 'is', 'a', 'manifold', 'endowed', 'with', 'a', 'mixed', '3structure', 'and', 'on', 'the', 'circle', 'bundle', 'over', 'a', 'manifold', 'with', 'a', 'mixed', '3structure']] | [-0.23129714389351455, 0.034613946901369305, -0.059208800951811545, -0.00894832409957939, -0.08145089955762663, -0.11783245241546884, -0.023688587218899517, 0.4076008653228587, -0.24157340983127026, -0.1885540548147277, 0.16686783706957592, -0.26163995416557534, -0.1824932994439881, 0.16381418958127975, -0.1552010142898306, -0.07474608988837993, 0.09892548635562366, 0.17964470434062024, -0.13280816263261627, -0.2365630503714164, 0.5463169556348881, 0.009689584017751064, 0.2151206791638694, 0.028469846415472157, 0.21943814039943701, -0.028069705058364793, 0.0693078957735858, 0.026270485602002194, -0.12590880612743663, 0.13855734364466465, 0.18836294027402045, 0.05579553334478368, 0.1959654940490393, -0.3795111653533705, -0.15369237034997724, 0.16441583260893822, 0.09265975980088115, -0.08199486104731864, 0.005403253133408725, -0.3045056221332956, 0.05628951143552648, -0.11275637950351898, -0.11298055047208959, -0.0794315920706759, 0.00889647373572943, -0.06485969118496522, -0.2225105239950279, -0.08291448735968864, 0.08030396545840864, 0.0972070657113131, -0.125888960673771, -0.08398870927618539, -0.06786154622727252, 0.01871144503077611, -0.011869032713683678, 0.10214294510041462, 0.08765061644520214, 0.01018331664059549, -0.11399865382291535, 0.3504458672188698, -0.13454519773021023, -0.34039078502261894, 0.11298293048674439, -0.11178676455103337, -0.14522817124553183, 0.1333223551591026, 0.16641767299238672, 0.1974786345628982, 0.029353978429385957, 0.15268621425159237, -0.1479468787128621, 0.07061371690732368, 0.039311857497755516, -0.05415213884825402, 0.12319404549619302, 0.18736473352034042, 0.1952929426024252, 0.09053951335892557, -0.01580965493686814, -0.11623764985260811, -0.3505548917232676, -0.2733792839968141, -0.1395111974883587, 0.22993697323142848, -0.11411927096475104, -0.23490930079145633, 0.3953712424857819, -0.08725234434167121, 0.3039485837550873, 0.11009994690167776, 0.23997346155266178, -0.016872138399234477, 0.023755302504101333, 0.10184059758730074, 0.12722819468236846, 0.22466025885907895, 0.0058935483635224875, -0.06726634550958555, -0.05087326211418877, 0.08215679884194693] |
707.3361 | Reply to `Extended Rejoinder to "Extended Comment on "One-Range Addition
Theorems for Coulomb Interaction Potential and Its Derivatives" by I. I.
Guseinov (Chem. Phys. Vol. 309 (2005), pp. 209 - 211)", arXiv:0706.0975v2" | In the years from 2001 to 2006, Guseinov and his coworkers published 40
articles on the derivation and application of one-range addition theorems. In
E. J. Weniger, Extended Comment on ``One-Range Addition Theorems for Coulomb
Interaction Potential and Its Derivatives'' by I. I. Guseinov (Chem. Phys. Vol.
309 (2005), pp. 209 - 213), arXiv:0704.1088v2 [math-ph], it was argued that
Guseinov's treatment of one-range addition theorems is at best questionable and
in some cases fundamentally flawed. In I. I. Guseinov, Extended Rejoinder to
"Extended Comment on "One-Range Addition Theorems for Coulomb Interaction
Potential and Its Derivatives'' by I. I. Guseinov (Chem. Phys. and Vol. 309
(2005)'', pp. 209-213), arXiv:0706.0975v2 [physics.chem-ph], these claims were
disputed. To clarify the situation, the most serious mathematical flaws in
Guseinov's treatment of one-range addition theorems are discussed in more
depth.
| math-ph math.MP | in the years from 2001 to 2006 guseinov and his coworkers published 40 articles on the derivation and application of onerange addition theorems in e j weniger extended comment on onerange addition theorems for coulomb interaction potential and its derivatives by i i guseinov chem phys vol 309 2005 pp 209 213 arxiv07041088v2 mathph it was argued that guseinovs treatment of onerange addition theorems is at best questionable and in some cases fundamentally flawed in i i guseinov extended rejoinder to extended comment on onerange addition theorems for coulomb interaction potential and its derivatives by i i guseinov chem phys and vol 309 2005 pp 209213 arxiv07060975v2 physicschemph these claims were disputed to clarify the situation the most serious mathematical flaws in guseinovs treatment of onerange addition theorems are discussed in more depth | [['in', 'the', 'years', 'from', '2001', 'to', '2006', 'guseinov', 'and', 'his', 'coworkers', 'published', '40', 'articles', 'on', 'the', 'derivation', 'and', 'application', 'of', 'onerange', 'addition', 'theorems', 'in', 'e', 'j', 'weniger', 'extended', 'comment', 'on', 'onerange', 'addition', 'theorems', 'for', 'coulomb', 'interaction', 'potential', 'and', 'its', 'derivatives', 'by', 'i', 'i', 'guseinov', 'chem', 'phys', 'vol', '309', '2005', 'pp', '209', '213', 'arxiv07041088v2', 'mathph', 'it', 'was', 'argued', 'that', 'guseinovs', 'treatment', 'of', 'onerange', 'addition', 'theorems', 'is', 'at', 'best', 'questionable', 'and', 'in', 'some', 'cases', 'fundamentally', 'flawed', 'in', 'i', 'i', 'guseinov', 'extended', 'rejoinder', 'to', 'extended', 'comment', 'on', 'onerange', 'addition', 'theorems', 'for', 'coulomb', 'interaction', 'potential', 'and', 'its', 'derivatives', 'by', 'i', 'i', 'guseinov', 'chem', 'phys', 'and', 'vol', '309', '2005', 'pp', '209213', 'arxiv07060975v2', 'physicschemph', 'these', 'claims', 'were', 'disputed', 'to', 'clarify', 'the', 'situation', 'the', 'most', 'serious', 'mathematical', 'flaws', 'in', 'guseinovs', 'treatment', 'of', 'onerange', 'addition', 'theorems', 'are', 'discussed', 'in', 'more', 'depth']] | [-0.02476262349126384, 0.013119928538799286, -0.07181737818863503, 0.0365992953816732, -0.06078202069498772, -0.15060798735484163, 0.10616415158877972, 0.3159515118161433, -0.09497642982570642, -0.3260359467952981, 0.03902690372020981, -0.3243735678306268, -0.16116390652348137, 0.13759333591604994, -0.17162890028742742, -0.02210072453617472, 0.01673393071333105, -0.07863061367209222, -0.008439642974615906, -0.3351612129472485, 0.19133747720462813, 0.0773116679385651, 0.21582884912296962, 0.1251642418584909, 0.0045466534233861424, 0.10484847067963592, -0.15915448065258764, -0.04317543050715605, -0.21244173962831572, 0.06525718359016748, 0.2636917643691233, 0.073458075725524, 0.27413908783490804, -0.39097529353732746, -0.14137422533113828, 0.03742146069660436, 0.02070928750877348, 0.07528938251085464, 0.052619500096879226, -0.3340798014442819, 0.033042946465804364, -0.23501913203287494, -0.14587209469010665, -0.06474831398637865, 0.22230275752123937, 0.02263840139561961, -0.2165028663575938, 0.1597212153999496, 0.13101678701882907, 0.10844047722052927, -0.02979079565726394, -0.2248524889212766, 0.00047392951497851415, -0.04160742612209085, 0.03986120812212254, 0.0554065838340641, 0.07438789679517233, -0.07021156993925629, -0.16321713814526334, 0.32535207018169554, -0.0034349614523293435, -0.10042587495697734, 0.25580803150051207, -0.06428834497062273, -0.18567045113566338, 0.07191957440588248, 0.09539532486724761, 0.09153274326159279, -0.19555700757331396, 0.18435335523618543, -0.019207795217133294, 0.08580067870026642, 0.19370032232904502, -0.041063027898600515, 0.08211632984935834, 0.0037074736138993456, -0.10778822995047266, 0.025515047734957046, -0.07612581322395583, -0.13458582483116507, -0.33300173239305964, -0.18034342235376583, -0.15617651464922946, 0.0861947416533651, 0.016187540696556642, -0.05139749310910702, 0.32677981507821846, 0.1999872021662259, 0.0867408798292799, -0.06265198382686159, 0.117380069832267, 0.07971053895388924, -0.05811783812363459, 0.12786508943206926, 0.3073243499860301, 0.22394090191670513, 0.19269650540307395, -0.12162877407101842, -0.03325325966444473, 0.10365353248948674] |
707.3362 | Gibbs measures with double stochastic integrals on a path space | We investigate Gibbs measures relative to Brownian motion in the case when
the interaction energy is given by a double stochastic integral. In the case
when the double stochastic integral is originating from the Pauli-Fierz model
in nonrelativistic quantum electrodynamics, we prove the existence of its
infinite volume limit.
| math-ph math.MP | we investigate gibbs measures relative to brownian motion in the case when the interaction energy is given by a double stochastic integral in the case when the double stochastic integral is originating from the paulifierz model in nonrelativistic quantum electrodynamics we prove the existence of its infinite volume limit | [['we', 'investigate', 'gibbs', 'measures', 'relative', 'to', 'brownian', 'motion', 'in', 'the', 'case', 'when', 'the', 'interaction', 'energy', 'is', 'given', 'by', 'a', 'double', 'stochastic', 'integral', 'in', 'the', 'case', 'when', 'the', 'double', 'stochastic', 'integral', 'is', 'originating', 'from', 'the', 'paulifierz', 'model', 'in', 'nonrelativistic', 'quantum', 'electrodynamics', 'we', 'prove', 'the', 'existence', 'of', 'its', 'infinite', 'volume', 'limit']] | [-0.12505920535447645, 0.14808999308936147, -0.0810787364821501, 0.11515654620182302, -0.00971870645120436, -0.08035652919159252, 0.015447349168778378, 0.29934921723847485, -0.3171709496147779, -0.23400075140656257, 0.052376149870854406, -0.3072570717076258, -0.11793514538784416, 0.16998992327657736, -0.07286635211345796, 0.03206572919128919, 0.05935627818867868, 0.12050723390919822, -0.04536275597935428, -0.18720168770499984, 0.32266625047338254, 0.008243385804531982, 0.21967665110334603, 0.02848304488829204, 0.1306601444981536, 0.07610853478711631, 0.012550825424188254, 0.023813213706396674, -0.1509497971939189, 0.0877585235450949, 0.16173871437548565, -0.008271317306563867, 0.2859110350777604, -0.39434369889144993, -0.197804115788669, 0.14839201287499496, 0.10326160332639417, 0.11137240058837497, -0.008426273113344701, -0.2916330885883345, 0.01315674562083215, -0.1875392117214446, -0.19086023263291133, -0.021114861611656998, 0.004811959835339566, 0.07244936882385186, -0.22656071364727556, 0.12307258706767948, 0.07189266736769445, -0.010160979848088962, -0.08752626530607516, -0.03995949514590356, 0.021272133427615067, 0.056989591802726974, 0.05319677657039114, -0.015364448197794204, 0.1264826354513667, -0.15553414236221993, -0.1494675428055379, 0.39501239887761824, -0.1441513776817188, -0.28082004181888637, 0.1378542127239765, -0.2113680756004641, -0.1313656866716753, 0.13536872737328237, 0.10105124722253911, 0.11987694214117162, -0.17534263952152937, 0.23814244857247996, -0.03097286609438609, 0.06821008916107976, 0.033002959583334775, -0.0037343465742103905, 0.16274753513232787, 0.13844483941603375, 0.09122774424031377, 0.22568107039871987, -0.12033780249862039, -0.2373731372668883, -0.36479790615183966, -0.18418884596654347, -0.19248247895465823, 0.13078750783045376, -0.10899671453184315, -0.19836547588739467, 0.30989901286226756, 0.11345856264233589, 0.12706770536926937, 0.04386151627618439, 0.2711612635045027, 0.22765190543948996, -0.020751665579155087, 0.06834876441339753, 0.24337720998315787, 0.18418319898239355, 0.08440077409376295, -0.25773619217513016, -0.02226521092828135, 0.15934460921859256] |
707.3363 | Very deep X-ray observations of the Anomalous X-ray Pulsar 4U 0142+614 | We report on two new XMM-Newton observations of the Anomalous X-ray Pulsar
(AXP) 4U 0142+614 performed in March and July 2004, collecting the most
accurate spectrum for this source to date. Furthermore, we analyse two short
archival observations performed in February 2002 and January 2003 (the latter
already reported by Gohler et al. 2005) in order to study the long term
behaviour of this AXP. 4U 0142+614 appears to be relatively steady in flux
between 2002 and 2004, and the phase-averaged spectrum does not show any
significant variability between the four epochs. We derive the deepest upper
limits to date on the presence of lines in the 4U 0142+614 spectrum as a
function of energy: equivalent width in the 1-3 keV energy range < 4 eV and < 8
eV for narrow and broad lines, respectively. A remarkable energy dependence in
both the pulse profile and the pulsed fraction is detected, and consequently
pulse-phase spectroscopy shows spectral variability as a function of phase. By
making use of XMM-Newton and INTEGRAL data, we successfully model the 1-250 keV
spectrum of 4U 0142+614 with three models presented in Rea et al. (2007a),
namely the canonical absorbed blackbody plus two power-laws, a resonant
cyclotron scattering model plus one power-law and two log-parabolic functions.
| astro-ph | we report on two new xmmnewton observations of the anomalous xray pulsar axp 4u 0142614 performed in march and july 2004 collecting the most accurate spectrum for this source to date furthermore we analyse two short archival observations performed in february 2002 and january 2003 the latter already reported by gohler et al 2005 in order to study the long term behaviour of this axp 4u 0142614 appears to be relatively steady in flux between 2002 and 2004 and the phaseaveraged spectrum does not show any significant variability between the four epochs we derive the deepest upper limits to date on the presence of lines in the 4u 0142614 spectrum as a function of energy equivalent width in the 13 kev energy range 4 ev and 8 ev for narrow and broad lines respectively a remarkable energy dependence in both the pulse profile and the pulsed fraction is detected and consequently pulsephase spectroscopy shows spectral variability as a function of phase by making use of xmmnewton and integral data we successfully model the 1250 kev spectrum of 4u 0142614 with three models presented in rea et al 2007a namely the canonical absorbed blackbody plus two powerlaws a resonant cyclotron scattering model plus one powerlaw and two logparabolic functions | [['we', 'report', 'on', 'two', 'new', 'xmmnewton', 'observations', 'of', 'the', 'anomalous', 'xray', 'pulsar', 'axp', '4u', '0142614', 'performed', 'in', 'march', 'and', 'july', '2004', 'collecting', 'the', 'most', 'accurate', 'spectrum', 'for', 'this', 'source', 'to', 'date', 'furthermore', 'we', 'analyse', 'two', 'short', 'archival', 'observations', 'performed', 'in', 'february', '2002', 'and', 'january', '2003', 'the', 'latter', 'already', 'reported', 'by', 'gohler', 'et', 'al', '2005', 'in', 'order', 'to', 'study', 'the', 'long', 'term', 'behaviour', 'of', 'this', 'axp', '4u', '0142614', 'appears', 'to', 'be', 'relatively', 'steady', 'in', 'flux', 'between', '2002', 'and', '2004', 'and', 'the', 'phaseaveraged', 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'blackbody', 'plus', 'two', 'powerlaws', 'a', 'resonant', 'cyclotron', 'scattering', 'model', 'plus', 'one', 'powerlaw', 'and', 'two', 'logparabolic', 'functions']] | [-0.07455524720323546, 0.09192761636321131, -0.0637472324559222, 0.09246576369564602, -0.08809918905119074, -0.12243353261877805, 0.0770919467120067, 0.43021789148611866, -0.1533945877805739, -0.42867491482689546, 0.08400231764026454, -0.3327527673192916, -0.043447156004823635, 0.21761029762112433, -0.027876618633199717, 0.017368326243125624, 0.06623568979276408, -0.09194601636946849, -0.026943212900882144, -0.20422430427407268, 0.2146760939422473, 0.09786728486769657, 0.21588540972032752, 0.04537023821787162, 0.08235678881183796, 0.0033311909503316965, -0.0480099757435925, -0.07661832247946214, -0.12063693966725526, 0.030688074066479137, 0.21713556134747466, 0.06224458075137916, 0.1632109683702682, -0.34479162488233944, -0.23253834498641285, 0.06944848167156611, 0.1042593625297653, -0.04195153979927072, 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707.3364 | On the base locus of the linear system of generalized theta functions | Let $\cM_r$ denote the moduli space of semi-stable rank-$r$ vector bundles
with trivial determinant over a smooth projective curve $C$ of genus $g$. In
this paper we study the base locus $\cB_r \subset \cM_r$ of the linear system
of the determinant line bundle $\cL$ over $\cM_r$, i.e., the set of semi-stable
rank-$r$ vector bundles without theta divisor. We construct base points in
$\cB_{g+2}$ over any curve $C$, and base points in $\cB_4$ over any
hyperelliptic curve.
| math.AG | let cm_r denote the moduli space of semistable rankr vector bundles with trivial determinant over a smooth projective curve c of genus g in this paper we study the base locus cb_r subset cm_r of the linear system of the determinant line bundle cl over cm_r ie the set of semistable rankr vector bundles without theta divisor we construct base points in cb_g2 over any curve c and base points in cb_4 over any hyperelliptic curve | [['let', 'cm_r', 'denote', 'the', 'moduli', 'space', 'of', 'semistable', 'rankr', 'vector', 'bundles', 'with', 'trivial', 'determinant', 'over', 'a', 'smooth', 'projective', 'curve', 'c', 'of', 'genus', 'g', 'in', 'this', 'paper', 'we', 'study', 'the', 'base', 'locus', 'cb_r', 'subset', 'cm_r', 'of', 'the', 'linear', 'system', 'of', 'the', 'determinant', 'line', 'bundle', 'cl', 'over', 'cm_r', 'ie', 'the', 'set', 'of', 'semistable', 'rankr', 'vector', 'bundles', 'without', 'theta', 'divisor', 'we', 'construct', 'base', 'points', 'in', 'cb_g2', 'over', 'any', 'curve', 'c', 'and', 'base', 'points', 'in', 'cb_4', 'over', 'any', 'hyperelliptic', 'curve']] | [-0.3248687507329534, -0.011248975719503854, -0.06010480559341712, -0.07626927380086472, -0.1135482101458801, -0.19003060602340593, 0.10241747174367359, 0.3393249367299962, -0.3127008122073053, -0.11443453904700605, 0.04361280881359612, -0.22387731923683457, -0.13668531876006354, 0.2111889926895295, -0.14422645660799813, -0.017027006471810276, 0.05751569717101855, 0.12377145211212337, -0.14835389701439042, -0.3407937501132973, 0.47086578913747446, -0.10452031200011708, 0.20414529011061747, -0.008363520752077233, 0.12123104220587913, 0.06869729534939747, 0.043948743084113895, -0.0414174451139494, -0.10004337151113847, 0.1143369466347033, 0.377689207157707, 0.12953786475405302, 0.13520670854422737, -0.3199563793429773, -0.20628323675171562, 0.4020192035065632, 0.11959442310035229, -0.10615900169088416, 0.14074853040941365, -0.17580098454674628, 0.13882525121053196, -0.10910561833887884, -0.20425728113352232, -0.05537227344099585, 0.08182490192838524, 0.011441360683856558, -0.2055630818557964, -0.12086767209566211, 0.026403671283632107, 0.25592000092928335, -0.05502431500983769, -0.16829329549673025, -0.17067470897486664, -0.05781003302728681, -0.002736495641914949, 0.16268035274777204, 0.06327473330758002, -0.08706320827023113, -0.06127672217633218, 0.34426439472486914, -0.17548065256544274, -0.21424936508275058, 0.0018982133917408448, -0.17222516138221405, -0.04126830722766686, 0.22506905666054927, 0.15846741629432734, 0.23116612834983494, 0.09042481456768431, 0.25368135323834107, -0.15855713425944112, 0.12246947317090753, 0.0831047261950292, -0.11685305196562246, 0.1902582375635712, 0.06879781158194456, 0.06998040973629853, 0.06421868709770784, -0.08098067799327921, -0.03222609769508294, -0.43120352576856746, -0.2725283331939415, -0.0876219275420251, 0.20963623571171336, -0.1863402039614388, -0.1870673726159722, 0.4230044138719876, -0.004249685756504944, 0.30149688860018775, 0.16525645890872773, 0.2185979857275339, -0.006597676012012789, 0.009973354813043182, 0.10816149640675277, 0.08112617467581103, 0.20252716421366554, -0.06910122613333268, -0.10158998563515712, -0.04256583442146035, 0.22654323681729704] |
707.3365 | Generalized Wick's theorem for multiquasiparticle overlaps as a limit of
Gaudin's theorem | We are able to rederive in a very simple way the standard generalized Wick's
theorem for overlaps of mean field wave functions by using the extension of the
statistical Wick's theorem (Gaudin's theorem) in the appropriate limits.
| nucl-th | we are able to rederive in a very simple way the standard generalized wicks theorem for overlaps of mean field wave functions by using the extension of the statistical wicks theorem gaudins theorem in the appropriate limits | [['we', 'are', 'able', 'to', 'rederive', 'in', 'a', 'very', 'simple', 'way', 'the', 'standard', 'generalized', 'wicks', 'theorem', 'for', 'overlaps', 'of', 'mean', 'field', 'wave', 'functions', 'by', 'using', 'the', 'extension', 'of', 'the', 'statistical', 'wicks', 'theorem', 'gaudins', 'theorem', 'in', 'the', 'appropriate', 'limits']] | [-0.06558992517356937, 0.07367275411112083, -0.17820999559921188, 0.20142147443383127, -0.055493463309028664, -0.06394226988777518, 0.08941641152911894, 0.2886893176347823, -0.24640340748167522, -0.26701234633455406, 0.06428973014919541, -0.18752517070419886, -0.1384178031537984, 0.24984393893061457, -0.0756855277986442, 0.055562405695987714, 0.02766154906271982, 0.014974691351321904, -0.0910759431536536, -0.16390993672649604, 0.3180828934182992, 0.007268219025226662, 0.26083156667851115, 0.06835707707166974, 0.0949108976921117, 0.128316715107979, -0.053872446668007085, -0.01137735795330357, -0.11862254306371953, 0.14258309997416832, 0.22415591554237982, 0.08799904842886168, 0.23452635049014478, -0.40776601300348303, -0.15678757106935656, 0.09163819069697245, 0.0969584455235383, 0.11907880017030481, 0.004567656565356899, -0.27659282833337784, 0.06918880290578346, -0.2130586242152227, -0.26999494333978036, -0.09875521250069141, -0.0305405025011734, 0.05821187373854824, -0.27791945331704776, 0.1561215397071194, 0.1421576485138487, 0.03462665996237381, -0.024921384904332256, -0.10193688138010534, 0.04262761840898845, 0.06742003901131652, 0.005442947098934972, 0.028681834014384327, 0.11076449762677422, -0.1035071057582123, -0.11055830387851677, 0.3478975136688835, -0.14632038147868337, -0.2623224516172667, 0.1253592578341832, -0.10272147992273441, -0.1735149372771785, 0.061974862389065126, 0.08811244444065802, 0.11036727798951639, -0.20275709883788148, 0.1642339003800943, -0.11273247884496782, 0.0655010100454092, 0.12025010841269348, -0.01293369845764057, 0.1687243280529573, 0.04659198400740688, 0.025171843432896846, 0.1484256756768839, -0.048795594858962135, -0.1179847447956736, -0.35018534414671565, -0.13882685060033928, -0.1954780564316221, 0.06445574184141839, -0.13237428157967893, -0.16438960283994675, 0.3694486009913522, 0.16825120492108367, 0.08980571101042065, 0.14068410905531128, 0.24168017264958974, 0.20171640095980586, 0.08814143391980513, 0.04264915314805064, 0.2545502401787687, 0.29421283793635666, 0.06341133624113895, -0.07615109131595976, -0.06337944710174122, 0.1832819955071082] |
707.3366 | The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona
Lasinio Model | We define the pion-photon Transition Distribution Amplitudes (TDA) in a field
theoretic formalism from a covariant Bethe-Salpeter approach for the
determination of the bound state. We apply our formalism to the Nambu - Jona
Lasinio model, as a realistic theory of the pion. The obtained vector and axial
TDAs satisfy all features required by general considerations. In particular,
sum rules and polynomiality condition are explicitly verified. We have
numerically proved that the odd coefficients in the polynomiality expansion of
the vector TDA vanish in the chiral limit. The role of PCAC and the presence of
a pion pole are explicitly shown.
| hep-ph | we define the pionphoton transition distribution amplitudes tda in a field theoretic formalism from a covariant bethesalpeter approach for the determination of the bound state we apply our formalism to the nambu jona lasinio model as a realistic theory of the pion the obtained vector and axial tdas satisfy all features required by general considerations in particular sum rules and polynomiality condition are explicitly verified we have numerically proved that the odd coefficients in the polynomiality expansion of the vector tda vanish in the chiral limit the role of pcac and the presence of a pion pole are explicitly shown | [['we', 'define', 'the', 'pionphoton', 'transition', 'distribution', 'amplitudes', 'tda', 'in', 'a', 'field', 'theoretic', 'formalism', 'from', 'a', 'covariant', 'bethesalpeter', 'approach', 'for', 'the', 'determination', 'of', 'the', 'bound', 'state', 'we', 'apply', 'our', 'formalism', 'to', 'the', 'nambu', 'jona', 'lasinio', 'model', 'as', 'a', 'realistic', 'theory', 'of', 'the', 'pion', 'the', 'obtained', 'vector', 'and', 'axial', 'tdas', 'satisfy', 'all', 'features', 'required', 'by', 'general', 'considerations', 'in', 'particular', 'sum', 'rules', 'and', 'polynomiality', 'condition', 'are', 'explicitly', 'verified', 'we', 'have', 'numerically', 'proved', 'that', 'the', 'odd', 'coefficients', 'in', 'the', 'polynomiality', 'expansion', 'of', 'the', 'vector', 'tda', 'vanish', 'in', 'the', 'chiral', 'limit', 'the', 'role', 'of', 'pcac', 'and', 'the', 'presence', 'of', 'a', 'pion', 'pole', 'are', 'explicitly', 'shown']] | [-0.13936033010832033, 0.16001305227167906, -0.1455104808975011, 0.13988875607494264, -0.05905773043166846, -0.07986176094040275, 0.06813043463393115, 0.30057935499586164, -0.17068214433267712, -0.19987624858040362, 0.014564110551727936, -0.23042621162720026, -0.18315669118892403, 0.08926129311788827, 0.05633667613845319, 0.08808441017987206, 0.014762257279362529, 0.07840006340295076, -0.10206429640762509, -0.21341825586743654, 0.37055399039294573, -0.01461543470621109, 0.31634745439514517, 0.12663046764209868, 0.07538390614558012, 0.0625571199762635, -0.032121894881129265, -0.039930328568443654, -0.143582558755661, 0.09801066462649033, 0.21674469794146717, 0.06501956589752808, 0.1366117679513991, -0.400516951745376, -0.18348897168878467, 0.06336128599010409, 0.15511726416647434, 0.12886565864551813, 0.04494802254484966, -0.290253125410527, 0.10480050031095743, -0.2098023545090109, -0.2135906448820606, -0.17123708706349133, -0.020850519886007533, -0.022798289321362974, -0.3192845429852605, 0.08772859018296003, 0.03260482421377674, 0.031027370998635888, -0.09615579686826095, -0.19226974306046032, -0.018331737958360465, 0.10046955703757704, 0.04914936769637279, 0.056131338654086, 0.0999674214841798, -0.1621801748452708, -0.10317466452834197, 0.3992550285696052, -0.07274466028902679, -0.22732468255795538, 0.03316087597049773, -0.14775100502651184, -0.17239305924158543, 0.08843791613820941, 0.10980942467227578, 0.10341135605238377, -0.16237247243057937, 0.14905018329445738, -0.07552724237088114, 0.07502063210471534, 0.09978302218951285, 0.025762157661956733, 0.1720266511850059, 0.08782113820081577, -0.04668213616823778, 0.11600264701060951, -0.03550426019821316, -0.15625017221551388, -0.41382850002497434, -0.10268412072917271, -0.1365926081070211, 0.030552181303501128, -0.10716080449477886, -0.1429277474069386, 0.3629064144194126, 0.15177620221395047, 0.1830820644882624, 0.07613260745536536, 0.29032468852819876, 0.18612549760960972, 0.06906552822329104, 0.04626727444177959, 0.24251655062427743, 0.2476132874400355, 0.11487729711807333, -0.2399591939034872, -0.014197306563146413, 0.15524998795241118] |
707.3367 | Magic Baseline Beta Beam | We study the physics reach of an experiment where neutrinos produced in a
beta-beam facility at CERN are observed in a large magnetized iron calorimeter
(ICAL) at the India-based Neutrino Observatory (INO). The CERN-INO distance is
close to the so-called "magic" baseline which helps evade some of the parameter
degeneracies and allows for a better measurement of the neutrino mass hierarchy
and $\theta_{13}$.
| hep-ph hep-ex | we study the physics reach of an experiment where neutrinos produced in a betabeam facility at cern are observed in a large magnetized iron calorimeter ical at the indiabased neutrino observatory ino the cernino distance is close to the socalled magic baseline which helps evade some of the parameter degeneracies and allows for a better measurement of the neutrino mass hierarchy and theta_13 | [['we', 'study', 'the', 'physics', 'reach', 'of', 'an', 'experiment', 'where', 'neutrinos', 'produced', 'in', 'a', 'betabeam', 'facility', 'at', 'cern', 'are', 'observed', 'in', 'a', 'large', 'magnetized', 'iron', 'calorimeter', 'ical', 'at', 'the', 'indiabased', 'neutrino', 'observatory', 'ino', 'the', 'cernino', 'distance', 'is', 'close', 'to', 'the', 'socalled', 'magic', 'baseline', 'which', 'helps', 'evade', 'some', 'of', 'the', 'parameter', 'degeneracies', 'and', 'allows', 'for', 'a', 'better', 'measurement', 'of', 'the', 'neutrino', 'mass', 'hierarchy', 'and', 'theta_13']] | [-0.0724024455693941, 0.27607664588539327, -0.02556123136873207, 0.18641982546954927, -0.07930398278028494, -0.12675577122718096, 0.04764047311618924, 0.2842013501832562, -0.20353083441694897, -0.3910500103487603, 0.04514228641581271, -0.3558271413768976, 0.04589004810118387, 0.2014063075184822, 0.05899766366177749, 0.06196915825468398, 0.11351319046450718, -0.01399230429782502, -0.12264466970678299, -0.15558160004776814, 0.2758772061957467, 0.263010983407918, 0.2552492405257879, 0.05438444192611402, 0.15184350458965187, -0.10347671923884791, 0.008305056486278772, -0.0601522900734938, -0.08722008120328668, -0.004477673405480962, 0.29612790350051177, 0.13482853752230445, 0.13484155212438875, -0.367359462614742, -0.08483312179845187, 0.1664032070078857, 0.07884880771950609, 0.031697194262843335, -0.055514712547582966, -0.33673410237796847, 0.046376519581122745, -0.22206452509929095, -0.2000633735780514, 0.043876853884167726, -0.106253104750067, -0.04595789498642027, -0.3250829065518995, -0.030010274431157495, -0.06446030405781893, -0.004492680587234997, 0.010777280657484586, -0.17663740117343202, 0.05659607110635167, 0.07698089845718877, 0.07600853031486153, 0.008687623209440179, 0.0654630336174441, -0.1332907081701823, -0.05398716215765284, 0.3997197109725206, -0.03374028735749063, -0.0636845680794889, 0.14928473077053506, -0.2510208623153308, -0.14060812426220265, 0.13714578194964316, 0.21612940707634534, 0.07647639579860674, -0.19243016397400248, 0.09112267908001799, -0.11116216152966503, 0.1799717903317463, 0.06640415941365063, -0.01546072868269778, 0.2981672280528132, 0.32106996893942835, 0.14761215345483394, -0.02837608239403175, -0.22234240976057104, 0.008678050231068365, -0.3532780461283701, -0.12363871395768176, -0.09089382502040075, 0.036193495216373835, -0.018141512060068518, -0.10037517211129589, 0.43037063033590395, 0.16274401347994083, 0.17692688924650993, -0.05376037726396574, 0.23983294355885817, -0.012870341779724244, 0.07382464944009459, -0.01045423939133123, 0.38286677834572225, 0.12362949249725189, 0.17439151924824522, -0.2942350076045841, 0.045343644318035656, 0.07379686805952881] |
707.3368 | 30 GHz flux density measurements of the Caltech-Jodrell flat-spectrum
sources with OCRA-p | To measure the 30-GHz flux densities of the 293 sources in the
Caltech-Jodrell Bank flat-spectrum (CJF) sample. The measurements are part of
an ongoing programme to measure the spectral energy distributions of flat
spectrum radio sources and to correlate them with the milliarcsecond structures
from VLBI and other measured astrophysical properties. The 30-GHz data were
obtained with a twin-beam differencing radiometer system mounted on the Torun
32-m telescope. The system has an angular resolution of 1.2 arcmin. Together
with radio spectral data obtained from the literature, the 30-GHz data have
enabled us to identify 42 of the CJF sources as Giga-hertz Peaked Spectrum
(GPS) sources. Seventeen percent of the sources have rising spectra (alpha > 0)
between 5 and 30 GHz.
| astro-ph | to measure the 30ghz flux densities of the 293 sources in the caltechjodrell bank flatspectrum cjf sample the measurements are part of an ongoing programme to measure the spectral energy distributions of flat spectrum radio sources and to correlate them with the milliarcsecond structures from vlbi and other measured astrophysical properties the 30ghz data were obtained with a twinbeam differencing radiometer system mounted on the torun 32m telescope the system has an angular resolution of 12 arcmin together with radio spectral data obtained from the literature the 30ghz data have enabled us to identify 42 of the cjf sources as gigahertz peaked spectrum gps sources seventeen percent of the sources have rising spectra alpha 0 between 5 and 30 ghz | [['to', 'measure', 'the', '30ghz', 'flux', 'densities', 'of', 'the', '293', 'sources', 'in', 'the', 'caltechjodrell', 'bank', 'flatspectrum', 'cjf', 'sample', 'the', 'measurements', 'are', 'part', 'of', 'an', 'ongoing', 'programme', 'to', 'measure', 'the', 'spectral', 'energy', 'distributions', 'of', 'flat', 'spectrum', 'radio', 'sources', 'and', 'to', 'correlate', 'them', 'with', 'the', 'milliarcsecond', 'structures', 'from', 'vlbi', 'and', 'other', 'measured', 'astrophysical', 'properties', 'the', '30ghz', 'data', 'were', 'obtained', 'with', 'a', 'twinbeam', 'differencing', 'radiometer', 'system', 'mounted', 'on', 'the', 'torun', '32m', 'telescope', 'the', 'system', 'has', 'an', 'angular', 'resolution', 'of', '12', 'arcmin', 'together', 'with', 'radio', 'spectral', 'data', 'obtained', 'from', 'the', 'literature', 'the', '30ghz', 'data', 'have', 'enabled', 'us', 'to', 'identify', '42', 'of', 'the', 'cjf', 'sources', 'as', 'gigahertz', 'peaked', 'spectrum', 'gps', 'sources', 'seventeen', 'percent', 'of', 'the', 'sources', 'have', 'rising', 'spectra', 'alpha', '0', 'between', '5', 'and', '30', 'ghz']] | [-0.07972416646856194, 0.06287042461165887, -0.059186165504312764, 0.02946519412410756, -0.08299175182473846, -0.10184845773425574, 0.04442337586078793, 0.45000689577621716, -0.1415345026180148, -0.413802556572288, 0.14147290105950863, -0.3846032575083276, 0.05196442091449474, 0.2503855629513661, 0.010521185180793206, 0.012365185925348972, 0.0512108094446982, -0.09244001188102023, -0.017107180218833187, -0.15023844927588167, 0.2664591715671122, 0.18304019571902852, 0.2821031939587556, -0.06524706952817118, 0.14534885886726745, -0.11634182124980726, -0.16040860920523603, -0.05592119376330326, -0.0752574758604169, 0.07367687768613299, 0.27873198099356766, 0.1176408246702825, 0.1779827685832667, -0.2956503786541361, -0.17711436337946604, 0.07805855922439757, 0.06561025890987367, -0.011318741474921505, 0.03170623113498247, -0.36096727205440404, 0.06865085201182713, -0.18551397999593366, -0.18322575670123722, 0.0672148931461076, 0.035217902669683096, 0.08463078063214198, -0.14581419917716024, 0.09114222012770673, -0.07088284159544855, 0.10832436052151025, -0.1518933863379061, -0.16683942701395912, -0.03920260956898953, 0.16076925688927682, -0.027812238809807845, 0.05298421879997477, 0.13896592806073993, -0.06942823799230004, -0.1189462018936562, 0.33274940895304705, -0.06969457590021193, -0.029100924629407623, 0.15667822651254634, -0.26044083256274464, -0.21285595636193952, 0.21240625462572402, 0.18113171020910765, 0.08343925730635722, -0.17475296750199049, 0.009598317131652342, 0.024512356077320874, 0.2771215139015112, 0.07532215379566574, 0.12735317881839972, 0.23056513140133272, 0.07597670203637487, 0.053522371589982264, 0.12873358158734238, -0.33766991454200856, 0.03545281298769017, -0.2381214780160614, -0.03281623028063526, -0.15655033320654183, 0.11740025371933976, -0.08501140424402062, -0.08760521464961736, 0.3982071545595924, 0.06906470757482262, 0.17145141527677576, 0.053695836034603414, 0.2715767293780421, 0.06583596572745591, 0.11170721952221356, 0.0912456808766971, 0.29287538984790445, 0.1498297386356474, 0.18596608237130569, -0.14731612756925946, -0.06453483670484275, -0.1042759705024461] |
707.3369 | Collisional Velocities and Rates in Resonant Planetesimal Belts | We consider a belt of small bodies around a star, captured in one of the
external or 1:1 mean-motion resonances with a massive perturber. The objects in
the belt collide with each other. Combining methods of celestial mechanics and
statistical physics, we calculate mean collisional velocities and collisional
rates, averaged over the belt. The results are compared to collisional
velocities and rates in a similar, but non-resonant belt, as predicted by the
particle-in-a-box method. It is found that the effect of the resonant lock on
the velocities is rather small, while on the rates more substantial. The
collisional rates between objects in an external resonance are by about a
factor of two higher than those in a similar belt of objects not locked in a
resonance. For Trojans under the same conditions, the collisional rates may be
enhanced by up to an order of magnitude. Our results imply, in particular,
shorter collisional lifetimes of resonant Kuiper belt objects in the solar
system and higher efficiency of dust production by resonant planetesimals in
debris disks around other stars.
| astro-ph | we consider a belt of small bodies around a star captured in one of the external or 11 meanmotion resonances with a massive perturber the objects in the belt collide with each other combining methods of celestial mechanics and statistical physics we calculate mean collisional velocities and collisional rates averaged over the belt the results are compared to collisional velocities and rates in a similar but nonresonant belt as predicted by the particleinabox method it is found that the effect of the resonant lock on the velocities is rather small while on the rates more substantial the collisional rates between objects in an external resonance are by about a factor of two higher than those in a similar belt of objects not locked in a resonance for trojans under the same conditions the collisional rates may be enhanced by up to an order of magnitude our results imply in particular shorter collisional lifetimes of resonant kuiper belt objects in the solar system and higher efficiency of dust production by resonant planetesimals in debris disks around other stars | [['we', 'consider', 'a', 'belt', 'of', 'small', 'bodies', 'around', 'a', 'star', 'captured', 'in', 'one', 'of', 'the', 'external', 'or', '11', 'meanmotion', 'resonances', 'with', 'a', 'massive', 'perturber', 'the', 'objects', 'in', 'the', 'belt', 'collide', 'with', 'each', 'other', 'combining', 'methods', 'of', 'celestial', 'mechanics', 'and', 'statistical', 'physics', 'we', 'calculate', 'mean', 'collisional', 'velocities', 'and', 'collisional', 'rates', 'averaged', 'over', 'the', 'belt', 'the', 'results', 'are', 'compared', 'to', 'collisional', 'velocities', 'and', 'rates', 'in', 'a', 'similar', 'but', 'nonresonant', 'belt', 'as', 'predicted', 'by', 'the', 'particleinabox', 'method', 'it', 'is', 'found', 'that', 'the', 'effect', 'of', 'the', 'resonant', 'lock', 'on', 'the', 'velocities', 'is', 'rather', 'small', 'while', 'on', 'the', 'rates', 'more', 'substantial', 'the', 'collisional', 'rates', 'between', 'objects', 'in', 'an', 'external', 'resonance', 'are', 'by', 'about', 'a', 'factor', 'of', 'two', 'higher', 'than', 'those', 'in', 'a', 'similar', 'belt', 'of', 'objects', 'not', 'locked', 'in', 'a', 'resonance', 'for', 'trojans', 'under', 'the', 'same', 'conditions', 'the', 'collisional', 'rates', 'may', 'be', 'enhanced', 'by', 'up', 'to', 'an', 'order', 'of', 'magnitude', 'our', 'results', 'imply', 'in', 'particular', 'shorter', 'collisional', 'lifetimes', 'of', 'resonant', 'kuiper', 'belt', 'objects', 'in', 'the', 'solar', 'system', 'and', 'higher', 'efficiency', 'of', 'dust', 'production', 'by', 'resonant', 'planetesimals', 'in', 'debris', 'disks', 'around', 'other', 'stars']] | [-0.10551239924155449, 0.18182626021200513, -0.06370148523105572, 0.09283697999629724, -0.0037790637102904125, -0.035142833635337274, 0.006799075915609713, 0.33895687681049275, -0.19105351009763946, -0.32911051546176107, 0.035285868007810736, -0.2660037568049495, -0.04206372840766726, 0.24556810984330116, -0.09368325723072062, 0.020634695887565613, 0.11176228972341297, 0.007013104988872415, 0.00923813222105073, -0.23123634617517855, 0.2992976657456934, 0.06847640620755022, 0.08741397620573388, -0.019902722943918833, 0.060780501132567895, -0.07148562076910646, 0.012138150071022811, -0.04773465667109368, -0.1594947237078851, 0.09844397382526579, 0.19001731641148611, 0.050332874034684005, 0.24369393904446124, -0.41587438997891496, -0.1934249647103755, 0.049526672469291544, 0.16466815224296208, 0.12531855844926762, -0.019324985443694008, -0.2913190110910179, 0.08599173118844418, -0.2058290185480468, -0.17119869072053392, 0.0306086983757967, 0.06744082108939771, 0.0277232108108231, -0.2586147839724386, 0.11995413987621097, 0.11961621008971232, 0.10686935807346751, -0.15236881212725983, -0.1261873596109776, -0.06541668140397823, 0.06528414586574723, 0.06062060726183666, -0.026594842036943987, 0.2215042928770437, -0.13844218734378194, -0.1065015311926435, 0.4438928259598449, -0.11434471300031297, -0.11899735214514921, 0.2892333862243817, -0.2575973808702271, -0.05242299157560482, 0.22796568929975441, 0.19868449909917715, 0.16848943711424214, -0.1481725215953959, -0.008711393005714494, -0.01608963419109751, 0.15893384403191338, 0.13432918453725887, 0.07733955689427038, 0.2981130452866082, 0.10735269417949442, 0.04165691480179985, 0.10709176400260695, -0.1453856773514006, -0.1281199813110091, -0.20585928264858022, -0.11781365914128215, -0.15004233878611004, -0.007271799153571365, -0.08200864033677516, -0.09447190326815774, 0.30954447181337635, 0.14510993084457235, 0.24113353006646962, 0.006035361849402977, 0.3252520442540405, 0.09666462139736882, 0.130844616250919, 0.11107931428294271, 0.3420883973923612, 0.11941323102067757, 0.06234995802761829, -0.23671572639391164, 0.08149645427284015, -0.01602681559289537] |
707.337 | Weighted Strichartz estimates for radial Schr\"odinger equation on
noncompact manifolds | We prove global weighted Strichartz estimates for radial solutions of linear
Schr\"odinger equation on a class of rotationally symmetric noncompact
manifolds, generalizing the known results on hyperbolic and Damek-Ricci spaces.
This yields classical Strichartz estimates with a larger class of exponents
than in the Euclidian case and improvements for the scattering theory. The
manifolds, whose volume element grows polynomially or exponentially at
infinity, are characterized essentially by negativity conditions on the
curvature, which shows in particular that the rich algebraic structure of the
Hyperbolic and Damek-Ricci spaces is not the cause of the improved dispersive
properties of the equation. The proofs are based on known dispersive results
for the equation with potential on the Euclidean space, and on a new one, valid
for C^1 potentials decaying like 1/r^2 at infinity.
| math.AP | we prove global weighted strichartz estimates for radial solutions of linear schrodinger equation on a class of rotationally symmetric noncompact manifolds generalizing the known results on hyperbolic and damekricci spaces this yields classical strichartz estimates with a larger class of exponents than in the euclidian case and improvements for the scattering theory the manifolds whose volume element grows polynomially or exponentially at infinity are characterized essentially by negativity conditions on the curvature which shows in particular that the rich algebraic structure of the hyperbolic and damekricci spaces is not the cause of the improved dispersive properties of the equation the proofs are based on known dispersive results for the equation with potential on the euclidean space and on a new one valid for c1 potentials decaying like 1r2 at infinity | [['we', 'prove', 'global', 'weighted', 'strichartz', 'estimates', 'for', 'radial', 'solutions', 'of', 'linear', 'schrodinger', 'equation', 'on', 'a', 'class', 'of', 'rotationally', 'symmetric', 'noncompact', 'manifolds', 'generalizing', 'the', 'known', 'results', 'on', 'hyperbolic', 'and', 'damekricci', 'spaces', 'this', 'yields', 'classical', 'strichartz', 'estimates', 'with', 'a', 'larger', 'class', 'of', 'exponents', 'than', 'in', 'the', 'euclidian', 'case', 'and', 'improvements', 'for', 'the', 'scattering', 'theory', 'the', 'manifolds', 'whose', 'volume', 'element', 'grows', 'polynomially', 'or', 'exponentially', 'at', 'infinity', 'are', 'characterized', 'essentially', 'by', 'negativity', 'conditions', 'on', 'the', 'curvature', 'which', 'shows', 'in', 'particular', 'that', 'the', 'rich', 'algebraic', 'structure', 'of', 'the', 'hyperbolic', 'and', 'damekricci', 'spaces', 'is', 'not', 'the', 'cause', 'of', 'the', 'improved', 'dispersive', 'properties', 'of', 'the', 'equation', 'the', 'proofs', 'are', 'based', 'on', 'known', 'dispersive', 'results', 'for', 'the', 'equation', 'with', 'potential', 'on', 'the', 'euclidean', 'space', 'and', 'on', 'a', 'new', 'one', 'valid', 'for', 'c1', 'potentials', 'decaying', 'like', '1r2', 'at', 'infinity']] | [-0.11271857998575657, 0.10686919760460464, -0.08033632934988978, 0.11344362945080949, -0.07927789095466813, -0.14581753950064572, -0.03219925944084445, 0.31349528300522184, -0.2398123956285417, -0.18878360314724538, 0.1517495812373594, -0.33207137091085315, -0.12379481629647601, 0.2619667417423513, -0.04783122052725118, 0.07643322428831688, 0.047023070524804866, 0.08096790308347689, -0.13368349669393725, -0.25068325435993477, 0.42564132530600407, -0.04760037389082404, 0.22791605583893565, 0.06041350670230503, 0.08361760054517967, 0.0032978263576156817, -0.026559637365146327, 0.01678467116905197, -0.1951445360688712, 0.1282319662734293, 0.1763906665916483, 0.018751772867444044, 0.23915977355701706, -0.3898294332652138, -0.24561079745539105, 0.1289602215312278, 0.15891417100882302, 0.07253039373496833, -0.048371262429282066, -0.3365247598446261, 0.05496669665981944, -0.062427487980144525, -0.24421669993406306, -0.0656552925043238, 0.01588022839994385, 0.06578395900388177, -0.25656609818957243, 0.11252968771956288, 0.11393557945266367, 0.019797923990811865, -0.13810550774125238, -0.10711271342230387, -0.02454638699642741, 0.044260337284336294, 0.024430521502822208, 0.02880910597741604, 0.045500148005353715, -0.07238389830499027, -0.07573039108672394, 0.34467571907891675, -0.09946231475836471, -0.2887191703113226, 0.1623409586116815, -0.1705883052916481, -0.11940369189609415, 0.12721094878462072, 0.17633082795744906, 0.1662295140272293, -0.053103401261614634, 0.16844816121022002, -0.03658429754611391, 0.11584942396998835, 0.09612326446490792, 0.07243633879339681, 0.06702070052807148, 0.10828179211821407, 0.16603987316171137, 0.10721571548582198, 0.0002784536430576386, -0.12255884029526407, -0.3534921797064061, -0.14529800561274617, -0.19175247865764855, 0.10883470642069229, -0.16603852060865254, -0.22057743820433434, 0.36866315741880007, 0.007760523848432618, 0.15660248069235913, 0.15501359686559926, 0.22259634174048326, 0.10876424406171561, 0.07375702783465385, 0.10622388420698162, 0.22442841345193582, 0.1608056322617743, 0.11012899842149076, -0.17954184950795024, 0.013645476133276064, 0.1845265978983102] |
707.3371 | Approximation by Several Rationals | Following T. H. Chan, we consider the problem of approximation of a given
rational fraction a/q by sums of several rational fractions a_1/q_1, ...,
a_n/q_n with smaller denominators. We show that in the special cases of n=3 and
n=4 and certain admissible ranges for the denominators q_1,..., q_n, one can
improve a result of T. H. Chan by using a different approach.
| math.NT | following t h chan we consider the problem of approximation of a given rational fraction aq by sums of several rational fractions a_1q_1 a_nq_n with smaller denominators we show that in the special cases of n3 and n4 and certain admissible ranges for the denominators q_1 q_n one can improve a result of t h chan by using a different approach | [['following', 't', 'h', 'chan', 'we', 'consider', 'the', 'problem', 'of', 'approximation', 'of', 'a', 'given', 'rational', 'fraction', 'aq', 'by', 'sums', 'of', 'several', 'rational', 'fractions', 'a_1q_1', 'a_nq_n', 'with', 'smaller', 'denominators', 'we', 'show', 'that', 'in', 'the', 'special', 'cases', 'of', 'n3', 'and', 'n4', 'and', 'certain', 'admissible', 'ranges', 'for', 'the', 'denominators', 'q_1', 'q_n', 'one', 'can', 'improve', 'a', 'result', 'of', 't', 'h', 'chan', 'by', 'using', 'a', 'different', 'approach']] | [-0.18368734062207326, 0.1431746046863875, -0.02562751000652374, 0.007611263882747646, -0.008202181560760838, -0.14470048167474442, 0.10779349556413748, 0.31004030623678436, -0.2549868971819721, -0.28613242472253614, 0.04288759820313209, -0.25625770501555656, -0.12068090802532132, 0.18259485261672634, -0.0640916694587065, 0.057836770743005354, 0.04064271199690588, 0.039034445028183824, -0.08353745457084881, -0.35503852131808084, 0.29776915529016723, -0.08102773616121987, 0.1311655861436058, 0.017782038271573167, 0.0885515744261191, 0.05304278079736031, 0.0041074579407981895, 0.01901749273491663, -0.1950304545862926, 0.10741056889192975, 0.24820670470895279, 0.12626954432087556, 0.2866473088703923, -0.35039996418912533, -0.1474941952639433, 0.15753278099158305, 0.1780154847113763, -0.016497860591606062, 0.0026777517129430327, -0.15793124845219872, 0.10127620295211041, -0.19760782918813874, -0.13347517130738598, -0.06078282294605496, 0.09545561983802561, 0.07806603065928665, -0.33039962831821484, 0.06006822510133103, 0.1073383365331565, 0.04737392588423849, -0.02599773377622083, -0.21680574176706752, -0.02683601705199581, 0.0697852505797173, 0.014240631366038096, 0.04797595122166104, 0.03592259697300398, -0.13678234742985942, -0.1198672244672553, 0.35453751266507777, -0.0564579135063499, -0.2113389371878515, 0.10437932954627578, -0.22811181238710376, -0.20631613476612307, 0.1527836309623573, 0.10419995102131645, 0.2073505249474261, -0.010806171776000725, 0.17572730144888352, -0.11100227342547565, 0.07076456193354423, 0.1946286087129581, -0.027212465085262844, 0.08997346433984527, 0.012079191749315646, 0.04668505705490519, 0.18974899188062902, -0.002029180874006223, -0.006364685791086847, -0.32042774754394854, -0.14033118065572897, -0.1458023154350408, 0.08001092008425523, -0.137188933260435, -0.10377966352912077, 0.32489502085057104, 0.060786200474190005, 0.27288021921511674, 0.10038584199244693, 0.19450600277948177, 0.15226418735514693, -0.001885795776369208, 0.0394064739930554, 0.13752517176760456, 0.16083853926225486, 0.009759904483285875, -0.20045594889986312, 0.015437384933170121, 0.17685188503020396] |
707.3372 | Collins fragmentation function for pions and kaons in a spectator model | We calculate the Collins fragmentation function in the framework of a
spectator model with pseudoscalar pion-quark coupling and a Gaussian form
factor at the vertex. We determine the model parameters by fitting the
unpolarized fragmentation function for pions and kaons. We show that the
Collins function for the pions in this model is in reasonable agreement with
recent parametrizations obtained by fits of the available data. In addition, we
compute for the first time the Collins function for the kaons.
| hep-ph | we calculate the collins fragmentation function in the framework of a spectator model with pseudoscalar pionquark coupling and a gaussian form factor at the vertex we determine the model parameters by fitting the unpolarized fragmentation function for pions and kaons we show that the collins function for the pions in this model is in reasonable agreement with recent parametrizations obtained by fits of the available data in addition we compute for the first time the collins function for the kaons | [['we', 'calculate', 'the', 'collins', 'fragmentation', 'function', 'in', 'the', 'framework', 'of', 'a', 'spectator', 'model', 'with', 'pseudoscalar', 'pionquark', 'coupling', 'and', 'a', 'gaussian', 'form', 'factor', 'at', 'the', 'vertex', 'we', 'determine', 'the', 'model', 'parameters', 'by', 'fitting', 'the', 'unpolarized', 'fragmentation', 'function', 'for', 'pions', 'and', 'kaons', 'we', 'show', 'that', 'the', 'collins', 'function', 'for', 'the', 'pions', 'in', 'this', 'model', 'is', 'in', 'reasonable', 'agreement', 'with', 'recent', 'parametrizations', 'obtained', 'by', 'fits', 'of', 'the', 'available', 'data', 'in', 'addition', 'we', 'compute', 'for', 'the', 'first', 'time', 'the', 'collins', 'function', 'for', 'the', 'kaons']] | [-0.014331387309357523, 0.1769581107175327, -0.13909972136025317, 0.13345852624624968, 0.006460209348006174, -0.06576832574501168, 0.010371353209484369, 0.3756410425528884, -0.17987275420455262, -0.2463161543942988, -0.08609889320214278, -0.3006823307834566, -0.05751658293884247, 0.12358934532094282, 0.0872986008762382, 0.09918310125358402, 0.053629889282456135, -0.017025924404151738, -0.05862959320365917, -0.19989019932691007, 0.3795915213529952, 0.03417624332942069, 0.21444086199917364, 0.13643987805116922, 0.05412908661091933, 0.11230344966170377, -0.08524421988404356, -0.04699624242493883, -0.1772389882627067, 0.037064248690148814, 0.17107780210208148, 0.10834636746440082, 0.1420114104577806, -0.3492395184235647, -0.16834345545212273, 0.10277163432328962, 0.1039847954758443, 0.11995349514036206, -0.03892961152887438, -0.2241813864093274, 0.030817239871248604, -0.23790820589056239, -0.14442185843363403, -0.1264413304394111, 0.00706553696654737, 0.024215648183599114, -0.39833515852224083, 0.10217018122784793, -0.027069387619849294, -0.003049266367452219, -0.08497656423132867, -0.2213310324586928, 0.010289825740619563, 0.0655196181847714, 0.0792525781711447, 0.1515841654909309, 0.09175846177968197, -0.21022550318448338, -0.1127712956542382, 0.3596478260587901, -0.10978802647441625, -0.21550310736056416, 0.056284535909071565, -0.20714073842391373, -0.14383056260412558, 0.09627550784498454, 0.19637613147497177, 0.10109217267017812, -0.20496349846944212, 0.07343382922554156, -0.09366924699861556, 0.14706407194025814, 0.0865074944216758, -0.034237822274099015, 0.14198984386166558, 0.144012746255612, -0.04367955534253269, 0.1387173358350992, -0.07233833721838892, -0.07077057518763467, -0.37082496187649666, -0.1087117574410513, -0.14545849453133997, 0.011648318206425756, -0.10133111226568872, -0.09137914165621623, 0.43104850557574537, 0.09131852949503809, 0.27056221588063634, 0.08298683889443055, 0.3377261851914227, 0.12612442586105316, 0.0849939352599904, 0.09139041809248738, 0.2534042316139676, 0.1307891990581993, 0.1253747888840735, -0.23639253720757553, 0.08504179046867648, 0.047192451666342096] |
707.3373 | How Much Work Does It Take To Straighten a Plane Graph Out? | We prove that if one wants to make a plane graph drawing straight-line then
in the worst case one has to move almost all vertices.
| math.CO | we prove that if one wants to make a plane graph drawing straightline then in the worst case one has to move almost all vertices | [['we', 'prove', 'that', 'if', 'one', 'wants', 'to', 'make', 'a', 'plane', 'graph', 'drawing', 'straightline', 'then', 'in', 'the', 'worst', 'case', 'one', 'has', 'to', 'move', 'almost', 'all', 'vertices']] | [-0.12131377585232257, 0.05680107772350311, -0.09306853607296944, 0.0296027784794569, -0.1962508656643331, -0.24212376041337846, 0.07368834137916565, 0.4498267078399658, -0.3085841198638082, -0.22962498445063828, 0.04646840266417712, -0.43107242703437804, -0.1199424346536398, 0.08688843674957752, -0.11625493165105581, -0.001861665602773428, 0.13528165616095067, 0.14840205997228623, 0.04717985862866044, -0.36824160857708194, 0.25511967569589616, -0.09779116325080395, 0.15203919161111115, 0.02549223355948925, 0.07788619108498096, 0.09580716924741864, 0.09031956024467945, 0.07443085208535194, -0.1664358251277008, 0.007486486509442329, 0.30312935188412665, 0.18806852475740016, 0.25732541784644125, -0.46242205349728466, -0.11314924910664559, 0.2922190684825182, 0.16226027362048626, 0.1107272372301668, 0.035834796382114294, -0.1062283146288246, 0.14587980017066002, -0.07609211996197701, -0.1541543522849679, 0.0763957680389285, 0.079646349940449, -0.044439122322946785, -0.22434618525207042, -0.1615036867558956, 0.0949560772627592, -0.050742809623479844, 0.1271814427524805, -0.0670102683827281, -0.11383885413408279, 0.20031295964494347, 0.0347347142547369, 0.16565706288442017, 0.04160576140508056, -0.08804080564528703, -0.1448528329282999, 0.4309081560373306, 0.014195984452962876, -0.2274167232774198, 0.12027548909187318, -0.24486377477645874, -0.21642952263355256, 0.07211389318108559, 0.13160754967480898, 0.11489827536046505, -0.08292318487539888, 0.09371729832142592, -0.11280238807201386, 0.15221365433186293, 0.19742938086390496, -0.0814082090370357, 0.12776668429374693, 0.09524220123887062, 0.2591435305401683, 0.20572101190686226, -0.004902578145265579, -0.06937565358355641, -0.24838590316474438, -0.1536738108843565, -0.17680349620990454, 0.0631328659504652, -0.09740252140909433, -0.20543323878198863, 0.383128828369081, 0.16424143694341184, 0.23169820852577686, 0.10226119451224804, 0.3320400185883045, 0.03813434198498726, 0.006131959073245525, 0.23640111990273, 0.22595973446965217, 0.0616654632659629, -0.04297087348997593, -0.025082786064594985, 0.04819784208200872, 0.1364724288508296] |
707.3374 | Decomposition driven interface evolution for layers of binary mixtures:
I. Model derivation and stratified base states | A dynamical model is proposed to describe the coupled decomposition and
profile evolution of a free surface film of a binary mixture. An example is a
thin film of a polymer blend on a solid substrate undergoing simultaneous phase
separation and dewetting. The model is based on model-H describing the coupled
transport of the mass of one component (convective Cahn-Hilliard equation) and
momentum (Navier-Stokes-Korteweg equations) supplemented by appropriate
boundary conditions at the solid substrate and the free surface.
General transport equations are derived using phenomenological
non-equilibrium thermodynamics for a general non-isothermal setting taking into
account Soret and Dufour effects and interfacial viscosity for the internal
diffuse interface between the two components. Focusing on an isothermal setting
the resulting model is compared to literature results and its base states
corresponding to homogeneous or vertically stratified flat layers are analysed.
| physics.flu-dyn | a dynamical model is proposed to describe the coupled decomposition and profile evolution of a free surface film of a binary mixture an example is a thin film of a polymer blend on a solid substrate undergoing simultaneous phase separation and dewetting the model is based on modelh describing the coupled transport of the mass of one component convective cahnhilliard equation and momentum navierstokeskorteweg equations supplemented by appropriate boundary conditions at the solid substrate and the free surface general transport equations are derived using phenomenological nonequilibrium thermodynamics for a general nonisothermal setting taking into account soret and dufour effects and interfacial viscosity for the internal diffuse interface between the two components focusing on an isothermal setting the resulting model is compared to literature results and its base states corresponding to homogeneous or vertically stratified flat layers are analysed | [['a', 'dynamical', 'model', 'is', 'proposed', 'to', 'describe', 'the', 'coupled', 'decomposition', 'and', 'profile', 'evolution', 'of', 'a', 'free', 'surface', 'film', 'of', 'a', 'binary', 'mixture', 'an', 'example', 'is', 'a', 'thin', 'film', 'of', 'a', 'polymer', 'blend', 'on', 'a', 'solid', 'substrate', 'undergoing', 'simultaneous', 'phase', 'separation', 'and', 'dewetting', 'the', 'model', 'is', 'based', 'on', 'modelh', 'describing', 'the', 'coupled', 'transport', 'of', 'the', 'mass', 'of', 'one', 'component', 'convective', 'cahnhilliard', 'equation', 'and', 'momentum', 'navierstokeskorteweg', 'equations', 'supplemented', 'by', 'appropriate', 'boundary', 'conditions', 'at', 'the', 'solid', 'substrate', 'and', 'the', 'free', 'surface', 'general', 'transport', 'equations', 'are', 'derived', 'using', 'phenomenological', 'nonequilibrium', 'thermodynamics', 'for', 'a', 'general', 'nonisothermal', 'setting', 'taking', 'into', 'account', 'soret', 'and', 'dufour', 'effects', 'and', 'interfacial', 'viscosity', 'for', 'the', 'internal', 'diffuse', 'interface', 'between', 'the', 'two', 'components', 'focusing', 'on', 'an', 'isothermal', 'setting', 'the', 'resulting', 'model', 'is', 'compared', 'to', 'literature', 'results', 'and', 'its', 'base', 'states', 'corresponding', 'to', 'homogeneous', 'or', 'vertically', 'stratified', 'flat', 'layers', 'are', 'analysed']] | [-0.12503101419059248, 0.1541041171335, -0.10088651769039948, 0.008733423328176684, -0.05747163803044734, -0.14951357055526826, -0.005763649287885123, 0.32828303619566623, -0.2746148353075459, -0.2669382851297226, 0.09024306158297253, -0.26454462051174066, -0.07851572973606089, 0.16757195690361254, 0.008912567124042634, 0.04608263956326787, 0.030322102515407613, -0.0660203855763441, -0.0660534876714848, -0.1541799111903584, 0.34722264676803494, 0.010564311883364716, 0.28906032670608783, 0.045193952198962876, 0.12576120568398577, -0.008713131098341821, 0.00695057794873188, 0.06328728261750437, -0.1976645555156861, 0.06065842461131554, 0.17233705145891512, -0.05485977658009442, 0.18788352832334101, -0.49260036867574186, -0.29741253934963774, -0.005567480786193679, 0.08624302834972576, 0.11286747675851314, -0.04297254367622744, -0.23953286097232035, 0.009868111175886035, -0.15310267029996336, -0.1342750971926118, -0.012630005856554438, -0.005766911625889314, 7.361884358046698e-05, -0.2724197592410381, 0.12321781961036588, 0.08176347485745163, 0.045481727211047845, -0.16553578246469833, -0.09952894124596713, -0.12438104418276326, 0.07793970097597334, 0.020631983921264918, -0.00032733330149611417, 0.19010371105901788, -0.12888955268804936, 0.006499623648659156, 0.383970408843164, -0.09010932338509002, -0.24195881682638432, 0.22888494757034672, -0.08212273127746082, -0.03942633943333134, 0.15351865784244706, 0.1812725624742571, 0.13041030406190532, -0.19052625500875778, 0.06748572742289449, -0.021428784578154884, 0.18414774930009442, 0.05534266668412644, -0.07701294290591847, 0.22689202198772318, 0.2310303833869279, 0.012414790810131294, 0.16223526854632273, -0.08908021884773226, -0.15989225582104094, -0.2847138989553617, -0.18336741460052175, -0.1360350900183493, 0.035965851596454636, -0.10526596050444789, -0.21995955111499685, 0.3443867560326509, 0.05519989292803526, 0.1490397016997075, -0.001624035196936261, 0.2845065023747517, 0.12936552252321348, -0.008384940079345374, 0.05535652565287195, 0.2331241310173034, 0.23242990396080715, 0.09884011939375739, -0.2566894722055562, 0.06962299066507359, 0.0847219105259291] |
707.3375 | Towards a nonlinear Schwarz's list | This is basically the text of a survey talk (entitled 'Painleve, Klein and
the icosahedron') given at Hitchin's 60th birthday conference. It discusses the
search for and construction of algebraic solutions of the sixth Painleve
differential equation, which may be viewed as a nonlinear analogue of the Gauss
hypergeometric equation. Both algebraic and transcendental methods are used and
the story involves affine Weyl groups, braid groups and cubic surfaces. Some
emphasis is given to the interpretation of the sixth Painleve equation as the
explicit form of the simplest nonabelian Gauss-Manin connection, i.e. as a
nonlinear differential equation 'coming from geometry', much as Picard-Fuchs
equations arise in the case of cohomology with abelian coefficients.
| math.CA math.AG nlin.SI | this is basically the text of a survey talk entitled painleve klein and the icosahedron given at hitchins 60th birthday conference it discusses the search for and construction of algebraic solutions of the sixth painleve differential equation which may be viewed as a nonlinear analogue of the gauss hypergeometric equation both algebraic and transcendental methods are used and the story involves affine weyl groups braid groups and cubic surfaces some emphasis is given to the interpretation of the sixth painleve equation as the explicit form of the simplest nonabelian gaussmanin connection ie as a nonlinear differential equation coming from geometry much as picardfuchs equations arise in the case of cohomology with abelian coefficients | [['this', 'is', 'basically', 'the', 'text', 'of', 'a', 'survey', 'talk', 'entitled', 'painleve', 'klein', 'and', 'the', 'icosahedron', 'given', 'at', 'hitchins', '60th', 'birthday', 'conference', 'it', 'discusses', 'the', 'search', 'for', 'and', 'construction', 'of', 'algebraic', 'solutions', 'of', 'the', 'sixth', 'painleve', 'differential', 'equation', 'which', 'may', 'be', 'viewed', 'as', 'a', 'nonlinear', 'analogue', 'of', 'the', 'gauss', 'hypergeometric', 'equation', 'both', 'algebraic', 'and', 'transcendental', 'methods', 'are', 'used', 'and', 'the', 'story', 'involves', 'affine', 'weyl', 'groups', 'braid', 'groups', 'and', 'cubic', 'surfaces', 'some', 'emphasis', 'is', 'given', 'to', 'the', 'interpretation', 'of', 'the', 'sixth', 'painleve', 'equation', 'as', 'the', 'explicit', 'form', 'of', 'the', 'simplest', 'nonabelian', 'gaussmanin', 'connection', 'ie', 'as', 'a', 'nonlinear', 'differential', 'equation', 'coming', 'from', 'geometry', 'much', 'as', 'picardfuchs', 'equations', 'arise', 'in', 'the', 'case', 'of', 'cohomology', 'with', 'abelian', 'coefficients']] | [-0.18939858968410872, -0.005233107901186542, -0.1109873794587906, 0.09019850428624128, -0.22176311437073534, -0.17865673082147157, -0.0464365460036273, 0.19534170408362309, -0.31027431004738387, -0.27151260523339815, 0.13261624175408213, -0.3084783539777638, -0.20284313878215246, 0.21553709826728873, -0.08657620005635133, 0.02058960546702891, 0.00811734102229563, 0.09523206995594093, -0.12521651194562755, -0.32314739293064426, 0.3945975281314644, -0.02952052077558716, 0.2040922484212283, 4.747246425038418e-05, 0.15468753232678348, -0.02110071296070134, -0.06846856100863852, -0.08298079208759344, -0.11353791354273536, 0.09731478284451023, 0.3430165809463808, 0.06020727588803367, 0.16665242670054456, -0.39177019313900874, -0.12231836564178512, 0.09647106307566958, 0.13896548131427242, 0.10153128084854379, -0.030011209951862034, -0.3290043746520955, -0.02675599797702996, -0.1703243768337158, -0.22091096135235466, -0.04107471837546775, 0.037819433841953236, 0.07556201295053537, -0.14147415076407183, 0.07428724176159739, 0.0864198721937044, 0.10294970806556202, -0.03641256694970405, -0.11960120909369296, -0.05789491690002975, 0.024170914343434626, 0.03400632178522152, 0.01878095114916827, 0.022725298601013105, -0.16455764423404712, -0.11656343340626464, 0.45866289774401, -0.04560886745431782, -0.2121873133139998, 0.07618983408057056, -0.1182539930023187, -0.1696138147231752, 0.13514118527157018, 0.13574274836635564, 0.1412810154889702, -0.10550354568666853, 0.1745603708936668, -0.061028272115452364, 0.10139484326478786, 0.13985029608423336, -0.05395205045300248, 0.15100965072788233, 0.07032231502729443, -0.0015891450271834579, 0.10779225619291409, 0.032484698645045273, -0.13114134983810705, -0.3917175309023762, -0.23192678988871032, -0.11332310974714861, 0.14251636110443985, -0.0672676021708907, -0.1908646754186963, 0.4054696094059278, 0.04650956822200719, 0.11865593877258356, 0.04464588445339319, 0.18220274562461186, 0.16155442388406832, -0.000609056117524088, -0.020540299841853897, 0.13852391363275074, 0.23812516543816412, 0.1196173076081065, -0.18599778761885302, -0.022506234378232497, 0.27223274333451963] |
707.3376 | On the onset of galactic winds in quiescent star forming galaxies | We studied the effect of supernovae feedback on a disk galaxy, taking into
account the impact of infalling gas on both the star formation history and the
corresponding outflow structure, the apparition of a supernovae-driven wind
being highly sensitive to the halo mass, the galaxy spin and the star formation
efficiency. We model our galaxies as cooling and collapsing NFW spheres. The
dark matter component is modelled as a static external potential, while the
baryon component is described by the Euler equations using the AMR code RAMSES.
Metal-dependent cooling and supernovae-heating are also implemented using
state-of-the-art recipes coming from cosmological simulations. We allow for 3
parameters to vary: the halo circular velocity, the spin parameter and the star
formation efficiency. We found that the ram pressure of infalling material is
the key factor limiting the apparition of galactic winds. We obtain a very low
feedback efficiency, with supernovae to wind energy conversion factor around
one percent, so that only low cicrular velocity galaxies give rise to strong
winds. For massive galaxies, we obtain a galatic fountain, for which we discuss
the observational properties. We conclude that for quiescent isolated galaxies,
galactic winds appear only in very low mass systems. Although that can quite
efficiently enrich the IGM with metals, they don't carry away enough cold
material to solve the overcooling problem.
| astro-ph | we studied the effect of supernovae feedback on a disk galaxy taking into account the impact of infalling gas on both the star formation history and the corresponding outflow structure the apparition of a supernovaedriven wind being highly sensitive to the halo mass the galaxy spin and the star formation efficiency we model our galaxies as cooling and collapsing nfw spheres the dark matter component is modelled as a static external potential while the baryon component is described by the euler equations using the amr code ramses metaldependent cooling and supernovaeheating are also implemented using stateoftheart recipes coming from cosmological simulations we allow for 3 parameters to vary the halo circular velocity the spin parameter and the star formation efficiency we found that the ram pressure of infalling material is the key factor limiting the apparition of galactic winds we obtain a very low feedback efficiency with supernovae to wind energy conversion factor around one percent so that only low cicrular velocity galaxies give rise to strong winds for massive galaxies we obtain a galatic fountain for which we discuss the observational properties we conclude that for quiescent isolated galaxies galactic winds appear only in very low mass systems although that can quite efficiently enrich the igm with metals they dont carry away enough cold material to solve the overcooling problem | [['we', 'studied', 'the', 'effect', 'of', 'supernovae', 'feedback', 'on', 'a', 'disk', 'galaxy', 'taking', 'into', 'account', 'the', 'impact', 'of', 'infalling', 'gas', 'on', 'both', 'the', 'star', 'formation', 'history', 'and', 'the', 'corresponding', 'outflow', 'structure', 'the', 'apparition', 'of', 'a', 'supernovaedriven', 'wind', 'being', 'highly', 'sensitive', 'to', 'the', 'halo', 'mass', 'the', 'galaxy', 'spin', 'and', 'the', 'star', 'formation', 'efficiency', 'we', 'model', 'our', 'galaxies', 'as', 'cooling', 'and', 'collapsing', 'nfw', 'spheres', 'the', 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707.3377 | One-loop corrections to a scalar field during inflation | The leading quantum correction to the power spectrum of a
gravitationally-coupled light scalar field is calculated, assuming that it is
generated during a phase of single-field, slow-roll inflation.
| astro-ph gr-qc hep-th | the leading quantum correction to the power spectrum of a gravitationallycoupled light scalar field is calculated assuming that it is generated during a phase of singlefield slowroll inflation | [['the', 'leading', 'quantum', 'correction', 'to', 'the', 'power', 'spectrum', 'of', 'a', 'gravitationallycoupled', 'light', 'scalar', 'field', 'is', 'calculated', 'assuming', 'that', 'it', 'is', 'generated', 'during', 'a', 'phase', 'of', 'singlefield', 'slowroll', 'inflation']] | [-0.18318414277330572, 0.2385216706565448, -0.1740742830027427, 0.09179734156766374, -0.05534427134054048, -0.17895468380967422, -0.04950297270469101, 0.28626618321452824, -0.21075482919280017, -0.26060413496036616, 0.03139659549508776, -0.21247509813734464, -0.12452015719775643, 0.19710719691855566, -0.021018989849835634, 0.04209900702283319, 0.018025956844212487, 0.06455740545477186, 0.002204487773789359, -0.25297609749915345, 0.3064217037920441, 0.10118342428385015, 0.20227059070020914, -0.012134221232762294, 0.065241578284518, -0.0787718014991177, 0.04255966506233173, -0.026019518529730185, -0.08467051707105254, 0.033722064341418445, 0.12297375500202179, 0.11662025989166327, 0.18637323998180882, -0.35786994160818203, -0.29493216957364765, 0.21423891253237212, 0.06387943947421652, 0.1520006123298247, -0.04108031100726554, -0.2283553280535021, 0.09968769487126597, -0.19460103288292885, -0.09770974423736334, -0.07564599146800381, -0.018057638658709557, -0.13111924780033796, -0.3745460201254381, 0.09078736889309116, -0.015136023284867406, -0.012214871788663524, 0.0003240532906992095, 0.019833351003139148, -0.06570844363886863, 0.014243188546970487, 0.13442736035878106, 0.07702773470165473, 0.17723216475652798, -0.20156976055087789, -0.02993501826339135, 0.43922291563025545, -0.16941821881170785, -0.0463024860780154, -0.029161549572433745, -0.14816435489670507, -0.08884939604571887, 0.15453933239249246, 0.07169795264157333, 0.07980232229913652, -0.10968559365054327, 0.1855324366728642, 0.11791347492752331, 0.1965836853570571, 0.10300825276811208, 0.019915310283457593, 0.3017457019803779, 0.06543196351932627, -0.020574061532637904, 0.1468379233098988, -0.066955642575132, -0.18488493774618422, -0.406954749587125, -0.08424463262781501, -0.21655721446898366, 0.07779774202832154, -0.14845794016894484, -0.2282596959599427, 0.5101153012365103, 0.09928699576994404, 0.14857139990531973, 0.05282815206529839, 0.33990733245653765, 0.18970520189031959, 0.04543334624863097, 0.07215505578954305, 0.37753269262611866, 0.1671144696967011, 0.1561586886112179, -0.2295182456728071, -0.0662129252284233, 0.0347441989995007] |
707.3378 | One-loop corrections to the curvature perturbation from inflation | An estimate of the one-loop correction to the power spectrum of the
primordial curvature perturbation is given, assuming it is generated during a
phase of single-field, slow-roll inflation. The loop correction splits into two
parts, which can be calculated separately: a purely quantum-mechanical
contribution which is generated from the interference among quantized field
modes around the time when they cross the horizon, and a classical contribution
which comes from integrating the effect of field modes which have already
passed far beyond the horizon. The loop correction contains logarithms which
may invalidate the use of naive perturbation theory for cosmic microwave
background (CMB) predictions when the scale associated with the CMB is
exponentially different from the scale at which the fundamental theory which
governs inflation is formulated.
| astro-ph gr-qc hep-th | an estimate of the oneloop correction to the power spectrum of the primordial curvature perturbation is given assuming it is generated during a phase of singlefield slowroll inflation the loop correction splits into two parts which can be calculated separately a purely quantummechanical contribution which is generated from the interference among quantized field modes around the time when they cross the horizon and a classical contribution which comes from integrating the effect of field modes which have already passed far beyond the horizon the loop correction contains logarithms which may invalidate the use of naive perturbation theory for cosmic microwave background cmb predictions when the scale associated with the cmb is exponentially different from the scale at which the fundamental theory which governs inflation is formulated | [['an', 'estimate', 'of', 'the', 'oneloop', 'correction', 'to', 'the', 'power', 'spectrum', 'of', 'the', 'primordial', 'curvature', 'perturbation', 'is', 'given', 'assuming', 'it', 'is', 'generated', 'during', 'a', 'phase', 'of', 'singlefield', 'slowroll', 'inflation', 'the', 'loop', 'correction', 'splits', 'into', 'two', 'parts', 'which', 'can', 'be', 'calculated', 'separately', 'a', 'purely', 'quantummechanical', 'contribution', 'which', 'is', 'generated', 'from', 'the', 'interference', 'among', 'quantized', 'field', 'modes', 'around', 'the', 'time', 'when', 'they', 'cross', 'the', 'horizon', 'and', 'a', 'classical', 'contribution', 'which', 'comes', 'from', 'integrating', 'the', 'effect', 'of', 'field', 'modes', 'which', 'have', 'already', 'passed', 'far', 'beyond', 'the', 'horizon', 'the', 'loop', 'correction', 'contains', 'logarithms', 'which', 'may', 'invalidate', 'the', 'use', 'of', 'naive', 'perturbation', 'theory', 'for', 'cosmic', 'microwave', 'background', 'cmb', 'predictions', 'when', 'the', 'scale', 'associated', 'with', 'the', 'cmb', 'is', 'exponentially', 'different', 'from', 'the', 'scale', 'at', 'which', 'the', 'fundamental', 'theory', 'which', 'governs', 'inflation', 'is', 'formulated']] | [-0.13460904797391285, 0.18820522708454748, -0.13816211794296074, 0.09913718305058807, -0.06047667298347704, -0.10704498848183051, -0.038683104371312, 0.2521021794527769, -0.28920126151263953, -0.2706574178079054, 0.08115259483770748, -0.3033533668707287, -0.10295983753767649, 0.1805599600313202, 0.009125166846114018, -0.0031183549712988593, 0.01484980723092569, 0.07790961475776774, -0.0010755057714598637, -0.22246732608422579, 0.34119740061254966, 0.13476464472385863, 0.2577004128815754, 0.021571286307233904, 0.0860291535648266, -0.03721194883017608, -0.04223953485341063, 0.04142975275005613, -0.06569906518912859, 0.05357170854103825, 0.1902507852230753, 0.09291819366135604, 0.21360989887681273, -0.42369734010444804, -0.23426664167172498, 0.12116992143204525, 0.14508448626166062, 0.16564346134888067, 0.007062036359298324, -0.26192243583500385, 0.06947427880137212, -0.15683837803376335, -0.07978077163358056, -0.03617810300507006, -0.02944359170561213, -0.11272429751550099, -0.2835169397368436, 0.08281481490352206, 0.020730703363254194, -0.0037422897737650644, -0.029611797936792885, -0.07797798034661109, -0.028285811913924083, 0.12107388126628754, 0.11671211465681341, 0.05492655802167035, 0.1663477129556076, -0.1428371241280628, -0.07482691359011427, 0.3920263810940678, -0.10826752662274336, -0.1214158903467395, 0.07000880831822989, -0.16749413234610405, -0.10834292522520714, 0.16358735980761666, 0.11765766011861463, 0.08188111560478334, -0.12271538743909101, 0.16545244559806416, 0.07872585632786569, 0.17599016092237205, 0.1091626160110565, 0.029406171705987718, 0.30347421548757997, 0.06453470733489781, 0.0347812382249339, 0.11161273601742107, -0.09022036512679835, -0.14503199399064576, -0.4043311131896362, -0.050076568735733865, -0.1775644128580415, 0.06220363178807828, -0.11332441208547347, -0.21397270888851452, 0.41208091011318926, 0.13442145566140035, 0.19057933847966885, 0.061175075857641384, 0.35723859739179414, 0.1788664989326785, 0.11661424614592558, 0.06177331495749217, 0.34514060263828716, 0.13268253115367973, 0.07272048494482916, -0.22352932027119787, -0.008900736114897188, 0.06610947771973553] |
707.3379 | The ratio of sigma_L/sigma_T in DIS at low x | Assuming helicity independence for q-qbar scattering in the color-dipole
picture, or, equivalently proportionality of sea quark and gluon distributions,
we find R(W^2,Q^2) = 0.5 (approximately) at large Q^2, where R(W^2,Q^2) denotes
the ratio of the longitudinal and transverse photoabsorption cross sections.
The forthcoming direct measurements of R(W^2,Q^2) allow one to test the
underlying hypotheses.
| hep-ph | assuming helicity independence for qqbar scattering in the colordipole picture or equivalently proportionality of sea quark and gluon distributions we find rw2q2 05 approximately at large q2 where rw2q2 denotes the ratio of the longitudinal and transverse photoabsorption cross sections the forthcoming direct measurements of rw2q2 allow one to test the underlying hypotheses | [['assuming', 'helicity', 'independence', 'for', 'qqbar', 'scattering', 'in', 'the', 'colordipole', 'picture', 'or', 'equivalently', 'proportionality', 'of', 'sea', 'quark', 'and', 'gluon', 'distributions', 'we', 'find', 'rw2q2', '05', 'approximately', 'at', 'large', 'q2', 'where', 'rw2q2', 'denotes', 'the', 'ratio', 'of', 'the', 'longitudinal', 'and', 'transverse', 'photoabsorption', 'cross', 'sections', 'the', 'forthcoming', 'direct', 'measurements', 'of', 'rw2q2', 'allow', 'one', 'to', 'test', 'the', 'underlying', 'hypotheses']] | [-0.09098701088640944, 0.23372345619817386, -0.07633758024400417, 0.16220897049555238, -0.013502892317636957, -0.07101434311073906, 0.03391495586113723, 0.306572722306229, -0.18784725929628004, -0.2632470908662621, -0.056163564906455576, -0.31462403636355446, 0.05749803870687929, 0.11047133505959415, 0.10811962589691833, 0.08208106155946569, 0.05977828050348556, 0.0018424057392930648, -0.05163419905628236, -0.1880588135067022, 0.3389937589472195, 0.025319322003578802, 0.2797273235957859, 0.1821467757427116, 0.1002363290567443, 0.15195469081155816, -0.08516697560981759, -0.05126705229774399, -0.14332716893580444, 0.017743068088267772, 0.22321679759748667, 0.0654107129623024, 0.09623764180314709, -0.35997433171449406, -0.044552567674128234, 0.10008497728597161, 0.1300172137781837, 0.03183589998702958, 0.0654660291389896, -0.19382017271874366, 0.05448034894213362, -0.2041572686636223, -0.15766870230436325, -0.04956351666061102, 0.030931855000573088, -0.032017634026179055, -0.3639168764798428, 0.13229675867752927, -0.0342630119467119, 0.05447443564123702, -0.026010320658075077, -0.243259113668552, -0.07230905036635275, 0.024982393214057357, 0.11653438324706172, 0.07039740880213256, 0.17082537947011725, -0.1788053998530333, -0.1310273603588905, 0.35807236224272343, -0.062303296698889926, -0.20057404649285776, 0.1048881722732781, -0.30468855354548346, -0.0868692994864552, 0.14132634386912268, 0.2113889201350932, 0.0739859377521635, -0.10616060416653471, 0.09890513822989855, -0.04333277965702538, 0.162481699455178, 0.133545912463956, 0.029052776091222494, 0.20339505734660154, 0.1543627855420675, -0.029516591378575506, 0.01743530145986884, -0.16322659110685564, -0.05672009006353482, -0.37799076834377254, -0.11694061508531822, -0.1066939512439037, 0.12944647740080673, -0.11653327685890649, -0.1244571051946929, 0.3010083234183631, 0.05178643514158947, 0.2663812812654969, 0.04326404624108998, 0.32202609579237, 0.10843435545531013, 0.07509603816137281, 0.06792554924405127, 0.27276728537706835, 0.24518188292968948, 0.10180651226063382, -0.2098292872344829, 0.07256706469288131, 0.025121292468371255] |
707.338 | The Fifth Data Release of the Sloan Digital Sky Survey | This paper describes the Fifth Data Release (DR5) of the Sloan Digital Sky
Survey (SDSS). DR5 includes all survey quality data taken through June 2005 and
represents the completion of the SDSS-I project (whose successor, SDSS-II will
continue through mid-2008). It includes five-band photometric data for 217
million objects selected over 8000 square degrees, and 1,048,960 spectra of
galaxies, quasars, and stars selected from 5713 square degrees of that imaging
data. These numbers represent a roughly 20% increment over those of the Fourth
Data Release; all the data from previous data releases are included in the
present release. In addition to "standard" SDSS observations, DR5 includes
repeat scans of the southern equatorial stripe, imaging scans across M31 and
the core of the Perseus cluster of galaxies, and the first spectroscopic data
from SEGUE, a survey to explore the kinematics and chemical evolution of the
Galaxy. The catalog database incorporates several new features, including
photometric redshifts of galaxies, tables of matched objects in overlap regions
of the imaging survey, and tools that allow precise computations of survey
geometry for statistical investigations.
| astro-ph | this paper describes the fifth data release dr5 of the sloan digital sky survey sdss dr5 includes all survey quality data taken through june 2005 and represents the completion of the sdssi project whose successor sdssii will continue through mid2008 it includes fiveband photometric data for 217 million objects selected over 8000 square degrees and 1048960 spectra of galaxies quasars and stars selected from 5713 square degrees of that imaging data these numbers represent a roughly 20 increment over those of the fourth data release all the data from previous data releases are included in the present release in addition to standard sdss observations dr5 includes repeat scans of the southern equatorial stripe imaging scans across m31 and the core of the perseus cluster of galaxies and the first spectroscopic data from segue a survey to explore the kinematics and chemical evolution of the galaxy the catalog database incorporates several new features including photometric redshifts of galaxies tables of matched objects in overlap regions of the imaging survey and tools that allow precise computations of survey geometry for statistical investigations | [['this', 'paper', 'describes', 'the', 'fifth', 'data', 'release', 'dr5', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'dr5', 'includes', 'all', 'survey', 'quality', 'data', 'taken', 'through', 'june', '2005', 'and', 'represents', 'the', 'completion', 'of', 'the', 'sdssi', 'project', 'whose', 'successor', 'sdssii', 'will', 'continue', 'through', 'mid2008', 'it', 'includes', 'fiveband', 'photometric', 'data', 'for', '217', 'million', 'objects', 'selected', 'over', '8000', 'square', 'degrees', 'and', '1048960', 'spectra', 'of', 'galaxies', 'quasars', 'and', 'stars', 'selected', 'from', '5713', 'square', 'degrees', 'of', 'that', 'imaging', 'data', 'these', 'numbers', 'represent', 'a', 'roughly', '20', 'increment', 'over', 'those', 'of', 'the', 'fourth', 'data', 'release', 'all', 'the', 'data', 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-0.036418597898107835, -0.0072355114493269325] |
707.3381 | X-ray scattering from stepped and kinked surfaces: An approach with the
paracrystal model | A general formalism of X-ray scattering from different kinds of surface
morphologies is described. Based on a description of the surface morphology at
the atomic scale through the use of the paracrystal model and discrete
distributions of distances, the scattered intensity by non-periodic surfaces is
calculated over the whole reciprocal space. In one dimension, the scattered
intensity by a vicinal surface, the two-level model, the N-level model, the
faceted surface and the rough surface are addressed. In two dimensions, the
previous results are generalized to the kinked vicinal surface, the two-level
vicinal surface and the step meandering on a vicinal surface. The concept of
crystal truncation rod is generalized considering also the truncation of a
terrace by a step (yielding a terrace truncation rod) and a step by a kink
(yielding a step truncation rod).
| cond-mat.mtrl-sci | a general formalism of xray scattering from different kinds of surface morphologies is described based on a description of the surface morphology at the atomic scale through the use of the paracrystal model and discrete distributions of distances the scattered intensity by nonperiodic surfaces is calculated over the whole reciprocal space in one dimension the scattered intensity by a vicinal surface the twolevel model the nlevel model the faceted surface and the rough surface are addressed in two dimensions the previous results are generalized to the kinked vicinal surface the twolevel vicinal surface and the step meandering on a vicinal surface the concept of crystal truncation rod is generalized considering also the truncation of a terrace by a step yielding a terrace truncation rod and a step by a kink yielding a step truncation rod | [['a', 'general', 'formalism', 'of', 'xray', 'scattering', 'from', 'different', 'kinds', 'of', 'surface', 'morphologies', 'is', 'described', 'based', 'on', 'a', 'description', 'of', 'the', 'surface', 'morphology', 'at', 'the', 'atomic', 'scale', 'through', 'the', 'use', 'of', 'the', 'paracrystal', 'model', 'and', 'discrete', 'distributions', 'of', 'distances', 'the', 'scattered', 'intensity', 'by', 'nonperiodic', 'surfaces', 'is', 'calculated', 'over', 'the', 'whole', 'reciprocal', 'space', 'in', 'one', 'dimension', 'the', 'scattered', 'intensity', 'by', 'a', 'vicinal', 'surface', 'the', 'twolevel', 'model', 'the', 'nlevel', 'model', 'the', 'faceted', 'surface', 'and', 'the', 'rough', 'surface', 'are', 'addressed', 'in', 'two', 'dimensions', 'the', 'previous', 'results', 'are', 'generalized', 'to', 'the', 'kinked', 'vicinal', 'surface', 'the', 'twolevel', 'vicinal', 'surface', 'and', 'the', 'step', 'meandering', 'on', 'a', 'vicinal', 'surface', 'the', 'concept', 'of', 'crystal', 'truncation', 'rod', 'is', 'generalized', 'considering', 'also', 'the', 'truncation', 'of', 'a', 'terrace', 'by', 'a', 'step', 'yielding', 'a', 'terrace', 'truncation', 'rod', 'and', 'a', 'step', 'by', 'a', 'kink', 'yielding', 'a', 'step', 'truncation', 'rod']] | [-0.08238143807819197, 0.1611545654882524, -0.11121117229983489, 0.027464693230611563, -0.008490729788596283, -0.10463783594105504, 0.02353796675634473, 0.4046135720199169, -0.26177751652743503, -0.2687754598168184, 0.050226066558649626, -0.23723030843035275, -0.13686668332805163, 0.18248423126547028, -0.010392640405438785, 0.0754509323881244, 0.014109976022372217, -0.03484744247076894, -0.06841787388426628, -0.21390333673708253, 0.33370661306709276, 0.04097326434001938, 0.2928994883602457, 0.03800007180004979, 0.08395486989461665, 0.02276486294941782, -0.01131493758771624, 0.03589133926625572, -0.16774570117635068, 0.16668223036772836, 0.1764467199117557, -0.04240817397853721, 0.2236591865232131, -0.47391770319985366, -0.26129578949132964, -0.04128250572135422, 0.1078586856236876, 0.14106669854511744, -0.01188017484391414, -0.26398767446126065, 0.015982352211070593, -0.08872311111233795, -0.18071163422080563, 0.05573503706176807, 0.013626171873687809, 0.01057060781532704, -0.19231907789484223, 0.061087173458193984, 0.09862089978788159, 0.07629454056315346, -0.08277361280868636, -0.06181457967222877, -0.1106234487431096, 0.06649758151138145, 0.021062249713056067, 0.04450182046275586, 0.1746085113359254, -0.07748859555029602, -0.06519319852397068, 0.37259390036603296, -0.06265186950731189, -0.22771803380351568, 0.17606869413440965, -0.14435141605199941, -0.042213578689356906, 0.19352599927015715, 0.1462270081796468, 0.13646629391109516, -0.11518359579034705, 0.08990833543267304, -0.04224439533149351, 0.16789695507944075, 0.1454347596406492, -0.042970419132911754, 0.22521174603155744, 0.23562369677464046, 0.06395065782608207, 0.14931142457879024, -0.1763171546774527, -0.07136606506363892, -0.32008500425006026, -0.15519666090873596, -0.19421635685599783, 0.009681329631538534, -0.11632648257689843, -0.21263112555216276, 0.4099089417731695, 0.01383466378667517, 0.24083672187277186, 0.030866827086003412, 0.26832711207332893, 0.11850601770400779, 0.06442280424717091, -0.0038319456724644598, 0.19600210469494114, 0.13380406550896257, 0.005992796173868284, -0.23138661553506365, 0.04877404770257869, 0.12931377005610448] |
707.3382 | Generalized-Ensemble Algorithms for Protein Folding Simulations | Conventional simulations of complex systems in the canonical ensemble suffer
from the quasi-ergodicity problem. A simulation in generalized ensemble
overcomes this difficulty by performing a random walk in potential energy space
and other parameter space. From only one simulation run, one can obtain
canonical-ensemble averages of physical quantities as functions of temperature
by the single-histogram and/or multiple-histogram reweighting techniques. In
this article we review the generalized-ensemble algorithms. Three well-known
methods, namely, multicanonical algorithm, simulated tempering, and
replica-exchange method, are described first. Both Monte Carlo and molecular
dynamics versions of the algorithms are given. We then present further
extensions of the above three methods.
| cond-mat.stat-mech cond-mat.soft | conventional simulations of complex systems in the canonical ensemble suffer from the quasiergodicity problem a simulation in generalized ensemble overcomes this difficulty by performing a random walk in potential energy space and other parameter space from only one simulation run one can obtain canonicalensemble averages of physical quantities as functions of temperature by the singlehistogram andor multiplehistogram reweighting techniques in this article we review the generalizedensemble algorithms three wellknown methods namely multicanonical algorithm simulated tempering and replicaexchange method are described first both monte carlo and molecular dynamics versions of the algorithms are given we then present further extensions of the above three methods | [['conventional', 'simulations', 'of', 'complex', 'systems', 'in', 'the', 'canonical', 'ensemble', 'suffer', 'from', 'the', 'quasiergodicity', 'problem', 'a', 'simulation', 'in', 'generalized', 'ensemble', 'overcomes', 'this', 'difficulty', 'by', 'performing', 'a', 'random', 'walk', 'in', 'potential', 'energy', 'space', 'and', 'other', 'parameter', 'space', 'from', 'only', 'one', 'simulation', 'run', 'one', 'can', 'obtain', 'canonicalensemble', 'averages', 'of', 'physical', 'quantities', 'as', 'functions', 'of', 'temperature', 'by', 'the', 'singlehistogram', 'andor', 'multiplehistogram', 'reweighting', 'techniques', 'in', 'this', 'article', 'we', 'review', 'the', 'generalizedensemble', 'algorithms', 'three', 'wellknown', 'methods', 'namely', 'multicanonical', 'algorithm', 'simulated', 'tempering', 'and', 'replicaexchange', 'method', 'are', 'described', 'first', 'both', 'monte', 'carlo', 'and', 'molecular', 'dynamics', 'versions', 'of', 'the', 'algorithms', 'are', 'given', 'we', 'then', 'present', 'further', 'extensions', 'of', 'the', 'above', 'three', 'methods']] | [-0.057282983722603494, 0.10618112754423682, -0.10008698813023739, 0.09155426425265842, 0.017452619883103992, -0.12153686777524211, 0.04239670207093963, 0.4022129536697678, -0.2867951994287033, -0.31551594541901173, 0.10658509156814498, -0.25395614557954316, -0.160053906307154, 0.23047299881228336, -0.0027617019756386676, 0.10809892961554521, 0.10785644506012984, -0.04431504188288076, -0.13110776703950822, -0.24849074098336346, 0.30525391360781357, 0.059432296451025955, 0.25073620764648213, -0.035338242136526345, 0.11043666929746156, 0.019522730290761913, -0.05585779594120515, 0.05164318629620396, -0.14276876774223923, 0.06804804194275764, 0.2008580420641046, 0.14048879985770613, 0.2878160414470853, -0.41032995720046994, -0.24939017239775435, 0.13312133719377658, 0.17485488523608164, 0.143113749786554, -0.036327456681094335, -0.25381864736988846, 0.03367101980185515, -0.16603535696562818, -0.10402374143264823, -0.12740622981058836, -0.11391513983550135, 0.08252448459868045, -0.24552802850181857, 0.09208098468918573, -0.0038547894241763095, 0.06141572408195512, -0.016122772855976342, -0.17297918186066488, 0.05696037400504757, 0.07348938763493161, 0.00766083160209853, 0.012114103951984468, 0.16573477019647173, -0.08521230812823656, -0.21044528899787396, 0.3732538231940684, -0.03278858890966969, -0.22718275229757032, 0.20121539887679996, -0.06869946741590313, -0.19061889918521047, 0.11741040593615788, 0.14257286281744933, 0.14613737303343619, -0.17188058120618557, 0.10738227038261054, 0.01308909684017885, 0.10266135210244387, -0.014399082902088469, -0.05137459014305005, 0.12649899394726197, 0.16042729269019237, 0.013990726568462217, 0.16192287932590618, -0.09350711386650801, -0.2075789699002224, -0.24467097975966504, -0.13989572496068955, -0.2285094063582958, -0.008387573602079762, -0.11202163577000451, -0.15436151004670298, 0.36334909516039726, 0.2355450910525214, 0.1735557645888013, 0.07953991616537393, 0.3569337398032932, 0.07359902713078019, 0.016064389887284123, 0.06712220920085468, 0.15044227504632526, 0.09879928291775286, 0.09140512058693989, -0.208245787489931, 0.0059278428728016565, 0.12310666595494338] |
707.3383 | Relaxation to equilibrium driven via indirect control in Markovian
dynamics | We characterize to what extent it is possible to modify the stationary states
of a quantum dynamical semigroup, that describes the irreversible evolution of
a two-level system, by means of an auxiliary two-level system. We consider
systems that can be initially entangled or uncorrelated. We find that the
indirect control of the stationary states is possible, even if there are not
initial correlations, under suitable conditions on the dynamical parameters
characterizing the evolution of the joint system.
| quant-ph | we characterize to what extent it is possible to modify the stationary states of a quantum dynamical semigroup that describes the irreversible evolution of a twolevel system by means of an auxiliary twolevel system we consider systems that can be initially entangled or uncorrelated we find that the indirect control of the stationary states is possible even if there are not initial correlations under suitable conditions on the dynamical parameters characterizing the evolution of the joint system | [['we', 'characterize', 'to', 'what', 'extent', 'it', 'is', 'possible', 'to', 'modify', 'the', 'stationary', 'states', 'of', 'a', 'quantum', 'dynamical', 'semigroup', 'that', 'describes', 'the', 'irreversible', 'evolution', 'of', 'a', 'twolevel', 'system', 'by', 'means', 'of', 'an', 'auxiliary', 'twolevel', 'system', 'we', 'consider', 'systems', 'that', 'can', 'be', 'initially', 'entangled', 'or', 'uncorrelated', 'we', 'find', 'that', 'the', 'indirect', 'control', 'of', 'the', 'stationary', 'states', 'is', 'possible', 'even', 'if', 'there', 'are', 'not', 'initial', 'correlations', 'under', 'suitable', 'conditions', 'on', 'the', 'dynamical', 'parameters', 'characterizing', 'the', 'evolution', 'of', 'the', 'joint', 'system']] | [-0.17595787332945068, 0.21010790545929545, -0.10702332541007888, 0.09429773919635101, 0.008503895062445239, -0.15392567810312205, 0.024860155112533408, 0.35916237804022705, -0.30546949670783113, -0.23419331751957342, 0.09488171395277242, -0.2548967837960786, -0.14690786239376605, 0.16544822208861543, -0.028382830188742707, 0.0826159862849813, 0.07806890511087008, 0.056756955925254274, -0.059963601775914914, -0.2234936968949563, 0.4073802205346912, 0.04073024573040425, 0.23245585446137113, -0.019131867738906294, 0.10620819143467135, 0.027277259431271392, 0.051270328489337845, 0.023223866121964407, -0.12215071871667699, 0.03271428669058996, 0.1941544947383756, 0.15998284633017398, 0.2653429962259221, -0.42146504902607435, -0.2123404656137739, 0.13856927648356016, 0.11742705975768047, 0.1579695495401884, -0.0045037726560220506, -0.27834972734381624, 0.06159828965969432, -0.1586848920840141, -0.17247757041681702, -0.09816044835107667, 0.04513088715347377, 0.02469104571969478, -0.2872825164299507, 0.07059319504814876, 0.09142675498340207, 0.00206490032761902, -0.07876108842599508, -0.0009554062029588726, -0.04057809714131154, 0.15301790527769593, -0.04390021815273137, -0.04816805647214415, 0.15530949605435326, -0.11038349465733129, -0.10547768771527456, 0.3524017929101012, -0.06940752144467521, -0.2378097120249136, 0.22052764409378944, -0.12341691585644693, -0.11020042804710857, 0.09890911561231334, 0.14312558525616859, 0.11003461759537458, -0.1948223980748421, 0.072771594654043, -0.07120846829969775, 0.2233032136429827, -0.0029947072956952956, 0.07710136588687053, 0.22252733482338197, 0.1410009568412002, 0.11181380589153957, 0.18833922442236262, -0.012300622954892067, -0.15374788031278347, -0.2988885964944281, -0.13459189189295587, -0.19634590327268006, 0.11790324050601263, -0.021092667817380038, -0.15911753410352514, 0.3986201488062159, 0.19175141463781914, 0.15253024967689696, -0.026671234859976096, 0.23217842691614257, 0.17333620389947643, -0.0027050493018967764, 0.08272302277724851, 0.2546888916184763, 0.1075648973278653, 0.03510116977472003, -0.2778364136186126, 0.11279497001102412, -0.013361032284167292] |
707.3384 | On the fusion matrix of the N=1 Neveu-Schwarz blocks | We propose an exact form of the fusion matrix of the Neveu-Schwarz blocks
that appear in a correlation function of four super-primary fields.
Orthogonality relation satisfied by this matrix is equivalent to the bootstrap
equation for the four-point super-primary correlator in the N=1 supersymmetric
Liouville theory.
| hep-th | we propose an exact form of the fusion matrix of the neveuschwarz blocks that appear in a correlation function of four superprimary fields orthogonality relation satisfied by this matrix is equivalent to the bootstrap equation for the fourpoint superprimary correlator in the n1 supersymmetric liouville theory | [['we', 'propose', 'an', 'exact', 'form', 'of', 'the', 'fusion', 'matrix', 'of', 'the', 'neveuschwarz', 'blocks', 'that', 'appear', 'in', 'a', 'correlation', 'function', 'of', 'four', 'superprimary', 'fields', 'orthogonality', 'relation', 'satisfied', 'by', 'this', 'matrix', 'is', 'equivalent', 'to', 'the', 'bootstrap', 'equation', 'for', 'the', 'fourpoint', 'superprimary', 'correlator', 'in', 'the', 'n1', 'supersymmetric', 'liouville', 'theory']] | [-0.1596799850281652, 0.12683155123712544, -0.06907027765460637, 0.12996354411639596, -0.010355690656148869, -0.13251443586879127, -0.033703199848431446, 0.30089274822207895, -0.20959288169346427, -0.18239263304428238, 0.08754851698430012, -0.27324299168084626, -0.22901101585518083, 0.06698613759616147, 0.005522000284501068, 0.09726668141134408, 0.0011462308618280551, 0.07214290057511433, -0.16272238500760464, -0.24887249849574722, 0.3506252861318543, -0.04884665941252657, 0.29889921787316387, 0.026059719673155443, 0.11113537824712694, 0.07058375588942158, -0.006132073133536007, -0.03305990834032064, -0.08483193503549125, 0.13645101025822046, 0.23959042998435703, 0.13240966354699238, 0.15451196313876173, -0.4512409440282246, -0.12418860600471658, 0.07486356616668079, 0.19315691361122805, 0.05989274587077291, 0.016109090419891087, -0.22073350215087767, 0.07006142679196985, -0.1835935787986154, -0.17669261440270298, -0.02224237482448149, 0.009421123525775645, -0.07529931258329231, -0.32543884578120447, 0.1500677551223856, 0.007731682876550147, -0.0013102170525361662, -0.03051269657747901, -0.08826224440607526, 0.004801461554091909, 0.0955884467466208, 0.04425725479023126, 0.056869276222246495, 0.08030456690239193, -0.18370925468574886, -0.09281542611627272, 0.280469621632896, -0.06128684635800512, -0.27630549439472024, 0.08454975268914891, -0.13547582396953975, -0.18260312507070764, 0.06437313678148, 0.060796390186347395, 0.1056160282181657, -0.21451748858975328, 0.19967639857255245, -0.0734486524015665, 0.1079316540904667, 0.09301648157365296, 0.004084534649534718, 0.1853954507564397, 0.05097393719884365, 0.03264304544047817, 0.178116223299066, 0.00516132743138334, -0.08742099644049355, -0.4194541801900967, -0.16449267371132484, -0.16862783637707648, 0.09347882451813506, -0.1658951870530196, -0.21761095063234476, 0.401466993508739, 0.14833752207619988, 0.1609423453717128, 0.12871562153905752, 0.19653780252227318, 0.22188789636382591, 0.13211408204844463, 0.01024514660441681, 0.20289224327501396, 0.2664051189026593, 0.047926728451705494, -0.22666972726785942, -0.09256245460204335, 0.2182348651163604] |
707.3385 | DARWIN mission proposal to ESA | The discovery of extra-solar planets is one of the greatest achievements of
modern astronomy. There are now more than 200 such objects known, and the
recent detection of planets with masses approximately 5 times that of Earth
demonstrates that extra-solar planets of low mass exist. In addition to
providing a wealth of scientific information on the formation and structure of
planetary systems, these discoveries capture the interest of both scientists
and the wider public with the profound prospect of the search for life in the
Universe. We propose an L-type mission, called Darwin, whose primary goal is
the study of terrestrial extrasolar planets and the search for life on them. By
its very nature, Darwin advances the first Grand Theme of ESA Cosmic Vision.
Accomplishing the mission objectives will require collaborative science across
disciplines ranging from planet formation and atmospheres to chemistry and
biology, and these disciplines will reap profound rewards from their
contributions to the Darwin mission.
| astro-ph | the discovery of extrasolar planets is one of the greatest achievements of modern astronomy there are now more than 200 such objects known and the recent detection of planets with masses approximately 5 times that of earth demonstrates that extrasolar planets of low mass exist in addition to providing a wealth of scientific information on the formation and structure of planetary systems these discoveries capture the interest of both scientists and the wider public with the profound prospect of the search for life in the universe we propose an ltype mission called darwin whose primary goal is the study of terrestrial extrasolar planets and the search for life on them by its very nature darwin advances the first grand theme of esa cosmic vision accomplishing the mission objectives will require collaborative science across disciplines ranging from planet formation and atmospheres to chemistry and biology and these disciplines will reap profound rewards from their contributions to the darwin mission | [['the', 'discovery', 'of', 'extrasolar', 'planets', 'is', 'one', 'of', 'the', 'greatest', 'achievements', 'of', 'modern', 'astronomy', 'there', 'are', 'now', 'more', 'than', '200', 'such', 'objects', 'known', 'and', 'the', 'recent', 'detection', 'of', 'planets', 'with', 'masses', 'approximately', '5', 'times', 'that', 'of', 'earth', 'demonstrates', 'that', 'extrasolar', 'planets', 'of', 'low', 'mass', 'exist', 'in', 'addition', 'to', 'providing', 'a', 'wealth', 'of', 'scientific', 'information', 'on', 'the', 'formation', 'and', 'structure', 'of', 'planetary', 'systems', 'these', 'discoveries', 'capture', 'the', 'interest', 'of', 'both', 'scientists', 'and', 'the', 'wider', 'public', 'with', 'the', 'profound', 'prospect', 'of', 'the', 'search', 'for', 'life', 'in', 'the', 'universe', 'we', 'propose', 'an', 'ltype', 'mission', 'called', 'darwin', 'whose', 'primary', 'goal', 'is', 'the', 'study', 'of', 'terrestrial', 'extrasolar', 'planets', 'and', 'the', 'search', 'for', 'life', 'on', 'them', 'by', 'its', 'very', 'nature', 'darwin', 'advances', 'the', 'first', 'grand', 'theme', 'of', 'esa', 'cosmic', 'vision', 'accomplishing', 'the', 'mission', 'objectives', 'will', 'require', 'collaborative', 'science', 'across', 'disciplines', 'ranging', 'from', 'planet', 'formation', 'and', 'atmospheres', 'to', 'chemistry', 'and', 'biology', 'and', 'these', 'disciplines', 'will', 'reap', 'profound', 'rewards', 'from', 'their', 'contributions', 'to', 'the', 'darwin', 'mission']] | [-0.08066510007520725, 0.14970787482925976, -0.05051511274414915, 0.07138913103137637, -0.12783528154250234, -0.0198802388305599, 0.03209565655708525, 0.30762476514423664, -0.21123038396486848, -0.41742030370544314, 0.09544699949866656, -0.296700104717401, -0.1701962814601492, 0.2469244238513793, -0.0780578997174773, 0.03912895105306142, 0.10967558847528093, -0.00907231371885142, -0.009978143780866543, -0.32331419121208776, 0.2680269889839294, 0.09917322144831849, 0.1250991129826259, 0.03532294596433404, 0.05225638491363129, -0.05312084757923326, -0.08066764878310982, -0.10102592823331398, -0.1815108969617713, 0.1614116807807166, 0.33565758685050884, 0.2647504375015586, 0.31357708477998697, -0.4060407706618875, -0.22397370049228915, 0.10437946008957474, 0.09419545929148039, 0.014930177609660204, -0.09383349130978245, -0.3088578509779859, 0.01809632093233021, -0.1883837443502337, -0.12565057901842402, -0.0331160648087853, 0.08794802145537318, 0.015038933571062604, -0.19177092533798806, -0.002458185573105547, 0.04907557066482834, 0.11200756763949507, -0.10503644401080836, -0.18037279106306703, -0.0033020391571040772, 0.17333625717076792, 0.05961314819958002, 0.012396417947963494, 0.1465690389601219, -0.17218170126699667, -0.12397302551006403, 0.48578406322771045, -0.051149207906067355, -4.259588291184812e-05, 0.2816059695780749, -0.21159723775219644, -0.1531293977057868, 0.10176209791392513, 0.20743632552367222, 0.12497284686022668, -0.1855919540604087, 0.048679741546533754, 0.03758408018399643, 0.13964629786301264, 0.07265715051996463, 0.0680931529215879, 0.4112997276449128, 0.21516059717175232, 0.10508466342499456, 0.00879006484365739, -0.12997703070039832, -0.12761849961302515, -0.1694148544375372, -0.1807908283765214, -0.18903411816381202, 0.008416446954412739, -0.03484872554635549, -0.11478677970251139, 0.3775060958747717, 0.2048799496680451, 0.0797842857413159, -0.003974059884933036, 0.31403646298648813, -0.0037792749714719346, 0.10432672485432151, 0.04007090527941532, 0.30089773688040955, 0.08766367967989107, 0.15842327835182718, -0.17638493258221652, 0.09117883209601822, -0.04513531337238707] |
707.3386 | Galilei invariant theories. III. Wave equations for massless fields | Galilei invariant equations for massless fields are obtained via contractions
of relativistic wave equations. It is shown that the collection of
non-equivalent Galilei-invariant wave equations for massless fields with spin
equal 1 and 0 is very broad and describes many physically consistent systems.
In particular, there exist a huge number of such equations for massless fields
which correspond to various contractions of representations of the Lorentz
group to those of the Galilei one.
| math-ph math.MP quant-ph | galilei invariant equations for massless fields are obtained via contractions of relativistic wave equations it is shown that the collection of nonequivalent galileiinvariant wave equations for massless fields with spin equal 1 and 0 is very broad and describes many physically consistent systems in particular there exist a huge number of such equations for massless fields which correspond to various contractions of representations of the lorentz group to those of the galilei one | [['galilei', 'invariant', 'equations', 'for', 'massless', 'fields', 'are', 'obtained', 'via', 'contractions', 'of', 'relativistic', 'wave', 'equations', 'it', 'is', 'shown', 'that', 'the', 'collection', 'of', 'nonequivalent', 'galileiinvariant', 'wave', 'equations', 'for', 'massless', 'fields', 'with', 'spin', 'equal', '1', 'and', '0', 'is', 'very', 'broad', 'and', 'describes', 'many', 'physically', 'consistent', 'systems', 'in', 'particular', 'there', 'exist', 'a', 'huge', 'number', 'of', 'such', 'equations', 'for', 'massless', 'fields', 'which', 'correspond', 'to', 'various', 'contractions', 'of', 'representations', 'of', 'the', 'lorentz', 'group', 'to', 'those', 'of', 'the', 'galilei', 'one']] | [-0.20006275313351404, 0.2317612567942028, -0.027402546626758086, 0.0608986396093738, -0.07056543014127098, -0.13529459447663736, -0.12418772629781129, 0.30796352549366757, -0.20946863166069332, -0.26542038613394514, 0.06106819102559749, -0.3027076269053433, -0.12510993887912736, 0.22810634322566528, 0.01473898628777633, 0.06329027676878318, 0.016577907933611167, 0.08574727724931419, -0.0979416238635217, -0.21682552786620513, 0.3708754935595271, -0.05961706601593592, 0.2433757663844791, -0.0611022607270271, 0.17610402702519748, 0.004362413315230036, -0.005716482432533617, 0.022290875069950134, -0.056449088182364916, 0.06335019149932347, 0.27978949270479075, 0.08378730036879647, 0.19130602544364966, -0.4164084390520233, -0.2041399229113778, 0.08625827844522588, 0.13651668188187663, 0.1313701070739875, -0.0403297221772883, -0.294898829837521, 0.04411295612585055, -0.16328803768815242, -0.19952070810002823, -0.11078627457306402, 0.07037655896928212, 0.00904562579442377, -0.23737264541934613, 0.09319991326240236, 0.04488182241218292, 0.04556684930847116, -0.10110108118045004, -0.1064246471920242, -0.06575371905019481, 0.07238528183470033, 0.12096937511703126, 0.034373207775276304, 0.052103357249233005, -0.17850754318809878, -0.11408397087138401, 0.4632936707914692, -0.03264810417919126, -0.26645876599909507, 0.23672005707040839, -0.18861317317231163, -0.142156605308952, 0.19272581968226865, 0.1294316725378014, 0.13039676782560267, -0.1682860447374517, 0.13700087741495762, -0.09141367921974089, 0.05022976456101576, 0.11098071781612218, 0.04322310484154788, 0.19405765637551267, 0.03676965287631403, 0.05166481635836272, 0.04690182388262593, 0.05014814837031985, -0.10824321729628598, -0.3663863105929061, -0.17755972086898472, -0.14227852715523787, 0.11129836435868302, -0.08311522309309548, -0.18729087858491145, 0.3661803758291732, 0.14739887341091487, 0.11738450191149565, 0.029365003298751195, 0.16372303386563308, 0.149500277327144, 0.11475609651167099, 0.09413406927750943, 0.21396521872470844, 0.23245452901935332, 0.0410071323332313, -0.16626141193778932, -0.11777470260220643, 0.07856435638737597] |
707.3387 | On the dynamics of the universe in $D$ spatial dimensions | In this paper we present the equations of the evolution of the universe in
$D$ spatial dimensions, as a generalization of the work of Lima \citep{lima}.
We discuss the Friedmann-Robertson-Walker cosmological equations in $D$ spatial
dimensions for a simple fluid with equation of state $p=\omega_{D}\rho$. It is
possible to reduce the multidimensional equations to the equation of a point
particle system subject to a linear force. This force can be expressed as an
oscillator equation, anti-oscillator or a free particle equation, depending on
the $k$ parameter of the spatial curvature. An interesting result is the
independence on the dimension $D$ in a de Sitter evolution. We also stress the
generality of this procedure with a cosmological $\Lambda$ term. A more
interesting result is that the reduction of the dimensionality leads naturally
to an accelerated expansion of the scale factor in the plane case.
| gr-qc | in this paper we present the equations of the evolution of the universe in d spatial dimensions as a generalization of the work of lima citeplima we discuss the friedmannrobertsonwalker cosmological equations in d spatial dimensions for a simple fluid with equation of state pomega_drho it is possible to reduce the multidimensional equations to the equation of a point particle system subject to a linear force this force can be expressed as an oscillator equation antioscillator or a free particle equation depending on the k parameter of the spatial curvature an interesting result is the independence on the dimension d in a de sitter evolution we also stress the generality of this procedure with a cosmological lambda term a more interesting result is that the reduction of the dimensionality leads naturally to an accelerated expansion of the scale factor in the plane case | [['in', 'this', 'paper', 'we', 'present', 'the', 'equations', 'of', 'the', 'evolution', 'of', 'the', 'universe', 'in', 'd', 'spatial', 'dimensions', 'as', 'a', 'generalization', 'of', 'the', 'work', 'of', 'lima', 'citeplima', 'we', 'discuss', 'the', 'friedmannrobertsonwalker', 'cosmological', 'equations', 'in', 'd', 'spatial', 'dimensions', 'for', 'a', 'simple', 'fluid', 'with', 'equation', 'of', 'state', 'pomega_drho', 'it', 'is', 'possible', 'to', 'reduce', 'the', 'multidimensional', 'equations', 'to', 'the', 'equation', 'of', 'a', 'point', 'particle', 'system', 'subject', 'to', 'a', 'linear', 'force', 'this', 'force', 'can', 'be', 'expressed', 'as', 'an', 'oscillator', 'equation', 'antioscillator', 'or', 'a', 'free', 'particle', 'equation', 'depending', 'on', 'the', 'k', 'parameter', 'of', 'the', 'spatial', 'curvature', 'an', 'interesting', 'result', 'is', 'the', 'independence', 'on', 'the', 'dimension', 'd', 'in', 'a', 'de', 'sitter', 'evolution', 'we', 'also', 'stress', 'the', 'generality', 'of', 'this', 'procedure', 'with', 'a', 'cosmological', 'lambda', 'term', 'a', 'more', 'interesting', 'result', 'is', 'that', 'the', 'reduction', 'of', 'the', 'dimensionality', 'leads', 'naturally', 'to', 'an', 'accelerated', 'expansion', 'of', 'the', 'scale', 'factor', 'in', 'the', 'plane', 'case']] | [-0.14887639572629244, 0.10812872605254223, -0.12124917823292897, 0.025914622655679995, -0.07933907000453654, -0.09300670573811529, -0.029844001828484793, 0.2660338171569512, -0.27274560980855467, -0.26885600900607753, 0.05952695267958606, -0.2412724167385951, -0.13499052531799263, 0.15273127726655691, -0.03879727571145863, 0.01772208466212734, 0.013788817219224805, 0.06581753651373723, -0.05425656911403482, -0.2701917605619904, 0.35933294128098175, 0.08297928707700566, 0.21735039779401205, 0.016663730461546716, 0.1518756469004913, -0.02755030113972512, 0.0012120315739026306, 0.05580134717219159, -0.17798846648496797, 0.08465891497924673, 0.1898491536696435, 0.08562964766950129, 0.26055574502320367, -0.38200560649394566, -0.2407090574080217, 0.10480134676587075, 0.1543004196401395, 0.1640147834501051, -0.005918507208797506, -0.25979908856774636, 0.021121454306263873, -0.15882843870880967, -0.20673520519259445, -0.03858327659850953, 0.04183509447843048, -0.0325317342058881, -0.2598742407132336, 0.13734882844571547, 0.08885058242966362, 0.010360468932487737, -0.08918929557771758, -0.057559706854422625, 0.007165439308006713, 0.04398334137715584, 0.07088837939056944, 0.045530311357071425, 0.07157622814072785, -0.15391774088018806, -0.08729851829773146, 0.40799875233441274, -0.10651766457132572, -0.27462474032179685, 0.16180764670080855, -0.13074403176916408, -0.10655918665699238, 0.09407275863956158, 0.17969505936699978, 0.13203287755423193, -0.13834893672416607, 0.16117739740508139, -0.03377448939569691, 0.1759742775261947, 0.0981174997773999, -0.013705420251671515, 0.14860319210123932, 0.1694537999243839, 0.07737433582507999, 0.13757312406062525, -0.040579101252402605, -0.09922088837252718, -0.35807099437724194, -0.20843780760100963, -0.17252732794616266, 0.10217853349547648, -0.17617691454563475, -0.18768265322907596, 0.3681375522774162, 0.126586196253882, 0.20548602505355862, 0.013515586984601426, 0.2612552976975521, 0.15689147203493573, 0.0173119323836732, 0.05201293126158152, 0.2066516463136208, 0.13814506628583614, 0.13227551739913881, -0.24979632682454317, -0.011234312470183305, 0.0833103780780014] |
707.3388 | Complex Networks in and beyond Physics | Physicists study a wide variety of phenomena creating new interdisciplinary
research fields by applying theories and methods originally developed in
physics in order to solve problems in economics, social science, biology,
medicine, technology, etc. In their turn, these different branches of science
inspire the invention of new concepts in physics. A basic tool of analysis, in
such a context, is the mathematical theory of complexity concerned with the
study of complex systems including human economies, climate, nervous systems,
cells and living things, including human beings, as well as modern energy or
communication infrastructures which are all networks of some kind. Recently,
complexity has become a natural domain of interest of the real world
socio-cognitive systems, linguistics, and emerging systemics research. The
phenomena to be studied and understood arise from neither the physical laws nor
the abstraction of mathematics. The challenge is to discern and formulate
plausible mathematical structures to describe problems that represent vague
human goals.
| physics.pop-ph physics.soc-ph | physicists study a wide variety of phenomena creating new interdisciplinary research fields by applying theories and methods originally developed in physics in order to solve problems in economics social science biology medicine technology etc in their turn these different branches of science inspire the invention of new concepts in physics a basic tool of analysis in such a context is the mathematical theory of complexity concerned with the study of complex systems including human economies climate nervous systems cells and living things including human beings as well as modern energy or communication infrastructures which are all networks of some kind recently complexity has become a natural domain of interest of the real world sociocognitive systems linguistics and emerging systemics research the phenomena to be studied and understood arise from neither the physical laws nor the abstraction of mathematics the challenge is to discern and formulate plausible mathematical structures to describe problems that represent vague human goals | [['physicists', 'study', 'a', 'wide', 'variety', 'of', 'phenomena', 'creating', 'new', 'interdisciplinary', 'research', 'fields', 'by', 'applying', 'theories', 'and', 'methods', 'originally', 'developed', 'in', 'physics', 'in', 'order', 'to', 'solve', 'problems', 'in', 'economics', 'social', 'science', 'biology', 'medicine', 'technology', 'etc', 'in', 'their', 'turn', 'these', 'different', 'branches', 'of', 'science', 'inspire', 'the', 'invention', 'of', 'new', 'concepts', 'in', 'physics', 'a', 'basic', 'tool', 'of', 'analysis', 'in', 'such', 'a', 'context', 'is', 'the', 'mathematical', 'theory', 'of', 'complexity', 'concerned', 'with', 'the', 'study', 'of', 'complex', 'systems', 'including', 'human', 'economies', 'climate', 'nervous', 'systems', 'cells', 'and', 'living', 'things', 'including', 'human', 'beings', 'as', 'well', 'as', 'modern', 'energy', 'or', 'communication', 'infrastructures', 'which', 'are', 'all', 'networks', 'of', 'some', 'kind', 'recently', 'complexity', 'has', 'become', 'a', 'natural', 'domain', 'of', 'interest', 'of', 'the', 'real', 'world', 'sociocognitive', 'systems', 'linguistics', 'and', 'emerging', 'systemics', 'research', 'the', 'phenomena', 'to', 'be', 'studied', 'and', 'understood', 'arise', 'from', 'neither', 'the', 'physical', 'laws', 'nor', 'the', 'abstraction', 'of', 'mathematics', 'the', 'challenge', 'is', 'to', 'discern', 'and', 'formulate', 'plausible', 'mathematical', 'structures', 'to', 'describe', 'problems', 'that', 'represent', 'vague', 'human', 'goals']] | [-0.05985048246765209, 0.0896412271675804, -0.05619001072500983, 0.12478008442257922, -0.13816029177978634, -0.13322330779365954, -0.007225812617839584, 0.29451454055886117, -0.29861983695938704, -0.3626584617646351, 0.1077001670360445, -0.2354151120574604, -0.2729763641127295, 0.2490860752502246, -0.1424500250317637, 0.058689469455050366, 0.025472598141359708, 0.009881075261340987, 0.024044000316831855, -0.21119017975494986, 0.2849506214261055, 0.003682810206326746, 0.32643060991240125, 0.05570048461949843, 0.07661535393412885, -0.03505443937685942, -0.050168125141381976, 0.018823659672371804, -0.10562776505760285, 0.20940528800110184, 0.4068180903071357, 0.24870597362037627, 0.3802578871198479, -0.47435665854042575, -0.2985860264890136, 0.09218271247922413, 0.10635805689774815, 0.0845461250310989, -0.04129972838394855, -0.2879624348944954, 0.014652496264241035, -0.16289573097000679, -0.16137922221584425, -0.08946376273919257, 0.03536377179092773, 0.01966624783291932, -0.1626261768411965, 0.005117474840353093, 0.029650120073629, 0.18028311959257529, -0.02697210588883008, -0.11181086577595242, 0.04290066326728031, 0.20694490764740733, 0.06751472725562992, -0.0010191840788109168, 0.16164926094934345, -0.20892143456205245, -0.22335353332661814, 0.4454326064596253, 0.08000597611835768, -0.14583910845610643, 0.28700833324222796, -0.09916005601145086, -0.19829473697069672, 0.044319514472097636, 0.2366339924512431, 0.06394082405604422, -0.1858496666825827, 0.11614949994743051, 0.01872270628809929, 0.12911657319374142, 0.05926579243142999, 0.05913508653700832, 0.25734804223531915, 0.2197280931616983, 0.01873228562575194, 0.0661697430468555, 0.044232428177530245, -0.18524617186086553, -0.2132310287305905, -0.15233062427911548, -0.1481048268739194, 0.025653701049046622, 0.00017376510293087773, -0.18505848005654352, 0.3690973571772056, 0.1618106546841802, 0.10776487768537575, -0.034098668304091743, 0.26803344496555864, 0.027764621621838983, 0.08119888086690598, 0.010842322185635567, 0.18682779561401525, 0.12781853629726797, 0.21875246958506683, -0.12456167814201645, 0.057950783346689516, 0.014633110374392522] |
707.3389 | In-medium chiral SU(3) dynamics and hypernuclear structure | A previously introduced relativistic energy density functional, successfully
applied to ordinary nuclei, is extended to hypernuclei. The density-dependent
mean field and the spin-orbit potential are consistently calculated for a
$\Lambda$ hyperon in the nucleus using the SU(3) extension of in-medium chiral
perturbation theory. The leading long range $\Lambda N$ interaction arises from
kaon-exchange and $2\pi$-exchange with $\Sigma$ hyperon in the intermediate
state. Scalar and vector mean fields reflecting in-medium changes of the quark
condensates are constrained by QCD sum rules. The model, applied to oxygen as a
test case, describes spectroscopic data in good agreement with experiment. In
particular, the smallness of the $\Lambda$ spin-orbit interaction finds a
natural explanation in terms of an almost complete cancellation between
scalar-vector background contributions and long-range terms generated by
two-pion exchange.
| nucl-th | a previously introduced relativistic energy density functional successfully applied to ordinary nuclei is extended to hypernuclei the densitydependent mean field and the spinorbit potential are consistently calculated for a lambda hyperon in the nucleus using the su3 extension of inmedium chiral perturbation theory the leading long range lambda n interaction arises from kaonexchange and 2piexchange with sigma hyperon in the intermediate state scalar and vector mean fields reflecting inmedium changes of the quark condensates are constrained by qcd sum rules the model applied to oxygen as a test case describes spectroscopic data in good agreement with experiment in particular the smallness of the lambda spinorbit interaction finds a natural explanation in terms of an almost complete cancellation between scalarvector background contributions and longrange terms generated by twopion exchange | [['a', 'previously', 'introduced', 'relativistic', 'energy', 'density', 'functional', 'successfully', 'applied', 'to', 'ordinary', 'nuclei', 'is', 'extended', 'to', 'hypernuclei', 'the', 'densitydependent', 'mean', 'field', 'and', 'the', 'spinorbit', 'potential', 'are', 'consistently', 'calculated', 'for', 'a', 'lambda', 'hyperon', 'in', 'the', 'nucleus', 'using', 'the', 'su3', 'extension', 'of', 'inmedium', 'chiral', 'perturbation', 'theory', 'the', 'leading', 'long', 'range', 'lambda', 'n', 'interaction', 'arises', 'from', 'kaonexchange', 'and', '2piexchange', 'with', 'sigma', 'hyperon', 'in', 'the', 'intermediate', 'state', 'scalar', 'and', 'vector', 'mean', 'fields', 'reflecting', 'inmedium', 'changes', 'of', 'the', 'quark', 'condensates', 'are', 'constrained', 'by', 'qcd', 'sum', 'rules', 'the', 'model', 'applied', 'to', 'oxygen', 'as', 'a', 'test', 'case', 'describes', 'spectroscopic', 'data', 'in', 'good', 'agreement', 'with', 'experiment', 'in', 'particular', 'the', 'smallness', 'of', 'the', 'lambda', 'spinorbit', 'interaction', 'finds', 'a', 'natural', 'explanation', 'in', 'terms', 'of', 'an', 'almost', 'complete', 'cancellation', 'between', 'scalarvector', 'background', 'contributions', 'and', 'longrange', 'terms', 'generated', 'by', 'twopion', 'exchange']] | [-0.1146622688320349, 0.19599440425838566, -0.0786867783535854, 0.15068038245499338, -0.049395246714993846, -0.10681791673414409, 0.007849147878914664, 0.341387111635413, -0.2109001778298989, -0.28177414064703044, -0.06269955129118898, -0.3038013088007574, -0.058563771681292565, 0.06774804046108329, 0.07575899330731772, 0.029420926941384096, 0.02288562815010664, 0.07773647515205084, -0.04901949145278195, -0.1863578341108223, 0.34093880033833557, 0.02530748695426155, 0.20853468261339003, 0.11149254278194576, 0.07263771383532003, 0.053234551358400495, -0.009902437781420304, 0.006881160981720313, -0.11161660122525063, 0.07254071609810353, 0.24759634493284466, -0.011688763588608708, 0.17297466372474446, -0.38301341281839996, -0.21475099744384352, 0.09520353929838166, 0.14285219290832174, 0.15302327917379444, -0.038210330698348116, -0.31091794820349605, 0.04470464892438031, -0.22840744390850887, -0.17216277064289898, -0.11735172092994617, 0.026167180863012618, 0.015482977294595912, -0.3370591201382922, 0.10577635804565944, -0.026297756566236785, 0.06511095297901193, -0.09987638499842433, -0.1988672091611079, -0.02587715796835255, 0.04332030297973688, 0.10775885954080877, 0.11998936633244739, 0.1183194340846967, -0.18411685744104034, -0.08777867279968632, 0.4293046211823821, -0.15196741132240277, -0.16278670539759332, 0.10214084223116515, -0.11398505610486609, -0.07413847833595355, 0.1404515581234591, 0.12397253937797359, 0.07365397654916706, -0.1624347425167798, 0.14555246368945518, -0.015813331378012663, 0.17701976739499514, 0.0737379028723808, 0.044095918266464196, 0.18605406232381938, 0.14480671111959964, -0.030343231635924894, 0.07202602263168956, -0.05177629958154739, -0.15195157459311304, -0.35806182355008787, -0.041037298959963664, -0.13022712971542205, 0.037537245194471325, -0.09444645205167035, -0.1208901940844953, 0.3441145216638688, 0.06252155571201001, 0.1889887282216023, -0.014915827563527273, 0.2562488985113305, 0.10409076894484315, 0.08182216708883061, 0.011785004036937607, 0.27942075688224577, 0.2520210195471009, 0.08849720960603236, -0.30949891319505696, -0.00929205607098993, 0.06704227015325159] |
707.339 | Consistency of the group Lasso and multiple kernel learning | We consider the least-square regression problem with regularization by a
block 1-norm, i.e., a sum of Euclidean norms over spaces of dimensions larger
than one. This problem, referred to as the group Lasso, extends the usual
regularization by the 1-norm where all spaces have dimension one, where it is
commonly referred to as the Lasso. In this paper, we study the asymptotic model
consistency of the group Lasso. We derive necessary and sufficient conditions
for the consistency of group Lasso under practical assumptions, such as model
misspecification. When the linear predictors and Euclidean norms are replaced
by functions and reproducing kernel Hilbert norms, the problem is usually
referred to as multiple kernel learning and is commonly used for learning from
heterogeneous data sources and for non linear variable selection. Using tools
from functional analysis, and in particular covariance operators, we extend the
consistency results to this infinite dimensional case and also propose an
adaptive scheme to obtain a consistent model estimate, even when the necessary
condition required for the non adaptive scheme is not satisfied.
| cs.LG | we consider the leastsquare regression problem with regularization by a block 1norm ie a sum of euclidean norms over spaces of dimensions larger than one this problem referred to as the group lasso extends the usual regularization by the 1norm where all spaces have dimension one where it is commonly referred to as the lasso in this paper we study the asymptotic model consistency of the group lasso we derive necessary and sufficient conditions for the consistency of group lasso under practical assumptions such as model misspecification when the linear predictors and euclidean norms are replaced by functions and reproducing kernel hilbert norms the problem is usually referred to as multiple kernel learning and is commonly used for learning from heterogeneous data sources and for non linear variable selection using tools from functional analysis and in particular covariance operators we extend the consistency results to this infinite dimensional case and also propose an adaptive scheme to obtain a consistent model estimate even when the necessary condition required for the non adaptive scheme is not satisfied | [['we', 'consider', 'the', 'leastsquare', 'regression', 'problem', 'with', 'regularization', 'by', 'a', 'block', '1norm', 'ie', 'a', 'sum', 'of', 'euclidean', 'norms', 'over', 'spaces', 'of', 'dimensions', 'larger', 'than', 'one', 'this', 'problem', 'referred', 'to', 'as', 'the', 'group', 'lasso', 'extends', 'the', 'usual', 'regularization', 'by', 'the', '1norm', 'where', 'all', 'spaces', 'have', 'dimension', 'one', 'where', 'it', 'is', 'commonly', 'referred', 'to', 'as', 'the', 'lasso', 'in', 'this', 'paper', 'we', 'study', 'the', 'asymptotic', 'model', 'consistency', 'of', 'the', 'group', 'lasso', 'we', 'derive', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'consistency', 'of', 'group', 'lasso', 'under', 'practical', 'assumptions', 'such', 'as', 'model', 'misspecification', 'when', 'the', 'linear', 'predictors', 'and', 'euclidean', 'norms', 'are', 'replaced', 'by', 'functions', 'and', 'reproducing', 'kernel', 'hilbert', 'norms', 'the', 'problem', 'is', 'usually', 'referred', 'to', 'as', 'multiple', 'kernel', 'learning', 'and', 'is', 'commonly', 'used', 'for', 'learning', 'from', 'heterogeneous', 'data', 'sources', 'and', 'for', 'non', 'linear', 'variable', 'selection', 'using', 'tools', 'from', 'functional', 'analysis', 'and', 'in', 'particular', 'covariance', 'operators', 'we', 'extend', 'the', 'consistency', 'results', 'to', 'this', 'infinite', 'dimensional', 'case', 'and', 'also', 'propose', 'an', 'adaptive', 'scheme', 'to', 'obtain', 'a', 'consistent', 'model', 'estimate', 'even', 'when', 'the', 'necessary', 'condition', 'required', 'for', 'the', 'non', 'adaptive', 'scheme', 'is', 'not', 'satisfied']] | [-0.024448219888976642, 0.026122059772273394, -0.07778817522206477, 0.13311154655912624, -0.09630693503389401, -0.1772435708849558, 0.01132288623135537, 0.3796408810360091, -0.29601162583567203, -0.23967430670878717, 0.19031086514105222, -0.2384288747395788, -0.18216484245877446, 0.15062574927029865, -0.12714926573514407, 0.1186522679137332, 0.03835078023706696, 0.05857981339097023, -0.0904022270520883, -0.28353811808063517, 0.3620748482804213, 0.05025720140564122, 0.274474804390754, -0.03530568903744487, 0.12552468000977698, 0.07450164634202208, -0.028503241149176444, 0.034902900771370954, -0.10917137660485293, 0.10638992218101131, 0.2845851724408567, 0.12070213201455772, 0.3642909264564514, -0.37652417343775074, -0.2315760653000325, 0.16565698574164084, 0.12956785201760276, 0.03977844489871391, 0.02204172226467303, -0.24985207077514912, 0.07478742243855127, -0.14399592843189438, -0.1031059550414128, -0.1170816685977791, -0.06948254248659526, -0.016198856172018817, -0.39334678582847116, 0.10231406029962402, 0.05220945341512561, 0.0598458121211401, -0.09052687409067793, -0.1302734588459134, 0.04623159565031529, 0.07095344541960263, 0.07719460230320692, 0.008145209750426667, 0.060661763126263396, -0.08774231572955614, -0.09169833389243909, 0.39030895066846694, -0.051897338840395345, -0.27849964212094036, 0.17357294131037113, -0.08261480266228319, -0.13373119947367482, 0.03808331572583744, 0.1805197902875287, 0.1320226229833705, -0.1489373524342331, 0.10809980797947251, -0.0720151279813477, 0.1055927387997508, 0.03698821539059281, 0.04455246955289372, 0.04674234252423048, 0.14591922250310224, 0.1447604442294687, 0.14950558717894766, -0.04991537527314254, -0.06260250702167729, -0.3398238591028244, -0.1346423570389327, -0.19282180039810815, -0.017016105412954598, -0.14804284763863376, -0.1800683211239188, 0.3267171352344615, 0.1388964283290053, 0.20447187127545477, 0.11881747794204525, 0.2914305159502796, 0.1269490068894811, 0.09843309897463769, 0.11264297127989786, 0.16947450190915594, 0.16367002330055194, 0.02689260567072779, -0.17405638450889716, 0.07652235023145165, 0.12486002105155161] |
707.3391 | Hadronic single inclusive kt distributions inside one jet beyond MLLA | The hadronic kt-spectrum inside one jet is determined including corrections
of relative magnitude sqrt{alpha_s} with respect to the Modified Leading
Logarithmic Approximation (MLLA), at and beyond the limiting spectrum (assuming
an infrared cut-off Q_0 = Lambda_QCD and Q_0 not = Lambda_QCD). The agreement
between our results and preliminary measurements by the CDF collaboration is
impressive, much better than at MLLA, pointing out very small overall
non-perturbative contributions.
| hep-ph hep-ex | the hadronic ktspectrum inside one jet is determined including corrections of relative magnitude sqrtalpha_s with respect to the modified leading logarithmic approximation mlla at and beyond the limiting spectrum assuming an infrared cutoff q_0 lambda_qcd and q_0 not lambda_qcd the agreement between our results and preliminary measurements by the cdf collaboration is impressive much better than at mlla pointing out very small overall nonperturbative contributions | [['the', 'hadronic', 'ktspectrum', 'inside', 'one', 'jet', 'is', 'determined', 'including', 'corrections', 'of', 'relative', 'magnitude', 'sqrtalpha_s', 'with', 'respect', 'to', 'the', 'modified', 'leading', 'logarithmic', 'approximation', 'mlla', 'at', 'and', 'beyond', 'the', 'limiting', 'spectrum', 'assuming', 'an', 'infrared', 'cutoff', 'q_0', 'lambda_qcd', 'and', 'q_0', 'not', 'lambda_qcd', 'the', 'agreement', 'between', 'our', 'results', 'and', 'preliminary', 'measurements', 'by', 'the', 'cdf', 'collaboration', 'is', 'impressive', 'much', 'better', 'than', 'at', 'mlla', 'pointing', 'out', 'very', 'small', 'overall', 'nonperturbative', 'contributions']] | [-0.04129480493899721, 0.13415262591868388, -0.13456241835195284, 0.1256372046047965, -0.05217317084853466, -0.09366752052536377, 0.02987178678203446, 0.3463784968623748, -0.1649832008119959, -0.328113740894836, -0.00481207797733637, -0.3506671088246199, 0.022073211237931482, 0.17830779381597844, 0.019412300248558705, 0.049294427810953216, 0.03373349258819452, 0.006019244880343859, -0.11975582098731628, -0.1667170313419774, 0.28092531235172197, 0.19150722140016463, 0.22392295765189024, 0.128811852963498, 0.044931663845020994, -0.04901777519665372, -0.08121027058133712, -0.0016957955291638008, -0.16612536607740017, 0.028129384337136378, 0.18327994110922402, -0.04307632046178556, 0.18914148671230158, -0.3199590748319259, -0.0987513282121374, 0.06769452241177742, 0.17677507989753324, 0.0400248801550613, 0.05306125490997846, -0.24424924512322133, 0.09299086774341189, -0.20153764602369986, -0.1974589491334672, -0.061919605144514486, -0.027211463096766517, -0.04731567082747531, -0.307193275863448, 0.1226871263808929, -0.028860880759916305, 0.028872813685582234, 0.023309271789800662, -0.22901562812666482, 0.0007012925039117153, 0.07565670878124925, 0.11576087580044539, 0.1459485992287787, 0.1521173711006458, -0.20593653694153405, -0.08845167820556805, 0.3951661177839224, -0.07613336906271377, -0.10555513096534504, 0.12214029174244317, -0.24150948009382073, -0.10957353595071113, 0.19734294340014458, 0.06941414599020321, 0.05166938563477463, -0.09826593870440355, 0.09002210569227688, 0.04732254365315804, 0.20123947431834843, 0.1236369907999268, 0.08035715190736273, 0.16204277609403317, 0.1445372267303845, 0.019700999070818608, 0.03387749089429585, -0.04991424115947806, -0.13302025171713186, -0.40771623769631754, 0.00234020587343436, -0.1579884899350313, 0.05325282207855847, -0.19548364669160667, -0.06653925850987434, 0.3165096470799584, 0.11472400422566212, 0.2391739355830046, 0.06627935745681708, 0.32736183250179657, 0.12602558120583685, 0.12326603662580825, 0.10887004838754924, 0.3703768534155992, 0.11147580933398925, 0.10611858256877615, -0.2644790245506626, 0.04170293970606648, 0.029917226230295805] |
707.3392 | Neon Atoms Oscillating Inside Carbon and Boron-Nitride Nanotubes: A
Fully Atomistic Molecular Dynamics Investigation | In the present work we discuss based on extensive fully atomistic molecular
dynamics simulations the dynamics of Neon atoms oscillating inside
(5,5)single-walled carbon nanotubes (CNTs) and boron-nitride (BNNT) ones. Our
results show that sustained high frequency oscillatory regimes are possible for
a large range of temperatures. Our results also show that the general features
of the oscillations are quite similar to CNT and BNNT, in contrast with some
speculations in previous work literature about the importance of broken
symmetry and chirality exhibited by BNNTs.
| cond-mat.mtrl-sci | in the present work we discuss based on extensive fully atomistic molecular dynamics simulations the dynamics of neon atoms oscillating inside 55singlewalled carbon nanotubes cnts and boronnitride bnnt ones our results show that sustained high frequency oscillatory regimes are possible for a large range of temperatures our results also show that the general features of the oscillations are quite similar to cnt and bnnt in contrast with some speculations in previous work literature about the importance of broken symmetry and chirality exhibited by bnnts | [['in', 'the', 'present', 'work', 'we', 'discuss', 'based', 'on', 'extensive', 'fully', 'atomistic', 'molecular', 'dynamics', 'simulations', 'the', 'dynamics', 'of', 'neon', 'atoms', 'oscillating', 'inside', '55singlewalled', 'carbon', 'nanotubes', 'cnts', 'and', 'boronnitride', 'bnnt', 'ones', 'our', 'results', 'show', 'that', 'sustained', 'high', 'frequency', 'oscillatory', 'regimes', 'are', 'possible', 'for', 'a', 'large', 'range', 'of', 'temperatures', 'our', 'results', 'also', 'show', 'that', 'the', 'general', 'features', 'of', 'the', 'oscillations', 'are', 'quite', 'similar', 'to', 'cnt', 'and', 'bnnt', 'in', 'contrast', 'with', 'some', 'speculations', 'in', 'previous', 'work', 'literature', 'about', 'the', 'importance', 'of', 'broken', 'symmetry', 'and', 'chirality', 'exhibited', 'by', 'bnnts']] | [-0.11320441772779787, 0.16207574252936854, -0.03991683078256537, 0.0036314767056021347, 0.008178005129637489, -0.10931906295401683, 0.054864233429824195, 0.4797597657664713, -0.20774992862828526, -0.2900245129523507, 0.046852100434354005, -0.2693132322957649, -0.18598407111972212, 0.19467399164428373, -0.0059670633243688615, 0.011524848696068827, 0.11160398429506514, -0.058299461235881346, -0.04204015862491229, -0.20698081071107052, 0.2492204650967236, 0.06531723226274712, 0.32789017869361553, 0.11487777578835208, 0.008230600616872221, -0.09721737119357989, 0.050963990999026654, 0.03623632560428008, -0.17669020880382585, 0.11879943335900106, 0.23576394094333772, -0.0549151035564312, 0.2115726601108011, -0.5122037999421717, -0.24625970118017082, -0.0071619533518531234, 0.149382861238534, 0.16216252785153598, -0.09473705644219979, -0.27439970967460825, 0.07170722158962345, -0.12735712398068014, -0.14222671277260027, -0.10430540026345077, 0.026465151627289962, 0.0664252905534154, -0.18807499707502548, 0.10286480080895967, 0.0730469406176364, 0.07336485204679599, -0.08347228337191494, -0.14880583338658268, -0.047698676490774715, 0.05467555863384427, 0.06905815502381828, -0.034049689881952415, 0.21056836723007755, -0.11500556682901322, -0.10123819122315351, 0.3840631076460143, -0.07957706189186997, -0.11845974308853767, 0.23491554768161332, -0.18077618923285102, -0.1386882232653583, 0.13956581608740143, 0.07891617101583495, 0.1390870539471507, -0.11522821188169385, 0.019253602389566016, -0.05556250719286232, 0.14671953739486185, 0.0938665375719408, 0.06921202606165287, 0.2233077098043209, 0.19036818549306278, -0.011151328548250428, 0.1275030785879816, -0.06473766800004944, -0.10722080532935481, -0.23275280631629816, -0.1299254760561309, -0.1753724554822926, 0.04626503345522895, -0.05055895821329526, -0.13531505247909037, 0.3975487539252962, 0.17289767061438727, 0.1905791420315628, 0.03232951940272946, 0.24772551288850694, 0.034997975209683, 0.060403339744332325, 0.01684032832496766, 0.27262135964982404, 0.14226548041424614, 0.08649899255686316, -0.26421152710555545, 0.03180883866201817, -0.06507666991372783] |
707.3393 | Predicting C-H/$\pi$ interactions with nonlocal density functional
theory | We examine the performance of a recently developed nonlocal density
functional in predicting a model noncovalent interaction, the weak bond between
an aromatic $\pi$ system and an aliphatic C-H group. The new functional is a
significant improvement over traditional density functionals, providing results
which compare favorably to high-level quantum-chemistry techniques but at
considerably lower computational cost. Interaction energies in several model
C-H/$\pi$ systems are in generally good agreement with coupled-cluster
calculations, though equilibrium distances are consistently overpredicted when
using the revPBE functional for exchange. The new functional correctly predicts
changes in energy upon addition of halogen substituents.
| cond-mat.mtrl-sci | we examine the performance of a recently developed nonlocal density functional in predicting a model noncovalent interaction the weak bond between an aromatic pi system and an aliphatic ch group the new functional is a significant improvement over traditional density functionals providing results which compare favorably to highlevel quantumchemistry techniques but at considerably lower computational cost interaction energies in several model chpi systems are in generally good agreement with coupledcluster calculations though equilibrium distances are consistently overpredicted when using the revpbe functional for exchange the new functional correctly predicts changes in energy upon addition of halogen substituents | [['we', 'examine', 'the', 'performance', 'of', 'a', 'recently', 'developed', 'nonlocal', 'density', 'functional', 'in', 'predicting', 'a', 'model', 'noncovalent', 'interaction', 'the', 'weak', 'bond', 'between', 'an', 'aromatic', 'pi', 'system', 'and', 'an', 'aliphatic', 'ch', 'group', 'the', 'new', 'functional', 'is', 'a', 'significant', 'improvement', 'over', 'traditional', 'density', 'functionals', 'providing', 'results', 'which', 'compare', 'favorably', 'to', 'highlevel', 'quantumchemistry', 'techniques', 'but', 'at', 'considerably', 'lower', 'computational', 'cost', 'interaction', 'energies', 'in', 'several', 'model', 'chpi', 'systems', 'are', 'in', 'generally', 'good', 'agreement', 'with', 'coupledcluster', 'calculations', 'though', 'equilibrium', 'distances', 'are', 'consistently', 'overpredicted', 'when', 'using', 'the', 'revpbe', 'functional', 'for', 'exchange', 'the', 'new', 'functional', 'correctly', 'predicts', 'changes', 'in', 'energy', 'upon', 'addition', 'of', 'halogen', 'substituents']] | [-0.08373922498215028, 0.05341494833053205, -0.09067978550555165, 0.11962480532586306, 0.02840615109031655, -0.14223454532107896, 0.05987214304737209, 0.4081603908508094, -0.23961789391877264, -0.33910448241441216, -0.05884954361149024, -0.32498074337340815, -0.12535042688250542, 0.1574005510864453, 0.003312493500734209, 0.028300743659276553, 0.07120575165116833, 0.004815265361085227, -0.09788276715331336, -0.21346003694469398, 0.23770535826687844, 0.12873532514558317, 0.29135634373278196, 0.09512475745502821, -0.0016045257564365248, 0.007401134938808139, 0.028745541358654647, 0.050487030892796124, -0.13272533909964962, 0.1899346083867845, 0.2739163365625517, -0.021721226304827125, 0.27477372702710406, -0.4811867855527659, -0.24838761125028747, 0.026624196043391665, 0.07871897012648202, 0.1379618086916942, -0.043277510393833374, -0.24840009373795127, 0.05130590504088161, -0.2236504773417315, -0.08555878961420398, -0.1328537596615281, 0.01188199016620818, 0.07445031836552103, -0.2578337649651563, 0.13068697843508623, -0.05091135901130121, 0.07378008599882434, -0.1123099106810411, -0.20701829047715195, -0.05275033817136871, 0.0797443512059657, 0.05037040082430563, 0.07341745825119547, 0.16095684177827896, -0.11839496070691913, -0.07901978737569039, 0.3773787357105115, -0.1112057122416295, -0.13710006899152374, 0.2684997243845125, -0.07445132018057342, -0.19077790950031318, 0.1842792854673162, 0.09670245197611217, 0.08514684650413308, -0.1773289486115676, 0.0954174713427249, 0.015214372450274597, 0.2181600704693149, 0.03724872252721455, 0.03405714358529256, 0.12064733552343222, 0.16383512988542542, 0.06261143566483689, 0.060344406962874776, -0.0520783811135544, -0.1326969481006111, -0.22604338849712277, -0.14706860963716029, -0.14631489442526988, -0.0364400883752507, -0.1057975431374627, -0.14232036830454142, 0.34968594381028845, 0.12150605937667652, 0.14465243508079156, 0.07132770612082184, 0.25487050377135523, 0.10497266888983317, 0.0854953129622202, 0.04935126962334028, 0.2387277519812846, 0.13386705728036533, 0.023658392234398147, -0.23890013519804157, 0.10589400307664205, 0.037782870055435555] |
707.3394 | Turan's theorem inverted | Turan's theorem implies that every graph of order n with more edges than the
r-partite Turan graph contains a complete graph of order r+1. We show that the
same premise implies the existence of much larger graphs. We also prove
corresponding stability theorems. These results complete work started by Erdos
in 1963.
| math.CO | turans theorem implies that every graph of order n with more edges than the rpartite turan graph contains a complete graph of order r1 we show that the same premise implies the existence of much larger graphs we also prove corresponding stability theorems these results complete work started by erdos in 1963 | [['turans', 'theorem', 'implies', 'that', 'every', 'graph', 'of', 'order', 'n', 'with', 'more', 'edges', 'than', 'the', 'rpartite', 'turan', 'graph', 'contains', 'a', 'complete', 'graph', 'of', 'order', 'r1', 'we', 'show', 'that', 'the', 'same', 'premise', 'implies', 'the', 'existence', 'of', 'much', 'larger', 'graphs', 'we', 'also', 'prove', 'corresponding', 'stability', 'theorems', 'these', 'results', 'complete', 'work', 'started', 'by', 'erdos', 'in', '1963']] | [-0.15844245955948003, 0.08903362090775492, -0.09645585912781265, 0.09422595554720968, -0.09861307393293828, -0.11235546343064365, 0.04623115098533722, 0.30668478964183193, -0.17951335918265754, -0.31618703566849804, 0.074941009988274, -0.33612007898493457, -0.18211400942303813, 0.12026034510479523, -0.15347963073649085, 0.009426560145444594, 0.15501607048253602, 0.09508653364789027, 0.009540456615818234, -0.31453935397159793, 0.27550926965732986, -0.0674857973622588, 0.16984336712182715, 0.12340497639245139, -0.0068194505113821765, 0.07180377499809346, -0.00865669591495624, 0.08812867304704224, -0.2358612669914482, 0.114367915245776, 0.24428021606469813, 0.16093038100874624, 0.3142026668557754, -0.4030121078131532, -0.16397065848398668, 0.23088773737589902, 0.11110945303852741, 0.07542962013170697, 0.04691033340098399, -0.23254967717310557, 0.19594415148290303, -0.09078718589332241, -0.17432799925490355, 0.016857377629583843, 0.08939689311843652, -0.007730055385484145, -0.2587212396678157, 0.044575746506430175, 0.25166881204439473, 0.04967848409488887, 0.04045526782731311, -0.1678170974796208, -0.07481928784937526, 0.05432868742634757, -0.04292796736654754, 0.052976833819859445, 0.003961093239083242, -0.06124575487550688, -0.18914642045274377, 0.32398586470383006, -0.037763094333898226, -0.06845435326417479, 0.08771225917511262, -0.20126916359787664, -0.2515836909520798, 0.10537986662865688, 0.06491011841437565, 0.17611732565385935, -0.06463080669681613, 0.10952047838901098, -0.16938792992956364, 0.16775491886521474, 0.2069635364191177, 0.059528133733412966, 0.06098983884574129, 0.11353034246712923, 0.2192593938850153, 0.2231104376125866, 0.08204630564432591, 0.0003771865740418434, -0.28869677240100616, -0.11333477398595558, -0.2532304061460309, 0.13592954631894827, -0.22095359507231757, -0.13891905259627563, 0.3886730276370564, 0.14706765117947584, 0.14777200473830676, 0.16056902305437967, 0.1645638034141694, 0.08293682432626016, 0.024807816604152322, 0.22658019970493534, 0.1531839962117374, 0.23443841750178343, 0.025210188397278007, -0.0668191712645169, 0.037092247346523576, 0.20598849032718974] |
707.3395 | Classical Spinning Branes in Curved Backgrounds | The dynamics of a classical branelike object in a curved background is
derived from the covariant stress-energy conservation of the brane matter. The
world sheet equations and boundary conditions are obtained in the pole-dipole
approximation, where nontrivial brane thickness gives rise to its intrinsic
angular momentum. It is shown that intrinsic angular momentum couples to both,
the background curvature and the brane orbital degrees of freedom. The whole
procedure is manifestly covariant with respect to spacetime diffeomorphisms and
world sheet reparametrizations. In addition, two extra gauge symmetries are
discovered and utilized. The examples of the point particle and the string in 4
spacetime dimensions are analyzed in more detail. A particular attention is
paid to the Nambu-Goto string with massive spinning particles attached to its
ends.
| gr-qc hep-th | the dynamics of a classical branelike object in a curved background is derived from the covariant stressenergy conservation of the brane matter the world sheet equations and boundary conditions are obtained in the poledipole approximation where nontrivial brane thickness gives rise to its intrinsic angular momentum it is shown that intrinsic angular momentum couples to both the background curvature and the brane orbital degrees of freedom the whole procedure is manifestly covariant with respect to spacetime diffeomorphisms and world sheet reparametrizations in addition two extra gauge symmetries are discovered and utilized the examples of the point particle and the string in 4 spacetime dimensions are analyzed in more detail a particular attention is paid to the nambugoto string with massive spinning particles attached to its ends | [['the', 'dynamics', 'of', 'a', 'classical', 'branelike', 'object', 'in', 'a', 'curved', 'background', 'is', 'derived', 'from', 'the', 'covariant', 'stressenergy', 'conservation', 'of', 'the', 'brane', 'matter', 'the', 'world', 'sheet', 'equations', 'and', 'boundary', 'conditions', 'are', 'obtained', 'in', 'the', 'poledipole', 'approximation', 'where', 'nontrivial', 'brane', 'thickness', 'gives', 'rise', 'to', 'its', 'intrinsic', 'angular', 'momentum', 'it', 'is', 'shown', 'that', 'intrinsic', 'angular', 'momentum', 'couples', 'to', 'both', 'the', 'background', 'curvature', 'and', 'the', 'brane', 'orbital', 'degrees', 'of', 'freedom', 'the', 'whole', 'procedure', 'is', 'manifestly', 'covariant', 'with', 'respect', 'to', 'spacetime', 'diffeomorphisms', 'and', 'world', 'sheet', 'reparametrizations', 'in', 'addition', 'two', 'extra', 'gauge', 'symmetries', 'are', 'discovered', 'and', 'utilized', 'the', 'examples', 'of', 'the', 'point', 'particle', 'and', 'the', 'string', 'in', '4', 'spacetime', 'dimensions', 'are', 'analyzed', 'in', 'more', 'detail', 'a', 'particular', 'attention', 'is', 'paid', 'to', 'the', 'nambugoto', 'string', 'with', 'massive', 'spinning', 'particles', 'attached', 'to', 'its', 'ends']] | [-0.17859141624140892, 0.16847995495689766, -0.09164091018730745, 0.09956489433626836, -0.12302287511475798, -0.12890184730927032, -0.06826703803288559, 0.327431736141628, -0.18866437886442458, -0.28381231240789584, 0.038189322210013095, -0.28515712703977314, -0.10493976466121181, 0.10160104132124356, -0.08138924724762402, 0.029600335778446778, 0.0010004471266819607, 0.081444381654913, -0.06846165759599812, -0.23748728223440665, 0.3354031073247334, 0.06396513641442335, 0.2749119477581218, 0.005242840392470714, 0.16405501511199252, -0.0425121727037347, -0.042591801999757685, 0.04445943653967882, -0.1145538799264325, 0.09475429957207765, 0.16948218090784928, 0.0252194844910668, 0.11740401245726158, -0.44186053675643744, -0.20662016715736142, 0.03968071068961835, 0.1460632106311442, 0.15123383835371998, -0.014943892175844147, -0.3068546658115728, 0.03196768709532325, -0.13490011453229403, -0.2146008695773263, -0.06718140704527734, 0.05393872323579022, -0.0839194378941246, -0.19907041375214854, 0.08323168670869477, 0.051483874948370076, -0.00034996597576768154, -0.08104978747008043, -0.06779191984484594, -0.13329068657069926, 0.06994295310199497, 0.16317366975145267, 0.07725334483834487, 0.16398752729098, -0.15602893787731845, -0.0803108635055463, 0.4209131376137809, -0.0392512767538724, -0.325297948830421, 0.15724364385223163, -0.1812563592028464, -0.08868870266254932, 0.15143081620113835, 0.12557137430837703, 0.14718218056839846, -0.17741979849303052, 0.20729620061909027, 0.007001204544582242, 0.10969605853149135, 0.12380892745337434, 0.06330932629117299, 0.28281151466367266, 0.09216554257981775, 0.044930178516854845, 0.14589080914285862, -0.06252147786001423, -0.1848529428095808, -0.3706470208153838, -0.1389735462550547, -0.14974843739487587, 0.09541085093200857, -0.1456509192065578, -0.16058840184349618, 0.37310847855867846, 0.1004807674145836, 0.1617833343445368, 0.0019436050206422806, 0.24358895230883112, 0.07605378543366752, 0.06081531561600665, 0.09610032037432704, 0.2579222987110298, 0.17767567399682271, 0.13320445169007317, -0.22389699740239258, -0.10914596347951346, 0.08673890404373644] |
707.3396 | Self-force of a point charge in the space-time of a symmetric wormhole | We consider the self-energy and the self-force for an electrically charged
particle at rest in the wormhole space-time. We develop general approach and
apply it to two specific profiles of the wormhole throat with singular and with
smooth curvature. The self-force for these two profiles is found in manifest
form; it is an attractive force. We also find an expression for the self-force
in the case of arbitrary symmetric throat profile. Far from the throat the
self-force is always attractive.
| gr-qc | we consider the selfenergy and the selfforce for an electrically charged particle at rest in the wormhole spacetime we develop general approach and apply it to two specific profiles of the wormhole throat with singular and with smooth curvature the selfforce for these two profiles is found in manifest form it is an attractive force we also find an expression for the selfforce in the case of arbitrary symmetric throat profile far from the throat the selfforce is always attractive | [['we', 'consider', 'the', 'selfenergy', 'and', 'the', 'selfforce', 'for', 'an', 'electrically', 'charged', 'particle', 'at', 'rest', 'in', 'the', 'wormhole', 'spacetime', 'we', 'develop', 'general', 'approach', 'and', 'apply', 'it', 'to', 'two', 'specific', 'profiles', 'of', 'the', 'wormhole', 'throat', 'with', 'singular', 'and', 'with', 'smooth', 'curvature', 'the', 'selfforce', 'for', 'these', 'two', 'profiles', 'is', 'found', 'in', 'manifest', 'form', 'it', 'is', 'an', 'attractive', 'force', 'we', 'also', 'find', 'an', 'expression', 'for', 'the', 'selfforce', 'in', 'the', 'case', 'of', 'arbitrary', 'symmetric', 'throat', 'profile', 'far', 'from', 'the', 'throat', 'the', 'selfforce', 'is', 'always', 'attractive']] | [-0.15800275620713364, 0.05157931670455582, -0.12147191567928531, 0.08580861156078753, -0.07899732841469813, -0.20030737725319342, -0.08488794008735567, 0.35717117618769406, -0.15706035611219704, -0.2518014854809735, 0.037764446112851145, -0.32429936901899054, -0.14281319612055085, 0.15180697292817058, -0.018097280530491845, 0.01646949299611151, -0.019249378915992564, 0.08447870629897807, -0.031443189531273674, -0.1576010879740352, 0.4005768858944066, 0.022429739171639086, 0.22166403983719646, 0.12214365229010582, 0.07657470984850079, 0.012930087972199545, 0.017036489362362774, 0.05659918249584735, -0.15174853006610647, 0.02763418513350189, 0.18868358684703707, 0.07106653709197416, 0.1901885757688433, -0.4482994024408981, -0.16835396288661286, 0.07505288367392496, 0.17637263756478205, 0.21012669656192884, -0.10711619272333336, -0.29154271464503834, 0.03376356812950689, -0.21025989113841206, -0.17400670263450593, -0.0616695957025513, 0.11083008385030553, -0.03299502157606184, -0.22709291940554976, 0.08153222619839653, 0.019491540535818787, -0.04120702935615554, -0.12150007474701852, -0.06937160174566089, 0.002996292954776436, 0.08098477578023448, 0.14557628040929557, 0.02835667314211605, 0.18711113544995897, -0.13252896757330745, -0.009891192172653973, 0.3713826454855734, -0.07874038203735836, -0.28636374049820007, 0.13990523592801765, -0.17035858828458003, -0.042229634075192736, 0.12438503196462988, 0.12092310020234436, 0.22762745748041197, -0.17429548939107917, 0.13241701640436077, 0.004924542922526598, 0.11612963587249396, 0.11648566685908009, -0.04219054209752358, 0.29954867644701155, 0.0550822475226596, 0.12109151914482937, 0.16713189999572933, -0.07905601403908805, -0.10464531058678403, -0.3947566067799926, -0.15409498625667767, -0.15008208744693546, 0.03198047231999226, -0.1518412684201394, -0.22200420475564897, 0.3601809012441663, 0.11771488690010301, 0.15528493628371506, 0.0512140447855927, 0.3271688067121431, 0.12408225580584258, 0.03885000734007917, 0.1388743658491876, 0.33317501393612475, 0.052323234488721934, 0.09955172078916803, -0.22535672174417415, -0.0642632658360526, 0.0499371865298599] |
707.3397 | Mixing of 1/2^- Octets under SU(3) Symmetry | We investigate the J^p=1/2^- baryons in the octets based on flavor SU(3)
symmetry. Since baryons with same quantum numbers can mix with each other, we
consider the mixing between two octets before their mixing with the singlet.
Most predicted decay widths are consistent with the experimental data, and
meanwhile we predict two possible $\Xi$ mass ranges of the two octets.
| hep-ph | we investigate the jp12 baryons in the octets based on flavor su3 symmetry since baryons with same quantum numbers can mix with each other we consider the mixing between two octets before their mixing with the singlet most predicted decay widths are consistent with the experimental data and meanwhile we predict two possible xi mass ranges of the two octets | [['we', 'investigate', 'the', 'jp12', 'baryons', 'in', 'the', 'octets', 'based', 'on', 'flavor', 'su3', 'symmetry', 'since', 'baryons', 'with', 'same', 'quantum', 'numbers', 'can', 'mix', 'with', 'each', 'other', 'we', 'consider', 'the', 'mixing', 'between', 'two', 'octets', 'before', 'their', 'mixing', 'with', 'the', 'singlet', 'most', 'predicted', 'decay', 'widths', 'are', 'consistent', 'with', 'the', 'experimental', 'data', 'and', 'meanwhile', 'we', 'predict', 'two', 'possible', 'xi', 'mass', 'ranges', 'of', 'the', 'two', 'octets']] | [-0.11914796485410382, 0.3129275700543076, -0.023316223965957762, 0.1504335208175083, -0.04524494243475298, -0.17662029541097582, 0.05427436461905018, 0.40750279985368254, -0.17695412198275637, -0.2942832881584764, -0.0011994292940168331, -0.3258540387265384, 0.024969895603135228, 0.054518882169698676, 0.10350334091732899, 0.054795405495679, 0.012361519411206246, 0.0794929152354598, -0.10524564456136432, -0.25638988917926325, 0.3526111771042148, -0.10597810558392666, 0.23458864005903404, 0.07458432797623876, -0.006321220418127874, -0.05909402063116431, -0.04318733843974769, -0.10269219262214999, -0.11460968842729927, 0.06698615556427588, 0.12346212433185429, 0.09205095621291548, 0.12004070399949948, -0.38959266170859336, -0.1217082579775403, 0.16788420079586405, 0.17654803982780626, 0.15677367080934346, -0.055490770557662474, -0.3193368930214395, 0.09037454560166225, -0.1604147097406288, -0.08920028638094664, -0.06845307536423206, -0.03375969451541702, -0.025232437811791898, -0.2673516109585762, 0.1179448599073415, -0.08848845036700367, 0.00407025075207154, -0.03685613727817933, -0.2582602203532588, -0.12177424157659213, 0.06628654429223388, 0.15891738692880608, -0.03433754207799211, 0.08612825390300713, -0.13669650962886712, -0.15401234750946363, 0.4526097774505615, -0.099051106798773, -0.1713839583680965, 0.16141024673124776, -0.16490874042889725, -0.17501271858345718, 0.055228610006937136, 0.1413932555820793, 0.048829293025967974, -0.11723471968434751, 0.027495587150527474, -0.07740281142954093, 0.18413642820281287, 0.06123700128713002, 0.12198756317763279, 0.25305106764038404, 0.14567557716121277, -0.04616623727294306, 0.059563906196854075, -0.08276515438919888, -0.1523556870650888, -0.3303385536496838, -0.10540340521062413, -0.10205341546485822, 0.019203976285643874, -0.05853548658366587, -0.05599374890637895, 0.4233889186754823, 0.11937712174064169, 0.30588969729530313, 0.05954524985669802, 0.26164698514621704, 0.060259251839791736, 0.09269361146337664, 0.0798431743013983, 0.2885904077130059, 0.21687398677070935, 0.050183170731179415, -0.2853848933087041, -0.0021342400073384245, 0.0278679155667002] |
707.3398 | Efficient coupling of photons to a single molecule and the observation
of its resonance fluorescence | Single dye molecules at cryogenic temperatures display many spectroscopic
phenomena known from free atoms and are thus promising candidates for
fundamental quantum optical studies. However, the existing techniques for the
detection of single molecules have either sacrificed the information on the
coherence of the excited state or have been inefficient. Here we show that
these problems can be addressed by focusing the excitation light near to the
absorption cross section of a molecule. Our detection scheme allows us to
explore resonance fluorescence over 9 orders of magnitude of excitation
intensity and to separate its coherent and incoherent parts. In the strong
excitation regime, we demonstrate the first observation of the Mollow triplet
from a single solid-state emitter. Under weak excitation we report the
detection of a single molecule with an incident power as faint as 150 attoWatt,
paving the way for studying nonlinear effects with only a few photons.
| quant-ph | single dye molecules at cryogenic temperatures display many spectroscopic phenomena known from free atoms and are thus promising candidates for fundamental quantum optical studies however the existing techniques for the detection of single molecules have either sacrificed the information on the coherence of the excited state or have been inefficient here we show that these problems can be addressed by focusing the excitation light near to the absorption cross section of a molecule our detection scheme allows us to explore resonance fluorescence over 9 orders of magnitude of excitation intensity and to separate its coherent and incoherent parts in the strong excitation regime we demonstrate the first observation of the mollow triplet from a single solidstate emitter under weak excitation we report the detection of a single molecule with an incident power as faint as 150 attowatt paving the way for studying nonlinear effects with only a few photons | [['single', 'dye', 'molecules', 'at', 'cryogenic', 'temperatures', 'display', 'many', 'spectroscopic', 'phenomena', 'known', 'from', 'free', 'atoms', 'and', 'are', 'thus', 'promising', 'candidates', 'for', 'fundamental', 'quantum', 'optical', 'studies', 'however', 'the', 'existing', 'techniques', 'for', 'the', 'detection', 'of', 'single', 'molecules', 'have', 'either', 'sacrificed', 'the', 'information', 'on', 'the', 'coherence', 'of', 'the', 'excited', 'state', 'or', 'have', 'been', 'inefficient', 'here', 'we', 'show', 'that', 'these', 'problems', 'can', 'be', 'addressed', 'by', 'focusing', 'the', 'excitation', 'light', 'near', 'to', 'the', 'absorption', 'cross', 'section', 'of', 'a', 'molecule', 'our', 'detection', 'scheme', 'allows', 'us', 'to', 'explore', 'resonance', 'fluorescence', 'over', '9', 'orders', 'of', 'magnitude', 'of', 'excitation', 'intensity', 'and', 'to', 'separate', 'its', 'coherent', 'and', 'incoherent', 'parts', 'in', 'the', 'strong', 'excitation', 'regime', 'we', 'demonstrate', 'the', 'first', 'observation', 'of', 'the', 'mollow', 'triplet', 'from', 'a', 'single', 'solidstate', 'emitter', 'under', 'weak', 'excitation', 'we', 'report', 'the', 'detection', 'of', 'a', 'single', 'molecule', 'with', 'an', 'incident', 'power', 'as', 'faint', 'as', '150', 'attowatt', 'paving', 'the', 'way', 'for', 'studying', 'nonlinear', 'effects', 'with', 'only', 'a', 'few', 'photons']] | [-0.09001337845394439, 0.14450317411457356, -0.038201505173551475, 0.008396157720739752, -0.01670357503777219, -0.1599339067250037, 0.06414843576400213, 0.42774614003310735, -0.2507111214740812, -0.32325214940135844, 0.04337842723062086, -0.30521419022802176, -0.05708594316761387, 0.2364186085870716, 0.042200041863169814, 0.05249328801457179, 0.046649772944432254, 0.01297996000259347, -0.009476941171718913, -0.16450792454604715, 0.2756235957817439, 0.04371880451956688, 0.27990119657447765, 0.09637868002357357, 0.10086711715730662, -0.0030964578272195883, 0.028767998091171722, -0.0656398158344264, -0.08569552377677511, 0.11428907419384986, 0.26794450250580104, 0.0446933455194183, 0.23837347657457497, -0.4322492265192842, -0.24634001723087923, 0.08372590368742601, 0.18144948602786973, 0.17862245200101184, -0.07585206547357941, -0.30320292056815046, 0.010929807392892905, -0.1161124464926763, -0.11260840964088267, -0.07738192639993252, -0.00811044974378436, 0.02129617182308229, -0.2280412661729733, 0.06384069216437638, 0.028771854806502628, 0.05309255238043497, -0.04341484823168218, -0.08737413316486857, -0.00012408799139430394, 0.09873837449845883, -0.01588140265084803, -0.02131716429957541, 0.18673608923721052, -0.1669290263498378, -0.13647959314442454, 0.37237467107086164, -0.10966411310191443, -0.08064038708107546, 0.21401343402150716, -0.15922280013045245, -0.11213847164322648, 0.21160011685679894, 0.1371042608807329, 0.1785290092151184, -0.1298449213861966, -0.007926442183324488, -0.011295360824521128, 0.20473924194890503, 0.08228599676874944, 0.14907273289832487, 0.24889011070686015, 0.17613489684220907, 0.03424894008934938, 0.15329210312228422, -0.18556665361550562, -0.028810242450531775, -0.24070375057163876, -0.13138106249381373, -0.14921839116770472, 0.0773343387904665, 0.0031678375249808793, -0.10679120839277685, 0.4051961384964523, 0.13109914122803792, 0.18743118302223297, -0.0264031188751294, 0.3421878784114646, 0.1350074825545685, 0.0894729292102892, -0.013760884518961649, 0.32409957154871066, 0.1343426376099799, 0.05811588865047245, -0.24237008159901519, 0.04105833530224658, -0.0551434462147488] |
707.3399 | Nonlinear analysis of a simple model of temperature evolution in a
satellite | We analyse a simple model of the heat transfer to and from a small satellite
orbiting round a solar system planet. Our approach considers the satellite
isothermal, with external heat input from the environment and from internal
energy dissipation, and output to the environment as black-body radiation. The
resulting nonlinear ordinary differential equation for the satellite's
temperature is analysed by qualitative, perturbation and numerical methods,
which show that the temperature approaches a periodic pattern (attracting limit
cycle). This approach can occur in two ways, according to the values of the
parameters: (i) a slow decay towards the limit cycle over a time longer than
the period, or (ii) a fast decay towards the limit cycle over a time shorter
than the period. In the first case, an exactly soluble average equation is
valid. We discuss the consequences of our model for the thermal stability of
satellites.
| physics.space-ph math-ph math.MP nlin.CD | we analyse a simple model of the heat transfer to and from a small satellite orbiting round a solar system planet our approach considers the satellite isothermal with external heat input from the environment and from internal energy dissipation and output to the environment as blackbody radiation the resulting nonlinear ordinary differential equation for the satellites temperature is analysed by qualitative perturbation and numerical methods which show that the temperature approaches a periodic pattern attracting limit cycle this approach can occur in two ways according to the values of the parameters i a slow decay towards the limit cycle over a time longer than the period or ii a fast decay towards the limit cycle over a time shorter than the period in the first case an exactly soluble average equation is valid we discuss the consequences of our model for the thermal stability of satellites | [['we', 'analyse', 'a', 'simple', 'model', 'of', 'the', 'heat', 'transfer', 'to', 'and', 'from', 'a', 'small', 'satellite', 'orbiting', 'round', 'a', 'solar', 'system', 'planet', 'our', 'approach', 'considers', 'the', 'satellite', 'isothermal', 'with', 'external', 'heat', 'input', 'from', 'the', 'environment', 'and', 'from', 'internal', 'energy', 'dissipation', 'and', 'output', 'to', 'the', 'environment', 'as', 'blackbody', 'radiation', 'the', 'resulting', 'nonlinear', 'ordinary', 'differential', 'equation', 'for', 'the', 'satellites', 'temperature', 'is', 'analysed', 'by', 'qualitative', 'perturbation', 'and', 'numerical', 'methods', 'which', 'show', 'that', 'the', 'temperature', 'approaches', 'a', 'periodic', 'pattern', 'attracting', 'limit', 'cycle', 'this', 'approach', 'can', 'occur', 'in', 'two', 'ways', 'according', 'to', 'the', 'values', 'of', 'the', 'parameters', 'i', 'a', 'slow', 'decay', 'towards', 'the', 'limit', 'cycle', 'over', 'a', 'time', 'longer', 'than', 'the', 'period', 'or', 'ii', 'a', 'fast', 'decay', 'towards', 'the', 'limit', 'cycle', 'over', 'a', 'time', 'shorter', 'than', 'the', 'period', 'in', 'the', 'first', 'case', 'an', 'exactly', 'soluble', 'average', 'equation', 'is', 'valid', 'we', 'discuss', 'the', 'consequences', 'of', 'our', 'model', 'for', 'the', 'thermal', 'stability', 'of', 'satellites']] | [-0.12954406206630018, 0.1275006388929036, -0.08926347554151019, 0.05561417098275118, -0.024136437294519926, -0.09299193959912821, 0.08174876688679757, 0.3376014547371497, -0.25696861266783655, -0.30567761214628614, 0.10270588170284124, -0.2726585648201202, -0.09830814027482618, 0.24205479409054484, -0.03496037661457257, 0.027740355290106516, 0.08984369862735374, 0.05853485616963765, -0.03953196803723424, -0.1985813479006214, 0.270252679195574, 0.0718784608418913, 0.20222578214302864, -0.04092682553263866, 0.08850824872784521, -0.0228250533197241, -0.004152776488846117, 0.007242235046847682, -0.14179010756900062, 0.04125481551155856, 0.18675838295395855, 0.05242475331441997, 0.24406270600523647, -0.43943350287537053, -0.24352533781058985, 0.09911545772386128, 0.11786807863175716, 0.12330926605420545, -0.015477345318673816, -0.23044012930748142, 0.03553414178935632, -0.1856618477159167, -0.15540732920794964, 0.0003038199159176382, 0.07574366994380746, 0.010741926614858517, -0.26351540537602075, 0.09698582202043027, 0.08960972176482009, 0.05712591211171183, -0.11317482781245641, -0.07176436108859154, -0.04115087477560474, 0.11209674301550863, 0.07054756903440423, 0.0024892000022203953, 0.15706953973739013, -0.09848298776212264, -0.06704241395864176, 0.3849542651019276, -0.1387944503981151, -0.1262263185105427, 0.19504021692379978, -0.15314178305282578, -0.087962049697462, 0.14675916666292574, 0.15269608597896278, 0.11697266246064579, -0.146969774342461, 0.044946221728834695, 0.0025233008152460807, 0.19643162250078652, 0.06352063286284061, -0.009528938078079117, 0.24653077864866346, 0.18284608684288822, 0.0869310893730758, 0.1365283433960317, -0.09946664610430311, -0.12213432487524561, -0.2697263624110859, -0.1432701523921274, -0.14195375107962332, 0.0808004852135551, -0.10645240240958392, -0.1341766719004675, 0.4178724069154681, 0.15165128964733027, 0.20492324962803762, 0.07211689667039461, 0.3599779857290679, 0.16921603824538242, 0.04285618415192465, 0.10642774122741634, 0.23748147015759644, 0.10586083148070292, 0.13923808666143872, -0.26056050927193247, 0.04150308882785731, 0.05729263895255041] |
707.34 | The Physics of Maxwell's demon and information | Maxwell's demon was born in 1867 and still thrives in modern physics. He
plays important roles in clarifying the connections between two theories:
thermodynamics and information. Here, we present the history of the demon and a
variety of interesting consequences of the second law of thermodynamics, mainly
in quantum mechanics, but also in the theory of gravity. We also highlight some
of the recent work that explores the role of information, illuminated by
Maxwell's demon, in the arena of quantum information theory.
| physics.hist-ph quant-ph | maxwells demon was born in 1867 and still thrives in modern physics he plays important roles in clarifying the connections between two theories thermodynamics and information here we present the history of the demon and a variety of interesting consequences of the second law of thermodynamics mainly in quantum mechanics but also in the theory of gravity we also highlight some of the recent work that explores the role of information illuminated by maxwells demon in the arena of quantum information theory | [['maxwells', 'demon', 'was', 'born', 'in', '1867', 'and', 'still', 'thrives', 'in', 'modern', 'physics', 'he', 'plays', 'important', 'roles', 'in', 'clarifying', 'the', 'connections', 'between', 'two', 'theories', 'thermodynamics', 'and', 'information', 'here', 'we', 'present', 'the', 'history', 'of', 'the', 'demon', 'and', 'a', 'variety', 'of', 'interesting', 'consequences', 'of', 'the', 'second', 'law', 'of', 'thermodynamics', 'mainly', 'in', 'quantum', 'mechanics', 'but', 'also', 'in', 'the', 'theory', 'of', 'gravity', 'we', 'also', 'highlight', 'some', 'of', 'the', 'recent', 'work', 'that', 'explores', 'the', 'role', 'of', 'information', 'illuminated', 'by', 'maxwells', 'demon', 'in', 'the', 'arena', 'of', 'quantum', 'information', 'theory']] | [-0.1217386006667256, 0.11909949023094846, -0.13408885724138378, 0.07311264897991972, -0.06364207493748925, -0.13069294585005903, 0.03200867905554066, 0.26691289133642143, -0.2600536520149922, -0.3328388479152104, 0.05176167064289585, -0.30183072251881043, -0.234470026244863, 0.20106794321682395, -0.10049393284134567, 0.017656827430672397, -0.0240358895644909, 0.05755222838999499, -0.02097146317260567, -0.23070790794132867, 0.339903259979243, 0.1271656210074292, 0.26471872909971306, 0.10964742628280741, 0.12799724982306077, -0.006316643577387057, -0.05854238070002416, 0.02170986447074428, -0.12494970338247652, 0.13630479200893628, 0.26099929485538204, 0.1337325367622259, 0.32034992036500537, -0.5140123823884784, -0.24150155289325773, 0.01516864324988025, 0.07789872819557786, 0.13862360248387587, -0.12635376755284464, -0.24940440851468137, -0.04066115994824142, -0.14299972562073934, -0.11024454163271002, -0.04426333549568748, 0.03893446505478606, -0.03819904203254094, -0.09783641302889985, 0.093786618852968, 0.12810276309028268, 0.07344708423607232, -0.05535062276417526, -0.03900806940296983, 0.04543210881784922, 0.15939474593075673, 0.033159024598894686, -0.032889580046019815, 0.12121475449331649, -0.21920682534166588, -0.13675821515754227, 0.40845613013498666, -0.004610479840577194, -0.15274088451547957, 0.13814079253252867, -0.18600631261630574, -0.2049311287473978, -0.017569126640787212, 0.1034700672437505, 0.10140927112847638, -0.16775087953158996, 0.1293392431412585, -0.050145494047461485, 0.14020906207038136, 0.060714739692829006, 0.10307906260827511, 0.288244200416091, 0.15057240019938567, -0.07477886485299323, 0.12116177243793883, -0.018731361050613043, -0.24398909157096613, -0.3534729340704294, -0.24135165473037376, -0.15797788938280286, 0.09509590096635426, -0.06311455181542154, -0.08466376104142244, 0.3197802723067381, 0.21608620398768746, 0.10213533610605248, -0.06912338870390114, 0.2576275798719285, 0.06118706354258082, 0.006067750986847208, 0.025864360058998188, 0.3177151647925224, 0.21070287420085018, 0.19096045431442468, -0.22826769884722592, 0.02681024602710883, 0.08308102351772349] |
707.3401 | Limit laws for boolean convolutions | We study the distributional behavior for products, and for sums of boolean
independent random variables in an infinitesimal triangular array. We show that
the limit laws of boolean convolutions are determined by the limit laws of free
convolutions, and vice versa. We further use these results to show several
connections between the limiting distributional behavior of classical
convolutions and that of boolean convolutions. The proof of our results is
based on the analytical apparatus developed for free convolutions.
| math.OA math.PR | we study the distributional behavior for products and for sums of boolean independent random variables in an infinitesimal triangular array we show that the limit laws of boolean convolutions are determined by the limit laws of free convolutions and vice versa we further use these results to show several connections between the limiting distributional behavior of classical convolutions and that of boolean convolutions the proof of our results is based on the analytical apparatus developed for free convolutions | [['we', 'study', 'the', 'distributional', 'behavior', 'for', 'products', 'and', 'for', 'sums', 'of', 'boolean', 'independent', 'random', 'variables', 'in', 'an', 'infinitesimal', 'triangular', 'array', 'we', 'show', 'that', 'the', 'limit', 'laws', 'of', 'boolean', 'convolutions', 'are', 'determined', 'by', 'the', 'limit', 'laws', 'of', 'free', 'convolutions', 'and', 'vice', 'versa', 'we', 'further', 'use', 'these', 'results', 'to', 'show', 'several', 'connections', 'between', 'the', 'limiting', 'distributional', 'behavior', 'of', 'classical', 'convolutions', 'and', 'that', 'of', 'boolean', 'convolutions', 'the', 'proof', 'of', 'our', 'results', 'is', 'based', 'on', 'the', 'analytical', 'apparatus', 'developed', 'for', 'free', 'convolutions']] | [-0.08074105329190691, 0.11499362615200553, -0.08565328784215336, 0.06886857271176548, -0.04425914124705088, -0.05409290327523381, 0.07009094506979753, 0.3760669566690922, -0.31950809276447845, -0.18955141465919903, 0.13686423922459093, -0.27944616424158597, -0.20503346626766217, 0.23923206555609328, -0.05464574735229596, 0.10315318123843426, 0.0422298726804841, 0.02767424022134107, -0.09640472700508933, -0.23476526833688602, 0.3552389826912146, -0.02562873803365689, 0.2795566802319044, 0.026047985552931772, 0.1180240309689767, 0.06148215062104356, -0.0703497697861913, 0.011476559182390189, -0.13591887268557912, 0.15898109579649874, 0.18612857616673678, 0.09639784853481195, 0.22617977828933641, -0.4728862478230626, -0.161825623924438, 0.08733072227392441, 0.1361567900987724, 0.02366039369446345, -0.003926964687147679, -0.2912233397484017, 0.09934331642654844, -0.1952817348870807, -0.1025770883641552, -0.15299401374963614, 0.03772893893078734, 0.14199150522323087, -0.2948891270834093, 0.05396804661275102, 0.17739040151727983, 0.04772921762644099, -0.054812176630665094, -0.13293398011666843, 0.053099965336374365, 0.1402417722170074, 0.04008841264742212, -0.08135864686949226, 0.12130717401249477, -0.12710574738538036, -0.14552306011692287, 0.29350613988338947, -0.03800590683516557, -0.2801083541689411, 0.1743496525883436, -0.17881174055405724, -0.1727743465393686, 0.04920335460263185, 0.13753860945311877, 0.09254539448682828, -0.12090243265414849, 0.10777601484248105, -0.07621682691984834, 0.14638316182371897, 0.10325588428606398, 0.036487531227370106, 0.12797016702974454, 0.10027952065977913, 0.06360082312200505, 0.1960224274557848, -0.02706541131453541, -0.1261677884329588, -0.32744475277379537, -0.16952002523705745, -0.19615091156596556, 0.07281555861491376, -0.18398829009805548, -0.20272113867581654, 0.3528930055789458, 0.14222883073932444, 0.17192771691733447, 0.19497781531073344, 0.22993264433283073, 0.15566682171536228, 0.0393818455378119, 0.036389438405585214, 0.15785193282107896, 0.19665975488113382, 0.056705909357286796, -0.12491332353928532, 0.026468260559993677, 0.12874322993537554] |
707.3402 | Synchronized Collective Behavior via Low-cost Communication | An important natural phenomenon surfaces that satisfactory synchronization of
self-driven particles can be achieved via sharply reduced communication cost,
especially for high density particle groups with low external noise.
Statistical numerical evidence illustrates that a highly efficient manner is to
distribute the communication messages as evenly as possible along the whole
dynamic process, since it minimizes the communication redundancy. More
surprisingly, it is discovered that there exist some abnormal regions where
moderately decreasing the communication cost can even improve the
synchronization performance. A phase diagram on the noise-density parameter
space is given, where the dynamical behaviors can be divided into three
qualitatively different phases: normal phase where better synchronization
corresponds to higher communication cost, abnormal phase where moderately
decreasing communication cost could even improve the synchronization, and the
disordered phase where no coherence among individuals is observed.
| physics.data-an physics.gen-ph | an important natural phenomenon surfaces that satisfactory synchronization of selfdriven particles can be achieved via sharply reduced communication cost especially for high density particle groups with low external noise statistical numerical evidence illustrates that a highly efficient manner is to distribute the communication messages as evenly as possible along the whole dynamic process since it minimizes the communication redundancy more surprisingly it is discovered that there exist some abnormal regions where moderately decreasing the communication cost can even improve the synchronization performance a phase diagram on the noisedensity parameter space is given where the dynamical behaviors can be divided into three qualitatively different phases normal phase where better synchronization corresponds to higher communication cost abnormal phase where moderately decreasing communication cost could even improve the synchronization and the disordered phase where no coherence among individuals is observed | [['an', 'important', 'natural', 'phenomenon', 'surfaces', 'that', 'satisfactory', 'synchronization', 'of', 'selfdriven', 'particles', 'can', 'be', 'achieved', 'via', 'sharply', 'reduced', 'communication', 'cost', 'especially', 'for', 'high', 'density', 'particle', 'groups', 'with', 'low', 'external', 'noise', 'statistical', 'numerical', 'evidence', 'illustrates', 'that', 'a', 'highly', 'efficient', 'manner', 'is', 'to', 'distribute', 'the', 'communication', 'messages', 'as', 'evenly', 'as', 'possible', 'along', 'the', 'whole', 'dynamic', 'process', 'since', 'it', 'minimizes', 'the', 'communication', 'redundancy', 'more', 'surprisingly', 'it', 'is', 'discovered', 'that', 'there', 'exist', 'some', 'abnormal', 'regions', 'where', 'moderately', 'decreasing', 'the', 'communication', 'cost', 'can', 'even', 'improve', 'the', 'synchronization', 'performance', 'a', 'phase', 'diagram', 'on', 'the', 'noisedensity', 'parameter', 'space', 'is', 'given', 'where', 'the', 'dynamical', 'behaviors', 'can', 'be', 'divided', 'into', 'three', 'qualitatively', 'different', 'phases', 'normal', 'phase', 'where', 'better', 'synchronization', 'corresponds', 'to', 'higher', 'communication', 'cost', 'abnormal', 'phase', 'where', 'moderately', 'decreasing', 'communication', 'cost', 'could', 'even', 'improve', 'the', 'synchronization', 'and', 'the', 'disordered', 'phase', 'where', 'no', 'coherence', 'among', 'individuals', 'is', 'observed']] | [-0.2129100841934012, 0.21858412400326735, -0.06796210427145365, 0.07941705693012997, -0.052809717450359395, -0.22252688669644105, 0.10175501103239025, 0.38430125250563246, -0.26632517180405557, -0.317348867041908, 0.0983542092692326, -0.2515172158189885, -0.1868288733633509, 0.17039128756304683, -0.11168672266306684, 0.0029998378663816873, 0.05013629599553122, 0.04846181511632441, -0.04344913315906203, -0.2449528476504116, 0.22337331197238253, 0.05134043338993626, 0.31910264776225256, 0.005867652957985068, 0.049561256433234495, -0.01631823304015758, 0.04294255368907162, 0.03928194216581794, -0.061817492027062944, 0.025055091317934805, 0.3298865430166616, 0.10910159696290708, 0.26585857500322163, -0.423274238484309, -0.23764719565481165, 0.17390614896944231, 0.21626020058551254, 0.05770915003685171, -0.05764114847443125, -0.25816490957239535, 0.051313326733447066, -0.15546034215025, -0.06539422434584327, -0.06525777255678002, 0.008719865583664025, 0.0004669651962638668, -0.2606712409555364, 0.09083755789769758, 0.019482955338924725, 0.049683290473801794, -0.01168600978631088, -0.05343600218389731, -0.05396651384858962, 0.17169019150862688, 0.022575078572973487, 0.05186474258730681, 0.1401943466735247, -0.12654181834830738, -0.06484491883191582, 0.3959792527671465, -0.005301321650382734, -0.16566709538111515, 0.2356319682953386, -0.12230929805264168, -0.1078736012294779, 0.19691083552863667, 0.1628166767060226, 0.04475091676474275, -0.13867797109175145, -0.0009439493966484032, 0.04019376532404054, 0.22536915864946103, 0.06051469421671594, 0.08841745900452438, 0.15920785835581175, 0.21535685648525352, 0.13054338135578505, 0.14363636919947834, -0.04750939698116032, -0.15741912064849578, -0.22587594784015572, -0.1512604027589345, -0.19115782895139144, -0.017078057838850382, -0.15044189591004825, -0.11689805738826502, 0.34775037826586735, 0.12222004999485388, 0.1887070156962556, 0.058591924832024446, 0.32737961368333984, 0.1136969817812582, 0.05435540515463799, 0.10188863824698595, 0.22802583032791837, 0.05331349103396539, 0.08742694450912121, -0.22061742295687403, 0.13461172640467445, -0.04583563013104996] |
707.3403 | On the noncommutative spin geometry of the standard Podles sphere and
index computations | The purpose of the paper is twofold: First, known results of the
noncommutative spin geometry of the standard Podles sphere are extended by
discussing Poincare duality and orientability. In the discussion of
orientability, Hochschild homology is replaced by a twisted version which
avoids the dimension drop. The twisted Hochschild cycle representing an
orientation is related to the volume form of the distinguished covariant
differential calculus. Integration over the volume form defines a twisted
cyclic 2-cocycle which computes the q-winding numbers of quantum line bundles.
Second, a "twisted" Chern character from equivariant K0-theory to even twisted
cyclic homology is introduced which gives rise to a Chern-Connes pairing
between equivariant K0-theory and twisted cyclic cohomology. The Chern-Connes
pairing between the equivariant K0-group of the standard Podles sphere and the
generators of twisted cyclic cohomology relative to the modular automorphism
and its inverse are computed. This includes the pairings with the twisted
cyclic 2-cocycle associated to the volume form, and the one corresponding to
the "no-dimension drop" case. From explicit index computations, it follows that
the pairings with these cocycles give the q-indices of the known equivariant
0-summable Dirac operator on the standard Podles sphere.
| math.QA math.KT | the purpose of the paper is twofold first known results of the noncommutative spin geometry of the standard podles sphere are extended by discussing poincare duality and orientability in the discussion of orientability hochschild homology is replaced by a twisted version which avoids the dimension drop the twisted hochschild cycle representing an orientation is related to the volume form of the distinguished covariant differential calculus integration over the volume form defines a twisted cyclic 2cocycle which computes the qwinding numbers of quantum line bundles second a twisted chern character from equivariant k0theory to even twisted cyclic homology is introduced which gives rise to a chernconnes pairing between equivariant k0theory and twisted cyclic cohomology the chernconnes pairing between the equivariant k0group of the standard podles sphere and the generators of twisted cyclic cohomology relative to the modular automorphism and its inverse are computed this includes the pairings with the twisted cyclic 2cocycle associated to the volume form and the one corresponding to the nodimension drop case from explicit index computations it follows that the pairings with these cocycles give the qindices of the known equivariant 0summable dirac operator on the standard podles sphere | [['the', 'purpose', 'of', 'the', 'paper', 'is', 'twofold', 'first', 'known', 'results', 'of', 'the', 'noncommutative', 'spin', 'geometry', 'of', 'the', 'standard', 'podles', 'sphere', 'are', 'extended', 'by', 'discussing', 'poincare', 'duality', 'and', 'orientability', 'in', 'the', 'discussion', 'of', 'orientability', 'hochschild', 'homology', 'is', 'replaced', 'by', 'a', 'twisted', 'version', 'which', 'avoids', 'the', 'dimension', 'drop', 'the', 'twisted', 'hochschild', 'cycle', 'representing', 'an', 'orientation', 'is', 'related', 'to', 'the', 'volume', 'form', 'of', 'the', 'distinguished', 'covariant', 'differential', 'calculus', 'integration', 'over', 'the', 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'follows', 'that', 'the', 'pairings', 'with', 'these', 'cocycles', 'give', 'the', 'qindices', 'of', 'the', 'known', 'equivariant', '0summable', 'dirac', 'operator', 'on', 'the', 'standard', 'podles', 'sphere']] | [-0.23331812233540905, 0.10844995877583863, -0.08755869514717864, 0.0973018174516727, -0.09901259711909073, -0.13218778135284545, -0.0325981888460567, 0.30863379079493736, -0.35767472307715154, -0.21980150240084168, 0.08993817171853075, -0.2034654986068961, -0.17448864917630558, 0.1824684175022104, -0.1525407329044014, -0.01852499286640465, 0.013710503709113236, 0.10462401450480222, -0.1562426741759751, -0.24120093171211285, 0.42964219246749524, 0.01741802759367539, 0.23616765935599765, 0.05112182495194098, 0.07231134130427289, 0.03195722598493809, -0.04965923313130304, -0.04588816433938013, -0.14340130707992657, 0.1787420844649354, 0.23509823953210518, -0.03768800833587727, 0.09546459548017651, -0.3751898990973594, -0.1084143228104545, 0.12955458340156212, 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707.3404 | Kouchnirenko type formulas for local invariants of plane analytic curves | Let f(x,y)=0 be an equation of plane analytic curve defined in the
neighborhood of the origin and let $\pi:M\to(\Cn^2,0)$ be a local toric
modification. We give a formula which connects a number of double points
\delta_0(f)$ with a sum $\sum_p \delta_p(\tilde f)$ which runs over all
intersection points of the proper preimage of f=0 with the exceptional divisor.
| math.AG | let fxy0 be an equation of plane analytic curve defined in the neighborhood of the origin and let pimtocn20 be a local toric modification we give a formula which connects a number of double points delta_0f with a sum sum_p delta_ptilde f which runs over all intersection points of the proper preimage of f0 with the exceptional divisor | [['let', 'fxy0', 'be', 'an', 'equation', 'of', 'plane', 'analytic', 'curve', 'defined', 'in', 'the', 'neighborhood', 'of', 'the', 'origin', 'and', 'let', 'pimtocn20', 'be', 'a', 'local', 'toric', 'modification', 'we', 'give', 'a', 'formula', 'which', 'connects', 'a', 'number', 'of', 'double', 'points', 'delta_0f', 'with', 'a', 'sum', 'sum_p', 'delta_ptilde', 'f', 'which', 'runs', 'over', 'all', 'intersection', 'points', 'of', 'the', 'proper', 'preimage', 'of', 'f0', 'with', 'the', 'exceptional', 'divisor']] | [-0.24795523998750882, 0.011326648221107792, -0.1643193213099783, -0.02928850388323719, -0.08715598270805044, -0.14327275509184056, 0.07317614059217951, 0.24264570484784517, -0.3169942830773917, -0.20846106374678625, 0.045085463501428336, -0.27765335007147357, -0.09667454453354532, 0.2205652579665184, -0.07481532554057511, -0.04024497881658714, 0.03790134467099878, 0.10067372612485831, -0.10408999149433591, -0.2770960572768341, 0.33712185167453507, -0.08248851678588173, 0.16461803266270594, 0.03731208897449754, 0.11654088340107013, 0.0438886231827465, 0.05917094542898915, 0.018645980674773455, -0.1623703237453645, 0.08650522609664635, 0.2815027060833844, 0.13504253277047115, 0.20918993824584917, -0.3541931471194733, -0.154148987299678, 0.2736510479484092, 0.1655513579957187, -0.06205954970368607, 0.031541928932578726, -0.2067180443216454, 0.13337581830776551, -0.11021900752728636, -0.23905568624084647, -0.009582533402664756, 0.063875158181922, 0.08485319411212748, -0.30077350698411465, -0.042587768760594454, 0.05124839940531687, 0.13502858364107934, -0.007262350631539117, -0.12261557194658301, -0.07043761397627267, 0.04979334384710951, -0.0213646781376817, 0.18080175698480822, 0.05216753417626023, -0.07960316524417563, -0.09816444677046754, 0.38719982992730695, -0.08681984329596162, -0.23031030741350894, 0.04267487383701585, -0.1748974828218872, -0.05135196147655899, 0.1525375379418785, 0.08592495681209998, 0.1758327181366357, -0.05505418846891685, 0.19441438953879037, -0.11372917206449942, 0.05677025333385576, 0.10713678578507493, -0.01981973096474328, 0.20830417275640437, 0.06798041515390982, 0.07372432486577467, 0.11887273896400902, -0.05138267549601468, -0.04217133062299002, -0.422701370716095, -0.18305733384225856, -0.16865550544250502, 0.18383235460655256, -0.15449994781282095, -0.23990652391856368, 0.43294845719567754, -0.0023101128299127926, 0.29969537489285525, 0.07578644995069639, 0.22106597714803436, 0.1435869407078082, 0.02777722884308208, 0.10547388840085742, 0.05873082180676813, 0.16025476135652172, -0.0780456461795521, -0.159318986187943, 0.01608653279360045, 0.18181995036588475] |
707.3405 | Large scale ab initio calculations based on three levels of
parallelization | We suggest and implement a parallelization scheme based on an efficient
multiband eigenvalue solver, called the locally optimal block preconditioned
conjugate gradient LOBPCG method, and using an optimized three-dimensional (3D)
fast Fourier transform (FFT) in the ab initio}plane-wave code ABINIT. In
addition to the standard data partitioning over processors corresponding to
different k-points, we introduce data partitioning with respect to blocks of
bands as well as spatial partitioning in the Fourier space of coefficients over
the plane waves basis set used in ABINIT. This k-points-multiband-FFT
parallelization avoids any collective communications on the whole set of
processors relying instead on one-dimensional communications only. For a single
k-point, super-linear scaling is achieved for up to 100 processors due to an
extensive use of hardware optimized BLAS, LAPACK, and SCALAPACK routines,
mainly in the LOBPCG routine. We observe good performance up to 200 processors.
With 10 k-points our three-way data partitioning results in linear scaling up
to 1000 processors for a practical system used for testing.
| cond-mat.mtrl-sci | we suggest and implement a parallelization scheme based on an efficient multiband eigenvalue solver called the locally optimal block preconditioned conjugate gradient lobpcg method and using an optimized threedimensional 3d fast fourier transform fft in the ab initioplanewave code abinit in addition to the standard data partitioning over processors corresponding to different kpoints we introduce data partitioning with respect to blocks of bands as well as spatial partitioning in the fourier space of coefficients over the plane waves basis set used in abinit this kpointsmultibandfft parallelization avoids any collective communications on the whole set of processors relying instead on onedimensional communications only for a single kpoint superlinear scaling is achieved for up to 100 processors due to an extensive use of hardware optimized blas lapack and scalapack routines mainly in the lobpcg routine we observe good performance up to 200 processors with 10 kpoints our threeway data partitioning results in linear scaling up to 1000 processors for a practical system used for testing | [['we', 'suggest', 'and', 'implement', 'a', 'parallelization', 'scheme', 'based', 'on', 'an', 'efficient', 'multiband', 'eigenvalue', 'solver', 'called', 'the', 'locally', 'optimal', 'block', 'preconditioned', 'conjugate', 'gradient', 'lobpcg', 'method', 'and', 'using', 'an', 'optimized', 'threedimensional', '3d', 'fast', 'fourier', 'transform', 'fft', 'in', 'the', 'ab', 'initioplanewave', 'code', 'abinit', 'in', 'addition', 'to', 'the', 'standard', 'data', 'partitioning', 'over', 'processors', 'corresponding', 'to', 'different', 'kpoints', 'we', 'introduce', 'data', 'partitioning', 'with', 'respect', 'to', 'blocks', 'of', 'bands', 'as', 'well', 'as', 'spatial', 'partitioning', 'in', 'the', 'fourier', 'space', 'of', 'coefficients', 'over', 'the', 'plane', 'waves', 'basis', 'set', 'used', 'in', 'abinit', 'this', 'kpointsmultibandfft', 'parallelization', 'avoids', 'any', 'collective', 'communications', 'on', 'the', 'whole', 'set', 'of', 'processors', 'relying', 'instead', 'on', 'onedimensional', 'communications', 'only', 'for', 'a', 'single', 'kpoint', 'superlinear', 'scaling', 'is', 'achieved', 'for', 'up', 'to', '100', 'processors', 'due', 'to', 'an', 'extensive', 'use', 'of', 'hardware', 'optimized', 'blas', 'lapack', 'and', 'scalapack', 'routines', 'mainly', 'in', 'the', 'lobpcg', 'routine', 'we', 'observe', 'good', 'performance', 'up', 'to', '200', 'processors', 'with', '10', 'kpoints', 'our', 'threeway', 'data', 'partitioning', 'results', 'in', 'linear', 'scaling', 'up', 'to', '1000', 'processors', 'for', 'a', 'practical', 'system', 'used', 'for', 'testing']] | [-0.12523845671271178, 0.010540205600179054, -0.05878182764089904, 0.008569608913931232, -0.07033208264934582, -0.15014632688025417, 0.07764528523870275, 0.4343335731707004, -0.29867117760575707, -0.30877225141377934, 0.10285337659622895, -0.23566677190525376, -0.08919825788980686, 0.26532552467936776, -0.018962089119837707, 0.14198833981258446, 0.1052163381806303, -0.035043687875648696, -0.11212680661495521, -0.25697154501418334, 0.2184716930919506, 0.08110358651079562, 0.30517127953747414, -0.028609284274974226, 0.08549735577768351, 0.012760809849751014, -0.03630357574069907, -0.03174962635569257, -0.0711994940322471, 0.11806399081486584, 0.27810500749323214, 0.13695727118293854, 0.2660296240312435, -0.46638099505618125, -0.13970727719488027, 0.05450071462123476, 0.18610588162096206, 0.07003126497472989, -0.037477023300124764, -0.22328035770199603, 0.10724727507870101, -0.16095475947067883, -0.07527793612857551, -0.13739433936754483, -0.02734000825537195, 0.02513132862723577, -0.29344134497809116, 0.014337251107468738, -0.021736896797141164, 0.08193268130608597, 0.0010496909637582599, -0.12806761715060783, 0.045596911522750715, 0.054348816794722185, -0.0731641807902882, 0.048750254511399346, 0.10906673820547598, -0.031666939736124104, -0.13065521846965, 0.40225276458568826, -0.04928473851524918, -0.22788405692297387, 0.19088112939545387, -0.036139042032824725, -0.13028090005966123, 0.1343599383007758, 0.23782251149948155, 0.09474638958536782, -0.12020036267906266, 0.10157376080527265, 0.00028107816104701956, 0.21997392276335964, 0.07240446926939145, 0.0026328729708557544, 0.09358377459239192, 0.16853765068541032, 0.10717584379017353, 0.13046613880917604, -0.1015373613954354, -0.08211662305044647, -0.22842013266122674, -0.17304596017542878, -0.2543414220357059, -0.026991162156998556, -0.13575151048122358, -0.19644518845037828, 0.3957194195770301, 0.15845432221854788, 0.16153683417378376, 0.07764846963449294, 0.35386227522485003, 0.0734331564876896, 0.1671960998430663, 0.18148466020024248, 0.10973400556083236, 0.09976448969494679, 0.07989203196123057, -0.22357917519182152, -0.04968369665254856, 0.04563019805647844] |
707.3406 | On the gravitational stability of D1-D5-P black holes | We examine the stability of the nonextremal D1-D5-P black hole solutions. In
particular, we look for the appearance of a superradiant instability for the
spinning black holes but we find no evidence of such an instability. We compare
this situation with that for the smooth soliton geometries, which were recently
observed to suffer from an ergoregion instability, and consider the
implications for the fuzzball proposal.
| hep-th gr-qc | we examine the stability of the nonextremal d1d5p black hole solutions in particular we look for the appearance of a superradiant instability for the spinning black holes but we find no evidence of such an instability we compare this situation with that for the smooth soliton geometries which were recently observed to suffer from an ergoregion instability and consider the implications for the fuzzball proposal | [['we', 'examine', 'the', 'stability', 'of', 'the', 'nonextremal', 'd1d5p', 'black', 'hole', 'solutions', 'in', 'particular', 'we', 'look', 'for', 'the', 'appearance', 'of', 'a', 'superradiant', 'instability', 'for', 'the', 'spinning', 'black', 'holes', 'but', 'we', 'find', 'no', 'evidence', 'of', 'such', 'an', 'instability', 'we', 'compare', 'this', 'situation', 'with', 'that', 'for', 'the', 'smooth', 'soliton', 'geometries', 'which', 'were', 'recently', 'observed', 'to', 'suffer', 'from', 'an', 'ergoregion', 'instability', 'and', 'consider', 'the', 'implications', 'for', 'the', 'fuzzball', 'proposal']] | [-0.15336846309140897, 0.07396806911610139, -0.07625497701861744, 0.15506531772955964, -0.06729261786318742, -0.13209451712811224, -0.010037087061657355, 0.3029272802174091, -0.14386518753778477, -0.23280943982446423, 0.13270941099259428, -0.30655323622318414, -0.14473956174288805, 0.2009905715401356, -0.06831799150229646, 0.03743345493880602, 0.026825883554724546, 0.008822864208083887, -0.09631533567936948, -0.16838179271166714, 0.41868377808624735, 0.048960080230608584, 0.2711561645452793, 0.026851315473994383, 0.06815465225551565, -0.02780066002249861, 0.06265947171845115, 0.04438036493957043, -0.24279412680648071, 0.029995345381590037, 0.2056568898117313, 0.15087971655638494, 0.19091691079621131, -0.44774103932655773, -0.24010941579651374, 0.09912449599315341, 0.18284597988598622, 0.25957954331623534, -0.16634129483181123, -0.2622488013611963, 0.07794542317278683, -0.23148044085559938, -0.2041705672700818, -0.045805073407693554, 0.08135206782473968, -0.02059001214802265, -0.21603818375330705, 0.08149180549841661, 0.1373591718908686, -0.07049658526308261, -0.15475551743561833, -0.007540935854642437, -0.04607650991529226, 0.07220543802071076, 0.17326245357175, -0.021555614034430338, 0.1031125208004736, -0.15184215393562156, -0.14874181660393682, 0.32537397404129687, -0.02475604947942954, -0.16070039154818425, 0.21205380003039653, -0.23587133898041568, -0.11355423427258547, 0.11266695928688232, 0.1618333981802257, 0.20730994052898424, -0.06819609695902237, 0.06548204053676902, -0.028764094602173336, 0.1484018457444528, 0.15572170179623823, 0.07512643706734078, 0.3731403415592817, 0.14906645128861643, 0.02019930272004925, 0.22775090404141407, -0.09969170433827318, -0.09311438758785907, -0.31737267171534206, -0.1398905343017899, -0.07837487378229316, 0.08326349942586743, -0.0900277355898512, -0.21460656076669693, 0.3422049653071624, 0.1541559651494026, 0.21962958194601995, 0.003818481700279965, 0.20254414965910164, 0.08952915769500228, 0.012384416363560236, 0.12207639227406336, 0.3880522658905158, 0.03395718241898486, 0.11386887156046353, -0.2668600281413931, -0.06352404189081146, 0.05647548412760863] |
707.3407 | Faster subsequence recognition in compressed strings | Computation on compressed strings is one of the key approaches to processing
massive data sets. We consider local subsequence recognition problems on
strings compressed by straight-line programs (SLP), which is closely related to
Lempel--Ziv compression. For an SLP-compressed text of length $\bar m$, and an
uncompressed pattern of length $n$, C{\'e}gielski et al. gave an algorithm for
local subsequence recognition running in time $O(\bar mn^2 \log n)$. We improve
the running time to $O(\bar mn^{1.5})$. Our algorithm can also be used to
compute the longest common subsequence between a compressed text and an
uncompressed pattern in time $O(\bar mn^{1.5})$; the same problem with a
compressed pattern is known to be NP-hard.
| cs.DS cs.CC cs.DM | computation on compressed strings is one of the key approaches to processing massive data sets we consider local subsequence recognition problems on strings compressed by straightline programs slp which is closely related to lempelziv compression for an slpcompressed text of length bar m and an uncompressed pattern of length n cegielski et al gave an algorithm for local subsequence recognition running in time obar mn2 log n we improve the running time to obar mn15 our algorithm can also be used to compute the longest common subsequence between a compressed text and an uncompressed pattern in time obar mn15 the same problem with a compressed pattern is known to be nphard | [['computation', 'on', 'compressed', 'strings', 'is', 'one', 'of', 'the', 'key', 'approaches', 'to', 'processing', 'massive', 'data', 'sets', 'we', 'consider', 'local', 'subsequence', 'recognition', 'problems', 'on', 'strings', 'compressed', 'by', 'straightline', 'programs', 'slp', 'which', 'is', 'closely', 'related', 'to', 'lempelziv', 'compression', 'for', 'an', 'slpcompressed', 'text', 'of', 'length', 'bar', 'm', 'and', 'an', 'uncompressed', 'pattern', 'of', 'length', 'n', 'cegielski', 'et', 'al', 'gave', 'an', 'algorithm', 'for', 'local', 'subsequence', 'recognition', 'running', 'in', 'time', 'obar', 'mn2', 'log', 'n', 'we', 'improve', 'the', 'running', 'time', 'to', 'obar', 'mn15', 'our', 'algorithm', 'can', 'also', 'be', 'used', 'to', 'compute', 'the', 'longest', 'common', 'subsequence', 'between', 'a', 'compressed', 'text', 'and', 'an', 'uncompressed', 'pattern', 'in', 'time', 'obar', 'mn15', 'the', 'same', 'problem', 'with', 'a', 'compressed', 'pattern', 'is', 'known', 'to', 'be', 'nphard']] | [-0.1391144087538123, 0.08706109337305752, -0.05760476104325055, 0.047554468940046335, -0.07035135784519649, -0.14380368985953407, 0.023774495668743456, 0.3873386739864262, -0.371718544542892, -0.2991185536855883, 0.10172988359662576, -0.29171737739730863, -0.08424979737968347, 0.16937373675739203, -0.11057015218309536, 0.11015951506998561, 0.06457552451366952, 0.10008604829669546, -0.04258051109307984, -0.3259264073877194, 0.1729975466663445, 0.07716661586571451, 0.3010011430116319, -0.01894557888517071, 0.04123632398480977, 0.014680783383958384, -0.030529906823718492, -0.030003481792337305, -0.11010886061244533, 0.09432005032217729, 0.29297375443194984, 0.250707101380162, 0.17977683327306027, -0.43532435238839834, -0.1318216954844944, 0.10163738690594365, 0.21909374023420275, 0.12319947833114159, -0.0143063564404606, -0.2388135464434777, 0.16470635780816847, -0.05062153523599883, -0.007207020337548141, 0.013615621740869973, 0.11882450496948777, -0.04155790726782395, -0.290914545092014, 0.028561784943230365, 0.05525901477459237, 0.012014523770130419, 0.03504105227990845, -0.11227830357576182, 0.12635599698128025, 0.08585772249813474, 0.07543451849978904, 0.15883557479657712, 0.07342646572174966, -0.08982530563275133, -0.16490212779218724, 0.4036408775238269, -0.08964903509124704, -0.15588207485222624, 0.1458759331827932, -0.0022131850229524966, -0.18259445558208118, 0.14159410539800898, 0.1786972572087148, 0.15803481842638975, -0.08622526976818201, 0.10557077433636258, -0.11794167897587113, 0.2783638459262908, 0.17326457894176517, 0.013917530897509205, 0.14707447493522546, 0.18462919679666878, 0.09868511607990078, 0.1443935121055009, -0.06471710217424557, -0.03466355228004123, -0.1847619379041802, -0.1344237112089855, -0.20527289278907787, -0.03570877256111131, -0.16097693011103786, -0.18009542882305765, 0.32002133106248914, 0.12514171922374345, 0.236652553906032, 0.11149075708604085, 0.291382997031879, 0.07539174164572748, 0.05147491203227995, 0.1648755311461832, 0.04401278311873726, 0.08842747956258032, 0.08171038667953343, -0.2231240209871305, 0.04811086083779436, 0.1509331966656337] |
707.3408 | On a Gibbs characterization of normalized generalized Gamma processes | We show that a Gibbs characterization of normalized generalized Gamma
processes, recently obtained in Lijoi, Pr\"unster and Walker (2007), can
alternatively be derived by exploiting a characterization of exponentially
tilted Poisson-Kingman models stated in Pitman (2003). We also provide a
completion of this result investigating the existence of normalized random
measures inducing exchangeable Gibbs partitions of type $\alpha \in (-\infty,
0]$.
| math.PR | we show that a gibbs characterization of normalized generalized gamma processes recently obtained in lijoi prunster and walker 2007 can alternatively be derived by exploiting a characterization of exponentially tilted poissonkingman models stated in pitman 2003 we also provide a completion of this result investigating the existence of normalized random measures inducing exchangeable gibbs partitions of type alpha in infty 0 | [['we', 'show', 'that', 'a', 'gibbs', 'characterization', 'of', 'normalized', 'generalized', 'gamma', 'processes', 'recently', 'obtained', 'in', 'lijoi', 'prunster', 'and', 'walker', '2007', 'can', 'alternatively', 'be', 'derived', 'by', 'exploiting', 'a', 'characterization', 'of', 'exponentially', 'tilted', 'poissonkingman', 'models', 'stated', 'in', 'pitman', '2003', 'we', 'also', 'provide', 'a', 'completion', 'of', 'this', 'result', 'investigating', 'the', 'existence', 'of', 'normalized', 'random', 'measures', 'inducing', 'exchangeable', 'gibbs', 'partitions', 'of', 'type', 'alpha', 'in', 'infty', '0']] | [-0.09770847544012988, 0.17115389301487413, -0.14167631770575756, 0.09870493777485595, -0.0033939856593115407, -0.13959291165877805, 0.08678635148728481, 0.3529565167292708, -0.26526994117703595, -0.23594727697133347, 0.0650563089379308, -0.20761110718346765, -0.1513414862031331, 0.15010470549240099, -0.12078734598748508, 0.025837501953737657, 0.07243836269958219, -0.021753534204689177, -0.04797114123071193, -0.23055194947318952, 0.2419672217983447, 0.06128340283767549, 0.2600456108262793, -0.010323844407303412, 0.08326083911796574, 0.04014554058705441, -0.08267556579753024, 0.05119317024946213, -0.2326033118026585, 0.09582174849146824, 0.20997442845828865, 0.1457505117888089, 0.2563918178107162, -0.29403773836455627, -0.21070808680636471, 0.19717836443365352, 0.10551867368402051, 0.003923272385765783, -0.022057650778747974, -0.3489731137075874, 0.09614592586781402, -0.16824987701705243, -0.17303233811265376, -0.06963722403237566, 0.03401906029550267, 0.08904475775608396, -0.3138060956949093, 0.09629338331564452, 0.1956968373069387, 0.04212968559844083, -0.05188595698993714, -0.1570968818163774, -0.0011541707532816245, 0.05388732196870031, -0.0033689762969486047, 0.014649437213713517, 0.05434108341921915, -0.0621819884142243, -0.1751558024924798, 0.26413328866245317, -0.09909168833133872, -0.1915530246972549, 0.14008694030458993, -0.16351876094112874, -0.2015005031402116, 0.08837230066429122, 0.12255980778241256, 0.12041023700330102, -0.1572431260109192, 0.16508442946599003, -0.08314413274256666, 0.04513166359431095, 0.1635626038292148, -0.01679472186312568, 0.12085033931051854, 0.0750022908504747, 0.06807588034530827, 0.18934304918903003, -0.04350209123164904, -0.0890702970982453, -0.27603550972875024, -0.16748835884614802, -0.2458138369237546, 0.15603298571754676, -0.11481409078653802, -0.1850797762544673, 0.32535618652788095, 0.08588455241845279, 0.22541261275039345, 0.09868891523830349, 0.1251808238200477, 0.14804984100132448, -0.058626569975472866, 0.0801959275497032, 0.15181589034981416, 0.18940488844880926, 0.04447428413407236, -0.11165072089519168, 0.06671081494814793, 0.13728432636135487] |
707.3409 | Faster exon assembly by sparse spliced alignment | Assembling a gene from candidate exons is an important problem in
computational biology. Among the most successful approaches to this problem is
\emph{spliced alignment}, proposed by Gelfand et al., which scores different
candidate exon chains within a DNA sequence of length $m$ by comparing them to
a known related gene sequence of length n, $m = \Theta(n)$. Gelfand et al.\
gave an algorithm for spliced alignment running in time O(n^3). Kent et al.\
considered sparse spliced alignment, where the number of candidate exons is
O(n), and proposed an algorithm for this problem running in time O(n^{2.5}). We
improve on this result, by proposing an algorithm for sparse spliced alignment
running in time O(n^{2.25}). Our approach is based on a new framework of
\emph{quasi-local string comparison}.
| cs.DS cs.CC cs.CE q-bio.QM | assembling a gene from candidate exons is an important problem in computational biology among the most successful approaches to this problem is emphspliced alignment proposed by gelfand et al which scores different candidate exon chains within a dna sequence of length m by comparing them to a known related gene sequence of length n m thetan gelfand et al gave an algorithm for spliced alignment running in time on3 kent et al considered sparse spliced alignment where the number of candidate exons is on and proposed an algorithm for this problem running in time on25 we improve on this result by proposing an algorithm for sparse spliced alignment running in time on225 our approach is based on a new framework of emphquasilocal string comparison | [['assembling', 'a', 'gene', 'from', 'candidate', 'exons', 'is', 'an', 'important', 'problem', 'in', 'computational', 'biology', 'among', 'the', 'most', 'successful', 'approaches', 'to', 'this', 'problem', 'is', 'emphspliced', 'alignment', 'proposed', 'by', 'gelfand', 'et', 'al', 'which', 'scores', 'different', 'candidate', 'exon', 'chains', 'within', 'a', 'dna', 'sequence', 'of', 'length', 'm', 'by', 'comparing', 'them', 'to', 'a', 'known', 'related', 'gene', 'sequence', 'of', 'length', 'n', 'm', 'thetan', 'gelfand', 'et', 'al', 'gave', 'an', 'algorithm', 'for', 'spliced', 'alignment', 'running', 'in', 'time', 'on3', 'kent', 'et', 'al', 'considered', 'sparse', 'spliced', 'alignment', 'where', 'the', 'number', 'of', 'candidate', 'exons', 'is', 'on', 'and', 'proposed', 'an', 'algorithm', 'for', 'this', 'problem', 'running', 'in', 'time', 'on25', 'we', 'improve', 'on', 'this', 'result', 'by', 'proposing', 'an', 'algorithm', 'for', 'sparse', 'spliced', 'alignment', 'running', 'in', 'time', 'on225', 'our', 'approach', 'is', 'based', 'on', 'a', 'new', 'framework', 'of', 'emphquasilocal', 'string', 'comparison']] | [-0.10318333483835468, 0.038771879103046185, -0.019840111162086, 0.031296787830260506, -0.07226383104943289, -0.14595149913955419, 0.06769747743917415, 0.37700691632926464, -0.24972717807967917, -0.38845302592046926, 0.003191974655282302, -0.21439757046946248, -0.19299548453666637, 0.1855188904933204, -0.1254838359652881, 0.06061044363705747, 0.0770011321778913, 0.000498821241323088, 0.04303799219215747, -0.3342376456779168, 0.21676442944864574, 0.12893152452211398, 0.2697583268106472, -0.0504430590014233, 0.07250311221609171, 0.03432514060710435, -0.07190538560742604, -0.024232521378358858, -0.13469729776547643, 0.13132915726851396, 0.2912966631444507, 0.2028874789181425, 0.2977556951389816, -0.3930733025257216, -0.15408408879226104, 0.09593430212527117, 0.18230763518587365, 0.11920969634313044, -0.06909988599268292, -0.2846402937821189, 0.10330194334564426, -0.10941429659686067, -0.0011782031773482679, 0.011358504183590412, 0.09157344563406145, -0.03469777253235034, -0.3031291622729575, 0.06681628081972375, 0.05851465006565034, 0.015167096118274772, -0.012073582315008293, -0.15602903582583197, 0.0678035050466443, 0.10478243550102485, 0.018481671776990866, 0.10124100608461094, 0.03910954832099378, -0.04116190055320345, -0.20339886757896328, 0.32736966371169834, -0.03443797399503652, -0.17591517795016606, 0.15830235759399403, 0.04425565051830939, -0.2089396632986418, 0.13052218883741099, 0.13509268497620694, 0.17435526529128556, -0.13811869613185038, 0.10363226987518843, -0.09188194614148042, 0.1868735333316822, 0.13931549988022898, -0.026690947640015453, 0.1381894428832609, 0.2222200700990306, 0.054572665353962144, 0.12123716128684703, -0.07003681151579004, -0.07105873181574336, -0.19880758464855494, -0.1548202673019078, -0.24959703562323188, -0.007092947581664614, -0.1148674224776962, -0.14962026108147913, 0.3548586082446282, 0.10814562085328898, 0.23841286114737636, 0.09436640307616412, 0.28615275616604896, 0.0238807747516491, 0.05648526818812138, 0.09796137052786644, 0.1195508400054618, 0.08212572705672412, 0.04869336161197575, -0.23283845890069105, 0.1076917776544044, 0.15133506860049656] |
707.341 | Fubini-Griffiths-Harris rigidity and Lie algebra cohomology | We prove a general extrinsic rigidity theorem for homogeneous varieties in
$\mathbb{CP}^N$. The theorem is used to show that the adjoint variety of a
complex simple Lie algebra $\mathfrak{g}$ (the unique minimal G orbit in
$\mathbb{P}\mathfrak{g}$) is extrinsically rigid to third order.
In contrast, we show that the adjoint variety of $SL_3\mathbb{C}$, and the
Segre product $\mathit{Seg}(\mathbb{P}^1\times \mathbb{P}^n)$, both varieties
with osculating sequences of length two, are flexible at order two. In the
$SL_3\mathbb{C}$ example we discuss the relationship between the extrinsic
projective geometry and the intrinsic path geometry.
We extend machinery developed by Hwang and Yamaguchi, Se-ashi, Tanaka and
others to reduce the proof of the general theorem to a Lie algebra cohomology
calculation. The proofs of the flexibility statements use exterior differential
systems techniques.
| math.DG math.AG math.RT | we prove a general extrinsic rigidity theorem for homogeneous varieties in mathbbcpn the theorem is used to show that the adjoint variety of a complex simple lie algebra mathfrakg the unique minimal g orbit in mathbbpmathfrakg is extrinsically rigid to third order in contrast we show that the adjoint variety of sl_3mathbbc and the segre product mathitsegmathbbp1times mathbbpn both varieties with osculating sequences of length two are flexible at order two in the sl_3mathbbc example we discuss the relationship between the extrinsic projective geometry and the intrinsic path geometry we extend machinery developed by hwang and yamaguchi seashi tanaka and others to reduce the proof of the general theorem to a lie algebra cohomology calculation the proofs of the flexibility statements use exterior differential systems techniques | [['we', 'prove', 'a', 'general', 'extrinsic', 'rigidity', 'theorem', 'for', 'homogeneous', 'varieties', 'in', 'mathbbcpn', 'the', 'theorem', 'is', 'used', 'to', 'show', 'that', 'the', 'adjoint', 'variety', 'of', 'a', 'complex', 'simple', 'lie', 'algebra', 'mathfrakg', 'the', 'unique', 'minimal', 'g', 'orbit', 'in', 'mathbbpmathfrakg', 'is', 'extrinsically', 'rigid', 'to', 'third', 'order', 'in', 'contrast', 'we', 'show', 'that', 'the', 'adjoint', 'variety', 'of', 'sl_3mathbbc', 'and', 'the', 'segre', 'product', 'mathitsegmathbbp1times', 'mathbbpn', 'both', 'varieties', 'with', 'osculating', 'sequences', 'of', 'length', 'two', 'are', 'flexible', 'at', 'order', 'two', 'in', 'the', 'sl_3mathbbc', 'example', 'we', 'discuss', 'the', 'relationship', 'between', 'the', 'extrinsic', 'projective', 'geometry', 'and', 'the', 'intrinsic', 'path', 'geometry', 'we', 'extend', 'machinery', 'developed', 'by', 'hwang', 'and', 'yamaguchi', 'seashi', 'tanaka', 'and', 'others', 'to', 'reduce', 'the', 'proof', 'of', 'the', 'general', 'theorem', 'to', 'a', 'lie', 'algebra', 'cohomology', 'calculation', 'the', 'proofs', 'of', 'the', 'flexibility', 'statements', 'use', 'exterior', 'differential', 'systems', 'techniques']] | [-0.17601189994569338, 0.004848765679710825, -0.07561022793965005, 0.08741593921398062, -0.14601846285376366, -0.12373464939192058, -0.02812211762174843, 0.35400959539295335, -0.31842273720199377, -0.22614289283358713, 0.10986133079125916, -0.2187781328017392, -0.1845969358019955, 0.20461517186244813, -0.1702099349576889, -0.014826882161139473, 0.04113869609621664, 0.05587373467964855, -0.10836174156198777, -0.26385756449327175, 0.39996861084932234, -0.061690652477971425, 0.24764264818674664, 0.05839555966478538, 0.13011036846574728, 0.06339556742194526, -0.012581448668871469, -0.025769555555065958, -0.16761464425383943, 0.18219249595971249, 0.299305145024905, 0.054076436897588336, 0.17965649386368146, -0.37708637605201667, -0.1212256710173759, 0.14309508886142838, 0.08405757055246854, 0.0701806986613608, 0.01599439746715371, -0.2598611458424267, 0.10625361896127583, -0.1816117961292829, -0.20644371953936733, -0.09743864617000024, 0.05182365385618636, -0.0009680797111212723, -0.19221078982289003, 6.656803008986683e-05, 0.14537485619075596, 0.11647003530183943, -0.055493118290645564, -0.08655263444955831, -0.07218330587086276, 0.07113384026504023, -0.020971607704593883, 0.01631508507894549, 0.11508112563562345, -0.053021812943999116, -0.14141031230110826, 0.3541482059451623, -0.05122769134293303, -0.25447224146436626, 0.16192424683490905, -0.17189037398912194, -0.15209261908354918, 0.1058623962619198, 0.12054435425528848, 0.1643439107309512, -0.06415762948402302, 0.17280921880420813, -0.06100157624095436, 0.04851932238363396, 0.10151342424087045, -0.029374453544851423, 0.11183876864314202, 0.09497885378569788, 0.054435804868647, 0.10550119459195577, -0.003400050315672789, -0.06789675688870796, -0.32579412290114695, -0.2299715259104846, -0.10126246122181476, 0.12635961909422544, -0.1458930982204866, -0.1292080438612559, 0.3724424434992356, 0.09201067578940977, 0.17040226225450406, 0.10394983480038969, 0.270297306233911, 0.059117219554699535, 0.05067793344908462, 0.04389522960636674, 0.17860806228051612, 0.2650588114993889, 0.018329915779877484, -0.15290153403558232, -0.03751567511524006, 0.20106757472731113] |
707.3411 | Thermotropic Biaxial Nematics: Spontaneous or Field-Stabilized? | An intermediate nematic phase is proposed for the interpretation of recent
experimental results on phase biaxiality in bent-core nematics. The phase is
macroscopically uniaxial but consists of microscopic biaxial, and possibly
polar, domains. On applying an electric field the phase exhibits substantial
macroscopic biaxial ordering resulting from the collective alignment of the
domains. A phenomenological theory is developed for the molecular order in this
phase and for its transitions to purely uniaxial and to spontaneously biaxial
nematic phases.
| cond-mat.soft cond-mat.mtrl-sci | an intermediate nematic phase is proposed for the interpretation of recent experimental results on phase biaxiality in bentcore nematics the phase is macroscopically uniaxial but consists of microscopic biaxial and possibly polar domains on applying an electric field the phase exhibits substantial macroscopic biaxial ordering resulting from the collective alignment of the domains a phenomenological theory is developed for the molecular order in this phase and for its transitions to purely uniaxial and to spontaneously biaxial nematic phases | [['an', 'intermediate', 'nematic', 'phase', 'is', 'proposed', 'for', 'the', 'interpretation', 'of', 'recent', 'experimental', 'results', 'on', 'phase', 'biaxiality', 'in', 'bentcore', 'nematics', 'the', 'phase', 'is', 'macroscopically', 'uniaxial', 'but', 'consists', 'of', 'microscopic', 'biaxial', 'and', 'possibly', 'polar', 'domains', 'on', 'applying', 'an', 'electric', 'field', 'the', 'phase', 'exhibits', 'substantial', 'macroscopic', 'biaxial', 'ordering', 'resulting', 'from', 'the', 'collective', 'alignment', 'of', 'the', 'domains', 'a', 'phenomenological', 'theory', 'is', 'developed', 'for', 'the', 'molecular', 'order', 'in', 'this', 'phase', 'and', 'for', 'its', 'transitions', 'to', 'purely', 'uniaxial', 'and', 'to', 'spontaneously', 'biaxial', 'nematic', 'phases']] | [-0.2336644395105302, 0.2452786127616538, -0.09574988985565515, -0.07574492178630465, -0.06106037510415682, -0.06428403871802565, 0.01924694720387029, 0.404794989607464, -0.27133295595502627, -0.24665174352076763, 0.04850624367678299, -0.24708832742479175, -0.16403486259663716, 0.08444516332103656, 0.023850320557801005, 0.017554609534085896, -0.09895802931621289, -0.039441159944264934, -0.1132612626414555, -0.15198965297671607, 0.25189954816745835, -0.02813840591802429, 0.37966067537080306, 0.029034421797125384, 0.0761130483319553, -0.0027712134178727865, 0.13693597982339084, 0.058203072454302736, -0.17534553706168365, 0.029982861131429672, 0.24716129497839853, -0.06230377867961159, 0.12871425481847462, -0.48008825115334147, -0.22101089240123445, 0.04847892500364628, 0.09747022146191926, 0.20197750423819974, -0.07320231791788664, -0.33735632892244327, 0.012745526237174487, -0.1382693885347973, -0.1397305183733503, -0.17958297113326785, -0.004680680055827953, -0.015961180799282514, -0.26020867738108605, 0.14970082770555448, 0.09554573578031686, 0.1264399767596609, -0.12496008512486394, -0.10504456131886213, -0.02961594420365798, 0.028000667058409024, 0.10635634316340423, 0.10506183956152736, 0.13193092417592803, -0.16844029924891984, -0.12592321845631188, 0.4266465660662223, 0.028372771973805264, -0.11401226424062863, 0.17424075710229003, -0.11525470604362617, -0.10185387921041976, 0.21631604370971522, 0.13192213988767412, 0.07234885767460443, -0.07870098646395864, 0.023487829636836138, 0.03267061056043857, 0.22048390544473362, 0.002461804288964814, -0.03332513470489245, 0.25431479007387775, 0.20317690449659354, 0.033991363305502974, 0.2051860750899113, -0.10144331090701506, -0.1810888722538948, -0.27878875314043117, -0.1638506005088297, -0.20838705852675515, -0.028192023663089063, -0.14112944197068616, -0.19188884239739332, 0.39586328158680445, 0.08527887430047998, 0.15084267730036607, -0.07236365714999966, 0.242257729315987, 0.003965268962276287, 0.005437580050709538, -0.05709413336052631, 0.32309202515544033, 0.17468537330531922, 0.13117843696202797, -0.25719329421348774, 0.09754286591375533, 0.024546319905381937] |
707.3412 | Spectrophotometric investigations of Blue Compact Dwarf Galaxies:
Markarian 35 | We present results from a detailed spectrophotometric analysis of the blue
compact dwarf galaxy Mrk 35 (Haro 3), based on deep optical (B,V,R,I) and
near-IR (J,H,K) imaging, Halpha narrow-band observations and long-slit
spectroscopy. The optical emission of the galaxy is dominated by a central
young starburst, with a bar-like shape, while an underlying component of stars,
with elliptical isophotes and red colors, extends more than 4 kpc from the
galaxy center. High resolution Halpha and color maps allow us to identify the
star-forming regions, to spatially discriminate them from the older stars, and
to recognize several dust patches. We derive colors and Halpha parameters for
all the identified star-forming knots. Observables derived for each knot are
corrected for the contribution of the underlying older stellar population, the
contribution by emission lines, and from interstellar extinction, and compared
with evolutionary synthesis models. We find that the contributions of these
three factors are by no means negligible and that they significantly vary
across the galaxy. Therefore, careful quantification and subtraction of
emission lines, galaxy host contribution, and interstellar reddening at every
galaxy position, are essential to derive the properties of the young stars in
BCDs. We find that we can reproduce the colors of all the knots with an
instantaneous burst of star formation and the Salpeter initial mass function
with an upper mass limit of 100 M_solar. In all cases the knots are just a few
Myr old. The underlying population of stars has colors consistent with being
several Gyr old.
| astro-ph | we present results from a detailed spectrophotometric analysis of the blue compact dwarf galaxy mrk 35 haro 3 based on deep optical bvri and nearir jhk imaging halpha narrowband observations and longslit spectroscopy the optical emission of the galaxy is dominated by a central young starburst with a barlike shape while an underlying component of stars with elliptical isophotes and red colors extends more than 4 kpc from the galaxy center high resolution halpha and color maps allow us to identify the starforming regions to spatially discriminate them from the older stars and to recognize several dust patches we derive colors and halpha parameters for all the identified starforming knots observables derived for each knot are corrected for the contribution of the underlying older stellar population the contribution by emission lines and from interstellar extinction and compared with evolutionary synthesis models we find that the contributions of these three factors are by no means negligible and that they significantly vary across the galaxy therefore careful quantification and subtraction of emission lines galaxy host contribution and interstellar reddening at every galaxy position are essential to derive the properties of the young stars in bcds we find that we can reproduce the colors of all the knots with an instantaneous burst of star formation and the salpeter initial mass function with an upper mass limit of 100 m_solar in all cases the knots are just a few myr old the underlying population of stars has colors consistent with being several gyr old | [['we', 'present', 'results', 'from', 'a', 'detailed', 'spectrophotometric', 'analysis', 'of', 'the', 'blue', 'compact', 'dwarf', 'galaxy', 'mrk', '35', 'haro', '3', 'based', 'on', 'deep', 'optical', 'bvri', 'and', 'nearir', 'jhk', 'imaging', 'halpha', 'narrowband', 'observations', 'and', 'longslit', 'spectroscopy', 'the', 'optical', 'emission', 'of', 'the', 'galaxy', 'is', 'dominated', 'by', 'a', 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707.3413 | The Sixth Data Release of the Sloan Digital Sky Survey | With the Sixth Data Release of the Sloan Digital Sky Survey, the imaging of
the Northern Galactic Cap is now complete. The survey contains images and
parameters of roughly 287 million objects over 9583 deg^2, and 1.27 million
spectra of stars, galaxies, quasars and blank sky (for sky subtraction)
selected over 7425 deg^2. This release includes much more extensive stellar
spectroscopy than previously, and also includes detailed estimates of stellar
temperatures, gravities, and metallicities. The results of improved photometric
calibration are now available, with uncertainties of roughly 1% in g, r, i, and
z, and 2% in u, substantially better than the uncertainties in previous data
releases. The spectra in this data release have improved wavelength and flux
calibration, especially in the extreme blue and extreme red, leading to the
qualitatively better determination of stellar types and radial velocities. The
spectrophotometric fluxes are now tied to point spread function magnitudes of
stars rather than fiber magnitudes, giving a 0.35 mag change in the
spectrophotometric flux scale. Systematic errors in the velocity dispersions of
galaxies have been fixed, and the results of two independent codes for
determining spectral classifications and redshifts are made available.
(Abridged)
| astro-ph | with the sixth data release of the sloan digital sky survey the imaging of the northern galactic cap is now complete the survey contains images and parameters of roughly 287 million objects over 9583 deg2 and 127 million spectra of stars galaxies quasars and blank sky for sky subtraction selected over 7425 deg2 this release includes much more extensive stellar spectroscopy than previously and also includes detailed estimates of stellar temperatures gravities and metallicities the results of improved photometric calibration are now available with uncertainties of roughly 1 in g r i and z and 2 in u substantially better than the uncertainties in previous data releases the spectra in this data release have improved wavelength and flux calibration especially in the extreme blue and extreme red leading to the qualitatively better determination of stellar types and radial velocities the spectrophotometric fluxes are now tied to point spread function magnitudes of stars rather than fiber magnitudes giving a 035 mag change in the spectrophotometric flux scale systematic errors in the velocity dispersions of galaxies have been fixed and the results of two independent codes for determining spectral classifications and redshifts are made available abridged | [['with', 'the', 'sixth', 'data', 'release', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'the', 'imaging', 'of', 'the', 'northern', 'galactic', 'cap', 'is', 'now', 'complete', 'the', 'survey', 'contains', 'images', 'and', 'parameters', 'of', 'roughly', '287', 'million', 'objects', 'over', '9583', 'deg2', 'and', '127', 'million', 'spectra', 'of', 'stars', 'galaxies', 'quasars', 'and', 'blank', 'sky', 'for', 'sky', 'subtraction', 'selected', 'over', '7425', 'deg2', 'this', 'release', 'includes', 'much', 'more', 'extensive', 'stellar', 'spectroscopy', 'than', 'previously', 'and', 'also', 'includes', 'detailed', 'estimates', 'of', 'stellar', 'temperatures', 'gravities', 'and', 'metallicities', 'the', 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707.3414 | Probing the Two Greatest Mysteries of the Universe | The neutrinoless double beta decay and the direct dark matter detection
experiments probe the origins of the two greatest mysteries of the universe,
i.e. the baryon asymmetry and the invisible or dark matter. The underlying
theoretical ideas are briefly discussed along with the experimental prospects.
| hep-ph | the neutrinoless double beta decay and the direct dark matter detection experiments probe the origins of the two greatest mysteries of the universe ie the baryon asymmetry and the invisible or dark matter the underlying theoretical ideas are briefly discussed along with the experimental prospects | [['the', 'neutrinoless', 'double', 'beta', 'decay', 'and', 'the', 'direct', 'dark', 'matter', 'detection', 'experiments', 'probe', 'the', 'origins', 'of', 'the', 'two', 'greatest', 'mysteries', 'of', 'the', 'universe', 'ie', 'the', 'baryon', 'asymmetry', 'and', 'the', 'invisible', 'or', 'dark', 'matter', 'the', 'underlying', 'theoretical', 'ideas', 'are', 'briefly', 'discussed', 'along', 'with', 'the', 'experimental', 'prospects']] | [-0.09723659963864419, 0.23933241408732203, -0.08115941513743666, 0.19338516737851832, -0.11823072861880064, -0.12076558214094904, 0.00817853667669826, 0.2463751001490487, -0.26940999833039114, -0.31175182398615614, 0.0693108475715336, -0.32554253544658424, -0.05070901697811981, 0.1805331298822744, 0.14539396072893093, 0.03299128974063529, -0.01761689701428016, 0.039113207740916145, -0.02630561413243413, -0.25458305776119233, 0.2989444134549962, 0.07920359717164603, 0.23476977033747568, 0.10981415528286663, 0.04577518304189046, -0.04508759921623601, -0.159734791094282, -0.0961861658634411, -0.2234590705898073, 0.07036408884450793, 0.1670538265671995, 0.15564555417642825, 0.16351677900594142, -0.4423567419250806, -0.14843557539085547, 0.2025513033899996, 0.16528695717246997, 0.0646918816698922, -0.19078107382067375, -0.38076194437841576, 0.026443357724282475, -0.12579252508779368, -0.149686305059327, -0.005553332581702206, -0.037184194423672226, 0.0026015777761737506, -0.1635507844388485, 0.10036332211457193, -0.07883491446781489, -0.11602776959124539, -0.05091535245430552, -0.20951676869557964, 0.048465621057483886, 0.008585459273308515, 0.15615149763309294, -0.04933138956419296, 0.22334120023167794, -0.24754214786613982, -0.17480935301217768, 0.4119490729437934, -0.08642563679152065, -0.056142277208467324, 0.14601630988634295, -0.19953467034631306, -0.14523436821376284, 0.09043982622938024, 0.04402026844521364, 0.02300471853878763, -0.08713262135990792, 0.14102332829756456, -0.010814673681226041, 0.12959692668583658, 0.02720174078001744, 0.10048088578817745, 0.4110360968030161, 0.24575083131850178, -0.008085705753829744, -0.02270501506411367, -0.15278063139153852, -0.07572352087332143, -0.41711170337059433, -0.1887754935150345, -0.09503707272621492, -0.033829208090901376, -0.04947343510704943, -0.0905693363191353, 0.4207993681025174, 0.07994884556780259, 0.1837954583319111, -0.047250192653801704, 0.38128005895349715, 0.005233525981505712, -0.03625869600412746, -0.05181308158983787, 0.3647053731036269, 0.21656718394822544, 0.10810756768203444, -0.31737324794133503, 0.03946258059392373, -0.032022398436028096] |
707.3415 | UV to IR SEDs of UV selected galaxies in the ELAIS fields: evolution of
dust attenuation and star formation activity from z=0.7 to z=0.2 | We study the ultraviolet to far-infrared (hereafter UV-to-IR) SEDs of a
sample of intermediate redshift (0.2 < z < 0.7) UV-selected galaxies from the
ELAIS-N1 and ELAIS-N2 fields by fitting a multi-wavelength dataset to a library
of GRASIL templates. Star formation related properties of the galaxies are
derived from the library of models by using the Bayesian statistics. We find a
decreasing presence of galaxies with low attenuation and low total luminosity
as redshift decreases, which does not hold for high total luminosity galaxies.
In addition the dust attenuation of low mass galaxies increases as redshift
decreases, and this trend seems to disappear for galaxies with M* > 10^11
M_sun. This result is consistent with a mass dependent evolution of the dust to
gas ratio, which could be driven by a mass dependent efficiency of star
formation in star forming galaxies. The specific star formation rates (SSFR)
decrease with increasing stellar mass at all redshifts, and for a given stellar
mass the SSFR decreases with decreasing redshift. The differences in the slope
of the M*--SSFR relation found between this work and others at similar redshift
could be explained by the adopted selection criteria of the samples which, for
a UV selected sample, favours blue, star forming galaxies.
| astro-ph | we study the ultraviolet to farinfrared hereafter uvtoir seds of a sample of intermediate redshift 02 z 07 uvselected galaxies from the elaisn1 and elaisn2 fields by fitting a multiwavelength dataset to a library of grasil templates star formation related properties of the galaxies are derived from the library of models by using the bayesian statistics we find a decreasing presence of galaxies with low attenuation and low total luminosity as redshift decreases which does not hold for high total luminosity galaxies in addition the dust attenuation of low mass galaxies increases as redshift decreases and this trend seems to disappear for galaxies with m 1011 m_sun this result is consistent with a mass dependent evolution of the dust to gas ratio which could be driven by a mass dependent efficiency of star formation in star forming galaxies the specific star formation rates ssfr decrease with increasing stellar mass at all redshifts and for a given stellar mass the ssfr decreases with decreasing redshift the differences in the slope of the mssfr relation found between this work and others at similar redshift could be explained by the adopted selection criteria of the samples which for a uv selected sample favours blue star forming galaxies | [['we', 'study', 'the', 'ultraviolet', 'to', 'farinfrared', 'hereafter', 'uvtoir', 'seds', 'of', 'a', 'sample', 'of', 'intermediate', 'redshift', '02', 'z', '07', 'uvselected', 'galaxies', 'from', 'the', 'elaisn1', 'and', 'elaisn2', 'fields', 'by', 'fitting', 'a', 'multiwavelength', 'dataset', 'to', 'a', 'library', 'of', 'grasil', 'templates', 'star', 'formation', 'related', 'properties', 'of', 'the', 'galaxies', 'are', 'derived', 'from', 'the', 'library', 'of', 'models', 'by', 'using', 'the', 'bayesian', 'statistics', 'we', 'find', 'a', 'decreasing', 'presence', 'of', 'galaxies', 'with', 'low', 'attenuation', 'and', 'low', 'total', 'luminosity', 'as', 'redshift', 'decreases', 'which', 'does', 'not', 'hold', 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707.3416 | Searching for statistical equilibrium in a dynamical multifragmentation
path | A method for identifying statistical equilibrium stages in dynamical
multifragmentation paths as provided by transport models, already successfully
tested for for the reaction ^{129}Xe+^{119}Sn at 32 MeV/u is applied here to a
higher energy reaction, ^{129}Xe+^{119}Sn at 50 MeV/u. The method evaluates
equilibrium from the point of view of the microcanonical multifragmentation
model (MMM) and reactions are simulated by means of the stochastic mean field
model (SMF). A unique solution, corresponding to the maximum population of the
system phase space, was identified suggesting that a huge part of the available
phase space is occupied even in the case of the 50 MeV/u reaction, in presence
of a considerable amount of radial collective flow. The specific equilibration
time and volume are identified and differences between the two systems are
discussed.
| nucl-th | a method for identifying statistical equilibrium stages in dynamical multifragmentation paths as provided by transport models already successfully tested for for the reaction 129xe119sn at 32 mevu is applied here to a higher energy reaction 129xe119sn at 50 mevu the method evaluates equilibrium from the point of view of the microcanonical multifragmentation model mmm and reactions are simulated by means of the stochastic mean field model smf a unique solution corresponding to the maximum population of the system phase space was identified suggesting that a huge part of the available phase space is occupied even in the case of the 50 mevu reaction in presence of a considerable amount of radial collective flow the specific equilibration time and volume are identified and differences between the two systems are discussed | [['a', 'method', 'for', 'identifying', 'statistical', 'equilibrium', 'stages', 'in', 'dynamical', 'multifragmentation', 'paths', 'as', 'provided', 'by', 'transport', 'models', 'already', 'successfully', 'tested', 'for', 'for', 'the', 'reaction', '129xe119sn', 'at', '32', 'mevu', 'is', 'applied', 'here', 'to', 'a', 'higher', 'energy', 'reaction', '129xe119sn', 'at', '50', 'mevu', 'the', 'method', 'evaluates', 'equilibrium', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'microcanonical', 'multifragmentation', 'model', 'mmm', 'and', 'reactions', 'are', 'simulated', 'by', 'means', 'of', 'the', 'stochastic', 'mean', 'field', 'model', 'smf', 'a', 'unique', 'solution', 'corresponding', 'to', 'the', 'maximum', 'population', 'of', 'the', 'system', 'phase', 'space', 'was', 'identified', 'suggesting', 'that', 'a', 'huge', 'part', 'of', 'the', 'available', 'phase', 'space', 'is', 'occupied', 'even', 'in', 'the', 'case', 'of', 'the', '50', 'mevu', 'reaction', 'in', 'presence', 'of', 'a', 'considerable', 'amount', 'of', 'radial', 'collective', 'flow', 'the', 'specific', 'equilibration', 'time', 'and', 'volume', 'are', 'identified', 'and', 'differences', 'between', 'the', 'two', 'systems', 'are', 'discussed']] | [-0.07838661534510971, 0.14166950238190268, -0.10561285115385201, 0.0724329782822206, 0.05350937546546182, -0.09160850475098586, 0.06364680691732197, 0.33412769873897863, -0.2637272006584566, -0.3234435057956872, 0.051738286670022386, -0.2896291193163653, -0.04434235918328283, 0.1657515917024685, 0.0366973015259746, 0.0580683102845911, 0.07855674613076519, 0.04038348019409074, -0.033895130357228395, -0.21000438118646816, 0.2946323652992481, 0.09815362006367191, 0.25866131073846593, 0.036932846075693866, 0.1233977961608788, -0.03437421461347285, 0.005987234461289926, 0.022878373756282412, -0.11351946680321895, 0.0663544787533992, 0.2551897487407021, 0.10092816452969436, 0.25919846394722623, -0.3788100216743045, -0.23604532167696812, 0.10636091333361138, 0.12617813491360577, 0.13671400304150394, -0.054283423679257474, -0.2415852049772635, 0.07428334779509409, -0.18501556774795672, -0.12972261867390608, -0.04017739878659408, 0.025410908227603092, 0.0484683706111634, -0.24029005848340632, 0.0954833392009843, 0.0063969657642264505, 0.11212568161789123, -0.10282964131787536, -0.16623617644792085, -0.06383310254721895, 0.10931634194928948, 0.024087058380246162, 0.029546630106578528, 0.16353289986131933, -0.0974084399310564, -0.07925792513635214, 0.3952209433012708, -0.031561102792363994, -0.15761136865485312, 0.17022851020039068, -0.15260590299025295, -0.10831468394227825, 0.22180495225626418, 0.17889124912019144, 0.13382942941567794, -0.2210038521906405, 0.028970909651871185, 0.02535290624506361, 0.1508866653488454, 0.04885620057333525, -0.040428673122518174, 0.18764745617857365, 0.21296926659319226, 0.01308805438851219, 0.12897337980771906, -0.1307551453997359, -0.18139464620915133, -0.29564848904384256, -0.14981489544954357, -0.18288126869464483, 0.03185027416641494, -0.06123772155968784, -0.08850094536686037, 0.3807133028245216, 0.10706189115484535, 0.18559796799443604, 0.0030923321619483195, 0.253486144347263, 0.09701070244383712, 0.029816491225015694, 0.07034907306867146, 0.25749031690455326, 0.13786081895855526, 0.11890129433710157, -0.2458270471781404, 0.08800195458191117, 0.023763560622153203] |
707.3417 | When almost all sets are difference dominated | We investigate the relationship between the sizes of the sum and difference
sets attached to a subset of {0,1,...,N}, chosen randomly according to a
binomial model with parameter p(N), with N^{-1} = o(p(N)). We show that the
random subset is almost surely difference dominated, as N --> oo, for any
choice of p(N) tending to zero, thus confirming a conjecture of Martin and
O'Bryant. The proofs use recent strong concentration results.
Furthermore, we exhibit a threshold phenomenon regarding the ratio of the
size of the difference- to the sumset. If p(N) = o(N^{-1/2}) then almost all
sums and differences in the random subset are almost surely distinct, and in
particular the difference set is almost surely about twice as large as the
sumset. If N^{-1/2} = o(p(N)) then both the sum and difference sets almost
surely have size (2N+1) - O(p(N)^{-2}), and so the ratio in question is almost
surely very close to one. If p(N) = c N^{-1/2} then as c increases from zero to
infinity (i.e., as the threshold is crossed), the same ratio almost surely
decreases continuously from two to one according to an explicitly given
function of c.
We also extend our results to the comparison of the generalized difference
sets attached to an arbitrary pair of binary linear forms. For certain pairs of
forms f and g, we show that there in fact exists a sharp threshold at c_{f,g}
N^{-1/2}, for some computable constant c_{f,g}, such that one form almost
surely dominates below the threshold, and the other almost surely above it.
The heart of our approach involves using different tools to obtain strong
concentration of the sizes of the sum and difference sets about their mean
values, for various ranges of the parameter p.
| math.NT math.PR | we investigate the relationship between the sizes of the sum and difference sets attached to a subset of 01n chosen randomly according to a binomial model with parameter pn with n1 opn we show that the random subset is almost surely difference dominated as n oo for any choice of pn tending to zero thus confirming a conjecture of martin and obryant the proofs use recent strong concentration results furthermore we exhibit a threshold phenomenon regarding the ratio of the size of the difference to the sumset if pn on12 then almost all sums and differences in the random subset are almost surely distinct and in particular the difference set is almost surely about twice as large as the sumset if n12 opn then both the sum and difference sets almost surely have size 2n1 opn2 and so the ratio in question is almost surely very close to one if pn c n12 then as c increases from zero to infinity ie as the threshold is crossed the same ratio almost surely decreases continuously from two to one according to an explicitly given function of c we also extend our results to the comparison of the generalized difference sets attached to an arbitrary pair of binary linear forms for certain pairs of forms f and g we show that there in fact exists a sharp threshold at c_fg n12 for some computable constant c_fg such that one form almost surely dominates below the threshold and the other almost surely above it the heart of our approach involves using different tools to obtain strong concentration of the sizes of the sum and difference sets about their mean values for various ranges of the parameter p | [['we', 'investigate', 'the', 'relationship', 'between', 'the', 'sizes', 'of', 'the', 'sum', 'and', 'difference', 'sets', 'attached', 'to', 'a', 'subset', 'of', '01n', 'chosen', 'randomly', 'according', 'to', 'a', 'binomial', 'model', 'with', 'parameter', 'pn', 'with', 'n1', 'opn', 'we', 'show', 'that', 'the', 'random', 'subset', 'is', 'almost', 'surely', 'difference', 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'infinity', 'ie', 'as', 'the', 'threshold', 'is', 'crossed', 'the', 'same', 'ratio', 'almost', 'surely', 'decreases', 'continuously', 'from', 'two', 'to', 'one', 'according', 'to', 'an', 'explicitly', 'given', 'function', 'of', 'c', 'we', 'also', 'extend', 'our', 'results', 'to', 'the', 'comparison', 'of', 'the', 'generalized', 'difference', 'sets', 'attached', 'to', 'an', 'arbitrary', 'pair', 'of', 'binary', 'linear', 'forms', 'for', 'certain', 'pairs', 'of', 'forms', 'f', 'and', 'g', 'we', 'show', 'that', 'there', 'in', 'fact', 'exists', 'a', 'sharp', 'threshold', 'at', 'c_fg', 'n12', 'for', 'some', 'computable', 'constant', 'c_fg', 'such', 'that', 'one', 'form', 'almost', 'surely', 'dominates', 'below', 'the', 'threshold', 'and', 'the', 'other', 'almost', 'surely', 'above', 'it', 'the', 'heart', 'of', 'our', 'approach', 'involves', 'using', 'different', 'tools', 'to', 'obtain', 'strong', 'concentration', 'of', 'the', 'sizes', 'of', 'the', 'sum', 'and', 'difference', 'sets', 'about', 'their', 'mean', 'values', 'for', 'various', 'ranges', 'of', 'the', 'parameter', 'p']] | [-0.11915106010265773, 0.1296636859180632, -0.049613327739086555, 0.049028027962880034, 0.007647966672930576, -0.12805285339296552, 0.08321033430563167, 0.3637330061987254, -0.29789243662624176, -0.26569052118847664, 0.07724854454616124, -0.33800941066575363, -0.11215905330048094, 0.18361337467654879, -0.030929543009830363, 0.02719228075509057, 0.03286795391773818, 0.09833595355483868, -0.04140844055639699, -0.3027402373379202, 0.3257004127603236, -0.022134464827646066, 0.24916987181376957, 0.0451740162627291, 0.08314346396822501, 0.007246215807741297, 0.0157577631411354, 0.024931288724680555, -0.16021922461525764, 0.061349440128658075, 0.21757731293179491, 0.1167013948281289, 0.2813930439974135, -0.31073517393459504, -0.11152865745355078, 0.17562988437613117, 0.15565143017418656, 0.03143907785630316, 0.017617531596346103, -0.18518571176521598, 0.16995171575347978, -0.1246564784396856, 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0.11342468237213738, 0.22500184359621744, 0.11747112430485357, 0.023110295027900647, 0.09761273492695698, 0.18574446155526592, 0.15071128287719207, -0.000495225901167232, -0.16535034297729334, 0.07597406826465859, 0.05287172960229746] |
707.3418 | Radio Frequency Spectra of 388 Bright 74 MHz Sources | As a service to the community, we have compiled radio frequency spectra from
the literature for all sources within the VLA Low Frequency Sky Survey (VLSS)
that are brighter than 15 Jy at 74 MHz. Over 160 references were used to
maximize the amount of spectral data used in the compilation of the spectra,
while also taking care to determine the corrections needed to put the flux
densities from all reference on the same absolute flux density scale. With the
new VLSS data, we are able to vastly improve upon previous efforts to compile
spectra of bright radio sources to frequencies below 100 MHz because (1) the
VLSS flux densities are more reliable than those from some previous low
frequency surveys and (2) the VLSS covers a much larger area of the sky
(declination >-30 deg.) than many other low frequency surveys (e.g., the 8C
survey). In this paper, we discuss how the spectra were constructed and how
parameters quantifying the shapes of the spectra were derived. Both the spectra
and the shape parameters are made available here to assist in the calibration
of observations made with current and future low frequency radio facilities.
| astro-ph | as a service to the community we have compiled radio frequency spectra from the literature for all sources within the vla low frequency sky survey vlss that are brighter than 15 jy at 74 mhz over 160 references were used to maximize the amount of spectral data used in the compilation of the spectra while also taking care to determine the corrections needed to put the flux densities from all reference on the same absolute flux density scale with the new vlss data we are able to vastly improve upon previous efforts to compile spectra of bright radio sources to frequencies below 100 mhz because 1 the vlss flux densities are more reliable than those from some previous low frequency surveys and 2 the vlss covers a much larger area of the sky declination 30 deg than many other low frequency surveys eg the 8c survey in this paper we discuss how the spectra were constructed and how parameters quantifying the shapes of the spectra were derived both the spectra and the shape parameters are made available here to assist in the calibration of observations made with current and future low frequency radio facilities | [['as', 'a', 'service', 'to', 'the', 'community', 'we', 'have', 'compiled', 'radio', 'frequency', 'spectra', 'from', 'the', 'literature', 'for', 'all', 'sources', 'within', 'the', 'vla', 'low', 'frequency', 'sky', 'survey', 'vlss', 'that', 'are', 'brighter', 'than', '15', 'jy', 'at', '74', 'mhz', 'over', '160', 'references', 'were', 'used', 'to', 'maximize', 'the', 'amount', 'of', 'spectral', 'data', 'used', 'in', 'the', 'compilation', 'of', 'the', 'spectra', 'while', 'also', 'taking', 'care', 'to', 'determine', 'the', 'corrections', 'needed', 'to', 'put', 'the', 'flux', 'densities', 'from', 'all', 'reference', 'on', 'the', 'same', 'absolute', 'flux', 'density', 'scale', 'with', 'the', 'new', 'vlss', 'data', 'we', 'are', 'able', 'to', 'vastly', 'improve', 'upon', 'previous', 'efforts', 'to', 'compile', 'spectra', 'of', 'bright', 'radio', 'sources', 'to', 'frequencies', 'below', '100', 'mhz', 'because', '1', 'the', 'vlss', 'flux', 'densities', 'are', 'more', 'reliable', 'than', 'those', 'from', 'some', 'previous', 'low', 'frequency', 'surveys', 'and', '2', 'the', 'vlss', 'covers', 'a', 'much', 'larger', 'area', 'of', 'the', 'sky', 'declination', '30', 'deg', 'than', 'many', 'other', 'low', 'frequency', 'surveys', 'eg', 'the', '8c', 'survey', 'in', 'this', 'paper', 'we', 'discuss', 'how', 'the', 'spectra', 'were', 'constructed', 'and', 'how', 'parameters', 'quantifying', 'the', 'shapes', 'of', 'the', 'spectra', 'were', 'derived', 'both', 'the', 'spectra', 'and', 'the', 'shape', 'parameters', 'are', 'made', 'available', 'here', 'to', 'assist', 'in', 'the', 'calibration', 'of', 'observations', 'made', 'with', 'current', 'and', 'future', 'low', 'frequency', 'radio', 'facilities']] | [-0.05012235645932078, 0.09435874072969266, -0.0131097851805965, 0.07198834537045992, -0.12023604365387336, -0.05227722215211768, 0.07414670623226821, 0.442467215518976, -0.1705206975523267, -0.39627782975745957, 0.13627927089002004, -0.32582511603064146, 0.020804527380081258, 0.26588274272321966, -0.025910131838508717, 0.0018988303928972059, 0.027356169639592125, -0.05392391316727111, -0.04244347636710334, -0.22138806722923807, 0.22047077231205156, 0.14608447139209002, 0.2916288942209032, -0.019229463431216086, 0.030491032178595317, -0.08821396662892063, -0.11914476455842174, -0.020739070274243036, -0.15098951993269044, 0.0975071018388898, 0.2999531962085496, 0.13332018348839633, 0.20599759153580083, -0.37796918510641786, -0.2015431244134814, 0.08895148211950916, 0.13344993565695723, 0.07554344606787428, 0.03294785955859907, -0.2719681346572974, 0.08923671423240334, -0.18099249613749765, -0.12924803190951034, 0.007820269438562934, 0.026745165705431215, 0.08920456004327826, -0.1691513107213451, 0.06713530594064764, -0.047824018841282914, 0.11404079465632394, -0.11489313483939112, -0.21208935454199762, -0.021752236735018103, 0.15027062126348928, 0.00672454381188781, 0.06155728312334065, 0.12466243518631637, -0.11888471858206291, -0.0482269248291466, 0.3783804580338837, -0.06209076381252164, -0.06335104919835619, 0.1743996416196976, -0.22755223462482935, -0.17376194643600815, 0.18486102528572468, 0.15957948730924867, 0.08268464320536088, -0.16697969227625997, -0.0054846721846543095, 0.04001171563538367, 0.22364745506315886, 0.08433666910865757, 0.10091833127950578, 0.22409247984202368, 0.07133333946184553, 0.06494121135484916, 0.11648706087786176, -0.24565723755027255, 0.01594451589260212, -0.25056044410340506, -0.011882656402693889, -0.15536236250172994, 0.057546294863172566, -0.05356081946574142, -0.06863135739755288, 0.4273105007884352, 0.1882424882046648, 0.1997228524024771, 0.08937860436295879, 0.328014553762185, 0.06510115702835766, 0.12482654055359668, 0.08477698633154451, 0.29798087997187395, 0.10160958095418875, 0.1531601787440373, -0.1323053747653774, -0.010054113338557408, -0.06934748723570104] |
707.3419 | The Seesaw with Many Right-Handed Neutrinos | There are no upper limits on the possible number of massive, singlet
(right--handed) neutrinos that may participate in the seesaw mechanism, and
some string constructions motivate seesaw models with up to O(100)
right--handed neutrinos. In this case, the seesaw mass scale can be
significantly higher than that in the traditional scheme with just 3
right--handed neutrinos. We consider the possible phenomenological implications
of such models, in particular, for lepton-flavour violation and electric dipole
moments. Since the neutrino masses depend on the Majorana mass scale linearly,
while supersymmetric loop corrections depend on it logarithmically, the
magnitude of lepton-flavour- and CP-violating transitions may increase with the
multiplicity of the right--handed neutrinos and may be enhanced by orders of
magnitude. We also point out that, in the context of leptogensis, the bounds on
the reheating temperature and the lightest neutrino mass get relaxed compared
to those in the case of 3 right--handed neutrinos.
| hep-ph | there are no upper limits on the possible number of massive singlet righthanded neutrinos that may participate in the seesaw mechanism and some string constructions motivate seesaw models with up to o100 righthanded neutrinos in this case the seesaw mass scale can be significantly higher than that in the traditional scheme with just 3 righthanded neutrinos we consider the possible phenomenological implications of such models in particular for leptonflavour violation and electric dipole moments since the neutrino masses depend on the majorana mass scale linearly while supersymmetric loop corrections depend on it logarithmically the magnitude of leptonflavour and cpviolating transitions may increase with the multiplicity of the righthanded neutrinos and may be enhanced by orders of magnitude we also point out that in the context of leptogensis the bounds on the reheating temperature and the lightest neutrino mass get relaxed compared to those in the case of 3 righthanded neutrinos | [['there', 'are', 'no', 'upper', 'limits', 'on', 'the', 'possible', 'number', 'of', 'massive', 'singlet', 'righthanded', 'neutrinos', 'that', 'may', 'participate', 'in', 'the', 'seesaw', 'mechanism', 'and', 'some', 'string', 'constructions', 'motivate', 'seesaw', 'models', 'with', 'up', 'to', 'o100', 'righthanded', 'neutrinos', 'in', 'this', 'case', 'the', 'seesaw', 'mass', 'scale', 'can', 'be', 'significantly', 'higher', 'than', 'that', 'in', 'the', 'traditional', 'scheme', 'with', 'just', '3', 'righthanded', 'neutrinos', 'we', 'consider', 'the', 'possible', 'phenomenological', 'implications', 'of', 'such', 'models', 'in', 'particular', 'for', 'leptonflavour', 'violation', 'and', 'electric', 'dipole', 'moments', 'since', 'the', 'neutrino', 'masses', 'depend', 'on', 'the', 'majorana', 'mass', 'scale', 'linearly', 'while', 'supersymmetric', 'loop', 'corrections', 'depend', 'on', 'it', 'logarithmically', 'the', 'magnitude', 'of', 'leptonflavour', 'and', 'cpviolating', 'transitions', 'may', 'increase', 'with', 'the', 'multiplicity', 'of', 'the', 'righthanded', 'neutrinos', 'and', 'may', 'be', 'enhanced', 'by', 'orders', 'of', 'magnitude', 'we', 'also', 'point', 'out', 'that', 'in', 'the', 'context', 'of', 'leptogensis', 'the', 'bounds', 'on', 'the', 'reheating', 'temperature', 'and', 'the', 'lightest', 'neutrino', 'mass', 'get', 'relaxed', 'compared', 'to', 'those', 'in', 'the', 'case', 'of', '3', 'righthanded', 'neutrinos']] | [-0.0980236125959946, 0.33050581909741134, 0.04629820267413587, 0.20625849126528747, -0.07870423605965587, -0.16178271182243956, 0.051682768716170585, 0.31530856926325435, -0.17956352265764203, -0.3354916969758002, 0.055981939455381775, -0.2893877031544111, -0.019384070680845505, 0.1797069741050469, 0.027765411774209083, -0.016863172805099278, 0.010822517831728563, 0.03223508398279848, -0.09837632734350385, -0.29458313793625257, 0.3262906062804263, 0.07423303393340801, 0.2058570675908169, 0.08750970889782946, 0.023695588421276552, -0.09256946422228426, -0.0233960947984417, -0.10117312135712413, -0.06991521513706578, 0.03597936425873722, 0.13579228342474234, 0.06752689012120035, 0.09173861194101957, -0.4263322291108186, -0.1601698649547144, 0.2117828152473741, 0.2056411741232662, 0.08054397478168393, -0.06649011667370922, -0.27186235738918185, 0.08128792590355413, -0.21436871538851285, -0.11348902446611615, -0.038558880399268795, -0.05166241044378621, -0.0906773356946604, -0.3314998131432889, 0.10645231490328927, -0.01892670696826289, -0.05584473049618935, 0.005216922557869014, -0.21455227135955637, -0.03929461135010191, 0.005229432413967064, 0.22147728742534709, -0.06333610110591172, 0.14574053869176432, -0.18086574814202663, -0.1491177101188258, 0.41796860305378336, -0.08720853381164, -0.1585242480364622, 0.1414278261191618, -0.17510023384961307, -0.1437994366130423, 0.11845589609779167, 0.17935374002566173, 0.09403311114308217, -0.12865258606413266, 0.1517759632899726, -0.07661866218214167, 0.16923243650676675, 0.08546624540807617, 0.07918454879729214, 0.2960641949825089, 0.1967534650814088, 0.12236852185869426, -0.022442893126679447, -0.06238285973418079, -0.04691858094063706, -0.3830206370193686, -0.11066491227446987, -0.09019839277509725, 0.059333257358396216, -0.125469962378238, -0.08951208747817116, 0.43682108641275025, 0.19418847135458792, 0.1930407936115993, 0.03835670078710822, 0.272626089450947, 0.10927617475202919, 0.11929719484779959, 0.05461954638118162, 0.33674488895539123, 0.13099619774491644, 0.10299707150661805, -0.26590970737997116, -0.012483066488557414, 0.09421474077182528] |
707.342 | Free motion in deformed (quantum) four-dimensional space | It is shown that trajectories of free motion of the particles in deformed
("quantum") four dimensional space-time are quadratic curves.
| hep-th | it is shown that trajectories of free motion of the particles in deformed quantum four dimensional spacetime are quadratic curves | [['it', 'is', 'shown', 'that', 'trajectories', 'of', 'free', 'motion', 'of', 'the', 'particles', 'in', 'deformed', 'quantum', 'four', 'dimensional', 'spacetime', 'are', 'quadratic', 'curves']] | [-0.16904321759357116, 0.27719018324278294, -0.14759396475274117, 0.061018933198647575, -0.01494346372783184, -0.15841355454176664, -0.14209613656857983, 0.36861104555428026, -0.24753873157314957, -0.22564192105783148, 0.0060029479151126, -0.3021511442027986, -0.18324068393558263, 0.24682804327458144, -0.09145436882972717, 0.11044375982601196, 0.05848865020088852, 0.12974886698648333, -0.024334454990457742, -0.3340861129574478, 0.31496163753326983, -0.015488664602162316, 0.24889271408319474, -0.10252041306812316, 0.1607529217377305, 0.022564805671572687, 0.038482507411390546, 0.0899014581926167, -0.11623176617031276, 0.10982617866247893, 0.19175418317317963, 0.02416509985923767, 0.13951028026640416, -0.3848879261873662, -0.2659487307537347, 0.08119301693513989, 0.1538035232340917, 0.12868250547908247, -0.0423204330727458, -0.2643392906524241, 0.00249559500371106, -0.09993713209405541, -0.20977804535068573, -0.09789029192179441, 0.07157576233148574, -0.030200006812810896, -0.15318778324872256, 0.09811975965276361, 0.08750796066597104, 0.036543885804712774, -0.11289034949149937, -0.027709367359057067, -0.07302695140242577, 0.07619689488783479, 0.09009321754565462, -0.033489776845090094, 0.13205591011792422, -0.11118641796529119, -0.15311386585235595, 0.44439846724271775, 0.00066755386069417, -0.30369069911539553, 0.18751827981323005, -0.2103653786238283, -0.05585820551495999, 0.1968566246330738, 0.13069330230355264, 0.18004664462059736, -0.204298772290349, 0.23218333069235086, -0.007038271147757768, 0.09325678637251258, 0.11232404846232384, -0.013784275925718247, 0.23826865907758474, 0.038303587958216666, 0.05614585629664361, 0.1370639234839473, -0.08742463402450085, -0.26687880903482436, -0.36241883859038354, -0.21838340763933956, -0.17470770003274083, 0.07342919331858866, -0.11612304798327386, -0.18934756564412963, 0.3431294085457921, 0.027648814659914932, 0.14160545972408728, -0.016048087924718856, 0.2142504557967186, 0.13586146319285036, 0.05764839486218989, 0.07434980634134263, 0.2737370513379574, 0.10980999812018126, -0.010651598870754241, -0.21931225184816866, -0.13324221656657756, 0.11135254628024996] |
707.3421 | The nature of electromagnetic energy | We study the nature and location of electromagetic energy for two cases. The energy density for electromagnetic radiation is shown to be $\frac{1}{8\pi}(E^2+B^2)$, with the energy contained in the electromagnet fields. For a static charge distribution, the electromagnet energy is contained in the charge, with an energy density, $\frac{1}{2}\rho\phi$, There is no energy outside the charge distribution. The electromagnetic fields do not contain the energy, and $\frac{1}{8\pi}(E^2+B^2)$ cannot be considered an energy density in this case. There is no ambiguity in either case as to where the energy is located. | physics.gen-ph | we study the nature and location of electromagetic energy for two cases the energy density for electromagnetic radiation is shown to be frac18pie2b2 with the energy contained in the electromagnet fields for a static charge distribution the electromagnet energy is contained in the charge with an energy density frac12rhophi there is no energy outside the charge distribution the electromagnetic fields do not contain the energy and frac18pie2b2 cannot be considered an energy density in this case there is no ambiguity in either case as to where the energy is located | [['we', 'study', 'the', 'nature', 'and', 'location', 'of', 'electromagetic', 'energy', 'for', 'two', 'cases', 'the', 'energy', 'density', 'for', 'electromagnetic', 'radiation', 'is', 'shown', 'to', 'be', 'frac18pie2b2', 'with', 'the', 'energy', 'contained', 'in', 'the', 'electromagnet', 'fields', 'for', 'a', 'static', 'charge', 'distribution', 'the', 'electromagnet', 'energy', 'is', 'contained', 'in', 'the', 'charge', 'with', 'an', 'energy', 'density', 'frac12rhophi', 'there', 'is', 'no', 'energy', 'outside', 'the', 'charge', 'distribution', 'the', 'electromagnetic', 'fields', 'do', 'not', 'contain', 'the', 'energy', 'and', 'frac18pie2b2', 'can', 'not', 'be', 'considered', 'an', 'energy', 'density', 'in', 'this', 'case', 'there', 'is', 'no', 'ambiguity', 'in', 'either', 'case', 'as', 'to', 'where', 'the', 'energy', 'is', 'located']] | [-0.1476560683650682, 0.15331323249780723, -0.04448005464463227, 0.08593378577317143, -0.008058679017141974, -0.024164542927802807, -0.025735644666456628, 0.3840945267557413, -0.2100085383334636, -0.3321168051882722, 0.04681197315154747, -0.2990436042691099, -0.017958138946272517, 0.1611578278685117, -0.016943906069915186, -0.0447996686394701, -0.02267738317083246, 0.14000764065261545, -0.024197904136160325, -0.1352730819891239, 0.3312519986888972, 0.10296364091657872, 0.27872161603607665, 0.12954559784393285, 0.039840245299608626, 0.020301410706242782, 0.03868817652029724, 0.0516890441751415, -0.10344748237255919, 0.034101840012289324, 0.2750939353872305, 0.0659528663167837, 0.24222706048481765, -0.4335591487543679, -0.23876754616269436, 0.2099351509977346, 0.08021726312742022, 0.09496297231265183, -0.10516692782570233, -0.1820997358513889, 0.0818565424328306, -0.1371519110411748, -0.1627050381389329, -0.011875214825930267, 0.0117707221351307, 0.06582635694354687, -0.2756856431510171, 0.12403091099969614, 0.025599941367754477, -0.014865127456342352, -0.12268678923726253, -0.08061810872442592, -0.07355793970690548, 0.08549183793901198, 0.07928597769865917, 0.06403898653017635, 0.1296992041010024, -0.16515726571228226, -0.03927456080142794, 0.3702734002265437, -0.013537910702670443, -0.2753795387287592, 0.15602201933640686, -0.14763811756267972, -0.06225124750842993, 0.1866126895652035, 0.10869325674406585, 0.08577229116839924, -0.1549752861925069, 0.12939396824810825, -0.006763772513107236, 0.21228398735455675, 0.062052121782011686, 0.06250083935447037, 0.25117793572188796, 0.11044490371627369, 0.08897952340013379, 0.08943193839145717, -0.12956854234310403, -0.08191468496539298, -0.33149834354033414, -0.17108888306451597, -0.25090733772122314, 0.0652763062245721, -0.00018326922830986394, -0.16437553314742331, 0.4116825585617502, 0.1072445031972709, 0.16898454043842936, -0.05673124426012409, 0.3142368544278474, 0.18518576652063165, 0.08663935790737641, 0.17477119398763638, 0.2895749824779943, 0.08522202659815807, 0.12265307299964044, -0.18044047030063623, 0.0010886079010864098, -0.03046983155025833] |
707.3422 | CPT and Decoherence in Quantum Gravity | In this review, I first discuss briefly some theoretical motivations for
potential Lorentz Violation and deviation from ordinary quantum mechanical
behavior (decoherence) of field theoretic systems in the background of some
quantum gravity (QG) models. Both types of effects lead to CPT violation, but
they can be disentangled experimentally. I, then, proceed to a description of
precision tests of CPT symmetry using neutral and charged Kaons, which are of
direct relevance to the main theme of this conference. I emphasize the
potentially unique r\^ole of neutral meson factories in providing
``smoking-gun'' evidence of some QG-decoherence models in which the CPT quantum
mechanical operator is not well defined. This is achieved by means of potential
observations of QG-induced modifications of the pertinent
Einstein-Podolsky-Rosen (EPR) particle correlations.
| hep-ph gr-qc hep-th | in this review i first discuss briefly some theoretical motivations for potential lorentz violation and deviation from ordinary quantum mechanical behavior decoherence of field theoretic systems in the background of some quantum gravity qg models both types of effects lead to cpt violation but they can be disentangled experimentally i then proceed to a description of precision tests of cpt symmetry using neutral and charged kaons which are of direct relevance to the main theme of this conference i emphasize the potentially unique role of neutral meson factories in providing smokinggun evidence of some qgdecoherence models in which the cpt quantum mechanical operator is not well defined this is achieved by means of potential observations of qginduced modifications of the pertinent einsteinpodolskyrosen epr particle correlations | [['in', 'this', 'review', 'i', 'first', 'discuss', 'briefly', 'some', 'theoretical', 'motivations', 'for', 'potential', 'lorentz', 'violation', 'and', 'deviation', 'from', 'ordinary', 'quantum', 'mechanical', 'behavior', 'decoherence', 'of', 'field', 'theoretic', 'systems', 'in', 'the', 'background', 'of', 'some', 'quantum', 'gravity', 'qg', 'models', 'both', 'types', 'of', 'effects', 'lead', 'to', 'cpt', 'violation', 'but', 'they', 'can', 'be', 'disentangled', 'experimentally', 'i', 'then', 'proceed', 'to', 'a', 'description', 'of', 'precision', 'tests', 'of', 'cpt', 'symmetry', 'using', 'neutral', 'and', 'charged', 'kaons', 'which', 'are', 'of', 'direct', 'relevance', 'to', 'the', 'main', 'theme', 'of', 'this', 'conference', 'i', 'emphasize', 'the', 'potentially', 'unique', 'role', 'of', 'neutral', 'meson', 'factories', 'in', 'providing', 'smokinggun', 'evidence', 'of', 'some', 'qgdecoherence', 'models', 'in', 'which', 'the', 'cpt', 'quantum', 'mechanical', 'operator', 'is', 'not', 'well', 'defined', 'this', 'is', 'achieved', 'by', 'means', 'of', 'potential', 'observations', 'of', 'qginduced', 'modifications', 'of', 'the', 'pertinent', 'einsteinpodolskyrosen', 'epr', 'particle', 'correlations']] | [-0.09710106958670171, 0.20058284969470366, -0.09403906460487987, 0.10608410744689314, -0.06764411520992776, -0.18736711605944165, 0.026053627542167054, 0.290606336493984, -0.24788398137013237, -0.2715821597020982, 0.03451882368209204, -0.2876347034821302, -0.11736155412636878, 0.162088540516135, -0.02472852237855758, 0.06567728694725206, 0.013480754122440892, 0.028198626335346845, -0.052795102453518025, -0.2054349442989361, 0.3146560500504646, 0.07569206304038019, 0.2503910832546227, 0.1158268351630285, 0.03617065521411416, -0.020518446261653812, -0.050129116028244415, 0.03706311939541644, -0.09543715585098882, 0.09542763541543448, 0.23610150366454863, 0.18205176591608158, 0.21072969584142773, -0.42499183939118695, -0.19088381480892205, 0.133452762555278, 0.10227344943422491, 0.16331083908094077, -0.1198132866368879, -0.35348382245226784, 0.010374640668997905, -0.16678285171330823, -0.15416869730499339, -0.12014065541864592, 0.0036480027408058928, -0.030612058398063954, -0.23704388150112415, 0.11081557025436342, 0.06596468489454317, 0.10525770336048813, -0.01897399313463943, -0.1101967171274648, 0.05226952554393045, 0.07741825113676837, 0.08779079161538947, -0.02989856014927334, 0.15147118145558316, -0.16415600068072175, -0.19545442560248502, 0.4412992810300453, -0.06098090663667753, -0.17970558652669433, 0.16634327077072084, -0.1867371451325442, -0.1648365014016901, 0.04301785019688248, 0.15469201429315457, 0.055214862074188104, -0.1910159914315171, 0.09225057545439833, 0.00711918338315516, 0.11199132716131767, 0.0368039368242934, 0.14023429940159365, 0.2638416483437991, 0.1332559843161484, -0.008323633804826475, 0.06766165627783725, -0.017630235882612262, -0.10219116148546459, -0.4237338976889122, -0.19662764470463967, -0.12607250713584264, 0.11047815474148223, -0.04253952996190107, -0.0751006359658469, 0.3935700406857986, 0.16119651891465292, 0.15680647177770318, -0.04867801677087337, 0.2558536911913292, 0.07556431954991587, 0.022410396270726513, 0.001498301422632322, 0.3222717466284767, 0.18518309478981163, 0.0867185626705215, -0.27599195750028926, 0.020197766140194202, 0.019242936101689086] |
707.3423 | An improved Julia-Caratheodory theorem for Schur-Agler mappings of the
unit ball | We adapt Sarason's proof of the Julia-Caratheodory theorem to the class of
Schur-Agler mappings of the unit ball, obtaining a strengthened form of this
theorem. In particular those quantities which appear in the classical theorem
and depend only on the component of the mapping in the complex normal direction
have K-limits (not just restricted K-limits) at the boundary.
| math.CV math.FA | we adapt sarasons proof of the juliacaratheodory theorem to the class of schuragler mappings of the unit ball obtaining a strengthened form of this theorem in particular those quantities which appear in the classical theorem and depend only on the component of the mapping in the complex normal direction have klimits not just restricted klimits at the boundary | [['we', 'adapt', 'sarasons', 'proof', 'of', 'the', 'juliacaratheodory', 'theorem', 'to', 'the', 'class', 'of', 'schuragler', 'mappings', 'of', 'the', 'unit', 'ball', 'obtaining', 'a', 'strengthened', 'form', 'of', 'this', 'theorem', 'in', 'particular', 'those', 'quantities', 'which', 'appear', 'in', 'the', 'classical', 'theorem', 'and', 'depend', 'only', 'on', 'the', 'component', 'of', 'the', 'mapping', 'in', 'the', 'complex', 'normal', 'direction', 'have', 'klimits', 'not', 'just', 'restricted', 'klimits', 'at', 'the', 'boundary']] | [-0.1113227955730898, 0.06000908653368242, -0.09905689799260083, 0.05517567580058572, -0.0816008758764448, -0.11274260850456942, 0.0636469659595085, 0.29477825820712106, -0.2968100383877754, -0.21494023212497787, 0.14656585182196327, -0.21959001956773655, -0.10579134941716413, 0.22945243379633343, -0.11412756020269756, -0.00333899020084313, 0.026550557433178516, 0.07873331219889224, -0.098973284292567, -0.22972668055444956, 0.36586589545809794, -0.05543578409456781, 0.23564745790125535, 0.06946573923674546, 0.07124298533225167, 0.055211820789346736, -0.04333714325912297, -0.016427480898398374, -0.1430906695646367, 0.165996227371839, 0.20797415343778475, 0.09068899044567454, 0.259614228512094, -0.39498448465019464, -0.17193931286289757, 0.15980201597059412, 0.07969230607185247, 0.03695860006804911, 0.018544133688659974, -0.2544812947245581, 0.08349846288495298, -0.0822025684257304, -0.1934812583162316, -0.011182575652908002, -0.033045413641957566, 0.05202910351882955, -0.20611177991044574, 0.09052196090176169, 0.21615213253867946, 0.05068142724979095, -0.08228219344580014, -0.07728793854559106, -0.01610468904254958, 0.11990616018218654, 0.024103129186966856, 0.09229074794399951, 0.12436289948267845, -0.1034940728942664, -0.05016126428797309, 0.35404167271086145, -0.030555673673266677, -0.2501294399179252, 0.17564974245033227, -0.20227809000893363, -0.20501089861915847, 0.07922318411458816, 0.15096132969483733, 0.17421161782528674, -0.10058776843028941, 0.14675514699255082, -0.11782402273924422, 0.09923060703360014, 0.13319485237090184, 0.03444480162995335, 0.13817192131890416, 0.049474433750479614, 0.09364193286039933, 0.14956543669437192, -0.024465497458420162, -0.1084984232937651, -0.33820425403038307, -0.18918076152996427, -0.1988500818843022, 0.0549223763646296, -0.09624515499594313, -0.22904598399015544, 0.3884072643829443, 0.08318595268376937, 0.1926915433515595, 0.0754975440733168, 0.2064707544632256, 0.15035189493625825, 0.1237354909286036, 0.054250822884828916, 0.24792564480698534, 0.1747054487599858, 0.08876670568549473, -0.12573371033483585, 0.043464077943229186, 0.14713761703543632] |
707.3424 | IR-Improved DGLAP Theory: Kernels, Parton Distributions, Reduced Cross
Sections | It is shown that exact, amplitude-based resummation allows IR-improvement of
the usual DGLAP theory. This results in a new set of kernels, parton
distributions and attendant reduced cross sections, so that the QCD
perturbative result for the respective hadron-hadron or lepton-hadron cross
section is unchanged order-by-order in $\alpha_s$ at large squared-momentum
transfers. We compare these new objects with their usual counter-parts and
illustrate the effects of the IR-improvement in some phenomenological cases of
interest with an eye toward precision applications in LHC physics scenarios.
| hep-ph | it is shown that exact amplitudebased resummation allows irimprovement of the usual dglap theory this results in a new set of kernels parton distributions and attendant reduced cross sections so that the qcd perturbative result for the respective hadronhadron or leptonhadron cross section is unchanged orderbyorder in alpha_s at large squaredmomentum transfers we compare these new objects with their usual counterparts and illustrate the effects of the irimprovement in some phenomenological cases of interest with an eye toward precision applications in lhc physics scenarios | [['it', 'is', 'shown', 'that', 'exact', 'amplitudebased', 'resummation', 'allows', 'irimprovement', 'of', 'the', 'usual', 'dglap', 'theory', 'this', 'results', 'in', 'a', 'new', 'set', 'of', 'kernels', 'parton', 'distributions', 'and', 'attendant', 'reduced', 'cross', 'sections', 'so', 'that', 'the', 'qcd', 'perturbative', 'result', 'for', 'the', 'respective', 'hadronhadron', 'or', 'leptonhadron', 'cross', 'section', 'is', 'unchanged', 'orderbyorder', 'in', 'alpha_s', 'at', 'large', 'squaredmomentum', 'transfers', 'we', 'compare', 'these', 'new', 'objects', 'with', 'their', 'usual', 'counterparts', 'and', 'illustrate', 'the', 'effects', 'of', 'the', 'irimprovement', 'in', 'some', 'phenomenological', 'cases', 'of', 'interest', 'with', 'an', 'eye', 'toward', 'precision', 'applications', 'in', 'lhc', 'physics', 'scenarios']] | [-0.046426983085966864, 0.11896646753644116, -0.14438004086345987, 0.1516774986471038, -0.048368529336136064, -0.0596986542639817, 0.0032077990285477335, 0.36711356860160094, -0.21079955173564363, -0.24150151614513662, 0.005179538972169897, -0.30906227072661335, -0.050267633611198376, 0.18532475057333983, -0.01563941023921893, 0.13105765612864936, 0.10951556253856347, -0.007995529629198122, -0.08829062298676114, -0.24348731414863356, 0.3281423971344383, 0.08287213172441647, 0.2305753005921473, 0.15484451715271047, 0.08073523335940676, 0.05479119436091019, -0.07511605625903164, -0.024261127135352223, -0.1321707575269012, 0.09865434740290598, 0.30566864860255594, 0.0546031310280532, 0.16781053839849286, -0.3923816579727479, -0.13207094366144803, 0.052688522488568666, 0.13370005408428426, 0.1500475373705504, -0.01842585884977454, -0.2756960471103221, 0.08024254056084672, -0.25461422924504234, -0.17318874280784785, -0.1429046652233803, -0.014307355519706084, -0.005260565260678161, -0.2709063270508691, 0.06192287327800763, 0.002134719064436209, 0.0037940070895409145, 0.0053052328013883975, -0.19969275109412402, 0.0061218772330723795, 0.060743120503266926, 0.12069042725488544, 0.024386300877840432, 0.11136319728591192, -0.2485511355119309, -0.1970685296519487, 0.39698409623707887, -0.004846700392433523, -0.1772816858432589, 0.1634096723297082, -0.20539906988909215, -0.15962228855624058, 0.13137179709695004, 0.17681138971705496, 0.13778299090659452, -0.1559513199235094, 0.179769093221065, 0.036811904651170346, 0.12252031644392344, 0.07533474683755848, 0.06313359308527944, 0.15885819844257684, 0.15443524959163718, 0.004067635288703497, 0.060016421224623, -0.04246003497794362, -0.147519538630329, -0.4303775557581289, -0.094784617784755, -0.0717935876397669, 0.04072543132452317, -0.12785952646870247, -0.12516102004605115, 0.3438720393018297, 0.17146280845684678, 0.26133413803706196, 0.07931378886770503, 0.3409799871345361, 0.14327552670740126, 0.07251861062257287, 0.03232276515552291, 0.2895299324289361, 0.13911019580691686, 0.12503039519544001, -0.18599821168377442, 0.03054526328097707, 0.059538433270781864] |
707.3425 | Norms and spectral radii of linear fractional composition operators on
the ball | We give a new proof that every linear fractional map of the unit ball induces
a bounded composition operator on the standard scale of Hilbert function spaces
on the ball, and obtain norm bounds analogous to the standard one-variable
estimates. We also show that Cowen's one-variable spectral radius formula
extends to these operators. The key observation underlying these results is
that every linear fractional map of the ball belongs to the Schur-Agler class.
| math.FA | we give a new proof that every linear fractional map of the unit ball induces a bounded composition operator on the standard scale of hilbert function spaces on the ball and obtain norm bounds analogous to the standard onevariable estimates we also show that cowens onevariable spectral radius formula extends to these operators the key observation underlying these results is that every linear fractional map of the ball belongs to the schuragler class | [['we', 'give', 'a', 'new', 'proof', 'that', 'every', 'linear', 'fractional', 'map', 'of', 'the', 'unit', 'ball', 'induces', 'a', 'bounded', 'composition', 'operator', 'on', 'the', 'standard', 'scale', 'of', 'hilbert', 'function', 'spaces', 'on', 'the', 'ball', 'and', 'obtain', 'norm', 'bounds', 'analogous', 'to', 'the', 'standard', 'onevariable', 'estimates', 'we', 'also', 'show', 'that', 'cowens', 'onevariable', 'spectral', 'radius', 'formula', 'extends', 'to', 'these', 'operators', 'the', 'key', 'observation', 'underlying', 'these', 'results', 'is', 'that', 'every', 'linear', 'fractional', 'map', 'of', 'the', 'ball', 'belongs', 'to', 'the', 'schuragler', 'class']] | [-0.0826340024295735, 0.0638841219208114, -0.09329563612477178, 0.09163717053709425, -0.11262463677789353, -0.10712611735543262, 0.004346553848622596, 0.319679462593304, -0.3342810380591513, -0.17850428854102549, 0.13785212971461452, -0.2615359409469856, -0.16175499959045078, 0.2250586118013279, -0.12783291688418552, 0.06518714624929102, 0.05949447053637713, 0.06730870933157124, -0.13556328409810692, -0.22957542075214218, 0.3894988196592599, -0.018042785574822393, 0.1733199375209539, 0.060515141165623926, 0.12001974311695524, 0.004960111654937676, -0.019835802739205426, -0.046296432716389224, -0.22209738060815679, 0.17066392485907123, 0.17870624414453767, 0.10596425892396077, 0.2825351348146796, -0.34514586732974784, -0.16625374503918502, 0.19566996872093376, 0.06294603023856674, -0.022599323282707227, -0.027569787758593894, -0.2533737531263534, 0.07664476314636126, -0.09889753093968516, -0.1865968881430079, -0.0763215126903498, 0.041086137970934994, 0.030710608585201818, -0.312320134691792, 0.04941387772073727, 0.1725576487561203, -0.015706273739876812, -0.11384337142505364, -0.13686970882883218, -0.0008995901691178753, 0.0718883939648736, -0.03948160956537172, 0.11010026288129492, 0.11926952273463703, -0.024210129213863858, -0.11708039185670141, 0.3288707318651962, -0.13255453257652458, -0.2428717479773172, 0.10218187853732236, -0.23384174106448047, -0.13573301286908657, 0.06989747082993183, 0.1320491532654795, 0.12306614193350893, -0.06515563824150251, 0.18522391595785212, -0.1786648221234217, 0.1759307033663228, 0.08474200643752128, 0.062406416673034634, 0.08912740262505943, 0.07937778567589104, 0.18483700645347573, 0.17569264840679116, -0.036415967375856555, -0.1135367858566484, -0.3951505783894291, -0.17589868542703174, -0.19672597017241258, 0.059814366429074575, -0.15408353992934778, -0.19276696716416117, 0.375569483648016, 0.08256023698677756, 0.22818234387772438, 0.14193291755469695, 0.20388121571238726, 0.17269601619304858, 0.10602068960385984, 0.05020561719262232, 0.12959880606360633, 0.17291675785186458, 0.06558069891666304, -0.17996930782619405, -0.007516524276045496, 0.2221494438579188] |
707.3426 | Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted
composition operators | We prove that the norm of a weighted composition operator on the Hardy space
H^2 of the disk is controlled by the norm of the weight function in the de
Branges-Rovnyak space associated to the symbol of the composition operator. As
a corollary we obtain a new proof of the boundedness of composition operators
on H^2, and recover the standard upper bound for the norm. Similar arguments
apply to weighted Bergman spaces. We also show that the positivity of a
generalized de Branges-Rovnyak kernel is sufficient for the boundedness of a
given composition operator on the standard functions spaces on the unit ball.
| math.FA | we prove that the norm of a weighted composition operator on the hardy space h2 of the disk is controlled by the norm of the weight function in the de brangesrovnyak space associated to the symbol of the composition operator as a corollary we obtain a new proof of the boundedness of composition operators on h2 and recover the standard upper bound for the norm similar arguments apply to weighted bergman spaces we also show that the positivity of a generalized de brangesrovnyak kernel is sufficient for the boundedness of a given composition operator on the standard functions spaces on the unit ball | [['we', 'prove', 'that', 'the', 'norm', 'of', 'a', 'weighted', 'composition', 'operator', 'on', 'the', 'hardy', 'space', 'h2', 'of', 'the', 'disk', 'is', 'controlled', 'by', 'the', 'norm', 'of', 'the', 'weight', 'function', 'in', 'the', 'de', 'brangesrovnyak', 'space', 'associated', 'to', 'the', 'symbol', 'of', 'the', 'composition', 'operator', 'as', 'a', 'corollary', 'we', 'obtain', 'a', 'new', 'proof', 'of', 'the', 'boundedness', 'of', 'composition', 'operators', 'on', 'h2', 'and', 'recover', 'the', 'standard', 'upper', 'bound', 'for', 'the', 'norm', 'similar', 'arguments', 'apply', 'to', 'weighted', 'bergman', 'spaces', 'we', 'also', 'show', 'that', 'the', 'positivity', 'of', 'a', 'generalized', 'de', 'brangesrovnyak', 'kernel', 'is', 'sufficient', 'for', 'the', 'boundedness', 'of', 'a', 'given', 'composition', 'operator', 'on', 'the', 'standard', 'functions', 'spaces', 'on', 'the', 'unit', 'ball']] | [-0.08308115004769807, 0.0728083916677578, -0.0784417511293443, 0.140938502774818, -0.06629641816354565, -0.00485830310533203, 0.026936171976487757, 0.32214999427675334, -0.3103693074465377, -0.17232646623590184, 0.15162050464412072, -0.24486810289033986, -0.13069682891109904, 0.19835538637724895, -0.1254824449769357, 0.04906631510668588, 0.03745422993325493, 0.09570346524920857, -0.15131424624784803, -0.2553015391080125, 0.4487225200610181, 0.048066420104237076, 0.18023758024447462, 0.07150704990529898, 0.10168429335705864, 0.008872805647009496, -0.013488368847796205, -0.10027396435752167, -0.20340900473566206, 0.18991852518243407, 0.16232026192174265, 0.14625304881980625, 0.2642802327003294, -0.37183711059319163, -0.18166317628895484, 0.1916180005278981, 0.08862631324027638, -0.07271687007391626, -0.014640378410864657, -0.2841177466641931, 0.06506830150966794, -0.10153382623260751, -0.15373806819970748, -0.08415064905110059, -0.022193083173405487, 0.05584182093616177, -0.325776659006488, 0.07159678215015164, 0.1220854381732281, 0.023119463266305245, -0.20361590201376475, -0.12730346064453998, -0.026055278595609282, 0.05994011503327819, -0.0530551948349525, 0.07832945693844875, 0.10163848171263788, -0.04739697038838007, -0.07211455444181428, 0.3112074221276398, -0.13835994581899885, -0.2581864523258313, 0.11216547402544218, -0.18811801948937254, -0.11724642906518816, 0.017349762458905793, 0.12665184762202275, 0.17031585708152033, -0.059947162310511455, 0.19749478259727413, -0.118077103048563, 0.12924353302076677, 0.11546375302290454, 0.0796323252900603, 0.043260564051062156, 0.0719116982298641, 0.21241628233732168, 0.15915621195024657, -0.013302273962853557, -0.07686462723853482, -0.3705115898430926, -0.24359381957560577, -0.2234933090495687, 0.048204959930797806, -0.1495115344989898, -0.2361329995611122, 0.36712193824531675, 0.03679768354586751, 0.24750493329077128, 0.11316730731700375, 0.22412975242777358, 0.1441380653436549, 0.0885815995166675, 0.02907018947586851, 0.1755569456280797, 0.1995699441611984, 0.10839021837031379, -0.20207404104757656, 0.04080597091453756, 0.25242567132001076] |
707.3427 | Weak values and the Leggett-Garg inequality in solid-state qubits | An implementation of weak values is investigated in solid-state qubits. We
demonstrate that a weak value can be non-classical if and only if a
Leggett-Garg inequality can also be violated. Generalized weak values are
described, where post-selection on a range of weak measurement results.
Imposing classical weak values permits the derivation of Leggett-Garg
inequalities for bounded operators. Our analysis is presented in terms of
kicked quantum nondemolition measurements on a quantum double-dot charge qubit.
| cond-mat.mes-hall quant-ph | an implementation of weak values is investigated in solidstate qubits we demonstrate that a weak value can be nonclassical if and only if a leggettgarg inequality can also be violated generalized weak values are described where postselection on a range of weak measurement results imposing classical weak values permits the derivation of leggettgarg inequalities for bounded operators our analysis is presented in terms of kicked quantum nondemolition measurements on a quantum doubledot charge qubit | [['an', 'implementation', 'of', 'weak', 'values', 'is', 'investigated', 'in', 'solidstate', 'qubits', 'we', 'demonstrate', 'that', 'a', 'weak', 'value', 'can', 'be', 'nonclassical', 'if', 'and', 'only', 'if', 'a', 'leggettgarg', 'inequality', 'can', 'also', 'be', 'violated', 'generalized', 'weak', 'values', 'are', 'described', 'where', 'postselection', 'on', 'a', 'range', 'of', 'weak', 'measurement', 'results', 'imposing', 'classical', 'weak', 'values', 'permits', 'the', 'derivation', 'of', 'leggettgarg', 'inequalities', 'for', 'bounded', 'operators', 'our', 'analysis', 'is', 'presented', 'in', 'terms', 'of', 'kicked', 'quantum', 'nondemolition', 'measurements', 'on', 'a', 'quantum', 'doubledot', 'charge', 'qubit']] | [-0.1571918471615661, 0.18998042234031615, -0.02843158648072465, 0.051224690462412265, -0.047716727439389636, -0.26009513951233915, 0.046168437270082636, 0.3162519231791029, -0.22993878202160467, -0.24170934203760447, 0.04561433666605955, -0.26151796383153947, -0.060993465506849254, 0.3079622513111177, -0.06567066579402701, 0.07936070431114293, 0.11159147568852515, 0.008857578668441321, -0.13478477889470555, -0.22631754648141764, 0.27735305965148116, -0.012993718105733293, 0.2647523977353263, 0.09302445891237743, 0.1209797348034241, 0.0328380443797623, 0.08773703440218358, 0.0586448024354271, -0.11574776700079972, 0.049066395750521005, 0.2355501115120746, 0.08539339378350289, 0.2640378676870888, -0.4107633878955165, -0.1638566733533013, 0.15188132834343895, 0.09506036914457139, 0.16272408372999445, -0.03208518441376352, -0.3961901484762092, 0.06780388239594931, -0.14734429368635993, -0.11367642038778679, -0.14189474337507743, -0.010634356971226028, 0.005275220308150794, -0.3241852655302028, 0.13452545157279755, 0.06778267773522718, 0.04359020401151045, 0.021364480319961503, -0.008734173657422935, 0.060525465419994214, 0.03163576895698301, -0.06444903617296871, -0.03806814326703347, 0.1791455574597962, -0.08827898244851747, -0.15240932409525723, 0.30215676006156245, -0.06990976734841997, -0.26064055042366524, 0.11103969746319628, -0.16548398169814735, -0.1423245725737935, -0.03127752833471105, 0.07151190921462872, 0.13061509988698605, -0.15952791474331673, 0.10736442203690515, -0.08139023221274083, 0.23812781206357317, 0.06171014195157064, 0.16409107049096477, 0.1408443968692744, 0.060488670630179146, 0.08947128253812725, 0.13205310320985075, -0.03993524773977697, -0.13170809278617035, -0.41936986309451024, -0.17620782080937075, -0.2586781860429894, 0.15483273053699098, -0.09895036735778794, -0.10706836207316735, 0.3364537449906001, 0.11762962497635493, 0.12629937062140656, 0.004303058068192488, 0.2570447840828549, 0.2185162047515749, 0.05039560825035379, 0.004684981178945383, 0.32759301350892495, 0.21849096226946427, 0.05829534351171271, -0.218053908810976, 0.08938570257679031, 0.06797775556392358] |
707.3428 | Effects of noise and confidence thresholds in nominal and metric Axelrod
dynamics of social influence | We study the effects of bounded confidence thresholds and of interaction and
external noise on Axelrod's model of social influence. Our study is based on a
combination of numerical simulations and an integration of the mean-field
Master equation describing the system in the thermodynamic limit. We find that
interaction thresholds affect the system only quantitatively, but that they do
not alter the basic phase structure. The known crossover between an ordered and
a disordered state in finite systems subject to external noise persists in
models with general confidence threshold. Interaction noise here facilitates
the dynamics and reduces relaxation times. We also study Axelrod systems with
metric features, and point out similarities and differences compared to models
with nominal features. Metric features are used to demonstrate that a small
group of extremists can have a significant impact on the opinion dynamics of a
population of Axelrod agents.
| physics.soc-ph cond-mat.stat-mech | we study the effects of bounded confidence thresholds and of interaction and external noise on axelrods model of social influence our study is based on a combination of numerical simulations and an integration of the meanfield master equation describing the system in the thermodynamic limit we find that interaction thresholds affect the system only quantitatively but that they do not alter the basic phase structure the known crossover between an ordered and a disordered state in finite systems subject to external noise persists in models with general confidence threshold interaction noise here facilitates the dynamics and reduces relaxation times we also study axelrod systems with metric features and point out similarities and differences compared to models with nominal features metric features are used to demonstrate that a small group of extremists can have a significant impact on the opinion dynamics of a population of axelrod agents | [['we', 'study', 'the', 'effects', 'of', 'bounded', 'confidence', 'thresholds', 'and', 'of', 'interaction', 'and', 'external', 'noise', 'on', 'axelrods', 'model', 'of', 'social', 'influence', 'our', 'study', 'is', 'based', 'on', 'a', 'combination', 'of', 'numerical', 'simulations', 'and', 'an', 'integration', 'of', 'the', 'meanfield', 'master', 'equation', 'describing', 'the', 'system', 'in', 'the', 'thermodynamic', 'limit', 'we', 'find', 'that', 'interaction', 'thresholds', 'affect', 'the', 'system', 'only', 'quantitatively', 'but', 'that', 'they', 'do', 'not', 'alter', 'the', 'basic', 'phase', 'structure', 'the', 'known', 'crossover', 'between', 'an', 'ordered', 'and', 'a', 'disordered', 'state', 'in', 'finite', 'systems', 'subject', 'to', 'external', 'noise', 'persists', 'in', 'models', 'with', 'general', 'confidence', 'threshold', 'interaction', 'noise', 'here', 'facilitates', 'the', 'dynamics', 'and', 'reduces', 'relaxation', 'times', 'we', 'also', 'study', 'axelrod', 'systems', 'with', 'metric', 'features', 'and', 'point', 'out', 'similarities', 'and', 'differences', 'compared', 'to', 'models', 'with', 'nominal', 'features', 'metric', 'features', 'are', 'used', 'to', 'demonstrate', 'that', 'a', 'small', 'group', 'of', 'extremists', 'can', 'have', 'a', 'significant', 'impact', 'on', 'the', 'opinion', 'dynamics', 'of', 'a', 'population', 'of', 'axelrod', 'agents']] | [-0.1335024407587161, 0.10226466965702943, -0.10759161392941255, 0.08373141398873461, -0.028002110239730715, -0.11841658478258305, 0.0971501840546421, 0.37990158385507866, -0.2539824424694254, -0.28629141692582466, 0.06515944915367546, -0.31777478800448655, -0.2003917352054013, 0.13772752283903297, -0.018594693162874, 0.002791966113887013, 0.0619972116371285, 0.047723430550134144, -0.05842772993651436, -0.2228954291172096, 0.34568601994048037, 0.06539328710163293, 0.2863863824056589, 0.05045778614672998, 0.10589364450345173, -0.02337920065803377, 0.012079149593076068, 0.05878159633442147, -0.11886219841930241, 0.05112541089957095, 0.1818118269465268, 0.07270809602030642, 0.27216530502104036, -0.43078143554037973, -0.25196515079842857, 0.09128844836321723, 0.13689814266359612, 0.1385183666283759, -0.020430572566971797, -0.30429889425660855, 0.04313940206887073, -0.18730346065521725, -0.10104564526309706, -0.09214586067357905, 0.015157145546902328, 0.066537896207891, -0.2530859246876327, 0.08748084536816586, 0.0767139027210922, 0.07391094297632314, -0.09357969421249088, -0.07849041311698647, -0.027886363019056823, 0.16037130313813813, 0.018811909074429423, -0.01183856932656865, 0.16358638683346752, -0.17121641383480843, -0.11628959594016945, 0.3811884171980089, -0.09009055211846653, -0.21430103283268653, 0.23785820910515748, -0.14965543915415566, -0.11785124668736674, 0.10457044103093548, 0.21938443545583788, 0.08994628250445813, -0.1501157592462969, 0.06998073285459923, 0.00629780104077638, 0.22740899858942848, -0.015411676535995244, 0.025908538371991138, 0.1722056897825957, 0.19836132857336164, 0.025261607847163733, 0.12373368996386863, -0.05315585974253051, -0.18199502929649636, -0.2598258268585658, -0.07779416231413001, -0.13053403817729592, 0.034237919087551236, -0.09324407571384903, -0.16933506882226426, 0.3971071537290636, 0.21927876754868011, 0.1922390667326136, 0.05417056623144611, 0.23201993553682346, 0.1175737776897197, 0.01796219448641912, 0.052998542170078586, 0.23936595339710787, 0.10038118450966192, 0.0470600514800275, -0.2516898791280205, 0.10139612948573003, 0.002841348520919445] |
707.3429 | The Hot Inner Disk of FU Ori | We have constructed a detailed radiative transfer disk model which reproduces
the main features of the spectrum of the outbursting young stellar object FU
Orionis from ~ 4000 angstrom, to ~ 8 micron. Using an estimated visual
extinction Av~1.5, a steady disk model with a central star mass ~0.3 Msun and a
mass accretion rate ~ 2e-4 Msun/yr, we can reproduce the spectral energy
distribution of FU Ori quite well. With the mid-infrared spectrum obtained by
the Infrared Spectrograph (IRS) on board the Spitzer Space Telescope, we
estimate that the outer radius of the hot, rapidly accreting inner disk is ~ 1
AU using disk models truncated at this outer radius. Inclusion of radiation
from a cooler irradiated outer disk might reduce the outer limit of the hot
inner disk to ~ 0.5 AU. In either case, the radius is inconsistent with a pure
thermal instability model for the outburst. Our radiative transfer model
implies that the central disk temperature Tc > 1000 K out to ~ 0.5 - 1 AU,
suggesting that the magnetorotational instability (MRI) can be supported out to
that distance. Assuming that the ~ 100 yr decay timescale in brightness of FU
Ori represents the viscous timescale of the hot inner disk, we estimate the
viscosity parameter (alpha) to be ~ 0.2 - 0.02 in the outburst state,
consistent with numerical simulations of MRI in disks. The radial extent of the
high mass accretion region is inconsistent with the model of Bell & Lin, but
may be consistent with theories incorporating both gravitational instability
and MRI.
| astro-ph | we have constructed a detailed radiative transfer disk model which reproduces the main features of the spectrum of the outbursting young stellar object fu orionis from 4000 angstrom to 8 micron using an estimated visual extinction av15 a steady disk model with a central star mass 03 msun and a mass accretion rate 2e4 msunyr we can reproduce the spectral energy distribution of fu ori quite well with the midinfrared spectrum obtained by the infrared spectrograph irs on board the spitzer space telescope we estimate that the outer radius of the hot rapidly accreting inner disk is 1 au using disk models truncated at this outer radius inclusion of radiation from a cooler irradiated outer disk might reduce the outer limit of the hot inner disk to 05 au in either case the radius is inconsistent with a pure thermal instability model for the outburst our radiative transfer model implies that the central disk temperature tc 1000 k out to 05 1 au suggesting that the magnetorotational instability mri can be supported out to that distance assuming that the 100 yr decay timescale in brightness of fu ori represents the viscous timescale of the hot inner disk we estimate the viscosity parameter alpha to be 02 002 in the outburst state consistent with numerical simulations of mri in disks the radial extent of the high mass accretion region is inconsistent with the model of bell lin but may be consistent with theories incorporating both gravitational instability and mri | [['we', 'have', 'constructed', 'a', 'detailed', 'radiative', 'transfer', 'disk', 'model', 'which', 'reproduces', 'the', 'main', 'features', 'of', 'the', 'spectrum', 'of', 'the', 'outbursting', 'young', 'stellar', 'object', 'fu', 'orionis', 'from', '4000', 'angstrom', 'to', '8', 'micron', 'using', 'an', 'estimated', 'visual', 'extinction', 'av15', 'a', 'steady', 'disk', 'model', 'with', 'a', 'central', 'star', 'mass', '03', 'msun', 'and', 'a', 'mass', 'accretion', 'rate', '2e4', 'msunyr', 'we', 'can', 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