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710.3153 | Electronic correlation in nanoscale junctions: Comparison of the GW
approximation to a numerically exact solution of the single-impurity Anderson
model | The impact of electronic correlation in nanoscale junctions, e.g. formed by
single molecules, is analyzed using the single-impurity Anderson model.
Numerically exact Quantum Monte Carlo calculations are performed to map out the
orbital filling, linear response conductance and spectral function as a
function of the Coulomb interaction strength and the impurity level position.
These numerical results form a benchmark against which approximate, but more
broadly applicable, approaches to include electronic correlation in transport
can be compared. As an example, the self consistent GW approximation has been
implemented for the Anderson model and the results compared to this benchmark.
For weak coupling or for level positions such that the impurity is either
nearly empty or nearly full, the GW approximation is found to be accurate.
However, for intermediate or strong coupling, the GW approximation does not
properly represent the impact of spin or charge fluctuations. Neither the
spectral function nor the linear response conductance are accurately given
across the Coulomb blockade plateau and well into the mixed valence regimes.
| cond-mat.mtrl-sci cond-mat.str-el | the impact of electronic correlation in nanoscale junctions eg formed by single molecules is analyzed using the singleimpurity anderson model numerically exact quantum monte carlo calculations are performed to map out the orbital filling linear response conductance and spectral function as a function of the coulomb interaction strength and the impurity level position these numerical results form a benchmark against which approximate but more broadly applicable approaches to include electronic correlation in transport can be compared as an example the self consistent gw approximation has been implemented for the anderson model and the results compared to this benchmark for weak coupling or for level positions such that the impurity is either nearly empty or nearly full the gw approximation is found to be accurate however for intermediate or strong coupling the gw approximation does not properly represent the impact of spin or charge fluctuations neither the spectral function nor the linear response conductance are accurately given across the coulomb blockade plateau and well into the mixed valence regimes | [['the', 'impact', 'of', 'electronic', 'correlation', 'in', 'nanoscale', 'junctions', 'eg', 'formed', 'by', 'single', 'molecules', 'is', 'analyzed', 'using', 'the', 'singleimpurity', 'anderson', 'model', 'numerically', 'exact', 'quantum', 'monte', 'carlo', 'calculations', 'are', 'performed', 'to', 'map', 'out', 'the', 'orbital', 'filling', 'linear', 'response', 'conductance', 'and', 'spectral', 'function', 'as', 'a', 'function', 'of', 'the', 'coulomb', 'interaction', 'strength', 'and', 'the', 'impurity', 'level', 'position', 'these', 'numerical', 'results', 'form', 'a', 'benchmark', 'against', 'which', 'approximate', 'but', 'more', 'broadly', 'applicable', 'approaches', 'to', 'include', 'electronic', 'correlation', 'in', 'transport', 'can', 'be', 'compared', 'as', 'an', 'example', 'the', 'self', 'consistent', 'gw', 'approximation', 'has', 'been', 'implemented', 'for', 'the', 'anderson', 'model', 'and', 'the', 'results', 'compared', 'to', 'this', 'benchmark', 'for', 'weak', 'coupling', 'or', 'for', 'level', 'positions', 'such', 'that', 'the', 'impurity', 'is', 'either', 'nearly', 'empty', 'or', 'nearly', 'full', 'the', 'gw', 'approximation', 'is', 'found', 'to', 'be', 'accurate', 'however', 'for', 'intermediate', 'or', 'strong', 'coupling', 'the', 'gw', 'approximation', 'does', 'not', 'properly', 'represent', 'the', 'impact', 'of', 'spin', 'or', 'charge', 'fluctuations', 'neither', 'the', 'spectral', 'function', 'nor', 'the', 'linear', 'response', 'conductance', 'are', 'accurately', 'given', 'across', 'the', 'coulomb', 'blockade', 'plateau', 'and', 'well', 'into', 'the', 'mixed', 'valence', 'regimes']] | [-0.10431087081988585, 0.09997170644341427, -0.0705335527988306, 0.13163382430987744, -0.00669888983524981, -0.17165392098970533, 0.05423877548864333, 0.39433675527661327, -0.24550862276616195, -0.2996982691221915, 0.03296550994578172, -0.30309669490504476, -0.1257961928855539, 0.17719218297445746, 0.07274829497328028, 0.05747884867204924, 0.04801298158764396, -0.011396171530664322, -0.10089000958933389, -0.19885328417460965, 0.25359326257187476, 0.07545470306130093, 0.2598953931093482, 0.09193592161699642, 0.03152091714132223, 0.048771362574327556, 0.044548455273754714, 0.07417473227473065, -0.079577319540433, 0.02796861427209695, 0.2501064396197935, -0.030578570868653645, 0.23173465918184125, -0.45200001826465486, -0.21967576416153906, 0.04647799975754467, 0.15385687404609816, 0.1514429664925306, -0.02488829691277975, -0.2807157480080302, 0.039145640638058206, -0.18582764594438708, -0.11079292996492725, -0.10176798388628024, -0.014583105302638918, 0.04263798108842734, -0.2891684831535843, 0.11022423613238581, 0.009617444040486589, 0.02056038570468185, -0.05923430253668422, -0.12946886481118522, -0.057563359437543635, 0.11623257327370257, -0.008623033475790484, 0.05000294124259935, 0.14927839695952744, -0.11805641508821975, -0.10734244363612518, 0.3707782199573038, -0.08549407689410839, -0.19790676720107772, 0.18909219713532366, -0.14605760898917824, -0.06095523210076083, 0.15469572683131055, 0.1139951386195164, 0.10596554482167232, -0.14130051027140803, 0.0909798633677253, 0.01871601123518, 0.1934075502074501, 0.026467027286777182, 0.053945850036273314, 0.23217766234163373, 0.14790608185077353, 0.031330987800694335, 0.09472457140024441, -0.1276489334746397, -0.13447215608764618, -0.253892168158754, -0.08635348691928985, -0.22825013146003975, 0.05917868249837609, -0.058200498842953016, -0.23563020682195202, 0.41304301593620385, 0.15017361601626145, 0.1627608219721532, 0.012700401971891378, 0.2831408306623676, 0.18389545391463408, 0.0582096433901738, 0.0495438245928935, 0.26957515866212944, 0.12483800639442745, 0.02813737607184088, -0.2774192974667087, 0.09278941559854761, 0.04515280700399585] |
710.3154 | Intersubband decay of 1-D exciton resonances in carbon nanotubes | We have studied intersubband decay of E22 excitons in semiconducting carbon
nanotubes experimentally and theoretically. Photoluminescence excitation line
widths of semiconducting nanotubes with chiral indicess (n, m) can be mapped
onto a connectivity grid with curves of constant (n-m) and (2n+m). Moreover,
the global behavior of E22 linewidths is best characterized by a strong
increase with energy irrespective of their (n-m) mod(3)= \pm 1 family
affiliation. Solution of the Bethe-Salpeter equations shows that the E22
linewidths are dominated by phonon assisted coupling to higher momentum states
of the E11 and E12 exciton bands. The calculations also suggest that the
branching ratio for decay into exciton bands vs free carrier bands,
respectively is about 10:1.
| cond-mat.mtrl-sci | we have studied intersubband decay of e22 excitons in semiconducting carbon nanotubes experimentally and theoretically photoluminescence excitation line widths of semiconducting nanotubes with chiral indicess n m can be mapped onto a connectivity grid with curves of constant nm and 2nm moreover the global behavior of e22 linewidths is best characterized by a strong increase with energy irrespective of their nm mod3 pm 1 family affiliation solution of the bethesalpeter equations shows that the e22 linewidths are dominated by phonon assisted coupling to higher momentum states of the e11 and e12 exciton bands the calculations also suggest that the branching ratio for decay into exciton bands vs free carrier bands respectively is about 101 | [['we', 'have', 'studied', 'intersubband', 'decay', 'of', 'e22', 'excitons', 'in', 'semiconducting', 'carbon', 'nanotubes', 'experimentally', 'and', 'theoretically', 'photoluminescence', 'excitation', 'line', 'widths', 'of', 'semiconducting', 'nanotubes', 'with', 'chiral', 'indicess', 'n', 'm', 'can', 'be', 'mapped', 'onto', 'a', 'connectivity', 'grid', 'with', 'curves', 'of', 'constant', 'nm', 'and', '2nm', 'moreover', 'the', 'global', 'behavior', 'of', 'e22', 'linewidths', 'is', 'best', 'characterized', 'by', 'a', 'strong', 'increase', 'with', 'energy', 'irrespective', 'of', 'their', 'nm', 'mod3', 'pm', '1', 'family', 'affiliation', 'solution', 'of', 'the', 'bethesalpeter', 'equations', 'shows', 'that', 'the', 'e22', 'linewidths', 'are', 'dominated', 'by', 'phonon', 'assisted', 'coupling', 'to', 'higher', 'momentum', 'states', 'of', 'the', 'e11', 'and', 'e12', 'exciton', 'bands', 'the', 'calculations', 'also', 'suggest', 'that', 'the', 'branching', 'ratio', 'for', 'decay', 'into', 'exciton', 'bands', 'vs', 'free', 'carrier', 'bands', 'respectively', 'is', 'about', '101']] | [-0.13610119797728246, 0.21428226400063727, 0.0032359454121473614, -0.006299861292643225, 0.018565752946841735, -0.1874661431853882, 0.10152786156879656, 0.4857255941734905, -0.20844274957095626, -0.2797302250478384, -0.026612326928282536, -0.3102908895342751, -0.043996979233157714, 0.1430393408193764, 0.06564847752863986, -0.009012237838180982, 0.03577322245212849, -0.09777137348675623, -0.04006086704444833, -0.14971594883343287, 0.24774248125361262, 0.019267377950481872, 0.30345900137949966, 0.12695770467573828, -0.0013259741447019119, -0.03553058205064761, 0.11255948598274088, -0.035504126237227325, -0.19642554423465308, 0.09829322026735501, 0.24538934159100848, -0.07088047810995012, 0.18354278554793743, -0.36738523920025445, -0.15735977023955336, 0.026705142745204205, 0.23139718584963573, 0.08043036001643776, 0.018910837393723824, -0.2974295478718009, 0.11559954600200568, -0.10406049116992647, -0.09654345099641158, -0.02750258875363795, 0.061969232654808894, 0.006803440933519628, -0.2117532156572669, 0.12757055531642236, -0.0014322087976389227, 0.05503070720236293, -0.11196793290885347, -0.19514641133950925, -0.13748853952434342, 0.04218018042599469, 0.038674875411856095, -0.029168416531674103, 0.20099074885957932, -0.09511665308402967, -0.11939440009213027, 0.38118635655114985, -0.14138093685517006, -0.08354876219064195, 0.11034335020468035, -0.17039325392384708, -0.01654339973316157, 0.24706507310996542, 0.06827642343344942, 0.11579614801876313, -0.09131897666153654, 0.07902508181060326, -0.013356889049992361, 0.2160149767523038, 0.10465082834037927, 0.14923314210769217, 0.19258790368840625, 0.14156705262633948, 0.02547445797064729, 0.08590308606492734, -0.09580409748992776, -0.03887680379789224, -0.20810259440996215, -0.173745354901241, -0.20849587052207505, 0.15127341212927306, -0.08940239193958985, -0.11942213887464156, 0.4043166728039165, 0.034894772665163054, 0.21585524570510056, 0.04899137857394804, 0.18261395314032525, 0.17761985057618765, 0.0721034318109793, 0.0441235253274177, 0.2878081096476356, 0.22601355854277622, 0.07585473575390282, -0.2934215262416849, -0.0021711058659165832, -0.016933964814710538] |
710.3155 | Dynamics of Localized Waves | We have measured pulsed microwave transmission through quasi-1D samples with
lengths up to three localization lengths. For times approaching four times the
diffusion time \tau_D, transmission is diffusive in accord with the
self-consistent theory of localization for the renormalized diffusion
coefficient in space and frequency, D(z,\Omega). For longer times, the
transmission decay rate first agrees with and later falls increasingly below
the self-consistent theory. Beyond the Heisenberg time, the decay rate
approaches the predictions of a dynamic single parameter scaling model which
reflects the decay of long-lived localized modes and converges to the results
of 1D simulations.
| cond-mat.dis-nn cond-mat.mes-hall | we have measured pulsed microwave transmission through quasi1d samples with lengths up to three localization lengths for times approaching four times the diffusion time tau_d transmission is diffusive in accord with the selfconsistent theory of localization for the renormalized diffusion coefficient in space and frequency dzomega for longer times the transmission decay rate first agrees with and later falls increasingly below the selfconsistent theory beyond the heisenberg time the decay rate approaches the predictions of a dynamic single parameter scaling model which reflects the decay of longlived localized modes and converges to the results of 1d simulations | [['we', 'have', 'measured', 'pulsed', 'microwave', 'transmission', 'through', 'quasi1d', 'samples', 'with', 'lengths', 'up', 'to', 'three', 'localization', 'lengths', 'for', 'times', 'approaching', 'four', 'times', 'the', 'diffusion', 'time', 'tau_d', 'transmission', 'is', 'diffusive', 'in', 'accord', 'with', 'the', 'selfconsistent', 'theory', 'of', 'localization', 'for', 'the', 'renormalized', 'diffusion', 'coefficient', 'in', 'space', 'and', 'frequency', 'dzomega', 'for', 'longer', 'times', 'the', 'transmission', 'decay', 'rate', 'first', 'agrees', 'with', 'and', 'later', 'falls', 'increasingly', 'below', 'the', 'selfconsistent', 'theory', 'beyond', 'the', 'heisenberg', 'time', 'the', 'decay', 'rate', 'approaches', 'the', 'predictions', 'of', 'a', 'dynamic', 'single', 'parameter', 'scaling', 'model', 'which', 'reflects', 'the', 'decay', 'of', 'longlived', 'localized', 'modes', 'and', 'converges', 'to', 'the', 'results', 'of', '1d', 'simulations']] | [-0.14066385850310326, 0.2122282701845203, -0.0315631201180319, 0.020167988803829456, 0.04787862592881235, -0.16464338559793154, 0.04256223446524624, 0.3659172006106625, -0.25489110344400007, -0.23144912046457952, 0.06873209978463517, -0.3136459217542627, -0.03529736411049574, 0.23330073700587187, 0.0857281210871103, 0.07032793358666822, 0.025231342917929094, 0.052606249222056554, -0.09533989380482429, -0.18067224459324885, 0.20790326395460093, 0.10771423633559607, 0.31209356904340285, 0.03119625513985132, 0.04010427241640476, 0.022100197781886283, -0.004187230389410009, -0.029759386792344838, -0.19934622107151276, 0.046267570345662534, 0.18403258344793963, -0.003251516968399907, 0.20933014961580435, -0.4514537554932758, -0.24814545299159363, 0.0525963040466498, 0.2096423119486038, 0.1322764731269975, 0.018319877213798463, -0.2711177867022343, 0.06937599307275377, -0.12376371690576586, -0.1426665015363445, -0.004686742402554955, 0.036315283139022846, 0.006495280234958045, -0.2865621847183017, 0.1950080123739705, -0.010081030806759372, -0.0017219829314853996, -0.09711778907755313, -0.054493746371008456, 0.015213310097654661, 0.1268382576345175, 0.10583763775321131, 0.012948719479027204, 0.13063026061475588, -0.1013180354105619, -0.12386235771312688, 0.32801352398625266, -0.134181866573878, -0.11130219866754487, 0.17607940886712944, -0.19374250772913607, -0.0508245497282284, 0.21613968934010094, 0.12591400477079637, 0.11311700112613228, -0.1231337557843896, 0.07233721822861601, 0.01194193159850935, 0.2039116392673653, 0.07888970102067105, 0.06880277645056292, 0.16828372630213076, 0.23132648456642832, 0.026659221347169176, 0.04932531125693155, -0.1436902269391188, -0.14559785677314116, -0.272016300916827, -0.1190474514660309, -0.16083249413835196, 0.08970783603338835, -0.12293831001882911, -0.14792861392561463, 0.3919354317719505, 0.1370110038697021, 0.21579846658763321, 0.14894296667504628, 0.2990407510951627, 0.18400076556220787, 0.0615055037245232, 0.06111028067243751, 0.23850862878801612, 0.1407983562676236, 0.09886032069819824, -0.26437498879871174, 0.04783290280465735, 0.045050772755833655] |
710.3156 | CP-violation in $b \to s$ Penguin Decays at BaBar | We present the new and updated $BABAR$ measurements of CP-violation studies
for many $b\to s $ penguin decay modes. We report the first observation of
mixing-induced CP-violation in $B^0 \to \eta ^{'} K^0$ with a significance
(including systematic uncertainties) of 5.5$\sigma$. We also present the first
observation of the decay $B^0 \to \rho ^0 K^0$. Using the time-dependent Dalitz
plot analysis of $B^0\to K^+K^- K^0$ decay, the CP-parameters $\mathcal A_{CP}$
and $\beta_{eff}$ are measured with $4.8\sigma$ significance, and we reject the
solution near $\pi /2 - \beta_{eff}$ at $4.5\sigma$. We also present the
updated measurements of CP-violating parameters for $B^0 \to K_S^0 \pi ^0$,
$K_S^0K_S^0K_S^0$ and $\pi ^0 \pi ^0 K_S^0$ decays. An updated measurements of
the CP-violating charge asymmetries for $B^{\pm}\to \eta ^{'} K^{\pm}$, $\eta
K^{\pm}$, $\omega K^{\pm}$ decays are also presented. The measurements are
based on the data sample recorded at the $\Upsilon (4S)$ resonance with $BABAR$
detector at the PEP-II $B$-meson Factory at SLAC.
| hep-ex | we present the new and updated babar measurements of cpviolation studies for many bto s penguin decay modes we report the first observation of mixinginduced cpviolation in b0 to eta k0 with a significance including systematic uncertainties of 55sigma we also present the first observation of the decay b0 to rho 0 k0 using the timedependent dalitz plot analysis of b0to kk k0 decay the cpparameters mathcal a_cp and beta_eff are measured with 48sigma significance and we reject the solution near pi 2 beta_eff at 45sigma we also present the updated measurements of cpviolating parameters for b0 to k_s0 pi 0 k_s0k_s0k_s0 and pi 0 pi 0 k_s0 decays an updated measurements of the cpviolating charge asymmetries for bpmto eta kpm eta kpm omega kpm decays are also presented the measurements are based on the data sample recorded at the upsilon 4s resonance with babar detector at the pepii bmeson factory at slac | [['we', 'present', 'the', 'new', 'and', 'updated', 'babar', 'measurements', 'of', 'cpviolation', 'studies', 'for', 'many', 'bto', 's', 'penguin', 'decay', 'modes', 'we', 'report', 'the', 'first', 'observation', 'of', 'mixinginduced', 'cpviolation', 'in', 'b0', 'to', 'eta', 'k0', 'with', 'a', 'significance', 'including', 'systematic', 'uncertainties', 'of', '55sigma', 'we', 'also', 'present', 'the', 'first', 'observation', 'of', 'the', 'decay', 'b0', 'to', 'rho', '0', 'k0', 'using', 'the', 'timedependent', 'dalitz', 'plot', 'analysis', 'of', 'b0to', 'kk', 'k0', 'decay', 'the', 'cpparameters', 'mathcal', 'a_cp', 'and', 'beta_eff', 'are', 'measured', 'with', '48sigma', 'significance', 'and', 'we', 'reject', 'the', 'solution', 'near', 'pi', '2', 'beta_eff', 'at', '45sigma', 'we', 'also', 'present', 'the', 'updated', 'measurements', 'of', 'cpviolating', 'parameters', 'for', 'b0', 'to', 'k_s0', 'pi', '0', 'k_s0k_s0k_s0', 'and', 'pi', '0', 'pi', '0', 'k_s0', 'decays', 'an', 'updated', 'measurements', 'of', 'the', 'cpviolating', 'charge', 'asymmetries', 'for', 'bpmto', 'eta', 'kpm', 'eta', 'kpm', 'omega', 'kpm', 'decays', 'are', 'also', 'presented', 'the', 'measurements', 'are', 'based', 'on', 'the', 'data', 'sample', 'recorded', 'at', 'the', 'upsilon', '4s', 'resonance', 'with', 'babar', 'detector', 'at', 'the', 'pepii', 'bmeson', 'factory', 'at', 'slac']] | [-0.12490412976210381, 0.21716879562728048, -0.09499826435530126, 0.059682217920014005, -0.07113811500148465, -0.18063973966332164, 0.1293198472437825, 0.25305336929968747, -0.19508393354935955, -0.20366114865223697, -0.04898196852547024, -0.4722428544368965, 0.06183116093419788, 0.13585861482802433, 0.1385067298650643, 0.16085983712738072, 0.11384730863065724, -0.007185490999296801, -0.08340578752304643, -0.10597125843663804, 0.17977511843771285, -0.029113680007096552, 0.12519485664412083, 0.04648237588463832, -0.09680136997446985, -0.03032819497158492, -0.09730820296739308, -0.13024662616385135, -0.2909988435440148, -0.032932987516832275, 0.23355212393648528, 0.14298356503336104, 0.04902226400148395, -0.27044088993697013, 0.06744473780326496, 0.20902757012032416, 0.18009237723042634, 0.012447965035326039, -0.03563510548610191, -0.46500223583313605, 0.18025824045207325, -0.12025706753110056, -0.038745794012380874, -0.1059984312090554, 0.10358119709571416, -0.1490331655283403, -0.4179640626195596, 0.15828902497120503, -0.12838657378274576, 0.1274372542227637, -0.018051987057490063, -0.3399157046112201, 0.01749930153323325, -0.00845609348119292, 0.1119479342234253, 0.12966513595796678, 0.17417581915078278, -0.040112444230460176, -0.16548242328676166, 0.3397068731388114, -0.08975530731097012, -0.1535572364235556, 0.05029249095222265, -0.3007633452494906, -0.21083250322644384, 0.18598879982920868, 0.23490368420665234, 0.06058722436551424, -0.1748641762043664, 0.13478070328672054, 0.0013451224550703504, 0.16944065546949968, 0.09772285903859514, 0.07174219520429508, 0.11376675312092763, 0.18116318865830314, -0.043650940936814306, 0.026525155486175112, -0.1926458907415412, 0.06228194199502468, -0.49001533244520623, -0.12724160011133043, -0.04182605504594891, 0.08553922801842875, -0.025880474649255615, -0.007535839831111151, 0.34363891635034605, 0.015830804223799153, 0.30753857794137585, 0.00947016845025517, 0.31914130786729866, 0.07682390894358422, -0.04400960039285733, 0.07547987091188497, 0.3230460388878891, 0.2165300886914603, 0.17105833212505803, -0.3696136492711572, 0.04422186842089556, -0.05567448092809576] |
710.3157 | Exponent Inequalities in Dynamical Systems | In this letter we derive exponent inequalities relating the dynamic exponent
$z$ to the steady state exponent $\Gamma$ for a general class of stochastically
driven dynamical systems. We begin by deriving a general exact inequality,
relating the response function and the correlation function, from which the
various exponent inequalities emanate. We then distinguish between two classes
of dynamical systems and obtain different and complementary inequalities
relating $z$ and $\Gamma$. The consequences of those inequalities for a wide
set of dynamical problems, including critical dynamics and
Kardar-Parisi-Zhang-like problems are discussed.
| cond-mat.stat-mech cond-mat.dis-nn cond-mat.mtrl-sci cond-mat.soft nlin.CD | in this letter we derive exponent inequalities relating the dynamic exponent z to the steady state exponent gamma for a general class of stochastically driven dynamical systems we begin by deriving a general exact inequality relating the response function and the correlation function from which the various exponent inequalities emanate we then distinguish between two classes of dynamical systems and obtain different and complementary inequalities relating z and gamma the consequences of those inequalities for a wide set of dynamical problems including critical dynamics and kardarparisizhanglike problems are discussed | [['in', 'this', 'letter', 'we', 'derive', 'exponent', 'inequalities', 'relating', 'the', 'dynamic', 'exponent', 'z', 'to', 'the', 'steady', 'state', 'exponent', 'gamma', 'for', 'a', 'general', 'class', 'of', 'stochastically', 'driven', 'dynamical', 'systems', 'we', 'begin', 'by', 'deriving', 'a', 'general', 'exact', 'inequality', 'relating', 'the', 'response', 'function', 'and', 'the', 'correlation', 'function', 'from', 'which', 'the', 'various', 'exponent', 'inequalities', 'emanate', 'we', 'then', 'distinguish', 'between', 'two', 'classes', 'of', 'dynamical', 'systems', 'and', 'obtain', 'different', 'and', 'complementary', 'inequalities', 'relating', 'z', 'and', 'gamma', 'the', 'consequences', 'of', 'those', 'inequalities', 'for', 'a', 'wide', 'set', 'of', 'dynamical', 'problems', 'including', 'critical', 'dynamics', 'and', 'kardarparisizhanglike', 'problems', 'are', 'discussed']] | [-0.11924334466245702, 0.14218377557964149, -0.09424821241885763, 0.1202168704092566, -0.02476790952972475, -0.19988722693233285, 0.06578669712193501, 0.2635012695735151, -0.33093914184031414, -0.27472131653815846, 0.10188899774617642, -0.28477394622115587, -0.19189726912670516, 0.2742210194780703, 0.02275180792309005, 0.1148153244284913, -0.03923213482961397, -0.01633963228166315, -0.13464670041205615, -0.18043365176973483, 0.3977589309638874, -0.05782885420855812, 0.2189085123086856, 0.04031823795627464, 0.07287585586097768, 0.006777296393093738, -0.05266530765220523, 0.04394882758126848, -0.258791207367639, 0.12271711898607794, 0.20808469417335634, 0.11456225364765321, 0.251858144575222, -0.34118527766655793, -0.210997951481576, 0.16637306405358354, 0.0978391799223821, 0.055971485820588314, -0.030998919825916262, -0.2931192376312207, 0.052840975621207195, -0.1450790522027422, -0.17742076956413008, -0.04365615948600779, 0.047200524756176906, 0.08486999322617934, -0.31272253624840896, 0.15965830656403507, 0.03259927075421067, 0.058658245390027085, -0.09284649670272219, -0.0780032838202632, 0.0595522895098177, 0.1415661298934455, 0.044908178144727244, 0.014944950403084724, 0.11560411787253212, -0.12157654549280944, -0.13884158083700723, 0.3084141061196781, 0.02059299934692469, -0.21120385427705266, 0.21431404748000205, -0.14858879618325524, -0.1899782990803942, 0.07457767504754222, 0.2029431387927616, 0.11797765346603807, -0.1808661604829302, 0.09886085810020714, -0.024596125935204327, 0.12481608961454847, 0.04042029960229146, 0.07905596230755857, 0.1428034817059101, 0.05679045730159322, 0.06517147726844996, 0.19114056443372232, -0.009854584805328737, -0.13381689016453244, -0.33652702414176683, -0.13904928611141673, -0.1408524072983048, 0.10687311209304343, -0.15447403863254294, -0.12410376678136262, 0.3892530629580671, 0.07885845338883386, 0.18559990299399942, 0.11970093251676933, 0.15783480755900117, 0.18694061365667122, -0.03587509019681337, 0.05360004846641624, 0.2193427786273374, 0.1835280853424179, 0.08212260452141477, -0.1806125349751462, 0.06803800065112724, 0.11778687639955686] |
710.3158 | Superfluid-insulator transition and BCS-BEC crossover in dirty ultracold
Fermi gas | Superfluid-insulator transition in an ultracold Fermi gas in the external
disorder potential of the amplitude $V_0$ is studied as a function of the
concentration of the gas $n$ and magnetic field $B$ in the presence of the
Feshbach resonance. We find the zero temperature phase diagrams in the plane
($B,n$) at a given $V_0$ and in the plane $(V_0, n)$ at a given $B$. Our
results for BEC side of the diagram are also valid for the superfluid-insulator
transition in a Bose gas.
| cond-mat.dis-nn | superfluidinsulator transition in an ultracold fermi gas in the external disorder potential of the amplitude v_0 is studied as a function of the concentration of the gas n and magnetic field b in the presence of the feshbach resonance we find the zero temperature phase diagrams in the plane bn at a given v_0 and in the plane v_0 n at a given b our results for bec side of the diagram are also valid for the superfluidinsulator transition in a bose gas | [['superfluidinsulator', 'transition', 'in', 'an', 'ultracold', 'fermi', 'gas', 'in', 'the', 'external', 'disorder', 'potential', 'of', 'the', 'amplitude', 'v_0', 'is', 'studied', 'as', 'a', 'function', 'of', 'the', 'concentration', 'of', 'the', 'gas', 'n', 'and', 'magnetic', 'field', 'b', 'in', 'the', 'presence', 'of', 'the', 'feshbach', 'resonance', 'we', 'find', 'the', 'zero', 'temperature', 'phase', 'diagrams', 'in', 'the', 'plane', 'bn', 'at', 'a', 'given', 'v_0', 'and', 'in', 'the', 'plane', 'v_0', 'n', 'at', 'a', 'given', 'b', 'our', 'results', 'for', 'bec', 'side', 'of', 'the', 'diagram', 'are', 'also', 'valid', 'for', 'the', 'superfluidinsulator', 'transition', 'in', 'a', 'bose', 'gas']] | [-0.20246730336052624, 0.20043012361951784, -0.0441450101312205, 0.0009324056761204658, 0.054212274456239606, -0.12467824117875242, 0.09407950307141585, 0.3528249410979719, -0.2139156246221209, -0.22016157732760333, 0.005240055510819137, -0.30448640833597584, -0.08244059291522367, 0.1559160585257124, 0.07161253843321858, 0.017405662764177984, -0.04289675514067871, 0.08654070896915643, -0.09700759817812457, -0.24373640887529016, 0.32130737183054525, -0.03348292479942362, 0.22765556099005493, 0.09549576746501837, 0.023308076351566846, -0.00526088574362627, 0.11851575954940664, -0.0036562744819794795, -0.19523528331598963, -0.00202683681420174, 0.21165137041180607, -0.02883941122521478, 0.2040025007024587, -0.3506877133734973, -0.2084450406100915, 0.08631435426019402, 0.19296516624492516, 0.14211108113627835, -0.07365869054099522, -0.31613761952977226, -0.028422740994986283, -0.13675467548779693, -0.20356297485687466, -0.013640096702848572, 0.09660798439851412, 0.019760733318840523, -0.2990253942076072, 0.1050586396998709, 0.05227795016604016, 0.12694237200285208, -0.07874373989516353, -0.10270043427730541, -0.03845067449890257, 0.07643558712204895, -0.03106283152150551, 0.13111719391336776, 0.1665084298576666, -0.2174501332330955, 0.0057056344181568505, 0.3903008404423494, -0.13717719120343766, -0.11695484299751291, 0.17309937015644286, -0.23814059646396213, -0.0819151135980634, 0.17935458780546865, 0.14611834350479655, 0.0472700820775725, -0.08121873665017536, 0.14365524987000075, -0.052899424121322404, 0.12589281963896995, 0.05542233483641442, -0.0017449746402092726, 0.27245068873267575, 0.13400626543864427, 0.0415330785494971, 0.19210624405609286, -0.15338481570515466, -0.07322069084698177, -0.31844749541796114, -0.16231018337365016, -0.238930196268484, -0.025777671676892114, -0.09376724008211294, -0.19719635538128485, 0.3409358581965677, 0.13760114403957702, 0.2727615342946044, -0.0537819379985512, 0.26027305660971317, 0.14292709313961396, -0.0015210600398727749, 0.061912310461188294, 0.22269040901853468, 0.18095822324022562, 0.12042335509490895, -0.2943138367137367, -0.0037404061771974147, 0.03411331413740135] |
710.3159 | Unveiling dark halos in lensing galaxies | We present a spatially resolved comparison of the stellar-mass and total-mass
surface distributions of nine early-type galaxies. The galaxies are a subset of
the Sloan Lens ACS survey (or SLACS; Bolton et al. 2006). The total-mass
distributions are obtained by exploring pixelated mass models that reproduce
the lensed images. The stellar-mass distributions are derived from population
synthesis models fit to the photometry of the lensing galaxies. Uncertainties -
mainly model degeneracies - are also computed. Stars can account for all the
mass in the inner regions. A Salpeter IMF actually gives too much stellar mass
in the inner regions and hence appears ruled out. Dark matter becomes
significant by the half-light radius and becomes increasingly dominant at
larger radii. The stellar and dark components are closely aligned, but the
actual ellipticities are not correlated. Finally, we attempt to intuitively
summarize the results by rendering the density, stellar-vs-dark ratio, and
uncertainties as false-colour maps.
| astro-ph | we present a spatially resolved comparison of the stellarmass and totalmass surface distributions of nine earlytype galaxies the galaxies are a subset of the sloan lens acs survey or slacs bolton et al 2006 the totalmass distributions are obtained by exploring pixelated mass models that reproduce the lensed images the stellarmass distributions are derived from population synthesis models fit to the photometry of the lensing galaxies uncertainties mainly model degeneracies are also computed stars can account for all the mass in the inner regions a salpeter imf actually gives too much stellar mass in the inner regions and hence appears ruled out dark matter becomes significant by the halflight radius and becomes increasingly dominant at larger radii the stellar and dark components are closely aligned but the actual ellipticities are not correlated finally we attempt to intuitively summarize the results by rendering the density stellarvsdark ratio and uncertainties as falsecolour maps | [['we', 'present', 'a', 'spatially', 'resolved', 'comparison', 'of', 'the', 'stellarmass', 'and', 'totalmass', 'surface', 'distributions', 'of', 'nine', 'earlytype', 'galaxies', 'the', 'galaxies', 'are', 'a', 'subset', 'of', 'the', 'sloan', 'lens', 'acs', 'survey', 'or', 'slacs', 'bolton', 'et', 'al', '2006', 'the', 'totalmass', 'distributions', 'are', 'obtained', 'by', 'exploring', 'pixelated', 'mass', 'models', 'that', 'reproduce', 'the', 'lensed', 'images', 'the', 'stellarmass', 'distributions', 'are', 'derived', 'from', 'population', 'synthesis', 'models', 'fit', 'to', 'the', 'photometry', 'of', 'the', 'lensing', 'galaxies', 'uncertainties', 'mainly', 'model', 'degeneracies', 'are', 'also', 'computed', 'stars', 'can', 'account', 'for', 'all', 'the', 'mass', 'in', 'the', 'inner', 'regions', 'a', 'salpeter', 'imf', 'actually', 'gives', 'too', 'much', 'stellar', 'mass', 'in', 'the', 'inner', 'regions', 'and', 'hence', 'appears', 'ruled', 'out', 'dark', 'matter', 'becomes', 'significant', 'by', 'the', 'halflight', 'radius', 'and', 'becomes', 'increasingly', 'dominant', 'at', 'larger', 'radii', 'the', 'stellar', 'and', 'dark', 'components', 'are', 'closely', 'aligned', 'but', 'the', 'actual', 'ellipticities', 'are', 'not', 'correlated', 'finally', 'we', 'attempt', 'to', 'intuitively', 'summarize', 'the', 'results', 'by', 'rendering', 'the', 'density', 'stellarvsdark', 'ratio', 'and', 'uncertainties', 'as', 'falsecolour', 'maps']] | [-0.04907680596474983, 0.10107227863318868, -0.08775864063436713, 0.17242954998048984, -0.10330693594073789, -0.06056316022529898, -0.017027325639126185, 0.4097411723044895, -0.12249943596895334, -0.4034513690377642, 0.03835015413945153, -0.3122354691579388, -0.025362776523471995, 0.20360818202333875, -0.051069615385338864, 0.003404004480564754, 0.065854955528669, -0.13746274156408422, -0.07847289420858075, -0.2859796201896185, 0.33908011679281325, 0.06580696015574988, 0.172727353708356, -0.07750573153326275, 0.02858512436708548, -0.08166698716235528, -0.13001072825863957, 0.014086955783251148, -0.18632709815178805, 0.05064422524090381, 0.2411011209570894, 0.12598331949217306, 0.1843665249414442, -0.3172057152119459, -0.1947435742969181, 0.09467496112576568, 0.2119139525164294, 0.0758376618309709, -0.05709683242091446, -0.3127401041237312, 0.044861619070878614, -0.16999282544766298, -0.1383454756117457, 0.02526193591264067, 0.03563548754135009, 0.0366250466799126, -0.2254240826153565, 0.17996218006986806, 0.008364807483083849, 0.027669231930822633, -0.11997713740202505, -0.15360936863604158, -0.1231676504303445, 0.07617472896771194, 0.011599796011593918, 0.05117128322513512, 0.21011672055523767, -0.15508465104480118, 0.028877816656791924, 0.4072965735182066, -0.016489454640791244, -0.0827915051689484, 0.1753145594512356, -0.19319872164531554, -0.1311132491991274, 0.1040591310448757, 0.15533158272479805, 0.09797769365988472, -0.18506394812974752, 0.04756123092667756, -0.04300000571845812, 0.24324570135713475, 0.03835935414387476, 0.02511410331103526, 0.3767296040318156, 0.05963433750681642, 0.02993119367816909, 0.04939391157721113, -0.21698421563784398, -0.062043360283288905, -0.22882845363385926, -0.043419798711102284, -0.12940926747021558, 0.043832006287739936, -0.12314226038880167, -0.11168223838228107, 0.33377796864049547, 0.09328714623303472, 0.2682466775869588, 0.11396153878667485, 0.3287273704905638, 0.0851591336083811, 0.1186997560634209, 0.08666572262901788, 0.32363701256104566, 0.17559564021578522, 0.045624968968488076, -0.19862021278314942, 0.07460624503984348, -0.018322516901531076] |
710.316 | Resolving the Formation of Protogalaxies. III. Feedback from the First
Stars | The first stars form in dark matter halos of masses ~10^6 M_sun as suggested
by an increasing number of numerical simulations. Radiation feedback from these
stars expels most of the gas from their shallow potential well of their
surrounding dark matter halos. We use cosmological adaptive mesh refinement
simulations that include self-consistent Population III star formation and
feedback to examine the properties of assembling early dwarf galaxies. Accurate
radiative transport is modeled with adaptive ray tracing. We include supernova
explosions and follow the metal enrichment of the intergalactic medium. The
calculations focus on the formation of several dwarf galaxies and their
progenitors. In these halos, baryon fractions in 10^8 solar mass halos decrease
by a factor of 2 with stellar feedback and by a factor of 3 with supernova
explosions. We find that radiation feedback and supernova explosions increase
gaseous spin parameters up to a factor of 4 and vary with time. Stellar
feedback, supernova explosions, and H_2 cooling create a complex, multi-phase
interstellar medium whose densities and temperatures can span up to 6 orders of
magnitude at a given radius. The pair-instability supernovae of Population III
stars alone enrich the halos with virial temperatures of 10^4 K to
approximately 10^{-3} of solar metallicity. We find that 40% of the heavy
elements resides in the intergalactic medium (IGM) at the end of our
calculations. The highest metallicity gas exists in supernova remnants and very
dilute regions of the IGM.
| astro-ph | the first stars form in dark matter halos of masses 106 m_sun as suggested by an increasing number of numerical simulations radiation feedback from these stars expels most of the gas from their shallow potential well of their surrounding dark matter halos we use cosmological adaptive mesh refinement simulations that include selfconsistent population iii star formation and feedback to examine the properties of assembling early dwarf galaxies accurate radiative transport is modeled with adaptive ray tracing we include supernova explosions and follow the metal enrichment of the intergalactic medium the calculations focus on the formation of several dwarf galaxies and their progenitors in these halos baryon fractions in 108 solar mass halos decrease by a factor of 2 with stellar feedback and by a factor of 3 with supernova explosions we find that radiation feedback and supernova explosions increase gaseous spin parameters up to a factor of 4 and vary with time stellar feedback supernova explosions and h_2 cooling create a complex multiphase interstellar medium whose densities and temperatures can span up to 6 orders of magnitude at a given radius the pairinstability supernovae of population iii stars alone enrich the halos with virial temperatures of 104 k to approximately 103 of solar metallicity we find that 40 of the heavy elements resides in the intergalactic medium igm at the end of our calculations the highest metallicity gas exists in supernova remnants and very dilute regions of the igm | [['the', 'first', 'stars', 'form', 'in', 'dark', 'matter', 'halos', 'of', 'masses', '106', 'm_sun', 'as', 'suggested', 'by', 'an', 'increasing', 'number', 'of', 'numerical', 'simulations', 'radiation', 'feedback', 'from', 'these', 'stars', 'expels', 'most', 'of', 'the', 'gas', 'from', 'their', 'shallow', 'potential', 'well', 'of', 'their', 'surrounding', 'dark', 'matter', 'halos', 'we', 'use', 'cosmological', 'adaptive', 'mesh', 'refinement', 'simulations', 'that', 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710.3161 | Formation of central massive objects via tidal compression | For a density that is not too sharply peaked towards the center, the local
tidal field becomes compressive in all three directions. Available gas can then
collapse and form a cluster of stars in the center, including or even being
dominated by a central black hole. We show that for a wide range of
(deprojected) Sersic profiles in a spherical potential, the tidal forces are
compressive within a region which encloses most of the corresponding light of
observed nuclear clusters in both late-type and early-type galaxies. In such
models, tidal forces become disruptive nearly everywhere for relatively large
Sersic indices n >= 3.5. We also show that the mass of a central massive object
(CMO) required to remove all radial compressive tidal forces scales linearly
with the mass of the host galaxy. If CMOs formed in (progenitor) galaxies with
n ~ 1, we predict a mass fraction of ~ 0.1-0.5%, consistent with observations
of nuclear clusters and super-massive black holes. While we find that tidal
compression possibly drives the formation of CMOs in galaxies, beyond the
central regions and on larger scales in clusters disruptive tidal forces might
contribute to prevent gas from cooling.
| astro-ph | for a density that is not too sharply peaked towards the center the local tidal field becomes compressive in all three directions available gas can then collapse and form a cluster of stars in the center including or even being dominated by a central black hole we show that for a wide range of deprojected sersic profiles in a spherical potential the tidal forces are compressive within a region which encloses most of the corresponding light of observed nuclear clusters in both latetype and earlytype galaxies in such models tidal forces become disruptive nearly everywhere for relatively large sersic indices n 35 we also show that the mass of a central massive object cmo required to remove all radial compressive tidal forces scales linearly with the mass of the host galaxy if cmos formed in progenitor galaxies with n 1 we predict a mass fraction of 0105 consistent with observations of nuclear clusters and supermassive black holes while we find that tidal compression possibly drives the formation of cmos in galaxies beyond the central regions and on larger scales in clusters disruptive tidal forces might contribute to prevent gas from cooling | [['for', 'a', 'density', 'that', 'is', 'not', 'too', 'sharply', 'peaked', 'towards', 'the', 'center', 'the', 'local', 'tidal', 'field', 'becomes', 'compressive', 'in', 'all', 'three', 'directions', 'available', 'gas', 'can', 'then', 'collapse', 'and', 'form', 'a', 'cluster', 'of', 'stars', 'in', 'the', 'center', 'including', 'or', 'even', 'being', 'dominated', 'by', 'a', 'central', 'black', 'hole', 'we', 'show', 'that', 'for', 'a', 'wide', 'range', 'of', 'deprojected', 'sersic', 'profiles', 'in', 'a', 'spherical', 'potential', 'the', 'tidal', 'forces', 'are', 'compressive', 'within', 'a', 'region', 'which', 'encloses', 'most', 'of', 'the', 'corresponding', 'light', 'of', 'observed', 'nuclear', 'clusters', 'in', 'both', 'latetype', 'and', 'earlytype', 'galaxies', 'in', 'such', 'models', 'tidal', 'forces', 'become', 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710.3162 | String junctions in curved backgrounds, their stability and dyon
interactions in SYM | We provide a systematic construction of string junctions in curved
backgrounds which are relevant in computing, within the gauge/gravity
correspondence, the interaction energy of heavy dyons, notably of
quark-monopole pairs, in strongly coupled SYM theories. To isolate the
configurations of physical interest we examine their stability under small
fluctuations and prove several general statements. We present all details, in
several examples, involving non-extremal and multicenter D3-brane backgrounds
as well as the Rindler space. We show that a string junction could be
perturbatively stable even in branches that are not energetically the most
favorable ones. We present a mechanical analog of this phenomenon.
| hep-th | we provide a systematic construction of string junctions in curved backgrounds which are relevant in computing within the gaugegravity correspondence the interaction energy of heavy dyons notably of quarkmonopole pairs in strongly coupled sym theories to isolate the configurations of physical interest we examine their stability under small fluctuations and prove several general statements we present all details in several examples involving nonextremal and multicenter d3brane backgrounds as well as the rindler space we show that a string junction could be perturbatively stable even in branches that are not energetically the most favorable ones we present a mechanical analog of this phenomenon | [['we', 'provide', 'a', 'systematic', 'construction', 'of', 'string', 'junctions', 'in', 'curved', 'backgrounds', 'which', 'are', 'relevant', 'in', 'computing', 'within', 'the', 'gaugegravity', 'correspondence', 'the', 'interaction', 'energy', 'of', 'heavy', 'dyons', 'notably', 'of', 'quarkmonopole', 'pairs', 'in', 'strongly', 'coupled', 'sym', 'theories', 'to', 'isolate', 'the', 'configurations', 'of', 'physical', 'interest', 'we', 'examine', 'their', 'stability', 'under', 'small', 'fluctuations', 'and', 'prove', 'several', 'general', 'statements', 'we', 'present', 'all', 'details', 'in', 'several', 'examples', 'involving', 'nonextremal', 'and', 'multicenter', 'd3brane', 'backgrounds', 'as', 'well', 'as', 'the', 'rindler', 'space', 'we', 'show', 'that', 'a', 'string', 'junction', 'could', 'be', 'perturbatively', 'stable', 'even', 'in', 'branches', 'that', 'are', 'not', 'energetically', 'the', 'most', 'favorable', 'ones', 'we', 'present', 'a', 'mechanical', 'analog', 'of', 'this', 'phenomenon']] | [-0.18305350878440282, 0.15848455250299737, -0.059942631062357594, 0.15834989530541113, -0.037033698699601436, -0.14202931864522672, -0.007902752500776128, 0.3462858122896732, -0.1733345113404771, -0.2591811672546992, 0.07236664777726629, -0.26910327892640934, -0.16337472278916954, 0.17872410225134125, -0.058279071233746614, 0.005880555325169482, 0.03337969181616334, 0.02399763885877488, -0.07261489340053945, -0.23577806934732579, 0.3295460580756851, 0.007593674415450853, 0.27567340258289785, 0.07075519058750668, 0.039181544317626486, -0.01698396692518145, 0.04386113739262024, 0.06254725929266344, -0.13973408002094206, 0.10484948618264467, 0.2972678376513524, 0.07663219120106934, 0.14796406126526349, -0.46914059351034026, -0.198943623220354, 0.08811439957022302, 0.17973740285892478, 0.2065161283929175, -0.059883594067822045, -0.25059388581590325, 0.06512674604035805, -0.16323346574334244, -0.14124168006831087, -0.12851034905122338, 0.019462957476064854, -0.006672552825902504, -0.20577350899339744, 0.05375447738048274, 0.02625534513565214, -0.002285155440297197, -0.05782062507134077, -0.06959586363005013, -0.036598532686612624, 0.08663084257083635, 0.10046803242727823, -0.009143990213416662, 0.15832307891847164, -0.16930345919065395, -0.12439685229979017, 0.368738123544437, -0.031770681396272836, -0.2364255467790131, 0.20874179859517836, -0.15688084136391076, -0.18239816065475928, 0.08883387468956119, 0.1199002247075459, 0.20416923842904175, -0.16113649855605236, 0.14033015059448742, -0.020410825537207227, 0.092651681956269, 0.11409482780122655, 0.10876259317121688, 0.2727724064470214, 0.1364127255693151, 0.026815372537456306, 0.19672242821280972, -0.033769123826299194, -0.12333534852950834, -0.39300947827195715, -0.12251263556747433, -0.08300653220651963, 0.07265106631986747, -0.09870466513201986, -0.2075766169451241, 0.3838332098881331, 0.14746219399910165, 0.18772660324569135, -0.003137569311851015, 0.20761714032029405, 0.0477067201293311, 0.03594294397899991, 0.05059343343600631, 0.2751222409161867, 0.11857376253122792, 0.07335328282423172, -0.20631101835226895, -0.0707462055964724, 0.08103207772707238] |
710.3163 | The Turbulent Story of X-ray Bursts: Effects of Shear Mixing on
Accreting Neutron Stars | During accretion, a neutron star (NS) is spun up as angular momentum is
transported through its liquid surface layers. We study the resulting
differentially rotating profile, focusing on the impact this has for type I
X-ray bursts. The viscous heating is found to be negligible, but turbulent
mixing can be activated. Mixing has the greatest impact when the buoyancy at
the compositional discontinuity between accreted matter and ashes is overcome.
This occurs preferentially at high accretion rates or low spin frequencies and
may depend on the ash composition from the previous burst. We then find two new
regimes of burning. The first is ignition in a layer containing a mixture of
heavier elements with recurrence times as short as ~5-30 minutes, similar to
short recurrence time bursts. When mixing is sufficiently strong, a second
regime is found where accreted helium mixes deep enough to burn stably,
quenching X-ray bursts altogether. The carbon-rich material produced by stable
helium burning would be important for triggering and fueling superbursts.
| astro-ph | during accretion a neutron star ns is spun up as angular momentum is transported through its liquid surface layers we study the resulting differentially rotating profile focusing on the impact this has for type i xray bursts the viscous heating is found to be negligible but turbulent mixing can be activated mixing has the greatest impact when the buoyancy at the compositional discontinuity between accreted matter and ashes is overcome this occurs preferentially at high accretion rates or low spin frequencies and may depend on the ash composition from the previous burst we then find two new regimes of burning the first is ignition in a layer containing a mixture of heavier elements with recurrence times as short as 530 minutes similar to short recurrence time bursts when mixing is sufficiently strong a second regime is found where accreted helium mixes deep enough to burn stably quenching xray bursts altogether the carbonrich material produced by stable helium burning would be important for triggering and fueling superbursts | [['during', 'accretion', 'a', 'neutron', 'star', 'ns', 'is', 'spun', 'up', 'as', 'angular', 'momentum', 'is', 'transported', 'through', 'its', 'liquid', 'surface', 'layers', 'we', 'study', 'the', 'resulting', 'differentially', 'rotating', 'profile', 'focusing', 'on', 'the', 'impact', 'this', 'has', 'for', 'type', 'i', 'xray', 'bursts', 'the', 'viscous', 'heating', 'is', 'found', 'to', 'be', 'negligible', 'but', 'turbulent', 'mixing', 'can', 'be', 'activated', 'mixing', 'has', 'the', 'greatest', 'impact', 'when', 'the', 'buoyancy', 'at', 'the', 'compositional', 'discontinuity', 'between', 'accreted', 'matter', 'and', 'ashes', 'is', 'overcome', 'this', 'occurs', 'preferentially', 'at', 'high', 'accretion', 'rates', 'or', 'low', 'spin', 'frequencies', 'and', 'may', 'depend', 'on', 'the', 'ash', 'composition', 'from', 'the', 'previous', 'burst', 'we', 'then', 'find', 'two', 'new', 'regimes', 'of', 'burning', 'the', 'first', 'is', 'ignition', 'in', 'a', 'layer', 'containing', 'a', 'mixture', 'of', 'heavier', 'elements', 'with', 'recurrence', 'times', 'as', 'short', 'as', '530', 'minutes', 'similar', 'to', 'short', 'recurrence', 'time', 'bursts', 'when', 'mixing', 'is', 'sufficiently', 'strong', 'a', 'second', 'regime', 'is', 'found', 'where', 'accreted', 'helium', 'mixes', 'deep', 'enough', 'to', 'burn', 'stably', 'quenching', 'xray', 'bursts', 'altogether', 'the', 'carbonrich', 'material', 'produced', 'by', 'stable', 'helium', 'burning', 'would', 'be', 'important', 'for', 'triggering', 'and', 'fueling', 'superbursts']] | [-0.09038188305812472, 0.299336153177926, -0.05313845088772745, 0.09030201249960698, -0.08155810283721392, -0.1164257010523544, 0.048259681517101194, 0.37737981349521554, -0.2717505864047232, -0.2873522767836385, 0.08204930667493335, -0.28295527164633555, -0.00648212867946061, 0.20530682143401804, -0.027226631120071714, -0.04533429250593791, 0.0898660146238574, -0.020237100108650076, -0.08858573963200808, -0.22185971014445693, 0.2918741649068634, 0.0923113842432195, 0.19654490154447646, 0.019285677233710885, 0.058662452535838426, -0.13706792141479182, 0.003916059881210305, -0.06677752267569304, -0.13264756976817565, -0.0289420224992693, 0.22480639983641815, 0.052364540707140445, 0.23483366654983845, -0.47664668885654354, -0.2504831787636391, 0.07355273931766916, 0.18951095431111753, 0.061861262864332245, -0.09841462978055274, -0.1818801081888041, 0.07331172651218543, -0.23733671735523335, -0.10376543376359146, 0.013606055923008236, 0.08457739508489191, 0.05019848129318617, -0.2633430580664651, 0.11496527400709329, 0.10085167795179849, 0.007937496562393, -0.057857073809115596, -0.04751717358692942, -0.07641216020200806, 0.0732523355473826, 0.10718105560454753, 0.03253130573100489, 0.20021328568480998, -0.11312027427884021, 0.046746591215459515, 0.37294801998412214, -0.09213817169109965, -0.05266901221777122, 0.2429018473667822, -0.19506861182232668, -0.12220627657440772, 0.21564028053039527, 0.17001675620832177, 0.13667104687928838, -0.11264917801827871, -0.05021145998683326, 0.00727550894111754, 0.1965948023275102, 0.1301396643134193, -0.009289396580319896, 0.32081805201561514, 0.23378459676673793, 0.007938433784278985, 0.10086342291583879, -0.18312520806052432, -0.023844361507210386, -0.2451256834256676, -0.1131057548000062, -0.11468175384187959, 0.10298867284177231, -0.05804037970060508, -0.12287519903606679, 0.32245144195551706, 0.04373900695417794, 0.18503839378132966, -0.02509848809946912, 0.2872039257122361, 0.11640613168654738, 0.0787886899926823, 0.13811893169767278, 0.3087990289127611, 0.1833637568732185, 0.11494546255422194, -0.24679489931002602, 0.16381300836016077, 0.05139027165911014] |
710.3164 | The Importance of Satellite Quenching for the Build-Up of the Red
Sequence of Present Day Galaxies | In the current paradigm, red sequence galaxies are believed to have formed as
blue disk galaxies that subsequently had their star formation quenched. Since
red-sequence galaxies typically have an early-type morphology, the transition
from the blue to the red sequence also involves a morphological transformation.
In this paper we study the impact of transformation mechanisms that operate
only on satellite galaxies, such as strangulation, ram-pressure stripping and
galaxy harassment. Using a large galaxy group catalogue constructed from the
SDSS, we compare the colors and concentrations of satellites galaxies to those
of central galaxies of the same stellar mass, adopting the hypothesis that the
latter are the progenitors of the former. On average, satellites are redder and
more concentrated than central galaxies of the same stellar mass.
Central-satellite pairs that are matched in both stellar mass and color,
however, show no average concentration difference, indicating that the
transformation mechanisms affect color more than morphology. The color and
concentration differences of matched central-satellite pairs are completely
independent of the halo mass of the satellite galaxy, indicating that
satellite-specific transformation mechanisms are equally efficient in haloes of
all masses. This strongly favors strangulation as the main quenching mechanism
for satellite galaxies. Finally, we determine the relative importance of
satellite quenching for the build-up of the red sequence. We find that roughly
70 percent of red sequence satellite galaxies with a stellar mass of 10^9 Msun
had their star formation quenched as satellites. This drops rapidly to zero
with increasing stellar mass, indicating that a significant fraction of red
satellites were already quenched before they became a satellite.
| astro-ph | in the current paradigm red sequence galaxies are believed to have formed as blue disk galaxies that subsequently had their star formation quenched since redsequence galaxies typically have an earlytype morphology the transition from the blue to the red sequence also involves a morphological transformation in this paper we study the impact of transformation mechanisms that operate only on satellite galaxies such as strangulation rampressure stripping and galaxy harassment using a large galaxy group catalogue constructed from the sdss we compare the colors and concentrations of satellites galaxies to those of central galaxies of the same stellar mass adopting the hypothesis that the latter are the progenitors of the former on average satellites are redder and more concentrated than central galaxies of the same stellar mass centralsatellite pairs that are matched in both stellar mass and color however show no average concentration difference indicating that the transformation mechanisms affect color more than morphology the color and concentration differences of matched centralsatellite pairs are completely independent of the halo mass of the satellite galaxy indicating that satellitespecific transformation mechanisms are equally efficient in haloes of all masses this strongly favors strangulation as the main quenching mechanism for satellite galaxies finally we determine the relative importance of satellite quenching for the buildup of the red sequence we find that roughly 70 percent of red sequence satellite galaxies with a stellar mass of 109 msun had their star formation quenched as satellites this drops rapidly to zero with increasing stellar mass indicating that a significant fraction of red satellites were already quenched before they became a satellite | [['in', 'the', 'current', 'paradigm', 'red', 'sequence', 'galaxies', 'are', 'believed', 'to', 'have', 'formed', 'as', 'blue', 'disk', 'galaxies', 'that', 'subsequently', 'had', 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710.3165 | A 15.65 solar mass black hole in an eclipsing binary in the nearby
spiral galaxy Messier 33 | Stellar-mass black holes are discovered in X-ray emitting binary systems,
where their mass can be determined from the dynamics of their companion stars.
Models of stellar evolution have difficulty producing black holes in close
binaries with masses >10 solar masses, which is consistent with the fact that
the most massive stellar black holes known so all have masses within 1 sigma of
10 solar masses. Here we report a mass of 15.65 +/- 1.45 solar masses for the
black hole in the recently discovered system M33 X-7, which is located in the
nearby galaxy Messier 33 (M33) and is the only known black hole that is in an
eclipsing binary. In order to produce such a massive black hole, the progenitor
star must have retained much of its outer envelope until after helium fusion in
the core was completed. On the other hand, in order for the black hole to be in
its present 3.45 day orbit about its 70.0 +/- 6.9 solar mass companion, there
must have been a ``common envelope'' phase of evolution in which a significant
amount of mass was lost from the system. We find the common envelope phase
could not have occured in M33 X-7 unless the amount of mass lost from the
progenitor during its evolution was an order of magnitude less than what is
usually assumed in evolutionary models of massive stars.
| astro-ph | stellarmass black holes are discovered in xray emitting binary systems where their mass can be determined from the dynamics of their companion stars models of stellar evolution have difficulty producing black holes in close binaries with masses 10 solar masses which is consistent with the fact that the most massive stellar black holes known so all have masses within 1 sigma of 10 solar masses here we report a mass of 1565 145 solar masses for the black hole in the recently discovered system m33 x7 which is located in the nearby galaxy messier 33 m33 and is the only known black hole that is in an eclipsing binary in order to produce such a massive black hole the progenitor star must have retained much of its outer envelope until after helium fusion in the core was completed on the other hand in order for the black hole to be in its present 345 day orbit about its 700 69 solar mass companion there must have been a common envelope phase of evolution in which a significant amount of mass was lost from the system we find the common envelope phase could not have occured in m33 x7 unless the amount of mass lost from the progenitor during its evolution was an order of magnitude less than what is usually assumed in evolutionary models of massive stars | [['stellarmass', 'black', 'holes', 'are', 'discovered', 'in', 'xray', 'emitting', 'binary', 'systems', 'where', 'their', 'mass', 'can', 'be', 'determined', 'from', 'the', 'dynamics', 'of', 'their', 'companion', 'stars', 'models', 'of', 'stellar', 'evolution', 'have', 'difficulty', 'producing', 'black', 'holes', 'in', 'close', 'binaries', 'with', 'masses', '10', 'solar', 'masses', 'which', 'is', 'consistent', 'with', 'the', 'fact', 'that', 'the', 'most', 'massive', 'stellar', 'black', 'holes', 'known', 'so', 'all', 'have', 'masses', 'within', '1', 'sigma', 'of', '10', 'solar', 'masses', 'here', 'we', 'report', 'a', 'mass', 'of', '1565', '145', 'solar', 'masses', 'for', 'the', 'black', 'hole', 'in', 'the', 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710.3166 | Constraining the Type Ia Supernova Progenitor: The Search for Hydrogen
in Nebular Spectra | Despite intense scrutiny, the progenitor system(s) that gives rise to Type Ia
supernovae remains unknown. The favored theory invokes a carbon-oxygen white
dwarf accreting hydrogen-rich material from a close companion until a
thermonuclear runaway ensues that incinerates the white dwarf. However,
simulations resulting from this single-degenerate, binary channel demand the
presence of low-velocity H-alpha emission in spectra taken during the late
nebular phase, since a portion of the companion's envelope becomes entrained in
the ejecta. This hydrogen has never been detected, but has only rarely been
sought. Here we present results from a campaign to obtain deep, nebular-phase
spectroscopy of nearby Type Ia supernovae, and include multi-epoch observations
of two events: SN 2005am (slightly subluminous) and SN 2005cf (normally
bright). No H-alpha emission is detected in the spectra of either object. An
upper limit of 0.01 M_Sun of solar abundance material in the ejecta is
established from the models of Mattila et al. which, when coupled with the
mass-stripping simulations of Marietta et al. and Meng et al. effectively rules
out progenitor systems for these supernovae with secondaries close enough to
the white dwarf to be experiencing Roche lobe overflow at the time of
explosion. Alternative explanations for the absence of H-alpha emission, along
with suggestions for future investigations necessary to confidently exclude
them as possibilities, are critically evaluated.
| astro-ph | despite intense scrutiny the progenitor systems that gives rise to type ia supernovae remains unknown the favored theory invokes a carbonoxygen white dwarf accreting hydrogenrich material from a close companion until a thermonuclear runaway ensues that incinerates the white dwarf however simulations resulting from this singledegenerate binary channel demand the presence of lowvelocity halpha emission in spectra taken during the late nebular phase since a portion of the companions envelope becomes entrained in the ejecta this hydrogen has never been detected but has only rarely been sought here we present results from a campaign to obtain deep nebularphase spectroscopy of nearby type ia supernovae and include multiepoch observations of two events sn 2005am slightly subluminous and sn 2005cf normally bright no halpha emission is detected in the spectra of either object an upper limit of 001 m_sun of solar abundance material in the ejecta is established from the models of mattila et al which when coupled with the massstripping simulations of marietta et al and meng et al effectively rules out progenitor systems for these supernovae with secondaries close enough to the white dwarf to be experiencing roche lobe overflow at the time of explosion alternative explanations for the absence of halpha emission along with suggestions for future investigations necessary to confidently exclude them as possibilities are critically evaluated | [['despite', 'intense', 'scrutiny', 'the', 'progenitor', 'systems', 'that', 'gives', 'rise', 'to', 'type', 'ia', 'supernovae', 'remains', 'unknown', 'the', 'favored', 'theory', 'invokes', 'a', 'carbonoxygen', 'white', 'dwarf', 'accreting', 'hydrogenrich', 'material', 'from', 'a', 'close', 'companion', 'until', 'a', 'thermonuclear', 'runaway', 'ensues', 'that', 'incinerates', 'the', 'white', 'dwarf', 'however', 'simulations', 'resulting', 'from', 'this', 'singledegenerate', 'binary', 'channel', 'demand', 'the', 'presence', 'of', 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710.3167 | Binary Stars and Globular Cluster Dynamics | In this brief proceedings article I summarize the review talk I gave at the
IAU 246 meeting in Capri, Italy, glossing over the well-known results from the
literature, but paying particular attention to new, previously unpublished
material. This new material includes a careful comparison of the apparently
contradictory results of two independent methods used to simulate the evolution
of binary populations in dense stellar systems (the direct N-body method of
Hurley, et al. 2007 and the approximate Monte Carlo method of Ivanova, et al.
2005), that shows that the two methods may not actually yield contradictory
results, and suggests future work to more directly compare the two methods.
| astro-ph | in this brief proceedings article i summarize the review talk i gave at the iau 246 meeting in capri italy glossing over the wellknown results from the literature but paying particular attention to new previously unpublished material this new material includes a careful comparison of the apparently contradictory results of two independent methods used to simulate the evolution of binary populations in dense stellar systems the direct nbody method of hurley et al 2007 and the approximate monte carlo method of ivanova et al 2005 that shows that the two methods may not actually yield contradictory results and suggests future work to more directly compare the two methods | [['in', 'this', 'brief', 'proceedings', 'article', 'i', 'summarize', 'the', 'review', 'talk', 'i', 'gave', 'at', 'the', 'iau', '246', 'meeting', 'in', 'capri', 'italy', 'glossing', 'over', 'the', 'wellknown', 'results', 'from', 'the', 'literature', 'but', 'paying', 'particular', 'attention', 'to', 'new', 'previously', 'unpublished', 'material', 'this', 'new', 'material', 'includes', 'a', 'careful', 'comparison', 'of', 'the', 'apparently', 'contradictory', 'results', 'of', 'two', 'independent', 'methods', 'used', 'to', 'simulate', 'the', 'evolution', 'of', 'binary', 'populations', 'in', 'dense', 'stellar', 'systems', 'the', 'direct', 'nbody', 'method', 'of', 'hurley', 'et', 'al', '2007', 'and', 'the', 'approximate', 'monte', 'carlo', 'method', 'of', 'ivanova', 'et', 'al', '2005', 'that', 'shows', 'that', 'the', 'two', 'methods', 'may', 'not', 'actually', 'yield', 'contradictory', 'results', 'and', 'suggests', 'future', 'work', 'to', 'more', 'directly', 'compare', 'the', 'two', 'methods']] | [-0.025212052938632806, 0.03825326453433067, -0.11851221838504702, 0.03598466020068763, -0.11475323168473824, -0.08739071180521746, 0.053862787008494416, 0.35622942844562444, -0.17621689007365118, -0.37288807964857634, 0.06023901628839531, -0.27729469078166463, -0.16220516725182185, 0.24669730762306985, -0.1342252960219701, 0.016365948433456855, 0.13122299223459352, -0.09168783187100263, -0.08922334788062514, -0.343194019745722, 0.28370249295111083, 0.122571314972277, 0.2462502235773011, 0.021382409872522004, 0.048472037765188755, -0.011145278095010947, -0.16830895139148164, 0.01018712219181601, -0.1963366699652805, 0.10939836562567642, 0.2357219139671075, 0.13710718012514697, 0.2559573359213003, -0.4113039182516459, -0.18920545430558028, 0.04306943874336153, 0.10715142434526008, 0.1543719335241574, -0.05155857562190291, -0.255373976094361, 0.013658942727080467, -0.23953527912158065, -0.10995642813880031, -0.015703279916719298, 0.03130612054743987, 0.029985593661239422, -0.2147562119665895, 0.07830375581642474, 0.0885519537178225, 0.06537266929903737, -0.03930564442101135, -0.22217437232383222, 0.04064255180359583, 0.06949586174167936, 0.027310349516109257, 0.0587410712701695, 0.043945326121680645, -0.05362229690251646, -0.15611556785564137, 0.3465132978266088, -0.019982139455920485, -0.06016674038092388, 0.2607057744900426, -0.11736376896918377, -0.22529903247029842, 0.10664082808576733, 0.1609526952428343, 0.1288049959220758, -0.1900985634093669, 0.0622047293032563, -0.07019249976299285, 0.13629606065653682, 0.036611722238257385, -0.02348621377164376, 0.1829640207307361, 0.11016685835729902, -0.04828886117442907, 0.07466387809645907, -0.06441636847889173, -0.12822701201978723, -0.27617859090439034, -0.132131542370733, -0.16049071981040675, -0.004394823454497774, 0.009295839321838743, -0.12188032116505935, 0.36751362413307215, 0.23573798604992818, 0.1919720975560284, -0.005769396037577051, 0.2544879025875408, 0.011118417542654082, -0.030173308311778807, 0.07807123994402518, 0.2910120064810475, 0.11584316208854178, 0.1560881514848584, -0.1846940734088595, 0.0711484562005047, 0.07309478567695576] |
710.3168 | Supplementary Information for "A 15.65 solar mass black hole in an
eclipsing binary in the nearby spiral galaxy Messier 33" | This Supplementary Information provides details about the spectral extraction
(crowding issues and the removal of nebular lines), a discussion about the
distance to M33, a model for the O-star wind and the measurement of the true
photospheric X-ray eclipse width Theta, and details about ellipsoidal
modelling. It also contains five related figures, one related table, and
additional references.
| astro-ph | this supplementary information provides details about the spectral extraction crowding issues and the removal of nebular lines a discussion about the distance to m33 a model for the ostar wind and the measurement of the true photospheric xray eclipse width theta and details about ellipsoidal modelling it also contains five related figures one related table and additional references | [['this', 'supplementary', 'information', 'provides', 'details', 'about', 'the', 'spectral', 'extraction', 'crowding', 'issues', 'and', 'the', 'removal', 'of', 'nebular', 'lines', 'a', 'discussion', 'about', 'the', 'distance', 'to', 'm33', 'a', 'model', 'for', 'the', 'ostar', 'wind', 'and', 'the', 'measurement', 'of', 'the', 'true', 'photospheric', 'xray', 'eclipse', 'width', 'theta', 'and', 'details', 'about', 'ellipsoidal', 'modelling', 'it', 'also', 'contains', 'five', 'related', 'figures', 'one', 'related', 'table', 'and', 'additional', 'references']] | [-0.09257005697822776, 0.024287595930469127, -0.05862010076063974, 0.1327006141715362, -0.15101044812914113, -0.13986206487230635, 0.07955595980004954, 0.40131314137372476, -0.2278997894248058, -0.3564025140849167, 0.13525445326552565, -0.33487745454727574, -0.07537987128157041, 0.1879240017312033, -0.08232482044218943, -0.012607134589604262, 0.11719632204943176, -0.006222891854122281, -0.07927050233963107, -0.23775754692354079, 0.2675824055672976, 0.10055869213979819, 0.13730148123256092, 0.08289932852193456, 0.051297160459618116, -0.005803544724617025, -0.1595163575036387, -0.055965244336503336, -0.17235014936083864, 0.16850058912652835, 0.16403154452363478, 0.17521410893070802, 0.1787013080581252, -0.2893414568027546, -0.23493565248068551, -0.029144505697206176, 0.12671283174081352, 0.0820992545160497, 0.023394405151364105, -0.25460357687853535, 0.010157380702680555, -0.13972900255486884, -0.1719617861290944, 0.014739119030278304, 0.07608891815621534, 0.007067590758071737, -0.1699698603358762, 0.08460255523948881, 0.10240143764330524, 0.15060218911746454, -0.0938710851498462, -0.1612271084771331, -0.032865026949680055, 0.12151371764725652, 0.04397715094844522, 0.03119027489346677, 0.1903587248385081, -0.13741350393081966, -0.00885655225961116, 0.4049009030749058, 0.012881016017515855, -0.09206750547384908, 0.13624929918522208, -0.10958763926514778, -0.1775278253380434, 0.16092395407934512, 0.08767578066808396, 0.04024353337570511, -0.17194147321826111, -0.0458684313183265, -0.015019848541324508, 0.28455365060603827, 0.12009303410866715, 0.06403719899967185, 0.26977079310293856, 0.07703512807673743, 0.02063949809184876, 0.13565751355129357, -0.20549737874033122, -0.059809628378294795, -0.34663243042626257, -0.09580900528917796, -0.07055444059219083, 0.07187457196815902, -0.1534598936429167, -0.17887491464879812, 0.43010997972130005, 0.18067855693817395, 0.1818720776154178, -0.08788036390063192, 0.3504940419907457, 0.037319622962968424, 0.02974912829311757, 0.09832131291001008, 0.20221168273690573, 0.18570460634434532, 0.1613895283562356, -0.1993452968429132, 0.11753921270177796, 0.020864874831047552] |
710.3169 | New Gamma-Ray Contributions to Supersymmetric Dark Matter Annihilation | We compute the electromagnetic radiative corrections to all leading
annihilation processes which may occur in the Galactic dark matter halo, for
dark matter in the framework of supersymmetric extensions of the Standard Model
(MSSM and mSUGRA), and present the results of scans over the parameter space
that is consistent with present observational bounds on the dark matter density
of the Universe. Although these processes have previously been considered in
some special cases by various authors, our new general analysis shows novel
interesting results with large corrections that may be of importance, e.g., for
searches at the soon to be launched GLAST gamma-ray space telescope. In
particular, it is pointed out that regions of parameter space where there is a
near degeneracy between the dark matter neutralino and the tau sleptons,
radiative corrections may boost the gamma-ray yield by up to three or four
orders of magnitude, even for neutralino masses considerably below the TeV
scale, and will enhance the very characteristic signature of dark matter
annihilations, namely a sharp step at the mass of the dark matter particle.
Since this is a particularly interesting region for more constrained mSUGRA
models of supersymmetry, we use an extensive scan over this parameter space to
verify the significance of our findings. We also re-visit the direct
annihilation of neutralinos into photons and point out that, for a considerable
part of the parameter space, internal bremsstrahlung is more important for
indirect dark matter searches than line signals.
| hep-ph astro-ph | we compute the electromagnetic radiative corrections to all leading annihilation processes which may occur in the galactic dark matter halo for dark matter in the framework of supersymmetric extensions of the standard model mssm and msugra and present the results of scans over the parameter space that is consistent with present observational bounds on the dark matter density of the universe although these processes have previously been considered in some special cases by various authors our new general analysis shows novel interesting results with large corrections that may be of importance eg for searches at the soon to be launched glast gammaray space telescope in particular it is pointed out that regions of parameter space where there is a near degeneracy between the dark matter neutralino and the tau sleptons radiative corrections may boost the gammaray yield by up to three or four orders of magnitude even for neutralino masses considerably below the tev scale and will enhance the very characteristic signature of dark matter annihilations namely a sharp step at the mass of the dark matter particle since this is a particularly interesting region for more constrained msugra models of supersymmetry we use an extensive scan over this parameter space to verify the significance of our findings we also revisit the direct annihilation of neutralinos into photons and point out that for a considerable part of the parameter space internal bremsstrahlung is more important for indirect dark matter searches than line signals | [['we', 'compute', 'the', 'electromagnetic', 'radiative', 'corrections', 'to', 'all', 'leading', 'annihilation', 'processes', 'which', 'may', 'occur', 'in', 'the', 'galactic', 'dark', 'matter', 'halo', 'for', 'dark', 'matter', 'in', 'the', 'framework', 'of', 'supersymmetric', 'extensions', 'of', 'the', 'standard', 'model', 'mssm', 'and', 'msugra', 'and', 'present', 'the', 'results', 'of', 'scans', 'over', 'the', 'parameter', 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-0.0011704635218077112] |
710.317 | Fast Intrinsic Mode Decomposition of Time Series Data with Sawtooth
Transform | An efficient method is introduced in this paper to find the intrinsic mode
function (IMF) components of time series data. This method is faster and more
predictable than the Empirical Mode Decomposition (EMD) method devised by the
author of Hilbert Huang Transform (HHT). The approach is to transforms the
original data function into a piecewise linear sawtooth function (or triangle
wave function), then directly constructs the upper envelope by connecting the
maxima and construct lower envelope by connecting minima with straight line
segments in the sawtooth space, the IMF is calculated as the difference between
the sawtooth function and the mean of the upper and lower envelopes. The
results found in the sawtooth space are reversely transformed into the original
data space as the required IMF and envelopes mean. This decomposition method
process the data in one pass to obtain a unique IMF component without the time
consuming repetitive sifting process of EMD method. An alternative
decomposition method with sawtooth function expansion is also presented.
| cs.NA | an efficient method is introduced in this paper to find the intrinsic mode function imf components of time series data this method is faster and more predictable than the empirical mode decomposition emd method devised by the author of hilbert huang transform hht the approach is to transforms the original data function into a piecewise linear sawtooth function or triangle wave function then directly constructs the upper envelope by connecting the maxima and construct lower envelope by connecting minima with straight line segments in the sawtooth space the imf is calculated as the difference between the sawtooth function and the mean of the upper and lower envelopes the results found in the sawtooth space are reversely transformed into the original data space as the required imf and envelopes mean this decomposition method process the data in one pass to obtain a unique imf component without the time consuming repetitive sifting process of emd method an alternative decomposition method with sawtooth function expansion is also presented | [['an', 'efficient', 'method', 'is', 'introduced', 'in', 'this', 'paper', 'to', 'find', 'the', 'intrinsic', 'mode', 'function', 'imf', 'components', 'of', 'time', 'series', 'data', 'this', 'method', 'is', 'faster', 'and', 'more', 'predictable', 'than', 'the', 'empirical', 'mode', 'decomposition', 'emd', 'method', 'devised', 'by', 'the', 'author', 'of', 'hilbert', 'huang', 'transform', 'hht', 'the', 'approach', 'is', 'to', 'transforms', 'the', 'original', 'data', 'function', 'into', 'a', 'piecewise', 'linear', 'sawtooth', 'function', 'or', 'triangle', 'wave', 'function', 'then', 'directly', 'constructs', 'the', 'upper', 'envelope', 'by', 'connecting', 'the', 'maxima', 'and', 'construct', 'lower', 'envelope', 'by', 'connecting', 'minima', 'with', 'straight', 'line', 'segments', 'in', 'the', 'sawtooth', 'space', 'the', 'imf', 'is', 'calculated', 'as', 'the', 'difference', 'between', 'the', 'sawtooth', 'function', 'and', 'the', 'mean', 'of', 'the', 'upper', 'and', 'lower', 'envelopes', 'the', 'results', 'found', 'in', 'the', 'sawtooth', 'space', 'are', 'reversely', 'transformed', 'into', 'the', 'original', 'data', 'space', 'as', 'the', 'required', 'imf', 'and', 'envelopes', 'mean', 'this', 'decomposition', 'method', 'process', 'the', 'data', 'in', 'one', 'pass', 'to', 'obtain', 'a', 'unique', 'imf', 'component', 'without', 'the', 'time', 'consuming', 'repetitive', 'sifting', 'process', 'of', 'emd', 'method', 'an', 'alternative', 'decomposition', 'method', 'with', 'sawtooth', 'function', 'expansion', 'is', 'also', 'presented']] | [-0.06782132135069167, 0.07191626782066922, -0.14146503173379285, 0.09613706037469621, -0.07952668913781191, -0.08377477725629102, 0.04593028712410931, 0.4019070892735864, -0.2902611336699038, -0.2892065098847855, 0.09731532617253393, -0.22429141350316278, -0.15052740623694705, 0.1983327369671315, -0.019385246757530804, 0.05996590813226772, 0.07488206083688773, -0.02019821146404314, -0.07974451470301684, -0.21914278776949328, 0.27741926124629873, 0.04734071481366162, 0.2805706809472406, -0.05435061152516441, 0.07196374882972151, 0.003784242430419633, -0.044108910034551765, -0.06453155717851283, -0.12116354238806348, 0.11219535742667645, 0.17002764145568522, 0.1564964969501351, 0.26784370912126065, -0.40839017649943177, -0.18279290569551063, 0.09447748008965529, 0.17191032590908986, 0.03306438158633131, -0.0046564584023806015, -0.25654413998126985, 0.03939621272412214, -0.1221267577176067, -0.1373211203058335, -0.03395741272604827, 0.04148708911556186, -0.0010264221176674421, -0.29533849609169094, 0.09426811931665394, 0.06818802671676333, 0.017141093175053936, -0.07484955736012622, -0.11819399966942994, -0.051578392856048816, 0.05637901099892615, 0.05385915086512934, 0.11918665165589615, 0.11141523804910707, -0.05740562369341426, -0.06925436998717487, 0.322290419973433, -0.1060874190619815, -0.2157996853757085, 0.12519315165665112, -0.13284266861861177, -0.07207780149200875, 0.16189963384954767, 0.1473262746423257, 0.09877957023793098, -0.1422421247049263, 0.0504975397672476, -0.017188740809444537, 0.15758788135100268, 0.09238428632361871, -0.03433367732742971, 0.17884991124949673, 0.12532698079929547, 0.1071072914506658, 0.1901354774677505, -0.09723934145700751, -0.07293575426958727, -0.2621715630432873, -0.15992783500502508, -0.20956808168151783, -0.026773323708259727, -0.11989939436272394, -0.21154986000902049, 0.40401220299359974, 0.06852499424677455, 0.2279377628237743, 0.07694882147973686, 0.35322386535082123, 0.20787248552607543, 0.06922700079087393, 0.09260162805122409, 0.18124445102488002, 0.13440404692100305, 0.10382681232171528, -0.1934058598214478, 0.05687692425862858, 0.12714807858062682] |
710.3171 | Dependency and false discovery rate: Asymptotics | Some effort has been undertaken over the last decade to provide conditions
for the control of the false discovery rate by the linear step-up procedure
(LSU) for testing $n$ hypotheses when test statistics are dependent. In this
paper we investigate the expected error rate (EER) and the false discovery rate
(FDR) in some extreme parameter configurations when $n$ tends to infinity for
test statistics being exchangeable under null hypotheses. All results are
derived in terms of $p$-values. In a general setup we present a series of
results concerning the interrelation of Simes' rejection curve and the
(limiting) empirical distribution function of the $p$-values. Main objects
under investigation are largest (limiting) crossing points between these
functions, which play a key role in deriving explicit formulas for EER and FDR.
As specific examples we investigate equi-correlated normal and $t$-variables in
more detail and compute the limiting EER and FDR theoretically and numerically.
A surprising limit behavior occurs if these models tend to independence.
| math.ST stat.TH | some effort has been undertaken over the last decade to provide conditions for the control of the false discovery rate by the linear stepup procedure lsu for testing n hypotheses when test statistics are dependent in this paper we investigate the expected error rate eer and the false discovery rate fdr in some extreme parameter configurations when n tends to infinity for test statistics being exchangeable under null hypotheses all results are derived in terms of pvalues in a general setup we present a series of results concerning the interrelation of simes rejection curve and the limiting empirical distribution function of the pvalues main objects under investigation are largest limiting crossing points between these functions which play a key role in deriving explicit formulas for eer and fdr as specific examples we investigate equicorrelated normal and tvariables in more detail and compute the limiting eer and fdr theoretically and numerically a surprising limit behavior occurs if these models tend to independence | [['some', 'effort', 'has', 'been', 'undertaken', 'over', 'the', 'last', 'decade', 'to', 'provide', 'conditions', 'for', 'the', 'control', 'of', 'the', 'false', 'discovery', 'rate', 'by', 'the', 'linear', 'stepup', 'procedure', 'lsu', 'for', 'testing', 'n', 'hypotheses', 'when', 'test', 'statistics', 'are', 'dependent', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'expected', 'error', 'rate', 'eer', 'and', 'the', 'false', 'discovery', 'rate', 'fdr', 'in', 'some', 'extreme', 'parameter', 'configurations', 'when', 'n', 'tends', 'to', 'infinity', 'for', 'test', 'statistics', 'being', 'exchangeable', 'under', 'null', 'hypotheses', 'all', 'results', 'are', 'derived', 'in', 'terms', 'of', 'pvalues', 'in', 'a', 'general', 'setup', 'we', 'present', 'a', 'series', 'of', 'results', 'concerning', 'the', 'interrelation', 'of', 'simes', 'rejection', 'curve', 'and', 'the', 'limiting', 'empirical', 'distribution', 'function', 'of', 'the', 'pvalues', 'main', 'objects', 'under', 'investigation', 'are', 'largest', 'limiting', 'crossing', 'points', 'between', 'these', 'functions', 'which', 'play', 'a', 'key', 'role', 'in', 'deriving', 'explicit', 'formulas', 'for', 'eer', 'and', 'fdr', 'as', 'specific', 'examples', 'we', 'investigate', 'equicorrelated', 'normal', 'and', 'tvariables', 'in', 'more', 'detail', 'and', 'compute', 'the', 'limiting', 'eer', 'and', 'fdr', 'theoretically', 'and', 'numerically', 'a', 'surprising', 'limit', 'behavior', 'occurs', 'if', 'these', 'models', 'tend', 'to', 'independence']] | [-0.1121333437411522, 0.04982300023257267, -0.08046501604112563, 0.1339562991015555, -0.03092153149918886, -0.15186487330356613, 0.12488329419684305, 0.34903829680988563, -0.18352913843118585, -0.296037473436445, 0.14186971659655684, -0.23357922202558257, -0.1360453815519577, 0.24053456233814358, -0.09530103810784567, 0.09494268324024233, 0.03772534538002219, 0.038281410884701474, -0.05993515696372924, -0.33272933567350266, 0.29511702768795656, 0.09529806215432472, 0.3283735742443241, 0.0006498520575405564, 0.08483583679953881, 0.015111451066331938, -0.0373078486230952, -0.019777872567647136, -0.17383246885729023, 0.08441674157656961, 0.25587008234681435, 0.1409486657314119, 0.3140919599623885, -0.35141293991182465, -0.14776948563521727, 0.15070991782122292, 0.14170875998970586, 0.07804064459123765, -0.039408546271897646, -0.24311585538671351, 0.12083219100532006, -0.13141447725502076, -0.13624185373191722, -0.0854897222481668, 0.036561946081201314, 0.03858811094978591, -0.318795745720854, 0.11504202104406432, 0.07221002243022667, 0.10074874697020278, -0.04137212605455716, -0.13300711721458355, 0.054824908594309815, 0.12301291148905875, 0.155217730847653, -0.046529396102414466, 0.10526677959769586, -0.15143586977937956, -0.10690666168811731, 0.2994554993172642, -0.03953051924763713, -0.20608290846575983, 0.17233762307005235, -0.17365773149795133, -0.1487413685405045, 0.09633237877278589, 0.1803638498997316, 0.13047370616695844, -0.17126024983972457, 0.0836253581514029, -0.0001831903704442084, 0.09399687621116755, 0.1163686675572535, 0.031677613499414295, 0.18639013846986927, 0.12316749439632986, 0.03227793427358847, 0.1486535464064218, -0.10686230506544234, -0.08350440719805192, -0.35814121213625183, -0.17352407643975312, -0.13401006112035246, 0.04844338911370869, -0.10848762238683776, -0.13414880883938168, 0.35829625181504526, 0.16111695802728718, 0.1812442145892419, 0.12055944240491953, 0.22672293537762017, 0.13983363607185312, 0.007710161778959446, 0.05908489018911496, 0.2333700528344707, 0.11883217291615437, -8.414153489866294e-05, -0.16620215302245925, 0.12735650844115298, 0.037211613556428345] |
710.3172 | Model study of the sign problem in a mean-field approximation | We study the sign problem of the fermion determinant at nonzero baryon
chemical potential. For this purpose we apply a simple model derived from
Quantum Chromodynamics, in the limit of large chemical potential and mass. For
SU(2) color, there is no sign problem and the mean-field approximation is
similar to data from the lattice. For SU(3) color the sign problem is
unavoidable, even in a mean-field approximation. We apply a phase-reweighting
method, combined with the mean-field approximation, to estimate thermodynamic
quantities. We also investigate the mean-field free energy using a saddle-point
approximation.
| hep-lat | we study the sign problem of the fermion determinant at nonzero baryon chemical potential for this purpose we apply a simple model derived from quantum chromodynamics in the limit of large chemical potential and mass for su2 color there is no sign problem and the meanfield approximation is similar to data from the lattice for su3 color the sign problem is unavoidable even in a meanfield approximation we apply a phasereweighting method combined with the meanfield approximation to estimate thermodynamic quantities we also investigate the meanfield free energy using a saddlepoint approximation | [['we', 'study', 'the', 'sign', 'problem', 'of', 'the', 'fermion', 'determinant', 'at', 'nonzero', 'baryon', 'chemical', 'potential', 'for', 'this', 'purpose', 'we', 'apply', 'a', 'simple', 'model', 'derived', 'from', 'quantum', 'chromodynamics', 'in', 'the', 'limit', 'of', 'large', 'chemical', 'potential', 'and', 'mass', 'for', 'su2', 'color', 'there', 'is', 'no', 'sign', 'problem', 'and', 'the', 'meanfield', 'approximation', 'is', 'similar', 'to', 'data', 'from', 'the', 'lattice', 'for', 'su3', 'color', 'the', 'sign', 'problem', 'is', 'unavoidable', 'even', 'in', 'a', 'meanfield', 'approximation', 'we', 'apply', 'a', 'phasereweighting', 'method', 'combined', 'with', 'the', 'meanfield', 'approximation', 'to', 'estimate', 'thermodynamic', 'quantities', 'we', 'also', 'investigate', 'the', 'meanfield', 'free', 'energy', 'using', 'a', 'saddlepoint', 'approximation']] | [-0.08909915268178219, 0.10691541115469906, -0.11863190031347229, 0.1549580571489692, -0.02622243897665454, -0.10229571330685007, 0.11998560853332849, 0.3527875551144066, -0.24279164012683474, -0.2660770077035641, 0.042453892334141645, -0.28303622332927975, -0.13024958142183174, 0.08945010248925941, 0.006977360073031615, 0.06809305659819233, 0.03142444919238029, 0.058666899582654565, -0.1118789437839397, -0.19404226108251707, 0.32558991776718554, -0.02868524916424497, 0.2505406282801667, 0.10926290483431607, 0.07920816034691044, 0.036597898829748614, 0.03227120986127335, 0.04594467167297135, -0.14630757403590353, 0.03854990980977638, 0.19629834227658727, 0.025462829305425934, 0.22230960426183985, -0.3994530691846233, -0.20934948646564686, 0.15604369850505306, 0.11806730579827791, 0.23671898719571208, -0.10438245407852303, -0.2144284802691444, 0.08361639690322234, -0.18996834028107318, -0.20658675746222877, -0.10034983703340201, -0.0381714367085015, -0.03402075796823382, -0.30716619536321127, 0.12677185007582328, -0.017583970456262647, 0.06610938928940374, -0.09190656448228528, -0.1634982965339947, 0.028159628576680047, 0.10453096240171758, 0.03314552236596406, 0.06768671676020502, 0.06711963745487004, -0.16431388179720988, -0.08256929105593135, 0.43572784016799665, -0.10798485203565139, -0.19360226032364627, 0.14623138169079777, -0.11925189561747096, -0.14891399616760242, 0.09241288439775615, 0.13964378085675772, 0.11141829282227579, -0.1847568954968744, 0.16409313008467585, -0.041737480950794874, 0.1446576265861159, 0.009114293462556341, -0.03409866942219315, 0.16620959685710462, 0.15927648008801043, 0.06254726226704763, 0.12855835335896068, -0.06344521643958338, -0.18379333593538436, -0.30324783614512696, -0.07792390379599175, -0.22415319144847276, 0.07549256831407547, -0.12477482137056421, -0.1781415047387228, 0.37987103507570597, 0.20389684122663154, 0.16556024696151522, 0.044484881127415145, 0.29999998165547603, 0.1930636222646369, 0.04692428918940056, 0.043047817474555064, 0.22555438638664782, 0.18801631354828083, 0.08039382750006474, -0.3084732177262397, -0.024140525396670335, 0.14938989538780373] |
710.3173 | Noise auto-correlation spectroscopy with coherent Raman scattering | Ultrafast lasers have become one of the most powerful tools in coherent
nonlinear optical spectroscopy. Short pulses enable direct observation of fast
molecular dynamics, whereas broad spectral bandwidth offers ways of controlling
nonlinear optical processes by means of quantum interferences. Special care is
usually taken to preserve the coherence of laser pulses as it determines the
accuracy of a spectroscopic measurement. Here we present a new approach to
coherent Raman spectroscopy based on deliberately introduced noise, which
increases the spectral resolution, robustness and efficiency. We probe laser
induced molecular vibrations using a broadband laser pulse with intentionally
randomized amplitude and phase. The vibrational resonances result in and are
identified through the appearance of intensity correlations in the noisy
spectrum of coherently scattered photons. Spectral resolution is neither
limited by the pulse bandwidth, nor sensitive to the quality of the temporal
and spectral profile of the pulses. This is particularly attractive for the
applications in microscopy, biological imaging and remote sensing, where
dispersion and scattering properties of the medium often undermine the
applicability of ultrafast lasers. The proposed method combines the efficiency
and resolution of a coherent process with the robustness of incoherent light.
As we demonstrate here, it can be implemented by simply destroying the
coherence of a laser pulse, and without any elaborate temporal scanning or
spectral shaping commonly required by the frequency-resolved spectroscopic
methods with ultrashort pulses.
| physics.chem-ph | ultrafast lasers have become one of the most powerful tools in coherent nonlinear optical spectroscopy short pulses enable direct observation of fast molecular dynamics whereas broad spectral bandwidth offers ways of controlling nonlinear optical processes by means of quantum interferences special care is usually taken to preserve the coherence of laser pulses as it determines the accuracy of a spectroscopic measurement here we present a new approach to coherent raman spectroscopy based on deliberately introduced noise which increases the spectral resolution robustness and efficiency we probe laser induced molecular vibrations using a broadband laser pulse with intentionally randomized amplitude and phase the vibrational resonances result in and are identified through the appearance of intensity correlations in the noisy spectrum of coherently scattered photons spectral resolution is neither limited by the pulse bandwidth nor sensitive to the quality of the temporal and spectral profile of the pulses this is particularly attractive for the applications in microscopy biological imaging and remote sensing where dispersion and scattering properties of the medium often undermine the applicability of ultrafast lasers the proposed method combines the efficiency and resolution of a coherent process with the robustness of incoherent light as we demonstrate here it can be implemented by simply destroying the coherence of a laser pulse and without any elaborate temporal scanning or spectral shaping commonly required by the frequencyresolved spectroscopic methods with ultrashort pulses | [['ultrafast', 'lasers', 'have', 'become', 'one', 'of', 'the', 'most', 'powerful', 'tools', 'in', 'coherent', 'nonlinear', 'optical', 'spectroscopy', 'short', 'pulses', 'enable', 'direct', 'observation', 'of', 'fast', 'molecular', 'dynamics', 'whereas', 'broad', 'spectral', 'bandwidth', 'offers', 'ways', 'of', 'controlling', 'nonlinear', 'optical', 'processes', 'by', 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'quality', 'of', 'the', 'temporal', 'and', 'spectral', 'profile', 'of', 'the', 'pulses', 'this', 'is', 'particularly', 'attractive', 'for', 'the', 'applications', 'in', 'microscopy', 'biological', 'imaging', 'and', 'remote', 'sensing', 'where', 'dispersion', 'and', 'scattering', 'properties', 'of', 'the', 'medium', 'often', 'undermine', 'the', 'applicability', 'of', 'ultrafast', 'lasers', 'the', 'proposed', 'method', 'combines', 'the', 'efficiency', 'and', 'resolution', 'of', 'a', 'coherent', 'process', 'with', 'the', 'robustness', 'of', 'incoherent', 'light', 'as', 'we', 'demonstrate', 'here', 'it', 'can', 'be', 'implemented', 'by', 'simply', 'destroying', 'the', 'coherence', 'of', 'a', 'laser', 'pulse', 'and', 'without', 'any', 'elaborate', 'temporal', 'scanning', 'or', 'spectral', 'shaping', 'commonly', 'required', 'by', 'the', 'frequencyresolved', 'spectroscopic', 'methods', 'with', 'ultrashort', 'pulses']] | [-0.097735037254073, 0.15398049184353005, -0.09600924132086038, 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0.11095196373890841, -0.28779315559893, 0.022605418884419068, -0.03695374902939692] |
710.3174 | Rigidity of gradient Ricci Solitons | We define a gradient Ricci soliton to be rigid if it is a flat bundle $%
N\times_{\Gamma}\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all
gradient solitons are rigid. Here we offer several natural conditions on the
curvature that characterize rigid gradient solitons. Other related results on
rigidity of Ricci solitons are also explained in the last section.
| math.DG | we define a gradient ricci soliton to be rigid if it is a flat bundle ntimes_gammamathbbrk where n is einstein it is known that not all gradient solitons are rigid here we offer several natural conditions on the curvature that characterize rigid gradient solitons other related results on rigidity of ricci solitons are also explained in the last section | [['we', 'define', 'a', 'gradient', 'ricci', 'soliton', 'to', 'be', 'rigid', 'if', 'it', 'is', 'a', 'flat', 'bundle', 'ntimes_gammamathbbrk', 'where', 'n', 'is', 'einstein', 'it', 'is', 'known', 'that', 'not', 'all', 'gradient', 'solitons', 'are', 'rigid', 'here', 'we', 'offer', 'several', 'natural', 'conditions', 'on', 'the', 'curvature', 'that', 'characterize', 'rigid', 'gradient', 'solitons', 'other', 'related', 'results', 'on', 'rigidity', 'of', 'ricci', 'solitons', 'are', 'also', 'explained', 'in', 'the', 'last', 'section']] | [-0.1899733293223484, 0.14233135879200337, -0.11827351371275968, 0.08677978514781992, -0.15229023576730155, -0.19725749277156487, -0.142026475823388, 0.48498383941578455, -0.26562339549177677, -0.15730200692457308, 0.15296720701133318, -0.24473592879828707, -0.19074958078322354, 0.18225312563349846, -0.11991339066900827, -0.02751076484805551, 0.03833092582123033, 0.11939703885080485, -0.011068543122182119, -0.28757638624941545, 0.3738397117704153, -0.047218659234329545, 0.23322300889914663, 0.12808560816057282, 0.09072575692472787, -0.10782314947774184, 0.07878554695896034, 0.07335760526294852, -0.2183445602073836, 0.0817053906523205, 0.20167801786085654, 0.062221836651964436, 0.19104764114358816, -0.41058490499211797, -0.24838899371439013, 0.15926314635274547, 0.13143597138595992, 0.12107797827700088, -0.050321474498748006, -0.2574990991310313, 0.12421714767195477, -0.09324082044948792, -0.14898745815775455, -0.1058482820698028, 0.04105184772373017, 0.07457676426314845, -0.13323445993893104, 0.09067053392334792, 0.10369607867223435, -0.009063974970245156, -0.10020767419663226, -0.05249767361915317, -0.08773334386983309, 0.02744222128892253, 0.07630229057695974, 0.030684606236373556, 0.15148831040855368, -0.09076436952254253, -0.05456210765987635, 0.3817598619980031, -0.16713782671260938, -0.2936390387938069, 0.15129624695340493, -0.062329127372981144, -0.09788272618155541, 0.10668719596839671, 0.1435173684570553, 0.21147231736364935, -0.0850115336622272, 0.09183590418402234, -0.11021560053180518, 0.12156338215773475, 0.14733448226390214, -0.02211232231287607, 0.16988371592015028, 0.12681079488889924, 0.18337838958691935, 0.08367933409894689, 0.0013051489448367521, -0.12619849558566407, -0.36916313212814517, -0.19359264909771495, -0.1752424456203228, 0.09234418422972246, -0.0895033026884856, -0.14400309131577096, 0.35675224665038546, 0.025320840806796634, 0.23647407907992601, 0.08666652625683567, 0.27721727226363047, 0.0587698255087538, 0.07668662174396089, 0.12250089824424479, 0.33098909380074976, 0.19586147817558255, 0.07735627621476507, -0.1262686676426052, -0.06682828764816554, 0.10371606876463468] |
710.3175 | Filling real hypersurfaces by pseudoholomorphic discs | We study pseudoholomorphic discs with boundaries attached to a real
hypersurface in an almost complex manifold. We give sufficient conditions for
filling a one sided neighborhood of the hypersurface by the discs.
| math.CV math.AP | we study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold we give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs | [['we', 'study', 'pseudoholomorphic', 'discs', 'with', 'boundaries', 'attached', 'to', 'a', 'real', 'hypersurface', 'in', 'an', 'almost', 'complex', 'manifold', 'we', 'give', 'sufficient', 'conditions', 'for', 'filling', 'a', 'one', 'sided', 'neighborhood', 'of', 'the', 'hypersurface', 'by', 'the', 'discs']] | [-0.2387653975165449, 0.0014320386585495726, -0.08036412240471691, 0.07031861558789387, -0.058700704474176746, -0.12566923882695846, -0.0402749451022828, 0.36609551357105374, -0.21107234538067132, -0.2069842328201048, 0.13331031212510425, -0.2240972324507311, -0.16381418710807338, 0.17315616086125374, -0.15563085141184274, 0.0029183673323132098, 0.10788746507023461, 0.02621629915665835, -0.05151193749043159, -0.3285390441888012, 0.5014632428064942, -0.033337850763928145, 0.1029852693900466, 0.014801824116148055, 0.11098696327098878, -0.03118941464344971, 0.08468335163342999, 0.011287462140899152, -0.2872779120807536, 0.09594179905252531, 0.2350619087810628, 0.04174071364104748, 0.20056895224843174, -0.4629697837954154, -0.1456761924928287, 0.1736840886005666, 0.1315828124206746, -0.00425595510751009, -0.017501372029073536, -0.26319419615902007, 0.1105857174115954, -0.036551140365190804, -0.2752297344413819, -0.047053125372258364, 0.012009030702756718, -0.054844663602125365, -0.2006400085228961, 2.5465735234320164e-05, 0.10010073793819174, 0.14062405831646174, -0.12660924761439674, -0.021812095103086904, -0.07086708722636104, 0.09349734958959743, -0.04945653059985489, 0.04113705528288847, 0.14515145853511058, -0.11661484866635874, -0.06583031530317385, 0.3337859255261719, -0.08069473222712986, -0.29199870547745377, 0.2127694075461477, -0.22771258508146275, -0.08984870365384268, 0.16926295903977007, 0.16592275036964566, 0.17492147046141326, -0.08938573696650565, 0.11578870081939385, -0.08328038960462436, 0.0920353428227827, 0.12963186806882732, -0.09994176466716453, 0.23419792525237426, 0.12556815997231752, 0.17561173113062978, 0.18825148021278437, -0.058357448782771826, -0.0732057741843164, -0.3738314437214285, -0.2844437574822223, -0.1270570691267494, 0.14857565599959344, -0.12743878972833045, -0.2523234384134412, 0.3551565840607509, -0.02780263268505223, 0.3396744536003098, 0.049458988883998245, 0.27068525936920196, 0.030896973117705784, 0.041918006434571, 0.10837480233749375, 0.1261623966274783, 0.151618049138051, 0.04449340439168736, -0.09079645213205367, -0.028732091639540158, 0.09901241790794302] |
710.3176 | Local Normal Mode Coupling and Energy Band Splitting in Elliptically
Birefringent 1D Magnetophotonic Crystals | An analysis is presented of wave-vector dispersion in elliptically
birefringent stratified magneto-optic media having one-dimensional periodicity.
It is found that local normal-mode polarization-state differences between
adjacent layers lead to mode coupling and impact the wave-vector dispersion and
the character of the Bloch states of the system. This coupling produces extra
terms in the dispersion relation not present in uniform circularly birefringent
magneto-optic stratified media. Normal mode coupling lifts the degeneracy at
frequency band cross-over points under certain conditions and induces a
magnetization-dependent optical band gap. This study examines the conditions
for band gap formation in the system. It shows that such a frequency-split can
be characterized by a simple coupling parameter that depends on the relation
between polarization states of local normal modes in adjacent layers. The
character of the Bloch states and conditions for maximizing the strength of the
band splitting in these systems are analyzed.
| physics.optics | an analysis is presented of wavevector dispersion in elliptically birefringent stratified magnetooptic media having onedimensional periodicity it is found that local normalmode polarizationstate differences between adjacent layers lead to mode coupling and impact the wavevector dispersion and the character of the bloch states of the system this coupling produces extra terms in the dispersion relation not present in uniform circularly birefringent magnetooptic stratified media normal mode coupling lifts the degeneracy at frequency band crossover points under certain conditions and induces a magnetizationdependent optical band gap this study examines the conditions for band gap formation in the system it shows that such a frequencysplit can be characterized by a simple coupling parameter that depends on the relation between polarization states of local normal modes in adjacent layers the character of the bloch states and conditions for maximizing the strength of the band splitting in these systems are analyzed | [['an', 'analysis', 'is', 'presented', 'of', 'wavevector', 'dispersion', 'in', 'elliptically', 'birefringent', 'stratified', 'magnetooptic', 'media', 'having', 'onedimensional', 'periodicity', 'it', 'is', 'found', 'that', 'local', 'normalmode', 'polarizationstate', 'differences', 'between', 'adjacent', 'layers', 'lead', 'to', 'mode', 'coupling', 'and', 'impact', 'the', 'wavevector', 'dispersion', 'and', 'the', 'character', 'of', 'the', 'bloch', 'states', 'of', 'the', 'system', 'this', 'coupling', 'produces', 'extra', 'terms', 'in', 'the', 'dispersion', 'relation', 'not', 'present', 'in', 'uniform', 'circularly', 'birefringent', 'magnetooptic', 'stratified', 'media', 'normal', 'mode', 'coupling', 'lifts', 'the', 'degeneracy', 'at', 'frequency', 'band', 'crossover', 'points', 'under', 'certain', 'conditions', 'and', 'induces', 'a', 'magnetizationdependent', 'optical', 'band', 'gap', 'this', 'study', 'examines', 'the', 'conditions', 'for', 'band', 'gap', 'formation', 'in', 'the', 'system', 'it', 'shows', 'that', 'such', 'a', 'frequencysplit', 'can', 'be', 'characterized', 'by', 'a', 'simple', 'coupling', 'parameter', 'that', 'depends', 'on', 'the', 'relation', 'between', 'polarization', 'states', 'of', 'local', 'normal', 'modes', 'in', 'adjacent', 'layers', 'the', 'character', 'of', 'the', 'bloch', 'states', 'and', 'conditions', 'for', 'maximizing', 'the', 'strength', 'of', 'the', 'band', 'splitting', 'in', 'these', 'systems', 'are', 'analyzed']] | [-0.2448257461241255, 0.18217149685539244, -0.05648313316337968, 0.02188154318679303, -0.07230029752229225, -0.1117198505623853, 0.06686731757698199, 0.42935638726778225, -0.30413632745510094, -0.2535973292574516, 0.006890779356344616, -0.2513961028180098, -0.15007386355954286, 0.1649800383115876, 0.03785521957755395, -0.025067461256658635, 0.02459083313173423, -0.05177312619563141, -0.06599601194077516, -0.13808950101589937, 0.36120513858503267, -4.753792396912428e-05, 0.37442601230378225, 0.04496195742004066, 0.04580793596009966, 0.02044212459331404, 0.07044743239235338, -0.0024593156915515254, -0.11932213369940131, 0.05563070103310827, 0.22302746958392736, -0.05559912528396163, 0.21313962458943062, -0.4086126327476375, -0.19574909430788193, 0.036144031428617156, 0.1159214665299945, 0.10053600666396213, -0.02621962810780419, -0.2749800264726916, 0.015125690104618464, -0.1195914837131468, -0.13710577002318244, -0.04464970508666888, 0.00650946246555764, -0.003653534383462002, -0.26171406201240033, 0.11348547931275751, 0.08134899379315544, 0.08981205671324, -0.06713459247799769, -0.0567947951199691, -0.11211247969903562, 0.08698521770077618, 0.043307989852483804, -0.02184961665874628, 0.08140451637254581, -0.12143088295443417, -0.044638650233487356, 0.37941727058783375, -0.09949945964314656, -0.1923705556729732, 0.18433091785656672, -0.1706009269022217, -0.0030601766081654455, 0.13580318979204517, 0.14626831304256435, 0.06330598867338866, -0.07682620708380941, 0.0807663621109821, -0.0446948654956044, 0.20989095892144002, 0.12097482999136085, 0.09601427466059996, 0.24428083998316977, 0.12158828995777421, 0.07472024934983507, 0.1303895966952016, -0.09710631664038623, -0.04464528311605323, -0.2688758809578745, -0.14149201522925742, -0.18776140688904178, 0.005807655904229175, -0.07145331903920535, -0.18969657680032495, 0.4534940475738314, 0.07430788663802795, 0.17498068012654372, -0.02468689433649846, 0.23302669121488317, 0.17050510382101144, 0.06095447895844301, 0.05342250142233727, 0.341104723219696, 0.16741386341243625, 0.054625909971647374, -0.2790827124303028, 0.028137206316810763, 0.012954174070491467] |
710.3177 | On Monotonic Strengthening of Newman-like Phenomenon on (2m+1)-multiples
in Base 2m | We obtain exact and asymptotic expressions for the excess of nonnegative
(2m+1)-multiples less than (2m)^k with even digit sums in the base 2m.
| math.NT | we obtain exact and asymptotic expressions for the excess of nonnegative 2m1multiples less than 2mk with even digit sums in the base 2m | [['we', 'obtain', 'exact', 'and', 'asymptotic', 'expressions', 'for', 'the', 'excess', 'of', 'nonnegative', '2m1multiples', 'less', 'than', '2mk', 'with', 'even', 'digit', 'sums', 'in', 'the', 'base', '2m']] | [-0.1608990736475045, 0.04322643751617183, -0.0453564351932569, 0.1104151653972539, -0.02876086202873425, -0.17394930551844565, 0.07891022244637663, 0.32559776915745303, -0.11704683617096055, -0.27209322146055376, 0.16263922091721641, -0.3689954446798021, -0.09851206737485799, 0.19778088632632385, -0.008047408508983526, 0.009660175070166588, 0.053136309926313435, 0.15895761202343486, -0.13737779230260375, -0.2563142673197118, 0.24675283551385457, -0.016940796239809555, 0.1809164114635099, 0.008304502180015499, 0.11530069401487708, 0.01596734029325572, -0.03215607835657217, -0.05454832764173096, -0.12083680455742235, 0.13365932718046347, 0.23803355163809928, 0.08516258619387042, 0.18248334002088418, -0.41862939022989437, -0.08613247360864823, 0.20801730720664968, 0.2266091084615751, 0.056266953935846686, 0.043193789791654454, -0.20205487564883448, 0.22123405913060362, -0.19739071254364468, -0.12960044904188675, -0.08271103813736276, 0.05751697261902419, 0.04141621613367037, -0.3594210357828574, 0.09494563327594237, 0.06327799601819027, 0.1386158762245693, -0.08871659488332542, -0.27519498782401736, 0.07402456759221175, 0.11228502321649682, 0.08836882582611659, -0.031112070523456416, -0.025711045409976083, -0.12878510482947936, -0.034661955877461216, 0.3258087995716117, -0.10781715134891617, -0.24126252210275692, 0.0983721139756116, -0.2852013161913915, -0.09522664140571248, 0.17485973840071398, 0.09796529047360475, 0.19214442050592465, -0.055558907757089895, 0.06263953298912384, -0.04848741138861938, 0.13741476732221516, 0.2022314777343788, 0.07479982133108107, 0.1302785656668923, 0.04187784822319041, 0.08623878149823709, 0.2006695450876247, -0.08790897715582767, -0.051180565560405906, -0.30431879705495457, -0.14844655293696138, -0.20634018219160763, 0.11599172330038114, -0.22116387830134376, -0.1722468672193248, 0.2973153777420521, 0.06225065696476535, 0.1766783564605496, 0.24813201604411006, 0.2793231091716073, 0.1455589203502644, 0.04033246069130572, 0.11677347017790783, 0.13761761479757048, 0.10790055541490967, 0.04826806206256151, -0.12830333900637925, 0.05921213881281966, 0.09359649887350811] |
710.3178 | Modeling Context, Collaboration, and Civilization in End-User
Informatics | End-user informatics applications are Internet data web management automation
solutions. These are mass modeling and mass management collaborative communal
consensus solutions. They are made and maintained by managerial, professional,
technical and specialist end-users. In end-user informatics the end-users are
always right. So it becomes necessary for information technology professionals
to understand information and informatics from the end-user perspective.
End-user informatics starts with the observation that practical prose is a mass
consensus communal modeling technology. This high technology is the mechanistic
modeling medium we all use every day in all of our practical pursuits.
Practical information flows are the lifeblood of modern capitalist communities.
But what exactly is practical information? It's ultimately physical
information, but the physics is highly emergent rather than elementary. So
practical reality is just physical reality in deep disguise. Practical prose is
the medium that we all use to model the everyday and elite mechanics of
practical reality. So this is the medium that end-user informatics must
automate and animate.
| cs.OH | enduser informatics applications are internet data web management automation solutions these are mass modeling and mass management collaborative communal consensus solutions they are made and maintained by managerial professional technical and specialist endusers in enduser informatics the endusers are always right so it becomes necessary for information technology professionals to understand information and informatics from the enduser perspective enduser informatics starts with the observation that practical prose is a mass consensus communal modeling technology this high technology is the mechanistic modeling medium we all use every day in all of our practical pursuits practical information flows are the lifeblood of modern capitalist communities but what exactly is practical information its ultimately physical information but the physics is highly emergent rather than elementary so practical reality is just physical reality in deep disguise practical prose is the medium that we all use to model the everyday and elite mechanics of practical reality so this is the medium that enduser informatics must automate and animate | [['enduser', 'informatics', 'applications', 'are', 'internet', 'data', 'web', 'management', 'automation', 'solutions', 'these', 'are', 'mass', 'modeling', 'and', 'mass', 'management', 'collaborative', 'communal', 'consensus', 'solutions', 'they', 'are', 'made', 'and', 'maintained', 'by', 'managerial', 'professional', 'technical', 'and', 'specialist', 'endusers', 'in', 'enduser', 'informatics', 'the', 'endusers', 'are', 'always', 'right', 'so', 'it', 'becomes', 'necessary', 'for', 'information', 'technology', 'professionals', 'to', 'understand', 'information', 'and', 'informatics', 'from', 'the', 'enduser', 'perspective', 'enduser', 'informatics', 'starts', 'with', 'the', 'observation', 'that', 'practical', 'prose', 'is', 'a', 'mass', 'consensus', 'communal', 'modeling', 'technology', 'this', 'high', 'technology', 'is', 'the', 'mechanistic', 'modeling', 'medium', 'we', 'all', 'use', 'every', 'day', 'in', 'all', 'of', 'our', 'practical', 'pursuits', 'practical', 'information', 'flows', 'are', 'the', 'lifeblood', 'of', 'modern', 'capitalist', 'communities', 'but', 'what', 'exactly', 'is', 'practical', 'information', 'its', 'ultimately', 'physical', 'information', 'but', 'the', 'physics', 'is', 'highly', 'emergent', 'rather', 'than', 'elementary', 'so', 'practical', 'reality', 'is', 'just', 'physical', 'reality', 'in', 'deep', 'disguise', 'practical', 'prose', 'is', 'the', 'medium', 'that', 'we', 'all', 'use', 'to', 'model', 'the', 'everyday', 'and', 'elite', 'mechanics', 'of', 'practical', 'reality', 'so', 'this', 'is', 'the', 'medium', 'that', 'enduser', 'informatics', 'must', 'automate', 'and', 'animate']] | [-0.09416815266155987, 0.07842511462156256, -0.0763850978009997, 0.10158204078242937, -0.20244337704341195, -0.1999841233279929, 0.04009156147349466, 0.4178185372276266, -0.27221513987501705, -0.3284065171939098, 0.15220233165170494, -0.32051209151242044, -0.18092555731022159, 0.1758909376546672, -0.1603046418710446, 0.03450723173506729, 0.07805616587994654, 0.03631648306800567, 0.020345981293529318, -0.2548702314633168, 0.2487518232868573, 0.05340919500638937, 0.35884908180643854, 0.10520010831997233, 0.04464818023847262, -0.020158421581731024, -0.03932670537833027, -0.06378522077346781, -0.06873990826524239, 0.146149114379945, 0.4144474407486572, 0.26913320946155767, 0.40507612713938296, -0.45174393925349443, -0.19865967083916616, 0.04013755348042522, 0.13669342483948071, 0.09803065131389839, -0.07325576551964198, -0.3001262715966241, 0.04661100931634178, -0.20226947413300353, -0.11198923097169199, -0.08422843681896917, 0.014673925530553961, -0.015529857488117678, -0.20883876774917168, -0.022915886825041993, -0.007126325518578474, 0.12282984603504919, -0.011670208133991373, -0.09208720031714329, -0.0391110531182994, 0.22186340920432854, 0.02252394698654513, -0.005336689414239369, 0.23632884569190432, -0.20420658496705577, -0.10115311967753206, 0.4368878562243347, 0.12040844770993657, -0.15670620342552308, 0.19788308014401856, -0.06251770041403046, -0.15879642871991256, 0.07356644700641281, 0.17077377716504663, 0.03593313882835895, -0.23748986646061637, 0.058838793426534974, 0.0017548680299767322, 0.17397235741873093, 0.008124423244728084, 0.057468262438210974, 0.23635899609217614, 0.22753756901569253, 0.04594162282422528, 0.006022948054653918, 0.07121876767762234, -0.14306807188328607, -0.22603727532322146, -0.17589892806846683, -0.16395138824955657, 0.05430614103377794, -0.08614010247205486, -0.13401155681863564, 0.3154778213588738, 0.2609432514834052, 0.02841095812387174, 0.002224085838219688, 0.3884239489544023, 0.031760680364256305, 0.07945414917383549, 0.10837860793115263, 0.2022168985567987, 0.01657217397765925, 0.26261014565311236, -0.0712641389544859, 0.13568409975115325, -0.05511573341280862] |
710.3179 | Spectral weight transfer in a disorder-broadened Landau level | In the absence of disorder, the degeneracy of a Landau level (LL) is
$N=BA/\phi_0$, where $B$ is the magnetic field, $A$ is the area of the sample
and $\phi_0=h/e$ is the magnetic flux quantum. With disorder, localized states
appear at the top and bottom of the broadened LL, while states in the center of
the LL (the critical region) remain delocalized. This well-known phenomenology
is sufficient to explain most aspects of the Integer Quantum Hall Effect (IQHE)
[1]. One unnoticed issue is where the new states appear as the magnetic field
is increased. Here we demonstrate that they appear predominantly inside the
critical region. This leads to a certain ``spectral ordering'' of the localized
states that explains the stripes observed in measurements of the local inverse
compressibility [2-3], of two-terminal conductance [4], and of Hall and
longitudinal resistances [5] without invoking interactions as done in previous
work [6-8].
| cond-mat.dis-nn | in the absence of disorder the degeneracy of a landau level ll is nbaphi_0 where b is the magnetic field a is the area of the sample and phi_0he is the magnetic flux quantum with disorder localized states appear at the top and bottom of the broadened ll while states in the center of the ll the critical region remain delocalized this wellknown phenomenology is sufficient to explain most aspects of the integer quantum hall effect iqhe 1 one unnoticed issue is where the new states appear as the magnetic field is increased here we demonstrate that they appear predominantly inside the critical region this leads to a certain spectral ordering of the localized states that explains the stripes observed in measurements of the local inverse compressibility 23 of twoterminal conductance 4 and of hall and longitudinal resistances 5 without invoking interactions as done in previous work 68 | [['in', 'the', 'absence', 'of', 'disorder', 'the', 'degeneracy', 'of', 'a', 'landau', 'level', 'll', 'is', 'nbaphi_0', 'where', 'b', 'is', 'the', 'magnetic', 'field', 'a', 'is', 'the', 'area', 'of', 'the', 'sample', 'and', 'phi_0he', 'is', 'the', 'magnetic', 'flux', 'quantum', 'with', 'disorder', 'localized', 'states', 'appear', 'at', 'the', 'top', 'and', 'bottom', 'of', 'the', 'broadened', 'll', 'while', 'states', 'in', 'the', 'center', 'of', 'the', 'll', 'the', 'critical', 'region', 'remain', 'delocalized', 'this', 'wellknown', 'phenomenology', 'is', 'sufficient', 'to', 'explain', 'most', 'aspects', 'of', 'the', 'integer', 'quantum', 'hall', 'effect', 'iqhe', '1', 'one', 'unnoticed', 'issue', 'is', 'where', 'the', 'new', 'states', 'appear', 'as', 'the', 'magnetic', 'field', 'is', 'increased', 'here', 'we', 'demonstrate', 'that', 'they', 'appear', 'predominantly', 'inside', 'the', 'critical', 'region', 'this', 'leads', 'to', 'a', 'certain', 'spectral', 'ordering', 'of', 'the', 'localized', 'states', 'that', 'explains', 'the', 'stripes', 'observed', 'in', 'measurements', 'of', 'the', 'local', 'inverse', 'compressibility', '23', 'of', 'twoterminal', 'conductance', '4', 'and', 'of', 'hall', 'and', 'longitudinal', 'resistances', '5', 'without', 'invoking', 'interactions', 'as', 'done', 'in', 'previous', 'work', '68']] | [-0.1893577352863084, 0.23312877879484373, -0.03338087068080307, 0.07006219783433568, -0.0021772048512131584, -0.13705343348892773, 0.06267207192627675, 0.28840729506721174, -0.2543369560291813, -0.31500745263128055, 0.04658329326558073, -0.29080974061650283, -0.11210878915945385, 0.13467023305145098, -0.005564593431638034, 0.0018028160470037334, -0.019938530280020367, 0.02941915410615149, -0.04028097332097261, -0.20099362520798789, 0.3204810959698797, 0.020931403391810807, 0.28505193971360393, 0.10819774343423089, 0.009351349743019764, -0.016938898240399805, 0.0585828425163137, 0.05638025734624287, -0.0898195312008599, 0.0335643937871443, 0.22815581115887684, -0.039724793164756425, 0.24964163299067085, -0.41373154221926806, -0.1640224057316248, 0.03800774495858623, 0.17015473197410708, 0.1306616588239083, -0.008213613588176034, -0.26269019158481033, 0.0897376111702246, -0.10345161943316307, -0.14184076485357114, -0.006690718214578775, 0.014073374597229012, -0.06981424362989472, -0.2372212914724638, 0.15053624872333643, 0.09677806863130457, 0.08165456730948419, -0.05143313387212451, -0.1339592534326473, -0.04755554302931339, 0.10164475136873674, 0.043026822215250254, 0.050010107709870986, 0.1647560881279713, -0.1869839132085544, -0.12110307666973598, 0.3401717788470136, -0.034261089831996126, -0.12971833052563475, 0.17615225886115107, -0.23504774871149234, -0.10745574868455225, 0.1532058099690242, 0.09950597624161414, 0.07945852640534745, -0.07120413635303044, 0.11500759045973573, -0.032859307624317304, 0.14188904013345335, 0.02527193916917202, 0.06722235912219526, 0.23905074700941237, 0.14814300989719476, 0.0509064679990719, 0.1350098910779521, -0.17506363109184975, -0.06813283403385051, -0.3058164675686775, -0.1579094137838047, -0.2022127951970514, 0.08032194454995852, -0.02881388196073865, -0.18346545271271344, 0.4286240642941018, 0.14405141120680906, 0.23927506684724772, -0.028762107216087834, 0.236267570399863, 0.15905577075061053, 0.07398118921215044, 0.06785297174906345, 0.275795196328743, 0.1623750127864634, 0.11299585671556898, -0.26568240023591894, 0.04299571219915651, -0.009744485023314273] |
710.318 | The remarkable properties of the symbiotic star AE Circinus | We present new optical spectroscopy and photometry, 2MASS infrared
observations and 24 years of combined AAVSO and AFOEV photometry of the
symbiotic star candidate \ae. The long-term light curve is characterized by
outbursts lasting several years and having a slow decline of $\sim 2 \times
10^{-4}$ mag/day. The whole range of variability of the star in the $V$ band is
about 4 magnitudes. The periodogram of the photometric data reveals strong
signals at $\sim$ 342 and 171 days. The presence of the emission feature at
$\lambda$ 6830 \AA at minimum and the detection of absorption lines of a $\sim$
K5 type star confirm the symbiotic classification and suggest that AE Cir is a
new member of the small group of s-type yellow symbiotic stars. We estimate a
distance of 9.4 kpc. Our spectrum taken at the high state shows a much flatter
spectral energy distribution, the disappearance of the $\lambda$ 6830 \AA
emission feature and the weakness of the He II 4686 emission relative to the
Balmer emission lines. Our observations indicate the presence of emission line
flickering in time scales of minutes in 2001. The peculiar character of \ae is
revealed in the visibility of the secondary star at the high and low state, the
light curve resembling a dwarf nova superoutburst and the relatively short low
states. The data are hard to reconciliate with standard models for symbiotic
star outbursts.
| astro-ph | we present new optical spectroscopy and photometry 2mass infrared observations and 24 years of combined aavso and afoev photometry of the symbiotic star candidate ae the longterm light curve is characterized by outbursts lasting several years and having a slow decline of sim 2 times 104 magday the whole range of variability of the star in the v band is about 4 magnitudes the periodogram of the photometric data reveals strong signals at sim 342 and 171 days the presence of the emission feature at lambda 6830 aa at minimum and the detection of absorption lines of a sim k5 type star confirm the symbiotic classification and suggest that ae cir is a new member of the small group of stype yellow symbiotic stars we estimate a distance of 94 kpc our spectrum taken at the high state shows a much flatter spectral energy distribution the disappearance of the lambda 6830 aa emission feature and the weakness of the he ii 4686 emission relative to the balmer emission lines our observations indicate the presence of emission line flickering in time scales of minutes in 2001 the peculiar character of ae is revealed in the visibility of the secondary star at the high and low state the light curve resembling a dwarf nova superoutburst and the relatively short low states the data are hard to reconciliate with standard models for symbiotic star outbursts | [['we', 'present', 'new', 'optical', 'spectroscopy', 'and', 'photometry', '2mass', 'infrared', 'observations', 'and', '24', 'years', 'of', 'combined', 'aavso', 'and', 'afoev', 'photometry', 'of', 'the', 'symbiotic', 'star', 'candidate', 'ae', 'the', 'longterm', 'light', 'curve', 'is', 'characterized', 'by', 'outbursts', 'lasting', 'several', 'years', 'and', 'having', 'a', 'slow', 'decline', 'of', 'sim', '2', 'times', '104', 'magday', 'the', 'whole', 'range', 'of', 'variability', 'of', 'the', 'star', 'in', 'the', 'v', 'band', 'is', 'about', '4', 'magnitudes', 'the', 'periodogram', 'of', 'the', 'photometric', 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710.3181 | An improved calculation of the isospin-symmetry-breaking corrections to
superallowed Fermi beta decay | We report new shell-model calculations of the isospin-symmetry-breaking
correction to superallowed nuclear beta decay. The most important improvement
is the inclusion of core orbitals, which are demonstrated to have a significant
impact on the mismatch in the radial wave functions of the parent and daughter
states. We determine which core orbitals are important to include from an
examination of measured spectroscopic factors in single-nucleon pick-up
reactions. We also examine the new radiative-correction calculation by Marciano
and Sirlin and, by a simple reorganization, show that it is possible to
preserve the conventional separation into a nucleus-independent inner radiative
term and a nucleus-dependent outer term. We tabulate new values for the three
theoretical corrections for twenty superallowed transitions, including the
thirteen well-studied cases. With these new correction terms the corrected Ft
values for the thirteen cases are statistically consistent with one another and
the anomalousness of the 46V result disappears. These new calculations lead to
a lower average Ft value and a higher value of Vud. The sum of squares of the
top-row elements of the CKM matrix now agrees exactly with unitarity.
| nucl-th hep-ph nucl-ex | we report new shellmodel calculations of the isospinsymmetrybreaking correction to superallowed nuclear beta decay the most important improvement is the inclusion of core orbitals which are demonstrated to have a significant impact on the mismatch in the radial wave functions of the parent and daughter states we determine which core orbitals are important to include from an examination of measured spectroscopic factors in singlenucleon pickup reactions we also examine the new radiativecorrection calculation by marciano and sirlin and by a simple reorganization show that it is possible to preserve the conventional separation into a nucleusindependent inner radiative term and a nucleusdependent outer term we tabulate new values for the three theoretical corrections for twenty superallowed transitions including the thirteen wellstudied cases with these new correction terms the corrected ft values for the thirteen cases are statistically consistent with one another and the anomalousness of the 46v result disappears these new calculations lead to a lower average ft value and a higher value of vud the sum of squares of the toprow elements of the ckm matrix now agrees exactly with unitarity | [['we', 'report', 'new', 'shellmodel', 'calculations', 'of', 'the', 'isospinsymmetrybreaking', 'correction', 'to', 'superallowed', 'nuclear', 'beta', 'decay', 'the', 'most', 'important', 'improvement', 'is', 'the', 'inclusion', 'of', 'core', 'orbitals', 'which', 'are', 'demonstrated', 'to', 'have', 'a', 'significant', 'impact', 'on', 'the', 'mismatch', 'in', 'the', 'radial', 'wave', 'functions', 'of', 'the', 'parent', 'and', 'daughter', 'states', 'we', 'determine', 'which', 'core', 'orbitals', 'are', 'important', 'to', 'include', 'from', 'an', 'examination', 'of', 'measured', 'spectroscopic', 'factors', 'in', 'singlenucleon', 'pickup', 'reactions', 'we', 'also', 'examine', 'the', 'new', 'radiativecorrection', 'calculation', 'by', 'marciano', 'and', 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710.3182 | Schubert polynomials and classes of Hessenberg varieties | Regular semisimple Hessenberg varieties are a family of subvarieties of the
flag variety that arise in number theory, numerical analysis, representation
theory, algebraic geometry, and combinatorics. We give a "Giambelli formula"
expressing the classes of regular semisimple Hessenberg varieties in terms of
Chern classes. In fact, we show that the cohomology class of each regular
semisimple Hessenberg variety is the specialization of a certain double
Schubert polynomial, giving a natural geometric interpretation to such
specializations. We also decompose such classes in terms of the Schubert basis
for the cohomology ring of the flag variety. The coefficients obtained are
nonnegative, and we give closed combinatorial formulas for the coefficients in
many cases. We introduce a closely related family of schemes called regular
nilpotent Hessenberg schemes, and use our results to determine when such
schemes are reduced.
| math.AG math.CO | regular semisimple hessenberg varieties are a family of subvarieties of the flag variety that arise in number theory numerical analysis representation theory algebraic geometry and combinatorics we give a giambelli formula expressing the classes of regular semisimple hessenberg varieties in terms of chern classes in fact we show that the cohomology class of each regular semisimple hessenberg variety is the specialization of a certain double schubert polynomial giving a natural geometric interpretation to such specializations we also decompose such classes in terms of the schubert basis for the cohomology ring of the flag variety the coefficients obtained are nonnegative and we give closed combinatorial formulas for the coefficients in many cases we introduce a closely related family of schemes called regular nilpotent hessenberg schemes and use our results to determine when such schemes are reduced | [['regular', 'semisimple', 'hessenberg', 'varieties', 'are', 'a', 'family', 'of', 'subvarieties', 'of', 'the', 'flag', 'variety', 'that', 'arise', 'in', 'number', 'theory', 'numerical', 'analysis', 'representation', 'theory', 'algebraic', 'geometry', 'and', 'combinatorics', 'we', 'give', 'a', 'giambelli', 'formula', 'expressing', 'the', 'classes', 'of', 'regular', 'semisimple', 'hessenberg', 'varieties', 'in', 'terms', 'of', 'chern', 'classes', 'in', 'fact', 'we', 'show', 'that', 'the', 'cohomology', 'class', 'of', 'each', 'regular', 'semisimple', 'hessenberg', 'variety', 'is', 'the', 'specialization', 'of', 'a', 'certain', 'double', 'schubert', 'polynomial', 'giving', 'a', 'natural', 'geometric', 'interpretation', 'to', 'such', 'specializations', 'we', 'also', 'decompose', 'such', 'classes', 'in', 'terms', 'of', 'the', 'schubert', 'basis', 'for', 'the', 'cohomology', 'ring', 'of', 'the', 'flag', 'variety', 'the', 'coefficients', 'obtained', 'are', 'nonnegative', 'and', 'we', 'give', 'closed', 'combinatorial', 'formulas', 'for', 'the', 'coefficients', 'in', 'many', 'cases', 'we', 'introduce', 'a', 'closely', 'related', 'family', 'of', 'schemes', 'called', 'regular', 'nilpotent', 'hessenberg', 'schemes', 'and', 'use', 'our', 'results', 'to', 'determine', 'when', 'such', 'schemes', 'are', 'reduced']] | [-0.19902344381057277, -0.001108496253275209, -0.05726556401706249, 0.06936254649405817, -0.14649558696481918, -0.14873387711122632, -0.04614666870415762, 0.29828830769768466, -0.36887275194749236, -0.1852295836330288, 0.0882882388446618, -0.18320102578511946, -0.24423336076239746, 0.25976738074311506, -0.18807405136057814, -0.027930968687697143, 0.06887929263455725, 0.06696169330841965, -0.13414048195931913, -0.33056870636668195, 0.43463746690087846, -0.11262048762981539, 0.25211520698611384, 0.0433952722914034, 0.0973522702128523, -0.007545661270894386, -0.02807234508778762, 0.0015434046535557611, -0.16118218388669278, 0.1726493506502636, 0.393092823828812, 0.12037165446758823, 0.15058861164445125, -0.3709390769816107, -0.08157480047256858, 0.22252843386010715, 0.1344015029810921, 0.07933270935383108, -0.019949933044888356, -0.23410470388070853, 0.0912882038909528, -0.2294623018721015, -0.19189491446681872, -0.1393938686474468, 0.06431204224074329, 0.06882977913375254, -0.2606474097645669, -0.04440123937804148, 0.07315998767606086, 0.1550377868667797, -0.03664288280048856, -0.15748727985677155, -0.01675409229506773, 0.05261551382093414, -0.04748241026385653, -0.058132024609518274, 0.09142888139381453, -0.08205271843751824, -0.15394120688239735, 0.3938073878167887, -0.015598186967825448, -0.2853912443612461, 0.14007118106302288, -0.16790443488431198, -0.20958420017872142, 0.1444017064999099, 0.11132576831237033, 0.19331508230383473, 0.025370684929549935, 0.16433209819520858, -0.1713622542788033, -0.0271051657696565, 0.11997521398589014, 0.03235217656388327, 0.14312593052508654, 0.047895061523067176, 0.010511946325250729, 0.1427012092071689, 0.051692083850502966, -0.07744314471708127, -0.33889698863581375, -0.17901851316844974, -0.09415193885840752, 0.12378965701683665, -0.1587253428785415, -0.2306142799832203, 0.4476280102989188, 0.027244475276933775, 0.17456704981073184, 0.14500314267524692, 0.19538637799797234, 0.0926729384507915, 0.04440211623355195, 0.003043567958391375, 0.0742869956108431, 0.2640631496768307, -0.03497800068860805, -0.12644322428990293, 0.0055726363616823045, 0.26320034384865454] |
710.3183 | Probabilistic coherence and proper scoring rules | We provide self-contained proof of a theorem relating probabilistic coherence
of forecasts to their non-domination by rival forecasts with respect to any
proper scoring rule. The theorem appears to be new but is closely related to
results achieved by other investigators.
| stat.ML | we provide selfcontained proof of a theorem relating probabilistic coherence of forecasts to their nondomination by rival forecasts with respect to any proper scoring rule the theorem appears to be new but is closely related to results achieved by other investigators | [['we', 'provide', 'selfcontained', 'proof', 'of', 'a', 'theorem', 'relating', 'probabilistic', 'coherence', 'of', 'forecasts', 'to', 'their', 'nondomination', 'by', 'rival', 'forecasts', 'with', 'respect', 'to', 'any', 'proper', 'scoring', 'rule', 'the', 'theorem', 'appears', 'to', 'be', 'new', 'but', 'is', 'closely', 'related', 'to', 'results', 'achieved', 'by', 'other', 'investigators']] | [-0.041049441578230116, 0.08465232705788278, -0.1761942333907383, 0.10519262500073216, -0.1556920195679839, -0.19596515085957036, 0.11287407557587935, 0.3613930768901255, -0.23792930315362243, -0.2934334890579055, 0.1261627930443643, -0.23581949476061798, -0.07731758416971056, 0.2808472194322726, -0.19456822936218687, 0.006640656873947237, 0.08055360606167375, 0.04103369691491513, -0.058079665526747704, -0.28712962061257624, 0.2560767470518263, 0.08117960584236354, 0.2599936330054955, 0.07738061417348502, 0.0833217750144441, -0.009626779353200662, -0.13477514579710437, 0.018953649327158928, -0.15098856578058586, 0.19007986304690924, 0.29727791304268486, 0.1773656097967632, 0.2932924161460705, -0.37066932018028526, -0.1407820863149515, 0.11195495137490513, 0.04213019371850461, 0.08783820971119695, 0.07519441804417022, -0.3164795461797905, 0.10717952420662452, -0.16618922432293978, -0.18763358937576413, -0.17137542563361377, -0.03710209793502056, 0.05619295577450496, -0.2749025493678523, 0.10324424983388404, 0.14891931069333378, 0.06589799008627491, -0.036293953140379816, -0.0887921081356159, 0.036063843429452035, 0.10702946152901505, 0.08608928921905051, 0.09126733287760033, 0.09072271631121999, -0.07269290321302123, -0.19801032075249567, 0.37785685816552583, -0.06326226121746004, -0.18477660194947954, 0.14342543028476762, -0.06513284605632468, -0.15778002131548596, 0.07134160890084941, 0.05997159493314784, 0.07159310482192512, -0.1601050739381008, -0.05548151984538247, -0.03620262850621125, 0.13445047897900023, 0.07523649353988288, 0.03671380186953196, 0.2226451460908099, 0.11209663939548702, 0.1052328617789033, 0.1111979988650646, 0.04383687736330236, -0.10229941448423921, -0.2734985376776355, -0.12227137432229228, -0.18873032734434053, 0.09606358656523431, -0.09476281141453399, -0.16375994228008317, 0.33477999678835635, 0.19191527507472328, 0.13997994061195995, 0.13851660201553165, 0.27645997412321044, 0.15255821055573662, 0.0974600176815307, 0.011073924317138224, 0.2091619832307759, 0.17024182461247575, 0.05979980496553386, -0.09444219983614437, 0.10890607390461898, 0.09652384762402351] |
710.3184 | 19F (p, alpha gamma) 16O reaction: HPGe detector response function and
gamma-ray relative yields | The 6.1, 6.9 and 7.1 MeV photon yields in the reaction with protons in the
1.32 to 1.42 MeV energy range were determined from the comparison between
experimental and simulated spectrum. The gamma-ray spectra were measured with a
HPGe detector which was 72.5 mm in diameter and 60.5 mm in length. The reaction
kinematics and the detector response function were simulated by different
programs using the Monte Carlo method. The relative photon yields were obtained
from the least-squares fit of the experimental gamma-ray spectra to the
convolution of the detector response function with the photon energy
distribution arising from the reaction kinematics.
| physics.ins-det nucl-ex | the 61 69 and 71 mev photon yields in the reaction with protons in the 132 to 142 mev energy range were determined from the comparison between experimental and simulated spectrum the gammaray spectra were measured with a hpge detector which was 725 mm in diameter and 605 mm in length the reaction kinematics and the detector response function were simulated by different programs using the monte carlo method the relative photon yields were obtained from the leastsquares fit of the experimental gammaray spectra to the convolution of the detector response function with the photon energy distribution arising from the reaction kinematics | [['the', '61', '69', 'and', '71', 'mev', 'photon', 'yields', 'in', 'the', 'reaction', 'with', 'protons', 'in', 'the', '132', 'to', '142', 'mev', 'energy', 'range', 'were', 'determined', 'from', 'the', 'comparison', 'between', 'experimental', 'and', 'simulated', 'spectrum', 'the', 'gammaray', 'spectra', 'were', 'measured', 'with', 'a', 'hpge', 'detector', 'which', 'was', '725', 'mm', 'in', 'diameter', 'and', '605', 'mm', 'in', 'length', 'the', 'reaction', 'kinematics', 'and', 'the', 'detector', 'response', 'function', 'were', 'simulated', 'by', 'different', 'programs', 'using', 'the', 'monte', 'carlo', 'method', 'the', 'relative', 'photon', 'yields', 'were', 'obtained', 'from', 'the', 'leastsquares', 'fit', 'of', 'the', 'experimental', 'gammaray', 'spectra', 'to', 'the', 'convolution', 'of', 'the', 'detector', 'response', 'function', 'with', 'the', 'photon', 'energy', 'distribution', 'arising', 'from', 'the', 'reaction', 'kinematics']] | [0.02619071877287591, 0.14691203192570337, -0.08715888103966683, 0.05622404935831368, 0.03138102864214292, -0.07809308956961568, 0.01640285050733855, 0.4173410134253037, -0.19620417295863815, -0.46817162006582114, -0.016320666677190687, -0.3919622007958299, 0.029673964460836907, 0.21792856489728188, 0.05996758796676409, 0.11010499133308436, 0.10692304168033469, -0.03770917620710736, -0.07830989642945282, -0.15154228567638817, 0.22459585877025828, 0.17497605052502715, 0.2658917257817937, 0.037917192436426, 0.11764558048590142, 0.013159870273346886, -0.06644041686519689, -0.05343797102607056, -0.12048593337428481, 0.0641938302547251, 0.23648849598533822, 0.07212669503938991, 0.0969397801448341, -0.3322932393308364, -0.15492180143209064, 0.07573844846703258, 0.08093012828270302, 0.02049076639677343, -0.01039388083724999, -0.3081527360002784, 0.07243136261868309, -0.17182035311399138, -0.0917549289662537, 0.0639221889660785, -0.02092378199392674, 0.09590212383544912, -0.22927813264815247, 0.09347800521337536, -0.09778938900104978, 0.08701668307185173, -0.11607116826481241, -0.20376260883594846, -0.01908415560975817, 0.04595891334682557, 0.00855918770870559, 0.06422551066640939, 0.18063812100730253, -0.05114729444532856, -0.0982959812561817, 0.32921937663181156, -0.07356699238138675, -0.09856141100759737, 0.1562555263403292, -0.20009111093046764, -0.04200406179434674, 0.2801374317667283, 0.14013174973318682, 0.10069201325121171, -0.20421315756096853, 0.03955494336026045, 0.021275572903344735, 0.2210771027751559, 0.08826886663469029, -0.03309242873836089, 0.11653536919267009, 0.16614707971023687, -0.05829484044008103, 0.15474608246415086, -0.2838948989816594, -0.054114792176394484, -0.2990939763064186, -0.09448910582189758, -0.14776253405794063, 0.09698192383317898, -0.07298010393153127, -0.06614420932772405, 0.4076560840887182, 0.07028372571621017, 0.22921056315010668, 0.04195745968300959, 0.25843127418820766, 0.09483359282945886, 0.07837031118334363, 0.05137895062273624, 0.3417555965556234, 0.16282094038415737, 0.11035934678169296, -0.23914880488369175, 0.04107739415713677, -0.022984049438188475] |
710.3185 | Fuzzy Modeling of Electrical Impedance Tomography Image of the Lungs | Electrical Impedance Tomography (EIT) is a functional imaging method that is
being developed for bedside use in critical care medicine. Aiming at improving
the chest anatomical resolution of EIT images we developed a fuzzy model based
on EIT high temporal resolution and the functional information contained in the
pulmonary perfusion and ventilation signals. EIT data from an experimental
animal model were collected during normal ventilation and apnea while an
injection of hypertonic saline was used as a reference . The fuzzy model was
elaborated in three parts: a modeling of the heart, a pulmonary map from
ventilation images and, a pulmonary map from perfusion images. Image
segmentation was performed using a threshold method and a ventilation/perfusion
map was generated. EIT images treated by the fuzzy model were compared with the
hypertonic saline injection method and CT-scan images, presenting good results
in both qualitative (the image obtained by the model was very similar to that
of the CT-scan) and quantitative (the ROC curve provided an area equal to 0.93)
point of view. Undoubtedly, these results represent an important step in the
EIT images area, since they open the possibility of developing EIT-based
bedside clinical methods, which are not available nowadays. These achievements
could serve as the base to develop EIT diagnosis system for some
life-threatening diseases commonly found in critical care medicine.
| cs.AI cs.CV | electrical impedance tomography eit is a functional imaging method that is being developed for bedside use in critical care medicine aiming at improving the chest anatomical resolution of eit images we developed a fuzzy model based on eit high temporal resolution and the functional information contained in the pulmonary perfusion and ventilation signals eit data from an experimental animal model were collected during normal ventilation and apnea while an injection of hypertonic saline was used as a reference the fuzzy model was elaborated in three parts a modeling of the heart a pulmonary map from ventilation images and a pulmonary map from perfusion images image segmentation was performed using a threshold method and a ventilationperfusion map was generated eit images treated by the fuzzy model were compared with the hypertonic saline injection method and ctscan images presenting good results in both qualitative the image obtained by the model was very similar to that of the ctscan and quantitative the roc curve provided an area equal to 093 point of view undoubtedly these results represent an important step in the eit images area since they open the possibility of developing eitbased bedside clinical methods which are not available nowadays these achievements could serve as the base to develop eit diagnosis system for some lifethreatening diseases commonly found in critical care medicine | [['electrical', 'impedance', 'tomography', 'eit', 'is', 'a', 'functional', 'imaging', 'method', 'that', 'is', 'being', 'developed', 'for', 'bedside', 'use', 'in', 'critical', 'care', 'medicine', 'aiming', 'at', 'improving', 'the', 'chest', 'anatomical', 'resolution', 'of', 'eit', 'images', 'we', 'developed', 'a', 'fuzzy', 'model', 'based', 'on', 'eit', 'high', 'temporal', 'resolution', 'and', 'the', 'functional', 'information', 'contained', 'in', 'the', 'pulmonary', 'perfusion', 'and', 'ventilation', 'signals', 'eit', 'data', 'from', 'an', 'experimental', 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'point', 'of', 'view', 'undoubtedly', 'these', 'results', 'represent', 'an', 'important', 'step', 'in', 'the', 'eit', 'images', 'area', 'since', 'they', 'open', 'the', 'possibility', 'of', 'developing', 'eitbased', 'bedside', 'clinical', 'methods', 'which', 'are', 'not', 'available', 'nowadays', 'these', 'achievements', 'could', 'serve', 'as', 'the', 'base', 'to', 'develop', 'eit', 'diagnosis', 'system', 'for', 'some', 'lifethreatening', 'diseases', 'commonly', 'found', 'in', 'critical', 'care', 'medicine']] | [-0.018426673716469985, 0.03940335665345745, -0.06342001405297927, 0.08926511249828183, -0.024628484162361654, -0.1404212814804643, 0.006626349480473968, 0.41051976366359827, -0.20359823711165417, -0.2962532520813008, 0.1533661906009558, -0.315636972331157, -0.16650644031812578, 0.2720130744877114, -0.14332965359551042, 0.10477584714206047, 0.1002636378493849, 0.05622340300222476, 0.02403397884455905, -0.18395649212876072, 0.22306874021356202, 0.06243668042004245, 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710.3186 | D-branes as coherent states in the open string channel | We show that bosonic D-brane states may be represented as coherent states in
an open string representation. By using the Thermo-Field Dynamics (TFD)
formalism, we may construct a condensed state of open string modes which
encodes the information on the D-brane configuration.
We also introduce a construction alternative to TFD, which does not requires
to assume thermal equilibrium. It is shown that the dynamics of the system
combined with geometric properties of the duplication rules of TFD is
sufficient to obtain the thermal states and their analytic continuations in a
geometric fashion. We use this approach to show that bosonic D-brane state in
the open string sector may also be built as boundary states in a special sense.
Some implications of this study on the interpretation of the open/closed
duality and on the kinemathic/algebraic structure of an open string field
theory are also commented.
| hep-th | we show that bosonic dbrane states may be represented as coherent states in an open string representation by using the thermofield dynamics tfd formalism we may construct a condensed state of open string modes which encodes the information on the dbrane configuration we also introduce a construction alternative to tfd which does not requires to assume thermal equilibrium it is shown that the dynamics of the system combined with geometric properties of the duplication rules of tfd is sufficient to obtain the thermal states and their analytic continuations in a geometric fashion we use this approach to show that bosonic dbrane state in the open string sector may also be built as boundary states in a special sense some implications of this study on the interpretation of the openclosed duality and on the kinemathicalgebraic structure of an open string field theory are also commented | [['we', 'show', 'that', 'bosonic', 'dbrane', 'states', 'may', 'be', 'represented', 'as', 'coherent', 'states', 'in', 'an', 'open', 'string', 'representation', 'by', 'using', 'the', 'thermofield', 'dynamics', 'tfd', 'formalism', 'we', 'may', 'construct', 'a', 'condensed', 'state', 'of', 'open', 'string', 'modes', 'which', 'encodes', 'the', 'information', 'on', 'the', 'dbrane', 'configuration', 'we', 'also', 'introduce', 'a', 'construction', 'alternative', 'to', 'tfd', 'which', 'does', 'not', 'requires', 'to', 'assume', 'thermal', 'equilibrium', 'it', 'is', 'shown', 'that', 'the', 'dynamics', 'of', 'the', 'system', 'combined', 'with', 'geometric', 'properties', 'of', 'the', 'duplication', 'rules', 'of', 'tfd', 'is', 'sufficient', 'to', 'obtain', 'the', 'thermal', 'states', 'and', 'their', 'analytic', 'continuations', 'in', 'a', 'geometric', 'fashion', 'we', 'use', 'this', 'approach', 'to', 'show', 'that', 'bosonic', 'dbrane', 'state', 'in', 'the', 'open', 'string', 'sector', 'may', 'also', 'be', 'built', 'as', 'boundary', 'states', 'in', 'a', 'special', 'sense', 'some', 'implications', 'of', 'this', 'study', 'on', 'the', 'interpretation', 'of', 'the', 'openclosed', 'duality', 'and', 'on', 'the', 'kinemathicalgebraic', 'structure', 'of', 'an', 'open', 'string', 'field', 'theory', 'are', 'also', 'commented']] | [-0.12683542639951684, 0.1673166280292004, -0.1615034684789582, 0.1136114345570388, -0.06394835060032514, -0.11930475723962267, 0.04192869403721908, 0.3307865952447682, -0.26430154708051284, -0.2392013940497764, 0.09897631927966498, -0.20867358520789842, -0.17350075809102689, 0.16590159192316598, -0.09846025123749372, 0.009380257861050484, 0.0636859081098989, 0.09199526624500075, -0.05301364618548928, -0.23598612356895152, 0.35586591336999895, 0.024974370870244254, 0.29063514155055675, 0.08253498375252984, 0.09084812102357408, 0.0017048395206253012, 0.015174920486703098, 0.01690599541147272, -0.13216554668769231, 0.133865361552933, 0.24256662057120015, 0.13969766585989954, 0.15576519606263747, -0.47365690005122574, -0.22105968190447453, 0.05409683653159992, 0.1576289204073422, 0.19923721196885397, -0.0069643870717357404, -0.2974167482836263, 0.04129290343359946, -0.1647203523808947, -0.15266602540264962, -0.14281808660801995, 0.0033712677724359857, -0.06723442454692106, -0.2117377593710374, 0.015596499488488739, 0.05387554705221128, 0.014784654993173127, -0.08142850693588803, -0.058284907405577284, -0.035904203279438864, 0.09953439181957108, 0.011863889651360003, 0.06031439765405327, 0.13681440211106352, -0.17676540341397579, -0.16048860524934097, 0.3332987454153233, -0.07815991454697507, -0.2463644842740956, 0.17672775201238952, -0.08963764224761536, -0.1551537835429963, 0.034303446874263455, 0.0902432842583923, 0.11618716261916227, -0.15453354826146554, 0.14436593192541594, -0.07945768475626966, 0.15420493385852216, 0.06608636863855319, 0.09474370680371677, 0.24974813671795637, 0.11427538776184087, 0.03251090254374109, 0.20868617252746297, -0.022168296936352354, -0.18908399394290012, -0.37070627359451946, -0.14838442557747902, -0.13475962682021456, 0.11248880094155372, -0.027543589560489228, -0.22684084337552313, 0.38356176448556095, 0.13653647917720907, 0.19416669625939534, 0.0084753800020716, 0.2192620202065348, 0.09802018124015897, 0.031237126795340565, 0.07548899073935264, 0.1966095053783367, 0.14403094886802137, 0.05879168443616245, -0.24913007868909753, -0.032307439293204385, 0.09018287389259134] |
710.3187 | On the Quantum Origin of Structure in the Inflationary Universe | In this lecture I give a pedagogical introduction to inflationary cosmology
with a special focus on the quantum generation of cosmological perturbations.
| hep-th | in this lecture i give a pedagogical introduction to inflationary cosmology with a special focus on the quantum generation of cosmological perturbations | [['in', 'this', 'lecture', 'i', 'give', 'a', 'pedagogical', 'introduction', 'to', 'inflationary', 'cosmology', 'with', 'a', 'special', 'focus', 'on', 'the', 'quantum', 'generation', 'of', 'cosmological', 'perturbations']] | [-0.12397339889271693, 0.15506600376895882, -0.1105164172635837, 0.09707359425109727, -0.15034060874445873, -0.22161454847082496, -0.11808556577571752, 0.22980495440689, -0.15360499105670236, -0.24874230842529374, 0.12340444344921377, -0.20467583937782116, -0.12908945768140256, 0.14606718908445063, -0.11308609971522608, -0.07316586974246259, 0.07309636829251592, 0.015717645768414844, -0.08546914318999783, -0.36748742684721947, 0.36757533510469576, 0.1533440918905068, 0.20625338381664318, 0.014630442104217682, 0.09691810006783767, -0.05519992837005041, -0.10683726985007524, -0.041495557366447014, -0.27317924585870723, 0.12279166526753794, 0.2651162311581588, 0.13380372556011108, 0.3349343832920898, -0.447778218510476, -0.20115637527355415, 0.07218445930629969, 0.06225958951240913, 0.2612429102882743, -0.14340241721683097, -0.3038903081958944, -0.03630359894172712, -0.18333007412200625, -0.04956167597662319, -0.02546129047616639, 0.007176100255244158, -0.05764849196103486, -0.16274494186721064, 0.012366421055048704, 0.020982975394211033, 0.08769215169278058, 0.03410348144164097, -0.05414369295943867, 0.13939847221428697, -0.014052853877232834, 0.06379170021550222, 0.01875070895237679, 0.10732673976136456, -0.16706918669991533, -0.12597725413401017, 0.4937059378082102, -0.14262652776034718, -0.1811611890708181, 0.06128038140013814, -0.11806614282117649, -0.2592241595054723, -0.04577025182185356, 0.21613297594541853, 0.08244152011519129, -0.09737446209923788, 0.16034955137663268, 0.09278247132897377, 0.09198872579938987, 0.03479402635077184, 0.05590501055121422, 0.3734165954149582, 0.15844575061716817, 0.02844552763483741, 0.12184220556677743, 0.054557431901974436, -0.1392777313224294, -0.510096094825051, -0.12716183603995226, -0.16990570148283785, 0.1836510734971274, -0.06960002917119047, -0.28276447105136787, 0.47979368387975474, 0.20840876308185133, 0.18433420250022953, 0.04236809621480378, 0.2693233671174808, 0.04412832827603614, -0.06738189939377745, -0.020740075714208862, 0.2651430420916189, 0.1407898035408421, 0.2161342992066321, -0.1317079449919137, -0.09325101182118735, 0.10023791541938078] |
710.3188 | Powers of Coxeter elements in infinite groups are reduced | Let W be an infinite irreducible Coxeter group with (s_1, ..., s_n) the
simple generators. We give a simple proof that the word s_1 s_2 ... s_n s_1 s_2
>... s_n ... s_1 s_2 ... s_n is reduced for any number of repetitions of s_1
s_2 >... s_n. This result was proved for simply-laced, crystallographic groups
by Kleiner and Pelley using methods from the theory of quiver representations.
Our proof only using basic facts about Coxeter groups and the geometry of root
systems.
| math.CO | let w be an infinite irreducible coxeter group with s_1 s_n the simple generators we give a simple proof that the word s_1 s_2 s_n s_1 s_2 s_n s_1 s_2 s_n is reduced for any number of repetitions of s_1 s_2 s_n this result was proved for simplylaced crystallographic groups by kleiner and pelley using methods from the theory of quiver representations our proof only using basic facts about coxeter groups and the geometry of root systems | [['let', 'w', 'be', 'an', 'infinite', 'irreducible', 'coxeter', 'group', 'with', 's_1', 's_n', 'the', 'simple', 'generators', 'we', 'give', 'a', 'simple', 'proof', 'that', 'the', 'word', 's_1', 's_2', 's_n', 's_1', 's_2', 's_n', 's_1', 's_2', 's_n', 'is', 'reduced', 'for', 'any', 'number', 'of', 'repetitions', 'of', 's_1', 's_2', 's_n', 'this', 'result', 'was', 'proved', 'for', 'simplylaced', 'crystallographic', 'groups', 'by', 'kleiner', 'and', 'pelley', 'using', 'methods', 'from', 'the', 'theory', 'of', 'quiver', 'representations', 'our', 'proof', 'only', 'using', 'basic', 'facts', 'about', 'coxeter', 'groups', 'and', 'the', 'geometry', 'of', 'root', 'systems']] | [-0.16804440926735928, 0.21847092196836265, -0.07699955173915154, 0.014286261395012078, -0.06386504449734562, -0.18074367115102513, -0.017481080705214192, 0.36761478562594246, -0.34937574692364587, -0.20066879858802023, 0.07413642074434872, -0.2940276072507626, -0.06464318722167886, 0.19689501351431796, -0.14754052137907006, -0.09489425894265112, 0.05855686651346715, 0.16337486827059797, -0.1126229684818291, -0.29851195723504614, 0.27239572933850514, -0.11307080058184893, 0.25168857550689655, -0.033227247186005116, 0.09136984399274777, 0.06395685643349823, 0.0025195852167120107, -0.10711859822530594, -0.20337289882148693, 0.1170838700705453, 0.32050998679876913, 0.11454682879909676, 0.11648043906499975, -0.33890578014171824, -0.07931420300768591, 0.2360525609570016, 0.19569416847202534, 5.9585737625112465e-05, -0.04124549479762975, -0.30819853552077947, 0.13035645247682145, -0.2145029063777704, -0.10990940548455048, -0.003538715885952115, 0.15528688601855384, 0.011454489321055772, -0.23361524764301353, 0.054301828060201125, 0.13383668543476807, 0.15361088508200882, 0.032091008388976515, -0.19505346372821614, -0.07123735055364178, 0.12095325290666599, 0.047315414305653815, 0.0520652300849753, 0.09212917567377812, 0.012621792305971644, -0.1704254152596389, 0.4003257563607277, 0.052070980462686794, -0.2275180082621151, 0.08006151491396227, -0.1399942133085508, -0.2174955009985225, 0.08550001552181416, 0.015744464361648027, 0.18350290693342686, -0.014461349181242679, 0.2095092836580558, -0.17462699197992487, 0.11992820800668069, 0.14386175572872162, -0.045208482947935794, 0.12085236648195669, 0.02622972956343897, 0.03304052084537321, 0.1446911995100029, 0.12540824890234753, 0.06751964729904246, -0.4020567370186511, -0.16411757639511243, -0.20542718436703772, 0.14598156654851904, -0.21563184635038182, -0.08888825010140672, 0.36992607390704124, 0.025214401306584477, 0.15363758870310112, 0.14843088068300858, 0.12663206350254386, 0.0244209838642028, 0.05415144098898102, 0.06566497152303591, -0.08604540276390157, 0.29094195168918785, -0.1655618836980705, -0.2032969633307259, -0.029975158248194737, 0.27673106071980375] |
710.3189 | Multimass spherical structure models for N-body simulations | We present a simple and efficient method to set up spherical structure models
for N-body simulations with a multimass technique. This technique reduces by a
substantial factor the computer run time needed in order to resolve a given
scale as compared to single-mass models. It therefore allows to resolve smaller
scales in N-body simulations for a given computer run time. Here, we present
several models with an effective resolution of up to 1.68 x 10^9 particles
within their virial radius which are stable over cosmologically relevant
time-scales. As an application, we confirm the theoretical prediction by Dehnen
(2005) that in mergers of collisonless structures like dark matter haloes
always the cusp of the steepest progenitor is preserved. We model each merger
progenitor with an effective number of particles of approximately 10^8
particles. We also find that in a core-core merger the central density
approximately doubles whereas in the cusp-cusp case the central density only
increases by approximately 50%. This may suggest that the central region of
flat structures are better protected and get less energy input through the
merger process.
| astro-ph | we present a simple and efficient method to set up spherical structure models for nbody simulations with a multimass technique this technique reduces by a substantial factor the computer run time needed in order to resolve a given scale as compared to singlemass models it therefore allows to resolve smaller scales in nbody simulations for a given computer run time here we present several models with an effective resolution of up to 168 x 109 particles within their virial radius which are stable over cosmologically relevant timescales as an application we confirm the theoretical prediction by dehnen 2005 that in mergers of collisonless structures like dark matter haloes always the cusp of the steepest progenitor is preserved we model each merger progenitor with an effective number of particles of approximately 108 particles we also find that in a corecore merger the central density approximately doubles whereas in the cuspcusp case the central density only increases by approximately 50 this may suggest that the central region of flat structures are better protected and get less energy input through the merger process | [['we', 'present', 'a', 'simple', 'and', 'efficient', 'method', 'to', 'set', 'up', 'spherical', 'structure', 'models', 'for', 'nbody', 'simulations', 'with', 'a', 'multimass', 'technique', 'this', 'technique', 'reduces', 'by', 'a', 'substantial', 'factor', 'the', 'computer', 'run', 'time', 'needed', 'in', 'order', 'to', 'resolve', 'a', 'given', 'scale', 'as', 'compared', 'to', 'singlemass', 'models', 'it', 'therefore', 'allows', 'to', 'resolve', 'smaller', 'scales', 'in', 'nbody', 'simulations', 'for', 'a', 'given', 'computer', 'run', 'time', 'here', 'we', 'present', 'several', 'models', 'with', 'an', 'effective', 'resolution', 'of', 'up', 'to', '168', 'x', '109', 'particles', 'within', 'their', 'virial', 'radius', 'which', 'are', 'stable', 'over', 'cosmologically', 'relevant', 'timescales', 'as', 'an', 'application', 'we', 'confirm', 'the', 'theoretical', 'prediction', 'by', 'dehnen', '2005', 'that', 'in', 'mergers', 'of', 'collisonless', 'structures', 'like', 'dark', 'matter', 'haloes', 'always', 'the', 'cusp', 'of', 'the', 'steepest', 'progenitor', 'is', 'preserved', 'we', 'model', 'each', 'merger', 'progenitor', 'with', 'an', 'effective', 'number', 'of', 'particles', 'of', 'approximately', '108', 'particles', 'we', 'also', 'find', 'that', 'in', 'a', 'corecore', 'merger', 'the', 'central', 'density', 'approximately', 'doubles', 'whereas', 'in', 'the', 'cuspcusp', 'case', 'the', 'central', 'density', 'only', 'increases', 'by', 'approximately', '50', 'this', 'may', 'suggest', 'that', 'the', 'central', 'region', 'of', 'flat', 'structures', 'are', 'better', 'protected', 'and', 'get', 'less', 'energy', 'input', 'through', 'the', 'merger', 'process']] | [-0.08589675589354043, 0.11969916396291455, -0.08933480535555818, 0.08438357050170188, -0.04027267551705158, -0.07543967640958726, 0.016923628656412136, 0.37778856053781906, -0.20651777795198575, -0.38335344018661754, 0.06756025270426219, -0.2353613797573447, -0.07495486285724787, 0.20575695114038553, 0.0010845238187118802, 0.01867250583392136, 0.08412876393380653, -0.001921758301524893, -0.08298642535475421, -0.27948962908248576, 0.2627162881866722, 0.12709466325165963, 0.17055285906981074, -0.014800023222498222, 0.08655940651355114, -0.040464188051592125, -0.03202877044495632, 0.00028112597565827424, -0.1591321935599742, 0.06525564489381482, 0.2248336149812876, 0.0933774749347784, 0.26084099657178006, -0.42602761192819594, -0.20467491828063866, 0.08191566209584558, 0.2010746677536205, 0.1212337040257843, -0.07926183402233929, -0.22751154491870387, 0.11915323622726351, -0.24629581623643054, -0.14902596801841975, -0.029860921469439007, 0.05028715403230247, -0.003865868355896761, -0.23651694698166884, 0.1568740404273745, 0.013782253579949368, -0.025207529449315126, -0.04700269785809835, -0.07125752202791874, -0.009858627924591553, 0.056631290482606886, 0.028241351057415015, 0.044277988548531044, 0.1679683931447649, -0.1294541977461058, -0.07791413360551083, 0.40606900325367573, -0.0592787299264878, -0.13764541412616868, 0.22230927282736204, -0.15213030754905923, -0.12875897749070228, 0.1594806073504037, 0.1568725292061003, 0.12569572030977663, -0.10833021818774664, 0.03164081978052334, -0.04113560836624312, 0.23902357230873456, 0.06624229321927456, -0.049355032219026006, 0.2584997324816695, 0.17170353988237555, 0.07093462453083287, 0.086487993666923, -0.11525798156823672, -0.09383382786887401, -0.2663663483157171, -0.12189831456342483, -0.1459960294783365, 0.06314056534085985, -0.14291930464392283, -0.12494005117169972, 0.35140635199095616, 0.15911573760130823, 0.2404335264283019, 0.08016892726072657, 0.2835731502809671, 0.08072036062050207, 0.1013359931471898, 0.11901241647828807, 0.23290244181375097, 0.13223072347704676, 0.04934673015400247, -0.19049116009690242, 0.006049955607126545, -0.001258741962780666] |
710.319 | Chandra Observations of Type Ia Supernovae: Upper Limits to the X-ray
Flux of SN 2002bo, SN 2002ic, SN 2005gj, and SN 2005ke | We set sensitive upper limits to the X-ray emission of four Type Ia
supernovae (SNe Ia) using the Chandra X-ray Observatory. SN 2002bo, a normal,
although reddened, nearby SN Ia, was observed 9.3 days after explosion. For an
absorbed, high temperature bremsstrahlung model the flux limits are 3.2E-16
ergs/cm^2/s (0.5-2 keV band) and 4.1E-15 ergs/cm^2/s (2-10 keV band). Using
conservative model assumptions and a 10 km/s wind speed, we derive a mass loss
rate of \dot{M} ~ 2E-5 M_\odot/yr, which is comparable to limits set by the
non-detection of Halpha lines from other SNe Ia. Two other objects, SN 2002ic
and SN 2005gj, observed 260 and 80 days after explosion, respectively, are the
only SNe Ia showing evidence for circumstellar interaction. The SN 2002ic X-ray
flux upper limits are ~4 times below predictions of the interaction model
currently favored to explain the bright optical emission. To resolve this
discrepancy we invoke the mixing of cool dense ejecta fragments into the
forward shock region, which produces increased X-ray absorption. A modest
amount of mixing allows us to accommodate the Chandra upper limit. SN 2005gj is
less well studied at this time. Assuming the same circumstellar environment as
for SN 2002i, the X-ray flux upper limits for SN 2005gj are ~4 times below the
predictions, suggesting that mixing of cool ejecta into the forward shock has
also occurred here. Our reanalysis of Swift and Chandra data on SN 2005ke does
not confirm a previously reported X-ray detection. The host galaxies NGC 3190
(SN 2002bo) and NGC 1371 (SN 2005ke) each harbor a low luminosity (L_X ~ 3-4E40
ergs/s) active nucleus in addition to wide-spread diffuse soft X-ray emission.
| astro-ph | we set sensitive upper limits to the xray emission of four type ia supernovae sne ia using the chandra xray observatory sn 2002bo a normal although reddened nearby sn ia was observed 93 days after explosion for an absorbed high temperature bremsstrahlung model the flux limits are 32e16 ergscm2s 052 kev band and 41e15 ergscm2s 210 kev band using conservative model assumptions and a 10 kms wind speed we derive a mass loss rate of dotm 2e5 m_odotyr which is comparable to limits set by the nondetection of halpha lines from other sne ia two other objects sn 2002ic and sn 2005gj observed 260 and 80 days after explosion respectively are the only sne ia showing evidence for circumstellar interaction the sn 2002ic xray flux upper limits are 4 times below predictions of the interaction model currently favored to explain the bright optical emission to resolve this discrepancy we invoke the mixing of cool dense ejecta fragments into the forward shock region which produces increased xray absorption a modest amount of mixing allows us to accommodate the chandra upper limit sn 2005gj is less well studied at this time assuming the same circumstellar environment as for sn 2002i the xray flux upper limits for sn 2005gj are 4 times below the predictions suggesting that mixing of cool ejecta into the forward shock has also occurred here our reanalysis of swift and chandra data on sn 2005ke does not confirm a previously reported xray detection the host galaxies ngc 3190 sn 2002bo and ngc 1371 sn 2005ke each harbor a low luminosity l_x 34e40 ergss active nucleus in addition to widespread diffuse soft xray emission | [['we', 'set', 'sensitive', 'upper', 'limits', 'to', 'the', 'xray', 'emission', 'of', 'four', 'type', 'ia', 'supernovae', 'sne', 'ia', 'using', 'the', 'chandra', 'xray', 'observatory', 'sn', '2002bo', 'a', 'normal', 'although', 'reddened', 'nearby', 'sn', 'ia', 'was', 'observed', '93', 'days', 'after', 'explosion', 'for', 'an', 'absorbed', 'high', 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710.3191 | Galaxy Structural Parameters in Source Extractor | Over the last decade, the Concentration, Asymmetry and Smoothness (CAS), as
well as the M20 and GINI parameters have become popular to automatically
classify distant galaxies in images. Ellipticals, spirals and irregular
galaxies all appear to occupy different regions of this parameter space. At the
same time, the Source Extractor (SE) program has become the mainstay to produce
ob ject catalogs from large image surveys. A logical next step would be to
incorporate the structural parameters into the Source Extractor software. There
are however several problems that arise: 1) the CAS parameters are fits to the
images and Source Extractor eschews fits in the interest of speed, 2) the
definition of the structural parameters changed over time. Now that there is a
clear and agreed-upon definition of the structural parameters, I am
incorporating computed versions in the Source Extractor code (v2.5). The fitted
CAS parameters are available for the GOODS-N/S fields and I compare the
computed structural parameters to those found by the previous fits. My goal is
to expand the source structure information in Source Extractor catalogs in
order to improve automatic identification of sources, specifically of distant
galaxies. The computed parameters perform reasonably close to the fitted
versions but noise appears in faint ob jects due to a lack of information. For
a subset of objects, the asymmetry signal is outside the SE boundaries and
Smoothness still fails to compute for many ob jects. Type classification based
on the SE parameters still lacks resolving power.
| astro-ph | over the last decade the concentration asymmetry and smoothness cas as well as the m20 and gini parameters have become popular to automatically classify distant galaxies in images ellipticals spirals and irregular galaxies all appear to occupy different regions of this parameter space at the same time the source extractor se program has become the mainstay to produce ob ject catalogs from large image surveys a logical next step would be to incorporate the structural parameters into the source extractor software there are however several problems that arise 1 the cas parameters are fits to the images and source extractor eschews fits in the interest of speed 2 the definition of the structural parameters changed over time now that there is a clear and agreedupon definition of the structural parameters i am incorporating computed versions in the source extractor code v25 the fitted cas parameters are available for the goodsns fields and i compare the computed structural parameters to those found by the previous fits my goal is to expand the source structure information in source extractor catalogs in order to improve automatic identification of sources specifically of distant galaxies the computed parameters perform reasonably close to the fitted versions but noise appears in faint ob jects due to a lack of information for a subset of objects the asymmetry signal is outside the se boundaries and smoothness still fails to compute for many ob jects type classification based on the se parameters still lacks resolving power | [['over', 'the', 'last', 'decade', 'the', 'concentration', 'asymmetry', 'and', 'smoothness', 'cas', 'as', 'well', 'as', 'the', 'm20', 'and', 'gini', 'parameters', 'have', 'become', 'popular', 'to', 'automatically', 'classify', 'distant', 'galaxies', 'in', 'images', 'ellipticals', 'spirals', 'and', 'irregular', 'galaxies', 'all', 'appear', 'to', 'occupy', 'different', 'regions', 'of', 'this', 'parameter', 'space', 'at', 'the', 'same', 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710.3192 | The Environment of M85 optical transient 2006-1: constraints on the
progenitor age and mass | M85 optical transient 2006-1 (M85 OT 2006-1) is the most luminous member of
the small family of V838 Mon-like objects, whose nature is still a mystery.
This event took place in the Virgo cluster of galaxies and peaked at an
absolute magnitude of I~-13. Here we present Hubble Space Telescope images of
M85 OT 2006-1 and its environment, taken before and after the eruption, along
with a spectrum of the host galaxy at the transient location. We find that the
progenitor of M85 OT 2006-1 was not associated with any star forming region.
The g and z-band absolute magnitudes of the progenitor were fainter than about
-4 and -6 mag, respectively. Therefore, we can set a lower limit of ~50 Myr on
the age of the youngest stars at the location of the progenitor that
corresponds to a mass of <7 solar mass. Previously published line indices
suggest that M85 has a mean stellar age of 1.6+/-0.3 Gyr. If this mean age is
representative of the progenitor of M85 OT 2006-1, then we can further
constrain its mass to be less than 2 solar mass. We compare the energetics and
mass limit derived for the M85 OT 2006-1 progenitor with those expected from a
simple model of violent stellar mergers. Combined with further modeling, these
new clues may ultimately reveal the true nature of these puzzling events.
| astro-ph | m85 optical transient 20061 m85 ot 20061 is the most luminous member of the small family of v838 monlike objects whose nature is still a mystery this event took place in the virgo cluster of galaxies and peaked at an absolute magnitude of i13 here we present hubble space telescope images of m85 ot 20061 and its environment taken before and after the eruption along with a spectrum of the host galaxy at the transient location we find that the progenitor of m85 ot 20061 was not associated with any star forming region the g and zband absolute magnitudes of the progenitor were fainter than about 4 and 6 mag respectively therefore we can set a lower limit of 50 myr on the age of the youngest stars at the location of the progenitor that corresponds to a mass of 7 solar mass previously published line indices suggest that m85 has a mean stellar age of 1603 gyr if this mean age is representative of the progenitor of m85 ot 20061 then we can further constrain its mass to be less than 2 solar mass we compare the energetics and mass limit derived for the m85 ot 20061 progenitor with those expected from a simple model of violent stellar mergers combined with further modeling these new clues may ultimately reveal the true nature of these puzzling events | [['m85', 'optical', 'transient', '20061', 'm85', 'ot', '20061', 'is', 'the', 'most', 'luminous', 'member', 'of', 'the', 'small', 'family', 'of', 'v838', 'monlike', 'objects', 'whose', 'nature', 'is', 'still', 'a', 'mystery', 'this', 'event', 'took', 'place', 'in', 'the', 'virgo', 'cluster', 'of', 'galaxies', 'and', 'peaked', 'at', 'an', 'absolute', 'magnitude', 'of', 'i13', 'here', 'we', 'present', 'hubble', 'space', 'telescope', 'images', 'of', 'm85', 'ot', '20061', 'and', 'its', 'environment', 'taken', 'before', 'and', 'after', 'the', 'eruption', 'along', 'with', 'a', 'spectrum', 'of', 'the', 'host', 'galaxy', 'at', 'the', 'transient', 'location', 'we', 'find', 'that', 'the', 'progenitor', 'of', 'm85', 'ot', 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710.3193 | On the effects of conformal degrees of freedom inside a neutron star | In this paper a neutron star with an inner core which undergoes a phase
transition, which is characterized by conformal degrees of freedom on the phase
boundary, is considered. Typical cases of such a phase transition are e.g.
quantum Hall effect, superconductivity and superfluidity. Assuming the
mechanical stability of this system the effects induced by the conformal
degrees of freedom on the phase boundary will be analyzed. We will see that the
inclusion of conformal degrees of freedom is not always consistent with the
staticity of the phase boundary. Indeed also in the case of mechanical
equilibrium there may be the tendency of one phase to swallow the other. Such a
shift of the phase boundary would not imply any compression or decompression of
the core. By solving the Israel junction conditions for the conformal matter,
we have found the range of physical parameters which can guarantee a stable
equilibrium of the phase boundary of the neutron star. The relevant parameters
turn out to be not only the density difference but also the difference of the
slope of the density profiles of the two phases. The values of the parameters
which guarantee the stability turn out to be in a phenomenologically reasonable
range. For the parameter values where the the phase boundary tends to move, a
possible astrophysical consequence related to sudden small changes of the
moment of inertia of the star is briefly discussed.
| gr-qc astro-ph cond-mat.stat-mech hep-ph hep-th | in this paper a neutron star with an inner core which undergoes a phase transition which is characterized by conformal degrees of freedom on the phase boundary is considered typical cases of such a phase transition are eg quantum hall effect superconductivity and superfluidity assuming the mechanical stability of this system the effects induced by the conformal degrees of freedom on the phase boundary will be analyzed we will see that the inclusion of conformal degrees of freedom is not always consistent with the staticity of the phase boundary indeed also in the case of mechanical equilibrium there may be the tendency of one phase to swallow the other such a shift of the phase boundary would not imply any compression or decompression of the core by solving the israel junction conditions for the conformal matter we have found the range of physical parameters which can guarantee a stable equilibrium of the phase boundary of the neutron star the relevant parameters turn out to be not only the density difference but also the difference of the slope of the density profiles of the two phases the values of the parameters which guarantee the stability turn out to be in a phenomenologically reasonable range for the parameter values where the the phase boundary tends to move a possible astrophysical consequence related to sudden small changes of the moment of inertia of the star is briefly discussed | [['in', 'this', 'paper', 'a', 'neutron', 'star', 'with', 'an', 'inner', 'core', 'which', 'undergoes', 'a', 'phase', 'transition', 'which', 'is', 'characterized', 'by', 'conformal', 'degrees', 'of', 'freedom', 'on', 'the', 'phase', 'boundary', 'is', 'considered', 'typical', 'cases', 'of', 'such', 'a', 'phase', 'transition', 'are', 'eg', 'quantum', 'hall', 'effect', 'superconductivity', 'and', 'superfluidity', 'assuming', 'the', 'mechanical', 'stability', 'of', 'this', 'system', 'the', 'effects', 'induced', 'by', 'the', 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710.3194 | On a classification of the gradient shrinking solitons | The main purpose of this article is to provide an alternate proof to a result
of Perelman on gradient shrinking solitons. In dimension three we also
generalize the result by removing the $\kappa$-non-collapsing assumption. In
high dimension this new method allows us to prove a classification result on
gradient shrinking solitons with vanishing Weyl curvature tensor, which
includes the rotationally symmetric ones.
| math.DG math.AP | the main purpose of this article is to provide an alternate proof to a result of perelman on gradient shrinking solitons in dimension three we also generalize the result by removing the kappanoncollapsing assumption in high dimension this new method allows us to prove a classification result on gradient shrinking solitons with vanishing weyl curvature tensor which includes the rotationally symmetric ones | [['the', 'main', 'purpose', 'of', 'this', 'article', 'is', 'to', 'provide', 'an', 'alternate', 'proof', 'to', 'a', 'result', 'of', 'perelman', 'on', 'gradient', 'shrinking', 'solitons', 'in', 'dimension', 'three', 'we', 'also', 'generalize', 'the', 'result', 'by', 'removing', 'the', 'kappanoncollapsing', 'assumption', 'in', 'high', 'dimension', 'this', 'new', 'method', 'allows', 'us', 'to', 'prove', 'a', 'classification', 'result', 'on', 'gradient', 'shrinking', 'solitons', 'with', 'vanishing', 'weyl', 'curvature', 'tensor', 'which', 'includes', 'the', 'rotationally', 'symmetric', 'ones']] | [-0.13947884630291693, 0.06998939320446, -0.1257047840251377, 0.037047335117559636, -0.11730769473398404, -0.12896166569102677, -0.025301593641239788, 0.33610638729747266, -0.22911746433425334, -0.2183939664654674, 0.10741419030068021, -0.22998209274021886, -0.15105719993551892, 0.16077147184630797, -0.14847707838541077, -0.024906960616429007, 0.03680366898075708, 0.03045917054940571, -0.05583314246483027, -0.29147421917127025, 0.41459246364332014, -0.00010693101813235591, 0.2904138074166352, 0.11473666553220321, 0.07258591620672133, -0.0036081601264736345, -0.05265721795900214, -0.0044182404395072695, -0.18316479670184274, 0.15935351925661728, 0.1870602270468108, 0.04633673269587058, 0.26817223709076643, -0.35646065126263327, -0.21074654710208696, 0.13376255579773458, 0.14715774887571892, 0.17421362314546, -0.0636713421648188, -0.2796412196400906, 0.130822389168785, -0.1495756536211458, -0.23854626786534586, -0.12140061473473907, -0.03420347371889699, -0.015495890511139747, -0.21865257003434724, 0.07705725382050244, 0.2133673313524454, 0.015085310615118473, -0.10455237291546748, -0.08050609708222892, 0.012928516784262272, 0.040969061331012316, 0.08461668541760094, 0.03931034967723873, 0.0372779824500603, -0.04101895936764777, -0.0891432371140728, 0.29107170748794753, -0.14886910187441013, -0.2442073281854391, 0.1771336410630254, -0.07367625654179362, -0.14815113684462924, 0.09670562345925118, 0.17655537214464387, 0.17023608705870086, -0.09040461769027094, 0.04586819421890522, -0.05705717024243166, 0.10138094948507065, 0.11782955855972344, -0.03097263109239359, 0.11671885298264603, 0.11145407107899026, 0.20982890838997498, 0.18778931935347856, -0.038526776464535825, -0.08856781733582818, -0.3524697894050229, -0.21447537895179383, -0.20968400726034755, 0.11936226140166964, -0.1332697487706619, -0.16337596180270456, 0.40868796957957165, 0.08439064156564494, 0.23244602793561026, 0.09879046351265823, 0.2983055078694897, 0.06158453156991351, 0.07650880465253947, 0.106894493200666, 0.2305817897281339, 0.21251600794869685, 0.10675922265997337, -0.1320901754492473, -0.028815409010877053, 0.19618472420129804] |
710.3195 | On 4-dimensional gradient shrinking solitons | In this paper we classify the four dimensional gradient shrinking solitons
under certain curvature conditions satisfied by all solitons arising from
finite time singularities of Ricci flow on compact four manifolds with positive
isotropic curvature. As a corollary we generalize a result of Perelman on three
dimensional gradient shrinking solitons to dimension four.
| math.DG math.AP | in this paper we classify the four dimensional gradient shrinking solitons under certain curvature conditions satisfied by all solitons arising from finite time singularities of ricci flow on compact four manifolds with positive isotropic curvature as a corollary we generalize a result of perelman on three dimensional gradient shrinking solitons to dimension four | [['in', 'this', 'paper', 'we', 'classify', 'the', 'four', 'dimensional', 'gradient', 'shrinking', 'solitons', 'under', 'certain', 'curvature', 'conditions', 'satisfied', 'by', 'all', 'solitons', 'arising', 'from', 'finite', 'time', 'singularities', 'of', 'ricci', 'flow', 'on', 'compact', 'four', 'manifolds', 'with', 'positive', 'isotropic', 'curvature', 'as', 'a', 'corollary', 'we', 'generalize', 'a', 'result', 'of', 'perelman', 'on', 'three', 'dimensional', 'gradient', 'shrinking', 'solitons', 'to', 'dimension', 'four']] | [-0.2172470167630686, 0.12268114560898745, -0.08103259687997261, 0.05912930150033098, -0.08886619999495177, -0.16558343778311643, -0.10645305004875825, 0.3793913459159293, -0.21497984905287904, -0.15295784020761274, 0.1912209016319259, -0.27102267917878226, -0.14180531510907524, 0.18092176482907302, -0.09389335616439018, 0.014953243528615753, 0.020656925098935387, 0.07712086353380725, -0.08181145764614965, -0.3275932387167693, 0.5239668374986581, -0.11107392935960922, 0.25637160252147123, 0.09372093991424783, 0.14414207357913256, -0.08587363222613931, 0.022183106825599132, 0.1255453119388307, -0.23186537468770765, 0.07630588240780921, 0.20303812641474717, 0.007570319866128969, 0.23306872484448282, -0.39000940431823145, -0.2984359056846994, 0.183534626892926, 0.15611196919080783, 0.09464658543748676, -0.06196134812022858, -0.27838964482663936, 0.071571656458853, -0.09085507719021924, -0.22029202200257098, -0.10581547821397488, -0.04956729650356859, 0.014488158343394971, -0.15631974938343157, 0.10841418252730707, 0.1632633582108988, 0.05841467916122023, -0.13856696096723373, -0.07425180585387181, -0.07381682461654802, 0.032369885204869484, 0.0798372901484089, -0.008512070720997762, 0.06285149656798479, -0.05114466975413412, -0.11493797216318408, 0.3096729963930007, -0.19393249783875807, -0.26713847347869063, 0.18302676017079852, -0.07156374912603565, -0.12118532098741885, 0.12860675676251357, 0.2228423603909213, 0.20111455933524752, -0.05203667940694909, 0.06753715974682907, -0.04006113326352722, 0.052773865572405314, 0.22137818872085158, -0.02572193186519281, 0.1208361363354719, 0.08591369476239637, 0.1905679682902289, 0.1652973728465303, -0.03605296251030182, -0.11083288532066739, -0.38511552942811317, -0.16932842766268635, -0.1695615337340091, 0.18781862407922745, -0.19600889522512005, -0.16253344584607854, 0.41710950089794285, -0.026530351904923765, 0.24356707853247533, 0.12027475100783806, 0.257242869796618, 0.028490437627418565, 0.04135379044093051, 0.15387110812765248, 0.18664194734872513, 0.20025136172859315, 0.10280339762498185, -0.13087851755795474, -0.15338820531823724, 0.20335364438382522] |
710.3196 | Simulation of Grover's quantum search algorithm in a Ising nuclear spin
chain quantum computer with first and second nearest neighbour couplings | We implement Grover's quantum search algorithm on a nuclear spin chain
quantum computer, taking into Ising type interactions between nearest and
second nearest neighbours into account. The performance of the realisation of
the algorithm is studied by numerical simulations with four spins. We determine
the temporal behaviour of the fidelity during the algorithm, and we compute the
final fidelity as a function of the Rabi frequency. For the latter, we obtained
pronounced maxima at frequencies which fulfil the condition of the (2\pi
k)-method with respect to the second nearest neighbour interactions.
| quant-ph | we implement grovers quantum search algorithm on a nuclear spin chain quantum computer taking into ising type interactions between nearest and second nearest neighbours into account the performance of the realisation of the algorithm is studied by numerical simulations with four spins we determine the temporal behaviour of the fidelity during the algorithm and we compute the final fidelity as a function of the rabi frequency for the latter we obtained pronounced maxima at frequencies which fulfil the condition of the 2pi kmethod with respect to the second nearest neighbour interactions | [['we', 'implement', 'grovers', 'quantum', 'search', 'algorithm', 'on', 'a', 'nuclear', 'spin', 'chain', 'quantum', 'computer', 'taking', 'into', 'ising', 'type', 'interactions', 'between', 'nearest', 'and', 'second', 'nearest', 'neighbours', 'into', 'account', 'the', 'performance', 'of', 'the', 'realisation', 'of', 'the', 'algorithm', 'is', 'studied', 'by', 'numerical', 'simulations', 'with', 'four', 'spins', 'we', 'determine', 'the', 'temporal', 'behaviour', 'of', 'the', 'fidelity', 'during', 'the', 'algorithm', 'and', 'we', 'compute', 'the', 'final', 'fidelity', 'as', 'a', 'function', 'of', 'the', 'rabi', 'frequency', 'for', 'the', 'latter', 'we', 'obtained', 'pronounced', 'maxima', 'at', 'frequencies', 'which', 'fulfil', 'the', 'condition', 'of', 'the', '2pi', 'kmethod', 'with', 'respect', 'to', 'the', 'second', 'nearest', 'neighbour', 'interactions']] | [-0.1447664139034984, 0.10790323547937059, -0.02924523453591494, 0.0793484678801538, -0.023805619309564215, -0.15159397295440782, 0.07686465507332277, 0.3984040707800087, -0.23644786701629777, -0.29396568604931744, 0.06198724181196847, -0.25932503092501846, -0.11484148887569433, 0.17494783780517076, 0.08768254348619299, 0.015254566507352577, 0.0599411964713299, 0.08296569158415218, -0.08877820180278721, -0.2600102842335108, 0.24467628716812903, 0.06737865421890311, 0.23093118774448776, 0.0025068350177217314, 0.11140212797877061, 0.07448845102891817, 0.03253513142712169, -0.009796723390796356, -0.1364814510497336, 0.07028203101695649, 0.17532058412229623, 0.06552530953578733, 0.26775624848656604, -0.4068072389729403, -0.10859877466746085, 0.12285301565182405, 0.11477741843427193, 0.15087315485848543, -0.005790337199949056, -0.32676054291672757, 0.04321899575150603, -0.14582625698748525, -0.10583102625825412, -0.08166938534410732, -0.0062167891301214695, 0.026766367502264923, -0.2787472989552803, 0.07666569307528354, 0.06427288849602689, 0.03792990122891062, -0.030599982170695133, -0.07973903462618262, 0.005325950677046082, 0.14729230565269694, -0.004888909605362422, 0.03640213702897449, 0.11232660134875594, -0.10529986410759963, -0.17732417035929776, 0.38173432888688297, -0.04534330134085574, -0.1465043270561312, 0.16726771827562006, -0.1503725639892394, -0.12320025752370174, 0.10415828137423147, 0.17004536271893553, 0.08195394124057921, -0.12884641852572684, 0.07554656245034434, 0.04801927425560879, 0.17436055893815317, 0.021446309180336666, 0.0353196711448318, 0.19499650530281712, 0.16396444000221871, 0.06525271614900903, 0.2060681486113386, -0.13073659363198914, -0.18881861614779785, -0.25763343495654534, -0.1461288091102308, -0.27042156018337216, 0.015548070253046987, -0.1222062605829106, -0.1156554751425654, 0.45784395124640437, 0.14681254226074447, 0.19351691691266312, 0.07022768081099327, 0.3024154586389988, 0.12578029912041888, 0.07367910152546815, 0.06375012641828917, 0.2378719206592375, 0.15318566588889604, 0.05281230018750488, -0.31525880410553436, 0.033228921033646705, 0.1293007320590742] |
710.3197 | Orientational relaxation in a dispersive dynamic medium : Generalization
of the Kubo-Ivanov-Anderson jump diffusion model to include fractional
environmental dynamics | Ivanov-Anderson (IA) model (and an earlier treatment by Kubo) envisages a
decay of the orientational correlation by random but large amplitude molecular
jumps, as opposed to infinitesimal small jumps assumed in Brownian diffusion.
Recent computer simulation studies on water and supercooled liquids have shown
that large amplitude motions may indeed be more of a rule than exception.
Existing theoretical studies on jump diffusion mostly assume an exponential
(Poissonian) waiting time distribution for jumps, thereby again leading to an
exponential decay. Here we extend the existing formalism of Ivanov and Anderson
to include an algebraic waiting time distribution between two jumps. As a
result, the first and second rank orientational time correlation functions show
the same long time power law, but their short time decay behavior is quite
different. The predicted Cole-Cole plot of dielectric relaxation reproduces
various features of non-Debye behaviour observed experimentally. We also
developed a theory where both unrestricted small jumps and large angular jumps
coexist simultaneously. The small jumps are shown to have a large effect on the
long time decay, particularly in mitigating the effects of algebraic waiting
time distribution, and in giving rise to an exponential-like decay, with a time
constant, surprisingly, less than the time constant that arises from small
amplitude decay alone.
| cond-mat.soft | ivanovanderson ia model and an earlier treatment by kubo envisages a decay of the orientational correlation by random but large amplitude molecular jumps as opposed to infinitesimal small jumps assumed in brownian diffusion recent computer simulation studies on water and supercooled liquids have shown that large amplitude motions may indeed be more of a rule than exception existing theoretical studies on jump diffusion mostly assume an exponential poissonian waiting time distribution for jumps thereby again leading to an exponential decay here we extend the existing formalism of ivanov and anderson to include an algebraic waiting time distribution between two jumps as a result the first and second rank orientational time correlation functions show the same long time power law but their short time decay behavior is quite different the predicted colecole plot of dielectric relaxation reproduces various features of nondebye behaviour observed experimentally we also developed a theory where both unrestricted small jumps and large angular jumps coexist simultaneously the small jumps are shown to have a large effect on the long time decay particularly in mitigating the effects of algebraic waiting time distribution and in giving rise to an exponentiallike decay with a time constant surprisingly less than the time constant that arises from small amplitude decay alone | [['ivanovanderson', 'ia', 'model', 'and', 'an', 'earlier', 'treatment', 'by', 'kubo', 'envisages', 'a', 'decay', 'of', 'the', 'orientational', 'correlation', 'by', 'random', 'but', 'large', 'amplitude', 'molecular', 'jumps', 'as', 'opposed', 'to', 'infinitesimal', 'small', 'jumps', 'assumed', 'in', 'brownian', 'diffusion', 'recent', 'computer', 'simulation', 'studies', 'on', 'water', 'and', 'supercooled', 'liquids', 'have', 'shown', 'that', 'large', 'amplitude', 'motions', 'may', 'indeed', 'be', 'more', 'of', 'a', 'rule', 'than', 'exception', 'existing', 'theoretical', 'studies', 'on', 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'shown', 'to', 'have', 'a', 'large', 'effect', 'on', 'the', 'long', 'time', 'decay', 'particularly', 'in', 'mitigating', 'the', 'effects', 'of', 'algebraic', 'waiting', 'time', 'distribution', 'and', 'in', 'giving', 'rise', 'to', 'an', 'exponentiallike', 'decay', 'with', 'a', 'time', 'constant', 'surprisingly', 'less', 'than', 'the', 'time', 'constant', 'that', 'arises', 'from', 'small', 'amplitude', 'decay', 'alone']] | [-0.12910569220604465, 0.2012432085285372, -0.12139290747179005, 0.11631669324672728, -0.056368562067571196, -0.1659681529361898, 0.03778715175520539, 0.3602079893395197, -0.28450098807493657, -0.2678990691156986, 0.07135844229364571, -0.2716238796016954, -0.11181527747808453, 0.17943020472459745, 0.002178526557355116, 0.06356141782620958, -0.005074732191412925, -0.007628226310211735, -0.03817848155113797, -0.2269528071863953, 0.2127329378361957, 0.05507411670539743, 0.2703488777064754, 0.036433011501615584, 0.06624506047452226, -0.01723405041355783, 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710.3198 | Equation of State and Transport Coefficients of Relativistic Nuclear
Matter | In order to evaluate qualitatively the space-time evolution of hot and dense
nuclear matter the underlying equation of state and transport coefficients must
be known. In this study a specific equation of state is studied: the pion gas.
The classical or standard transport coefficients, namely the bulk viscosity,
shear viscsoity and thermal conductivity are devided by the relaxation times
for the corresponding dissipative fluxes and then studied as functions of mass
to temperature ratio.
| nucl-th | in order to evaluate qualitatively the spacetime evolution of hot and dense nuclear matter the underlying equation of state and transport coefficients must be known in this study a specific equation of state is studied the pion gas the classical or standard transport coefficients namely the bulk viscosity shear viscsoity and thermal conductivity are devided by the relaxation times for the corresponding dissipative fluxes and then studied as functions of mass to temperature ratio | [['in', 'order', 'to', 'evaluate', 'qualitatively', 'the', 'spacetime', 'evolution', 'of', 'hot', 'and', 'dense', 'nuclear', 'matter', 'the', 'underlying', 'equation', 'of', 'state', 'and', 'transport', 'coefficients', 'must', 'be', 'known', 'in', 'this', 'study', 'a', 'specific', 'equation', 'of', 'state', 'is', 'studied', 'the', 'pion', 'gas', 'the', 'classical', 'or', 'standard', 'transport', 'coefficients', 'namely', 'the', 'bulk', 'viscosity', 'shear', 'viscsoity', 'and', 'thermal', 'conductivity', 'are', 'devided', 'by', 'the', 'relaxation', 'times', 'for', 'the', 'corresponding', 'dissipative', 'fluxes', 'and', 'then', 'studied', 'as', 'functions', 'of', 'mass', 'to', 'temperature', 'ratio']] | [-0.1038945549851832, 0.18610690569039434, -0.08166941357393788, 0.047548498058921265, -0.020494724030619207, -0.06885513163822359, -0.022901596080460777, 0.3032540916784169, -0.2958272575107339, -0.25656946303246364, 0.10415493931512872, -0.2749622831605885, -0.04008261721632252, 0.141442418197323, 0.03710859381172755, 0.08761759106809758, -0.02549758853792685, 0.042720853083141865, -0.09977610120932533, -0.20427850048274618, 0.33920185042111434, 0.041482357639972475, 0.24705580763569843, 0.08733377454496205, 0.08841578643258712, -0.039171324538909, -0.018602883455994194, 0.04497304083524297, -0.19550158324562114, 0.008581833161209544, 0.19846559137310069, -0.01627804638103467, 0.14723125905155726, -0.42694273062866844, -0.2671044282104871, 0.0698265831818651, 0.10969557726679191, 0.07218406909489877, -0.01348192106983433, -0.21342688407238625, 0.031142707646199284, -0.1536791852853988, -0.14470823236728367, -0.09092417833305998, 0.03274765211374384, 0.020629156141682235, -0.26021343260391117, 0.20998889117259278, 0.017704018206680067, -0.044460251429819894, -0.11743828734982606, -0.15093587124592636, -0.05774508919949605, 0.0809263411163008, 0.07400599171484068, 0.021776876035975674, 0.20625595500922367, -0.19686234800361516, -0.06389930247877763, 0.42117205847769157, -0.10125063387326233, -0.17825869955632784, 0.21613788687024418, -0.1817008367969259, -0.05030500936666376, 0.13760547232750345, 0.18269228968412093, 0.1131126484897447, -0.22329282234996967, 0.06317211643390817, -0.028966268971052072, 0.14201181423722778, 0.05761358742155645, 0.04307062583273812, 0.20164145339178305, 0.1467104298509147, -0.010141915067622107, 0.12187038750980968, -0.06313002075719303, -0.1236067141903794, -0.2557085442216429, -0.17473616451981847, -0.17496099243776184, 0.10886941369214695, -0.09953776371827962, -0.14641080997654632, 0.3767094873402217, 0.0952880997587496, 0.19793616224890448, -0.005858320998002405, 0.30344812189267106, 0.17905670705359839, 0.01456885629218735, 0.12144963594459712, 0.24796811565246485, 0.21203533144450862, 0.1299968765767878, -0.328918093560289, 0.04592921741447118, 0.08203272845545044] |
710.3199 | Pion dominance in RPV SUSY induced neutrinoless double beta decay | At the quark level there are basically two types of contributions of R-parity
violating SUSY (RPV SUSY) to neutrinoless double beta decay: the short-range
contribution involving only heavy virtual superpartners and the long-range one
with the virtual squark and neutrino. Hadronization of the effective operators,
corresponding to these two types of contributions, may in general involve
virtual pions in addition to the close on-mass-shell nucleons. It is known that
the short-range contribution is dominated by the pion exchange. In the present
paper we show that this is also true for the long-range RPV SUSY contribution
and, therefore, the RPV SUSY contributes to the neutrinoless double beta decay
dominantly via charged pion exchange between the decaying nucleons.
| hep-ph | at the quark level there are basically two types of contributions of rparity violating susy rpv susy to neutrinoless double beta decay the shortrange contribution involving only heavy virtual superpartners and the longrange one with the virtual squark and neutrino hadronization of the effective operators corresponding to these two types of contributions may in general involve virtual pions in addition to the close onmassshell nucleons it is known that the shortrange contribution is dominated by the pion exchange in the present paper we show that this is also true for the longrange rpv susy contribution and therefore the rpv susy contributes to the neutrinoless double beta decay dominantly via charged pion exchange between the decaying nucleons | [['at', 'the', 'quark', 'level', 'there', 'are', 'basically', 'two', 'types', 'of', 'contributions', 'of', 'rparity', 'violating', 'susy', 'rpv', 'susy', 'to', 'neutrinoless', 'double', 'beta', 'decay', 'the', 'shortrange', 'contribution', 'involving', 'only', 'heavy', 'virtual', 'superpartners', 'and', 'the', 'longrange', 'one', 'with', 'the', 'virtual', 'squark', 'and', 'neutrino', 'hadronization', 'of', 'the', 'effective', 'operators', 'corresponding', 'to', 'these', 'two', 'types', 'of', 'contributions', 'may', 'in', 'general', 'involve', 'virtual', 'pions', 'in', 'addition', 'to', 'the', 'close', 'onmassshell', 'nucleons', 'it', 'is', 'known', 'that', 'the', 'shortrange', 'contribution', 'is', 'dominated', 'by', 'the', 'pion', 'exchange', 'in', 'the', 'present', 'paper', 'we', 'show', 'that', 'this', 'is', 'also', 'true', 'for', 'the', 'longrange', 'rpv', 'susy', 'contribution', 'and', 'therefore', 'the', 'rpv', 'susy', 'contributes', 'to', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'dominantly', 'via', 'charged', 'pion', 'exchange', 'between', 'the', 'decaying', 'nucleons']] | [-0.08798933345302619, 0.36866258870276364, -0.007925686085243421, 0.24310701407275387, -0.053563131740043776, -0.16753602541726212, 0.03774766585141559, 0.28233393653424393, -0.23543220358611694, -0.23830286035884235, -0.06919993626672358, -0.3502113700940691, -0.05107853017391884, 0.09967628927853216, 0.10691973848412906, -0.002221497437105803, 0.032029560080665195, 0.007763728579698965, -0.03301597016879582, -0.23865368275437504, 0.3674732760590469, -0.003275549809994369, 0.15597018810964575, 0.18594654576033995, -0.01831476257086314, 0.030567359572661847, -0.055411464462442134, -0.1441759988705724, -0.06835674624230235, 0.10068783598775365, 0.19426449673031537, 0.015108435390645573, 0.08575715648877466, -0.36726127100851513, -0.07382146310029102, 0.1902138122431693, 0.18206248352111415, 0.07256917275311746, -0.0686640354347062, -0.2940002981541229, 0.08091330200690648, -0.25355787697280274, -0.0912977083594185, -0.09917251516840067, -0.0379834508860548, -0.0716693719431501, -0.3506950811675653, 0.11205286562396614, -0.011722968204814041, -0.05955572896797595, 0.011516104087008741, -0.20941663428976456, -0.008684789500970009, 0.07402278118413584, 0.2300136422453416, -0.01229529844166446, 0.1760162631519428, -0.18432073083561684, -0.15934748750115776, 0.4037679138368574, -0.043686969970465346, -0.19246099633967567, 0.17405808614245777, -0.15835445172330043, -0.18823194100244517, 0.18742364387686267, 0.15933483007267632, 0.05121959905302682, -0.2067286278490491, 0.19033963147576916, 0.0032473718516673124, 0.17643437613251395, 0.0679955763696163, 0.07697835183905133, 0.24063666331870803, 0.19092379410044644, 0.03597238665478754, 0.06053966577445831, -0.05806170207481422, -0.1268540484156331, -0.45386619923700544, -0.12319956283920028, -0.09132414949046255, 0.0468601250202106, -0.04728098321218818, -0.14375336247030646, 0.38165753941726066, 0.06999790234238326, 0.1706924656755291, 0.007786168892474459, 0.3132941887537339, 0.06250223863703311, 0.12283691879088894, 0.01159139419102977, 0.33582595004780413, 0.11458491192175203, 0.15318664666144818, -0.291190021374295, 0.0009391459411588209, 0.11275174288914122] |
710.32 | Ultrafast response of surface electromagnetic waves in an aluminum film
perforated with subwavelength hole arrays | The ultrafast dynamics of surface electromagnetic waves photogenerated on
aluminum film perforated with subwavelength holes array was studied in the
visible spectral range by the technique of transient photomodulation with 100
fs time resolution. We observed a pronounced blueshift of the resonant
transmission band that reveals the important role of plasma attenuation in the
optical response of nanohole arrays. The blueshift is inconsistent with
plasmonic mechanism of extraordinary transmission and points to the crucial
role of interference in the formation of transmission bands. The transient
photomodulation spectra were successfully modeled within the Boltzmann equation
approach for the electron-phonon relaxation dynamics, involving non-equilibrium
hot electrons and quasi-equilibrium phonons.
| cond-mat.mtrl-sci cond-mat.mes-hall | the ultrafast dynamics of surface electromagnetic waves photogenerated on aluminum film perforated with subwavelength holes array was studied in the visible spectral range by the technique of transient photomodulation with 100 fs time resolution we observed a pronounced blueshift of the resonant transmission band that reveals the important role of plasma attenuation in the optical response of nanohole arrays the blueshift is inconsistent with plasmonic mechanism of extraordinary transmission and points to the crucial role of interference in the formation of transmission bands the transient photomodulation spectra were successfully modeled within the boltzmann equation approach for the electronphonon relaxation dynamics involving nonequilibrium hot electrons and quasiequilibrium phonons | [['the', 'ultrafast', 'dynamics', 'of', 'surface', 'electromagnetic', 'waves', 'photogenerated', 'on', 'aluminum', 'film', 'perforated', 'with', 'subwavelength', 'holes', 'array', 'was', 'studied', 'in', 'the', 'visible', 'spectral', 'range', 'by', 'the', 'technique', 'of', 'transient', 'photomodulation', 'with', '100', 'fs', 'time', 'resolution', 'we', 'observed', 'a', 'pronounced', 'blueshift', 'of', 'the', 'resonant', 'transmission', 'band', 'that', 'reveals', 'the', 'important', 'role', 'of', 'plasma', 'attenuation', 'in', 'the', 'optical', 'response', 'of', 'nanohole', 'arrays', 'the', 'blueshift', 'is', 'inconsistent', 'with', 'plasmonic', 'mechanism', 'of', 'extraordinary', 'transmission', 'and', 'points', 'to', 'the', 'crucial', 'role', 'of', 'interference', 'in', 'the', 'formation', 'of', 'transmission', 'bands', 'the', 'transient', 'photomodulation', 'spectra', 'were', 'successfully', 'modeled', 'within', 'the', 'boltzmann', 'equation', 'approach', 'for', 'the', 'electronphonon', 'relaxation', 'dynamics', 'involving', 'nonequilibrium', 'hot', 'electrons', 'and', 'quasiequilibrium', 'phonons']] | [-0.16859628830461929, 0.1623687355694248, -0.0425203472166975, 0.02929088115261293, -0.015636403670656347, -0.1271074593772189, 0.021603836509329486, 0.4527828388403509, -0.24961358717877732, -0.3022147963720017, 0.009557219066604903, -0.3085927859766879, -0.13082119845132403, 0.19589153328196746, 0.04933599098672586, 0.07486662199170216, 0.019997599238756103, -0.10892164368165012, 0.02335890614270955, -0.1268423700968465, 0.2659038774077302, 0.10878546305830922, 0.3297667937161766, 0.08730356891804905, 0.05691484176928056, 0.059539832812886266, 0.028008305598224436, -0.017462229859366768, -0.12679383571325772, 0.06217884554344917, 0.26957588967492924, -0.06223176001945389, 0.23345781244755348, -0.4843743636890828, -0.29626110910707826, -0.03620664032054282, 0.17424538063329306, 0.0990193598668709, -0.0702080804926439, -0.2359017114041843, -0.0043395825391896415, -0.07555646271766903, -0.1517322287094022, 0.03365953242140778, 0.01203907697209131, 0.03161626827041401, -0.20756370445036668, 0.1321582078028505, 0.028456307229559833, 0.03145524079935347, -0.10982880144266882, -0.028581635573896293, -0.06209499093869301, 0.04165271927698332, 0.015288831022019698, -0.04026934552815891, 0.17566813344449222, -0.08181525300317835, -0.07515208076720482, 0.3740301295890795, -0.1046390036778159, -0.02017740222895257, 0.16330839652637733, -0.2464531823322525, 0.019519184302608263, 0.2883526339526419, 0.16196135761951766, 0.12138064259611, -0.14658160537272413, 0.01716742481031046, 0.003292331985572231, 0.18835484052825474, 0.14188628513409504, 0.1489383689025591, 0.2884832994629429, 0.2541847492907649, -0.04570487579853039, 0.11865431267907407, -0.18517340565857557, -0.0028169819232180854, -0.2107819619928008, -0.09700110683513578, -0.20143961583951783, 0.08114722328669627, -0.07341662188189509, -0.1799025060783062, 0.4227843748005194, 0.09160895905376926, 0.12024752425343216, -0.058122572900344414, 0.27789850084935386, 0.14417713179871022, 0.062322780415938, 0.03202082194544584, 0.29179240623543423, 0.1915594636284198, 0.1576152459204754, -0.35574295426170544, 0.021861825843350353, -0.023540587118765877] |
710.3201 | Energy-dependent Lorentz covariant parameterization of the NN
interaction between 50 and 200 MeV | For laboratory kinetic energies between 50 and 200 MeV, we focus on
generating an energy-dependent Lorentz covariant parameterization of the
on-shell nucleon-nucleon (NN) scattering amplitudes in terms of a number of
Yukawa-type meson exchanges in first-order Born approximation. This
parameterization provides a good description of NN scattering observables in
the energy range of interest, and can also be extrapolated to energies between
40 and 300 MeV.
| nucl-th | for laboratory kinetic energies between 50 and 200 mev we focus on generating an energydependent lorentz covariant parameterization of the onshell nucleonnucleon nn scattering amplitudes in terms of a number of yukawatype meson exchanges in firstorder born approximation this parameterization provides a good description of nn scattering observables in the energy range of interest and can also be extrapolated to energies between 40 and 300 mev | [['for', 'laboratory', 'kinetic', 'energies', 'between', '50', 'and', '200', 'mev', 'we', 'focus', 'on', 'generating', 'an', 'energydependent', 'lorentz', 'covariant', 'parameterization', 'of', 'the', 'onshell', 'nucleonnucleon', 'nn', 'scattering', 'amplitudes', 'in', 'terms', 'of', 'a', 'number', 'of', 'yukawatype', 'meson', 'exchanges', 'in', 'firstorder', 'born', 'approximation', 'this', 'parameterization', 'provides', 'a', 'good', 'description', 'of', 'nn', 'scattering', 'observables', 'in', 'the', 'energy', 'range', 'of', 'interest', 'and', 'can', 'also', 'be', 'extrapolated', 'to', 'energies', 'between', '40', 'and', '300', 'mev']] | [-0.11514452533006217, 0.24192793402934595, -0.09654940621729827, 0.16453855396354233, -0.021697461757646648, -0.05848636545389044, 0.059399042701856655, 0.3680721241980791, -0.18690951107154516, -0.3605012665784946, -0.13313677903285928, -0.3164684101233654, -0.005249371244148774, 0.18615231352547804, 0.1295986732425676, 0.036827300251884895, 0.066231502925582, 0.074905596024385, -0.12287298184607855, -0.1423826186466172, 0.26088202885831846, 0.09504482316587007, 0.19312072689221663, 0.20755764032064966, 0.07100047305169882, 0.09749596935315905, 0.014305558394302021, -0.07203721673453622, -0.11523834043129516, 0.09035653355672504, 0.2968843563770254, 0.011354033277849809, 0.13330146898938852, -0.4082208267892852, -0.15334444208014192, 0.08965381646923946, 0.11773342561597626, 0.10550454612750786, -0.013666192318355157, -0.25579305170950567, 0.022700447504493324, -0.25031789310389396, -0.15731315342991642, -0.11927424079145897, 0.03234904430891303, -0.002772027372636578, -0.29119290551876253, 0.1001974371659647, -0.05760170477019115, 0.06289249907642828, -0.10788912400885513, -0.17051118699777307, 0.039631450132495076, -0.0035204696680673146, 0.06943195852253473, 0.10982769082836581, 0.12189737888702164, -0.13944879032770227, -0.0510001437682094, 0.4193693666373182, -0.0614387070597855, -0.1490494306340362, 0.14428182257424024, -0.1165187161796811, -0.0982762780463831, 0.20240145039772897, 0.1998201971026984, 0.058676135980270126, -0.24179369322673389, 0.12238567845744194, 0.014915050367232074, 0.16389224386181345, 0.15655595498780409, 0.04549784199193572, 0.12869663055365285, 0.16760805105282503, -0.04343785540285436, 0.025787685328396037, -0.12119851270196677, -0.11056079939148869, -0.4052731695048737, -0.05056920949595444, -0.12328686007778301, 0.09371847373602743, -0.14895284532813644, -0.0703769404243565, 0.3677479571549956, 0.10082907536575063, 0.24395320361310785, 0.050417841144019, 0.25721011504841346, 0.13471803338633795, 0.07146983576063631, 0.06219067051301174, 0.3209396766526907, 0.20092141518199985, 0.10223035594610723, -0.19626614378031457, -0.04262455537999896, 0.06902227140116421] |
710.3202 | The Eccentric Accretion Disc of the Black Hole A0620-00 | We present spectroscopic observations of the quiescent black hole binary
A0620-00 with the the 6.5-m Magellan Clay telescope at Las Campanas
Observatory. We measure absorption-line radial velocities of the secondary and
make the most precise determination to date (K2 = 435.4 +/- 0.5 km/s). By
fitting the rotational broadening of the secondary, we refine the mass ratio to
q = 0.060 +/- 0.004; these results, combined with the orbital period, imply a
minimum mass for the compact object of 3.10 +/- 0.04 Msun. Although quiescence
implies little accretion activity, we find that the disc contributes 56 +/- 7
per cent of the light in B and V, and is subject to significant flickering.
Doppler maps of the Balmer lines reveal bright emission from the gas
stream-disc impact point and unusual crescent-shaped features. We also find
that the disc centre of symmetry does not coincide with the predicted black
hole velocity. By comparison with SPH simulations, we identify this source with
an eccentric disc. With high S/N, we pursue modulation tomography of H-alpha
and find that the aforementioned bright regions are strongly modulated at the
orbital period. We interpret this modulation in the context of disc precession,
and discuss cases for the accretion disc evolution.
| astro-ph | we present spectroscopic observations of the quiescent black hole binary a062000 with the the 65m magellan clay telescope at las campanas observatory we measure absorptionline radial velocities of the secondary and make the most precise determination to date k2 4354 05 kms by fitting the rotational broadening of the secondary we refine the mass ratio to q 0060 0004 these results combined with the orbital period imply a minimum mass for the compact object of 310 004 msun although quiescence implies little accretion activity we find that the disc contributes 56 7 per cent of the light in b and v and is subject to significant flickering doppler maps of the balmer lines reveal bright emission from the gas streamdisc impact point and unusual crescentshaped features we also find that the disc centre of symmetry does not coincide with the predicted black hole velocity by comparison with sph simulations we identify this source with an eccentric disc with high sn we pursue modulation tomography of halpha and find that the aforementioned bright regions are strongly modulated at the orbital period we interpret this modulation in the context of disc precession and discuss cases for the accretion disc evolution | [['we', 'present', 'spectroscopic', 'observations', 'of', 'the', 'quiescent', 'black', 'hole', 'binary', 'a062000', 'with', 'the', 'the', '65m', 'magellan', 'clay', 'telescope', 'at', 'las', 'campanas', 'observatory', 'we', 'measure', 'absorptionline', 'radial', 'velocities', 'of', 'the', 'secondary', 'and', 'make', 'the', 'most', 'precise', 'determination', 'to', 'date', 'k2', '4354', '05', 'kms', 'by', 'fitting', 'the', 'rotational', 'broadening', 'of', 'the', 'secondary', 'we', 'refine', 'the', 'mass', 'ratio', 'to', 'q', '0060', '0004', 'these', 'results', 'combined', 'with', 'the', 'orbital', 'period', 'imply', 'a', 'minimum', 'mass', 'for', 'the', 'compact', 'object', 'of', '310', '004', 'msun', 'although', 'quiescence', 'implies', 'little', 'accretion', 'activity', 'we', 'find', 'that', 'the', 'disc', 'contributes', '56', '7', 'per', 'cent', 'of', 'the', 'light', 'in', 'b', 'and', 'v', 'and', 'is', 'subject', 'to', 'significant', 'flickering', 'doppler', 'maps', 'of', 'the', 'balmer', 'lines', 'reveal', 'bright', 'emission', 'from', 'the', 'gas', 'streamdisc', 'impact', 'point', 'and', 'unusual', 'crescentshaped', 'features', 'we', 'also', 'find', 'that', 'the', 'disc', 'centre', 'of', 'symmetry', 'does', 'not', 'coincide', 'with', 'the', 'predicted', 'black', 'hole', 'velocity', 'by', 'comparison', 'with', 'sph', 'simulations', 'we', 'identify', 'this', 'source', 'with', 'an', 'eccentric', 'disc', 'with', 'high', 'sn', 'we', 'pursue', 'modulation', 'tomography', 'of', 'halpha', 'and', 'find', 'that', 'the', 'aforementioned', 'bright', 'regions', 'are', 'strongly', 'modulated', 'at', 'the', 'orbital', 'period', 'we', 'interpret', 'this', 'modulation', 'in', 'the', 'context', 'of', 'disc', 'precession', 'and', 'discuss', 'cases', 'for', 'the', 'accretion', 'disc', 'evolution']] | [-0.11095109518273465, 0.10710013204505064, -0.059552937411575524, 0.0753346942908835, -0.09659667997171885, -0.10786301856104115, 0.04751361965740733, 0.4258835026226125, -0.16791195335010833, -0.356708515217991, 0.07384103324458116, -0.2995141320554587, -0.045165203965557406, 0.20112278698919916, -0.07033001906640336, -0.027396117196995102, 0.10171597316946249, -0.07401295744360137, -0.08765788202712946, -0.2351763761824462, 0.28782255828928976, 0.08077631980478575, 0.13057762168130368, -0.020564912938924155, 0.0605346981836672, -0.04423069649790815, -0.07053999980671691, -0.060478356818670094, -0.20760514763437848, 0.04136529591331627, 0.1797194582122664, 0.10122918207251566, 0.17861960868961013, -0.317813423991695, -0.18589782215144277, 0.03365397276498642, 0.16661206782951496, 0.04687584861746616, -0.05560349551298972, -0.23731985687914064, 0.0557058289969756, -0.19156664848649108, -0.1867889771379795, 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710.3203 | Non-Relativistic Superstring Theories | We construct a supersymmetric version of the ``critical'' non-relativistic
bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We
introduce the anticommuting $bc$ CFT which is the super partner of the
$\beta\gamma$ CFT. The conformal weights of the $b$ and $c$ fields are both
1/2. The action of the fermionic sector can be transformed into that of the
relativistic superstring theory. We explicitly quantize the theory with
manifest SO(8) symmetry and find that the spectrum is similar to that of Type
IIB superstring theory. There is one notable difference: the fermions are
non-chiral. We further consider ``noncritical'' generalizations of the
supersymmetric theory using the superspace formulation. There is an infinite
range of possible string theories similar to the supercritical string theories.
We comment on the connection between the critical non-relativistic string
theory and the lightlike Linear Dilaton theory.
| hep-th | we construct a supersymmetric version of the critical nonrelativistic bosonic string theorycitekim2007hb with its manifest global symmetry we introduce the anticommuting bc cft which is the super partner of the betagamma cft the conformal weights of the b and c fields are both 12 the action of the fermionic sector can be transformed into that of the relativistic superstring theory we explicitly quantize the theory with manifest so8 symmetry and find that the spectrum is similar to that of type iib superstring theory there is one notable difference the fermions are nonchiral we further consider noncritical generalizations of the supersymmetric theory using the superspace formulation there is an infinite range of possible string theories similar to the supercritical string theories we comment on the connection between the critical nonrelativistic string theory and the lightlike linear dilaton theory | [['we', 'construct', 'a', 'supersymmetric', 'version', 'of', 'the', 'critical', 'nonrelativistic', 'bosonic', 'string', 'theorycitekim2007hb', 'with', 'its', 'manifest', 'global', 'symmetry', 'we', 'introduce', 'the', 'anticommuting', 'bc', 'cft', 'which', 'is', 'the', 'super', 'partner', 'of', 'the', 'betagamma', 'cft', 'the', 'conformal', 'weights', 'of', 'the', 'b', 'and', 'c', 'fields', 'are', 'both', '12', 'the', 'action', 'of', 'the', 'fermionic', 'sector', 'can', 'be', 'transformed', 'into', 'that', 'of', 'the', 'relativistic', 'superstring', 'theory', 'we', 'explicitly', 'quantize', 'the', 'theory', 'with', 'manifest', 'so8', 'symmetry', 'and', 'find', 'that', 'the', 'spectrum', 'is', 'similar', 'to', 'that', 'of', 'type', 'iib', 'superstring', 'theory', 'there', 'is', 'one', 'notable', 'difference', 'the', 'fermions', 'are', 'nonchiral', 'we', 'further', 'consider', 'noncritical', 'generalizations', 'of', 'the', 'supersymmetric', 'theory', 'using', 'the', 'superspace', 'formulation', 'there', 'is', 'an', 'infinite', 'range', 'of', 'possible', 'string', 'theories', 'similar', 'to', 'the', 'supercritical', 'string', 'theories', 'we', 'comment', 'on', 'the', 'connection', 'between', 'the', 'critical', 'nonrelativistic', 'string', 'theory', 'and', 'the', 'lightlike', 'linear', 'dilaton', 'theory']] | [-0.14289032787029796, 0.2100546007115875, -0.07206350874142065, 0.11116222939659458, -0.08146126597078845, -0.19492797050214208, -0.02337672101052971, 0.29823091390597467, -0.19512265871419324, -0.20339906907311694, 0.05294683238710551, -0.3045730575617841, -0.1943243774414227, 0.07139419000732768, -0.03469736108972404, 0.01437596349441104, -0.03221167391166091, 0.11869378683759886, -0.15041894660380956, -0.2679006683140281, 0.33794341352083446, -0.01318606044343837, 0.26831712023361914, 0.037117869641138786, 0.08862898002617466, 0.02490500429634909, 0.022939817370463383, -0.01487014491645181, -0.11025057351167454, 0.15164751163084636, 0.1984368779213743, 0.11267743101138074, 0.10040104043368689, -0.45348627955022763, -0.21869652900290126, 0.094722230655059, 0.15967490966774195, 0.1540348969420473, 0.012115968963959911, -0.27308296965202317, 0.06698046826236617, -0.19441564491374747, -0.16340141248827636, -0.07926136238829178, 0.00023202923715443294, -0.11375390333705582, -0.1976002919888261, 0.08998456076947417, 0.0032671582653967884, 0.03426746026311508, -0.06473390487072346, -0.04675788953917457, -0.08567367701599483, 0.06379706220126108, 0.1427353342048317, 0.10179176945444744, 0.09418360532692853, -0.20543463936294704, -0.1600867663308985, 0.39717018413905275, -0.06939810432103354, -0.21914419820806122, 0.15877810536938555, -0.1227165633086663, -0.1959981582904755, 0.038140793365207225, 0.060257657948087025, 0.13433346624814851, -0.1061106993652442, 0.256158761713082, -0.0872668639263686, 0.11490080563817173, 0.07806151651996462, 0.06814114185159698, 0.27594796335324645, 0.07509084362262751, 0.023729704919627264, 0.14529935713867684, -0.02009086599719012, -0.16258025023553807, -0.4720864566590856, -0.12843246172483572, -0.09691352033405565, 0.11075718742658329, -0.14666889027167224, -0.18757181405089796, 0.36344939134398696, 0.1272654404519391, 0.1382656089228797, 0.05840682986223221, 0.1435924639192629, 0.18029366813682238, 0.07561536621506093, 0.04541734921033768, 0.24123989750617458, 0.19714632509824107, 0.0625410655664061, -0.26696961345698905, -0.18467288081849212, 0.18837631910162814] |
710.3204 | Computational Model for Electron-Nucleon Scattering and Weak Charge of
the Nucleon | We show how computational symbolic packages such as FeynArts and FormCalc can
be adopted for the evaluation of one-loop hadronic electroweak radiative
corrections for electron-nucleon scattering and applied to calculations of the
nucleon weak charge. Several numerical results are listed, and found to be in
good agreement with the current experimental data.
| physics.comp-ph nucl-ex nucl-th | we show how computational symbolic packages such as feynarts and formcalc can be adopted for the evaluation of oneloop hadronic electroweak radiative corrections for electronnucleon scattering and applied to calculations of the nucleon weak charge several numerical results are listed and found to be in good agreement with the current experimental data | [['we', 'show', 'how', 'computational', 'symbolic', 'packages', 'such', 'as', 'feynarts', 'and', 'formcalc', 'can', 'be', 'adopted', 'for', 'the', 'evaluation', 'of', 'oneloop', 'hadronic', 'electroweak', 'radiative', 'corrections', 'for', 'electronnucleon', 'scattering', 'and', 'applied', 'to', 'calculations', 'of', 'the', 'nucleon', 'weak', 'charge', 'several', 'numerical', 'results', 'are', 'listed', 'and', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'current', 'experimental', 'data']] | [-0.0210217561510105, 0.09980243099674296, -0.04941522137960419, 0.17742637371142897, -0.05843104500896656, -0.0987857853134091, 0.0025996272634074558, 0.39557132440117687, -0.20360624856458834, -0.31587400790662146, 0.04794748974381946, -0.3193590513502176, -0.05962547688530041, 0.2572133940993808, 0.061136320421400554, 0.1546688839309634, 0.12270631732490773, -0.016573715417717513, -0.07492167019070341, -0.23098270122696143, 0.27109417566456473, 0.07542997674765782, 0.18683589557902172, 0.19573590417320913, -0.008695482990543287, -0.02302208118355618, -0.08705016785265449, 0.00553269383425896, -0.12836912437342107, 0.09888769227724808, 0.32564982370688367, 0.0826475858160008, 0.10149181789109626, -0.4737787912241541, -0.12099394406406926, 0.03505712675485903, 0.14520788699603424, 0.1722500017987421, -0.07010985857162338, -0.2720182063953521, 0.10108836905027811, -0.2677183228437431, -0.09137450724553603, -0.23676368951475105, -0.05465891842658703, 0.02625335486104282, -0.34439036486527097, 0.023213410875401817, -0.08418688045528072, 0.03796645710924797, -0.020602229418447957, -0.2169323883091028, -0.058030806840039216, 0.12150914770049545, 0.11090457571956974, 0.0787123008004318, 0.15646667388948396, -0.1527243140153587, -0.18498780524644715, 0.4448453881419622, -0.06733930913301614, -0.18139202559653383, 0.13981393348568907, -0.12334742740942882, -0.15740280507956272, 0.1216264126302961, 0.14362179056311455, 0.03197042949390239, -0.15841290782778883, 0.11511521512091769, 0.004827278200536966, 0.17556403072264332, 0.034976540196042225, 0.019144523359220608, 0.13515049528415637, 0.1616452272193363, -0.10506405926739368, 0.06847623522536686, -0.05920487509753842, -0.08766963904222044, -0.3813455911496511, -0.09782776634137218, -0.11340538978290099, 0.007623214928361659, -0.09146975229696881, -0.13753564483844316, 0.34487456699403435, 0.20036165658921862, 0.13435539185929185, 0.04443861212796317, 0.33692033918431175, 0.11590032250611469, 0.08845285258184259, 0.07750036188652022, 0.2845959821760726, 0.12415774548068069, 0.12047415532064266, -0.2756812899874953, 0.01030349826368575, 0.0484893607118955] |
710.3205 | SU(1,1) symmetry of multimode squeezed states | We show that a class of multimode optical transformations that employ linear
optics plus two-mode squeezing can be expressed as SU(1,1) operators. These
operations are relevant to state-of-the-art continuous variable quantum
information experiments including quantum state sharing, quantum teleportation,
and multipartite entangled states. Using this SU(1,1) description of these
transformations, we obtain a new basis for such transformations that lies in a
useful representation of this group and lies outside the often-used restriction
to Gaussian states. We analyze this basis, show its application to a class of
transformations, and discuss its extension to more general quantum optical
networks.
| quant-ph | we show that a class of multimode optical transformations that employ linear optics plus twomode squeezing can be expressed as su11 operators these operations are relevant to stateoftheart continuous variable quantum information experiments including quantum state sharing quantum teleportation and multipartite entangled states using this su11 description of these transformations we obtain a new basis for such transformations that lies in a useful representation of this group and lies outside the oftenused restriction to gaussian states we analyze this basis show its application to a class of transformations and discuss its extension to more general quantum optical networks | [['we', 'show', 'that', 'a', 'class', 'of', 'multimode', 'optical', 'transformations', 'that', 'employ', 'linear', 'optics', 'plus', 'twomode', 'squeezing', 'can', 'be', 'expressed', 'as', 'su11', 'operators', 'these', 'operations', 'are', 'relevant', 'to', 'stateoftheart', 'continuous', 'variable', 'quantum', 'information', 'experiments', 'including', 'quantum', 'state', 'sharing', 'quantum', 'teleportation', 'and', 'multipartite', 'entangled', 'states', 'using', 'this', 'su11', 'description', 'of', 'these', 'transformations', 'we', 'obtain', 'a', 'new', 'basis', 'for', 'such', 'transformations', 'that', 'lies', 'in', 'a', 'useful', 'representation', 'of', 'this', 'group', 'and', 'lies', 'outside', 'the', 'oftenused', 'restriction', 'to', 'gaussian', 'states', 'we', 'analyze', 'this', 'basis', 'show', 'its', 'application', 'to', 'a', 'class', 'of', 'transformations', 'and', 'discuss', 'its', 'extension', 'to', 'more', 'general', 'quantum', 'optical', 'networks']] | [-0.11420031715236718, 0.1445759986907396, -0.10106989807907815, 0.062010209695008416, -0.05538112363464446, -0.1761191472582215, 0.04879013860446154, 0.3976187483996761, -0.29338772280844955, -0.20284892071266564, 0.09727841409811826, -0.22852824349906675, -0.18759929417271395, 0.2218666248384635, -0.07154738384403517, 0.12028002382460412, 0.07382437568965691, 0.03798727762923405, -0.1405802211196789, -0.21486881590205986, 0.31604448756991826, -0.02312142326382502, 0.27925130805209736, -0.02986906916473289, 0.13512801034946223, 0.056692842798003434, 0.018737009640935123, -0.04586106245120873, -0.06378375058772448, 0.15700024373862626, 0.3193305432867753, 0.15208392472443533, 0.24313494886214637, -0.3902217358640604, -0.2367669613651779, 0.13370514381676912, 0.09717084683610924, 0.1874828497613115, -0.02769907502465221, -0.3444253872172451, -0.014892005228570529, -0.1998379810960317, -0.12530419111669977, -0.20470683721407334, -0.011601707080797273, -0.02188410540111363, -0.2601115982361822, 0.04793659728543111, 0.06925416832530815, 0.049159132270261224, 0.0031138924354383226, -0.04647499641132712, 0.016461318990747844, 0.08833287839720748, -0.12575993555293855, -0.006229006805295619, 0.15725641349824715, -0.14882861057115832, -0.1752814400599015, 0.39068526605011095, -0.058033327617188345, -0.21922033444541145, 0.17184053327204013, -0.10496876725204746, -0.1561052440214256, -0.006171780258265077, 0.1749590160895367, 0.09241363682251956, -0.1124257655453165, 0.08212419371037478, -0.07915009074008131, 0.1625201810413867, 0.06950032684657419, 0.18838587054348438, 0.15615408079061963, 0.08257941977724989, 0.0606122010967181, 0.2191738709415385, -0.03985780519813451, -0.14798030484353705, -0.3692431933417612, -0.20243400659849298, -0.18332716003440472, 0.09437401715323937, -0.06596317845447183, -0.1352421503171933, 0.42845503945967983, 0.13799915840488156, 0.13583430560894919, 0.028801284990587026, 0.2429259868756849, 0.15384330459257436, 0.08019669400528073, 0.07443353432059592, 0.2196560176089406, 0.1810457506573436, 0.015268861259124716, -0.2036722284428091, -0.03383733434079937, 0.041088478273845146] |
710.3206 | Generalized Jacquet modules of parabolic induction | In this paper we study a generalization of the Jacquet module of a parabolic
induction and construct a filtration on it. The successive quotient of the
filtration is written by using the twisting functor.
| math.RT | in this paper we study a generalization of the jacquet module of a parabolic induction and construct a filtration on it the successive quotient of the filtration is written by using the twisting functor | [['in', 'this', 'paper', 'we', 'study', 'a', 'generalization', 'of', 'the', 'jacquet', 'module', 'of', 'a', 'parabolic', 'induction', 'and', 'construct', 'a', 'filtration', 'on', 'it', 'the', 'successive', 'quotient', 'of', 'the', 'filtration', 'is', 'written', 'by', 'using', 'the', 'twisting', 'functor']] | [-0.160080158699523, 0.014697225737001966, -0.13767894023262403, 0.005679453449214206, -0.09515506702968303, -0.052926084478659666, -0.012473935340120293, 0.3139080307720339, -0.45219004570561294, -0.174691310919383, 0.11993618409820449, -0.156661945848849, -0.2027337603709277, 0.20305350883042111, -0.19360761582741842, -0.06609965543098309, 0.08763270547120448, 0.08589999944738605, -0.06307841149870963, -0.20755064060144565, 0.4129183182547636, 0.04901504834346911, 0.2478206615675898, -0.004618337090291521, 0.17823493643663824, 0.004292749594349195, -0.06458595741594977, -0.015932992877959108, -0.16450342170291526, 0.16282730125000372, 0.23176342822775683, 0.02589413782526903, 0.2699204859296408, -0.3660164360943086, -0.0889404814087731, 0.12064284869634054, 0.07286657738115858, 0.04911692867822507, -0.02007689736851984, -0.2871239213820766, 0.11403260647100122, -0.26149730548700867, -0.08520231463069863, -0.03874912764877081, -0.005728451315970982, 0.006874629453865483, -0.24758606239715042, -0.04932676280355629, 0.11608148147078122, 0.1583159281825133, -0.08270582373199217, -0.01857373967547627, -0.027610247708199656, 0.05937224181423731, 0.023196024402482984, 0.062175173976677746, 0.10047435887870104, -0.11618712089051876, -0.12726852377219236, 0.36462291680714665, -0.14936681771103075, -0.24994205916300416, 0.09344598370850743, -0.11429262625546578, -0.12252437202807735, 0.09907450192772291, 0.03913798599558718, 0.1735836638356833, -0.07529452818391077, 0.15577451632570422, -0.15043390440918944, 0.0172432791441679, 0.14733190733172438, -0.07431181512006066, 0.08662538789212704, 0.1842233974568765, 0.025762873948277795, 0.21012202401042862, -0.026667158126228434, -0.004774931653895799, -0.36926846797851953, -0.29704404173090176, -0.11844533632564194, 0.13580716089071596, -0.02098764220264617, -0.18610526681603753, 0.49869390796212587, 0.09101398070068921, 0.19640733183854642, 0.12328927221653216, 0.2704853255520849, 0.12150953679948169, 0.06429880427415757, -0.02263688363617642, 0.12711894846356966, 0.21362464881145998, 0.0038318429484634716, -0.16819540727952056, 0.01999396941734149, 0.26125035070649844] |
710.3207 | Extracting the Gluon Piece of the Spin Puzzle: New Inclusive Jet Results
from STAR | This contribution presents the most recent mid-rapidity inclusive jet results
from 3 pb^-1 of data collected from longitudinally polarized proton collisions
at sqrt(s)=200 GeV during the 2005 RHIC run. The inclusive jet asymmetry, a_LL,
with it's increased transverse momentum range and precision, provides strong
constraints on the gluon helicity distribution when compared with existing
next-to-leading order perturbative QCD evaluations.
| hep-ex | this contribution presents the most recent midrapidity inclusive jet results from 3 pb1 of data collected from longitudinally polarized proton collisions at sqrts200 gev during the 2005 rhic run the inclusive jet asymmetry a_ll with its increased transverse momentum range and precision provides strong constraints on the gluon helicity distribution when compared with existing nexttoleading order perturbative qcd evaluations | [['this', 'contribution', 'presents', 'the', 'most', 'recent', 'midrapidity', 'inclusive', 'jet', 'results', 'from', '3', 'pb1', 'of', 'data', 'collected', 'from', 'longitudinally', 'polarized', 'proton', 'collisions', 'at', 'sqrts200', 'gev', 'during', 'the', '2005', 'rhic', 'run', 'the', 'inclusive', 'jet', 'asymmetry', 'a_ll', 'with', 'its', 'increased', 'transverse', 'momentum', 'range', 'and', 'precision', 'provides', 'strong', 'constraints', 'on', 'the', 'gluon', 'helicity', 'distribution', 'when', 'compared', 'with', 'existing', 'nexttoleading', 'order', 'perturbative', 'qcd', 'evaluations']] | [-0.03007997274083101, 0.22466797373746916, -0.18454161723602122, 0.10106232852114648, -0.06156255408995232, -0.051421922105719664, -0.07001704691072642, 0.3808831941273253, -0.15492694694114753, -0.3063911497592926, -0.09574833878521193, -0.4032960587291647, 0.2299414779675209, 0.15452939158273957, 0.10532913285986346, 0.15766580990156537, 0.22450897386455435, -0.09402815823964143, -0.02950505094239646, -0.23954313732604732, 0.2682809208857842, 0.1416133758888217, 0.2715651898889534, 0.2225543204379284, 0.08094840392399327, 0.1208790094252297, -0.1304569804598972, -0.07647705320747356, -0.13234510165599758, 0.051309511006782146, 0.2938640289703163, 0.015150238199443635, 0.08760462768407444, -0.36970303371801216, -0.03759638656530592, 0.0615159564541053, 0.11941674550584817, 0.061910525576006306, -0.04943567783753309, -0.25873736031669176, 0.08681718795165672, -0.3215283331603317, -0.10334704506952884, -0.04824045611450733, -0.007022837429481037, -0.03842626177405907, -0.3511049127427198, 0.17642097546071825, -0.10727142844096584, 0.10531889164220479, 0.055427716470765484, -0.2766475557838961, -0.11634521296058419, -0.06711972512105496, 0.1977489528806596, 0.26078910704197017, 0.21243058094533823, -0.20675386451145286, -0.2619983605661635, 0.33001569589063273, 0.040239084888865254, -0.07530592382940764, 0.13812847470201678, -0.30676292441785336, -0.13854935245935696, 0.22122109101659035, 0.31706635955468576, 0.08645730981035, -0.18363728099310242, 0.07477325415613635, -0.013103750360719228, 0.20874221761853007, 0.101907947353261, 0.05017921248040462, 0.14247429948615825, 0.2010314944555383, -0.06190188541629557, 0.03743072923162352, -0.16996614724571296, -0.07306432676643639, -0.4526390928964494, 0.02782622653738422, -0.041616256964408745, 0.09909820477714983, -0.09870360596712197, 0.05413486541769767, 0.384676326058363, 0.10509113470976383, 0.32507246216143465, 0.02164396561555943, 0.41142201420487995, 0.06830397908777093, 0.020386368983377843, 0.16123517575847396, 0.3225085087499376, 0.17435191475423212, 0.34174088050090407, -0.23657875841925458, 0.04040852455240753, 0.01560753126139358] |
710.3208 | The Large Vector Multiplet Action | We discuss possible actions for the d=2, N=(2,2) large vector multiplet that
gauges isometries of generalized Kahler geometries. We explore two scenarios
that allow us to write kinetic and superpotential terms for the scalar
field-strengths, and write kinetic terms for the spinor invariants that can
introduce topological terms for the connections.
| hep-th | we discuss possible actions for the d2 n22 large vector multiplet that gauges isometries of generalized kahler geometries we explore two scenarios that allow us to write kinetic and superpotential terms for the scalar fieldstrengths and write kinetic terms for the spinor invariants that can introduce topological terms for the connections | [['we', 'discuss', 'possible', 'actions', 'for', 'the', 'd2', 'n22', 'large', 'vector', 'multiplet', 'that', 'gauges', 'isometries', 'of', 'generalized', 'kahler', 'geometries', 'we', 'explore', 'two', 'scenarios', 'that', 'allow', 'us', 'to', 'write', 'kinetic', 'and', 'superpotential', 'terms', 'for', 'the', 'scalar', 'fieldstrengths', 'and', 'write', 'kinetic', 'terms', 'for', 'the', 'spinor', 'invariants', 'that', 'can', 'introduce', 'topological', 'terms', 'for', 'the', 'connections']] | [-0.16719569857506192, 0.16153576345566442, 0.003993047310002879, 0.14294329499962793, -0.15185949823581704, -0.176360875989, -0.03715715067935925, 0.31844686152066526, -0.18714418431045488, -0.2596564854623056, 0.04654820108165344, -0.2260202422153716, -0.1992705944633367, 0.09858798257568303, -0.028540266677737236, -0.014969296022957447, -0.005677026057360219, 0.02363880298684771, -0.1444004195361106, -0.28651413070859716, 0.41069888323545456, -0.0448943031518081, 0.21958857223245443, 0.10116366063248636, 0.18322925741199916, -0.0043361589367337085, 0.02123021009359874, -0.019824787262169755, -0.1692452227088164, 0.12674253245852157, 0.2450272932502569, 0.09418921030181296, 0.10085183403947774, -0.4480825287162089, -0.22729013392738268, 0.14955466755611055, 0.16120367522771453, 0.09200106483117185, 0.025129023391534302, -0.2414980959147215, 0.06696471474224738, -0.19307374077684739, -0.173436424068367, -0.26533306857534483, 0.019548093461815047, -0.06526049544267795, -0.26696306556536287, 0.013189159881542711, -0.02003093684713046, -0.010710650105394568, -0.07290380440798461, -0.08705362262131244, -0.07267676686466325, 0.08852339488472424, 0.0867138182123502, 0.012396596983878636, 0.09422477429696158, -0.17287542108519405, -0.15717130879570237, 0.4048541673258239, -0.1349887965365733, -0.3366976461062829, 0.15029595459939218, -0.07800738584688481, -0.1727298671270118, 0.038180443348691744, 0.1262961561408113, 0.14254749350834126, -0.1280901321922155, 0.19588575802296035, -6.035700732586431e-06, 0.07277206489451084, 0.12853896196055062, 0.0765694073542916, 0.1879136975416366, -0.026796517930194445, 0.06899097287917838, 0.1658673153496256, -0.0024025736047941096, -0.10587459548910641, -0.4406130327751823, -0.2481344722613108, -0.0341051851088802, 0.10920989758097659, -0.16453452579912217, -0.12175783028314803, 0.4483141799767812, 0.13479860904900468, 0.14661693310036378, 0.11430720433446706, 0.16758710083862147, 0.09295033248981424, 0.08171925967668786, 0.03921906355147561, 0.2041696133274658, 0.17896699226077864, 0.06940160706347111, -0.22261059941614375, -0.15319713788545308, 0.16893343107007883] |
710.3209 | Chaotic scattering in solitary wave interactions: A singular
iterated-map description | We derive a family of singular iterated maps--closely related to Poincare
maps--that describe chaotic interactions between colliding solitary waves. The
chaotic behavior of such solitary wave collisions depends on the transfer of
energy to a secondary mode of oscillation, often an internal mode of the pulse.
Unlike previous analyses, this map allows one to understand the interactions in
the case when this mode is excited prior to the first collision. The map is
derived using Melnikov integrals and matched asymptotic expansions and
generalizes a ``multi-pulse'' Melnikov integral and allows one to find not only
multipulse heteroclinic orbits, but exotic periodic orbits. The family of maps
derived exhibits singular behavior, including regions of infinite winding. This
problem is shown to be a singular version of the conservative Ikeda map from
laser physics and connections are made with problems from celestial mechanics
and fluid mechanics.
| nlin.PS nlin.CD | we derive a family of singular iterated mapsclosely related to poincare mapsthat describe chaotic interactions between colliding solitary waves the chaotic behavior of such solitary wave collisions depends on the transfer of energy to a secondary mode of oscillation often an internal mode of the pulse unlike previous analyses this map allows one to understand the interactions in the case when this mode is excited prior to the first collision the map is derived using melnikov integrals and matched asymptotic expansions and generalizes a multipulse melnikov integral and allows one to find not only multipulse heteroclinic orbits but exotic periodic orbits the family of maps derived exhibits singular behavior including regions of infinite winding this problem is shown to be a singular version of the conservative ikeda map from laser physics and connections are made with problems from celestial mechanics and fluid mechanics | [['we', 'derive', 'a', 'family', 'of', 'singular', 'iterated', 'mapsclosely', 'related', 'to', 'poincare', 'mapsthat', 'describe', 'chaotic', 'interactions', 'between', 'colliding', 'solitary', 'waves', 'the', 'chaotic', 'behavior', 'of', 'such', 'solitary', 'wave', 'collisions', 'depends', 'on', 'the', 'transfer', 'of', 'energy', 'to', 'a', 'secondary', 'mode', 'of', 'oscillation', 'often', 'an', 'internal', 'mode', 'of', 'the', 'pulse', 'unlike', 'previous', 'analyses', 'this', 'map', 'allows', 'one', 'to', 'understand', 'the', 'interactions', 'in', 'the', 'case', 'when', 'this', 'mode', 'is', 'excited', 'prior', 'to', 'the', 'first', 'collision', 'the', 'map', 'is', 'derived', 'using', 'melnikov', 'integrals', 'and', 'matched', 'asymptotic', 'expansions', 'and', 'generalizes', 'a', 'multipulse', 'melnikov', 'integral', 'and', 'allows', 'one', 'to', 'find', 'not', 'only', 'multipulse', 'heteroclinic', 'orbits', 'but', 'exotic', 'periodic', 'orbits', 'the', 'family', 'of', 'maps', 'derived', 'exhibits', 'singular', 'behavior', 'including', 'regions', 'of', 'infinite', 'winding', 'this', 'problem', 'is', 'shown', 'to', 'be', 'a', 'singular', 'version', 'of', 'the', 'conservative', 'ikeda', 'map', 'from', 'laser', 'physics', 'and', 'connections', 'are', 'made', 'with', 'problems', 'from', 'celestial', 'mechanics', 'and', 'fluid', 'mechanics']] | [-0.18983532905046901, 0.1076013614987692, -0.15257108763127805, 0.09147419397395554, -0.09818031744542696, -0.12477678102763132, -0.009150594378762106, 0.29066974236398724, -0.28279375707968435, -0.23276900212075693, 0.07738373349569341, -0.29603427870992527, -0.1667598750151641, 0.21087303722164996, -0.03986167119393218, 0.07820880872772094, 0.08163125837446315, 0.054972378773192034, -0.04184729516083467, -0.16219047569762254, 0.3322873392558478, 0.030779864321997825, 0.21711767146509167, -0.022579645701729056, 0.11384066966434954, 0.02486842957321977, -0.01155188191246162, -0.053645777126364674, -0.15721817450525227, 0.0932290707031638, 0.23663936925437698, 0.043435229888476486, 0.21115186126532812, -0.40462384865031387, -0.21771214026561442, 0.12056344369317386, 0.17954290511271526, 0.13473066884746893, 0.01294142847586793, -0.30000222478795086, 0.014149678659671587, -0.15336993110782288, -0.20918204809715707, -0.06662055954059705, 0.03678190832336744, 0.08681526722994151, -0.2711281890003341, 0.07259226644887252, 0.07184563231396865, 0.06163092398130936, -0.07013788447031712, -0.02705295669436719, -0.06497368471389835, 0.08299077577589258, 0.06680894469518664, 0.007137009907011867, 0.1258191039211097, -0.07855040862320771, -0.09988047006161857, 0.3742834240543253, -0.04297389801515676, -0.20603140150295926, 0.21177948425760895, -0.16708335276785577, -0.10937113604501736, 0.18538991513113814, 0.13753534572245224, 0.12556601588198163, -0.11755852639918292, 0.060001379755368546, -0.01417287279253558, 0.14244884835450466, 0.15572430642902957, 0.005024794892057882, 0.20589959139915856, 0.1133117060480864, 0.07302579032719558, 0.15348079673044304, -0.06685552902598964, -0.15362028558309196, -0.2726553070907157, -0.0871475204224335, -0.1427435276103916, 0.05323105962849586, -0.04479171977993943, -0.20248087971196313, 0.4140633581642141, 0.09122244939406185, 0.178112515605035, 0.036246982680514774, 0.26214689988286255, 0.1339182099657701, 0.0066140377101428964, 0.05177731009807887, 0.28987356563468614, 0.17114913521552497, 0.0903875172395814, -0.21930015026690794, -0.009632230828786996, 0.11901395210950035] |
710.321 | Entanglement, Invariants, and Phylogenetics | This thesis develops and expands upon known techniques of mathematical
physics relevant to the analysis of the popular Markov model of phylogenetic
trees required in biology to reconstruct the evolutionary relationships of
taxonomic units from biomolecular sequence data. The techniques of mathematical
physics are plethora and have been developed for some time. The Markov model of
phylogenetics and its analysis is a relatively new technique where most
progress to date has been achieved by using discrete mathematics. This thesis
takes a group theoretical approach to the problem by beginning with a
remarkable mathematical parallel to the process of scattering in particle
physics. This is shown to equate to branching events in the evolutionary
history of molecular units. The major technical result of this thesis is the
derivation of existence proofs and computational techniques for calculating
polynomial group invariant functions on a multi-linear space where the group
action is that relevant to a Markovian time evolution. The practical results of
this thesis are an extended analysis of the use of invariant functions in
distance based methods and the presentation of a new reconstruction technique
for quartet trees which is consistent with the most general Markov model of
sequence evolution.
| q-bio.QM q-bio.PE | this thesis develops and expands upon known techniques of mathematical physics relevant to the analysis of the popular markov model of phylogenetic trees required in biology to reconstruct the evolutionary relationships of taxonomic units from biomolecular sequence data the techniques of mathematical physics are plethora and have been developed for some time the markov model of phylogenetics and its analysis is a relatively new technique where most progress to date has been achieved by using discrete mathematics this thesis takes a group theoretical approach to the problem by beginning with a remarkable mathematical parallel to the process of scattering in particle physics this is shown to equate to branching events in the evolutionary history of molecular units the major technical result of this thesis is the derivation of existence proofs and computational techniques for calculating polynomial group invariant functions on a multilinear space where the group action is that relevant to a markovian time evolution the practical results of this thesis are an extended analysis of the use of invariant functions in distance based methods and the presentation of a new reconstruction technique for quartet trees which is consistent with the most general markov model of sequence evolution | [['this', 'thesis', 'develops', 'and', 'expands', 'upon', 'known', 'techniques', 'of', 'mathematical', 'physics', 'relevant', 'to', 'the', 'analysis', 'of', 'the', 'popular', 'markov', 'model', 'of', 'phylogenetic', 'trees', 'required', 'in', 'biology', 'to', 'reconstruct', 'the', 'evolutionary', 'relationships', 'of', 'taxonomic', 'units', 'from', 'biomolecular', 'sequence', 'data', 'the', 'techniques', 'of', 'mathematical', 'physics', 'are', 'plethora', 'and', 'have', 'been', 'developed', 'for', 'some', 'time', 'the', 'markov', 'model', 'of', 'phylogenetics', 'and', 'its', 'analysis', 'is', 'a', 'relatively', 'new', 'technique', 'where', 'most', 'progress', 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'methods', 'and', 'the', 'presentation', 'of', 'a', 'new', 'reconstruction', 'technique', 'for', 'quartet', 'trees', 'which', 'is', 'consistent', 'with', 'the', 'most', 'general', 'markov', 'model', 'of', 'sequence', 'evolution']] | [-0.0527917031225786, 0.07474014849110679, -0.13594629805572708, 0.07236174797329875, -0.10028651547194882, -0.0977082175197964, 0.034692377745140945, 0.33022665408806817, -0.298374958473935, -0.31425656239746724, 0.11287798016094555, -0.21670037639477865, -0.16838948158876538, 0.19994864249166872, -0.06331405879910847, 0.07548111629339566, 0.0754679511630475, 0.03423449885796266, -0.04599777811131619, -0.23953234261334544, 0.3068233932582473, 0.07284017086894524, 0.26262585069593797, 0.021470249101350255, 0.11965835238795144, -0.003706819834093554, -0.09466379263198399, -0.02328703003642126, -0.13460567976705137, 0.1707607955981112, 0.28828788207105427, 0.1844413458520189, 0.2920211046520207, -0.40688260754739697, -0.21684166274005265, 0.09529813967181859, 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710.3211 | Universal Scaling in Non-equilibrium Transport Through a Single-Channel
Kondo Dot | Scaling laws and universality play an important role in our understanding of
critical phenomena and the Kondo effect. Here we present measurements of
non-equilibrium transport through a single-channel Kondo quantum dot at low
temperature and bias. We find that the low-energy Kondo conductance is
consistent with universality between temperature and bias and characterized by
a quadratic scaling exponent, as expected for the spin-1/2 Kondo effect. The
non-equilibrium Kondo transport measurements are well-described by a universal
scaling function with two scaling parameters.
| cond-mat.mes-hall | scaling laws and universality play an important role in our understanding of critical phenomena and the kondo effect here we present measurements of nonequilibrium transport through a singlechannel kondo quantum dot at low temperature and bias we find that the lowenergy kondo conductance is consistent with universality between temperature and bias and characterized by a quadratic scaling exponent as expected for the spin12 kondo effect the nonequilibrium kondo transport measurements are welldescribed by a universal scaling function with two scaling parameters | [['scaling', 'laws', 'and', 'universality', 'play', 'an', 'important', 'role', 'in', 'our', 'understanding', 'of', 'critical', 'phenomena', 'and', 'the', 'kondo', 'effect', 'here', 'we', 'present', 'measurements', 'of', 'nonequilibrium', 'transport', 'through', 'a', 'singlechannel', 'kondo', 'quantum', 'dot', 'at', 'low', 'temperature', 'and', 'bias', 'we', 'find', 'that', 'the', 'lowenergy', 'kondo', 'conductance', 'is', 'consistent', 'with', 'universality', 'between', 'temperature', 'and', 'bias', 'and', 'characterized', 'by', 'a', 'quadratic', 'scaling', 'exponent', 'as', 'expected', 'for', 'the', 'spin12', 'kondo', 'effect', 'the', 'nonequilibrium', 'kondo', 'transport', 'measurements', 'are', 'welldescribed', 'by', 'a', 'universal', 'scaling', 'function', 'with', 'two', 'scaling', 'parameters']] | [-0.15203435345334404, 0.23010578238348517, -0.11447850328203245, 0.0869085383615859, 0.016019711793360106, -0.24295233733331165, 0.08972428854336434, 0.28039620936572274, -0.26427487451813103, -0.31097511538695316, -0.021495707708203957, -0.3188523772448577, -0.16071257015322277, 0.22841223551213374, 0.060711346917360284, 0.07866082687712746, -0.07274198627536312, -0.058353644186331904, -0.09880334429477376, -0.16251620797463406, 0.3249006222439125, 0.07901832108805532, 0.29488465475654346, 0.1530902007318757, 0.05301522723985491, 0.010822505080773507, 0.10780055220756266, 0.08850036553153193, -0.19427679973860332, -0.04963071682248955, 0.2377109052900823, -0.13243632479628295, 0.1941809095442295, -0.37749361534269504, -0.19192341543780064, 0.03661785573112192, 0.1651894026795218, 0.11344825727060254, -0.09967882317249421, -0.24077156164832872, -0.008798836441538125, -0.15719945520668485, -0.10640614113000071, -0.09172765581788105, 0.003391190667717177, -0.02503892076259226, -0.27961037977150194, 0.21532192563833555, 0.061978679817215894, 0.1357391117439594, -0.008999780280354582, -0.11097172186652451, 0.012908630748566838, 0.12228793036307634, 0.021476773783725537, 2.3524242418783683e-05, 0.2227408127905226, -0.16559476523809594, -0.14263716150351144, 0.334830196229396, -0.06380214299546716, -0.08834048298497994, 0.17388741047133083, -0.21648290661382086, -0.12666872423717085, 0.06393950058860176, 0.09600646702722175, 0.008507882773784208, -0.18792944457841876, 0.08972521835649214, -0.019802508036387556, 0.13644953149968736, -0.0803330138521154, 0.1115145800853677, 0.3019253228457622, 0.21262342703563195, 0.026065574648479622, 0.15506540102033337, -0.09757435482777195, -0.13329406404568825, -0.2858341024544688, -0.09804275949244146, -0.23066218643460745, 0.1282193337694345, -0.12205765397416538, -0.17135614145225214, 0.4056437359202975, 0.20578776603495633, 0.23590231546557244, 0.0313190989955156, 0.22521157928363042, 0.21781071253339357, 0.0554850416165995, 0.06810891751291943, 0.2048436874684728, 0.17195836033522624, 0.08940375676194642, -0.3969884159353872, 0.07036803579992718, 0.049028185978071924] |
710.3212 | Analytic derivation of the leading-order gluon distribution function
G(x,Q^2) = xg(x,Q^2) from the proton structure function F_2^p(x,Q^2) | We derive a second-order linear differential equation for the leading order
gluon distribution function G(x,Q^2) = xg(x,Q^2) which determines G(x,Q^2)
directly from the proton structure function F_2^p(x,Q^2). This equation is
derived from the leading order DGLAP evolution equation for F_2^p(x,Q^2), and
does not require knowledge of either the individual quark distributions or the
gluon evolution equation. Given an analytic expression that successfully
reproduces the known experimental data for F_2^p(x,Q^2) in a domain
x_min<=x<=x_max, Q_min^2<=Q^2<=Q_max^2 of the Bjorken variable x and the
virtuality Q^2 in deep inelastic scattering, G(x,Q^2) is uniquely determined in
the same domain. We give the general solution and illustrate the method using
the recently proposed Froissart bound type parametrization of F_2^p(x,Q^2) of
E. L. Berger, M. M. Block and C-I. Tan, PRL 98, 242001, (2007). Existing
leading-order gluon distributions based on power-law description of individual
parton distributions agree roughly with the new distributions for x>~10^-3 as
they should, but are much larger for x<~10^-3.
| hep-ph | we derive a secondorder linear differential equation for the leading order gluon distribution function gxq2 xgxq2 which determines gxq2 directly from the proton structure function f_2pxq2 this equation is derived from the leading order dglap evolution equation for f_2pxq2 and does not require knowledge of either the individual quark distributions or the gluon evolution equation given an analytic expression that successfully reproduces the known experimental data for f_2pxq2 in a domain x_minxx_max q_min2q2q_max2 of the bjorken variable x and the virtuality q2 in deep inelastic scattering gxq2 is uniquely determined in the same domain we give the general solution and illustrate the method using the recently proposed froissart bound type parametrization of f_2pxq2 of e l berger m m block and ci tan prl 98 242001 2007 existing leadingorder gluon distributions based on powerlaw description of individual parton distributions agree roughly with the new distributions for x103 as they should but are much larger for x103 | [['we', 'derive', 'a', 'secondorder', 'linear', 'differential', 'equation', 'for', 'the', 'leading', 'order', 'gluon', 'distribution', 'function', 'gxq2', 'xgxq2', 'which', 'determines', 'gxq2', 'directly', 'from', 'the', 'proton', 'structure', 'function', 'f_2pxq2', 'this', 'equation', 'is', 'derived', 'from', 'the', 'leading', 'order', 'dglap', 'evolution', 'equation', 'for', 'f_2pxq2', 'and', 'does', 'not', 'require', 'knowledge', 'of', 'either', 'the', 'individual', 'quark', 'distributions', 'or', 'the', 'gluon', 'evolution', 'equation', 'given', 'an', 'analytic', 'expression', 'that', 'successfully', 'reproduces', 'the', 'known', 'experimental', 'data', 'for', 'f_2pxq2', 'in', 'a', 'domain', 'x_minxx_max', 'q_min2q2q_max2', 'of', 'the', 'bjorken', 'variable', 'x', 'and', 'the', 'virtuality', 'q2', 'in', 'deep', 'inelastic', 'scattering', 'gxq2', 'is', 'uniquely', 'determined', 'in', 'the', 'same', 'domain', 'we', 'give', 'the', 'general', 'solution', 'and', 'illustrate', 'the', 'method', 'using', 'the', 'recently', 'proposed', 'froissart', 'bound', 'type', 'parametrization', 'of', 'f_2pxq2', 'of', 'e', 'l', 'berger', 'm', 'm', 'block', 'and', 'ci', 'tan', 'prl', '98', '242001', '2007', 'existing', 'leadingorder', 'gluon', 'distributions', 'based', 'on', 'powerlaw', 'description', 'of', 'individual', 'parton', 'distributions', 'agree', 'roughly', 'with', 'the', 'new', 'distributions', 'for', 'x103', 'as', 'they', 'should', 'but', 'are', 'much', 'larger', 'for', 'x103']] | [-0.048368053481871495, 0.1024842980460247, -0.1487278504680623, 0.11502421740214248, -0.09549870602543058, -0.08673680662078588, 0.016263288007501292, 0.3335528375422643, -0.19536194083086075, -0.2813225812324341, 0.0050988742675376585, -0.26796594904005233, -0.047813930658294874, 0.13803656327422537, 0.016981020959374173, 0.09952499878933666, 0.02586382266067066, 0.006109390349973456, -0.07841733483570244, -0.22610031925841825, 0.34601647413512265, 0.017227869841317325, 0.27247380130479926, 0.08567863296005218, 0.13700527799531842, 0.06577817474497981, -0.0643157851973585, -0.06974175171561393, -0.18064069209775005, 0.06357045847240811, 0.2235293101052924, 0.08791794032132362, 0.13081220387225495, -0.35495395917792383, -0.18197870345822736, 0.05064360783176704, 0.15163156968157956, 0.083265807894302, 0.03485493305720559, -0.240014321106833, 0.054104408876227784, -0.22038353098179, -0.1641881674942043, -0.10130830594563699, 0.036016048130037545, 0.044804591313461026, -0.34647909545657696, 0.1254012339940185, 0.024041806849851913, -0.03615699198973529, -0.05611592472311767, -0.22973084896178977, -0.05742343672204251, 0.04736618637533408, 0.030122910714495223, 0.12101200283839812, 0.08904444464646719, -0.16119743537863876, -0.07375928847837487, 0.33819959367461067, -0.06655266540873722, -0.20486827173138653, 0.10062071639326176, -0.22774269168259076, -0.10973149224403589, 0.16067075285165772, 0.152463107719847, 0.14487181453405593, -0.19411654909806375, 0.14008588056092217, -0.05074577080827736, 0.18014534443519473, 0.1000145106253768, -0.0009104315413067382, 0.12021463127575474, 0.13677803142334097, -0.010850097764940822, 0.04239948876080365, -0.07062680355967114, -0.11265783473617988, -0.3603067207667563, -0.08770626183679887, -0.16867790824362364, 0.11026380115709483, -0.11459472384326634, -0.13508365487107654, 0.3298009538085632, 0.07043424700965094, 0.24166832639214894, 0.07809110359042226, 0.25363047591416665, 0.1756375713412364, 0.04998087873256284, 0.10886012565563707, 0.20434947919977062, 0.17265337585240262, 0.1235376939883614, -0.22036715599196946, 0.09207356714771367, 0.08783588814396971] |
710.3213 | Latest Results on Bottom Spectroscopy and Production with CDF | Using data collected with the CDF Run II detector, new measurements on bottom
production cross-sections are presented. The latest achievements in bottom
hadron spectroscopy are discussed. The results are based on a large sample of
semileptonic and hadronic decays of bottom states made available by triggers
based on the precise CDF tracking system.
| hep-ex | using data collected with the cdf run ii detector new measurements on bottom production crosssections are presented the latest achievements in bottom hadron spectroscopy are discussed the results are based on a large sample of semileptonic and hadronic decays of bottom states made available by triggers based on the precise cdf tracking system | [['using', 'data', 'collected', 'with', 'the', 'cdf', 'run', 'ii', 'detector', 'new', 'measurements', 'on', 'bottom', 'production', 'crosssections', 'are', 'presented', 'the', 'latest', 'achievements', 'in', 'bottom', 'hadron', 'spectroscopy', 'are', 'discussed', 'the', 'results', 'are', 'based', 'on', 'a', 'large', 'sample', 'of', 'semileptonic', 'and', 'hadronic', 'decays', 'of', 'bottom', 'states', 'made', 'available', 'by', 'triggers', 'based', 'on', 'the', 'precise', 'cdf', 'tracking', 'system']] | [-0.020182138796509156, 0.1747877853922546, -0.05774044055702551, 0.04187398874815905, -0.07007813727799451, -0.1597750302940115, 0.04867352683422208, 0.308221823307422, -0.13813684004763105, -0.2916378954530887, 0.07944585615549377, -0.4373668211705561, 0.07305167970370571, 0.22626115995424115, 0.0677646977908224, 0.18681459237803827, 0.24151120595809705, -0.02699779460364777, -0.06333930911672003, -0.24975577597769927, 0.28952104357545666, 0.07357157752761301, 0.2857173867787252, 0.13268758159763408, 0.017700463478488603, 0.004170028101828582, -0.16498008622010327, -0.05099407521094072, -0.11642287948326964, 0.10979577872071872, 0.1889579038938534, 0.13726381628492954, 0.1062513478978906, -0.4760743764239827, -0.03417099189707341, 0.014530384790082023, 0.09917416345363236, 0.06717082732444946, -0.15974353585734893, -0.39770351262446846, 0.096963601678891, -0.1638134432482129, -0.07535784407782387, -0.03946546379055055, -0.027475117907841812, 0.012975658272516052, -0.2905648952385165, 0.05353968304950955, -0.15463842637836933, 0.113343524346831, 0.0019002749347391556, -0.27228606164341196, -0.06116751581430435, 0.04677689146637073, 0.03705606685143034, 0.009260508257627734, 0.19809507255284292, -0.14388480891456018, -0.20361895233673868, 0.2740852300358831, -0.09031279602544909, -0.15138921327888966, 0.20619637955788453, -0.20768425130408327, -0.11125349133925617, 0.13815172285474134, 0.3047751186696707, 0.08294123907591093, -0.26915957063506796, 0.0896556340981679, -0.005155209926361183, 0.15110414453676707, 0.004518638848204096, 0.06136961652950015, 0.16372084381159852, 0.29890521359190625, -0.08141700872483681, 0.06585818181640275, -0.1743280148915595, -0.056069621306685906, -0.4526691841980759, -0.07244798840673745, -0.1765712734294247, -0.01945685001116527, 0.06565014191245318, -0.09007964342973142, 0.3712823798633971, 0.047380330612144944, 0.3222052897414509, 0.002069707801741249, 0.31188528468164634, 0.026305369749436824, 0.08561953030667215, 0.07828699878223662, 0.35133238797480204, 0.15006558001832157, 0.20048736537507963, -0.2035420270250091, 0.0814065043199456, 0.04336734870360848] |
710.3214 | Chemical Functionalization of Graphene Nanoribbons by Carboxyl Groups on
Stone-Wales Defects | Using the density functional theory, we have demonstrated the chemical
functionalization of semiconducting graphene nanoribbons (GNRs) with
Stone-Wales (SW) defects by carboxyl (COOH) groups. It is found that the
geometrical structures and electronic properties of the GNRs changed
significantly, and the electrical conductivity of the system could be
considerably enhanced by mono-adsorption and double-adsorption of COOH, which
sensitively depends upon the axial concentration of SW defects COOH pairs
(SWDCPs). With the increase of the axial concentration of SWDCPs, the system
would transform from semiconducting behavior to p-type metallic behavior. This
fact makes GNRs a possible candidate for chemical sensors and nanoelectronic
devices based on graphene nanoribbons.
| cond-mat.mtrl-sci | using the density functional theory we have demonstrated the chemical functionalization of semiconducting graphene nanoribbons gnrs with stonewales sw defects by carboxyl cooh groups it is found that the geometrical structures and electronic properties of the gnrs changed significantly and the electrical conductivity of the system could be considerably enhanced by monoadsorption and doubleadsorption of cooh which sensitively depends upon the axial concentration of sw defects cooh pairs swdcps with the increase of the axial concentration of swdcps the system would transform from semiconducting behavior to ptype metallic behavior this fact makes gnrs a possible candidate for chemical sensors and nanoelectronic devices based on graphene nanoribbons | [['using', 'the', 'density', 'functional', 'theory', 'we', 'have', 'demonstrated', 'the', 'chemical', 'functionalization', 'of', 'semiconducting', 'graphene', 'nanoribbons', 'gnrs', 'with', 'stonewales', 'sw', 'defects', 'by', 'carboxyl', 'cooh', 'groups', 'it', 'is', 'found', 'that', 'the', 'geometrical', 'structures', 'and', 'electronic', 'properties', 'of', 'the', 'gnrs', 'changed', 'significantly', 'and', 'the', 'electrical', 'conductivity', 'of', 'the', 'system', 'could', 'be', 'considerably', 'enhanced', 'by', 'monoadsorption', 'and', 'doubleadsorption', 'of', 'cooh', 'which', 'sensitively', 'depends', 'upon', 'the', 'axial', 'concentration', 'of', 'sw', 'defects', 'cooh', 'pairs', 'swdcps', 'with', 'the', 'increase', 'of', 'the', 'axial', 'concentration', 'of', 'swdcps', 'the', 'system', 'would', 'transform', 'from', 'semiconducting', 'behavior', 'to', 'ptype', 'metallic', 'behavior', 'this', 'fact', 'makes', 'gnrs', 'a', 'possible', 'candidate', 'for', 'chemical', 'sensors', 'and', 'nanoelectronic', 'devices', 'based', 'on', 'graphene', 'nanoribbons']] | [-0.15336349131265545, 0.1437409390129295, -0.054131850823942645, -0.08068536254851257, -0.0021292942909377755, -0.18059082951524533, 0.1008602720719543, 0.4561000684933627, -0.26818093742408294, -0.29739659579069005, -0.01890071849886547, -0.3156132187109952, -0.20804438779276668, 0.1547143801352849, 0.009378921909385598, 0.03149487570422649, 0.037183047508519584, -0.08331189415298913, -0.08425166041820821, -0.2289924681707121, 0.24494399884989596, 0.0535067281886643, 0.3535450532228923, 0.15332303246410162, -0.027332636066621133, -0.004391814524983512, 0.11405999256827522, 0.03940543653238017, -0.13253990697536638, 0.1574888249548773, 0.2135274025187006, -0.12822593942595026, 0.1623228918761015, -0.50005400602651, -0.23422955902402892, -0.038047220909456704, 0.16453017940397793, 0.13766389755491057, -0.07331537441852704, -0.3059446376510987, 0.13175272296968044, -0.1147261756522508, -0.11821137916558655, -0.030269471006285326, 0.03259419503835185, 0.06723341875819161, -0.1688666790175964, 0.0851994354378286, -0.005786803806675416, 0.038774402954789136, -0.12329375665299891, -0.190119725375838, -0.17056142845118016, 0.041540075084377154, 0.04278180320455017, -0.04363198531335037, 0.36300913522969563, -0.13529249362181872, -0.07188664877093305, 0.3892240714573977, -0.011013538489921712, -0.08092342255872163, 0.18560355238835602, -0.12390529162104369, -0.08357386814667751, 0.16521620711165608, 0.0377012574406085, 0.09863373306214664, -0.1516940257347682, 0.09263371197534177, 0.02946481131834398, 0.1737002261558219, 0.08578703339056422, 0.10921267805821902, 0.24696215357193174, 0.1916023243821281, 0.08490010975704838, 0.11362884577486992, -0.0697843805663105, 0.0674046135510948, -0.12786319261124612, -0.2525897702412205, -0.2025551937940512, 0.11094327928445886, -0.10656256390696701, -0.23543108559861853, 0.4328181007876992, 0.13655212627468155, 0.13656213264181918, -0.060026184353274385, 0.17832089167124793, 0.10978275958412126, 0.15417413150562959, -0.047109903021277315, 0.21711352580756532, 0.20908150419720686, 0.11456086109027121, -0.2929578696254312, 0.11845813092191283, -0.015346710227758568] |
710.3215 | A model for a plasma ball | A detailed simple model is applied to study a high temperature plasma ball.
It is assumed that the ions and delocalized electrons are distributed randomly
throughout the charged plasma ball (extra/missing charge is assumed to be found
in a thin layer on the surface of a ball). The energy of the microscopic
electrostatic field around the ions is taken into account and calculated. It is
shown in the framework of this model that regarded charged plasma ball can be
stable as a metastable state, when subjected to an external (atmospheric)
pressure. Equilibrium radius of a ball is calculated.
| physics.plasm-ph physics.space-ph | a detailed simple model is applied to study a high temperature plasma ball it is assumed that the ions and delocalized electrons are distributed randomly throughout the charged plasma ball extramissing charge is assumed to be found in a thin layer on the surface of a ball the energy of the microscopic electrostatic field around the ions is taken into account and calculated it is shown in the framework of this model that regarded charged plasma ball can be stable as a metastable state when subjected to an external atmospheric pressure equilibrium radius of a ball is calculated | [['a', 'detailed', 'simple', 'model', 'is', 'applied', 'to', 'study', 'a', 'high', 'temperature', 'plasma', 'ball', 'it', 'is', 'assumed', 'that', 'the', 'ions', 'and', 'delocalized', 'electrons', 'are', 'distributed', 'randomly', 'throughout', 'the', 'charged', 'plasma', 'ball', 'extramissing', 'charge', 'is', 'assumed', 'to', 'be', 'found', 'in', 'a', 'thin', 'layer', 'on', 'the', 'surface', 'of', 'a', 'ball', 'the', 'energy', 'of', 'the', 'microscopic', 'electrostatic', 'field', 'around', 'the', 'ions', 'is', 'taken', 'into', 'account', 'and', 'calculated', 'it', 'is', 'shown', 'in', 'the', 'framework', 'of', 'this', 'model', 'that', 'regarded', 'charged', 'plasma', 'ball', 'can', 'be', 'stable', 'as', 'a', 'metastable', 'state', 'when', 'subjected', 'to', 'an', 'external', 'atmospheric', 'pressure', 'equilibrium', 'radius', 'of', 'a', 'ball', 'is', 'calculated']] | [-0.08704256871358815, 0.2257008435246499, -0.07904750381938505, 0.059273789737763226, 0.03468149074600363, -0.1473108316505594, 0.0018342878403408186, 0.384649645765217, -0.25339816546789845, -0.24341419120604285, 0.042224770038844825, -0.2755553205212464, -0.008513948975168929, 0.13497998053089202, -0.036580462008714676, 0.01576772608737252, 0.028920289024482577, 0.06829265007102976, 0.009934440877630698, -0.1716598930402792, 0.2601972518510147, 0.09862200311404101, 0.26419805615608183, 0.0958470654464802, 0.07858039024381006, -0.049721067982763816, 0.06968340017875581, 0.09600977536899094, -0.1277919434274105, 0.019867456280531322, 0.1833975398817993, 0.005089657711416331, 0.26255140476860106, -0.4714518859602359, -0.2562767692214372, 0.057231211531147054, 0.12970577110536397, 0.08572710535432003, -0.09023376677437134, -0.24302278782184028, 0.07156423706447287, -0.12964464331577932, -0.18347716599474756, -0.03502205738379639, 0.03922337474781373, 0.0050226024765407246, -0.32217780023406983, 0.05037959531063632, 0.055596108721778253, -0.020641647616629392, -0.14231660608107186, -0.10012602638833377, -0.07680299038979777, 0.07584219417274617, 0.05711168310443433, 0.11108998213276951, 0.2638916361587578, -0.04805763783075904, 0.018594324170630807, 0.42575514592154295, -0.05137982873759252, -0.2101220556021649, 0.1565412337682685, -0.17818407729097016, -0.020618277673172404, 0.19685075994657011, 0.16774548533163508, 0.12751498462974417, -0.18471532699735763, 0.09378048198711013, -0.0699450514357708, 0.18451041159723713, 0.058766821385076155, -0.036054662571345666, 0.27754153910910295, 0.1739158855812928, 0.03115675611687558, 0.18062614105708366, -0.07810031022752958, -0.10672588986629734, -0.2828271039096372, -0.1698321271687746, -0.21072013056314343, 0.0458635317674857, -0.04434517982899335, -0.19717204743819264, 0.3593874420371971, 0.07194483125753397, 0.18898245156029886, -0.09589234460145235, 0.26748554007986525, 0.10364951292998442, 0.028178153098655904, 0.086324920640232, 0.2546265608635826, 0.17514778274510587, 0.10596169280710901, -0.2073190681427261, 0.029436387297488292, 0.042347305473320336] |
710.3216 | Knot homology via derived categories of coherent sheaves II, sl(m) case | Using derived categories of equivariant coherent sheaves we construct a knot
homology theory which categorifies the quantum sl(m) knot polynomial. Our knot
homology naturally satisfies the categorified MOY relations and is
conjecturally isomorphic to Khovanov-Rozansky homology. Our construction is
motivated by the geometric Satake correspondence and is related to Manolescu's
by homological mirror symmetry.
| math.AG math.QA | using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum slm knot polynomial our knot homology naturally satisfies the categorified moy relations and is conjecturally isomorphic to khovanovrozansky homology our construction is motivated by the geometric satake correspondence and is related to manolescus by homological mirror symmetry | [['using', 'derived', 'categories', 'of', 'equivariant', 'coherent', 'sheaves', 'we', 'construct', 'a', 'knot', 'homology', 'theory', 'which', 'categorifies', 'the', 'quantum', 'slm', 'knot', 'polynomial', 'our', 'knot', 'homology', 'naturally', 'satisfies', 'the', 'categorified', 'moy', 'relations', 'and', 'is', 'conjecturally', 'isomorphic', 'to', 'khovanovrozansky', 'homology', 'our', 'construction', 'is', 'motivated', 'by', 'the', 'geometric', 'satake', 'correspondence', 'and', 'is', 'related', 'to', 'manolescus', 'by', 'homological', 'mirror', 'symmetry']] | [-0.2483622260408959, 0.052115051748438015, -0.21891017197803767, 0.1518625154588975, -0.1604851079000919, -0.24932745201685638, -0.0692563121254487, 0.307505880534235, -0.45125316083431244, -0.23206720193330613, 0.05896762406660451, -0.1341629542444867, -0.2699530627492263, 0.14768568443617336, -0.3266738303333383, -0.03002490724126498, 0.038924864911543275, 0.05341059438823895, -0.08939437795844343, -0.27035278319629097, 0.433898032065136, -0.029527343958357558, 0.228367593018683, 0.073087454956732, 0.13259822835593862, 0.004601830573476575, -0.04214699940617989, -0.08833443156133096, -0.23521250998601317, 0.192684247933492, 0.37041186921177777, -0.01845364467482324, -0.055165472800446744, -0.3660942159110197, -0.04833366574786379, 0.13685411639097664, 0.13860920206180136, -0.009690633735671226, 0.01255636655346111, -0.3654040519656889, 0.10193182709109452, -0.22446607784540565, -0.1358765929385468, -0.10970274568535388, 0.008841209329181799, -0.016687486441461025, -0.13319244815243614, -0.06026287763638215, 0.03316781092952523, 0.1797772717524182, 0.01075684132606343, -0.012225186797203842, -0.09378312906267604, 0.0715769077392502, -0.03572946037941923, 0.1251397633631886, 0.14115965883980539, -0.14180704150176435, -0.23561632043371597, 0.38304064153797096, -0.0007823263467461975, -0.21451400068623047, 0.06818064931279945, -0.07607125049387967, -0.2662982473374103, 0.1917157218407805, -0.16089709373880867, 0.11957751406805107, 0.08668826751548935, 0.18253718771652697, -0.22759397669384876, 0.09544080175045463, 0.12303571259878852, -0.020893145680289577, 0.15418416100416193, 0.0025845693976238922, 0.02123148273676634, 0.22617612710153615, 0.03179171533944706, -0.12458005433695184, -0.34425877890101186, -0.25284075721962534, -0.12153851059782836, 0.16310266639899323, -0.1535506748537214, -0.11734844426865931, 0.4154632727236108, 0.039656773037104694, 0.10170588164624793, 0.2376992785764203, 0.2531059889674739, 0.030370840858840557, 0.0968874961965614, -0.030128260841593146, 0.07808237978153759, 0.3548114061165877, -0.09445695829129329, -0.10907494364720252, -0.07825832607879958, 0.46215089341556587] |
710.3217 | A natural prime-generating recurrence | For the sequence defined by a(n) = a(n-1) + gcd(n, a(n-1)) with a(1) = 7 we
prove that a(n) - a(n-1) takes on only 1s and primes, making this recurrence a
rare "naturally occurring" generator of primes. Toward a generalization of this
result to an arbitrary initial condition, we also study the limiting behavior
of a(n)/n and a transience property of the evolution.
| math.NT | for the sequence defined by an an1 gcdn an1 with a1 7 we prove that an an1 takes on only 1s and primes making this recurrence a rare naturally occurring generator of primes toward a generalization of this result to an arbitrary initial condition we also study the limiting behavior of ann and a transience property of the evolution | [['for', 'the', 'sequence', 'defined', 'by', 'an', 'an1', 'gcdn', 'an1', 'with', 'a1', '7', 'we', 'prove', 'that', 'an', 'an1', 'takes', 'on', 'only', '1s', 'and', 'primes', 'making', 'this', 'recurrence', 'a', 'rare', 'naturally', 'occurring', 'generator', 'of', 'primes', 'toward', 'a', 'generalization', 'of', 'this', 'result', 'to', 'an', 'arbitrary', 'initial', 'condition', 'we', 'also', 'study', 'the', 'limiting', 'behavior', 'of', 'ann', 'and', 'a', 'transience', 'property', 'of', 'the', 'evolution']] | [-0.17762682781854677, 0.11109895238497934, -0.0904207003886922, 0.08593793765452327, -0.005615909299734286, -0.11057601090110207, 0.03256311872382096, 0.32395498870114275, -0.28806511381388467, -0.21534788657879553, 0.08408284681391413, -0.23869540422397145, -0.153297781525969, 0.15620993139316974, -0.08420633619367066, -0.014905059842345447, 0.04804676371800192, 0.0753680920086296, -0.06113469647243619, -0.26561615025719343, 0.33517794145302754, 0.008985465708172928, 0.19386786355052965, 0.0011193710931781996, 0.1281796527347701, 0.034357279523323146, 0.05695611778331005, -0.062189238935203874, -0.17611453988872, 0.08237335243720119, 0.19763425273536625, 0.11061514125174006, 0.2810865403863333, -0.3660665792176279, -0.10176764434929621, 0.1678165472112596, 0.15614500398731837, 0.04658880194459679, -0.015924759617596235, -0.2618350749361818, 0.1340205122843006, -0.1471221352201271, -0.2048841507600273, -0.018076665289068625, 0.10177101365337937, 0.05021989156918253, -0.3625126222180108, 0.032109788456690984, 0.19659023252079041, 0.09766752572095819, -0.05246700865430639, -0.10720782350527785, 0.008395892737622736, 0.07583110961842082, 0.039315747270771, 0.04279950057093244, 0.02723846289376586, -0.09685780344751932, -0.11151975736819145, 0.3381481229217123, -0.0260187616725689, -0.15724546013999793, 0.14174099296520828, -0.1301027008932147, -0.2073321939935371, 0.10228796701846739, 0.11077444798360436, 0.11983024842752996, -0.07750254493775004, 0.07369798647389764, -0.08552136867291342, 0.14675350670339699, 0.10456428634223797, 0.012357296098528777, 0.10153891130397885, 0.13471550777775504, 0.060101858245492995, 0.17072028474156128, -0.030221197829124028, -0.03542817778238174, -0.35534639798609885, -0.2110861095805037, -0.17599419400222222, 0.17747687706250256, -0.14300044604638293, -0.1927021501301709, 0.36906747788317124, 0.07254048037516364, 0.2780374156279584, 0.12231243146046744, 0.19703796971589327, 0.12331799060200989, 0.008915294253788257, 0.05088856426399138, 0.10601397816849462, 0.14545418963357173, 0.0447293607660143, -0.1431333137048661, 0.04071399561618849, 0.15297167198890346] |
710.3218 | Representations of Temperley--Lieb Algebras | We define a commuting family of operators $T_0,T_1,...,T_n$ in the
Temperley--Lieb algebra $\mathcal{A}_n(x)$ of type $A_{n-1}$. Using an
appropriate analogue to Murphy basis of the Iwahori--Hecke algebra of the
symmetric group, we describe the eigenvalues arising from the triangular action
of the said operators on the cell modules of $\mathcal{A}_n(x)$. These results
are used to provide the Temperley--Lieb algebras of type $A_{n-1}$ with a
semi--normal form, together with a branching law, and explicit formulae for
associated Gram determinants.
| math.RT | we define a commuting family of operators t_0t_1t_n in the temperleylieb algebra mathcala_nx of type a_n1 using an appropriate analogue to murphy basis of the iwahorihecke algebra of the symmetric group we describe the eigenvalues arising from the triangular action of the said operators on the cell modules of mathcala_nx these results are used to provide the temperleylieb algebras of type a_n1 with a seminormal form together with a branching law and explicit formulae for associated gram determinants | [['we', 'define', 'a', 'commuting', 'family', 'of', 'operators', 't_0t_1t_n', 'in', 'the', 'temperleylieb', 'algebra', 'mathcala_nx', 'of', 'type', 'a_n1', 'using', 'an', 'appropriate', 'analogue', 'to', 'murphy', 'basis', 'of', 'the', 'iwahorihecke', 'algebra', 'of', 'the', 'symmetric', 'group', 'we', 'describe', 'the', 'eigenvalues', 'arising', 'from', 'the', 'triangular', 'action', 'of', 'the', 'said', 'operators', 'on', 'the', 'cell', 'modules', 'of', 'mathcala_nx', 'these', 'results', 'are', 'used', 'to', 'provide', 'the', 'temperleylieb', 'algebras', 'of', 'type', 'a_n1', 'with', 'a', 'seminormal', 'form', 'together', 'with', 'a', 'branching', 'law', 'and', 'explicit', 'formulae', 'for', 'associated', 'gram', 'determinants']] | [-0.13123443003511057, 0.06723840122799932, -0.026155143169065316, 0.03957468912005425, -0.10633026339734594, -0.12007587884242336, -0.027203740316132704, 0.3256613976260026, -0.31112386994063856, -0.1570023809125026, 0.1552866667183116, -0.26472249982878565, -0.1726441008100907, 0.1803131130213539, -0.11213840239991744, -0.02212124506632487, 0.06571464917001625, 0.13241516467222633, -0.15421906946847835, -0.18203900923331578, 0.4168873315056165, 0.0037881165028860173, 0.22535285299954316, -0.037178821290532744, 0.11183299737672012, 0.020782491999367873, -0.03634809256841739, -0.0474713088447849, -0.15047159479930997, 0.21973267779375116, 0.2634760582416008, 0.08447961445276936, 0.14182736078636177, -0.4220742300897837, -0.02781415294855833, 0.17210823313022652, 0.1746447856972615, 0.04216956120294829, -0.02716363206350555, -0.28014168528839944, 0.04922883580128352, -0.2828020603582263, -0.2004415579388539, -0.04155209119121234, 0.03958131960282723, 0.04455423374970754, -0.32361660150190197, 0.04889630548655987, 0.058516851949195064, 0.12356044257680575, -0.09804175562535723, -0.16379940022403996, -0.044444832832862935, 0.10834141471112768, -0.0814588068984449, -0.0617902378924191, 0.09934307896842559, -0.06702540551001827, -0.1829483844836553, 0.3493035400775261, -0.013180617059891422, -0.24052620438237984, 0.0943466991186142, -0.16636467947314182, -0.15371224728102487, 0.06956984008351962, 0.08865580889085929, 0.08414630759711145, -0.09915335237979889, 0.17311319626790161, -0.11993235260248185, 0.028028460435258844, 0.06598199074777464, 0.020605204316476982, 0.13386446977655092, 0.05748291607946157, -0.012721496547261874, 0.15796136932137111, 0.0615964919476149, -0.05597902978459994, -0.3587534976005554, -0.20830973078186313, -0.10250011733112235, 0.15041893010338148, -0.14619050117500593, -0.2367297277847926, 0.43016412472662824, 0.0891755586490035, 0.19479478361085056, 0.1083533689007163, 0.08908214504209658, 0.13550713820693394, 0.17880778030802807, -0.02251683723181486, 0.06608151096229752, 0.3025280503804485, 0.009116473572600323, -0.18879310213960707, -0.05589949710294604, 0.2930171155184507] |
710.3219 | On some explicit evaluations of multiple zeta-star values | In this paper, we give some explicit evaluations of multiple zeta-star values
which are rational multiple of powers of $\pi^2$.
| math.NT | in this paper we give some explicit evaluations of multiple zetastar values which are rational multiple of powers of pi2 | [['in', 'this', 'paper', 'we', 'give', 'some', 'explicit', 'evaluations', 'of', 'multiple', 'zetastar', 'values', 'which', 'are', 'rational', 'multiple', 'of', 'powers', 'of', 'pi2']] | [-0.30368525004014374, 0.08500369158573448, -0.03736378841567785, 0.000576544419163838, -0.10293638436123728, -0.12899691369384528, 0.0658386149967555, 0.3734807984903455, -0.23951989486813546, -0.25755937343928964, 0.07852196758030913, -0.22573352616745979, -0.2035336741246283, 0.259936149418354, -0.05267648990266025, 0.02295044247948681, 0.01361045720987022, 0.05607400182634592, -0.11642158129252493, -0.3117957405745983, 0.4036809879397879, -0.057706963689997795, 0.10411687409505248, 0.05873797200620175, 0.07725030607543885, -0.020859553711488843, -0.05086714834906161, -0.07592336934540071, -0.13757059797644616, 0.18109103836031865, 0.3427483318373561, 0.08256993098184466, 0.3177410285919905, -0.4382584964856505, -0.08001953295897693, 0.19247704530134796, 0.17236638530157505, 0.03175168532761745, -0.006667180405929685, -0.16397426910698415, 0.10437835985794663, -0.19943333957344295, -0.10171307120472192, -0.13518826458603145, -0.01576997460797429, 0.13837951263412834, -0.37676412127912046, 0.03644883544184267, 0.040504333470016717, 0.1357299332972616, -0.04929778187070042, -0.229531869944185, 0.12008469812572002, 0.16527868311386557, 0.11148940036073327, -0.040939847752451894, -0.01841481295414269, -0.0957212587702088, -0.1292886553390417, 0.29670732393860816, 0.03398642400279641, -0.24791450686752797, 0.09446130660362542, -0.15396759957075118, -0.15109719277825207, 0.15696717845275998, 0.11605791710317134, 0.18935040794312955, -0.07851722510531545, 0.04058984606526792, -0.15634032264351844, 0.06254654236836359, 0.21482615594286472, 0.10104281683452428, 0.1411364517174661, -0.038143003545701507, -0.03010398424230516, 0.1682675326243043, -0.038850648980587724, -0.07996477503329516, -0.4153742257098202, -0.1780457287095487, -0.11011501383036375, 0.0822531221434474, -0.16942390352487563, -0.20993539541959763, 0.42483887299895284, 0.1619383397512138, 0.2904963556677103, 0.18933417518273926, 0.32096805367618797, 0.1671682858839631, -0.034102924959734084, -0.039367446303367616, 0.12086779576056869, 0.028019776102155447, 0.025267654471099375, -0.12222164589911699, 0.008921028510667384, 0.08433694583363831] |
710.322 | Violation of an inequality in an experimental test of Leggett's
non-local hidden variable theory | I impose previously neglected symmetry conditions in Leggett's non-local
hidden variable theory that are required by the conditions in a recent
experimental test of this theory. These conditions lead to an inequality for
the polarization correlation function that has a maximal violation from the
quantum predictions that is 2.5 times larger than reported in this article.
Furthermore, when these symmetry conditions are applicable, Leggett's non-local
theory also cannot model the observed quantum correlations in previous
experiments.
| quant-ph | i impose previously neglected symmetry conditions in leggetts nonlocal hidden variable theory that are required by the conditions in a recent experimental test of this theory these conditions lead to an inequality for the polarization correlation function that has a maximal violation from the quantum predictions that is 25 times larger than reported in this article furthermore when these symmetry conditions are applicable leggetts nonlocal theory also cannot model the observed quantum correlations in previous experiments | [['i', 'impose', 'previously', 'neglected', 'symmetry', 'conditions', 'in', 'leggetts', 'nonlocal', 'hidden', 'variable', 'theory', 'that', 'are', 'required', 'by', 'the', 'conditions', 'in', 'a', 'recent', 'experimental', 'test', 'of', 'this', 'theory', 'these', 'conditions', 'lead', 'to', 'an', 'inequality', 'for', 'the', 'polarization', 'correlation', 'function', 'that', 'has', 'a', 'maximal', 'violation', 'from', 'the', 'quantum', 'predictions', 'that', 'is', '25', 'times', 'larger', 'than', 'reported', 'in', 'this', 'article', 'furthermore', 'when', 'these', 'symmetry', 'conditions', 'are', 'applicable', 'leggetts', 'nonlocal', 'theory', 'also', 'can', 'not', 'model', 'the', 'observed', 'quantum', 'correlations', 'in', 'previous', 'experiments']] | [-0.09831154794287082, 0.18068374490970898, -0.10838158952689113, 0.09870584752235272, -0.050309209020010064, -0.1773940020349699, 0.004885182070376521, 0.33516838994215836, -0.21640581915808188, -0.3001363407578561, 0.07296386189220545, -0.2668679439789289, -0.16277276588507095, 0.17668269775118436, -0.0413767508678622, 0.09321041675526406, 0.028874785336968186, 0.01551961267439576, -0.10457147809362353, -0.2485092089499359, 0.2845447484778797, 0.024976158983303937, 0.3178309500217438, 0.09147209685005538, -0.0018680571614728345, -0.05096360942493979, 0.008953512380165713, 0.055149000029188475, -0.14780251696762892, 0.07495648367935187, 0.21075324718719468, 0.09396345314702817, 0.22546724109100058, -0.4989788634490899, -0.25162148932841694, 0.10436472595463712, 0.08473067823192709, 0.14327912924012967, -0.04836864835981812, -0.2918707174309469, 0.06498907662492681, -0.14872052458828533, -0.14257978039563862, -0.07575672700420602, 0.011060934734542841, -0.06272929828226953, -0.31088817750357767, 0.1669626362956667, 0.06784599025842625, 0.05949409275811601, -0.04059319675283192, -0.07630224070396854, 0.005185939286920157, 0.03280047641034456, 0.058965544889124664, 0.025201050975880067, 0.06840747567317025, -0.13156782686045126, -0.15509755499343472, 0.34530283392153005, -0.04507486955599115, -0.22583042171045944, 0.18629332618521793, -0.17158699770421756, -0.18252944458251844, 0.06711860798758926, 0.1020966750605927, 0.12165641943718512, -0.17667888272224846, 0.07806534028624172, -0.11216240404657536, 0.1761468296096503, 0.03508696776161623, 0.09583418716543488, 0.13733294803358906, 0.06247802811384491, 0.06822947907418787, 0.07959908450191672, -0.0420664588787726, -0.13337362592725396, -0.39545839272633, -0.09673529529532829, -0.1746903536176043, 0.07579002442014518, -0.06946442887041863, -0.07060960272641538, 0.34475262833202813, 0.2224372541229543, 0.16173259409555754, 0.0213786009487442, 0.2244974280187449, 0.14085354525354002, 0.1221014288096846, -0.004780636084350673, 0.3204313133444105, 0.12440555738043282, 0.08258936463480258, -0.2117635205285261, 0.10754820744827535, 0.008116450039790822] |
710.3221 | Toward gauge independent study of confinement in SU(3) Yang-Mills theory | Dual superconductivity is believed to be a promising mechanism for quark
confinement and has been investigated on a lattice effectively by a particular
gauge called the maximal Abelian (MA) gauge. We propose a new formulation of
SU(3) Yang-Mills theory on a lattice based on a non-linear change of variables
where the new field variables are expected to reduce to those of the
Cho-Faddeev-Niemi- Shabanov decomposition in the continuum limit. By
introducing a new variable, say color field, carrying the color direction with
it, this formulation enables us to restore and maintain color symmetry that was
lost in the conventional MA gauge due to the naive separation of the gauge
potential into diagonal and off-diagonal components. An advantage of this
formulation is that we can define gaugeinvariant magnetic monopoles without
relying on specific gauges to investigate quark confinement from the viewpoint
of dual superconductivity. In this talk, we will present the relevant lattice
formulation to realize the above advantages and preliminary results of
numerical simulations to demonstrate the validity of this formulation. This
SU(3) formulation is an extension of the SU(2) version already proposed by us
in the previous conference.
| hep-lat | dual superconductivity is believed to be a promising mechanism for quark confinement and has been investigated on a lattice effectively by a particular gauge called the maximal abelian ma gauge we propose a new formulation of su3 yangmills theory on a lattice based on a nonlinear change of variables where the new field variables are expected to reduce to those of the chofaddeevniemi shabanov decomposition in the continuum limit by introducing a new variable say color field carrying the color direction with it this formulation enables us to restore and maintain color symmetry that was lost in the conventional ma gauge due to the naive separation of the gauge potential into diagonal and offdiagonal components an advantage of this formulation is that we can define gaugeinvariant magnetic monopoles without relying on specific gauges to investigate quark confinement from the viewpoint of dual superconductivity in this talk we will present the relevant lattice formulation to realize the above advantages and preliminary results of numerical simulations to demonstrate the validity of this formulation this su3 formulation is an extension of the su2 version already proposed by us in the previous conference | [['dual', 'superconductivity', 'is', 'believed', 'to', 'be', 'a', 'promising', 'mechanism', 'for', 'quark', 'confinement', 'and', 'has', 'been', 'investigated', 'on', 'a', 'lattice', 'effectively', 'by', 'a', 'particular', 'gauge', 'called', 'the', 'maximal', 'abelian', 'ma', 'gauge', 'we', 'propose', 'a', 'new', 'formulation', 'of', 'su3', 'yangmills', 'theory', 'on', 'a', 'lattice', 'based', 'on', 'a', 'nonlinear', 'change', 'of', 'variables', 'where', 'the', 'new', 'field', 'variables', 'are', 'expected', 'to', 'reduce', 'to', 'those', 'of', 'the', 'chofaddeevniemi', 'shabanov', 'decomposition', 'in', 'the', 'continuum', 'limit', 'by', 'introducing', 'a', 'new', 'variable', 'say', 'color', 'field', 'carrying', 'the', 'color', 'direction', 'with', 'it', 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710.3222 | Infrared catastrophe in two-quasiparticle collision integral | Relaxation of a non-equilibrium state in a disordered metal with a
spin-dependent electron energy distribution is considered. The collision
integral due to the electron-electron interaction is computed within the
approximation of a two-quasiparticle scattering. We show that the spin-flip
scattering processes with a small energy transfer may lead to the divergence of
the collision integral for a quasi one-dimensional wire. This divergence is
present only for a spin-dependent electron energy distribution which
corresponds to the total electron spin magnetization M=0 and only for non-zero
interaction in the triplet channel. In this case a non-perturbative treatment
of the electron-electron interaction is needed to provide an effective infrared
cut-off.
| cond-mat.mes-hall | relaxation of a nonequilibrium state in a disordered metal with a spindependent electron energy distribution is considered the collision integral due to the electronelectron interaction is computed within the approximation of a twoquasiparticle scattering we show that the spinflip scattering processes with a small energy transfer may lead to the divergence of the collision integral for a quasi onedimensional wire this divergence is present only for a spindependent electron energy distribution which corresponds to the total electron spin magnetization m0 and only for nonzero interaction in the triplet channel in this case a nonperturbative treatment of the electronelectron interaction is needed to provide an effective infrared cutoff | [['relaxation', 'of', 'a', 'nonequilibrium', 'state', 'in', 'a', 'disordered', 'metal', 'with', 'a', 'spindependent', 'electron', 'energy', 'distribution', 'is', 'considered', 'the', 'collision', 'integral', 'due', 'to', 'the', 'electronelectron', 'interaction', 'is', 'computed', 'within', 'the', 'approximation', 'of', 'a', 'twoquasiparticle', 'scattering', 'we', 'show', 'that', 'the', 'spinflip', 'scattering', 'processes', 'with', 'a', 'small', 'energy', 'transfer', 'may', 'lead', 'to', 'the', 'divergence', 'of', 'the', 'collision', 'integral', 'for', 'a', 'quasi', 'onedimensional', 'wire', 'this', 'divergence', 'is', 'present', 'only', 'for', 'a', 'spindependent', 'electron', 'energy', 'distribution', 'which', 'corresponds', 'to', 'the', 'total', 'electron', 'spin', 'magnetization', 'm0', 'and', 'only', 'for', 'nonzero', 'interaction', 'in', 'the', 'triplet', 'channel', 'in', 'this', 'case', 'a', 'nonperturbative', 'treatment', 'of', 'the', 'electronelectron', 'interaction', 'is', 'needed', 'to', 'provide', 'an', 'effective', 'infrared', 'cutoff']] | [-0.1676549093958826, 0.18382169572741477, -0.10244049292893331, 0.1294847722274086, -0.014247346917498056, -0.11861898156457415, 0.0199071264708258, 0.3601330147934294, -0.24931511027024728, -0.25164961424073046, -0.024202064505482318, -0.2999310758417455, -0.043904081896539326, 0.12960681095327659, 0.06815576607962008, 0.01525687897212316, 0.04235929326441522, 0.025612999900803405, -0.07911090247080635, -0.16573711287526188, 0.3287120706958818, 0.05417557340115309, 0.24390895823974199, 0.15364262936462728, 0.08143146616345812, 0.10480522856042311, 0.07289480869701812, -0.024605790257593182, -0.11880043264138175, 0.09566848612364347, 0.24746567527186908, -0.08531908945302331, 0.21956354615422158, -0.4270929190391135, -0.2220542330869308, 0.048648907594104236, 0.15399944444108649, 0.15309286645339437, -0.05474906838194371, -0.21495449612413264, -0.03199228351047941, -0.20518645785409503, -0.14062221487548865, -0.05326896535981203, 0.02853325962428456, 0.015373980722207333, -0.3619536663727643, 0.12036110379240283, 0.04176519255623848, -0.00677682022416146, -0.08764005451959288, -0.08122512352626736, -0.010164924775398224, 0.05142260527360105, 0.04378110719148383, 0.05052252962018981, 0.1380994848158454, -0.1480627315963192, -0.07055725106451591, 0.363488532776866, -0.08133439983841832, -0.18455239570978157, 0.1635987083607127, -0.16888745560824314, -0.03223064550520661, 0.22300131982801674, 0.13226991647497585, 0.10150161794186613, -0.20278133749722493, 0.10160498872614752, -0.01401338872508468, 0.12640185888272396, 0.013417786476855105, 0.05943230680999494, 0.19620307566702505, 0.1879546949204719, 0.07338109731273813, 0.11627832102093184, -0.16569618625287838, -0.0939250244262898, -0.3184172462358653, -0.14854677836193103, -0.24154996878476204, 0.1308228824609699, -0.03405971082009562, -0.18474136821699338, 0.37342802187532326, 0.11572985020009191, 0.19991170856492402, -0.01688371376661044, 0.28915418564368073, 0.20502748443945268, 0.06960069523715179, 0.049580136973902615, 0.26288059976215206, 0.15290820083328496, 0.09023526933470688, -0.335534079485599, 0.03689436249817922, 0.020566742658336586] |
710.3223 | Observational Test of Coronal Magnetic Field Models I. Comparison with
Potential Field Model | Recent advances have made it possible to obtain two-dimensional line-of-sight
magnetic field maps of the solar corona from spectropolarimetric observations
of the Fe XIII 1075 nm forbidden coronal emission line. Together with the
linear polarization measurements that map the azimuthal direction of the
coronal magnetic field, these coronal vector magnetograms now allow for direct
observational testing of theoretical coronal magnetic field models. This paper
presents a study testing the validity of potential-field coronal magnetic field
models. We constructed a theoretical coronal magnetic field model of active
region AR 10582 observed by the SOLARC coronagraph in 2004 by a global
potential field extrapolation of the synoptic map of Carrington Rotation 2014.
Synthesized linear and circular polarization maps from thin layers of the
coronal magnetic field model above the active region along the line of sight
are compared with the observed maps. We found that reasonable agreement occurs
from layers located just above the sunspot of AR 10582, near the plane of the
sky. This result provides the first observational evidence that potential field
extrapolation can yield a reasonable approximation of the magnetic field
configuration of the solar corona for simple and stable active regions.
| astro-ph | recent advances have made it possible to obtain twodimensional lineofsight magnetic field maps of the solar corona from spectropolarimetric observations of the fe xiii 1075 nm forbidden coronal emission line together with the linear polarization measurements that map the azimuthal direction of the coronal magnetic field these coronal vector magnetograms now allow for direct observational testing of theoretical coronal magnetic field models this paper presents a study testing the validity of potentialfield coronal magnetic field models we constructed a theoretical coronal magnetic field model of active region ar 10582 observed by the solarc coronagraph in 2004 by a global potential field extrapolation of the synoptic map of carrington rotation 2014 synthesized linear and circular polarization maps from thin layers of the coronal magnetic field model above the active region along the line of sight are compared with the observed maps we found that reasonable agreement occurs from layers located just above the sunspot of ar 10582 near the plane of the sky this result provides the first observational evidence that potential field extrapolation can yield a reasonable approximation of the magnetic field configuration of the solar corona for simple and stable active regions | [['recent', 'advances', 'have', 'made', 'it', 'possible', 'to', 'obtain', 'twodimensional', 'lineofsight', 'magnetic', 'field', 'maps', 'of', 'the', 'solar', 'corona', 'from', 'spectropolarimetric', 'observations', 'of', 'the', 'fe', 'xiii', '1075', 'nm', 'forbidden', 'coronal', 'emission', 'line', 'together', 'with', 'the', 'linear', 'polarization', 'measurements', 'that', 'map', 'the', 'azimuthal', 'direction', 'of', 'the', 'coronal', 'magnetic', 'field', 'these', 'coronal', 'vector', 'magnetograms', 'now', 'allow', 'for', 'direct', 'observational', 'testing', 'of', 'theoretical', 'coronal', 'magnetic', 'field', 'models', 'this', 'paper', 'presents', 'a', 'study', 'testing', 'the', 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710.3224 | Outflowing atomic and molecular gas at $z \sim 0.67$ towards 1504+377 | We report the detection of OH 1667 MHz and wide HI 21cm absorption at $z \sim
0.67$ towards the red quasar 1504+377, with the Green Bank Telescope and the
Giant Metrewave Radio Telescope. The HI 21cm absorption extends over a velocity
range of $\sim 600$ km/s blueward of the quasar redshift ($z=0.674$), with the
new OH 1667 MHz absorption component at $\sim -430$ \kms, nearly coincident
with earlier detections of mm-wave absorption at $z \sim 0.6715$. The atomic
and molecular absorption appear to arise from a fast gas outflow from the
quasar, with a mass outflow rate ${\dot M} \sim 12 M_\odot$ yr$^{-1}$ and a
molecular hydrogen fraction $f_{\rm H_2} \equiv (N_{\rm H_2}/N_{\rm HI}) \sim
0.2$. The radio structure of 1504+377 is consistent with the outflow arising
due to a jet-cloud interaction, followed by rapid cooling of the cloud
material. The observed ratio of HCO$^+$ to OH column densities is $\sim 20$
times higher than typical values in Galactic and high-$z$ absorbers. This could
arise due to small-scale structure in the outflowing gas on sub-parsec scales,
which would also explain the observed variability in the HI 21cm line.
| astro-ph | we report the detection of oh 1667 mhz and wide hi 21cm absorption at z sim 067 towards the red quasar 1504377 with the green bank telescope and the giant metrewave radio telescope the hi 21cm absorption extends over a velocity range of sim 600 kms blueward of the quasar redshift z0674 with the new oh 1667 mhz absorption component at sim 430 kms nearly coincident with earlier detections of mmwave absorption at z sim 06715 the atomic and molecular absorption appear to arise from a fast gas outflow from the quasar with a mass outflow rate dot m sim 12 m_odot yr1 and a molecular hydrogen fraction f_rm h_2 equiv n_rm h_2n_rm hi sim 02 the radio structure of 1504377 is consistent with the outflow arising due to a jetcloud interaction followed by rapid cooling of the cloud material the observed ratio of hco to oh column densities is sim 20 times higher than typical values in galactic and highz absorbers this could arise due to smallscale structure in the outflowing gas on subparsec scales which would also explain the observed variability in the hi 21cm line | [['we', 'report', 'the', 'detection', 'of', 'oh', '1667', 'mhz', 'and', 'wide', 'hi', '21cm', 'absorption', 'at', 'z', 'sim', '067', 'towards', 'the', 'red', 'quasar', '1504377', 'with', 'the', 'green', 'bank', 'telescope', 'and', 'the', 'giant', 'metrewave', 'radio', 'telescope', 'the', 'hi', '21cm', 'absorption', 'extends', 'over', 'a', 'velocity', 'range', 'of', 'sim', '600', 'kms', 'blueward', 'of', 'the', 'quasar', 'redshift', 'z0674', 'with', 'the', 'new', 'oh', '1667', 'mhz', 'absorption', 'component', 'at', 'sim', '430', 'kms', 'nearly', 'coincident', 'with', 'earlier', 'detections', 'of', 'mmwave', 'absorption', 'at', 'z', 'sim', '06715', 'the', 'atomic', 'and', 'molecular', 'absorption', 'appear', 'to', 'arise', 'from', 'a', 'fast', 'gas', 'outflow', 'from', 'the', 'quasar', 'with', 'a', 'mass', 'outflow', 'rate', 'dot', 'm', 'sim', '12', 'm_odot', 'yr1', 'and', 'a', 'molecular', 'hydrogen', 'fraction', 'f_rm', 'h_2', 'equiv', 'n_rm', 'h_2n_rm', 'hi', 'sim', '02', 'the', 'radio', 'structure', 'of', '1504377', 'is', 'consistent', 'with', 'the', 'outflow', 'arising', 'due', 'to', 'a', 'jetcloud', 'interaction', 'followed', 'by', 'rapid', 'cooling', 'of', 'the', 'cloud', 'material', 'the', 'observed', 'ratio', 'of', 'hco', 'to', 'oh', 'column', 'densities', 'is', 'sim', '20', 'times', 'higher', 'than', 'typical', 'values', 'in', 'galactic', 'and', 'highz', 'absorbers', 'this', 'could', 'arise', 'due', 'to', 'smallscale', 'structure', 'in', 'the', 'outflowing', 'gas', 'on', 'subparsec', 'scales', 'which', 'would', 'also', 'explain', 'the', 'observed', 'variability', 'in', 'the', 'hi', '21cm', 'line']] | [-0.09806778362908915, 0.10946918061623971, 0.0960328098109165, 0.006780144361565347, -0.05945647341870993, -0.07381761309186943, 0.04845585996193475, 0.4716301098303065, -0.13841093850927683, -0.3168985753070787, 0.016865660079571677, -0.29692737317944323, 0.03612854381096982, 0.16718351447959864, 0.08355163582355538, -0.061080617853615286, -0.01074402480668648, -0.2014236231830704, -0.03738347822067117, -0.1765583150974307, 0.2263104215600207, 0.12987091544445584, 0.1389030033590201, 0.021271217143661827, 0.10909144956455694, -0.21610772833508016, -0.0868648672864462, -0.09898548928481307, -0.16526921151862403, 0.035483824363986, 0.2748563579169784, 0.09755913336898704, 0.22307116970760382, -0.27262142004796347, -0.18085011041626498, 0.05390934729083477, 0.2262383437196373, 0.04196242387266575, 0.006160357348045813, -0.3394034686065762, 0.04284608726964785, -0.23990208542615662, -0.19934507975700855, 0.1630827165997582, 0.053255183001359306, 0.048164684039189436, -0.20774874541860155, 0.21883731230675457, -0.05900700636655907, 0.1254360299701217, -0.07195821896454961, -0.11465238444914258, -0.07693530539625777, -0.059265066073097984, -0.006747557916500366, 0.13463115861418, 0.2764891511633422, -0.13365333633054596, 0.03967865857440734, 0.45422057019638234, -0.15544083817962803, 0.12895709943901645, 0.22167116288055, -0.27531275438536673, -0.21848138881582624, 0.3026875785699552, 0.1383582735892202, 0.03667718012590735, -0.06308633464966173, -0.017580255810387656, -0.02392821021052332, 0.3015770047872526, 0.09167351093794641, 0.10490822986078759, 0.3350418069237039, 0.016924729641995144, 0.08568904010192212, 0.034139474069501165, -0.3343610744961522, 0.028546684391063747, -0.1799876521484, -0.08652658594385441, -0.10782321466099919, 0.19547195769490197, -0.16589040526205132, -0.05124301575073372, 0.3155705994554882, 0.10198986986804692, 0.2959513770927843, 0.08426812023771774, 0.3330776845919263, 0.12024404562416847, 0.11124471244733028, 0.12585271332703044, 0.30216400360413753, 0.22865454301548502, 0.13368105745742026, -0.24086402816687777, 0.04505541061319645, -0.03571412637015509] |
710.3225 | Phenomenological and ontological models in natural science | The observation of the nature and world represents the main source of human
knowledge on the basis of our reason. At the present it is also the use of
precise measurement approaches, which may contribute significantly to the
knowledge of the world but cannot substitute fully the knowledge of the whole
reality obtained also with the help of our senses. It is not possible to omit
the ontological nature of matter world. However, any metaphysical consideration
was abandoned when mainly under the influence of positivistic philosophy
phenomenological models started to be strongly preferred and any intuitive
approach based on human senses has been refused. Their success in application
region has seemed to provide decisive support for such preference. However, it
is limited practically to the cases when only interpolation between measured
data is involved. When the extrapolation is required the ontological models are
much more reliable and practically indispensable in realistic approach.
| physics.hist-ph physics.gen-ph | the observation of the nature and world represents the main source of human knowledge on the basis of our reason at the present it is also the use of precise measurement approaches which may contribute significantly to the knowledge of the world but cannot substitute fully the knowledge of the whole reality obtained also with the help of our senses it is not possible to omit the ontological nature of matter world however any metaphysical consideration was abandoned when mainly under the influence of positivistic philosophy phenomenological models started to be strongly preferred and any intuitive approach based on human senses has been refused their success in application region has seemed to provide decisive support for such preference however it is limited practically to the cases when only interpolation between measured data is involved when the extrapolation is required the ontological models are much more reliable and practically indispensable in realistic approach | [['the', 'observation', 'of', 'the', 'nature', 'and', 'world', 'represents', 'the', 'main', 'source', 'of', 'human', 'knowledge', 'on', 'the', 'basis', 'of', 'our', 'reason', 'at', 'the', 'present', 'it', 'is', 'also', 'the', 'use', 'of', 'precise', 'measurement', 'approaches', 'which', 'may', 'contribute', 'significantly', 'to', 'the', 'knowledge', 'of', 'the', 'world', 'but', 'can', 'not', 'substitute', 'fully', 'the', 'knowledge', 'of', 'the', 'whole', 'reality', 'obtained', 'also', 'with', 'the', 'help', 'of', 'our', 'senses', 'it', 'is', 'not', 'possible', 'to', 'omit', 'the', 'ontological', 'nature', 'of', 'matter', 'world', 'however', 'any', 'metaphysical', 'consideration', 'was', 'abandoned', 'when', 'mainly', 'under', 'the', 'influence', 'of', 'positivistic', 'philosophy', 'phenomenological', 'models', 'started', 'to', 'be', 'strongly', 'preferred', 'and', 'any', 'intuitive', 'approach', 'based', 'on', 'human', 'senses', 'has', 'been', 'refused', 'their', 'success', 'in', 'application', 'region', 'has', 'seemed', 'to', 'provide', 'decisive', 'support', 'for', 'such', 'preference', 'however', 'it', 'is', 'limited', 'practically', 'to', 'the', 'cases', 'when', 'only', 'interpolation', 'between', 'measured', 'data', 'is', 'involved', 'when', 'the', 'extrapolation', 'is', 'required', 'the', 'ontological', 'models', 'are', 'much', 'more', 'reliable', 'and', 'practically', 'indispensable', 'in', 'realistic', 'approach']] | [-0.038917900946484334, 0.06381243627725376, -0.10528843450433045, 0.09221320361769424, -0.1542057047531106, -0.12977910668169165, 0.053526133367353505, 0.37758131758035984, -0.21144364645181138, -0.34422909750244, 0.10805954691098724, -0.23517024226991148, -0.1399683862105864, 0.2036648041803049, -0.0899324069711535, 0.024361549038135637, 0.07451563215284955, 0.09212012116791943, -0.016629373326401523, -0.2550741448219306, 0.3304923634399398, 0.09028206656084341, 0.3141493966492514, 0.08944462117430102, 0.06115824501014929, -0.009260134470156011, -0.05046298851036875, -0.01668123689127884, -0.05708007084348793, 0.1443108117726808, 0.27241896701337703, 0.1908273970003672, 0.2931604333514092, -0.4415621743628792, -0.22390682793837163, 0.10957299334490124, 0.13773952075584603, 0.11644696962511399, -0.0007509158600275435, -0.2897995993756732, 0.07955022088291575, -0.13661402504087664, -0.11378248196302189, -0.0928306514275522, 0.04094509934600187, -0.05128256793840015, -0.23909922633198352, 0.03177552988556415, 0.08892438719178447, 0.04862060351601613, -0.05856559802230228, -0.10982625404170417, 0.0035417610535921616, 0.18495343203235606, 0.07920893788295098, 0.027763150623250826, 0.1240563060315265, -0.1269297101200114, -0.0952903602661845, 0.4347698980017133, 0.01970282863229026, -0.22690804971357673, 0.21542663292219752, -0.13787542850698278, -0.1164900951507483, 0.10195087196055824, 0.10833546360673114, 0.08807509652066145, -0.149185163775376, 0.06055351329116711, -0.025750487415862628, 0.1910912511654174, 0.01550215468711518, 0.03252320285594346, 0.21768112376094886, 0.1887713130540671, 0.01908730452475473, 0.04285426828492847, -0.03983457869198782, -0.11553088407027627, -0.2841059354139991, -0.13444488202381477, -0.19249823475043515, 0.032205428369837856, -0.03841062844550203, -0.13657354468896718, 0.3551527600114544, 0.23051496404999247, 0.14700271554513428, -0.0038269953787010286, 0.3256070153921648, 0.08399581931245337, 0.1076914146938209, 0.04181639182387419, 0.2932813562318877, 0.06496700212234643, 0.12257882798915376, -0.13715174528191876, 0.18739672608557917, -0.029165167102797165] |
710.3226 | Lens sequences | A family of sequences produced by a non-homogeneous linear recurrence formula
derived from the geometry of circles inscribed in lenses is introduced and
studied. Mysterious ``underground'' sequences underlying them are discovered in
this paper.
| math.NT math.MG | a family of sequences produced by a nonhomogeneous linear recurrence formula derived from the geometry of circles inscribed in lenses is introduced and studied mysterious underground sequences underlying them are discovered in this paper | [['a', 'family', 'of', 'sequences', 'produced', 'by', 'a', 'nonhomogeneous', 'linear', 'recurrence', 'formula', 'derived', 'from', 'the', 'geometry', 'of', 'circles', 'inscribed', 'in', 'lenses', 'is', 'introduced', 'and', 'studied', 'mysterious', 'underground', 'sequences', 'underlying', 'them', 'are', 'discovered', 'in', 'this', 'paper']] | [-0.17336892706396825, 0.10846436188063201, -0.0692646524266285, 0.1349335140274728, -0.06548166077803164, -0.12877997193102012, -0.02242171164150076, 0.3236954892602037, -0.2997172612916021, -0.2694256277207066, 0.12096690667984898, -0.3020532933228156, -0.22910459076657014, 0.2087422201738638, -0.09312919916256386, 0.06490530091447427, 0.036603453486938685, -0.0004897172946263762, -0.06168649944148081, -0.2718533940394135, 0.30057743651901975, 0.010040538604645169, 0.22062895708607838, -0.07588495412731872, 0.16224290286738643, 0.01796743946204729, -0.07788813273038935, 0.04547865875065327, -0.2066737062242978, 0.18328546582008987, 0.2663224973880193, 0.10911283285959679, 0.18511370887212894, -0.38768410830594163, -0.176831354304929, 0.12447931343579993, 0.14167757733615444, 0.05351257110562395, -0.11939399145707927, -0.3124337729943149, 0.06338649821084212, -0.10202632620177396, -0.19569668383337557, 0.015646296553313732, 0.03439667464836555, 0.07380461622960865, -0.19097278321928837, 0.031739454189151084, 0.12820052513886956, 0.10944369369569946, -0.006748309571241193, -0.09164083973668954, 0.035686053636976904, 0.048158307422829026, 0.03328418774831602, -0.006818392875549548, 0.026289019254310167, -0.0467826266266296, -0.10201146278311224, 0.36395645624211553, -0.02372831796460292, -0.15486112960121212, 0.1166254705954891, -0.13303487384965754, -0.13533606468562914, 0.1441788670113858, 0.16624384220032132, 0.13719747031984084, -0.22058781934902072, 0.08838708098697037, -0.08812422260148998, 0.10447933446780286, 0.22816447002868004, 0.00029117348329985845, 0.2404333068167462, 0.1262941717663232, -0.0040528835071360365, 0.20400062992292292, -0.050166292301796866, -0.08048143922625219, -0.2768039832110791, -0.11235029025770285, -0.20015519000042012, 0.06739775367724873, -0.02988275549304329, -0.16192632094573448, 0.3369927708716953, -0.002440954010714503, 0.18932616612052217, 0.051695058505763024, 0.21549037507707802, 0.054742069531451255, 0.06368659565444379, -0.0010336709058131365, 0.21141309367821498, 0.20159760841360205, 0.08790602874668206, -0.07878704675171963, 0.08328176065183737, 0.16395744415657484] |
710.3227 | Multi-peak solutions for magnetic NLS equations without non--degeneracy
conditions | In the work we consider the magnetic NLS equation
(\frac{\hbar}{i} \nabla -A(x))^2 u + V(x)u - f(|u|^2)u = 0 \quad {in} \R^N
where $N \geq 3$, $A \colon \R^N \to \R^N$ is a magnetic potential, possibly
unbounded, $V \colon \R^N \to \R$ is a multi-well electric potential, which can
vanish somewhere, $f$ is a subcritical nonlinear term. We prove the existence
of a semiclassical multi-peak solution $u\colon \R^N \to \C$, under conditions
on the nonlinearity which are nearly optimal.
| math.AP | in the work we consider the magnetic nls equation frachbari nabla ax2 u vxu fu2u 0 quad in rn where n geq 3 a colon rn to rn is a magnetic potential possibly unbounded v colon rn to r is a multiwell electric potential which can vanish somewhere f is a subcritical nonlinear term we prove the existence of a semiclassical multipeak solution ucolon rn to c under conditions on the nonlinearity which are nearly optimal | [['in', 'the', 'work', 'we', 'consider', 'the', 'magnetic', 'nls', 'equation', 'frachbari', 'nabla', 'ax2', 'u', 'vxu', 'fu2u', '0', 'quad', 'in', 'rn', 'where', 'n', 'geq', '3', 'a', 'colon', 'rn', 'to', 'rn', 'is', 'a', 'magnetic', 'potential', 'possibly', 'unbounded', 'v', 'colon', 'rn', 'to', 'r', 'is', 'a', 'multiwell', 'electric', 'potential', 'which', 'can', 'vanish', 'somewhere', 'f', 'is', 'a', 'subcritical', 'nonlinear', 'term', 'we', 'prove', 'the', 'existence', 'of', 'a', 'semiclassical', 'multipeak', 'solution', 'ucolon', 'rn', 'to', 'c', 'under', 'conditions', 'on', 'the', 'nonlinearity', 'which', 'are', 'nearly', 'optimal']] | [-0.2520607321120396, 0.060800340423058416, 0.04902532621211297, -0.011404638038633542, -0.08006495611138038, -0.23006085771438037, -0.08208734886343214, 0.32929206412990353, -0.3126646466238575, -0.11035113498518193, 0.09618519304785877, -0.3905123223273738, -0.13343518745544292, 0.14064980000005783, -0.0560759391283264, 0.0405012805996513, -0.028542090333192736, 0.08700610284467002, -0.06039522428417931, -0.20243638907748, 0.31947266617538156, -0.19007829929123055, 0.13712598827063432, 0.07980896858105159, 0.06734473809499193, -0.08492074864035523, 0.1727408911353229, -0.021084428727123385, -0.24978554695592942, -0.005494411971822784, 0.21206264608111736, 0.043896466924657894, 0.34234239641778375, -0.4027315399961898, -0.21919471606442303, 0.2346189606657906, 0.15497517557437154, -0.03257558318924763, -0.0203854809058956, -0.3044919576495886, 0.11260483876135, -0.048790909205185806, -0.20441090837876136, -0.03317328708598743, 0.15827022334309043, 0.08145403215107885, -0.4698271698293251, 0.112971076238397, 0.13216261316021602, -0.04823186520701023, -0.15814651907547503, -0.0804042646714889, -0.06555261981447001, -0.018823006171481433, -0.028392712728787416, 0.2641518101382472, 0.04701984427063852, -0.08032899564509657, 0.03219776966835599, 0.34682000894099474, -0.1257676859260411, -0.2665987394095675, 0.07323935690235246, -0.2191854076006928, -0.08775792160776218, 0.07457596786018159, 0.14991210398541108, 0.19528008947098577, -0.11116872306258695, 0.3263028118306318, -0.03804667720042572, 0.14615034973374694, 0.13560104334248682, -0.02875199356443576, 0.07468607778522514, 0.09251990412185723, 0.13271424601584472, 0.10058361348519856, -0.054463386840841455, 0.016453842456276353, -0.3852232309007967, -0.10050735603766264, -0.13975225615541678, 0.2394170166446349, -0.09953095153527888, -0.17132356010276723, 0.3119944545371156, 0.05183302872575115, 0.18912211058006898, 0.056849392214349495, 0.185083769261837, 0.13776590193093224, -0.04124176307625414, 0.08296086904089395, 0.10759856023297117, 0.12262286777872392, 0.13355197782653408, -0.2287903101296743, -0.056821257838778, 0.11146193642068554] |
710.3228 | Have loose globular clusters collapsed yet? | We report on the discovery of a surprising observed correlation between the
slope of the low-mass stellar global mass function (GMF) of globular clusters
(GCs) and their central concentration parameter c = log(r_t/r_c), i.e. the
logarithmic ratio of tidal and core radii. This result is based on the analysis
of a sample of twenty Galactic GCs, with solid GMF measurements from deep HST
or VLT data, representative of the entire population of Milky Way GCs. While
all high-concentration clusters in the sample have a steep GMF,
low-concentration clusters tend to have a flatter GMF implying that they have
lost many stars via evaporation or tidal stripping. No GCs are found with a
flat GMF and high central concentration. This finding appears
counter-intuitive, since the same two-body relaxation mechanism that causes
stars to evaporate and the cluster to eventually dissolve should also lead to
higher central density and possibly core-collapse. Therefore, severely depleted
GCs should be in a post core-collapse state, contrary to what is suggested by
their low concentration. Several hypotheses can be put forth to explain the
observed trend, none of which however seems completely satisfactory. It is
likely that GCs with a flat GMF have a much denser and smaller core than
suggested by their surface brightness profile and may well be undergoing
collapse at present. It is, therefore, likely that the number of post
core-collapse clusters in the Galaxy is much larger than thought so far.
| astro-ph | we report on the discovery of a surprising observed correlation between the slope of the lowmass stellar global mass function gmf of globular clusters gcs and their central concentration parameter c logr_tr_c ie the logarithmic ratio of tidal and core radii this result is based on the analysis of a sample of twenty galactic gcs with solid gmf measurements from deep hst or vlt data representative of the entire population of milky way gcs while all highconcentration clusters in the sample have a steep gmf lowconcentration clusters tend to have a flatter gmf implying that they have lost many stars via evaporation or tidal stripping no gcs are found with a flat gmf and high central concentration this finding appears counterintuitive since the same twobody relaxation mechanism that causes stars to evaporate and the cluster to eventually dissolve should also lead to higher central density and possibly corecollapse therefore severely depleted gcs should be in a post corecollapse state contrary to what is suggested by their low concentration several hypotheses can be put forth to explain the observed trend none of which however seems completely satisfactory it is likely that gcs with a flat gmf have a much denser and smaller core than suggested by their surface brightness profile and may well be undergoing collapse at present it is therefore likely that the number of post corecollapse clusters in the galaxy is much larger than thought so far | [['we', 'report', 'on', 'the', 'discovery', 'of', 'a', 'surprising', 'observed', 'correlation', 'between', 'the', 'slope', 'of', 'the', 'lowmass', 'stellar', 'global', 'mass', 'function', 'gmf', 'of', 'globular', 'clusters', 'gcs', 'and', 'their', 'central', 'concentration', 'parameter', 'c', 'logr_tr_c', 'ie', 'the', 'logarithmic', 'ratio', 'of', 'tidal', 'and', 'core', 'radii', 'this', 'result', 'is', 'based', 'on', 'the', 'analysis', 'of', 'a', 'sample', 'of', 'twenty', 'galactic', 'gcs', 'with', 'solid', 'gmf', 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710.3229 | Using the QBO to predict the number of hurricanes hitting the U.S | A simple study of the relationship between the QBO and the number of
hurricanes in the Atlantic, both in the Basin and hitting the U.S. coastline,
demonstrates that the QBO is not a particularly useful index to help predict
hurricane numbers on five-year time scales. It is shown that there is very
little difference between the number of hurricanes following easterly winds in
the equatorial stratosphere and the number that follow westerly winds. Given
this it is reasonable one would make better predictions just using the mean
number of hurricanes in lieu of using the QBO and this is also simply
demonstrated here.
| physics.ao-ph | a simple study of the relationship between the qbo and the number of hurricanes in the atlantic both in the basin and hitting the us coastline demonstrates that the qbo is not a particularly useful index to help predict hurricane numbers on fiveyear time scales it is shown that there is very little difference between the number of hurricanes following easterly winds in the equatorial stratosphere and the number that follow westerly winds given this it is reasonable one would make better predictions just using the mean number of hurricanes in lieu of using the qbo and this is also simply demonstrated here | [['a', 'simple', 'study', 'of', 'the', 'relationship', 'between', 'the', 'qbo', 'and', 'the', 'number', 'of', 'hurricanes', 'in', 'the', 'atlantic', 'both', 'in', 'the', 'basin', 'and', 'hitting', 'the', 'us', 'coastline', 'demonstrates', 'that', 'the', 'qbo', 'is', 'not', 'a', 'particularly', 'useful', 'index', 'to', 'help', 'predict', 'hurricane', 'numbers', 'on', 'fiveyear', 'time', 'scales', 'it', 'is', 'shown', 'that', 'there', 'is', 'very', 'little', 'difference', 'between', 'the', 'number', 'of', 'hurricanes', 'following', 'easterly', 'winds', 'in', 'the', 'equatorial', 'stratosphere', 'and', 'the', 'number', 'that', 'follow', 'westerly', 'winds', 'given', 'this', 'it', 'is', 'reasonable', 'one', 'would', 'make', 'better', 'predictions', 'just', 'using', 'the', 'mean', 'number', 'of', 'hurricanes', 'in', 'lieu', 'of', 'using', 'the', 'qbo', 'and', 'this', 'is', 'also', 'simply', 'demonstrated', 'here']] | [-0.11567636926599678, 0.15206595496003272, -0.1014114127684276, 0.1350060457361464, -0.06485072976358018, -0.03809844128769434, 0.05181809191284611, 0.3414106589642543, -0.23281145036148215, -0.3227632841438923, 0.11884016245241882, -0.2644098365127823, -0.17827559612890326, 0.2564251121965427, -0.1101849044094459, -0.03919439102767162, 0.05975017269386105, 0.04185802634925247, 0.023336496659626876, -0.22049657546788526, 0.24854159852754307, 0.0838124469211958, 0.255999296419865, 0.06945527994946477, 0.07043515269653601, -0.069343439719269, -0.02436229500476524, 0.031860380528440466, -0.10493738570320363, 0.08795348632158441, 0.2189143029611232, 0.1584553621682221, 0.26597248824331365, -0.4418422956272815, -0.21893826774457126, 0.13136265831502172, 0.1060862775283947, 0.05884142202388459, -0.011601803016179756, -0.20089737727370077, 0.05358488163323078, -0.1759566733143428, -0.1365928103089405, 0.0008866912097606844, 0.06606399421173248, 0.02283109025690632, -0.23929987113145226, 0.0891219181100752, 0.02156794803992402, 0.12494533179888448, -0.021481796644754636, -0.0707319438360288, -0.08301704460574151, 0.14883452537469566, 0.126679062913398, 0.02561465072337068, 0.07169097213942593, -0.11211896237908202, -0.020741680094483985, 0.385830760345731, -0.05440167481310268, -0.14758333509100727, 0.20755444607218204, -0.231005697927067, -0.09528941089215065, 0.11479741277950771, 0.15780679471745582, 0.07493535617312182, -0.08781188809611265, -0.010816655802151676, -0.09509492647445318, 0.17243979133674603, 0.12082736149828122, -0.05524041170471357, 0.223794214477202, 0.18069095060328763, 0.09460263654535402, 0.10516592678478331, -0.15726279809808774, -0.09762581191884662, -0.2565373746244219, -0.12739457005354604, -0.15273876181686097, 0.01178918706800775, -0.08199097021670505, -0.1491742466666252, 0.39992980191538346, 0.177966950647759, 0.20942633560162435, 0.05020705424249172, 0.2707729776778701, 0.08209545042329622, 0.04180607685900646, 0.10640870634629165, 0.25883465162614017, 0.12463728409911533, 0.14567138195417603, -0.22548700980695183, 0.13255146573505644, 0.01921469993093639] |
710.323 | Superstring in the Presence of the Worldsheet Gauge Field | We study the superstring theory with an Abelian worldsheet gauge field. The
components of the gauge field appear as a space and a time coordinates. We call
them as "fictitious coordinates". The worldsheet supersymmetry and the
Poincar\'e symmetry of this model will be analyzed. The $T$-duality and
quantization of the two fictitious coordinates also will be obtained.
| hep-th | we study the superstring theory with an abelian worldsheet gauge field the components of the gauge field appear as a space and a time coordinates we call them as fictitious coordinates the worldsheet supersymmetry and the poincare symmetry of this model will be analyzed the tduality and quantization of the two fictitious coordinates also will be obtained | [['we', 'study', 'the', 'superstring', 'theory', 'with', 'an', 'abelian', 'worldsheet', 'gauge', 'field', 'the', 'components', 'of', 'the', 'gauge', 'field', 'appear', 'as', 'a', 'space', 'and', 'a', 'time', 'coordinates', 'we', 'call', 'them', 'as', 'fictitious', 'coordinates', 'the', 'worldsheet', 'supersymmetry', 'and', 'the', 'poincare', 'symmetry', 'of', 'this', 'model', 'will', 'be', 'analyzed', 'the', 'tduality', 'and', 'quantization', 'of', 'the', 'two', 'fictitious', 'coordinates', 'also', 'will', 'be', 'obtained']] | [-0.20636309617149987, 0.199855048089184, -0.13600101236972892, 0.1242509378965846, -0.1123686710601313, -0.10684134905929105, -0.02832992335070709, 0.35418215514928625, -0.25280082918572844, -0.2362412783202895, 0.10474950312064928, -0.2229315435285108, -0.18381441438472584, 0.06597304954847093, -0.06936751031561901, -0.020467354605595272, -0.025456963388837482, 0.08129166720206277, -0.1427538305022672, -0.3002313128427455, 0.32172223248339277, 0.04562340180079142, 0.2500463867592707, -0.02314842288921538, 0.136694146949275, 0.03355133805522009, -0.022977503996930625, 0.0207052506713744, -0.06385399105452132, 0.09686143451223247, 0.20024070257255644, 0.06967017760402278, 0.11039443487268791, -0.4563839085269393, -0.1851792534355793, 0.07356494946176545, 0.18335692042060064, 0.15554603225175748, 0.005236871197427574, -0.34292383942949145, -0.02290107368638641, -0.14220193811087756, -0.17631642591093846, -0.11392118090665654, -0.007463884633851417, -0.06709795752785315, -0.2133894088563689, -0.028780156506017146, 0.02268967146805504, 0.0933655991562103, -0.09728278528506819, -0.04165590732570803, -0.07494842548642242, 0.07877974302034106, 0.14721247284844713, 0.12593389590466886, 0.1363626377056598, -0.1608790442747832, -0.1445664799559796, 0.4116297493639745, -0.06378460956508653, -0.29432260276128847, 0.10448183294124248, -0.10054110317376622, -0.1666564347647261, 0.049916945373345366, 0.11114477006751194, 0.16358657563595394, -0.17041760178184823, 0.19329525724465943, -0.07578322073248656, 0.10378072492516878, 0.07675020179400842, 0.029505804605912744, 0.23663594804115987, 0.044516193271990405, 0.047445503254334255, 0.11995260588612341, -0.0930684573193726, -0.11026712864833443, -0.488259192229363, -0.19272118723510126, -0.11994282501798711, 0.0987246250897123, -0.13794315577685842, -0.16220827060833312, 0.39151166610648497, 0.11884674884117487, 0.1831743871433693, 0.03686278822357979, 0.18728145610606461, 0.14031489791038135, 0.10017731860933597, 0.018231305007806474, 0.21761456112736804, 0.14615372717053743, 0.0718034539175661, -0.24214516874206693, -0.19020935330282604, 0.1776918087383373] |
710.3231 | Optical Excitation of Nuclear Spin Coherence in Tm3+:YAG | A thulium-doped crystal is experimentally shown to be an excellent candidate
for broadband quantum storage in a solid-state medium. For the first time,
nuclear spin coherence is optically excited, detected and characterized in such
a crystal. The lifetime of the spin coherence -- the potential storage entity
-- is measured by means of Raman echo to be about 300 $\mu$s over a wide range
of ground state splittings. This flexibility, attractive for broadband
operation, and well fitted to existing quantum sources, results from the simple
hyperfine structure, contrasting with Pr- and Eu- doped crystals.
| quant-ph | a thuliumdoped crystal is experimentally shown to be an excellent candidate for broadband quantum storage in a solidstate medium for the first time nuclear spin coherence is optically excited detected and characterized in such a crystal the lifetime of the spin coherence the potential storage entity is measured by means of raman echo to be about 300 mus over a wide range of ground state splittings this flexibility attractive for broadband operation and well fitted to existing quantum sources results from the simple hyperfine structure contrasting with pr and eu doped crystals | [['a', 'thuliumdoped', 'crystal', 'is', 'experimentally', 'shown', 'to', 'be', 'an', 'excellent', 'candidate', 'for', 'broadband', 'quantum', 'storage', 'in', 'a', 'solidstate', 'medium', 'for', 'the', 'first', 'time', 'nuclear', 'spin', 'coherence', 'is', 'optically', 'excited', 'detected', 'and', 'characterized', 'in', 'such', 'a', 'crystal', 'the', 'lifetime', 'of', 'the', 'spin', 'coherence', 'the', 'potential', 'storage', 'entity', 'is', 'measured', 'by', 'means', 'of', 'raman', 'echo', 'to', 'be', 'about', '300', 'mus', 'over', 'a', 'wide', 'range', 'of', 'ground', 'state', 'splittings', 'this', 'flexibility', 'attractive', 'for', 'broadband', 'operation', 'and', 'well', 'fitted', 'to', 'existing', 'quantum', 'sources', 'results', 'from', 'the', 'simple', 'hyperfine', 'structure', 'contrasting', 'with', 'pr', 'and', 'eu', 'doped', 'crystals']] | [-0.08862064323045121, 0.2015771874362342, -0.01651096654266281, 0.012669711386400235, -0.008059070000182028, -0.15781675785294044, 0.06803240070534546, 0.4721205296075862, -0.2877621803301103, -0.30339831659448857, 0.03955597891826588, -0.2899068172555417, -1.6416180069031924e-05, 0.23167625778233228, 0.03865057596957068, 0.07813551671722013, 0.0017838980192723482, -0.0003348815852128293, -0.04688594996443261, -0.16948297876945656, 0.21125864203128478, 0.07953896943186207, 0.30354055861497053, 0.06915692436387358, 0.10379646682058988, 0.001488784282549244, 0.10521204291296232, -0.02246702536839344, -0.08688588125590721, 0.09213653794975708, 0.3266812112035594, 0.017699087656143565, 0.18049154250690227, -0.3952716582292772, -0.2355494921338623, 0.053140758619005996, 0.11998858793294462, 0.1370707255226317, -0.07698043656494954, -0.32493794247831986, 0.07337868439651135, -0.21457724794542984, -0.12430671720421346, -0.10257751412649194, 0.02641919194518224, 0.005104078860629512, -0.2501538957642523, 0.0500511028803885, 0.012338488275418058, 0.08507056408764227, -0.1120687038536467, -0.07905730851622217, 0.015627055927483445, 0.06948083113251335, -0.03481492601365418, 0.021634163855038503, 0.13591756576510228, -0.09399272650024733, -0.1280323382386047, 0.3818107660272685, -0.07779833750353883, -0.060505003592444824, 0.13758832266625098, -0.13808859586108313, -0.04943294340046123, 0.1593283977177318, 0.08040903478072521, 0.10732333171788765, -0.15379494631159343, 0.023173948626524932, 0.005333888739266474, 0.2543445338353353, 0.05425060204351726, 0.17557672800941634, 0.23351746237755794, 0.22301888851443832, 0.01482534174979462, 0.1416577264026273, -0.13030044475327368, -0.0804555595095735, -0.1847347811056787, -0.18862965941915047, -0.2437881776739074, 0.11781683465043265, -0.060121713032339874, -0.08108864243315664, 0.4354348928951051, 0.0665905361428209, 0.15549452385217274, -0.05681409483330081, 0.2894026033134888, 0.07339353718713898, 0.09015014560123824, 0.030633151661554028, 0.2669584231303104, 0.1787684956013792, 0.10775331029562159, -0.2790310956137862, 0.04965038179500919, -0.08916700148383035] |
710.3232 | Reflection Groups and Differential Forms | We study differential forms invariant under a finite reflection group over a
field of arbitrary characteristic. In particular, we prove an analogue of
Saito's freeness criterion for invariant differential 1-forms. We also discuss
how twisted wedging endows the invariant forms with the structure of a free
exterior algebra in certain cases. Some of the results are extended to the case
of relative invariants with respect to a linear character.
| math.RT math.AC | we study differential forms invariant under a finite reflection group over a field of arbitrary characteristic in particular we prove an analogue of saitos freeness criterion for invariant differential 1forms we also discuss how twisted wedging endows the invariant forms with the structure of a free exterior algebra in certain cases some of the results are extended to the case of relative invariants with respect to a linear character | [['we', 'study', 'differential', 'forms', 'invariant', 'under', 'a', 'finite', 'reflection', 'group', 'over', 'a', 'field', 'of', 'arbitrary', 'characteristic', 'in', 'particular', 'we', 'prove', 'an', 'analogue', 'of', 'saitos', 'freeness', 'criterion', 'for', 'invariant', 'differential', '1forms', 'we', 'also', 'discuss', 'how', 'twisted', 'wedging', 'endows', 'the', 'invariant', 'forms', 'with', 'the', 'structure', 'of', 'a', 'free', 'exterior', 'algebra', 'in', 'certain', 'cases', 'some', 'of', 'the', 'results', 'are', 'extended', 'to', 'the', 'case', 'of', 'relative', 'invariants', 'with', 'respect', 'to', 'a', 'linear', 'character']] | [-0.2274130790669849, 0.0754039812366144, -0.13717204130565128, 0.07227846148315871, -0.10347898523120777, -0.09152735652321059, -0.0620812511584465, 0.33687267414685607, -0.32063085732279695, -0.22602204759554614, 0.09803500827199416, -0.20634374436854885, -0.19350747999640694, 0.20533957321574722, -0.12403428700307141, 0.02018162414458567, 0.010660875176983898, 0.1480998154560887, -0.17503289749467935, -0.23841219503041086, 0.45089215943184885, -0.010006632061972134, 0.2260987437127725, 0.030090187375089558, 0.1400720834919965, 0.044189130280004894, -0.01815572636120993, 0.02288744022136624, -0.18165544687729815, 0.1356631627549296, 0.25422878657886083, 0.0054871804195631676, 0.16933784782684044, -0.34231580270157347, -0.12169772621406161, 0.11063450713898393, 0.07034767213179663, 0.0504290705303783, -0.05081142678492419, -0.2589646101949494, 0.13269551761745327, -0.20002245299680077, -0.20273197455790595, -0.07596349745880866, 0.012175783698878966, 0.016379042079780196, -0.26101581105520355, 0.01658103336618903, 0.10756516036549263, 0.1478971265985266, -0.13723835104104617, -0.0397126964914302, -0.03770645512132973, 0.050055802658038294, 0.007513676783528881, -0.039873966221711125, 0.09810981472981149, -0.1262582923805314, -0.1365367649393021, 0.37251486610351264, -0.13325380674306897, -0.28591079637408257, 0.1341829229740129, -0.181438937175857, -0.16853244018578983, 0.12050335639345365, 0.11857144006838401, 0.1621946096960185, -0.03297535114815337, 0.18027067496238844, -0.138315141632937, 0.08017690949465918, 0.11828584971068345, 0.023114563559816368, 0.12141760114742361, 0.026630160827324657, 0.10884166286711622, 0.2066473949842317, -0.0019088267294717007, -0.10353636157199525, -0.38126746832352615, -0.2537852591156717, -0.03626245306804776, 0.1259685997189819, -0.07246012008492497, -0.18780307739001253, 0.41945524389545125, 0.08038604074576194, 0.20731808431109117, 0.0912530859257432, 0.20036638059072953, 0.14104045644078567, 0.06180295261783876, 0.02104706947516272, 0.09917760465801964, 0.27267311912272935, -0.018197749506857624, -0.18105945617392444, -0.011227054069277601, 0.12129618908427116] |
710.3233 | Summary of the COSY-11 Measurements of Hyperon Production | The studies of hyperon production performed at COSY-11 are summarized. The
results of the experiments in the reaction channels pp-->pK+Lambda,
pp-->pK+Sigma0, and pp-->nK+Sigma+ are shown. Excitation functions
fromthreshold up to about 90MeV excess energies have been evaluated with high
precision for the Lambda and Sigma0 production. The Lambdap and Sigma0p final
state interactions were extracted. The Sigma+ production was measured at 13 and
60 MeV excess energies.
| nucl-ex | the studies of hyperon production performed at cosy11 are summarized the results of the experiments in the reaction channels pppklambda pppksigma0 and ppnksigma are shown excitation functions fromthreshold up to about 90mev excess energies have been evaluated with high precision for the lambda and sigma0 production the lambdap and sigma0p final state interactions were extracted the sigma production was measured at 13 and 60 mev excess energies | [['the', 'studies', 'of', 'hyperon', 'production', 'performed', 'at', 'cosy11', 'are', 'summarized', 'the', 'results', 'of', 'the', 'experiments', 'in', 'the', 'reaction', 'channels', 'pppklambda', 'pppksigma0', 'and', 'ppnksigma', 'are', 'shown', 'excitation', 'functions', 'fromthreshold', 'up', 'to', 'about', '90mev', 'excess', 'energies', 'have', 'been', 'evaluated', 'with', 'high', 'precision', 'for', 'the', 'lambda', 'and', 'sigma0', 'production', 'the', 'lambdap', 'and', 'sigma0p', 'final', 'state', 'interactions', 'were', 'extracted', 'the', 'sigma', 'production', 'was', 'measured', 'at', '13', 'and', '60', 'mev', 'excess', 'energies']] | [-0.03524922136224747, 0.21173212340929443, -0.04269779877254872, 0.10132292315127357, 0.06350417894316793, -0.10543362302557817, 0.02792952883811224, 0.37195930032739566, -0.17865661822909873, -0.34576652151724646, 0.014671594457006052, -0.43142856078015435, 0.09302353875208942, 0.16299460325685758, 0.14521241619709938, 0.11863219080352416, 0.11278914976938968, 0.08667817100557307, -0.01834291215415024, -0.21052981448906755, 0.26915312055424445, 0.14300376063744938, 0.25995813212579205, 0.19149512074710356, 0.08457924167640389, -0.041221832834361566, -0.045218628070812436, -0.06340594809975415, -0.16891862517074932, 0.056201236471275076, 0.2630528553817717, 0.052025068126293636, 0.12473216844308707, -0.32784734296775053, -0.16548384482868844, 0.09000989700120593, 0.10432887229595393, 0.06199012052578231, -0.04925582909749614, -0.2955933701069582, 0.14182926068407675, -0.16699055393063833, -0.10088541743064684, -0.03823942738358349, 0.03738345990016583, 0.02198279836022901, -0.28184835781298934, 0.09525219403532525, -0.07124629807806322, 0.081280824635917, -0.10259328261091714, -0.29978772194405634, -0.07028615834664494, 0.06737521909628182, 0.057786679782328154, 0.08097282615499497, 0.19569926957289377, -0.11740292999006453, -0.15867175288971455, 0.32880231650871417, -0.08426014911974707, -0.12483424525560131, 0.16356432223544706, -0.2210490582510829, -0.1398104280769263, 0.22730153734012257, 0.16667735805672165, 0.07704885791809786, -0.1888200075676044, 0.04244220538789199, 0.06070487711778177, 0.16484672243204262, 0.13491927929562592, 0.03626058161598704, 0.1248242272034524, 0.19435706078666187, -0.11774975123135226, 0.07006450185352671, -0.15490047231553092, -0.04909880502179029, -0.32896992321761825, -0.08252231175050376, -0.06894104258112964, 0.048220646475249575, 0.0028958823393276404, 0.03889157659871252, 0.32692416647951755, 0.035075286691564886, 0.25420249303773285, 0.01556838051386414, 0.21814329520104422, 0.14201328545690528, 0.08264285996038881, 0.05545088319137456, 0.35274624008507954, 0.16287725200388758, 0.13027900414511798, -0.213541991003449, 0.07035765179020856, -0.08662906028182497] |
710.3234 | The Landau gauge gluon propagator: Gribov problem and finite-size
effects | The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our
gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds
higher maxima of the gauge functional compared with those obtained with the
standard overrelaxation and leads to systematic deviations of the gluon
propagator in the infrared region. In particular, finite-size effects for
lattice sizes from (1.7 fm)^4 up to (6.5 fm)^4 become weak. The propagator
shows a plateau at p \approx 300 MeV.
| hep-lat | the su2 gluon propagator in landau gauge is studied on the lattice our gauge fixing procedure employs simulated annealing and z2flips it finds higher maxima of the gauge functional compared with those obtained with the standard overrelaxation and leads to systematic deviations of the gluon propagator in the infrared region in particular finitesize effects for lattice sizes from 17 fm4 up to 65 fm4 become weak the propagator shows a plateau at p approx 300 mev | [['the', 'su2', 'gluon', 'propagator', 'in', 'landau', 'gauge', 'is', 'studied', 'on', 'the', 'lattice', 'our', 'gauge', 'fixing', 'procedure', 'employs', 'simulated', 'annealing', 'and', 'z2flips', 'it', 'finds', 'higher', 'maxima', 'of', 'the', 'gauge', 'functional', 'compared', 'with', 'those', 'obtained', 'with', 'the', 'standard', 'overrelaxation', 'and', 'leads', 'to', 'systematic', 'deviations', 'of', 'the', 'gluon', 'propagator', 'in', 'the', 'infrared', 'region', 'in', 'particular', 'finitesize', 'effects', 'for', 'lattice', 'sizes', 'from', '17', 'fm4', 'up', 'to', '65', 'fm4', 'become', 'weak', 'the', 'propagator', 'shows', 'a', 'plateau', 'at', 'p', 'approx', '300', 'mev']] | [-0.06715759148200352, 0.21769998842229446, -0.1360846364311874, 0.10199399850176026, -0.015210070788937931, -0.09112474888563156, 0.09699298042027901, 0.39056462603310743, -0.13683903602262337, -0.30544594101607797, 0.009679966210387646, -0.31562503742674985, -0.04309412701676289, 0.12200615635452171, 0.04496132621813255, 0.06515129334603746, 0.04146342169182996, 0.012521155228217442, -0.11375062057748436, -0.2744222817569971, 0.2460523660480976, 0.048796595198412736, 0.283812748392423, 0.07064173080027103, 0.08255534620955586, 0.04403333763281504, -0.028710378408432005, -0.036101904331396026, -0.10589941963553429, -0.001004946765800317, 0.17399554122239352, -0.0775248684361577, 0.18783105436557282, -0.33304608769714833, -0.14752498887324084, 0.028765521235764025, 0.13559910119821628, 0.13575365544607243, 0.001669954426276187, -0.28016411257286866, 0.08790542429933945, -0.13569021945198376, -0.15913677137189855, -0.0723547030861179, -0.059022800140082834, -0.10941944303611914, -0.33037046720584234, 0.14287759594619273, -0.09391301148260633, 0.09718154933924476, -0.007784806368872524, -0.22979742527008057, -0.04926164844073355, 0.004057646666963895, 0.09646318565743665, 0.14152806101366877, 0.15042417619910944, -0.13863561858112614, -0.10221652551243703, 0.42779990565031767, -0.07479954109837611, -0.11418132136265437, 0.1639116124684612, -0.187854407231013, -0.13495705970562993, 0.20073159582912922, 0.07910587685803572, 0.08258514494945605, -0.13758985233182708, 0.16400752776457617, 0.01688481382559985, 0.15658327575773, 0.11839164615919193, 0.025718602625032266, 0.14181386410569152, 0.11483279534305135, 0.025860115295896928, 0.15785672908027967, -0.10504025316176314, -0.15331593730797372, -0.3217057443782687, -0.051817726173127694, -0.1168659109963725, 0.10267392683774233, -0.17406156206464704, -0.15239431938777367, 0.35645008832216263, 0.16020831771815816, 0.17178032907967766, 0.06677880832304557, 0.20045740101486445, 0.1386444062817221, 0.14800967235739032, 0.07021895073975126, 0.24736913112302622, 0.16863573352495828, 0.10941128711526593, -0.30598675946705045, -0.14904656985153755, 0.09186158820365865] |
710.3235 | Studies of CP-conserving and CP-violating Bs mixing parameters with the
D0 experiment | This paper summarises the recent results of the Run IIa D0 experiment at the
Tevatron Collider at Fermilab on the observable parameters of the $B_{s}$
meson. A measurement of the branching fraction $B_s->D_s^{(*)}D_s^{(*)}$ is
reported, which provides an estimate of the width difference
$\Delta\Gamma_{s}^{CP}/\Delta\Gamma_{s}$. Through the decay $B_{s} \to J/\psi
\phi$ the width difference $\Delta\Gamma_{s}$ is extracted, and for the first
time a constraint is set on the CP-violating phase $\phi_{s}$, although a
four-fold ambiguity remains. This result is combined with other D0 measurements
to yield $\Delta\Gamma_{s}=0.13\pm0.09 {\rm ps^{-1}}$, $\phi_{s} =
-0.70^{+0.47}_{-0.39}$.
| hep-ex | this paper summarises the recent results of the run iia d0 experiment at the tevatron collider at fermilab on the observable parameters of the b_s meson a measurement of the branching fraction b_sd_sd_s is reported which provides an estimate of the width difference deltagamma_scpdeltagamma_s through the decay b_s to jpsi phi the width difference deltagamma_s is extracted and for the first time a constraint is set on the cpviolating phase phi_s although a fourfold ambiguity remains this result is combined with other d0 measurements to yield deltagamma_s013pm009 rm ps1 phi_s 070047_039 | [['this', 'paper', 'summarises', 'the', 'recent', 'results', 'of', 'the', 'run', 'iia', 'd0', 'experiment', 'at', 'the', 'tevatron', 'collider', 'at', 'fermilab', 'on', 'the', 'observable', 'parameters', 'of', 'the', 'b_s', 'meson', 'a', 'measurement', 'of', 'the', 'branching', 'fraction', 'b_sd_sd_s', 'is', 'reported', 'which', 'provides', 'an', 'estimate', 'of', 'the', 'width', 'difference', 'deltagamma_scpdeltagamma_s', 'through', 'the', 'decay', 'b_s', 'to', 'jpsi', 'phi', 'the', 'width', 'difference', 'deltagamma_s', 'is', 'extracted', 'and', 'for', 'the', 'first', 'time', 'a', 'constraint', 'is', 'set', 'on', 'the', 'cpviolating', 'phase', 'phi_s', 'although', 'a', 'fourfold', 'ambiguity', 'remains', 'this', 'result', 'is', 'combined', 'with', 'other', 'd0', 'measurements', 'to', 'yield', 'deltagamma_s013pm009', 'rm', 'ps1', 'phi_s', '070047_039']] | [-0.1210542119826704, 0.21229069511524545, -0.11239945797528002, 0.03267656277661779, -0.07781265898682606, -0.09461772360239477, 0.07695714002287808, 0.281721836662498, -0.2285628541340602, -0.2510016733652045, 0.019102201066461617, -0.3664183546842515, 0.02932129283475786, 0.17422276514785728, 0.03722473863383819, 0.10941549796937569, 0.13518833169906302, -0.00037576238913782713, -0.12254949029931135, -0.2296897522334395, 0.24075295157388024, -0.010787834616741914, 0.228170250381889, 0.12269440979493418, 0.0263497210348603, -0.05066694841109987, -0.06918735407164385, -0.046927405317881324, -0.20071240781067773, 0.0478001486405666, 0.23255758482063638, 0.14138444877047648, 0.10514014745238183, -0.27633125902335537, -0.013845322032769522, 0.1615594255994877, 0.13136057765490708, 0.08930190271917388, -0.03609297820902162, -0.3598415941353245, 0.10880193494303131, -0.13936675536906581, -0.056878457076033985, 0.005955469880210257, 0.04775483955511416, -0.13665668743437734, -0.3518212729015912, 0.08470168327591543, -0.07277282680673845, 0.06988202831868467, 0.048368995002974036, -0.23095191962182007, 0.0033143293139278546, 0.025157488695206655, 0.12169953084540093, 0.16853815639905376, 0.14115820361178197, -0.08603070424227365, -0.1625635477596487, 0.36230860134565285, -0.08103019516947198, -0.15478316439722462, 0.08062620776245134, -0.22909416943445973, -0.1470832448003107, 0.14849475959594222, 0.21500759975363812, 0.017476246895632524, -0.17895205367099623, 0.11275920545850912, -0.06206176390378982, 0.2533562733743597, 0.042127828258250295, 0.08941098488867283, 0.1700191012658607, 0.24427729261364658, 0.052616171113980786, 0.042749743810292846, -0.1306191706098616, -0.043680909491176236, -0.4552456946808031, -0.13046581006940755, -0.10147042472943149, 0.06844223472664411, -0.030026348136283788, -0.06190033866649215, 0.3876481586585528, 0.060934231386402214, 0.3077113527333599, 0.0573679887563868, 0.3244759601851304, 0.10566486320983559, 0.028276661169064906, -0.016128902984067165, 0.34822525826935796, 0.18376991021093622, 0.19278061457765128, -0.35923215836800376, 0.11640068431700655, 0.0358179004531054] |
710.3236 | Phase transitions in a 3 dimensional lattice loop gas | We investigate, via Monte Carlo simulations, the phase structure of a system
of closed, nonintersecting but otherwise non-interacting, loops in 3 Euclidean
dimensions. The loops correspond to closed trajectories of massive particles
and we find a phase transition as a function of their mass. We identify the
order parameter as the average length of the loops at equilibrium. This order
parameter exhibits a sharp increase as the mass is decreased through a critical
value, the behaviour seems to be a cross-over transition. We believe that the
model represents an effective description of the broken-symmetry sector of the
2+1 dimensional abelian Higgs model, in the extreme strong coupling limit. The
massive gauge bosons and the neutral scalars are decoupled, and the relevant
low-lying excitations correspond to vortices and anti-vortices. The functional
integral can be approximated by a sum over simple, closed vortex loop
configurations. We present a novel fashion to generate non-intersecting closed
loops, starting from a tetrahedral tessellation of three space. The two phases
that we find admit the following interpretation: the usual Higgs phase and a
novel phase which is heralded by the appearance of effectively infinitely long
loops. We compute the expectation value of the Wilson loop operator and that of
the Polyakov loop operator. The Wilson loop exhibits perimeter law behaviour in
both phases implying that the transition corresponds neither to the restoration
of symmetry nor to confinement. The effective interaction between external
charges is screened in both phases, however there is a dramatic increase in the
polarization cloud in the novel phase as shown by the energy shift introduced
by the Wilson loop.
| hep-lat hep-th | we investigate via monte carlo simulations the phase structure of a system of closed nonintersecting but otherwise noninteracting loops in 3 euclidean dimensions the loops correspond to closed trajectories of massive particles and we find a phase transition as a function of their mass we identify the order parameter as the average length of the loops at equilibrium this order parameter exhibits a sharp increase as the mass is decreased through a critical value the behaviour seems to be a crossover transition we believe that the model represents an effective description of the brokensymmetry sector of the 21 dimensional abelian higgs model in the extreme strong coupling limit the massive gauge bosons and the neutral scalars are decoupled and the relevant lowlying excitations correspond to vortices and antivortices the functional integral can be approximated by a sum over simple closed vortex loop configurations we present a novel fashion to generate nonintersecting closed loops starting from a tetrahedral tessellation of three space the two phases that we find admit the following interpretation the usual higgs phase and a novel phase which is heralded by the appearance of effectively infinitely long loops we compute the expectation value of the wilson loop operator and that of the polyakov loop operator the wilson loop exhibits perimeter law behaviour in both phases implying that the transition corresponds neither to the restoration of symmetry nor to confinement the effective interaction between external charges is screened in both phases however there is a dramatic increase in the polarization cloud in the novel phase as shown by the energy shift introduced by the wilson loop | [['we', 'investigate', 'via', 'monte', 'carlo', 'simulations', 'the', 'phase', 'structure', 'of', 'a', 'system', 'of', 'closed', 'nonintersecting', 'but', 'otherwise', 'noninteracting', 'loops', 'in', '3', 'euclidean', 'dimensions', 'the', 'loops', 'correspond', 'to', 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710.3237 | Hyperfine Structure of S-States in Muonic Helium Ion | Corrections of orders alpha^5 and alpha^6 are calculated in the hyperfine
splittings of 1S and 2S - energy levels in the ion of muonic helium. The
electron vacuum polarization effects, the nuclear structure corrections and
recoil corrections are taken into account. The obtained numerical values of the
hyperfine splittings -1334.56 meV (1S state), -166.62 meV (2S state) can be
considered as a reliable estimate for the comparison with the future
experimental data. The hyperfine splitting interval Delta_{12}=(8 Delta
E^{hfs}(2S)- Delta E^{hfs}(1S)) = 1.64 meV can be used for the check of quantum
electrodynamics.
| hep-ph | corrections of orders alpha5 and alpha6 are calculated in the hyperfine splittings of 1s and 2s energy levels in the ion of muonic helium the electron vacuum polarization effects the nuclear structure corrections and recoil corrections are taken into account the obtained numerical values of the hyperfine splittings 133456 mev 1s state 16662 mev 2s state can be considered as a reliable estimate for the comparison with the future experimental data the hyperfine splitting interval delta_128 delta ehfs2s delta ehfs1s 164 mev can be used for the check of quantum electrodynamics | [['corrections', 'of', 'orders', 'alpha5', 'and', 'alpha6', 'are', 'calculated', 'in', 'the', 'hyperfine', 'splittings', 'of', '1s', 'and', '2s', 'energy', 'levels', 'in', 'the', 'ion', 'of', 'muonic', 'helium', 'the', 'electron', 'vacuum', 'polarization', 'effects', 'the', 'nuclear', 'structure', 'corrections', 'and', 'recoil', 'corrections', 'are', 'taken', 'into', 'account', 'the', 'obtained', 'numerical', 'values', 'of', 'the', 'hyperfine', 'splittings', '133456', 'mev', '1s', 'state', '16662', 'mev', '2s', 'state', 'can', 'be', 'considered', 'as', 'a', 'reliable', 'estimate', 'for', 'the', 'comparison', 'with', 'the', 'future', 'experimental', 'data', 'the', 'hyperfine', 'splitting', 'interval', 'delta_128', 'delta', 'ehfs2s', 'delta', 'ehfs1s', '164', 'mev', 'can', 'be', 'used', 'for', 'the', 'check', 'of', 'quantum', 'electrodynamics']] | [-0.07824387308751601, 0.23819538028260998, 0.02495522938971949, 0.16441861291004475, 0.053566510905850094, -0.125626536210739, 0.05147960991327932, 0.38024705193590286, -0.16322667029859542, -0.34650421255744646, -0.03534009486036158, -0.33826867963165735, 0.14634422053850993, 0.15030191154327505, 0.12554917596063989, 0.04513202786738686, 0.10140344191905717, 0.0036968170654375194, -0.1057166820500306, -0.15228489440795423, 0.3086757300107545, 0.06349843386750192, 0.18750934541052164, 0.16302038120582354, 0.02035394791908952, -0.057559380940632725, 0.04978964029984592, -0.031194432708976226, -0.12832730528756403, 0.08337090609508545, 0.2737861122600301, -0.017104871630625323, 0.19674933061401664, -0.3764880551675031, -0.14907940128969766, 0.059693252115488746, 0.11108350349850087, 0.1910039380106122, 0.011061764148951964, -0.34646248309548167, 0.02265809081714102, -0.19847976501901135, -0.12034590664958625, -0.12125551329145945, 0.00741269554249769, -0.0071332107493004135, -0.28889456069500313, 0.08957193993088833, -0.04496537938410806, -0.024391080436924863, -0.12646442718890516, -0.2667064111853062, -0.022986224332694396, 0.13848046970900235, 0.031074070531420063, 0.05526298296442905, 0.13154070285354677, -0.04242800354015429, -0.1403617146993489, 0.45717679665878763, -0.0975620508935779, -0.09908708886698235, -0.0179324819987943, -0.20377534751368817, -0.10679429529510914, 0.1828662642632438, 0.09135887295895712, 0.08342388437077441, -0.0678058201237311, 0.10360820298854717, 0.0833564769898996, 0.23030815491958576, 0.08343650231700997, 0.11043381496863224, 0.1442403918955215, 0.07634155238913588, -0.046711624340089256, 0.03415250356412671, -0.14987288671545684, -0.043050661750765905, -0.32861889041093895, -0.10296458740133879, -0.1323446833940093, 0.13503023755173524, -0.08114037980534662, -0.08183073988834093, 0.38811657543099204, 0.05334717568638193, 0.19209649475415908, -0.0815573924242757, 0.3198406481465628, 0.1763742059932177, 0.05999900336204053, 0.019655982487250204, 0.32319982494985644, 0.24136019987595636, 0.06022204620612049, -0.35842279845924485, 0.018666291918042442, 0.023611508353158485] |
710.3238 | The inverse integrating factor and the Poincar\'e map | This work is concerned with planar real analytic differential systems with an
analytic inverse integrating factor defined in a neighborhood of a regular
orbit. We show that the inverse integrating factor defines an ordinary
differential equation for the transition map along the orbit. When the regular
orbit is a limit cycle, we can determine its associated Poincar\'e return map
in terms of the inverse integrating factor. In particular, we show that the
multiplicity of a limit cycle coincides with the vanishing multiplicity of an
inverse integrating factor over it. We also apply this result to study the
homoclinic loop bifurcation. We only consider homoclinic loops whose critical
point is a hyperbolic saddle and whose Poincar\'e return map is not the
identity. A local analysis of the inverse integrating factor in a neighborhood
of the saddle allows us to determine the cyclicity of this polycycle in terms
of the vanishing multiplicity of an inverse integrating factor over it. Our
result also applies in the particular case in which the saddle of the
homoclinic loop is linearizable, that is, the case in which a bound for the
cyclicity of this graphic cannot be determined through an algebraic method.
| math.DS | this work is concerned with planar real analytic differential systems with an analytic inverse integrating factor defined in a neighborhood of a regular orbit we show that the inverse integrating factor defines an ordinary differential equation for the transition map along the orbit when the regular orbit is a limit cycle we can determine its associated poincare return map in terms of the inverse integrating factor in particular we show that the multiplicity of a limit cycle coincides with the vanishing multiplicity of an inverse integrating factor over it we also apply this result to study the homoclinic loop bifurcation we only consider homoclinic loops whose critical point is a hyperbolic saddle and whose poincare return map is not the identity a local analysis of the inverse integrating factor in a neighborhood of the saddle allows us to determine the cyclicity of this polycycle in terms of the vanishing multiplicity of an inverse integrating factor over it our result also applies in the particular case in which the saddle of the homoclinic loop is linearizable that is the case in which a bound for the cyclicity of this graphic cannot be determined through an algebraic method | [['this', 'work', 'is', 'concerned', 'with', 'planar', 'real', 'analytic', 'differential', 'systems', 'with', 'an', 'analytic', 'inverse', 'integrating', 'factor', 'defined', 'in', 'a', 'neighborhood', 'of', 'a', 'regular', 'orbit', 'we', 'show', 'that', 'the', 'inverse', 'integrating', 'factor', 'defines', 'an', 'ordinary', 'differential', 'equation', 'for', 'the', 'transition', 'map', 'along', 'the', 'orbit', 'when', 'the', 'regular', 'orbit', 'is', 'a', 'limit', 'cycle', 'we', 'can', 'determine', 'its', 'associated', 'poincare', 'return', 'map', 'in', 'terms', 'of', 'the', 'inverse', 'integrating', 'factor', 'in', 'particular', 'we', 'show', 'that', 'the', 'multiplicity', 'of', 'a', 'limit', 'cycle', 'coincides', 'with', 'the', 'vanishing', 'multiplicity', 'of', 'an', 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710.3239 | Phase Diagram of the One Dimensional $S=1/2$ $XXZ$ model with
Ferromagnetic nearest-neighbor and Antiferromagnetic next-nearest neighbor
interactions | We have studied the phase diagram of the one dimensional $S=1/2$ $XXZ$ model
with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor
interactions. We have applied the quantum renormalization group (QRG) approach
to get the stable fixed points and the running of coupling constants. The
second order QRG has been implemented to get the self similar Hamiltonian. This
model shows a rich phase diagram which consists of different phases which
possess the quantum spin-fluid and dimer phases in addition to the classical
N\'{e}el and ferromagnetic ones. The border between different phases has been
shown as a projection onto two different planes in the phase space.
| cond-mat.str-el | we have studied the phase diagram of the one dimensional s12 xxz model with ferromagnetic nearestneighbor and antiferromagnetic nextnearest neighbor interactions we have applied the quantum renormalization group qrg approach to get the stable fixed points and the running of coupling constants the second order qrg has been implemented to get the self similar hamiltonian this model shows a rich phase diagram which consists of different phases which possess the quantum spinfluid and dimer phases in addition to the classical neel and ferromagnetic ones the border between different phases has been shown as a projection onto two different planes in the phase space | [['we', 'have', 'studied', 'the', 'phase', 'diagram', 'of', 'the', 'one', 'dimensional', 's12', 'xxz', 'model', 'with', 'ferromagnetic', 'nearestneighbor', 'and', 'antiferromagnetic', 'nextnearest', 'neighbor', 'interactions', 'we', 'have', 'applied', 'the', 'quantum', 'renormalization', 'group', 'qrg', 'approach', 'to', 'get', 'the', 'stable', 'fixed', 'points', 'and', 'the', 'running', 'of', 'coupling', 'constants', 'the', 'second', 'order', 'qrg', 'has', 'been', 'implemented', 'to', 'get', 'the', 'self', 'similar', 'hamiltonian', 'this', 'model', 'shows', 'a', 'rich', 'phase', 'diagram', 'which', 'consists', 'of', 'different', 'phases', 'which', 'possess', 'the', 'quantum', 'spinfluid', 'and', 'dimer', 'phases', 'in', 'addition', 'to', 'the', 'classical', 'neel', 'and', 'ferromagnetic', 'ones', 'the', 'border', 'between', 'different', 'phases', 'has', 'been', 'shown', 'as', 'a', 'projection', 'onto', 'two', 'different', 'planes', 'in', 'the', 'phase', 'space']] | [-0.18928203036335017, 0.18360342749946038, -0.08254363282314656, 0.022642160186010583, -0.035897852900410886, -0.18206404421695518, 0.047910106770730425, 0.39550871798967563, -0.23809693249177585, -0.2545096363727618, 0.058768383357266994, -0.3042515308406312, -0.11424158159100893, 0.10175318822481678, 0.10207744011004428, 0.01841046801289019, -0.038754797721444405, 0.04256539554922905, -0.1586926993815052, -0.2704597941059529, 0.2855425897750606, -0.06311466586685659, 0.2919279279964931, 0.011005164078861764, 0.07221561071725147, 0.013350005148575433, 0.12196482739691596, 0.011985264625569841, -0.15816244503564553, 0.029877971193201625, 0.23873700314535967, -0.07634415271809523, 0.1587129916127735, -0.41258752845155383, -0.20380589845183406, 0.10796999471099342, 0.15982002375231494, 0.15455497691670017, -0.029497785431002854, -0.33078891824641565, 0.02076996275160498, -0.20150504938046476, -0.10791953853885326, -0.12599309115191398, -0.026958651356941577, -0.029034154815147224, -0.2262494240082728, 0.052977143737116775, 0.06441404547506166, 0.06921155269492815, -0.01323305646825618, -0.11647795402508193, -0.07443360420106684, 0.16672571429313676, 0.025966678571986777, 0.08184774580312151, 0.050770697753550934, -0.06574493131886555, -0.14724179015051828, 0.39013104549455413, -0.03515492168874525, -0.1343798482591666, 0.22644894247766115, -0.13908613817944324, -0.12629078629706958, 0.12427626941714762, 0.08465735346431509, 0.06413459116864262, -0.13388876441766698, 0.14174463226260997, 0.005974187416214387, 0.16278485572236834, 0.0033331242236263542, 0.0052788961470778125, 0.20777476382740204, 0.15451230606950314, 0.05945628904511483, 0.20474105655640654, -0.085480591417878, -0.2187315397217725, -0.1983532541006514, -0.15707702235797943, -0.2124328139414378, -0.036177704391042585, -0.14001103102634163, -0.18939547982147117, 0.43185127193325207, 0.1390323420733358, 0.193521971109061, -0.06432619845286662, 0.2248611076762086, 0.08863015629201947, 0.0709472619838, 0.02887696437356831, 0.27188328361518466, 0.1719547037252234, 0.08195690603167252, -0.2424617838863288, 0.021004164121249346, 0.14744106632232376] |
710.324 | Hawking radiation in a Rotating Kaluza-Klein Black Hole with Squashed
Horizons | We explore the signature of the extra dimension in the Hawking radiation in a
rotating Kaluza-Klein black hole with squashed horizons. Comparing with the
spherical case, we find that the rotating parameter brings richer physics. We
obtain the appropriate size of the extra dimension which can enhance the
Hawking radiation and may open a window to detect the extra dimensions.
| hep-th | we explore the signature of the extra dimension in the hawking radiation in a rotating kaluzaklein black hole with squashed horizons comparing with the spherical case we find that the rotating parameter brings richer physics we obtain the appropriate size of the extra dimension which can enhance the hawking radiation and may open a window to detect the extra dimensions | [['we', 'explore', 'the', 'signature', 'of', 'the', 'extra', 'dimension', 'in', 'the', 'hawking', 'radiation', 'in', 'a', 'rotating', 'kaluzaklein', 'black', 'hole', 'with', 'squashed', 'horizons', 'comparing', 'with', 'the', 'spherical', 'case', 'we', 'find', 'that', 'the', 'rotating', 'parameter', 'brings', 'richer', 'physics', 'we', 'obtain', 'the', 'appropriate', 'size', 'of', 'the', 'extra', 'dimension', 'which', 'can', 'enhance', 'the', 'hawking', 'radiation', 'and', 'may', 'open', 'a', 'window', 'to', 'detect', 'the', 'extra', 'dimensions']] | [-0.137766882913517, 0.17081957935976486, -0.08829381577670574, 0.143558640157183, -0.11162115246988832, -0.18023718246258796, 0.009825942102664461, 0.26336432825773953, -0.1528241947448502, -0.3053146238128344, 0.07878869694735234, -0.3028894177948435, -0.061446562952672444, 0.14929396660688024, -0.06114327964314725, -0.0005110727370871852, -0.028692982687304417, 0.06414548758960639, -0.10698605547271048, -0.23655469737326104, 0.3818808666236388, 0.12943688283363977, 0.22933147363364698, 0.03776837499657025, 0.08334876011746625, -0.015165793860796839, -0.034227327816188334, 0.04497570293800284, -0.1662656175095132, 0.09703570276809236, 0.16808160099511346, 0.1262897261651233, 0.1679108597027759, -0.39083664457624157, -0.2961855340904246, 0.11127057274182638, 0.1901330852881074, 0.19773431378222692, -0.09080107800352076, -0.26286992084545396, 0.04258938773224751, -0.20252241535733143, -0.20992893407431742, -0.030610678461380304, 0.024911514079819123, -0.133968535810709, -0.2383219581718246, 0.05325838156665365, 0.09791951957934847, -0.05448777925533553, -0.09966012785832087, -0.029546375029409926, -0.039025359849135084, 0.09180965533402438, 0.12310534072263787, -0.005197806454574069, 0.17966733807697893, -0.10107018494357665, -0.11760418504321327, 0.32648116354830564, -0.09262852997829517, -0.2342805297434097, 0.22398790176181743, -0.25912465068201224, -0.06582004937032858, 0.12020456572063268, 0.1745107129526635, 0.12645319383591413, -0.07628471058172484, 0.15579369912059823, -0.019419716453800598, 0.20499095731065609, 0.1480119765115281, 0.10037947987245086, 0.320001133531332, 0.1279691718208293, 0.009848449332639574, 0.27464262874176104, -0.1257708789470295, -0.07717796651801716, -0.3273441477989157, -0.19724496412090958, -0.0996364888502285, 0.11570284107389549, -0.186245925049055, -0.15671831844374537, 0.3332295530786117, 0.14239003878901713, 0.1854801575653255, -0.016388714575441554, 0.2621041185183761, 0.07137882385092477, 0.07904777374739448, 0.1186233787642171, 0.30722689150522153, 0.039533092034980656, 0.11168626224001249, -0.26285188291221856, -0.09132120590656996, 0.07322549438104034] |
710.3241 | Compactness in vector-valued Banach function spaces | We give a new proof of a recent characterization by Diaz and Mayoral of
compactness in the Lebesgue-Bochner spaces $L_X^p$, where $X$ is a Banach space
and $1\le p<\infty$, and extend the result to vector-valued Banach function
spaces $E_X$, where $E$ is a Banach function space with order continuous norm.
| math.FA | we give a new proof of a recent characterization by diaz and mayoral of compactness in the lebesguebochner spaces l_xp where x is a banach space and 1le pinfty and extend the result to vectorvalued banach function spaces e_x where e is a banach function space with order continuous norm | [['we', 'give', 'a', 'new', 'proof', 'of', 'a', 'recent', 'characterization', 'by', 'diaz', 'and', 'mayoral', 'of', 'compactness', 'in', 'the', 'lebesguebochner', 'spaces', 'l_xp', 'where', 'x', 'is', 'a', 'banach', 'space', 'and', '1le', 'pinfty', 'and', 'extend', 'the', 'result', 'to', 'vectorvalued', 'banach', 'function', 'spaces', 'e_x', 'where', 'e', 'is', 'a', 'banach', 'function', 'space', 'with', 'order', 'continuous', 'norm']] | [-0.09295827486761371, 0.11410148871340314, -0.07981946429164073, 0.11144677263076361, -0.09681533594444698, -0.057126082365914266, 0.018526374077310368, 0.3803317708780571, -0.31160376897575903, -0.12835339532822979, 0.13704233916656933, -0.24694317841560257, -0.10218293383261379, 0.18482218793004143, -0.18545731016415723, 0.04018966703466615, 0.0018424296333473555, 0.029266891240769505, -0.14622573457582264, -0.2797875837708006, 0.4493642152116007, -0.06300523540727337, 0.12191253317025852, 0.049372361231671304, 0.1366245138211822, 0.09444308864446926, 0.0014001900919389967, -0.06488143692710152, -0.23662844315475348, 0.15554655286274394, 0.321182927192778, 0.09378504935575992, 0.38076477429392386, -0.27233622397999374, -0.17671460999480013, 0.24685270034194906, 0.058287397910821805, -0.13669892339682094, -0.0278031461663088, -0.3514674283868196, 0.03558461922125853, -0.13343650748839184, -0.09519479356287998, -0.16953599089946675, 0.09887107549121185, 0.07184658101664818, -0.42339466763090117, 0.019153812472537463, 0.16825855546155755, 0.044468906727068276, -0.17093239946062772, -0.12886763444854593, -0.04125696340841906, -0.012318257299460927, -0.059382359677811664, 0.23824513716889278, 0.036775477354091646, 0.03537259524574085, -0.11245667406985042, 0.2853547074660963, -0.05990701401843784, -0.22561723294154723, 0.1177405721260881, -0.2478904781235876, -0.14239286245512112, 0.055922675801783193, 0.11782612210633803, 0.19579019199828712, -0.0301166333030073, 0.2689824682453704, -0.10851465582275022, 0.11823136815611197, 0.051005355063445716, 0.11785091448347179, 0.0087994735032244, 0.1641397159071449, 0.1869990583319141, 0.12357717320532063, 0.04328686528249967, 0.004060102876142732, -0.3678475001028606, -0.22216704679291924, -0.2007600534517242, 0.11576889193027604, -0.12098313135252933, -0.1300112957857093, 0.2992089860407369, -0.000935756373314225, 0.24620221384173754, 0.12185696191249454, 0.176471075784339, 0.0741023982742003, -0.048789459271166395, 0.03296017477630961, 0.14387074852960982, 0.20727394845773828, 0.09764271449981904, -0.019594129574085985, -0.03653976092903818, 0.2727886325375614] |
710.3242 | The interplay between boundary conditions and flow geometries in shear
banding: hysteresis, band configurations, and surface transitions | We study shear banding flows in models of wormlike micelles or polymer
solutions, and explore the effects of different boundary conditions for the
viscoelastic stress. These are needed because the equations of motion are
inherently non-local and include ``diffusive'' or square-gradient terms. Using
the diffusive Johnson-Segalman model and a variant of the Rolie-Poly model for
entangled micelles or polymer solutions, we study the interplay between
different boundary conditions and the intrinsic stress gradient imposed by the
flow geometry. We consider prescribed gradient (Neumann) or value (Dirichlet)
of the viscoelastic stress tensor at the boundary, as well as mixed boundary
conditions in which an anchoring strength competes with the gradient
contribution to the stress dynamics. We find that hysteresis during shear rate
sweeps is suppressed if the boundary conditions favor the state that is induced
by the sweep. For example, if the boundaries favor the high shear rate phase
then hysteresis is suppressed at the low shear rate edges of the stress
plateau. If the boundaries favor the low shear rate state, then the high shear
rate band can lie in the center of the flow cell, leading to a three-band
configuration. Sufficiently strong stress gradients due to curved flow
geometries, such as that of cylindrical Couette flow, can convert this to a
two-band state by forcing the high shear rate phase against the wall of higher
stress, and can suppress the hysteresis loop observed during a shear rate
sweep.
| cond-mat.soft cond-mat.other | we study shear banding flows in models of wormlike micelles or polymer solutions and explore the effects of different boundary conditions for the viscoelastic stress these are needed because the equations of motion are inherently nonlocal and include diffusive or squaregradient terms using the diffusive johnsonsegalman model and a variant of the roliepoly model for entangled micelles or polymer solutions we study the interplay between different boundary conditions and the intrinsic stress gradient imposed by the flow geometry we consider prescribed gradient neumann or value dirichlet of the viscoelastic stress tensor at the boundary as well as mixed boundary conditions in which an anchoring strength competes with the gradient contribution to the stress dynamics we find that hysteresis during shear rate sweeps is suppressed if the boundary conditions favor the state that is induced by the sweep for example if the boundaries favor the high shear rate phase then hysteresis is suppressed at the low shear rate edges of the stress plateau if the boundaries favor the low shear rate state then the high shear rate band can lie in the center of the flow cell leading to a threeband configuration sufficiently strong stress gradients due to curved flow geometries such as that of cylindrical couette flow can convert this to a twoband state by forcing the high shear rate phase against the wall of higher stress and can suppress the hysteresis loop observed during a shear rate sweep | [['we', 'study', 'shear', 'banding', 'flows', 'in', 'models', 'of', 'wormlike', 'micelles', 'or', 'polymer', 'solutions', 'and', 'explore', 'the', 'effects', 'of', 'different', 'boundary', 'conditions', 'for', 'the', 'viscoelastic', 'stress', 'these', 'are', 'needed', 'because', 'the', 'equations', 'of', 'motion', 'are', 'inherently', 'nonlocal', 'and', 'include', 'diffusive', 'or', 'squaregradient', 'terms', 'using', 'the', 'diffusive', 'johnsonsegalman', 'model', 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'low', 'shear', 'rate', 'edges', 'of', 'the', 'stress', 'plateau', 'if', 'the', 'boundaries', 'favor', 'the', 'low', 'shear', 'rate', 'state', 'then', 'the', 'high', 'shear', 'rate', 'band', 'can', 'lie', 'in', 'the', 'center', 'of', 'the', 'flow', 'cell', 'leading', 'to', 'a', 'threeband', 'configuration', 'sufficiently', 'strong', 'stress', 'gradients', 'due', 'to', 'curved', 'flow', 'geometries', 'such', 'as', 'that', 'of', 'cylindrical', 'couette', 'flow', 'can', 'convert', 'this', 'to', 'a', 'twoband', 'state', 'by', 'forcing', 'the', 'high', 'shear', 'rate', 'phase', 'against', 'the', 'wall', 'of', 'higher', 'stress', 'and', 'can', 'suppress', 'the', 'hysteresis', 'loop', 'observed', 'during', 'a', 'shear', 'rate', 'sweep']] | [-0.17713421025940812, 0.2094238333732974, -0.06531945629840304, 0.007970005925549934, -0.05903889498162906, -0.12528635338572278, -0.009294294607026745, 0.3447602432382889, -0.3322045077632131, -0.2294940354466189, 0.14333097287405003, 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710.3243 | Macroion adsorption: The crucial role of excluded volume and coions | The adsorption of charged colloids (macroions) onto an oppositely charged
planar substrate is investigated theoretically. Taking properly into account
the finite size of the macroions, unusual behaviors are reported. It is found
that the role of the coions (the little salt-ions carrying the same sign of
charge as that of the substrate) is crucial to understand the mechanisms
involved in the process of macroion adsorption. In particular, the coions can
accumulate near the substrate's surface and lead to a counter-intuitive {\it
surface charge amplification}.
| cond-mat.soft cond-mat.stat-mech | the adsorption of charged colloids macroions onto an oppositely charged planar substrate is investigated theoretically taking properly into account the finite size of the macroions unusual behaviors are reported it is found that the role of the coions the little saltions carrying the same sign of charge as that of the substrate is crucial to understand the mechanisms involved in the process of macroion adsorption in particular the coions can accumulate near the substrates surface and lead to a counterintuitive it surface charge amplification | [['the', 'adsorption', 'of', 'charged', 'colloids', 'macroions', 'onto', 'an', 'oppositely', 'charged', 'planar', 'substrate', 'is', 'investigated', 'theoretically', 'taking', 'properly', 'into', 'account', 'the', 'finite', 'size', 'of', 'the', 'macroions', 'unusual', 'behaviors', 'are', 'reported', 'it', 'is', 'found', 'that', 'the', 'role', 'of', 'the', 'coions', 'the', 'little', 'saltions', 'carrying', 'the', 'same', 'sign', 'of', 'charge', 'as', 'that', 'of', 'the', 'substrate', 'is', 'crucial', 'to', 'understand', 'the', 'mechanisms', 'involved', 'in', 'the', 'process', 'of', 'macroion', 'adsorption', 'in', 'particular', 'the', 'coions', 'can', 'accumulate', 'near', 'the', 'substrates', 'surface', 'and', 'lead', 'to', 'a', 'counterintuitive', 'it', 'surface', 'charge', 'amplification']] | [-0.12085783453265497, 0.22872984335433091, -0.06645917239408176, 0.052645876736585114, 0.01755081160914108, -0.1558458082411573, 0.029400897694818944, 0.39740527932902414, -0.22972944075892487, -0.2778820297400276, -0.02241294191594808, -0.3130324841533081, -0.13677560437066727, 0.1159172724169421, -0.002886241784386606, -0.018763121722423167, -0.009741020585264427, -0.021550592326794762, -0.005451982178871172, -0.20246283586714867, 0.26848896239121184, 0.09105086598702404, 0.32522919394794, 0.18982353919825282, 0.07441074109400611, 0.019310681536479527, 0.06524979096489499, 0.057260790525610186, -0.15218356162599284, 0.060764533697616266, 0.20350072776943626, -0.06744789278291795, 0.19814866208976292, -0.5159263966088913, -0.20848211573145117, 0.09924157983791757, 0.1650952259807971, 0.1531643896666636, -0.14015620441389193, -0.23554129957176564, 0.060448562333652055, -0.09294251901243465, -0.13824274705117007, -0.015855176497744507, 0.04013150033936555, 0.04456735947674297, -0.1909490650784819, 0.05918974833877151, 0.11761607697615063, 0.010099082366080887, -0.08784561868510153, -0.12860065234084445, -0.15103642128587488, 0.17212572298293194, 0.1384673724087735, 0.0024867184145982006, 0.27767401213017123, -0.12084400643740432, -0.046819673379860725, 0.3956935468118593, 0.004433183268789786, -0.23717713646074556, 0.20733751821140928, -0.18153846507656377, -0.03826585175828582, 0.21872789737858236, 0.16534036979169012, 0.12728242451571917, -0.1685076606717993, 0.07795391585158902, -0.022961099396448536, 0.16082175511653612, 0.10702037402282817, 0.0052385781162295, 0.2658932384956314, 0.20655770393099682, 0.04825738731053579, 0.16973161394427339, -0.07895745230412268, -0.11202298930610519, -0.23176079817363118, -0.21379135170929045, -0.17559556563171635, 0.04032071847861341, -0.08765176036770327, -0.20627193409298739, 0.33899661611922716, 0.08772035752681184, 0.19478157246821975, -0.0831275777694915, 0.2298470857968352, 0.07812686139824296, 0.10635956540614007, -0.02360157894688737, 0.26045629809644205, 0.12116149854453573, 0.10304661765021372, -0.30325327268507085, 0.1445333214970418, 0.027609803464196354] |
710.3244 | Cellular resolutions of Cohen-Macaulay monomial quotient rings | We investigate monomial labellings on cell complexes, giving a minimal
cellular resolution of the ideal generated by these monomials, and such that
the associated quotient ring is Cohen-Macaulay. We introduce a notion of such a
labelling being maximal. There is only a finite number of maximal labellings
for each cell complex, and we classify these for trees, partly for subdivisions
of polygons, and for some classes of selfdual polytopes.
| math.AC math.CO | we investigate monomial labellings on cell complexes giving a minimal cellular resolution of the ideal generated by these monomials and such that the associated quotient ring is cohenmacaulay we introduce a notion of such a labelling being maximal there is only a finite number of maximal labellings for each cell complex and we classify these for trees partly for subdivisions of polygons and for some classes of selfdual polytopes | [['we', 'investigate', 'monomial', 'labellings', 'on', 'cell', 'complexes', 'giving', 'a', 'minimal', 'cellular', 'resolution', 'of', 'the', 'ideal', 'generated', 'by', 'these', 'monomials', 'and', 'such', 'that', 'the', 'associated', 'quotient', 'ring', 'is', 'cohenmacaulay', 'we', 'introduce', 'a', 'notion', 'of', 'such', 'a', 'labelling', 'being', 'maximal', 'there', 'is', 'only', 'a', 'finite', 'number', 'of', 'maximal', 'labellings', 'for', 'each', 'cell', 'complex', 'and', 'we', 'classify', 'these', 'for', 'trees', 'partly', 'for', 'subdivisions', 'of', 'polygons', 'and', 'for', 'some', 'classes', 'of', 'selfdual', 'polytopes']] | [-0.1839194696639543, 0.10565820976794846, 0.0239637131276338, 0.07079154212851131, -0.05405527495009744, -0.1280431070000581, 0.02315967108892358, 0.3928754677037722, -0.36502735640691675, -0.1831131164200496, 0.13749462659673198, -0.2588219934993464, -0.15323386203659617, 0.16344915942180957, -0.1670957603154407, -0.031165458747874134, 0.07403331193263116, 0.07279021521200142, -0.029617976218434997, -0.30260752390840673, 0.37444053771163244, -0.019251969197522038, 0.18667883315272088, 0.03430804639946723, 0.1671136612261551, -0.008991606493035088, -0.05056937090104338, 0.1051395445778642, -0.19389193042814545, 0.17414470338195132, 0.2705251168243695, 0.16861914148878143, 0.19176839179345878, -0.38379825705635373, -0.12833470031889022, 0.2512213357326075, 0.13015166319150856, 0.05754119621765246, -0.040530382475032864, -0.15905830304583776, 0.16737128427738082, -0.16550309330383586, -0.1439213741644947, -0.08783145678108153, 0.05407539744308029, 0.047751642871594085, -0.2640141860946365, -0.04459042282289137, 0.09484283362879702, 0.19326157102604274, -0.01185927807987816, -0.09919408143943419, -0.05725737035180024, 0.06885124290820913, -0.09837263137561039, -0.02602616374961276, 0.04944895790295972, -0.14423097476390176, -0.17391571399850259, 0.3836367669096891, 0.06602119303483894, -0.2548356530782969, 0.1981359339872564, -0.1600279502125214, -0.13965970423558485, 0.1291469249037513, 0.0595976202816203, 0.14835223447585452, -0.03437456122828998, 0.10430447053100131, -0.1632083425487297, 0.03647765164445762, 0.17488327623763378, 0.050098207495782685, 0.19860760028730484, 0.15393318484226862, 0.11897981156758708, 0.18633975351796203, -0.028504210467740515, -0.014857020195357609, -0.31860895336106204, -0.190654539293947, -0.15933353202822415, 0.10127096515202867, -0.15409002461461385, -0.23119090134412915, 0.4408941182267407, 0.05089182605076095, 0.19459964600864096, 0.13056322836411605, 0.19364866665631963, 0.0006680832905829817, 0.1051106515434989, 0.035116688908496195, 0.0668685389568766, 0.1747978584928627, -0.06602137850975429, -0.1519527484635836, 0.01636167486751641, 0.21259972690672113] |
710.3245 | The decomposition of the spinor bundle of Grassmann manifolds | The decomposition of the spinor bundle of the spin Grassmann manifolds
$G_{m,n}=SO(m+n)/SO(m)\times SO(n)$ into irreducible representations of
$\mathfrak{so}(m)\oplus\mathfrak{so}(n)$ is presented. A universal construction
is developed and the general statement is proven for $G_{2k+1,3}$, $G_{2k,4}$,
and $G_{2k+1,5}$ for all $k$. The decomposition is used to discuss properties
of the spectrum and the eigenspaces of the Dirac operator.
| math.DG math-ph math.MP | the decomposition of the spinor bundle of the spin grassmann manifolds g_mnsomnsomtimes son into irreducible representations of mathfraksomoplusmathfrakson is presented a universal construction is developed and the general statement is proven for g_2k13 g_2k4 and g_2k15 for all k the decomposition is used to discuss properties of the spectrum and the eigenspaces of the dirac operator | [['the', 'decomposition', 'of', 'the', 'spinor', 'bundle', 'of', 'the', 'spin', 'grassmann', 'manifolds', 'g_mnsomnsomtimes', 'son', 'into', 'irreducible', 'representations', 'of', 'mathfraksomoplusmathfrakson', 'is', 'presented', 'a', 'universal', 'construction', 'is', 'developed', 'and', 'the', 'general', 'statement', 'is', 'proven', 'for', 'g_2k13', 'g_2k4', 'and', 'g_2k15', 'for', 'all', 'k', 'the', 'decomposition', 'is', 'used', 'to', 'discuss', 'properties', 'of', 'the', 'spectrum', 'and', 'the', 'eigenspaces', 'of', 'the', 'dirac', 'operator']] | [-0.17388499754608847, 0.10334615814773475, -0.11223577342781366, 0.0497929352591289, -0.10495549775477425, -0.0903202031885146, -0.06246541159264013, 0.3061608062947498, -0.25202783540475604, -0.1950044089964792, 0.10919841775195856, -0.24227560937915946, -0.1590527735796629, 0.17422781826234332, -0.030782127205063316, 0.03148212028192539, 0.02010998396458579, 0.10705778437356155, -0.12451231364599046, -0.22301567346085885, 0.4015302801249074, 0.011035428163321578, 0.30232507784796114, 0.07847793933515455, 0.16508177463330476, 0.038396290631270875, -0.01671801171466416, -0.06790721114250083, -0.0768048464156249, 0.16826326511435064, 0.2719583165850125, 0.1385595466046795, 0.13514698522768037, -0.34043487621580854, -0.16988779572877286, 0.1310426146887681, 0.14090446066841775, 0.0406406113110921, 0.029137907321473547, -0.28078777512864156, 0.10938043572812103, -0.12686320003487317, -0.16834411671038205, -0.13286524843059333, 0.04472195572566753, -0.08360618663330872, -0.2534123474604213, -0.0077866894539956955, 0.1410867629673186, 0.05220684759757098, -0.10682426096287136, -0.17678347466212205, -0.07653185714255362, 0.10936805904459428, -0.005035097509914753, 0.002825476375280642, 0.08708679640446515, -0.086354109513409, -0.11450691908305767, 0.40895457626046505, -0.05307293562766384, -0.25608670558123026, 0.11845934565416445, -0.10453982245834435, -0.136645331905753, 0.08683622222138095, 0.0958263286544631, 0.14030477022934779, -0.0804373729134015, 0.16618204580314055, -0.07752585922386132, 0.037050586109341796, 0.019019630335855717, 0.014573756857619932, 0.1536494723941181, 0.1054699480460555, 0.09306645125844608, 0.12888512614310957, -0.024314634611501414, -0.05872169527334764, -0.3107127743024452, -0.2646529374366818, -0.200185018497994, 0.08972532683800832, -0.09000942172104831, -0.15758735339577293, 0.4740789896425079, 0.0579953569845826, 0.20390477321822853, 0.05786609001384646, 0.23375356566233962, 0.1503663027622536, 0.05896819092095921, 0.0631079801960903, 0.18618804906659267, 0.28583158267771497, 0.033690281084501277, -0.20142729847016289, -0.0577903803821434, 0.18550334651680553] |
710.3246 | Bloom maps | We consider the problem of succinctly encoding a static map to support
approximate queries. We derive upper and lower bounds on the space requirements
in terms of the error rate and the entropy of the distribution of values over
keys: our bounds differ by a factor log e. For the upper bound we introduce a
novel data structure, the Bloom map, generalising the Bloom filter to this
problem. The lower bound follows from an information theoretic argument.
| cs.DS cs.IT math.IT | we consider the problem of succinctly encoding a static map to support approximate queries we derive upper and lower bounds on the space requirements in terms of the error rate and the entropy of the distribution of values over keys our bounds differ by a factor log e for the upper bound we introduce a novel data structure the bloom map generalising the bloom filter to this problem the lower bound follows from an information theoretic argument | [['we', 'consider', 'the', 'problem', 'of', 'succinctly', 'encoding', 'a', 'static', 'map', 'to', 'support', 'approximate', 'queries', 'we', 'derive', 'upper', 'and', 'lower', 'bounds', 'on', 'the', 'space', 'requirements', 'in', 'terms', 'of', 'the', 'error', 'rate', 'and', 'the', 'entropy', 'of', 'the', 'distribution', 'of', 'values', 'over', 'keys', 'our', 'bounds', 'differ', 'by', 'a', 'factor', 'log', 'e', 'for', 'the', 'upper', 'bound', 'we', 'introduce', 'a', 'novel', 'data', 'structure', 'the', 'bloom', 'map', 'generalising', 'the', 'bloom', 'filter', 'to', 'this', 'problem', 'the', 'lower', 'bound', 'follows', 'from', 'an', 'information', 'theoretic', 'argument']] | [-0.12752249867159438, 0.04183885961481485, -0.10034952409468688, 0.11161732535004955, -0.0677545898436726, -0.10571093979448855, 0.1813646158711477, 0.27346292462248306, -0.29392086592043276, -0.35281957722232715, 0.12444765537874411, -0.2708470893346451, -0.12553130043670535, 0.20857481395087943, -0.09889684817390879, 0.059571163588416666, -0.0027977552676162164, 0.0660027076562794, -0.1021125428257631, -0.26364523151514496, 0.32521529785998454, 0.07969967073869783, 0.28487805427088364, 0.056049711324951866, 0.09608100075728272, 0.007557727075968083, -0.06325251557078067, -0.06029249770701379, -0.24019233909641186, 0.20761178485601656, 0.21728406764276617, 0.21020258493213492, 0.2347577867346102, -0.37354864672358545, -0.16296340191325584, 0.1259987617588856, 0.12294426553749613, 0.09974542216325251, -0.010723872232710483, -0.286823478636223, 0.10104067032467332, -0.14921039837569772, -0.043994681439483416, -0.02634830516460654, 0.0072666698214053724, -0.0009323749207444006, -0.3251296340574075, 0.04738297868616782, 0.11432011133398522, 0.023958394998630096, -0.07667677331558585, -0.11883877861833611, 0.041631191451852394, 0.11005621494773726, -0.021359251614043173, 0.03891007091650473, 0.10679423120235662, -0.12220748143524608, -0.13551811342937992, 0.29053358465142837, -0.13023282427570554, -0.23066236673818005, 0.07931310649622571, -0.07430403769717782, -0.11862010292878206, 0.10640337924448798, 0.2058817855167118, 0.14564508562544723, -0.10301358309686305, 0.13594471154184165, -0.11688328727546099, 0.1753400999859169, 0.069916237230328, 0.1072315806099637, 0.1195481370094341, 0.10817491344188328, 0.15686422675944767, 0.18794445514485433, -0.07534434563214225, -0.0708070949745038, -0.2889943007960335, -0.15613112450643843, -0.20112196348801062, 0.004143027854817254, -0.17517792106894836, -0.1461522976849712, 0.34947648493863354, 0.15274624052372845, 0.26158827176172433, 0.1727287279708045, 0.31253684404027926, 0.1836742497451434, 0.016028715745098406, 0.15157290155297848, 0.17143588173263646, 0.10434109557045067, 0.0366527657069919, -0.14485295363339026, 0.08918595318863919, 0.13922443317080085] |
710.3247 | Generating random networks with given degree-degree correlations and
degree-dependent clustering | Random networks are widely used to model complex networks and research their
properties. In order to get a good approximation of complex networks
encountered in various disciplines of science, the ability to tune various
statistical properties of random networks is very important. In this manuscript
we present an algorithm which is able to construct arbitrarily degree-degree
correlated networks with adjustable degree-dependent clustering. We verify the
algorithm by using empirical networks as input and describe additionally a
simple way to fix a degree-dependent clustering function if degree-degree
correlations are given.
| cond-mat.dis-nn cond-mat.stat-mech | random networks are widely used to model complex networks and research their properties in order to get a good approximation of complex networks encountered in various disciplines of science the ability to tune various statistical properties of random networks is very important in this manuscript we present an algorithm which is able to construct arbitrarily degreedegree correlated networks with adjustable degreedependent clustering we verify the algorithm by using empirical networks as input and describe additionally a simple way to fix a degreedependent clustering function if degreedegree correlations are given | [['random', 'networks', 'are', 'widely', 'used', 'to', 'model', 'complex', 'networks', 'and', 'research', 'their', 'properties', 'in', 'order', 'to', 'get', 'a', 'good', 'approximation', 'of', 'complex', 'networks', 'encountered', 'in', 'various', 'disciplines', 'of', 'science', 'the', 'ability', 'to', 'tune', 'various', 'statistical', 'properties', 'of', 'random', 'networks', 'is', 'very', 'important', 'in', 'this', 'manuscript', 'we', 'present', 'an', 'algorithm', 'which', 'is', 'able', 'to', 'construct', 'arbitrarily', 'degreedegree', 'correlated', 'networks', 'with', 'adjustable', 'degreedependent', 'clustering', 'we', 'verify', 'the', 'algorithm', 'by', 'using', 'empirical', 'networks', 'as', 'input', 'and', 'describe', 'additionally', 'a', 'simple', 'way', 'to', 'fix', 'a', 'degreedependent', 'clustering', 'function', 'if', 'degreedegree', 'correlations', 'are', 'given']] | [-0.0880835785509579, 0.04593619009041034, -0.09769862528178799, 0.12675773818699873, -0.07256485570452353, -0.1754184228661104, 0.004387782232605674, 0.48518816277049903, -0.29213543255091384, -0.33949231624268417, 0.026163676650305227, -0.2429435096335796, -0.28179497810687576, 0.15068989016084272, -0.03396800153671628, 0.11045032563315851, 0.05162033620107333, 0.027843657786842814, -0.013892050738331307, -0.28255173827657537, 0.3007333070521107, 0.07623395161556729, 0.31265623445800517, 0.02951172160591637, 0.07347165551978384, -0.0109313343170235, -0.022616685789962707, 0.06818413282378336, -0.12539351975880145, 0.16179267192531502, 0.297015013610107, 0.1361479502317778, 0.31458794641611953, -0.407669100659282, -0.24467169702722785, 0.17186148565136986, 0.15922840352410847, 0.12726022521154223, 0.009278934867529388, -0.26003088132384117, 0.12135233138321658, -0.17184686839182892, -0.11077721460377064, -0.16931966899402356, 0.002449664015197352, 0.09603109062136558, -0.27463883985085097, 0.015517846231212776, 0.016923517428254813, 0.037017118991509584, 0.034045114367677085, -0.09091013643806906, 0.03174162142010133, 0.18509632798455908, 0.001872415710606853, 0.028468220656884185, 0.0978606347821318, -0.13515801651251574, -0.14777228622331043, 0.38270465918722446, -0.009455636506010726, -0.22351976285238614, 0.20697143312747684, -0.0609859705201528, -0.18241828754858186, 0.05075090829534142, 0.24766163698533614, 0.07130657753310679, -0.19274270340925856, 0.015831016081259742, -0.018253453881636763, 0.16830762857675888, 0.009416778192572882, 0.02520627628886298, 0.1373404403991495, 0.1793129149866238, 0.05628966828258813, 0.15961536479684826, -0.05190587784111332, -0.0976608804730552, -0.20801099925563576, -0.06330822143452557, -0.22750455822031734, 0.02151175563255053, -0.13707144594498846, -0.21017695906875508, 0.4183323780137501, 0.20789831336796954, 0.23832868474922822, 0.08513533915366894, 0.2952339927446139, 0.0637131523291235, 0.04231788884335606, 0.06917770278608698, 0.1607629842532987, 0.1761709916970452, 0.11133797779637442, -0.11133341842299599, 0.14143489584263957, 0.010000316933676433] |
710.3248 | Using COSY-11 apparatus for the precise studies of the natural width of
the eta prime meson | We present preliminary results and motivation of measurement of the total
width of the eta prime meson.
| nucl-ex | we present preliminary results and motivation of measurement of the total width of the eta prime meson | [['we', 'present', 'preliminary', 'results', 'and', 'motivation', 'of', 'measurement', 'of', 'the', 'total', 'width', 'of', 'the', 'eta', 'prime', 'meson']] | [-0.16879234112360897, 0.15876468432628932, -0.09149262210463777, 0.03216389983015902, -0.036624900777550304, -0.06338654085993767, 0.1083007918752949, 0.30613059386172714, -0.18259809779770234, -0.3051979042151395, -0.023919694153044152, -0.2920463593567119, -0.05863606118980576, 0.1834324151277542, 0.0167498707990436, 0.13430693396367133, 0.13858379774233875, 0.07173874336020912, -0.03493498358875513, -0.19496452578288667, 0.4089918611023356, 0.06443451985935955, 0.138613586752292, 0.18193292398663127, 0.009629476596327388, 0.07978018159594606, -0.1729391230379834, -0.027062122874400196, -0.2356721653657801, 0.10953635415610145, 0.17071697115898132, 0.17083699124700882, 0.20162294566740885, -0.297668252578553, -0.013805472018087612, 0.10082871795577161, 0.1296146072118598, 0.039209822877584136, -0.050428788506371135, -0.2660885374335682, 0.14816144952440963, -0.15846906870822697, -0.17927847693071647, -0.04351638126022676, 0.05103888291427318, 0.022441751597558752, -0.27785392346627574, 0.06467904281966827, 0.02667877691633561, 0.11716901636956369, -0.10117557250401553, -0.3124902300974902, 0.06570074400481056, 0.11876027154571869, 0.13005127440042355, 0.046327652738374824, 0.13097538505954778, -0.1537648518295849, -0.13707156216397004, 0.37883452862939415, -0.09326313655166064, -0.13456851474064238, 0.04829456372296109, -0.22339517031522357, -0.17949473353869774, 0.13252338153474472, 0.21780568202409675, 0.08660853413097999, -0.04305427220156964, 0.01638893538962721, -0.1172813001800986, 0.2041943225571338, -0.016467682277674183, 0.08853379483608638, 0.10015676466419417, 0.2272010987953228, -0.04618173585656811, 0.14569306818713598, -0.17284544765510979, 0.007633390124229824, -0.4850841997300877, -0.1914512101725182, -0.10865759783807923, 0.10771056938478175, -0.06421351703893914, -0.027242587769732755, 0.3919629726339789, 0.06697203810600673, 0.23372126414495356, 0.07525422292597153, 0.344687897931127, 0.09443474473322139, 0.02368438709527254, 0.0030237556818653553, 0.27290794384830136, 0.24858200067982955, 0.13856316631769433, -0.28173089136972146, -0.04266869641073486, 0.0009934267796137754] |
710.3249 | A theorem about three quadratic forms | We prove a self-improvement property regarding quadratic forms on arbitrary
vector spaces. We discuss several consequences of this result, in particular
those concerning dimension-free L^p estimates of certain singular integral
operators (Riesz transforms).
| math.FA | we prove a selfimprovement property regarding quadratic forms on arbitrary vector spaces we discuss several consequences of this result in particular those concerning dimensionfree lp estimates of certain singular integral operators riesz transforms | [['we', 'prove', 'a', 'selfimprovement', 'property', 'regarding', 'quadratic', 'forms', 'on', 'arbitrary', 'vector', 'spaces', 'we', 'discuss', 'several', 'consequences', 'of', 'this', 'result', 'in', 'particular', 'those', 'concerning', 'dimensionfree', 'lp', 'estimates', 'of', 'certain', 'singular', 'integral', 'operators', 'riesz', 'transforms']] | [-0.19756531204576744, 0.05747819285501133, -0.10226661370446284, 0.20250726131030894, -0.1397345773946268, -0.0875293969063822, 0.005959365573344809, 0.34176799045367673, -0.3443752145112464, -0.11579242946975159, 0.18807751347776502, -0.2622490478679538, -0.21398322581962653, 0.25486724962000595, -0.13159127293549705, 0.12746197716191862, 0.06048054778666207, 0.07189975328969234, -0.21407985718299946, -0.30213904798482405, 0.43642864884300664, -0.08508751978815506, 0.1759320144739115, 0.0823206023849321, 0.10131917975377291, 0.08128416783769023, -0.06755070363622949, -0.08728233182972128, -0.23258676611338602, 0.20922198016760926, 0.24789365550333803, 0.06763782371258871, 0.34654524493398087, -0.41320400933424634, -0.16336644881150938, 0.2346866215776765, 0.07255839457678975, -0.006631130380838206, -0.06523489545339323, -0.29840022111029335, 0.07387261681442121, -0.10765398305022356, -0.2331625088823564, -0.1580595529045571, -0.023308956459390396, 0.0918567034761619, -0.3124264616124106, 0.021258310301963127, 0.22152839318820924, 0.07027389700383399, -0.24616847943627473, -0.18426401701501824, 0.0759644192276579, -0.02885251013900746, 0.050203225067393345, -0.02788667046380314, 0.049457589644148495, -0.035273042020641944, -0.1145599569567959, 0.24892375057309188, -0.07115575239400972, -0.2663144494096438, 0.11531837381930514, -0.1879056280789276, -0.21367807697617647, -0.01789217329386509, 0.14402328363873743, 0.13098215554473977, -0.07132393449093356, 0.21247569875170788, -0.11878554954786193, 0.011841874513210672, 0.1640305369245735, 0.1737608624848001, 0.019927767528729004, -0.011209610193459825, 0.18711620354742714, 0.210931890672355, 0.07464922726803432, -0.10337820600287875, -0.37813062138968345, -0.20129370201153285, -0.14112462614183174, 0.10145265468974796, -0.2153097145598043, -0.1997578339933446, 0.3342513274965864, 0.09250188288702206, 0.19386408675574895, 0.13673560369308246, 0.17613426449172426, 0.15125998913903127, 0.016016529068689455, 0.01763114065044757, 0.1598742494190281, 0.22264513153244148, 0.07317024623184945, -0.09775796394343629, 0.02094635745566903, 0.26940294894192257] |
710.325 | Algebraic dependence of commuting elements in algebras | The aim of this paper to draw attention to several aspects of the algebraic
dependence in algebras. The article starts with discussions of the algebraic
dependence problem in commutative algebras. Then the Burchnall-Chaundy
construction for proving algebraic dependence and obtaining the corresponding
algebraic curves for commuting differential operators in the Heisenberg algebra
is reviewed. Next some old and new results on algebraic dependence of commuting
q-difference operators and elements in q-deformed Heisenberg algebras are
reviewed. The main ideas and essence of two proofs of this are reviewed and
compared. One is the algorithmic dimension growth existence proof. The other is
the recent proof extending the Burchnall-Chaundy approach from differential
operators and the Heisenberg algebra to the q-deformed Heisenberg algebra,
showing that the Burchnall-Chaundy eliminant construction indeed provides
annihilating curves for commuting elements in the q-deformed Heisenberg
algebras for q not a root of unity.
| math.RA math.QA | the aim of this paper to draw attention to several aspects of the algebraic dependence in algebras the article starts with discussions of the algebraic dependence problem in commutative algebras then the burchnallchaundy construction for proving algebraic dependence and obtaining the corresponding algebraic curves for commuting differential operators in the heisenberg algebra is reviewed next some old and new results on algebraic dependence of commuting qdifference operators and elements in qdeformed heisenberg algebras are reviewed the main ideas and essence of two proofs of this are reviewed and compared one is the algorithmic dimension growth existence proof the other is the recent proof extending the burchnallchaundy approach from differential operators and the heisenberg algebra to the qdeformed heisenberg algebra showing that the burchnallchaundy eliminant construction indeed provides annihilating curves for commuting elements in the qdeformed heisenberg algebras for q not a root of unity | [['the', 'aim', 'of', 'this', 'paper', 'to', 'draw', 'attention', 'to', 'several', 'aspects', 'of', 'the', 'algebraic', 'dependence', 'in', 'algebras', 'the', 'article', 'starts', 'with', 'discussions', 'of', 'the', 'algebraic', 'dependence', 'problem', 'in', 'commutative', 'algebras', 'then', 'the', 'burchnallchaundy', 'construction', 'for', 'proving', 'algebraic', 'dependence', 'and', 'obtaining', 'the', 'corresponding', 'algebraic', 'curves', 'for', 'commuting', 'differential', 'operators', 'in', 'the', 'heisenberg', 'algebra', 'is', 'reviewed', 'next', 'some', 'old', 'and', 'new', 'results', 'on', 'algebraic', 'dependence', 'of', 'commuting', 'qdifference', 'operators', 'and', 'elements', 'in', 'qdeformed', 'heisenberg', 'algebras', 'are', 'reviewed', 'the', 'main', 'ideas', 'and', 'essence', 'of', 'two', 'proofs', 'of', 'this', 'are', 'reviewed', 'and', 'compared', 'one', 'is', 'the', 'algorithmic', 'dimension', 'growth', 'existence', 'proof', 'the', 'other', 'is', 'the', 'recent', 'proof', 'extending', 'the', 'burchnallchaundy', 'approach', 'from', 'differential', 'operators', 'and', 'the', 'heisenberg', 'algebra', 'to', 'the', 'qdeformed', 'heisenberg', 'algebra', 'showing', 'that', 'the', 'burchnallchaundy', 'eliminant', 'construction', 'indeed', 'provides', 'annihilating', 'curves', 'for', 'commuting', 'elements', 'in', 'the', 'qdeformed', 'heisenberg', 'algebras', 'for', 'q', 'not', 'a', 'root', 'of', 'unity']] | [-0.13793528413185008, 0.08911526839155057, -0.09169827627394828, 0.09506477408528251, -0.16373494619458345, -0.13400553252560915, -0.0468925714691674, 0.2703627162296066, -0.32764799273960915, -0.19918096985849035, 0.12805906091509517, -0.3137060782246408, -0.12515918461981024, 0.23563055379781872, -0.12048724276893255, -0.0036418611921868026, 0.046942812251573846, 0.09953526877022038, -0.16167475738459164, -0.285481609203594, 0.42285546299212406, -0.012717816998095563, 0.23122072235370675, 0.0424308301622255, 0.10241716775635723, 0.05347055416981069, -0.058894884274599865, -0.054080941200178735, -0.16528372857227522, 0.1804892808359, 0.31152622343506664, 0.062315517911985, 0.1859317598314697, -0.3756638661466746, -0.08167273102016123, 0.12504957952640122, 0.1824603764883553, 0.07714459556154907, -0.047643489803400975, -0.28143442874231067, 0.026207280104346056, -0.20455175309002194, -0.17180241609781255, -0.05913388560293242, 0.06150841514883925, 0.014805024579901429, -0.20756730275267424, 0.0270090780298536, 0.14592060327090117, 0.15783509771184376, -0.08201597684981404, -0.13608818629856817, -0.02277784607657749, 0.058570473855070304, -0.02031677541284201, -0.01209961403057807, 0.07360203582276073, -0.05354769776264826, -0.20051209528012098, 0.3327680830423358, 0.017555494988401834, -0.20881317822366124, 0.09995310886006337, -0.1848941168896595, -0.20119759234431614, 0.03852922495247589, 0.0641196062723692, 0.061495759252769254, -0.10848348898192246, 0.1961028411080608, -0.07794177926714635, 0.05527318755695079, 0.031956945026953086, 0.03698694226396684, 0.10331062218433039, 0.10347028952027257, 0.029269696012811944, 0.12912939364428488, 0.09211857532985353, -0.15730739124572007, -0.35252645739173105, -0.16693034625859582, -0.10413576055887258, 0.10807957896849985, -0.13029772446174726, -0.13604885322921392, 0.4347436839533556, 0.1480843437020667, 0.16304415606039888, 0.10169218781811651, 0.21664928835040578, 0.11907661976066367, 0.08251378315940706, 0.024888904419236094, 0.1705411087405082, 0.3052205347565986, 0.07863520198346426, -0.17907823295455375, -0.0352794103180511, 0.23143958995933644] |
710.3251 | Glueballs and mesons in the superfluid phase of two-color QCD | QCD with two colors undergoes a transition to a superfluid phase with diquark
condensate when the quark chemical potential equals half the pion mass. We
investigate the gluonic aspects of the transition by inspecting the behavior of
the glueball correlators evaluated via a multi-step smearing procedure for
several values of chemical potential ranging between zero and the saturation
threshold. The results are based on an analysis of 0++ glueball correlators, on
a sample of 40000 independent configurations on each parameter set. The
amplitudes of the correlators peak for \mu = m_\pi/2,indicating that the
superfluid phase transition affects the gluonic sector as well. The mass of the
fundamental state decreases in the superfluid phase, and the amplitude of the
propagators drops, suggesting a reduction of the gluon condensate, in agreement
with model calculations. The analysis of the smearing dependence of the results
helps disentangling the role of long and short distance phenomena at the
superfluid transition.
| hep-lat | qcd with two colors undergoes a transition to a superfluid phase with diquark condensate when the quark chemical potential equals half the pion mass we investigate the gluonic aspects of the transition by inspecting the behavior of the glueball correlators evaluated via a multistep smearing procedure for several values of chemical potential ranging between zero and the saturation threshold the results are based on an analysis of 0 glueball correlators on a sample of 40000 independent configurations on each parameter set the amplitudes of the correlators peak for mu m_pi2indicating that the superfluid phase transition affects the gluonic sector as well the mass of the fundamental state decreases in the superfluid phase and the amplitude of the propagators drops suggesting a reduction of the gluon condensate in agreement with model calculations the analysis of the smearing dependence of the results helps disentangling the role of long and short distance phenomena at the superfluid transition | [['qcd', 'with', 'two', 'colors', 'undergoes', 'a', 'transition', 'to', 'a', 'superfluid', 'phase', 'with', 'diquark', 'condensate', 'when', 'the', 'quark', 'chemical', 'potential', 'equals', 'half', 'the', 'pion', 'mass', 'we', 'investigate', 'the', 'gluonic', 'aspects', 'of', 'the', 'transition', 'by', 'inspecting', 'the', 'behavior', 'of', 'the', 'glueball', 'correlators', 'evaluated', 'via', 'a', 'multistep', 'smearing', 'procedure', 'for', 'several', 'values', 'of', 'chemical', 'potential', 'ranging', 'between', 'zero', 'and', 'the', 'saturation', 'threshold', 'the', 'results', 'are', 'based', 'on', 'an', 'analysis', 'of', '0', 'glueball', 'correlators', 'on', 'a', 'sample', 'of', '40000', 'independent', 'configurations', 'on', 'each', 'parameter', 'set', 'the', 'amplitudes', 'of', 'the', 'correlators', 'peak', 'for', 'mu', 'm_pi2indicating', 'that', 'the', 'superfluid', 'phase', 'transition', 'affects', 'the', 'gluonic', 'sector', 'as', 'well', 'the', 'mass', 'of', 'the', 'fundamental', 'state', 'decreases', 'in', 'the', 'superfluid', 'phase', 'and', 'the', 'amplitude', 'of', 'the', 'propagators', 'drops', 'suggesting', 'a', 'reduction', 'of', 'the', 'gluon', 'condensate', 'in', 'agreement', 'with', 'model', 'calculations', 'the', 'analysis', 'of', 'the', 'smearing', 'dependence', 'of', 'the', 'results', 'helps', 'disentangling', 'the', 'role', 'of', 'long', 'and', 'short', 'distance', 'phenomena', 'at', 'the', 'superfluid', 'transition']] | [-0.12513287397089348, 0.25583615122118347, -0.12623373504417637, 0.05984352085909812, 0.00403235135052134, -0.06453269197806424, 0.10285975760323744, 0.3142230720259249, -0.17059647703080688, -0.25701951667715134, 0.02900504655801247, -0.3220106401279861, -0.0740750312099075, 0.1111374991349389, 0.09517391447550039, 0.06504847155817331, 0.015174291321088627, 0.055533807715583666, -0.13601214028864467, -0.18854820284554186, 0.38822416269092586, -0.007465738194440704, 0.2832577953638594, 0.1419770862006284, 0.05126915603961333, -0.00535856857173962, -0.009646891914551554, -0.041373926936192254, -0.14820457637802512, -0.011780329407771038, 0.17164248966245174, 0.018065340739697313, 0.1899729612636459, -0.34610427284796436, -0.20283424096970265, 0.1083205063200367, 0.1584663751407289, 0.12801131165397714, -0.008576610016794814, -0.2703158853307756, 0.033449025435093184, -0.16433378849848132, -0.1766274913900465, -0.08249505746233113, 0.01624605860987228, -0.005888181076585955, -0.2818390718277763, 0.11642488683163024, -0.019943202860209043, 0.04884127941505879, -0.05381250149856498, -0.18538497333579204, -0.06439218179815832, 0.13157229189661307, 0.08257468641823876, 0.09775168813302432, 0.1669960480359888, -0.23035526723034827, -0.07816925954402369, 0.3817473016968423, -0.10185449763834233, -0.10420894023225782, 0.14134016130697835, -0.168400723709317, -0.08589771501659081, 0.16165085376112484, 0.12545593030555965, 0.09429243024974282, -0.10226206124953856, 0.04831659714607644, 0.0035985888353262854, 0.19085105094340404, 0.06263200291797665, 0.07205486663397868, 0.2656086391945875, 0.19907378490399447, -0.031330437862064714, 0.15115893796524582, -0.10651159380392165, -0.13810424656577536, -0.3393107098253334, -0.09221271236177558, -0.1765242454206291, -0.0009234111361948201, -0.15229252335477356, -0.17622893052540867, 0.4258666119166936, 0.1255834256451017, 0.2452063966052473, 0.031278963027266314, 0.2902113251704601, 0.1284929432411065, 0.06015368601842935, 0.02814143909190118, 0.2518767888042954, 0.20124145104318517, 0.13770185210407268, -0.3261467839919907, -0.00023300587230063732, 0.08488455807997121] |
710.3252 | Iron abundances from optical Fe III absorption lines in B-type stellar
spectra | The role of optical Fe III absorption lines in B-type stars as iron abundance
diagnostics is considered. To date, ultraviolet Fe lines have been widely used
in B-type stars, although line blending can severely hinder their diagnostic
power. Using optical spectra, covering a wavelength range ~ 3560 - 9200 A, a
sample of Galactic B-type main-sequence and supergiant stars of spectral types
B0.5 to B7 are investigated. A comparison of the observed Fe III spectra of
supergiants, and those predicted from the model atmosphere codes TLUSTY
(plane-parallel, non-LTE), with spectra generated using SYNSPEC (LTE), and
CMFGEN (spherical, non-LTE), reveal that non-LTE effects appear small. In
addition, a sample of main-sequence and supergiant objects, observed with
FEROS, reveal LTE abundance estimates consistent with the Galactic environment
and previous optical studies. Based on the present study, we list a number of
Fe III transitions which we recommend for estimating the iron abundance from
early B-type stellar spectra.
| astro-ph | the role of optical fe iii absorption lines in btype stars as iron abundance diagnostics is considered to date ultraviolet fe lines have been widely used in btype stars although line blending can severely hinder their diagnostic power using optical spectra covering a wavelength range 3560 9200 a a sample of galactic btype mainsequence and supergiant stars of spectral types b05 to b7 are investigated a comparison of the observed fe iii spectra of supergiants and those predicted from the model atmosphere codes tlusty planeparallel nonlte with spectra generated using synspec lte and cmfgen spherical nonlte reveal that nonlte effects appear small in addition a sample of mainsequence and supergiant objects observed with feros reveal lte abundance estimates consistent with the galactic environment and previous optical studies based on the present study we list a number of fe iii transitions which we recommend for estimating the iron abundance from early btype stellar spectra | [['the', 'role', 'of', 'optical', 'fe', 'iii', 'absorption', 'lines', 'in', 'btype', 'stars', 'as', 'iron', 'abundance', 'diagnostics', 'is', 'considered', 'to', 'date', 'ultraviolet', 'fe', 'lines', 'have', 'been', 'widely', 'used', 'in', 'btype', 'stars', 'although', 'line', 'blending', 'can', 'severely', 'hinder', 'their', 'diagnostic', 'power', 'using', 'optical', 'spectra', 'covering', 'a', 'wavelength', 'range', '3560', '9200', 'a', 'a', 'sample', 'of', 'galactic', 'btype', 'mainsequence', 'and', 'supergiant', 'stars', 'of', 'spectral', 'types', 'b05', 'to', 'b7', 'are', 'investigated', 'a', 'comparison', 'of', 'the', 'observed', 'fe', 'iii', 'spectra', 'of', 'supergiants', 'and', 'those', 'predicted', 'from', 'the', 'model', 'atmosphere', 'codes', 'tlusty', 'planeparallel', 'nonlte', 'with', 'spectra', 'generated', 'using', 'synspec', 'lte', 'and', 'cmfgen', 'spherical', 'nonlte', 'reveal', 'that', 'nonlte', 'effects', 'appear', 'small', 'in', 'addition', 'a', 'sample', 'of', 'mainsequence', 'and', 'supergiant', 'objects', 'observed', 'with', 'feros', 'reveal', 'lte', 'abundance', 'estimates', 'consistent', 'with', 'the', 'galactic', 'environment', 'and', 'previous', 'optical', 'studies', 'based', 'on', 'the', 'present', 'study', 'we', 'list', 'a', 'number', 'of', 'fe', 'iii', 'transitions', 'which', 'we', 'recommend', 'for', 'estimating', 'the', 'iron', 'abundance', 'from', 'early', 'btype', 'stellar', 'spectra']] | [0.017073639863310685, 0.05971310217103927, 0.01888793359321901, 0.08523132471562503, -0.06756518453320037, -0.12647253643794387, 0.09600984256903282, 0.492361689339471, -0.09694993047932395, -0.3713788255026527, 0.021079161396901445, -0.3112999321771116, 0.026334898564599307, 0.1694082066103256, -0.03170544644125305, -0.03552105033380631, 0.11152077584338733, -0.12356069900880695, -0.030643510323297842, -0.18838262980911513, 0.29629935351583886, 0.06444206796708254, 0.15174855812744914, -0.09397182070948427, -0.08802314883621495, -0.1734218579253602, -0.11154351194139595, 0.01558754813486065, -0.14469822976774166, 0.04353106107119185, 0.26501804820621033, 0.13202528538809347, 0.13368439879207536, -0.35198542946583233, -0.2807927161875163, 0.056727775955402286, 0.2231722102345278, 0.0745610151328816, -0.08534864987341041, -0.22503696879816357, 0.061771176120089796, -0.14917362102739562, -0.15848771519989407, 0.04105235704409531, 0.014621186477978245, 0.07009217439347185, -0.26432548455431376, 0.037906615670353444, 0.00010924232101031378, 0.24955350134424328, -0.13851097333579768, -0.20224175553501042, -0.14153577724252553, 0.0676397960024332, -0.014462274239775938, -0.03732471703095179, 0.13768329913842073, -0.05875435421012001, 0.01203419230391387, 0.4462547023458029, -0.15717076077399886, 0.07639502619508824, 0.21026104836712525, -0.14196812964555824, -0.16688616646551133, 0.17664434733721457, 0.1304796141103592, 0.20096737895848754, -0.1773512516310743, 0.016109954982347713, 0.004385638753792234, 0.2302314296115214, 0.0244985626876549, 0.0896199599720288, 0.32050402256739297, 0.07034727941294584, -0.08808239149934083, 0.06959759688584645, -0.29159246200506933, -0.030708377760853254, -0.1669252071608759, -0.10967360346218924, -0.0742270147300088, 0.08217056737025726, -0.13343281114085506, -0.21718037560326503, 0.357419649887757, 0.11724867575856693, 0.18578081330728832, -0.01902422943423362, 0.30018403270628813, 0.0881856221673718, 0.0818893586116496, 0.10950595343613304, 0.3152589162665547, 0.26058670448358445, 0.16344726372744547, -0.29861631142005957, 0.07874547839552785, 0.061406210592941816] |
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