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707.393 | Superfluid-Insulator and Roughening Transitions in Domain Walls | We have performed quantum Monte Carlo simulations to investigate the
superfluid behavior of one- and two-dimensional interfaces separating
checkerboard solid domains. The system is described by the hard-core
Bose-Hubbard Hamiltonian with nearest-neighbor interaction. In accordance with
Ref.1, we find that (i) the interface remains superfluid in a wide range of
interaction strength before it undergoes a superfluid-insulator transition;
(ii) in one dimension, the transition is of the Kosterlitz-Thouless type and is
accompanied by the roughening transition, driven by proliferation of charge 1/2
quasiparticles; (iii) in two dimensions, the transition belongs to the 3D U(1)
universality class and the interface remains smooth. Similar phenomena are
expected for domain walls in quantum antiferromagnets.
| cond-mat.other cond-mat.stat-mech | we have performed quantum monte carlo simulations to investigate the superfluid behavior of one and twodimensional interfaces separating checkerboard solid domains the system is described by the hardcore bosehubbard hamiltonian with nearestneighbor interaction in accordance with ref1 we find that i the interface remains superfluid in a wide range of interaction strength before it undergoes a superfluidinsulator transition ii in one dimension the transition is of the kosterlitzthouless type and is accompanied by the roughening transition driven by proliferation of charge 12 quasiparticles iii in two dimensions the transition belongs to the 3d u1 universality class and the interface remains smooth similar phenomena are expected for domain walls in quantum antiferromagnets | [['we', 'have', 'performed', 'quantum', 'monte', 'carlo', 'simulations', 'to', 'investigate', 'the', 'superfluid', 'behavior', 'of', 'one', 'and', 'twodimensional', 'interfaces', 'separating', 'checkerboard', 'solid', 'domains', 'the', 'system', 'is', 'described', 'by', 'the', 'hardcore', 'bosehubbard', 'hamiltonian', 'with', 'nearestneighbor', 'interaction', 'in', 'accordance', 'with', 'ref1', 'we', 'find', 'that', 'i', 'the', 'interface', 'remains', 'superfluid', 'in', 'a', 'wide', 'range', 'of', 'interaction', 'strength', 'before', 'it', 'undergoes', 'a', 'superfluidinsulator', 'transition', 'ii', 'in', 'one', 'dimension', 'the', 'transition', 'is', 'of', 'the', 'kosterlitzthouless', 'type', 'and', 'is', 'accompanied', 'by', 'the', 'roughening', 'transition', 'driven', 'by', 'proliferation', 'of', 'charge', '12', 'quasiparticles', 'iii', 'in', 'two', 'dimensions', 'the', 'transition', 'belongs', 'to', 'the', '3d', 'u1', 'universality', 'class', 'and', 'the', 'interface', 'remains', 'smooth', 'similar', 'phenomena', 'are', 'expected', 'for', 'domain', 'walls', 'in', 'quantum', 'antiferromagnets']] | [-0.16405026327717948, 0.256899637656773, -0.009279021142713458, 0.03276075975579285, -0.009509678300772165, -0.20206957208076576, 0.03340244324676491, 0.3678854368794877, -0.23302027682966744, -0.24340004282625946, 0.04260940354439086, -0.3262836332474877, -0.12846107638717905, 0.10497840849665908, 0.06506495196833736, 0.03422966667425793, -0.026904636603855604, -0.03472637802337271, -0.11816172036426226, -0.17716296669095755, 0.3380871834799748, -0.06754657332701525, 0.29737278723434823, 0.0690874638967216, 0.019835477295281314, -0.021795781053771026, 0.1115606451608442, 0.033961968152439806, -0.20128460544160712, -0.004548730200727109, 0.23679928275282486, -0.0420638568644823, 0.18696774510868094, -0.42499378580297975, -0.25458897221497856, 0.06553939303282548, 0.1736458931663619, 0.15537813617134685, -0.0744206772515181, -0.3186612780130393, 0.008358256085901647, -0.19156195454064523, -0.14988127296689796, -0.04699379287718854, 0.0167945442587003, -0.001736017701274774, -0.2309392463868937, 0.12377598874589747, 0.06513648290766051, 0.10163617663521755, -0.046979908678294706, -0.02783470752183348, -0.04090168493220935, 0.09525386783554479, 0.01214413837475182, 0.08506323667694102, 0.11782237989744088, -0.17376713935487173, -0.1300693484325264, 0.3952747974670618, -0.02928619098488812, -0.13541679803349144, 0.2639978452006707, -0.1805362826683097, -0.07362945480188271, 0.20025195108374227, 0.0931753522301143, 0.0521232852238222, -0.11997469827566329, 0.12975060390912863, 0.022246129726907156, 0.1592753280692541, -0.049833245715965424, -0.02536196869521125, 0.23864259959307607, 0.21930099124149713, 0.0014835779181773866, 0.2045069316502761, -0.10791363105647736, -0.20980278581699674, -0.2786434625300604, -0.17727285825756486, -0.2704922244926025, 0.0175429905118706, -0.06914478502624882, -0.20952487664364344, 0.3799047738498261, 0.1680210999271891, 0.17542721752312268, -0.017708681624483417, 0.17083178211406275, 0.12266253391364673, 0.03243583107476232, 0.04221344577266021, 0.2521964078202743, 0.11937961758634595, 0.13403260724635813, -0.2505360109677018, 0.044548256171716226, 0.13114473020850873] |
707.3931 | Influence of Rb, Cs and Ba on Superconductivity of Magnesium Diboride | Magnesium diboride has been thermally treated in the presence of Rb, Cs, and
Ba. Magnetic susceptibility shows onsets of superconductivity in the resulting
samples at 52K (Rb), 58K (Cs) and 45K (Ba). Room-temperature 11B NMR indicates
to cubic symmetry of the electric field gradient at boron site for the samples
reacted with Rb and Cs, in contrast to the axial symmetry in the initial MgB2
and in the sample treated with Ba.
| cond-mat.supr-con | magnesium diboride has been thermally treated in the presence of rb cs and ba magnetic susceptibility shows onsets of superconductivity in the resulting samples at 52k rb 58k cs and 45k ba roomtemperature 11b nmr indicates to cubic symmetry of the electric field gradient at boron site for the samples reacted with rb and cs in contrast to the axial symmetry in the initial mgb2 and in the sample treated with ba | [['magnesium', 'diboride', 'has', 'been', 'thermally', 'treated', 'in', 'the', 'presence', 'of', 'rb', 'cs', 'and', 'ba', 'magnetic', 'susceptibility', 'shows', 'onsets', 'of', 'superconductivity', 'in', 'the', 'resulting', 'samples', 'at', '52k', 'rb', '58k', 'cs', 'and', '45k', 'ba', 'roomtemperature', '11b', 'nmr', 'indicates', 'to', 'cubic', 'symmetry', 'of', 'the', 'electric', 'field', 'gradient', 'at', 'boron', 'site', 'for', 'the', 'samples', 'reacted', 'with', 'rb', 'and', 'cs', 'in', 'contrast', 'to', 'the', 'axial', 'symmetry', 'in', 'the', 'initial', 'mgb2', 'and', 'in', 'the', 'sample', 'treated', 'with', 'ba']] | [-0.06310867808578122, 0.1945570562319416, 0.07043273468864047, -0.0939763103120236, 0.07783982843264109, -0.1684367269756169, 0.12955086476479968, 0.4301385620815886, -0.2010996566580919, -0.2916410591505054, -0.028500274698469892, -0.35892186867487097, -0.005453252932056785, 0.06291582855758154, 0.011530009020740787, -0.01620682770670909, -0.09113052011364037, 0.044926767263354525, -0.09994244236925927, -0.22102912329137325, 0.18864657257735315, 0.043168953529352114, 0.3664893720609446, 0.008393836531063749, -0.027156575893362362, -0.09211449695673461, 0.1337524828268215, 0.045097163218694426, -0.05924969903814296, 0.026801903654510777, 0.2649844994238164, -0.019745246290565573, 0.14108014831112492, -0.4617711813313387, -0.22227579913063286, 0.0213107504726698, 0.16430698635263574, 0.1874792478548544, -0.1508096844708133, -0.26667875258458984, 0.08285947273381883, -0.055159865451666214, -0.11118626116593885, -0.0799261742512398, -0.010450163071962178, -0.015440256774632467, -0.3280652503793438, 0.12321707378658983, 0.033723253355775445, 0.21006230984090102, -0.16206043161865738, -0.2629812451131228, -0.05115895337884366, -0.05563124148951223, 0.05129317046763996, 0.062097213205157056, 0.18648495650914912, -0.07066547601587242, 0.0013850917004876668, 0.373242194001149, -0.13432406492130314, 0.002919229678809643, 0.1427679653150133, -0.21644362754240218, -0.13625022765740546, 0.19426464462756282, 0.07924496589435472, 0.12937935787097862, -0.11860279459506273, 0.07805030764817882, 0.014688857488282438, 0.180619332810036, 0.0938612657935462, 0.022044750690434337, 0.1688591402570536, 0.16632547304875012, -0.050031447136360735, 0.1373380650119442, -0.17850145428544945, -0.012047626492049959, -0.12994477020887038, -0.21733672211929742, -0.15653749620347904, 0.01987887102748371, -0.06032217197530877, -0.16862194903660566, 0.3062652746060242, 0.10247969024284329, 0.1853639587966932, -0.16236281865793797, 0.21738876692122883, 0.036889932469219074, 0.09294305622784628, 0.02874798209975577, 0.28608809543463093, 0.2622168923003806, 0.16618397750426084, -0.35421850400355953, 0.08888908236986026, -0.009937300075155994] |
707.3932 | Photon strength distributions in stable even-even molybdenum isotopes | Electromagnetic dipole-strength distributions up to the particle separation
energies are studied for the stable even-even nuclides $^{92,94,96,98,100}$Mo
in photon scattering experiments at the superconducting electron accelerator
ELBE of the Forschungszentrum Dresden-Rossendorf. The influence of inelastic
transitions to low-lying excited states has been corrected by a simulation of
$\gamma$ cascades using a statistical model. After corrections for branching
ratios of ground-state transitions, the photon-scattering cross-sections
smoothly connect to data obtained from $(\gamma,n)$-reactions. With the newly
determined electromagnetic dipole response of nuclei well below the particle
separation energies the parametrisation of the isovector giant-dipole resonance
is done with improved precision.
| nucl-ex | electromagnetic dipolestrength distributions up to the particle separation energies are studied for the stable eveneven nuclides 92949698100mo in photon scattering experiments at the superconducting electron accelerator elbe of the forschungszentrum dresdenrossendorf the influence of inelastic transitions to lowlying excited states has been corrected by a simulation of gamma cascades using a statistical model after corrections for branching ratios of groundstate transitions the photonscattering crosssections smoothly connect to data obtained from gammanreactions with the newly determined electromagnetic dipole response of nuclei well below the particle separation energies the parametrisation of the isovector giantdipole resonance is done with improved precision | [['electromagnetic', 'dipolestrength', 'distributions', 'up', 'to', 'the', 'particle', 'separation', 'energies', 'are', 'studied', 'for', 'the', 'stable', 'eveneven', 'nuclides', '92949698100mo', 'in', 'photon', 'scattering', 'experiments', 'at', 'the', 'superconducting', 'electron', 'accelerator', 'elbe', 'of', 'the', 'forschungszentrum', 'dresdenrossendorf', 'the', 'influence', 'of', 'inelastic', 'transitions', 'to', 'lowlying', 'excited', 'states', 'has', 'been', 'corrected', 'by', 'a', 'simulation', 'of', 'gamma', 'cascades', 'using', 'a', 'statistical', 'model', 'after', 'corrections', 'for', 'branching', 'ratios', 'of', 'groundstate', 'transitions', 'the', 'photonscattering', 'crosssections', 'smoothly', 'connect', 'to', 'data', 'obtained', 'from', 'gammanreactions', 'with', 'the', 'newly', 'determined', 'electromagnetic', 'dipole', 'response', 'of', 'nuclei', 'well', 'below', 'the', 'particle', 'separation', 'energies', 'the', 'parametrisation', 'of', 'the', 'isovector', 'giantdipole', 'resonance', 'is', 'done', 'with', 'improved', 'precision']] | [-0.047473941712125545, 0.24836108008595673, -0.07276765167419064, 0.11939130490033054, 0.049955582236380955, -0.1065297532924696, 0.05560078660614396, 0.36337639226725227, -0.1669926790226447, -0.333973819233085, -0.05987100833169136, -0.3553375475500759, 0.04925999661515418, 0.1717270233521336, 0.1460417065965502, 0.12873447227634882, 0.0612216681634125, 0.029063994040418612, -0.08570387408529458, -0.1120894680057015, 0.2916900991511188, 0.15682302617811059, 0.25830607111320686, 0.11028962724499013, 0.06336048393583807, 0.014863175859576777, 0.02556963689919365, -0.06610206028348521, -0.14384970085107182, 0.06291279238587441, 0.25297386038705316, 0.011441547112343343, 0.1226289433427155, -0.3919226307225855, -0.16517190082292807, 0.08260289862457859, 0.1535181865635279, 0.11133555260143782, -0.029125612366356347, -0.34169641543964024, 0.0027664071870898816, -0.17595086007526045, -0.15914827862166261, -0.08591766817691295, 0.014237056307396606, 0.07173468419595769, -0.26590481978032343, 0.0599731496755818, -0.042113461927510795, 0.051029039316773904, -0.06427122071679485, -0.20939575568037597, -0.023893071610578583, 0.04744946514501384, 0.07003543550075081, 0.013762656241459281, 0.22730683084381254, -0.10910835080338936, -0.1274727251135597, 0.36191332957854394, -0.03500107263067835, -0.09397238794512017, 0.10579618321437585, -0.18604819268037223, -0.13077093955423486, 0.27130902962465037, 0.17514109336035816, 0.09205290796725374, -0.15649733268900923, 0.08692707692910182, 0.03882457873734989, 0.14627268457491147, 0.09843358308364833, 0.02141977124724929, 0.19095107557582913, 0.19690706168889607, -0.05329160086847352, 0.09408549539940922, -0.15235439145104274, -0.061086672495462395, -0.3003084930542268, -0.06825834703386614, -0.165745021741053, 0.047500427157961225, 0.023488979755079766, -0.10644214269460033, 0.3925986481830478, 0.03202982811673887, 0.1797022481032304, -0.014554253580832953, 0.2696358309764611, 0.12206687041019139, 0.07146825206858155, 0.0266179632150421, 0.3713764825835824, 0.22390421335095245, 0.09437260503366002, -0.30303699664134337, 0.010932042981546961, 0.014222412428965695] |
707.3933 | Branching ratio measurement of $K_S\to \gamma \gamma$ decay using a pure
$\ks$ beam in the KLOE detector | We have analyzed 1.62 fb$^{-1}$ of $e^{+}e^{-}$ collisions at a center of
mass energy $\sim M_{\phi}$ collected by the KLOE experiment at DA$\Phi$NE.
This sample corresponds to a production of $\sim$ 1.7 billion of $\ks$ $\kl$
pairs which allowed us to search for the rare $K_S\to \gamma\gamma$ decay.
$K_S$ are tagged by the $K_L$ interaction in the calorimeter and the signal is
searched for by requiring two additional prompt photons. Strong kinematic
requirements reduce the initial 0.5$\times 10^6$ events to 2300 candidates from
which we extract a signal of 600 $\pm$ 35 events. By normalizing to the $\ks
\to 2 \pi^0$ decays counted in the same sample, the measured value of BR($\ks
\to \gamma\gamma$) is (2.27 $\pm 0.13(stat.) ^{+0.03}_{-0.04} (syst.)) \times
10^{-6}$, in agreement with $O(P^4)$ Chiral Perturbation Theory predictions.
| hep-ex | we have analyzed 162 fb1 of ee collisions at a center of mass energy sim m_phi collected by the kloe experiment at daphine this sample corresponds to a production of sim 17 billion of ks kl pairs which allowed us to search for the rare k_sto gammagamma decay k_s are tagged by the k_l interaction in the calorimeter and the signal is searched for by requiring two additional prompt photons strong kinematic requirements reduce the initial 05times 106 events to 2300 candidates from which we extract a signal of 600 pm 35 events by normalizing to the ks to 2 pi0 decays counted in the same sample the measured value of brks to gammagamma is 227 pm 013stat 003_004 syst times 106 in agreement with op4 chiral perturbation theory predictions | [['we', 'have', 'analyzed', '162', 'fb1', 'of', 'ee', 'collisions', 'at', 'a', 'center', 'of', 'mass', 'energy', 'sim', 'm_phi', 'collected', 'by', 'the', 'kloe', 'experiment', 'at', 'daphine', 'this', 'sample', 'corresponds', 'to', 'a', 'production', 'of', 'sim', '17', 'billion', 'of', 'ks', 'kl', 'pairs', 'which', 'allowed', 'us', 'to', 'search', 'for', 'the', 'rare', 'k_sto', 'gammagamma', 'decay', 'k_s', 'are', 'tagged', 'by', 'the', 'k_l', 'interaction', 'in', 'the', 'calorimeter', 'and', 'the', 'signal', 'is', 'searched', 'for', 'by', 'requiring', 'two', 'additional', 'prompt', 'photons', 'strong', 'kinematic', 'requirements', 'reduce', 'the', 'initial', '05times', '106', 'events', 'to', '2300', 'candidates', 'from', 'which', 'we', 'extract', 'a', 'signal', 'of', '600', 'pm', '35', 'events', 'by', 'normalizing', 'to', 'the', 'ks', 'to', '2', 'pi0', 'decays', 'counted', 'in', 'the', 'same', 'sample', 'the', 'measured', 'value', 'of', 'brks', 'to', 'gammagamma', 'is', '227', 'pm', '013stat', '003_004', 'syst', 'times', '106', 'in', 'agreement', 'with', 'op4', 'chiral', 'perturbation', 'theory', 'predictions']] | [-0.08053110173023015, 0.19261440412083175, -0.05366007629709202, 0.08869447661436425, -0.025716165284393355, -0.09676344829858863, 0.09047784291942662, 0.3008765353442868, -0.17008068309223745, -0.40800592241657796, -0.011483706975013774, -0.44035609003913123, 0.11889680760941701, 0.14781091416625713, 0.0819508084186964, 0.09316359479271341, 0.10437091996573145, 0.018998342526174383, -0.04585695858349936, -0.18564312004127714, 0.16301717354144785, 0.09197851108547184, 0.21683414642393473, 0.017294653531280346, 0.04954217389331461, 0.00016066744501586072, -0.07968577452402315, -0.09388663103891304, -0.1679777492536232, 0.04201423291988249, 0.24115939412195075, 0.09608780829512398, 0.17285133739096636, -0.3132633443450459, -0.03368968598078936, 0.16787046019817353, 0.14949910206632921, -0.017988219611652312, 0.0004215200933685992, -0.36685240004226216, 0.18504311612377933, -0.1723758024536437, -0.07972695936950913, 0.03527849645615788, 0.08312494956044247, -0.10120074012229452, -0.34213376318803057, 0.14247459116450045, -0.09581041647106758, 0.05829977319990576, -0.01769859270825691, -0.16516618337482214, -0.01588755130796926, -0.011660072752420092, 0.08638622110083816, 0.14620242312957998, 0.1771892217657296, -0.10229592046653124, -0.12961048849138024, 0.3642083967133658, -0.07702031423377775, -0.07604333151357423, 0.15978664192789438, -0.21828181187447626, -0.12032814394478919, 0.27254233755775203, 0.20572518591507105, 0.054859129920259875, -0.251731543445203, 0.04942081704348311, 0.013651777953782585, 0.22289843060298153, 0.11264972558637965, 0.06488582514742802, 0.17590553721493052, 0.15036969582524762, -0.032236011282293475, 0.07206421608771052, -0.18174113978238893, 0.004235929336573463, -0.3606299056482385, -0.11377749277312432, -0.09103232106281212, 0.14067280025119544, -0.0849164841018819, 0.008915687329135835, 0.3365109896658396, 0.1055897830711956, 0.3191364574013278, 0.0040906187787186354, 0.24211566051235422, 0.09400041099615919, 0.08684505814380827, 0.06660751766548856, 0.33700211076939013, 0.16054349864134565, 0.11761829680472147, -0.20260192637942964, -0.018858707720937673, -0.017016493246046593] |
707.3934 | The Projected Rotational Velocity Distribution of a Sample of OB stars
from a Calibration based on Synthetic He I lines | We derive projected rotational velocities (vsini) for a sample of 156
Galactic OB star members of 35 clusters, HII regions, and associations. The HeI
lines at $\lambda\lambda$4026, 4388, and 4471A were analyzed in order to define
a calibration of the synthetic HeI full-widths at half maximum versus stellar
vsini. A grid of synthetic spectra of HeI line profiles was calculated in
non-LTE using an extensive helium model atom and updated atomic data. The
vsini's for all stars were derived using the He I FWHM calibrations but also,
for those target stars with relatively sharp lines, vsini values were obtained
from best fit synthetic spectra of up to 40 lines of CII, NII, OII, AlIII,
MgII, SiIII, and SIII. This calibration is a useful and efficient tool for
estimating the projected rotational velocities of O9-B5 main-sequence stars.
The distribution of vsini for an unbiased sample of early B stars in the
unbound association Cep OB2 is consistent with the distribution reported
elsewhere for other unbound associations.
| astro-ph | we derive projected rotational velocities vsini for a sample of 156 galactic ob star members of 35 clusters hii regions and associations the hei lines at lambdalambda4026 4388 and 4471a were analyzed in order to define a calibration of the synthetic hei fullwidths at half maximum versus stellar vsini a grid of synthetic spectra of hei line profiles was calculated in nonlte using an extensive helium model atom and updated atomic data the vsinis for all stars were derived using the he i fwhm calibrations but also for those target stars with relatively sharp lines vsini values were obtained from best fit synthetic spectra of up to 40 lines of cii nii oii aliii mgii siiii and siii this calibration is a useful and efficient tool for estimating the projected rotational velocities of o9b5 mainsequence stars the distribution of vsini for an unbiased sample of early b stars in the unbound association cep ob2 is consistent with the distribution reported elsewhere for other unbound associations | [['we', 'derive', 'projected', 'rotational', 'velocities', 'vsini', 'for', 'a', 'sample', 'of', '156', 'galactic', 'ob', 'star', 'members', 'of', '35', 'clusters', 'hii', 'regions', 'and', 'associations', 'the', 'hei', 'lines', 'at', 'lambdalambda4026', '4388', 'and', '4471a', 'were', 'analyzed', 'in', 'order', 'to', 'define', 'a', 'calibration', 'of', 'the', 'synthetic', 'hei', 'fullwidths', 'at', 'half', 'maximum', 'versus', 'stellar', 'vsini', 'a', 'grid', 'of', 'synthetic', 'spectra', 'of', 'hei', 'line', 'profiles', 'was', 'calculated', 'in', 'nonlte', 'using', 'an', 'extensive', 'helium', 'model', 'atom', 'and', 'updated', 'atomic', 'data', 'the', 'vsinis', 'for', 'all', 'stars', 'were', 'derived', 'using', 'the', 'he', 'i', 'fwhm', 'calibrations', 'but', 'also', 'for', 'those', 'target', 'stars', 'with', 'relatively', 'sharp', 'lines', 'vsini', 'values', 'were', 'obtained', 'from', 'best', 'fit', 'synthetic', 'spectra', 'of', 'up', 'to', '40', 'lines', 'of', 'cii', 'nii', 'oii', 'aliii', 'mgii', 'siiii', 'and', 'siii', 'this', 'calibration', 'is', 'a', 'useful', 'and', 'efficient', 'tool', 'for', 'estimating', 'the', 'projected', 'rotational', 'velocities', 'of', 'o9b5', 'mainsequence', 'stars', 'the', 'distribution', 'of', 'vsini', 'for', 'an', 'unbiased', 'sample', 'of', 'early', 'b', 'stars', 'in', 'the', 'unbound', 'association', 'cep', 'ob2', 'is', 'consistent', 'with', 'the', 'distribution', 'reported', 'elsewhere', 'for', 'other', 'unbound', 'associations']] | [0.01204846290020663, 0.08312757085181663, 0.0021770851870561822, 0.11189177127074978, -0.06456940261687348, -0.12721726024756208, 0.1295012633063267, 0.5013169595212849, -0.0868964212110128, -0.37800072109395705, -0.020319752161963096, -0.316541897236473, 0.09724369539626311, 0.19497828783264762, -0.0188499037636283, -0.00852806503763408, 0.11257520941356312, -0.07853241803133171, -0.025228034911884203, -0.24135415147872136, 0.26735585025385206, 0.05155029110208062, 0.16382371594002584, -0.05628140752468212, 0.026093253889552283, -0.17716745041126822, -0.11501546914079859, -0.024005330075728304, -0.1661629798753118, 0.08168817644566585, 0.23535164658923025, 0.1893197240345295, 0.18948505548070427, -0.24590752674882907, -0.17342167301678363, 0.03138186613580695, 0.23692458987244647, 0.0791366592000733, -0.034060285742866035, -0.308211569858278, 0.027401406381187248, -0.14893983808823252, -0.18496704190095634, 0.04761872949929517, 0.10239808780808048, 0.08974790765492843, -0.2680127349463694, 0.13075890928419898, -0.054676624265410305, 0.26863094286153805, -0.14756359925017876, -0.2135860389544065, -0.11068315638436212, 0.07627883873575217, -0.037810011983153494, 0.041801073294518126, 0.14812234073394426, -0.0873021042322234, 0.006902455736704768, 0.4104300430274488, -0.14490624520436135, 0.023325566307319627, 0.19041263316556764, -0.16722250792462331, -0.1870131822127596, 0.19699444298138036, 0.12404525143031123, 0.17213126038413862, -0.17799768504617666, -0.04123843488905774, -0.02877627089217213, 0.21063913044341506, 0.06592951399952542, 0.02774321897254314, 0.25281015964063963, 0.0009197265018973453, -0.0013273401778007364, 0.07576740941429441, -0.33685358033664986, -0.02153341060527313, -0.2173015106624613, -0.1265141560265257, -0.09866105762876594, 0.03403906806740036, -0.14940788019921006, -0.13486389011248118, 0.3240453157815392, 0.09142659625245465, 0.21015549549706464, 0.0347961109953668, 0.29504825079376684, 0.0998208421960841, 0.08347924711765868, 0.12668207707027274, 0.29328891159506676, 0.26922530361112024, 0.10036371472682575, -0.25245082635507216, 0.09454816951772865, 0.005337434330736689] |
707.3935 | A Possibility of Volume Refraction of Negative Relativistic Particles in
Bent Crystals | The volume coherent deflection of high-energy positive and negative particles
in uniformly bent crystals is studied. The general analysis of potential
scattering shows that the standard screening potential for a large class of
collisions can cause the volume refraction for negative particles (antiprotons,
electrons) instead of the volume reflection for positive particles (proton,
positrons).
| physics.acc-ph physics.atom-ph physics.gen-ph | the volume coherent deflection of highenergy positive and negative particles in uniformly bent crystals is studied the general analysis of potential scattering shows that the standard screening potential for a large class of collisions can cause the volume refraction for negative particles antiprotons electrons instead of the volume reflection for positive particles proton positrons | [['the', 'volume', 'coherent', 'deflection', 'of', 'highenergy', 'positive', 'and', 'negative', 'particles', 'in', 'uniformly', 'bent', 'crystals', 'is', 'studied', 'the', 'general', 'analysis', 'of', 'potential', 'scattering', 'shows', 'that', 'the', 'standard', 'screening', 'potential', 'for', 'a', 'large', 'class', 'of', 'collisions', 'can', 'cause', 'the', 'volume', 'refraction', 'for', 'negative', 'particles', 'antiprotons', 'electrons', 'instead', 'of', 'the', 'volume', 'reflection', 'for', 'positive', 'particles', 'proton', 'positrons']] | [-0.10016930293015859, 0.2914905468760817, -0.05431962524609709, 0.1280531510473574, -0.022106887513978615, -0.1287836845806817, -0.02179686483685617, 0.32733161706063485, -0.24361282481846433, -0.25613233536757807, -0.05658143537800276, -0.37537120117081535, -0.009091273640040998, 0.18117788927284656, 0.027790188729004177, 0.033113666223707025, 0.0394575442015021, -0.021070943007038698, 0.011839001668030742, -0.17733185405463534, 0.30923075700627156, 0.10701501332395882, 0.24398189169113282, 0.17585460964107402, 0.10421075939235312, 0.08596446985999744, -0.008755365110657833, 0.08851495412764726, -0.0698385551283233, 0.08475629084676728, 0.18537035677582026, -0.002017376159697219, 0.19545995264693541, -0.39788451242364115, -0.24036691908690114, 0.16540997939322283, 0.15153129500524504, 0.11107533010740385, -0.21254990003244192, -0.23199478456862616, 0.03913583825514824, -0.14053687523981487, -0.21621162222301657, -0.020522318064683565, 0.04948517371451965, 0.060822924288610615, -0.2817966684319631, 0.11598897549427217, 0.03738902971424438, -0.0034976850729435682, -0.08545223658007604, -0.13862019275203002, 0.01771236526245182, 0.04079753061308077, 0.11228315826695136, -0.030716652162718, 0.20478585545249559, -0.12078194357929062, -0.08617365241257681, 0.40370494561890763, -0.037667941230918385, -0.1658431996367182, 0.1391976790640641, -0.2439065682184365, -0.024108217442753137, 0.27766722030247803, 0.25859824816385907, 0.10600678381268624, -0.13162359079622007, 0.08352536052633594, -0.05618988832941762, 0.15401877521502752, 0.15205979997430136, -0.015011730408770274, 0.2506828113562531, 0.09484590918550061, 0.03315206949978515, 0.09536175292386259, -0.1157197797998648, -0.020227955326575925, -0.3384245140133081, -0.2266996086023196, -0.1909932211317398, 0.07358265890851962, -0.11671005060041487, -0.20157439170267294, 0.3404199736261809, 0.00409845511118571, 0.13582474257176122, 0.010300846339237911, 0.2778967887473603, 0.07862017962529703, 0.061380728932649446, 0.031166038613904407, 0.28151613384640467, 0.14114613644778728, 0.15250088905708659, -0.22894453459971206, 0.0340489960724005, 0.015874434107293684] |
707.3936 | Closed form solutions for symmetric water filling games | We study power control in optimization and game frameworks. In the
optimization framework there is a single decision maker who assigns network
resources and in the game framework users share the network resources according
to Nash equilibrium. The solution of these problems is based on so-called
water-filling technique, which in turn uses bisection method for solution of
non-linear equations for Lagrange multiplies. Here we provide a closed form
solution to the water-filling problem, which allows us to solve it in a finite
number of operations. Also, we produce a closed form solution for the Nash
equilibrium in symmetric Gaussian interference game with an arbitrary number of
users. Even though the game is symmetric, there is an intrinsic hierarchical
structure induced by the quantity of the resources available to the users. We
use this hierarchical structure to perform a successive reduction of the game.
In addition, to its mathematical beauty, the explicit solution allows one to
study limiting cases when the crosstalk coefficient is either small or large.
We provide an alternative simple proof of the convergence of the Iterative
Water Filling Algorithm. Furthermore, it turns out that the convergence of
Iterative Water Filling Algorithm slows down when the crosstalk coefficient is
large. Using the closed form solution, we can avoid this problem. Finally, we
compare the non-cooperative approach with the cooperative approach and show
that the non-cooperative approach results in a more fair resource distribution.
| cs.NI cs.GT | we study power control in optimization and game frameworks in the optimization framework there is a single decision maker who assigns network resources and in the game framework users share the network resources according to nash equilibrium the solution of these problems is based on socalled waterfilling technique which in turn uses bisection method for solution of nonlinear equations for lagrange multiplies here we provide a closed form solution to the waterfilling problem which allows us to solve it in a finite number of operations also we produce a closed form solution for the nash equilibrium in symmetric gaussian interference game with an arbitrary number of users even though the game is symmetric there is an intrinsic hierarchical structure induced by the quantity of the resources available to the users we use this hierarchical structure to perform a successive reduction of the game in addition to its mathematical beauty the explicit solution allows one to study limiting cases when the crosstalk coefficient is either small or large we provide an alternative simple proof of the convergence of the iterative water filling algorithm furthermore it turns out that the convergence of iterative water filling algorithm slows down when the crosstalk coefficient is large using the closed form solution we can avoid this problem finally we compare the noncooperative approach with the cooperative approach and show that the noncooperative approach results in a more fair resource distribution | [['we', 'study', 'power', 'control', 'in', 'optimization', 'and', 'game', 'frameworks', 'in', 'the', 'optimization', 'framework', 'there', 'is', 'a', 'single', 'decision', 'maker', 'who', 'assigns', 'network', 'resources', 'and', 'in', 'the', 'game', 'framework', 'users', 'share', 'the', 'network', 'resources', 'according', 'to', 'nash', 'equilibrium', 'the', 'solution', 'of', 'these', 'problems', 'is', 'based', 'on', 'socalled', 'waterfilling', 'technique', 'which', 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707.3937 | Cohomology theories for homotopy algebras and noncommutative geometry | This paper builds a general framework in which to study cohomology theories
of strongly homotopy algebras, namely $A_\infty, C_\infty$ and
$L_\infty$-algebras. This framework is based on noncommutative geometry as
expounded by Connes and Kontsevich. The developed machinery is then used to
establish a general form of Hodge decomposition of Hochschild and cyclic
cohomology of $C_\infty$-algebras. This generalizes and puts in a conceptual
framework previous work by Loday and Gerstenhaber-Schack.
| math.QA math.AG math.KT | this paper builds a general framework in which to study cohomology theories of strongly homotopy algebras namely a_infty c_infty and l_inftyalgebras this framework is based on noncommutative geometry as expounded by connes and kontsevich the developed machinery is then used to establish a general form of hodge decomposition of hochschild and cyclic cohomology of c_inftyalgebras this generalizes and puts in a conceptual framework previous work by loday and gerstenhaberschack | [['this', 'paper', 'builds', 'a', 'general', 'framework', 'in', 'which', 'to', 'study', 'cohomology', 'theories', 'of', 'strongly', 'homotopy', 'algebras', 'namely', 'a_infty', 'c_infty', 'and', 'l_inftyalgebras', 'this', 'framework', 'is', 'based', 'on', 'noncommutative', 'geometry', 'as', 'expounded', 'by', 'connes', 'and', 'kontsevich', 'the', 'developed', 'machinery', 'is', 'then', 'used', 'to', 'establish', 'a', 'general', 'form', 'of', 'hodge', 'decomposition', 'of', 'hochschild', 'and', 'cyclic', 'cohomology', 'of', 'c_inftyalgebras', 'this', 'generalizes', 'and', 'puts', 'in', 'a', 'conceptual', 'framework', 'previous', 'work', 'by', 'loday', 'and', 'gerstenhaberschack']] | [-0.11688791096642398, 0.009733090551732026, -0.14612182626244274, 0.08439932186392717, -0.1478989733302075, -0.14962092963168802, -0.03971327561716401, 0.2880124363616325, -0.3427137048051193, -0.2309954053438876, 0.06853784995821668, -0.10910227962270164, -0.2538018967164174, 0.13988400874254497, -0.25862711987903586, -0.03128546192580699, 0.018285777720123315, 0.0466693547534068, -0.07148404939663663, -0.23358053244326427, 0.4711329610883326, 0.0517519978178746, 0.25163775330403715, 0.09180301009420899, 0.07875803778148585, 0.03629673199232101, -0.06062371797346766, -0.015681352155903976, -0.18737849578315366, 0.23577978885800077, 0.32312853310419165, 0.06307326359134438, 0.2137401215546508, -0.3889959797371125, -0.13145484921077025, 0.08863311988450047, 0.11010983628153369, 0.04364514005863094, 0.003379058097894101, -0.3068936296158295, 0.09251516335306392, -0.24421647749841213, -0.08320256732944128, -0.10620985390699428, 0.04326226135742837, -0.0196904384335368, -0.21486501082562018, -0.016061290248256664, 0.12263532508117403, 0.12910859200401584, -0.09230862516046003, -0.05785954438244411, -0.020212998303274315, 0.03420249303883832, -0.010505849394299414, 0.07407519476744684, 0.10264885515325527, -0.015551729441579917, -0.2043448462744878, 0.3650106814541463, -0.039713703986743225, -0.17867336015257498, 0.1030762340043388, -0.12082328484815451, -0.27122631301914435, 0.036687766431250435, 0.040733973779108215, 0.2173110287690508, -0.07505726075960674, 0.2378382608623487, -0.08499831086078631, 0.04025297574833899, 0.10133314277112916, -0.021446366475530616, 0.11373662118516538, 0.14483508844252513, 0.03130526071333367, 0.15677272517190222, 0.05522899290857216, -0.11760317923609113, -0.2999441395311252, -0.2232168581188265, -0.07423404380139234, 0.1273063661267414, -0.06626782485218954, -0.18109985490909952, 0.4255729123200897, 0.12333101965487003, 0.16230491144866074, 0.1599007490971733, 0.25257708018888597, 0.03453930914975649, 0.06802487996933253, -0.0013976726761978605, 0.13784481227343928, 0.32363022235559596, 0.06188814314352213, -0.09070613713719058, -0.046478102348096996, 0.3159336067763144] |
707.3938 | On the conundrum of deriving exact solutions from approximate master
equations | We derive the exact time-evolution for a general quantum system under the
influence of pure phase-noise and demonstrate that for a Gaussian initial state
of the bath, the exact result can be obtained also within a perturbative
time-local master equation approach already in second order of the system-bath
coupling strength. We reveal that this equivalence holds if the initial state
of the bath can be mapped to a Gaussian phase-space distribution function.
Moreover, we discuss the relation to the standard Bloch-Redfield approach.
| quant-ph cond-mat.stat-mech | we derive the exact timeevolution for a general quantum system under the influence of pure phasenoise and demonstrate that for a gaussian initial state of the bath the exact result can be obtained also within a perturbative timelocal master equation approach already in second order of the systembath coupling strength we reveal that this equivalence holds if the initial state of the bath can be mapped to a gaussian phasespace distribution function moreover we discuss the relation to the standard blochredfield approach | [['we', 'derive', 'the', 'exact', 'timeevolution', 'for', 'a', 'general', 'quantum', 'system', 'under', 'the', 'influence', 'of', 'pure', 'phasenoise', 'and', 'demonstrate', 'that', 'for', 'a', 'gaussian', 'initial', 'state', 'of', 'the', 'bath', 'the', 'exact', 'result', 'can', 'be', 'obtained', 'also', 'within', 'a', 'perturbative', 'timelocal', 'master', 'equation', 'approach', 'already', 'in', 'second', 'order', 'of', 'the', 'systembath', 'coupling', 'strength', 'we', 'reveal', 'that', 'this', 'equivalence', 'holds', 'if', 'the', 'initial', 'state', 'of', 'the', 'bath', 'can', 'be', 'mapped', 'to', 'a', 'gaussian', 'phasespace', 'distribution', 'function', 'moreover', 'we', 'discuss', 'the', 'relation', 'to', 'the', 'standard', 'blochredfield', 'approach']] | [-0.11396495635598534, 0.11406688827158111, -0.15553262345947144, 0.08760924788799546, -0.01731283363045716, -0.13508499988422887, 0.06676109603935534, 0.3272337818904439, -0.2696448373239169, -0.2509859845087659, 0.03733166244602194, -0.2074952735111299, -0.11678905983273757, 0.1801060520015975, 0.018688398240156834, 0.05888359284982449, 0.09048431864144599, 0.061992660499882044, -0.09869053618550845, -0.22573057030178195, 0.3423443066819412, 0.0021658507331910474, 0.26765401112824316, 0.045027148281649984, 0.13806618587681796, 0.018016554172634907, 0.07867600223640116, 0.0086032642596742, -0.12776877569327863, 0.05236631602676381, 0.203026935605832, 0.09209408068547817, 0.2592461038006061, -0.3994733151048422, -0.21636176156447973, 0.0947446495623941, 0.13121797622567632, 0.21241540203961293, 0.00012551931800638757, -0.32986400571719904, 0.045806237837163415, -0.2204049267243912, -0.18302035270395076, -0.10422041757236712, -0.019060600492194657, 0.01113170776629775, -0.31139637458297176, 0.12727750461547147, 0.07120270205366357, -0.0418169807483692, -0.06830123168552613, -0.06320896224266417, 0.0018167665750696892, 0.1265880285943972, -0.018123392890230183, 0.007684770977215432, 0.13648374598450597, -0.11418750191891067, -0.05055256710365051, 0.3436473571899824, -0.13634690045373424, -0.24223180522108678, 0.13161703049227957, -0.1555683460063869, -0.11652288657489585, 0.070031826009565, 0.11612821472581566, 0.09049967560553696, -0.20574997228047834, 0.12959714548409598, -0.033801169458367836, 0.1862076193082896, 0.02718785203277792, 0.05414828142256294, 0.13171348780416314, 0.10493122750507076, 0.04054766510068098, 0.20554060117262074, -0.040808507082302395, -0.18020181302776242, -0.3437915426201937, -0.15655315906752082, -0.20498645129306922, 0.11722711279772495, -0.11163756046880735, -0.13552894259848428, 0.394041552458231, 0.20367539329908607, 0.13454874172216144, 0.07997009007078482, 0.25960303942968205, 0.23748948833643935, -0.020982331244229543, 0.06487126886935496, 0.2657994653393583, 0.17131352453299503, 0.05157750751823187, -0.2823902105762788, 0.04380875467549919, 0.04695144404157451] |
707.3939 | Star Formation in Massive Low Surface Brightness Galaxies | Massive low surface brightness galaxies have disk central surface
brightnesses at least one magnitude fainter than the night sky, but total
magnitudes and masses that show they are among the largest galaxies known. Like
all low surface brightness (LSB) galaxies, massive LSB galaxies are often in
the midst of star formation yet their stellar light has remained diffuse,
raising the question of how star formation is proceeding within these galaxies.
We have undertaken a multi-wavelength study to clarify the structural
parameters and stellar and gas content of these enigmatic systems. The results
of these studies, which include HI, CO, optical, near UV, and far UV images of
the galaxies will provide the most in depth study done to date of how, when,
and where star formation proceeds within this unique subset of the galaxy
population.
| astro-ph | massive low surface brightness galaxies have disk central surface brightnesses at least one magnitude fainter than the night sky but total magnitudes and masses that show they are among the largest galaxies known like all low surface brightness lsb galaxies massive lsb galaxies are often in the midst of star formation yet their stellar light has remained diffuse raising the question of how star formation is proceeding within these galaxies we have undertaken a multiwavelength study to clarify the structural parameters and stellar and gas content of these enigmatic systems the results of these studies which include hi co optical near uv and far uv images of the galaxies will provide the most in depth study done to date of how when and where star formation proceeds within this unique subset of the galaxy population | [['massive', 'low', 'surface', 'brightness', 'galaxies', 'have', 'disk', 'central', 'surface', 'brightnesses', 'at', 'least', 'one', 'magnitude', 'fainter', 'than', 'the', 'night', 'sky', 'but', 'total', 'magnitudes', 'and', 'masses', 'that', 'show', 'they', 'are', 'among', 'the', 'largest', 'galaxies', 'known', 'like', 'all', 'low', 'surface', 'brightness', 'lsb', 'galaxies', 'massive', 'lsb', 'galaxies', 'are', 'often', 'in', 'the', 'midst', 'of', 'star', 'formation', 'yet', 'their', 'stellar', 'light', 'has', 'remained', 'diffuse', 'raising', 'the', 'question', 'of', 'how', 'star', 'formation', 'is', 'proceeding', 'within', 'these', 'galaxies', 'we', 'have', 'undertaken', 'a', 'multiwavelength', 'study', 'to', 'clarify', 'the', 'structural', 'parameters', 'and', 'stellar', 'and', 'gas', 'content', 'of', 'these', 'enigmatic', 'systems', 'the', 'results', 'of', 'these', 'studies', 'which', 'include', 'hi', 'co', 'optical', 'near', 'uv', 'and', 'far', 'uv', 'images', 'of', 'the', 'galaxies', 'will', 'provide', 'the', 'most', 'in', 'depth', 'study', 'done', 'to', 'date', 'of', 'how', 'when', 'and', 'where', 'star', 'formation', 'proceeds', 'within', 'this', 'unique', 'subset', 'of', 'the', 'galaxy', 'population']] | [-0.03745515468159553, 0.09430523516472292, -0.05189832724561846, 0.12214755747743226, -0.09711801031328461, -0.02566964403829641, 0.033263981839021045, 0.45812771066040214, -0.12081191008306902, -0.360041826232164, 0.08710496936864393, -0.3093570506269181, -0.06420626893156657, 0.19505758291041408, -0.06282486938009108, -0.03475284347325753, 0.020562215277028305, -0.07342760584778497, -0.04697224958886013, -0.3723169990711742, 0.3165322722867131, 0.034756208842413296, 0.1502081627716069, -0.0045803460189037856, 0.025183495258291562, -0.1232843584381044, -0.10045748919386555, -0.06115454542968008, -0.1803210149849528, 0.022500729791958024, 0.27727223790802613, 0.13209415114381248, 0.22183230669686088, -0.40532328551290214, -0.22350433343952453, 0.06974403623715733, 0.21797008657207093, 0.05111340216999115, -0.10206466976001306, -0.2202232937897659, 0.08744122745400226, -0.12145179778820386, -0.16357438562748333, 0.0714561238815939, 0.043213057525766395, 0.00712317758826194, -0.12059566161284845, 0.14161599629334415, 0.03615911763023447, 0.1295499965445035, -0.08576700307118396, -0.09780180430108751, -0.13287706416514183, 0.11550295617780648, 0.021360358366466783, 0.09475407791496426, 0.21454212673146417, -0.2002825676791232, 0.0332926202358471, 0.42362575089489973, -0.004679826228487029, 0.032676795552726144, 0.28863079819345366, -0.2685268175822717, -0.18635627419032433, 0.1161606877076405, 0.17544627327609946, 0.10714408092166262, -0.18796289188116874, 0.0022032715190477945, -0.03610988947804327, 0.1930850827790521, 0.061136288254487296, 0.13566079853216825, 0.3864329784453191, 0.1131237672486653, 0.06809331267313273, 0.06722048135577804, -0.22795888434371187, -0.005469204423328241, -0.17985633580290056, -0.08236587437697583, -0.1332122440803451, 0.07586547897231799, -0.09903963484437016, -0.10670862400007469, 0.36569499131981975, 0.11182450959458948, 0.21963973885609045, 0.05739451071195718, 0.32312670499690016, 0.07040134296511058, 0.14617562165518325, 0.12839829851010884, 0.30001959311603393, 0.15509015084071845, 0.032815641161330324, -0.23976512583990203, 0.06036918242289512, -0.014163414085352863] |
707.394 | A proposal for the missing mass: it is just the outer, far one | The paper has benn withdrawn because the computation of the external virial
contains an error which invalidate the main result.
| astro-ph | the paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result | [['the', 'paper', 'has', 'benn', 'withdrawn', 'because', 'the', 'computation', 'of', 'the', 'external', 'virial', 'contains', 'an', 'error', 'which', 'invalidate', 'the', 'main', 'result']] | [-0.1600492350757122, -0.05406952724661096, -0.09442511424422265, -0.015166631154716014, -0.05239870548248291, -0.06462686527520418, 0.009315367607632652, 0.2208967201411724, -0.24183067549020051, -0.33095440370962026, 0.11997319315560162, -0.2652361995540559, -0.08644516551867128, 0.1487858820706606, -0.21533543991245097, 9.547192603349685e-05, 0.04822365129366517, 0.028349222615361214, -0.014016657887259499, -0.3291246958076954, 0.3232836127281189, 0.09547827020287514, 0.2266540477052331, 0.15306515619158745, 0.05150279961526394, 0.002507537417113781, -0.10052287448197603, -0.06937315934337676, -0.09774878602474928, 0.10066965036094189, 0.14901580270379783, 0.07115305121988058, 0.4068330965936184, -0.35140769290737806, -0.15686203455552458, 0.11277353502810002, 0.21149578592739998, 0.15844953946652823, -0.04201899347826839, -0.2900768260471523, 0.1340955051360652, -0.26680736551061274, -0.16108542401343584, -0.005248638428747654, 0.024998749513179062, -0.06501509845256806, -0.19790061172097922, 0.12471065470017492, 0.19779803790152073, 0.0862263894174248, -0.0029082993045449258, -0.16299579648766666, 0.030482333898544312, 0.19486823910847306, 0.15589326042681934, 0.11943986204569228, 0.15167258467990904, -0.09483903095679125, -0.04815977844409645, 0.4125475288368762, 0.03149036974646151, -0.1559525413904339, 0.12277803514152766, -0.03747448674403131, -0.1339895859360695, 0.15377078079618514, 0.09850094703142531, 0.028956572338938714, -0.18495043786242604, 0.1379657205194235, -0.033033110480755565, 0.25647765668109057, 0.09793449020944536, 0.017014637403190137, 0.1584007166326046, 0.08603396040853113, 0.06502222456037998, 0.14938740953803062, -0.05646974071860313, -0.07849028736818582, -0.3589941803365946, -0.1567709192633629, -0.2808733731508255, 0.06048959270119667, -0.007576874271035194, -0.2546952405013144, 0.337140598683618, 0.2447420227341354, 0.131971138715744, 0.028266483132028952, 0.37375875362195077, 0.16228618868044578, 0.09517476987093687, 0.11182617601007223, 0.3438380598090589, 0.18492896999232472, 0.09536107461899519, -0.1628530716523528, 0.16775201426353306, 0.13278681579977275] |
707.3941 | Dynamics of the Chain of Oscillators with Long-Range Interaction: From
Synchronization to Chaos | We consider a chain of nonlinear oscillators with long-range interaction of
the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha
<2. In the continues limit the system's dynamics is described by the
Ginzburg-Landau equation with complex coefficients. Such a system has a new
parameter alpha that is responsible for the complexity of the medium and that
strongly influences possible regimes of the dynamics. We study different
spatial-temporal patterns of the dynamics depending on alpha and show
transitions from synchronization of the motion to broad-spectrum oscillations
and to chaos.
| nlin.CD nlin.PS | we consider a chain of nonlinear oscillators with longrange interaction of the type 1l1alpha where l is a distance between oscillators and 0 alpha 2 in the continues limit the systems dynamics is described by the ginzburglandau equation with complex coefficients such a system has a new parameter alpha that is responsible for the complexity of the medium and that strongly influences possible regimes of the dynamics we study different spatialtemporal patterns of the dynamics depending on alpha and show transitions from synchronization of the motion to broadspectrum oscillations and to chaos | [['we', 'consider', 'a', 'chain', 'of', 'nonlinear', 'oscillators', 'with', 'longrange', 'interaction', 'of', 'the', 'type', '1l1alpha', 'where', 'l', 'is', 'a', 'distance', 'between', 'oscillators', 'and', '0', 'alpha', '2', 'in', 'the', 'continues', 'limit', 'the', 'systems', 'dynamics', 'is', 'described', 'by', 'the', 'ginzburglandau', 'equation', 'with', 'complex', 'coefficients', 'such', 'a', 'system', 'has', 'a', 'new', 'parameter', 'alpha', 'that', 'is', 'responsible', 'for', 'the', 'complexity', 'of', 'the', 'medium', 'and', 'that', 'strongly', 'influences', 'possible', 'regimes', 'of', 'the', 'dynamics', 'we', 'study', 'different', 'spatialtemporal', 'patterns', 'of', 'the', 'dynamics', 'depending', 'on', 'alpha', 'and', 'show', 'transitions', 'from', 'synchronization', 'of', 'the', 'motion', 'to', 'broadspectrum', 'oscillations', 'and', 'to', 'chaos']] | [-0.21079308068850539, 0.19194689056334588, -0.06020964100793168, 0.021005680079694715, -0.016313544807157347, -0.1364583935547661, 0.026109456105137263, 0.3088419066721594, -0.3012691319480047, -0.2500173155586798, 0.06205972563859157, -0.2886907656441678, -0.20023102021090441, 0.18150346262564698, 0.03229161417418784, 0.00244865130510304, 0.008286474272608757, 0.04948775411665358, -0.030631901983524785, -0.1339396569483842, 0.35286579094827175, 0.013853689184883139, 0.22020912147127092, -0.0072912827062492185, 0.11529389535496523, -0.01901997826164486, 0.0462184967626664, 0.02936564245680859, -0.16988103276925867, 0.0611025660048024, 0.16667150160627808, 0.05294947007384438, 0.2581892756893617, -0.3894998622178049, -0.2534523135803353, 0.10809919596291505, 0.15545460402678984, 0.08967797317961743, 0.020100366394547233, -0.2919676823152618, 0.027376260989662875, -0.11712747161368747, -0.14917048150264137, -0.04265985529931201, 0.09167224343784236, 0.11345211332305692, -0.2906666629036868, 0.11035192991699, 0.07566280069423247, 0.04258119507314085, -0.04850835413518515, -0.03267286233168996, -0.011619414980676803, 0.13717147771391894, 0.029424535567299105, -0.01107812524200059, 0.08759875013237144, -0.15288241007007086, -0.09856058415639532, 0.39733415659885485, -0.09703820011230534, -0.19275324201149927, 0.2274121049085407, -0.181173623657202, -0.11150677557932315, 0.12109872115683834, 0.1705993085813064, 0.09714238009937518, -0.12495886056509974, 0.10754390802385687, 0.034229986887721976, 0.22927183181988997, 0.007892725748716148, 0.02489419965134872, 0.15059989339743668, 0.21968025205385677, 0.05963914126034949, 0.1316853560978076, -0.07647364795259788, -0.12021078570594929, -0.2698714331529298, -0.11875481601640746, -0.15049796175866664, 0.0547064197004087, -0.10718661750306037, -0.15089881724094625, 0.4012895228934812, 0.13048352230600938, 0.21133487774148726, 0.011805001244583464, 0.21062421055694858, 0.15062672410999517, 0.002808169635770085, 0.04643758364369745, 0.22831471817015292, 0.1440117911737576, 0.09316594027248877, -0.28685653617267837, 0.047985940700867674, 0.047323494643013886] |
707.3942 | Mach Cones and Hydrodynamic Flow: Probing Big Bang Matter in the
Laboratory | A critical discussion of the present signals for the phase transition to
quark-gluon plasma (QGP) is given. Since hadronic rescattering models predict
much larger flow than observed from 1 to 50 A GeV laboratory bombarding
energies, this observation is interpreted as potential evidence for a
first-order phase transition at high baryon density. A detailed discussion of
the collective flow as a barometer for the equation of state (EoS) of hot dense
matter at RHIC follows. Here, hadronic rescattering models can explain < 30 %
of the observed elliptic flow v_2 for $p_T > 2$ GeV/c. This is interpreted as
an evidence for the production of superdense matter at RHIC. The connection of
v_2 to jet suppression is examined. A study of Mach shocks generated by fast
partonic jets propagating through the QGP is given. The main goal is to take
into account different types of collective motion during the formation and
evolution of this matter. A significant deformation of Mach shocks in central
Au+Au collisions at RHIC and LHC energies as compared to the case of jet
propagation in a static medium is predicted. A new hydrodynamical study of jet
energy loss is presented.
| hep-th | a critical discussion of the present signals for the phase transition to quarkgluon plasma qgp is given since hadronic rescattering models predict much larger flow than observed from 1 to 50 a gev laboratory bombarding energies this observation is interpreted as potential evidence for a firstorder phase transition at high baryon density a detailed discussion of the collective flow as a barometer for the equation of state eos of hot dense matter at rhic follows here hadronic rescattering models can explain 30 of the observed elliptic flow v_2 for p_t 2 gevc this is interpreted as an evidence for the production of superdense matter at rhic the connection of v_2 to jet suppression is examined a study of mach shocks generated by fast partonic jets propagating through the qgp is given the main goal is to take into account different types of collective motion during the formation and evolution of this matter a significant deformation of mach shocks in central auau collisions at rhic and lhc energies as compared to the case of jet propagation in a static medium is predicted a new hydrodynamical study of jet energy loss is presented | [['a', 'critical', 'discussion', 'of', 'the', 'present', 'signals', 'for', 'the', 'phase', 'transition', 'to', 'quarkgluon', 'plasma', 'qgp', 'is', 'given', 'since', 'hadronic', 'rescattering', 'models', 'predict', 'much', 'larger', 'flow', 'than', 'observed', 'from', '1', 'to', '50', 'a', 'gev', 'laboratory', 'bombarding', 'energies', 'this', 'observation', 'is', 'interpreted', 'as', 'potential', 'evidence', 'for', 'a', 'firstorder', 'phase', 'transition', 'at', 'high', 'baryon', 'density', 'a', 'detailed', 'discussion', 'of', 'the', 'collective', 'flow', 'as', 'a', 'barometer', 'for', 'the', 'equation', 'of', 'state', 'eos', 'of', 'hot', 'dense', 'matter', 'at', 'rhic', 'follows', 'here', 'hadronic', 'rescattering', 'models', 'can', 'explain', '30', 'of', 'the', 'observed', 'elliptic', 'flow', 'v_2', 'for', 'p_t', '2', 'gevc', 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707.3943 | Simulations of turbulent convection in rotating young solar-like stars:
Differential rotation and meridional circulation | We present the results of three-dimensional simulations of the deep
convective envelope of a young (10 Myr) one-solar-mass star, obtained with the
Anelastic Spherical Harmonic code. Since young stars are known to be faster
rotators than their main sequence counterparts, we have systematically studied
the impact of the stellar rotation speed, by considering stars spinning up to
five times as fast as the Sun. The aim of these nonlinear models is to
understand the complex interactions between convection and rotation. We discuss
the influence of the turbulence level and of the rotation rate on the intensity
and the topology of the mean flows. For all of the computed models, we find a
solar-type superficial differential rotation, with an equatorial acceleration,
and meridional circulation that exhibits a multicellular structure. Even if the
differential rotation contrast decreases only marginally for high rotation
rates, the meridional circulation intensity clearly weakens according to our
simulations. We have also shown that, for Taylor numbers above a certain
threshold (Ta>10^9), the convection can develop a vacillating behavior. Since
simulations with high turbulence levels and rotation rates exhibit strongly
cylindrical internal rotation profiles, we have considered the influence of
baroclinic effects at the base of the convective envelope of these young Suns,
to see whether such effect can modify the otherwise near cylindrical profiles
to produce more conical, solar-like profiles.
| astro-ph | we present the results of threedimensional simulations of the deep convective envelope of a young 10 myr onesolarmass star obtained with the anelastic spherical harmonic code since young stars are known to be faster rotators than their main sequence counterparts we have systematically studied the impact of the stellar rotation speed by considering stars spinning up to five times as fast as the sun the aim of these nonlinear models is to understand the complex interactions between convection and rotation we discuss the influence of the turbulence level and of the rotation rate on the intensity and the topology of the mean flows for all of the computed models we find a solartype superficial differential rotation with an equatorial acceleration and meridional circulation that exhibits a multicellular structure even if the differential rotation contrast decreases only marginally for high rotation rates the meridional circulation intensity clearly weakens according to our simulations we have also shown that for taylor numbers above a certain threshold ta109 the convection can develop a vacillating behavior since simulations with high turbulence levels and rotation rates exhibit strongly cylindrical internal rotation profiles we have considered the influence of baroclinic effects at the base of the convective envelope of these young suns to see whether such effect can modify the otherwise near cylindrical profiles to produce more conical solarlike profiles | [['we', 'present', 'the', 'results', 'of', 'threedimensional', 'simulations', 'of', 'the', 'deep', 'convective', 'envelope', 'of', 'a', 'young', '10', 'myr', 'onesolarmass', 'star', 'obtained', 'with', 'the', 'anelastic', 'spherical', 'harmonic', 'code', 'since', 'young', 'stars', 'are', 'known', 'to', 'be', 'faster', 'rotators', 'than', 'their', 'main', 'sequence', 'counterparts', 'we', 'have', 'systematically', 'studied', 'the', 'impact', 'of', 'the', 'stellar', 'rotation', 'speed', 'by', 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707.3944 | Non-Relativistic Strings in Expanding Spacetime | We obtain a non-relativistic diffeomorphism invariant string action as a
special limit of the Nambu-Goto action in an FLRW background. We use this
action to study non-relativistic string dynamics in an expanding universe and
construct an analytic model describing the macroscopic properties of
non-relativistic string networks. The non-relativistic constraint equations
allow arbitrarily small string velocities and thus a `frustrated' equation of
state for non-interacting strings can be obtained without the need of a
velocity damping mechanism. Assuming that colliding string segments reconnect
by exchange of partners, non-relativistic string networks exhibit scaling
behaviour, but with enhanced energy densities due to the reduced average string
velocity. Non-relativistic string networks can be relevant in several contexts
in condensed matter physics and cosmology.
| astro-ph gr-qc hep-th | we obtain a nonrelativistic diffeomorphism invariant string action as a special limit of the nambugoto action in an flrw background we use this action to study nonrelativistic string dynamics in an expanding universe and construct an analytic model describing the macroscopic properties of nonrelativistic string networks the nonrelativistic constraint equations allow arbitrarily small string velocities and thus a frustrated equation of state for noninteracting strings can be obtained without the need of a velocity damping mechanism assuming that colliding string segments reconnect by exchange of partners nonrelativistic string networks exhibit scaling behaviour but with enhanced energy densities due to the reduced average string velocity nonrelativistic string networks can be relevant in several contexts in condensed matter physics and cosmology | [['we', 'obtain', 'a', 'nonrelativistic', 'diffeomorphism', 'invariant', 'string', 'action', 'as', 'a', 'special', 'limit', 'of', 'the', 'nambugoto', 'action', 'in', 'an', 'flrw', 'background', 'we', 'use', 'this', 'action', 'to', 'study', 'nonrelativistic', 'string', 'dynamics', 'in', 'an', 'expanding', 'universe', 'and', 'construct', 'an', 'analytic', 'model', 'describing', 'the', 'macroscopic', 'properties', 'of', 'nonrelativistic', 'string', 'networks', 'the', 'nonrelativistic', 'constraint', 'equations', 'allow', 'arbitrarily', 'small', 'string', 'velocities', 'and', 'thus', 'a', 'frustrated', 'equation', 'of', 'state', 'for', 'noninteracting', 'strings', 'can', 'be', 'obtained', 'without', 'the', 'need', 'of', 'a', 'velocity', 'damping', 'mechanism', 'assuming', 'that', 'colliding', 'string', 'segments', 'reconnect', 'by', 'exchange', 'of', 'partners', 'nonrelativistic', 'string', 'networks', 'exhibit', 'scaling', 'behaviour', 'but', 'with', 'enhanced', 'energy', 'densities', 'due', 'to', 'the', 'reduced', 'average', 'string', 'velocity', 'nonrelativistic', 'string', 'networks', 'can', 'be', 'relevant', 'in', 'several', 'contexts', 'in', 'condensed', 'matter', 'physics', 'and', 'cosmology']] | [-0.17156410699185892, 0.2109433984722181, -0.12159683923589207, 0.14280191083740004, -0.08037067655505252, -0.16006601731754652, -0.02241905265636429, 0.3091653737419543, -0.2372965734577229, -0.29820085628380794, -0.0022762914735064725, -0.24520990979748175, -0.05706561517612148, 0.1308789327642841, -0.0069254490653514675, 0.03598809497383963, 0.05408804210982904, 0.0987842621442181, -0.0760699018362534, -0.22596849283367834, 0.30375320346979034, 0.06944659765919342, 0.2805856768699253, 0.02231186326248806, 0.09662348521137688, -0.04878880932903653, 0.022523356988994766, 0.055058228720699535, -0.1299476736099112, 0.08705056450494073, 0.22398843764847912, 0.0576671706727792, 0.14451450226484103, -0.5029975794443563, -0.2743611009948018, 0.09193770335439373, 0.2082687719908989, 0.2143367306548689, -0.011116931641458714, -0.3126505251598208, 0.01834687769037335, -0.218289701743521, -0.1851093750486166, -0.08100364567563251, 0.05694704216771892, -0.015574219820535733, -0.18128606923581922, 0.09136676189622708, 0.017529591489504993, -0.0074135376184008735, -0.07940412274201815, -0.010194319801232895, -0.0029496092255375966, 0.08685369730903571, 0.10899070067773377, 0.08042186757103548, 0.1527861017624245, -0.24418384613598376, -0.11730889441492427, 0.4519106014122983, -0.13175142549580948, -0.23429265383537076, 0.13548723681235075, -0.09836318376356688, -0.1571847703699179, 0.12307848341806064, 0.15228148935628788, 0.09354861669571084, -0.17947604359291933, 0.18991282552005254, -0.01888146163786159, 0.13393892681577338, 0.11598071394910832, 0.05827708349821447, 0.28715320934831096, 0.11997015123106852, 0.003384515001368122, 0.11200977980546623, -0.022499704172936494, -0.1706909219804807, -0.3513206758794664, -0.07530470325478486, -0.1289833410048247, 0.13107229140000182, -0.14848219542414393, -0.1930881577794354, 0.28780965994605245, 0.12756878915125458, 0.19139867447347952, 0.06039431871173261, 0.22504150774721213, 0.11209581899084933, 0.00674179957850891, 0.12430134871113702, 0.21138992987009658, 0.1610853845163585, 0.088791270114231, -0.2313375947654576, -0.08058047838149075, 0.14510272663603185] |
707.3945 | k-Disjunctive cuts and a finite cutting plane algorithm for general
mixed integer linear programs | In this paper we give a generalization of the well known split cuts of Cook,
Kannan and Schrijver to cuts which are based on multi-term disjunctions. They
will be called k-disjunctive cuts. The starting point is the question what kind
of cuts is needed for a finite cutting plane algorithm for general mixed
integer programs. We will deal with this question in detail and derive cutting
planes based on k-disjunctions related to a given cut vector. Finally we will
show how a finite cutting plane algorithm can be established using these cuts
in combination with Gomory mixed integer cuts.
| math.OC | in this paper we give a generalization of the well known split cuts of cook kannan and schrijver to cuts which are based on multiterm disjunctions they will be called kdisjunctive cuts the starting point is the question what kind of cuts is needed for a finite cutting plane algorithm for general mixed integer programs we will deal with this question in detail and derive cutting planes based on kdisjunctions related to a given cut vector finally we will show how a finite cutting plane algorithm can be established using these cuts in combination with gomory mixed integer cuts | [['in', 'this', 'paper', 'we', 'give', 'a', 'generalization', 'of', 'the', 'well', 'known', 'split', 'cuts', 'of', 'cook', 'kannan', 'and', 'schrijver', 'to', 'cuts', 'which', 'are', 'based', 'on', 'multiterm', 'disjunctions', 'they', 'will', 'be', 'called', 'kdisjunctive', 'cuts', 'the', 'starting', 'point', 'is', 'the', 'question', 'what', 'kind', 'of', 'cuts', 'is', 'needed', 'for', 'a', 'finite', 'cutting', 'plane', 'algorithm', 'for', 'general', 'mixed', 'integer', 'programs', 'we', 'will', 'deal', 'with', 'this', 'question', 'in', 'detail', 'and', 'derive', 'cutting', 'planes', 'based', 'on', 'kdisjunctions', 'related', 'to', 'a', 'given', 'cut', 'vector', 'finally', 'we', 'will', 'show', 'how', 'a', 'finite', 'cutting', 'plane', 'algorithm', 'can', 'be', 'established', 'using', 'these', 'cuts', 'in', 'combination', 'with', 'gomory', 'mixed', 'integer', 'cuts']] | [-0.10210105811891425, 0.10342938235010375, -0.14239853744385475, 0.11267257979158889, -0.17490452702742876, -0.12807592187921718, 0.09657564935077596, 0.37727866221468936, -0.317627671181906, -0.3021952458129255, 0.1533184027330489, -0.24574311369473173, -0.13284371875840978, 0.18812751566712774, -0.12826693537357003, 0.05318533265291108, 0.06000915594091735, -0.021476977658410046, -0.06320149731011004, -0.337788073864487, 0.32158216495623754, -0.02924305746408621, 0.20504017978829822, 0.07142981846058338, 0.08218917577076204, 0.0972002942028657, -0.058544310779531594, 0.12721721919915957, -0.15589257543330493, 0.10757356424835156, 0.286471878636878, 0.1667454318748307, 0.21762843645110572, -0.39114731761444477, -0.09788450581914525, 0.1132112459205187, 0.15315258091546058, 0.11804127359412342, -0.024691944046260444, -0.20408323791223704, 0.12522700736683207, -0.07319685832606916, -0.10041417782530956, -0.07825372274004921, -0.017032215328522258, 0.014384705381295116, -0.2793170149178849, -0.04686876955758972, 0.08384786912158478, 0.04447561673434168, 0.01886175317958612, -0.16545727423310624, 0.0018472655738713507, 0.0329564241116348, -0.060066850798338955, 0.06601285373254381, 0.03823049410159901, -0.06804884386911374, -0.19550671557098934, 0.3580316537799141, 0.0035287477238074945, -0.26786407661269007, 0.12997109970538734, -0.09293629448937694, -0.17783055240864454, 0.08039557334688521, 0.19329990303028644, 0.16117153391626077, -0.13810307504825256, 0.09536137979011983, -0.10167119307227471, 0.08646235078814458, 0.13479007755108563, -0.027780197773815237, 0.18764218008241704, 0.13917010407126748, 0.13100579901857629, 0.22491455448493747, -0.055238825139426385, -0.06270703535584599, -0.3379856359367211, -0.11786288618213334, -0.13708394970840862, 0.031328387856099406, -0.04466929600889718, -0.1699851658003232, 0.3541810427667554, 0.1103028005574705, 0.20103292966011874, 0.06534673652693283, 0.2623365766647243, 0.16613505002994514, 0.04987713506387681, 0.08730391728854978, 0.1683779121064533, 0.12682388860194646, 0.03837234569598258, -0.15410981191077375, 0.01383389806682148, 0.11777104112828515] |
707.3946 | Implementing universal quantum gates in coupled cavities | We study a linear array of coupled cavities interacting with two level
systems and show how to construct individually addressable qubits in this
system from the long-lived atom-photon excitations (polaritons) at each site.
We derive the system dynamics and show that is described by an XY Hamiltonian.
We proceed by showing how to implement non-local quantum gates and show that
combined with the inherent ability for individual addressing, universal quantum
computation is possible in this system. We finally discuss the prospects for
experimental implementation using various technologies involving dopants as
atoms, quantum dots or Cooper pair boxes.
| quant-ph | we study a linear array of coupled cavities interacting with two level systems and show how to construct individually addressable qubits in this system from the longlived atomphoton excitations polaritons at each site we derive the system dynamics and show that is described by an xy hamiltonian we proceed by showing how to implement nonlocal quantum gates and show that combined with the inherent ability for individual addressing universal quantum computation is possible in this system we finally discuss the prospects for experimental implementation using various technologies involving dopants as atoms quantum dots or cooper pair boxes | [['we', 'study', 'a', 'linear', 'array', 'of', 'coupled', 'cavities', 'interacting', 'with', 'two', 'level', 'systems', 'and', 'show', 'how', 'to', 'construct', 'individually', 'addressable', 'qubits', 'in', 'this', 'system', 'from', 'the', 'longlived', 'atomphoton', 'excitations', 'polaritons', 'at', 'each', 'site', 'we', 'derive', 'the', 'system', 'dynamics', 'and', 'show', 'that', 'is', 'described', 'by', 'an', 'xy', 'hamiltonian', 'we', 'proceed', 'by', 'showing', 'how', 'to', 'implement', 'nonlocal', 'quantum', 'gates', 'and', 'show', 'that', 'combined', 'with', 'the', 'inherent', 'ability', 'for', 'individual', 'addressing', 'universal', 'quantum', 'computation', 'is', 'possible', 'in', 'this', 'system', 'we', 'finally', 'discuss', 'the', 'prospects', 'for', 'experimental', 'implementation', 'using', 'various', 'technologies', 'involving', 'dopants', 'as', 'atoms', 'quantum', 'dots', 'or', 'cooper', 'pair', 'boxes']] | [-0.14545728599643046, 0.18368688342056463, 0.010358172898497624, 0.04378698211278498, 0.038589198965598474, -0.24086074641972935, 0.047736481487386156, 0.4131094700532015, -0.25867486942665097, -0.281470202797659, 0.01420760717598203, -0.30014104464273783, -0.159800768160194, 0.1997264147659322, 0.01731843516001353, 0.05107660188349252, 0.07909494423374687, -0.028138525627995122, -0.04045399232856334, -0.24784493373380495, 0.3069616509169417, 0.012623719444988085, 0.2594183573460917, 0.03762713103007871, 0.1237025643439637, 0.02415112134059603, 0.07009915574501778, -0.007526993290665224, -0.11950167764014848, 0.11887585429100263, 0.25020927974963847, 0.06652882523335439, 0.22898641920926951, -0.5005168581823098, -0.16388535633180337, 0.05283478881021213, 0.17997209960354743, 0.20719879249245235, -0.07050523608826946, -0.3211841346196753, 0.03888193439305508, -0.18476332107693264, -0.12715056324953733, -0.14039208690549448, -0.006068637604181914, 0.03394822717149809, -0.21572894901613293, 0.00822865908254975, 0.05968810456862539, 0.023721007553418886, 0.013893459069052922, -0.02544338310727869, 0.027829691339236174, 0.08895734042054061, -0.08703965127717742, -0.021849770236042683, 0.1564958836059998, -0.11115827219387919, -0.20897427195510299, 0.35664130958066004, -0.062430371211712084, -0.20185695419606475, 0.20688246036927724, -0.10876215463168151, -0.102752114154072, 0.01757933041464883, 0.1526846956112422, 0.0668811245446967, -0.16327383540349907, 0.08388208402820309, 0.001100401691708368, 0.21671903060422731, 0.011470015616799445, 0.1341188753590218, 0.26248153101307214, 0.1626608004582297, 0.05688990268030578, 0.2170768791003172, -0.050911453864585184, -0.12561890276055304, -0.29095201952786176, -0.19601669801955984, -0.20652420081428646, 0.07158427121905014, 0.004861965651123439, -0.11190290407268043, 0.37745656453303456, 0.18742871431504213, 0.17708037028415607, -0.005821259255453791, 0.2720925825283162, 0.11874825892803144, 0.05199279695672473, 0.05653886135533145, 0.21127539340733098, 0.12149689542897738, 0.02116087953723276, -0.30455437450208844, -0.0370415827864301, 0.02942468905815442] |
707.3947 | A computation of invariants of a rational self-map | I compute the dynamical degrees in C. Voisin's example of a rational self-map
of the variety of lines on a cubic fourfold.
| math.AG | i compute the dynamical degrees in c voisins example of a rational selfmap of the variety of lines on a cubic fourfold | [['i', 'compute', 'the', 'dynamical', 'degrees', 'in', 'c', 'voisins', 'example', 'of', 'a', 'rational', 'selfmap', 'of', 'the', 'variety', 'of', 'lines', 'on', 'a', 'cubic', 'fourfold']] | [-0.2783781580457633, -0.004279993813146244, -0.05756422335451299, -0.043770463967865166, -0.04729974176734686, -0.13869548752501776, 0.06451014954258096, 0.2917648262598298, -0.2744947759942575, -0.20294830171306702, 0.06589171503649348, -0.2482059895992279, -0.17799453742124818, 0.22473217259076508, -0.040721266361122783, -0.08161801368590783, -0.032175259812819684, 0.014863528395918283, -0.1303110732273622, -0.32018535042350943, 0.366031179246916, -0.09828149286014112, 0.15820913021029395, 0.07812579911710187, 0.15220136360519312, -0.0020112559961324387, 0.02431088184345175, -0.013325519097799604, -0.18304580458524553, 0.1393982315097343, 0.23145865022458814, 0.10074920315210792, 0.16761721679094163, -0.3136970507065681, -0.17216753333129667, 0.15840688004920428, 0.08441735550083897, 0.10187987018037926, -0.01840938147771257, -0.15744489458897573, 0.033524883318353786, -0.14021918821063908, -0.2522008435970003, -0.07773219286040826, 0.06905575587668202, 0.05736309347081591, -0.1977758580310778, -0.06630518981678919, 0.1060027181824394, 0.25085207853804936, 0.026770922397686678, -0.09524401201104576, -0.14669485288587483, -0.004388019590723244, -0.05872596038336104, 0.09292805656282739, 0.07760671818290245, -0.1510242027950219, -0.1138658532872796, 0.45198046280579135, -0.10186883753737096, -0.1976731872101399, 0.15185610899193722, -0.144862360955978, -0.18298808817582374, 0.2239299357276071, 0.18918036804957825, 0.21468865338035606, 0.015786632260477, 0.1960469476074319, -0.10387061087583954, 0.1465532320488075, 0.04675274244932966, -0.05682442736261609, 0.20550628154623238, 0.037688895551995796, 0.04302099457179958, 0.13135269954430193, -0.053959562559612095, -0.10185253950343891, -0.39663977260616695, -0.1978880630128763, -0.1335871366106651, 0.2008225701812824, -0.15860957584597848, -0.20685834259810773, 0.48854669657620514, -0.013818652115084908, 0.2219998768784783, 0.010349969125606796, 0.17518207227641885, 0.035783197307451206, 0.028855174891015686, -0.0378488264977932, 0.13051652027802033, 0.1407752852378921, -0.040869298285212026, -0.24268472660332918, -0.011388470185920596, 0.14836219236762685] |
707.3948 | Potential density of rational points on the variety of lines of a cubic
fourfold | We prove the potential density of rational points on the variety of lines of
a sufficiently general cubic fourfold defined over a number field, where
``sufficiently general'' means that a condition of Terasoma type is satisfied.
These varieties have trivial canonical bundle and have geometric Picard group
equal to $\mathbb{Z}$.
| math.AG | we prove the potential density of rational points on the variety of lines of a sufficiently general cubic fourfold defined over a number field where sufficiently general means that a condition of terasoma type is satisfied these varieties have trivial canonical bundle and have geometric picard group equal to mathbbz | [['we', 'prove', 'the', 'potential', 'density', 'of', 'rational', 'points', 'on', 'the', 'variety', 'of', 'lines', 'of', 'a', 'sufficiently', 'general', 'cubic', 'fourfold', 'defined', 'over', 'a', 'number', 'field', 'where', 'sufficiently', 'general', 'means', 'that', 'a', 'condition', 'of', 'terasoma', 'type', 'is', 'satisfied', 'these', 'varieties', 'have', 'trivial', 'canonical', 'bundle', 'and', 'have', 'geometric', 'picard', 'group', 'equal', 'to', 'mathbbz']] | [-0.2392908018437447, 0.065213268045336, -0.08220050521194935, 0.020599913701880725, -0.0991318606864661, -0.19227762549184263, 0.030903179813176394, 0.3157303724065423, -0.2622012117318809, -0.21006859134882688, 0.07080308016389608, -0.20564219295978547, -0.1615279148425907, 0.2030693786405027, -0.10363532911986112, -0.022874842397868633, 0.0010446105897426606, 0.10838414003141224, -0.11260388511698693, -0.3547414292418398, 0.4262297884188592, -0.07232583910226822, 0.24038119363598526, 0.040738411040510986, 0.14058668687939643, -0.014476841595023871, 0.05625765189528465, 0.07916782263666391, -0.1440803644301195, 0.0899704121099785, 0.26942959272302686, 0.03173001725692302, 0.23364561561495065, -0.4138134152069688, -0.1865278367139399, 0.24289835529401899, 0.11493479166179896, 0.027707948200404644, -0.03825603978475556, -0.19591652707196772, 0.13719282215897693, -0.14551824044436215, -0.21430990966036917, -0.10770615167915822, 0.05872264342615381, 0.0770837986562401, -0.25878090183250607, -0.03978341341018677, 0.051251170188188554, 0.19157816471531988, -0.012434012535959483, -0.0935036184405908, -0.09331485350616277, 0.02120896991342306, 0.012735557383857668, 0.06030848257243633, 0.0801072124298662, -0.09333546014502644, -0.04162538738921285, 0.39223168052732943, -0.052199170542880896, -0.20873931342735885, 0.12475236383266747, -0.13412001221440734, -0.154808659106493, 0.20034205104224384, 0.10082922089844942, 0.18365732911974192, 0.02385645607020706, 0.18450367421726696, -0.12969775180565193, 0.08921824447344989, 0.08269757203757763, -0.017229765399824827, 0.16033172922208905, 0.03513333719223738, 0.10494612329639494, 0.05195262030349113, -0.03834605568554252, -0.07595862980000674, -0.3633799171447754, -0.18102047790773212, -0.17546017239801587, 0.19293743398506194, -0.11660799547302304, -0.18292727250605822, 0.3948168464377522, 0.020782270580530168, 0.192734591756016, 0.09905450161080807, 0.19205730978399516, 0.10993865825235843, 0.047227350249886516, 0.023782180985435844, 0.1418980742059648, 0.20216936910524963, -0.044310657607857136, -0.1218535255547613, -0.01148414846509695, 0.15337965004611762] |
707.3949 | Nonequilibrium Renormalization Theory I | In the present article we consider some general class of divergent diagrams
in Keldysh diagram technique. These divergences arise for nonequilibrium matter
and closely related to the divergences in the kinetic theory of gases. We
suggest a scheme of renormalization of such divergences and illustrate it on
some examples. In the other papers of these series we develop the general
theory of renormalization of nonequilibrium diagram technique. The fact that
thermal divergences in non-equilibrium diagram technique can be renormalized
leads to the following consequence: to prove that the system tends to the
thermal equilibrium one should to take into account the behaviour of the system
on its boundary. In this paper we illustrate this fact on Bogoliubov derivation
of kinetic equations.
| cond-mat.stat-mech math-ph math.MP | in the present article we consider some general class of divergent diagrams in keldysh diagram technique these divergences arise for nonequilibrium matter and closely related to the divergences in the kinetic theory of gases we suggest a scheme of renormalization of such divergences and illustrate it on some examples in the other papers of these series we develop the general theory of renormalization of nonequilibrium diagram technique the fact that thermal divergences in nonequilibrium diagram technique can be renormalized leads to the following consequence to prove that the system tends to the thermal equilibrium one should to take into account the behaviour of the system on its boundary in this paper we illustrate this fact on bogoliubov derivation of kinetic equations | [['in', 'the', 'present', 'article', 'we', 'consider', 'some', 'general', 'class', 'of', 'divergent', 'diagrams', 'in', 'keldysh', 'diagram', 'technique', 'these', 'divergences', 'arise', 'for', 'nonequilibrium', 'matter', 'and', 'closely', 'related', 'to', 'the', 'divergences', 'in', 'the', 'kinetic', 'theory', 'of', 'gases', 'we', 'suggest', 'a', 'scheme', 'of', 'renormalization', 'of', 'such', 'divergences', 'and', 'illustrate', 'it', 'on', 'some', 'examples', 'in', 'the', 'other', 'papers', 'of', 'these', 'series', 'we', 'develop', 'the', 'general', 'theory', 'of', 'renormalization', 'of', 'nonequilibrium', 'diagram', 'technique', 'the', 'fact', 'that', 'thermal', 'divergences', 'in', 'nonequilibrium', 'diagram', 'technique', 'can', 'be', 'renormalized', 'leads', 'to', 'the', 'following', 'consequence', 'to', 'prove', 'that', 'the', 'system', 'tends', 'to', 'the', 'thermal', 'equilibrium', 'one', 'should', 'to', 'take', 'into', 'account', 'the', 'behaviour', 'of', 'the', 'system', 'on', 'its', 'boundary', 'in', 'this', 'paper', 'we', 'illustrate', 'this', 'fact', 'on', 'bogoliubov', 'derivation', 'of', 'kinetic', 'equations']] | [-0.11956807196694465, 0.13160666007517782, -0.18135314239542605, 0.09806416539113569, -0.0482960326504732, -0.08596571874304497, 0.055309796279627246, 0.3219747224068346, -0.28006159234022304, -0.25048288378156414, 0.042216415688287746, -0.28686447078862404, -0.20306122119053582, 0.17784537651291318, -0.08213367836919329, 0.03158502590848318, 0.015378842226514393, 0.000788671761166212, -0.07935853038235252, -0.2439490036888833, 0.3874021485093827, -0.02408581613447548, 0.25595640058798547, 0.11267816289212586, 0.05545803206041455, 0.0003841450276268908, -0.04513207356607126, 0.051223494972618036, -0.17957443231007195, 0.08655552767132493, 0.2403225166923251, 0.05677177425096781, 0.2626800396949176, -0.4288645161946943, -0.23039669607388824, 0.05331615419396438, 0.16830961951747353, 0.1525493310495041, -0.0036407664566385474, -0.2204074502560841, 0.020052492587292213, -0.20474449249584814, -0.17142204718648896, -0.12996329686196506, -0.06528585156029444, -0.009494036882500018, -0.20970047335332828, 0.0853169086304578, 0.050039194732103956, 0.013910075210896898, -0.03927134413537685, -0.08197629399797764, 0.01303961611745402, 0.09379842821970459, 0.08140182168095965, -0.0174727202624021, 0.11719591947357086, -0.13278856448259604, -0.05313885949305759, 0.37311937559919417, -0.07052321065879188, -0.15932610373913256, 0.1876836873529371, -0.164799344377623, -0.19141818703852656, 0.10789992778816006, 0.12999989116787602, 0.14395043893701837, -0.19311981817538088, 0.1001052731496074, -0.013315563168076507, 0.07268085455029341, 0.011072879066413716, 0.04299381619015293, 0.1749105056062772, 0.0850247387882045, 0.03901836132315134, 0.1973358950234203, -0.012161856882797539, -0.1655495982724896, -0.3756065755035759, -0.1764104573502521, -0.1541197948573419, 0.050116011041624484, -0.0719702702921465, -0.21830179634665656, 0.38337170498835643, 0.22873935096874093, 0.15102722098707405, 0.03167468726573404, 0.2606784337746703, 0.18889481390533922, 0.03173750658588838, 0.020679915747181934, 0.229325336441186, 0.13760244493826854, 0.084061874757898, -0.28920466278117796, -0.018966400535961936, 0.13603321675303554] |
707.395 | Ramanujan's Harmonic Number Expansion into Negative Powers of a
Triangular Number | An algebraic transformation of the DeTemple-Wang half-integer approximation
to the harmonic series produces the general formula and error estimate for the
Ramanujan expansion for the nth harmonic number into negative powers of the nth
triangular number. We also discuss the history of the Ramanujan expansion for
the nth harmonic number as well as sharp estimates of its accuracy, with
complete proofs, and we compare it with other approximative formulas.
| math.CA math.GM | an algebraic transformation of the detemplewang halfinteger approximation to the harmonic series produces the general formula and error estimate for the ramanujan expansion for the nth harmonic number into negative powers of the nth triangular number we also discuss the history of the ramanujan expansion for the nth harmonic number as well as sharp estimates of its accuracy with complete proofs and we compare it with other approximative formulas | [['an', 'algebraic', 'transformation', 'of', 'the', 'detemplewang', 'halfinteger', 'approximation', 'to', 'the', 'harmonic', 'series', 'produces', 'the', 'general', 'formula', 'and', 'error', 'estimate', 'for', 'the', 'ramanujan', 'expansion', 'for', 'the', 'nth', 'harmonic', 'number', 'into', 'negative', 'powers', 'of', 'the', 'nth', 'triangular', 'number', 'we', 'also', 'discuss', 'the', 'history', 'of', 'the', 'ramanujan', 'expansion', 'for', 'the', 'nth', 'harmonic', 'number', 'as', 'well', 'as', 'sharp', 'estimates', 'of', 'its', 'accuracy', 'with', 'complete', 'proofs', 'and', 'we', 'compare', 'it', 'with', 'other', 'approximative', 'formulas']] | [-0.12673890482384356, 0.045756788604408294, -0.05969473626464605, 0.08427198774948277, -0.0945480208405677, -0.07268435759332907, 0.01311432323692476, 0.304123153197853, -0.26514559428152795, -0.27290398835697594, 0.09042257808751482, -0.3014386538279188, -0.13910965533560718, 0.2587661209879169, -0.007004410938166342, 0.04480325242911931, 0.002374293128548957, 0.1494797183006406, -0.07138573137276313, -0.2908001201816232, 0.2678147122154341, 0.059709480840384084, 0.18769148369114297, 0.04521394938038772, 0.092754608951509, 0.008078967953812988, -0.023239176186239895, -0.04759862765615039, -0.1583753143088817, 0.15225921752040877, 0.18853919870932312, 0.06893887568046064, 0.2718501507085474, -0.4167184865732184, -0.10185134412227746, 0.10670211514019791, 0.1586586345356944, 0.09885274262770134, 0.0003641687388367513, -0.2240589161759571, 0.0510974062661476, -0.19112518483855048, -0.19605366436435895, -0.13208661583142683, 0.046753173036610376, 0.11762507070842035, -0.293063143364099, 0.10809432861012336, 0.10999821547096979, 0.04887558931402643, -0.04238649798207916, -0.17634281146970085, 0.024058130401981008, 0.13979581466821187, 0.03813724734765642, -0.015584616625667824, 0.008570055737543632, -0.10236452834557414, -0.10133557533845305, 0.37514161995119033, -0.11964393147568711, -0.1953086583491634, 0.05898072932134656, -0.20971203704967217, -0.1411070773816284, 0.11829809530857294, 0.11877805473940338, 0.11750442248440403, -0.03009863794945619, 0.06904093899099868, -0.03241134522934718, 0.08883959683589637, 0.16297899912494948, 0.028585030845373265, 0.12415590875453371, 0.020166169235701945, 0.06910964054302038, 0.22390673878030878, -0.02436664661474745, -0.07044301538125557, -0.3563958972089869, -0.20249409212813, -0.2442083626109011, 0.06646736959159813, -0.19711134297155214, -0.23594610036953406, 0.40464655238696756, 0.07634507708580178, 0.19177447699065156, 0.1605445981327006, 0.303546856102698, 0.22151229546665596, 0.007186173091587775, -0.00027811701190383993, 0.13545271043446572, 0.2201236375771901, 0.0371006208965007, -0.2075922650983557, 0.021531720645725727, 0.22820460933315403] |
707.3951 | Symplectic $C_\infty$-algebras | In this paper we show that a strongly homotopy commutative (or $C_\infty$-)
algebra with an invariant inner product on its cohomology can be uniquely
extended to a symplectic $C_\infty$-algebra (an $\infty$-generalisation of a
commutative Frobenius algebra introduced by Kontsevich). This result relies on
the algebraic Hodge decomposition of the cyclic Hochschild cohomology of a
$\ci$-algebra and does not generalize to algebras over other operads.
| math.QA math.AG math.KT | in this paper we show that a strongly homotopy commutative or c_infty algebra with an invariant inner product on its cohomology can be uniquely extended to a symplectic c_inftyalgebra an inftygeneralisation of a commutative frobenius algebra introduced by kontsevich this result relies on the algebraic hodge decomposition of the cyclic hochschild cohomology of a cialgebra and does not generalize to algebras over other operads | [['in', 'this', 'paper', 'we', 'show', 'that', 'a', 'strongly', 'homotopy', 'commutative', 'or', 'c_infty', 'algebra', 'with', 'an', 'invariant', 'inner', 'product', 'on', 'its', 'cohomology', 'can', 'be', 'uniquely', 'extended', 'to', 'a', 'symplectic', 'c_inftyalgebra', 'an', 'inftygeneralisation', 'of', 'a', 'commutative', 'frobenius', 'algebra', 'introduced', 'by', 'kontsevich', 'this', 'result', 'relies', 'on', 'the', 'algebraic', 'hodge', 'decomposition', 'of', 'the', 'cyclic', 'hochschild', 'cohomology', 'of', 'a', 'cialgebra', 'and', 'does', 'not', 'generalize', 'to', 'algebras', 'over', 'other', 'operads']] | [-0.2031790829684225, 0.041938642994219046, -0.1540334206975756, 0.04729326415972243, -0.17753573660288127, -0.11914797958677574, -0.07932642839601144, 0.31760889063439063, -0.46063615285581155, -0.1869284906875222, 0.1183426664041866, -0.12257373564305805, -0.1791231057103423, 0.15071844451895525, -0.2921434846075793, -0.11080650246660825, 0.06176835791988959, 0.15186514768509135, -0.14123986043681902, -0.2780466169689692, 0.4828875692891738, 0.03690861578985688, 0.1561096316312497, 0.057671140192166695, 0.08055405682253261, 0.022801960244842413, -0.034653098337472446, -0.026401705093561642, -0.14469232182302455, 0.13064453895053557, 0.3556979732107251, 0.02087320547340618, 0.1451328153845914, -0.36769212061359036, -0.05403770911957948, 0.20240361948737934, 0.1809636930664701, -0.011431840128235279, -0.0010688303211223214, -0.29235285391370136, 0.0996881934904283, -0.2842710279228707, -0.0889162290616021, -0.1057594395543058, 0.047188366432824445, -0.021921039784267064, -0.23625037723761652, -0.05644530622709182, 0.1264959030123728, 0.1528473181439744, -0.10516952306234968, -0.043551388908282765, -0.12075003469362855, 0.017673738680088952, -0.0874711814441628, 0.04447998758405447, 0.1461273380480106, -0.019894505903545405, -0.20943948731667572, 0.3460489294581836, -0.050977054337460186, -0.240995388876106, 0.11471842540307872, -0.18196010509986552, -0.23686505681384476, 0.11053947545588017, -0.03011437331236178, 0.20582743011595261, 0.00014527392904123952, 0.2384906328206266, -0.15537872583034537, 0.08201505138628906, 0.08817697875201702, -0.030641068126105012, 0.1338610701983975, 0.06462080155934898, 0.07989743527685923, 0.12993809929955, 0.08712038374505937, -0.06102179830533362, -0.2824219684492076, -0.21063115125364293, -0.11421622089560955, 0.21752516627560498, -0.12086939609646159, -0.22978053133814566, 0.45465588116747957, 0.08859930644863315, 0.15923973485346762, 0.16638688321766112, 0.25290073820525, 0.0329065442671098, 0.16299229146041458, 0.01769940029349058, 0.10912068987325314, 0.315426746627406, -0.004845476673630577, -0.12249895428577738, -0.05550330397372524, 0.2772834729703684] |
707.3952 | Threshold Resummation Effects in the Associated Production of Chargino
and Neutralino at Hadron Colliders | We investigate the QCD effects in the associated production of the chargino
and the neutralino, $\tilde\chi^\pm_{1}$ and $\tilde\chi^0_{2}$, in the Minimal
Supersymmetric Standard Model (MSSM) at both the Fermilab Tevatron and the CERN
Large Hadron Collider (LHC). We include the next-to-leading order (NLO) QCD
corrections (including supersymmetric QCD) and the threshold resummation
effects. Our results show that, compared to the NLO predictions, the threshold
resummation effects can increase the total cross sections by 3.6% and 3.9% for
the associated production of $\tilde\chi^+_{1}\tilde\chi^0_{2}$ and
$\tilde\chi^-_{1}\tilde\chi^0_{2}$ at the LHC, respectively, and by 4.7% for
those of $\tilde\chi^\pm_{1}\tilde\chi^0_{2}$ at the Tevatron. In the invariant
mass distributions the resummation effects are significant for large invariant
mass. The threshold resummation reduces the dependence of the total cross
sections at the LHC (Tevatron) on the renormalization/factorization scales to
5% (4%) from up to 7% (11%) at NLO.
| hep-ph | we investigate the qcd effects in the associated production of the chargino and the neutralino tildechipm_1 and tildechi0_2 in the minimal supersymmetric standard model mssm at both the fermilab tevatron and the cern large hadron collider lhc we include the nexttoleading order nlo qcd corrections including supersymmetric qcd and the threshold resummation effects our results show that compared to the nlo predictions the threshold resummation effects can increase the total cross sections by 36 and 39 for the associated production of tildechi_1tildechi0_2 and tildechi_1tildechi0_2 at the lhc respectively and by 47 for those of tildechipm_1tildechi0_2 at the tevatron in the invariant mass distributions the resummation effects are significant for large invariant mass the threshold resummation reduces the dependence of the total cross sections at the lhc tevatron on the renormalizationfactorization scales to 5 4 from up to 7 11 at nlo | [['we', 'investigate', 'the', 'qcd', 'effects', 'in', 'the', 'associated', 'production', 'of', 'the', 'chargino', 'and', 'the', 'neutralino', 'tildechipm_1', 'and', 'tildechi0_2', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'at', 'both', 'the', 'fermilab', 'tevatron', 'and', 'the', 'cern', 'large', 'hadron', 'collider', 'lhc', 'we', 'include', 'the', 'nexttoleading', 'order', 'nlo', 'qcd', 'corrections', 'including', 'supersymmetric', 'qcd', 'and', 'the', 'threshold', 'resummation', 'effects', 'our', 'results', 'show', 'that', 'compared', 'to', 'the', 'nlo', 'predictions', 'the', 'threshold', 'resummation', 'effects', 'can', 'increase', 'the', 'total', 'cross', 'sections', 'by', '36', 'and', '39', 'for', 'the', 'associated', 'production', 'of', 'tildechi_1tildechi0_2', 'and', 'tildechi_1tildechi0_2', 'at', 'the', 'lhc', 'respectively', 'and', 'by', '47', 'for', 'those', 'of', 'tildechipm_1tildechi0_2', 'at', 'the', 'tevatron', 'in', 'the', 'invariant', 'mass', 'distributions', 'the', 'resummation', 'effects', 'are', 'significant', 'for', 'large', 'invariant', 'mass', 'the', 'threshold', 'resummation', 'reduces', 'the', 'dependence', 'of', 'the', 'total', 'cross', 'sections', 'at', 'the', 'lhc', 'tevatron', 'on', 'the', 'renormalizationfactorization', 'scales', 'to', '5', '4', 'from', 'up', 'to', '7', '11', 'at', 'nlo']] | [-0.013131898514035604, 0.2050229703258399, -0.080547097635091, 0.17154730994092382, 0.008824457281161154, -0.05816828348484916, -0.0017819316463841908, 0.2897978433052692, -0.14687035126152678, -0.3069435691838895, 0.021616177526268893, -0.4254676147289844, 0.07725028529007366, 0.1373520637634615, 0.0879941709285629, 0.18395270991301083, 0.09878110987188267, -0.0345051342421515, -0.08010623154088693, -0.28822538015125587, 0.30039758528785215, 0.09052415051079099, 0.18508925184901076, 0.247356478985318, 0.07024581138166072, 0.036293898773652945, -0.07430017205289281, -0.08177961549465207, -0.12423271491670808, 0.03216334015461684, 0.2507423189893851, 0.014266175651531397, 0.09542505256831646, -0.3153255069771768, -0.0461389172444309, 0.10834849821876033, 0.12227445028290368, 0.1061394919339311, -0.00786476396192945, -0.26861571202702494, 0.17059602749709418, -0.2940586274692222, -0.09614096136436379, -0.028073437997828358, -0.03272209833443597, -0.08737553577816141, -0.3156070878216322, 0.07391744953971627, -0.08798992120579857, 0.03666164202318675, 0.0457946194059121, -0.22828669110785468, -0.12868506271236888, -0.01075404468734843, 0.10414866354583047, 0.050760943914993084, 0.19784232828955073, -0.24959282842262284, -0.23901187732437815, 0.3932851833439823, -0.08108004178274827, -0.11814589872686328, 0.1505187197210456, -0.25788793747272826, -0.15295174172269585, 0.1993975562542893, 0.285493682641401, 0.08440288524413346, -0.14856801250531082, 0.18117524595446952, 0.06620209786932969, 0.14739022630374823, 0.09854806596210794, 0.03614312865724112, 0.1509630195627772, 0.18916134482951483, 0.013527766609078517, 0.038452284088344786, -0.1347632377899414, -0.10129355015975518, -0.5288521667429502, -0.06043275233790062, -0.002064657242347797, 0.01779670254799767, -0.1188525996649464, -0.047745248167843056, 0.3774699265258792, 0.16702927621182703, 0.30493494520044845, 0.10759737432016518, 0.30814829409338423, 0.12012466806260383, 0.1311452689513554, 0.05799407480430934, 0.34254435013534257, 0.11899649719302745, 0.12708258344724344, -0.29364052127905027, -0.009973005590744424, 0.07636321630949776] |
707.3953 | Stable modification of relative curves | We generalize theorems of Deligne-Mumford and de Jong on semi-stable
modifications of families of proper curves. The main result states that after a
generically \'etale alteration of the base any (not necessarily proper) family
of multipointed curves with semi-stable generic fiber admits a minimal
semi-stable modification. The latter can also be characterized by the property
that its geometric fibers have no certain exceptional components. The main step
of our proof is uniformization of one-dimensional extensions of valued fields.
Riemann-Zariski spaces are then used to obtain the result over any integral
base.
| math.AG | we generalize theorems of delignemumford and de jong on semistable modifications of families of proper curves the main result states that after a generically etale alteration of the base any not necessarily proper family of multipointed curves with semistable generic fiber admits a minimal semistable modification the latter can also be characterized by the property that its geometric fibers have no certain exceptional components the main step of our proof is uniformization of onedimensional extensions of valued fields riemannzariski spaces are then used to obtain the result over any integral base | [['we', 'generalize', 'theorems', 'of', 'delignemumford', 'and', 'de', 'jong', 'on', 'semistable', 'modifications', 'of', 'families', 'of', 'proper', 'curves', 'the', 'main', 'result', 'states', 'that', 'after', 'a', 'generically', 'etale', 'alteration', 'of', 'the', 'base', 'any', 'not', 'necessarily', 'proper', 'family', 'of', 'multipointed', 'curves', 'with', 'semistable', 'generic', 'fiber', 'admits', 'a', 'minimal', 'semistable', 'modification', 'the', 'latter', 'can', 'also', 'be', 'characterized', 'by', 'the', 'property', 'that', 'its', 'geometric', 'fibers', 'have', 'no', 'certain', 'exceptional', 'components', 'the', 'main', 'step', 'of', 'our', 'proof', 'is', 'uniformization', 'of', 'onedimensional', 'extensions', 'of', 'valued', 'fields', 'riemannzariski', 'spaces', 'are', 'then', 'used', 'to', 'obtain', 'the', 'result', 'over', 'any', 'integral', 'base']] | [-0.18654103584301013, 0.07743923235070574, -0.1962744152930739, 0.04766637393513919, -0.1249258431124982, -0.13801222975662614, 0.0040243046414516455, 0.32701645074616914, -0.2882488697030387, -0.1747806720783586, 0.11431792824129973, -0.180958351325039, -0.13997824751812923, 0.2595789133069607, -0.20313238221537935, -0.014702863823033992, 0.08683847733210404, 0.04742859080843218, -0.07118892166149485, -0.3108410789621073, 0.4302384168226886, -0.06393199073979733, 0.23681226481970113, 0.035644174357722665, 0.12063364585820627, 0.07344174319571191, -0.008334060690805807, -0.012960840292929947, -0.15220867996030502, 0.14548502340183625, 0.3125225901194326, 0.06741835234768606, 0.18489795328619388, -0.35048242046364714, -0.21419457259209274, 0.2697102097630665, 0.08871685859368561, 0.04621813506665793, 0.0052685710949475295, -0.24152885829507895, 0.1363267626144519, -0.13180008782380884, -0.23093390198178834, -0.09846625678691563, 0.014295302885379847, 0.07748600512814637, -0.19318939701002857, -0.04734712964273058, 0.17138915838146643, 0.1151842639300522, -0.07559252661463528, -0.07304497248912742, -0.11773756820104689, 0.03630823792459873, 0.01742524772647072, 0.042623958238247, 0.10347130187981568, -0.06182491669820233, -0.14254120654544208, 0.33589592884271663, -0.11838509726778164, -0.1983660200590288, 0.13755339495121285, -0.0993601770477963, -0.14678793805293167, 0.1839541898436517, 0.05467893514823127, 0.15934382783310427, -0.018854063311284714, 0.17186817467394336, -0.08672944729595067, 0.10623315603767808, 0.13555196626111865, 0.024569821473630658, 0.13463174880758583, 0.06617147156170436, 0.08496559125677987, 0.09487568352315165, -0.0024938527929627306, -0.062345647725793485, -0.41180268137787396, -0.21599021851811762, -0.10157178548563804, 0.12301336883092018, -0.13375558929020862, -0.20411615422670984, 0.41798228780728774, 0.027397635962208348, 0.19201439935304634, 0.12086862642676212, 0.22420545216076648, 0.04670028442933971, 0.07628742096802363, 0.023444866359868383, 0.20159967770994447, 0.1970302276543577, -0.02692697439624181, -0.1131619403015945, 0.013551092831351395, 0.1621093627188232] |
707.3954 | Challenging SO(10) SUSY GUTs with family symmetries through FCNC
processes | We perform a detailed analysis of the SO(10) SUSY GUT model with D3 family
symmetry of Dermisek and Raby (DR). The model is specified in terms of 24
parameters and predicts, as a function of them, the whole MSSM set of
parameters at low energy scales. Concerning the SM subset of such parameters,
the model is able to give a satisfactory description of the quark and lepton
masses, of the PMNS matrix and of the CKM matrix. We perform a global fit to
the model, including flavour changing neutral current (FCNC) processes Bs -->
mu+ mu-, B --> Xs gamma, B --> Xs l+ l- and the B(d,s) - bar B(d,s) mass
differences Delta M(d,s) as well as the flavour changing (FC) process B+ -->
tau+ nu. These observables provide at present the most sensitive probe of the
SUSY mass spectrum and couplings predicted by the model. Our analysis
demonstrates that the simultaneous description of the FC observables in
question represents a serious challenge for the DR model, unless the masses of
the scalars are moved to regions which are problematic from the point of view
of naturalness and probably beyond the reach of the LHC. We emphasize that this
problem could be a general feature of SUSY GUT models with third generation
Yukawa unification and weak-scale minimal flavour violation.
| hep-ph | we perform a detailed analysis of the so10 susy gut model with d3 family symmetry of dermisek and raby dr the model is specified in terms of 24 parameters and predicts as a function of them the whole mssm set of parameters at low energy scales concerning the sm subset of such parameters the model is able to give a satisfactory description of the quark and lepton masses of the pmns matrix and of the ckm matrix we perform a global fit to the model including flavour changing neutral current fcnc processes bs mu mu b xs gamma b xs l l and the bds bar bds mass differences delta mds as well as the flavour changing fc process b tau nu these observables provide at present the most sensitive probe of the susy mass spectrum and couplings predicted by the model our analysis demonstrates that the simultaneous description of the fc observables in question represents a serious challenge for the dr model unless the masses of the scalars are moved to regions which are problematic from the point of view of naturalness and probably beyond the reach of the lhc we emphasize that this problem could be a general feature of susy gut models with third generation yukawa unification and weakscale minimal flavour violation | [['we', 'perform', 'a', 'detailed', 'analysis', 'of', 'the', 'so10', 'susy', 'gut', 'model', 'with', 'd3', 'family', 'symmetry', 'of', 'dermisek', 'and', 'raby', 'dr', 'the', 'model', 'is', 'specified', 'in', 'terms', 'of', '24', 'parameters', 'and', 'predicts', 'as', 'a', 'function', 'of', 'them', 'the', 'whole', 'mssm', 'set', 'of', 'parameters', 'at', 'low', 'energy', 'scales', 'concerning', 'the', 'sm', 'subset', 'of', 'such', 'parameters', 'the', 'model', 'is', 'able', 'to', 'give', 'a', 'satisfactory', 'description', 'of', 'the', 'quark', 'and', 'lepton', 'masses', 'of', 'the', 'pmns', 'matrix', 'and', 'of', 'the', 'ckm', 'matrix', 'we', 'perform', 'a', 'global', 'fit', 'to', 'the', 'model', 'including', 'flavour', 'changing', 'neutral', 'current', 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'third', 'generation', 'yukawa', 'unification', 'and', 'weakscale', 'minimal', 'flavour', 'violation']] | [-0.09056852436191294, 0.16611536475721486, -0.01579101201211817, 0.12761121708876894, -0.0586203274652795, -0.1893310083661142, 0.11198210802882216, 0.277945644042433, -0.2385118782720637, -0.3217862947649041, 0.050736604798801765, -0.25745066821271945, -0.0465229524840969, 0.1007628321948158, 0.008828431674614981, 0.06670759039183775, 0.038232987124992665, 0.0003541092898664173, -0.07477171165045611, -0.1864267932375633, 0.2821293508893875, 0.046579189897449906, 0.19760368398369052, 0.06381086391115258, 0.0458623273336047, -0.03742117266235657, -0.06208825981850887, -0.07448229295916335, -0.126523983066287, 0.08436008390244963, 0.1904818575032804, 0.13928941273269904, 0.117416088785543, -0.34124082132827405, -0.16153828663599873, 0.15060468563853308, 0.12092580504195635, 0.0763751351388258, -0.018429685058072208, -0.2818834236584777, 0.10424841084885736, -0.18134181532456517, 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707.3955 | Quantum breathers in capacitively coupled Josephson junctions:
Correlations, number conservation, and entanglement | We consider the classical and quantum dynamics of excitations in a system of
two capacitively coupled Josephson junctions. In the classical case the
equations of motion admit discrete breather solutions, which are time periodic
and localized predominantly on one of the junctions. In the quantum case
breather states are found in the central part of the energy spectrum of the
confined nonescaping states of the system. We perform a systematic analysis of
their tunneling frequency, site correlations, fluctuations of the number of
quanta, and entanglement. Quantum breather states show strong site correlation
of quanta and are characterized by a strong excitation of quanta on one
junction which perform slow coherent tunneling motion from one junction to the
other. They suppress fluctuations of the total number of excited quanta.
Quantum breather states are the least entangled states among the group of
eigenstates in the same range of the energy spectrum. We describe how quantum
breather excitations could be experimentally observed by employing the already
developed techniques for quantum information processing using Josephson
junctions.
| cond-mat.mes-hall cond-mat.other | we consider the classical and quantum dynamics of excitations in a system of two capacitively coupled josephson junctions in the classical case the equations of motion admit discrete breather solutions which are time periodic and localized predominantly on one of the junctions in the quantum case breather states are found in the central part of the energy spectrum of the confined nonescaping states of the system we perform a systematic analysis of their tunneling frequency site correlations fluctuations of the number of quanta and entanglement quantum breather states show strong site correlation of quanta and are characterized by a strong excitation of quanta on one junction which perform slow coherent tunneling motion from one junction to the other they suppress fluctuations of the total number of excited quanta quantum breather states are the least entangled states among the group of eigenstates in the same range of the energy spectrum we describe how quantum breather excitations could be experimentally observed by employing the already developed techniques for quantum information processing using josephson junctions | [['we', 'consider', 'the', 'classical', 'and', 'quantum', 'dynamics', 'of', 'excitations', 'in', 'a', 'system', 'of', 'two', 'capacitively', 'coupled', 'josephson', 'junctions', 'in', 'the', 'classical', 'case', 'the', 'equations', 'of', 'motion', 'admit', 'discrete', 'breather', 'solutions', 'which', 'are', 'time', 'periodic', 'and', 'localized', 'predominantly', 'on', 'one', 'of', 'the', 'junctions', 'in', 'the', 'quantum', 'case', 'breather', 'states', 'are', 'found', 'in', 'the', 'central', 'part', 'of', 'the', 'energy', 'spectrum', 'of', 'the', 'confined', 'nonescaping', 'states', 'of', 'the', 'system', 'we', 'perform', 'a', 'systematic', 'analysis', 'of', 'their', 'tunneling', 'frequency', 'site', 'correlations', 'fluctuations', 'of', 'the', 'number', 'of', 'quanta', 'and', 'entanglement', 'quantum', 'breather', 'states', 'show', 'strong', 'site', 'correlation', 'of', 'quanta', 'and', 'are', 'characterized', 'by', 'a', 'strong', 'excitation', 'of', 'quanta', 'on', 'one', 'junction', 'which', 'perform', 'slow', 'coherent', 'tunneling', 'motion', 'from', 'one', 'junction', 'to', 'the', 'other', 'they', 'suppress', 'fluctuations', 'of', 'the', 'total', 'number', 'of', 'excited', 'quanta', 'quantum', 'breather', 'states', 'are', 'the', 'least', 'entangled', 'states', 'among', 'the', 'group', 'of', 'eigenstates', 'in', 'the', 'same', 'range', 'of', 'the', 'energy', 'spectrum', 'we', 'describe', 'how', 'quantum', 'breather', 'excitations', 'could', 'be', 'experimentally', 'observed', 'by', 'employing', 'the', 'already', 'developed', 'techniques', 'for', 'quantum', 'information', 'processing', 'using', 'josephson', 'junctions']] | [-0.23831160723903153, 0.2154693279447857, -0.06731710601922904, 0.07785212097494582, 0.028336099172985657, -0.16144180873159839, 0.03705704471821962, 0.31949438607904973, -0.24322012739342658, -0.2612483625971647, 0.014958186067646196, -0.3322743862206766, -0.08385090029332787, 0.2016055471816122, 0.04929442048007839, 0.058537259221423506, 0.06582143693027996, 0.043238417091129654, 0.015372340224255526, -0.1817372909836406, 0.31438420824489965, -0.0061731025086564206, 0.30644631573421405, 0.027475355593704207, 0.07092623475419227, -0.02184070565813589, 0.07039803855099477, -0.030202453003703552, -0.11049739661732104, 0.06879330929443186, 0.24274190140449506, -0.005973536281132066, 0.21593983141098952, -0.5051752330605374, -0.20579862825540002, 0.06610717148476736, 0.1826474903421111, 0.17541015442585312, -0.004879888332568022, -0.3373654481418821, 0.018861386157453145, -0.1358075440985822, -0.11657954910012006, -0.07241749417762337, 0.00994163027661311, 0.043023987681345015, -0.16825279308114807, 0.13102149965544774, 0.03710171008593576, 0.015788039798999943, -0.01946553363475602, -0.028312094886597722, -0.05989297604334519, 0.09803272053588528, 0.00235942930462337, -0.05749234251020108, 0.15480782620901198, -0.14581625889831082, -0.167299918900447, 0.3351847214494334, -0.059482126817551204, -0.17620035323725883, 0.1654463767583027, -0.15435222237029783, -0.08187955035625004, 0.15218740231276295, 0.1186093021147657, 0.13156652772463426, -0.11039694602266875, 0.06686869256474554, 0.014716262663822881, 0.1764232364461519, 0.08769054556953136, 0.14250926527757804, 0.26033713519681506, 0.11434423242327432, 0.04968032067869032, 0.1651276975953383, -0.11894383314025025, -0.15513080594855425, -0.30297102534948567, -0.14747580166616434, -0.22073119756803566, 0.08416190111351762, -0.0153101386287829, -0.1826041481176088, 0.46456541686297154, 0.10708183489488113, 0.1466168810147792, -0.04001145834796304, 0.23005516893977604, 0.18241232694776424, 0.04743103569692954, 0.03389084188614127, 0.2510899002981903, 0.1780795509139141, 0.08398869490185969, -0.3058078620714125, -0.039528356307337795, 0.021728731943619285] |
707.3956 | On the regularity of geodesic rays associated to test configurations | Geodesic rays of class C^{1,1} are constructed for any test configuration of
a positive line bundle L on X using resolution of singularities. The
construction reduces to finding a subsolution of the corresponding Monge-Ampere
equation. Geometrically, this is accomplished by the use a positive line bundle
on the resolution which is trivial outside of the exceptional divisor.
| math.DG math.CV | geodesic rays of class c11 are constructed for any test configuration of a positive line bundle l on x using resolution of singularities the construction reduces to finding a subsolution of the corresponding mongeampere equation geometrically this is accomplished by the use a positive line bundle on the resolution which is trivial outside of the exceptional divisor | [['geodesic', 'rays', 'of', 'class', 'c11', 'are', 'constructed', 'for', 'any', 'test', 'configuration', 'of', 'a', 'positive', 'line', 'bundle', 'l', 'on', 'x', 'using', 'resolution', 'of', 'singularities', 'the', 'construction', 'reduces', 'to', 'finding', 'a', 'subsolution', 'of', 'the', 'corresponding', 'mongeampere', 'equation', 'geometrically', 'this', 'is', 'accomplished', 'by', 'the', 'use', 'a', 'positive', 'line', 'bundle', 'on', 'the', 'resolution', 'which', 'is', 'trivial', 'outside', 'of', 'the', 'exceptional', 'divisor']] | [-0.2130967133204665, -0.002797584059615538, -0.048375126301196586, 0.03714500295137169, -0.14679794888453265, -0.15546518498051323, 0.027531017496234232, 0.35021802488910525, -0.2566946314304675, -0.20406113623788483, 0.10867501855337698, -0.2591389416994756, -0.06070406006224323, 0.2075862995299854, -0.07344958076678347, 0.021618896727695278, 0.08844522864704854, 0.0663058136900266, -0.12094477240584399, -0.20600725205312892, 0.4524994751340465, 0.018519506234218153, 0.2290484867826627, 0.049567977816127894, 0.16856292437500597, -0.04167462062711517, -0.003221098235563228, 0.019669697840551014, -0.131094535951617, 0.14840201265587097, 0.24349704042910353, 0.10209666743155635, 0.2099758173551476, -0.3045026732510642, -0.20663613709161596, 0.16426364548112216, 0.12472682053288608, -0.017530107962604808, 0.014465208667771597, -0.26135572098326265, 0.12125321362461698, -0.059203236020709336, -0.24627544702308482, -0.020124435816940508, 0.026576686029632885, 0.014533884986712221, -0.20705565632108533, -0.01517875618383027, 0.092743563580147, 0.10663641609758008, -0.03860341055776205, -0.06221631737916093, -0.0711869390665047, 0.02751470367799987, 0.011884549722532955, 0.08237981895524028, 0.1025374636070378, -0.07316065064566046, -0.07057833990180179, 0.3727491259117398, -0.07783652597776893, -0.2855568948414242, 0.11438302612422328, -0.13910441304426313, -0.08685397038546701, 0.2531439154817347, 0.0985840093262755, 0.21630546497998007, -0.05618977937193816, 0.20180512413284496, -0.09076137757418971, 0.10267770278222631, 0.12529521861129947, -0.08822772028169741, 0.17681592871769936, 0.12573206980034643, 0.12552838185965493, 0.08477475193508885, -0.07225774391145821, -0.053597853943836274, -0.4018160795564191, -0.22981391677667648, -0.19437476313721977, 0.1941003601246497, -0.08972000112561018, -0.21411445877400406, 0.3677095141457884, 0.027001288114932544, 0.24726493739964148, 0.08971834259468699, 0.22346159208794697, 0.09205395716912392, 0.04453162388189843, 0.03602648513358936, 0.1752556501642654, 0.15584241147888334, 0.04455006944440436, -0.20155168162238082, -0.008765933291757838, 0.1689951560345658] |
707.3957 | Stretched-exponential decay functions from a self-consistent model of
dielectric relaxation | There are many materials whose dielectric properties are described by a
stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation
function. Its physical origin and statistical-mechanical foundation have been a
matter of debate in the literature. In this paper we suggest a model of
dielectric relaxation, which naturally leads to a stretched exponential decay
function. Some essential characteristics of the underlying charge conduction
mechanisms are considered. A kinetic description of the relaxation and charge
transport processes is proposed in terms of equations with time-fractional
derivatives.
| cond-mat.mtrl-sci cond-mat.stat-mech | there are many materials whose dielectric properties are described by a stretched exponential the socalled kohlrauschwilliamswatts kww relaxation function its physical origin and statisticalmechanical foundation have been a matter of debate in the literature in this paper we suggest a model of dielectric relaxation which naturally leads to a stretched exponential decay function some essential characteristics of the underlying charge conduction mechanisms are considered a kinetic description of the relaxation and charge transport processes is proposed in terms of equations with timefractional derivatives | [['there', 'are', 'many', 'materials', 'whose', 'dielectric', 'properties', 'are', 'described', 'by', 'a', 'stretched', 'exponential', 'the', 'socalled', 'kohlrauschwilliamswatts', 'kww', 'relaxation', 'function', 'its', 'physical', 'origin', 'and', 'statisticalmechanical', 'foundation', 'have', 'been', 'a', 'matter', 'of', 'debate', 'in', 'the', 'literature', 'in', 'this', 'paper', 'we', 'suggest', 'a', 'model', 'of', 'dielectric', 'relaxation', 'which', 'naturally', 'leads', 'to', 'a', 'stretched', 'exponential', 'decay', 'function', 'some', 'essential', 'characteristics', 'of', 'the', 'underlying', 'charge', 'conduction', 'mechanisms', 'are', 'considered', 'a', 'kinetic', 'description', 'of', 'the', 'relaxation', 'and', 'charge', 'transport', 'processes', 'is', 'proposed', 'in', 'terms', 'of', 'equations', 'with', 'timefractional', 'derivatives']] | [-0.13086752908820487, 0.14424101529216551, -0.12288930278316319, 0.0811163988862052, -0.0699274543313736, -0.11558029264301421, -0.02822340225537184, 0.3455963001378913, -0.2989790921705405, -0.24326883945389685, 0.06116699826684836, -0.2606088009225317, -0.17965072756969785, 0.1608339920836355, 0.031947004207667995, 0.09499518742647403, -0.07029361624539976, -0.026231880019228142, -0.08216909076233046, -0.18207484223397383, 0.24705843993249427, 0.03439000443028039, 0.26861436716954123, 0.09490933106000345, 0.08218818043459611, -0.05109290312975645, 0.011389346131269473, 0.011901859508221408, -0.17276555520685036, 0.08321880921721458, 0.22727054000708713, 0.026326262260259813, 0.2744901781811951, -0.4758963524083416, -0.2659948633055214, 0.057969997087156916, 0.14651067739532117, 0.06105584365523319, -0.07747398790376014, -0.19220643496163278, 0.009774926995875382, -0.14548772969002643, -0.15076562020007567, -0.080819645167205, 0.02989502682025174, 0.07362983621522246, -0.24186939200251756, 0.1468661079991115, 0.10947760202114033, 0.0007616527019494988, -0.1271081782235057, -0.13484642946396966, 0.016883518513157426, 0.030299623188259732, 0.12527200966057964, 0.0014721715643283833, 0.1624565190153129, -0.12380239097906434, -0.12598759419542838, 0.37384488810616806, -0.033537431897775055, -0.22246199660003185, 0.17866130291585283, -0.15340512465960515, -0.07768786489312728, 0.1662385113739285, 0.12734684368303742, 0.11536380990845971, -0.24520154021321292, 0.13134552129827992, -0.019398334708221884, 0.10969168405575924, 0.0452457222251603, 0.10682341907487576, 0.22064002294160695, 0.20668551636612917, -0.022206530920987254, 0.13867566124704409, 0.012730366718697261, -0.16317157746932234, -0.3076219260243766, -0.16353946634153105, -0.18603408521781845, 0.09880877694631197, -0.07429209658953204, -0.2190198861286942, 0.4324103771282517, 0.05478994226285133, 0.19947845435067338, 0.02374672278318644, 0.23317360846572613, 0.1618968261607799, 0.05799542100965438, 0.06345815409352885, 0.2197502187964456, 0.1819983459756631, 0.1198226698977222, -0.25406412562882774, 0.14068059824092918, 0.06364384067458022] |
707.3958 | Control parameters in turbulence, Self Organized Criticality and
ecosystems | From the starting point of the well known Reynolds number of fluid turbulence
we propose a control parameter $R$ for a wider class of systems including
avalanche models that show Self Organized Criticality (SOC) and ecosystems. $R$
is related to the driving and dissipation rates and from similarity analysis we
obtain a relationship $R\sim N^{\beta_N}$ where $N$ is the number of degrees of
freedom. The value of the exponent $\beta_N$ is determined by detailed
phenomenology but its sign follows from our similarity analysis. For SOC,
$R=h/\epsilon$ and we show that $\beta_N<0$ hence we show independent of the
details that the transition to SOC is when $R \to 0$, in contrast to fluid
turbulence, formalizing the relationship between turbulence (since $\beta_N
>0$, $R \to \infty$) and SOC ($R=h/\epsilon\to 0$). A corollary is that SOC
phenomenology, that is, power law scaling of avalanches, can persist for finite
$R$ with unchanged exponent if the system supports a sufficiently large range
of lengthscales; necessary for SOC to be a candidate for physical systems. We
propose a conceptual model ecosystem where $R$ is an observable parameter which
depends on the rate of throughput of biomass or energy; we show this has
$\beta_N>0$, so that increasing $R$ increases the abundance of species,
pointing to a critical value for species 'explosion'.
| physics.bio-ph physics.gen-ph | from the starting point of the well known reynolds number of fluid turbulence we propose a control parameter r for a wider class of systems including avalanche models that show self organized criticality soc and ecosystems r is related to the driving and dissipation rates and from similarity analysis we obtain a relationship rsim nbeta_n where n is the number of degrees of freedom the value of the exponent beta_n is determined by detailed phenomenology but its sign follows from our similarity analysis for soc rhepsilon and we show that beta_n0 hence we show independent of the details that the transition to soc is when r to 0 in contrast to fluid turbulence formalizing the relationship between turbulence since beta_n 0 r to infty and soc rhepsilonto 0 a corollary is that soc phenomenology that is power law scaling of avalanches can persist for finite r with unchanged exponent if the system supports a sufficiently large range of lengthscales necessary for soc to be a candidate for physical systems we propose a conceptual model ecosystem where r is an observable parameter which depends on the rate of throughput of biomass or energy we show this has beta_n0 so that increasing r increases the abundance of species pointing to a critical value for species explosion | [['from', 'the', 'starting', 'point', 'of', 'the', 'well', 'known', 'reynolds', 'number', 'of', 'fluid', 'turbulence', 'we', 'propose', 'a', 'control', 'parameter', 'r', 'for', 'a', 'wider', 'class', 'of', 'systems', 'including', 'avalanche', 'models', 'that', 'show', 'self', 'organized', 'criticality', 'soc', 'and', 'ecosystems', 'r', 'is', 'related', 'to', 'the', 'driving', 'and', 'dissipation', 'rates', 'and', 'from', 'similarity', 'analysis', 'we', 'obtain', 'a', 'relationship', 'rsim', 'nbeta_n', 'where', 'n', 'is', 'the', 'number', 'of', 'degrees', 'of', 'freedom', 'the', 'value', 'of', 'the', 'exponent', 'beta_n', 'is', 'determined', 'by', 'detailed', 'phenomenology', 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707.3959 | Four-Group Decodable Space-Time Block Codes | Two new rate-one full-diversity space-time block codes (STBC) are proposed.
They are characterized by the \emph{lowest decoding complexity} among the known
rate-one STBC, arising due to the complete separability of the transmitted
symbols into four groups for maximum likelihood detection. The first and the
second codes are delay-optimal if the number of transmit antennas is a power of
2 and even, respectively. The exact pair-wise error probability is derived to
allow for the performance optimization of the two codes. Compared with existing
low-decoding complexity STBC, the two new codes offer several advantages such
as higher code rate, lower encoding/decoding delay and complexity, lower
peak-to-average power ratio, and better performance.
| cs.IT math.IT | two new rateone fulldiversity spacetime block codes stbc are proposed they are characterized by the emphlowest decoding complexity among the known rateone stbc arising due to the complete separability of the transmitted symbols into four groups for maximum likelihood detection the first and the second codes are delayoptimal if the number of transmit antennas is a power of 2 and even respectively the exact pairwise error probability is derived to allow for the performance optimization of the two codes compared with existing lowdecoding complexity stbc the two new codes offer several advantages such as higher code rate lower encodingdecoding delay and complexity lower peaktoaverage power ratio and better performance | [['two', 'new', 'rateone', 'fulldiversity', 'spacetime', 'block', 'codes', 'stbc', 'are', 'proposed', 'they', 'are', 'characterized', 'by', 'the', 'emphlowest', 'decoding', 'complexity', 'among', 'the', 'known', 'rateone', 'stbc', 'arising', 'due', 'to', 'the', 'complete', 'separability', 'of', 'the', 'transmitted', 'symbols', 'into', 'four', 'groups', 'for', 'maximum', 'likelihood', 'detection', 'the', 'first', 'and', 'the', 'second', 'codes', 'are', 'delayoptimal', 'if', 'the', 'number', 'of', 'transmit', 'antennas', 'is', 'a', 'power', 'of', '2', 'and', 'even', 'respectively', 'the', 'exact', 'pairwise', 'error', 'probability', 'is', 'derived', 'to', 'allow', 'for', 'the', 'performance', 'optimization', 'of', 'the', 'two', 'codes', 'compared', 'with', 'existing', 'lowdecoding', 'complexity', 'stbc', 'the', 'two', 'new', 'codes', 'offer', 'several', 'advantages', 'such', 'as', 'higher', 'code', 'rate', 'lower', 'encodingdecoding', 'delay', 'and', 'complexity', 'lower', 'peaktoaverage', 'power', 'ratio', 'and', 'better', 'performance']] | [-0.22799224579254182, 0.02389772083810487, 0.014952096487526025, 0.08588041112949706, -0.033843349867770184, -0.2718336311621574, 0.03982387469846442, 0.3586159056992592, -0.2581386710778227, -0.31526864921482645, 0.14040891894478805, -0.2456738586215494, -0.15011108828116662, 0.21019306081721437, -0.11721817416217283, 0.11726424630696529, 0.01721139910421987, 0.06137788726373741, -0.14582979296025098, -0.38003923231735826, 0.258734964817832, 0.18047007965359174, 0.33074570591692054, -0.036063286293054296, 0.08080693987246046, -0.04902842653932694, -0.0271605052288935, -0.009954562448248024, -0.10285365540059893, 0.09472366479425648, 0.2959264797532809, 0.2733664693067146, 0.2156589061839024, -0.3570852534427682, -0.2320951233382955, 0.08261751142552419, 0.15846058642644018, 0.10543707830757425, -0.04581704072514984, -0.2105846966997063, 0.14489159888422518, -0.2198586998394229, 0.038056984974645845, 0.010498762008882015, -0.0574366606415084, 0.044201247745506884, -0.31255060800777695, 0.019474218719177573, 0.04297285716736985, 0.01825740563500429, -0.012811454831161232, -0.21526072494398418, 0.021981874733258074, 0.1629189830926186, 0.014696588996519273, -0.04422977772567456, 0.01226043108432928, -0.038383902886133886, -0.1404511512421004, 0.3657753823812459, 0.002300047450840351, -0.24554368700379522, 0.1549231634131485, -0.0923002021970384, -0.07832566594757209, 0.24226275848433654, 0.24741962698296965, 0.06526965967806003, -0.09771832828975727, 0.029293968905825342, 0.01886366198065682, 0.20315055144411104, 0.1283468970828733, 0.17999396792604266, 0.11380582696444869, 0.11566053633360524, 0.10052488503159485, 0.16263257669041228, -0.09416713773612385, -0.05618387031168721, -0.2323873385843586, -0.14510089441781393, -0.20314486785987654, -0.00027953433830325846, -0.1811433628840137, -0.07977154891650741, 0.3893035202870302, 0.09425473456362385, 0.1027790816156977, 0.2114706712853268, 0.36244224664694236, 0.06988641668424428, 0.0719008236496805, 0.17967988904478532, 0.19695296477979032, 0.1621274628663418, -0.00018676820376487536, -0.22116155153228553, 0.04149244697416358, 0.09401196519905161] |
707.396 | P-V-T equation of state of epsilon iron and its densities at core
conditions | The author's new p-V-T Equation of State is tested against the available
experiments of epsilon iron. The root-mean-square-deviations (RMSD) of the
molar volume, pressure, and temperature are 0.021 cm3, 2.0 GPa and 144.9 K
respectively. Separating the experiments into 200 K ranges the new EoS was
compared to the most widely used finite strain, interatomic potential, and
empirical isothermal EoSs such as the Burch-Murnaghan, the Vinet, and the
Roy-Roy respectively. Correlation coefficients, RMSDs of the residuals and
Akaike Information Criteria were used for evaluating the fittings. Based on
these fitting parameters the new p-V-T EoS is equal or better than the
conventional isothermal EoSs. The newly defined parameters were used to
calculate the density of the inner core. The calculated densities are
significantly lower than the current consensus indicating that it might be too
early excluding the possibility of a pure iron-nickel core with no light
elements.
| physics.gen-ph | the authors new pvt equation of state is tested against the available experiments of epsilon iron the rootmeansquaredeviations rmsd of the molar volume pressure and temperature are 0021 cm3 20 gpa and 1449 k respectively separating the experiments into 200 k ranges the new eos was compared to the most widely used finite strain interatomic potential and empirical isothermal eoss such as the burchmurnaghan the vinet and the royroy respectively correlation coefficients rmsds of the residuals and akaike information criteria were used for evaluating the fittings based on these fitting parameters the new pvt eos is equal or better than the conventional isothermal eoss the newly defined parameters were used to calculate the density of the inner core the calculated densities are significantly lower than the current consensus indicating that it might be too early excluding the possibility of a pure ironnickel core with no light elements | [['the', 'authors', 'new', 'pvt', 'equation', 'of', 'state', 'is', 'tested', 'against', 'the', 'available', 'experiments', 'of', 'epsilon', 'iron', 'the', 'rootmeansquaredeviations', 'rmsd', 'of', 'the', 'molar', 'volume', 'pressure', 'and', 'temperature', 'are', '0021', 'cm3', '20', 'gpa', 'and', '1449', 'k', 'respectively', 'separating', 'the', 'experiments', 'into', '200', 'k', 'ranges', 'the', 'new', 'eos', 'was', 'compared', 'to', 'the', 'most', 'widely', 'used', 'finite', 'strain', 'interatomic', 'potential', 'and', 'empirical', 'isothermal', 'eoss', 'such', 'as', 'the', 'burchmurnaghan', 'the', 'vinet', 'and', 'the', 'royroy', 'respectively', 'correlation', 'coefficients', 'rmsds', 'of', 'the', 'residuals', 'and', 'akaike', 'information', 'criteria', 'were', 'used', 'for', 'evaluating', 'the', 'fittings', 'based', 'on', 'these', 'fitting', 'parameters', 'the', 'new', 'pvt', 'eos', 'is', 'equal', 'or', 'better', 'than', 'the', 'conventional', 'isothermal', 'eoss', 'the', 'newly', 'defined', 'parameters', 'were', 'used', 'to', 'calculate', 'the', 'density', 'of', 'the', 'inner', 'core', 'the', 'calculated', 'densities', 'are', 'significantly', 'lower', 'than', 'the', 'current', 'consensus', 'indicating', 'that', 'it', 'might', 'be', 'too', 'early', 'excluding', 'the', 'possibility', 'of', 'a', 'pure', 'ironnickel', 'core', 'with', 'no', 'light', 'elements']] | [-0.052420866614233494, 0.13980068062503254, -0.08748507648447736, 0.06574865262599713, -0.04125017075178524, -0.1207778734226142, 0.07241820540447305, 0.3428762296680361, -0.18559846627774984, -0.3457452698364957, 0.10164254132218452, -0.32257003754946506, -0.005087160371153409, 0.20088808800048558, 0.04924318619628644, 0.08050119438444704, 0.013020163659853602, 0.03392938202563932, -0.1398588070797915, -0.2491387915700519, 0.2640853120731966, 0.049676698634963636, 0.2807490165384176, 0.04607442366917288, 0.03681001058430411, -0.08066027065635556, -0.00456857611425221, 0.04327127413125709, -0.20026084902469343, 0.061926033839376435, 0.2266746889670483, 0.08543819351082978, 0.17837150267506433, -0.38132788868905565, -0.2451252435049456, 0.09051002745076807, 0.06806836636840469, 0.040093362833431456, -7.374240360352107e-05, -0.24725870176916942, 0.09938228452422966, -0.1815125918882485, -0.10804130327596795, -0.06531764001839394, 0.02368486379337911, 0.04576676008340049, -0.2610837431210611, 0.1527640469592168, -0.012779640281223692, 0.054227432109958805, -0.1251136392610432, -0.2971861086035561, -0.060492497853475574, 0.05380835279841752, 0.0025009811878488916, 0.03258012513187067, 0.17953526466670963, -0.0805929558927245, -0.03080527452604858, 0.40099975558566964, -0.08167722801449094, -0.09359343898111344, 0.1866490390142038, -0.09940752914796273, -0.05502831485096572, 0.15921095686563705, 0.11308440553127891, 0.09931807091925293, -0.1481742159359985, -8.574802915164683e-05, 0.021150456713965267, 0.23085027944600572, 0.08898555221902724, -0.0412507960516248, 0.18183089171846709, 0.14832764271866633, -0.013170864892243925, 0.08968851405047139, -0.15095008095926865, -0.08431394222700167, -0.25036483730764303, -0.13734870842502764, -0.16002968607709692, -0.004078087660471081, -0.15676269947319574, -0.12854392691386035, 0.3354198492727139, 0.13954374608066347, 0.1602158488466456, 0.002392106417876979, 0.2786225420972591, 0.11645824265391032, 0.0820195289066103, 0.11539323575723553, 0.28410353109939024, 0.17659756050367528, 0.06777022803241077, -0.21991081998243722, 0.12537447900588936, 0.004251703482522216] |
707.3961 | Atomistic Simulations of the Mechanical Properties of 'Super' Carbon
Nanotubes | The mechanical properties of the so-called `super' carbon nanotubes (STs) are
investigated using classical molecular dynamics simulations. The STs are built
from single walled carbon nanotubes (SWCNTs) connected by Y-like junctions
forming an ordered carbon nanotube network that is then rolled into a seamless
cylinder. We observed that the ST behavior under tensile tests is similar to
the one presented by fishing nets. This interesting behavior provides a way to
vary the accessible channels to the inner parts of STs by applying external
mechanical load. The Young's modulus is dependent on the ST chirality and it
inversely varies with the ST radius. Smaller reduction of breaking strain
values due to temperature increase is predicted for zigzag STs compared to
SWCNTs. The results show that, for STs with radius ~ 5 nm, the junctions
between the constituent SWCNTs play an important role on the fracture process.
The Young's modulus and tensile strength were estimated for hierarchical
higher-order STs using scaling laws related to the ST fractal dimension. The
obtained mechanical properties suggest that STs may be used in the development
of new porous, flexible, and high-strength materials.
| cond-mat.mtrl-sci | the mechanical properties of the socalled super carbon nanotubes sts are investigated using classical molecular dynamics simulations the sts are built from single walled carbon nanotubes swcnts connected by ylike junctions forming an ordered carbon nanotube network that is then rolled into a seamless cylinder we observed that the st behavior under tensile tests is similar to the one presented by fishing nets this interesting behavior provides a way to vary the accessible channels to the inner parts of sts by applying external mechanical load the youngs modulus is dependent on the st chirality and it inversely varies with the st radius smaller reduction of breaking strain values due to temperature increase is predicted for zigzag sts compared to swcnts the results show that for sts with radius 5 nm the junctions between the constituent swcnts play an important role on the fracture process the youngs modulus and tensile strength were estimated for hierarchical higherorder sts using scaling laws related to the st fractal dimension the obtained mechanical properties suggest that sts may be used in the development of new porous flexible and highstrength materials | [['the', 'mechanical', 'properties', 'of', 'the', 'socalled', 'super', 'carbon', 'nanotubes', 'sts', 'are', 'investigated', 'using', 'classical', 'molecular', 'dynamics', 'simulations', 'the', 'sts', 'are', 'built', 'from', 'single', 'walled', 'carbon', 'nanotubes', 'swcnts', 'connected', 'by', 'ylike', 'junctions', 'forming', 'an', 'ordered', 'carbon', 'nanotube', 'network', 'that', 'is', 'then', 'rolled', 'into', 'a', 'seamless', 'cylinder', 'we', 'observed', 'that', 'the', 'st', 'behavior', 'under', 'tensile', 'tests', 'is', 'similar', 'to', 'the', 'one', 'presented', 'by', 'fishing', 'nets', 'this', 'interesting', 'behavior', 'provides', 'a', 'way', 'to', 'vary', 'the', 'accessible', 'channels', 'to', 'the', 'inner', 'parts', 'of', 'sts', 'by', 'applying', 'external', 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707.3962 | Coherent Bayesian analysis of inspiral signals | We present in this paper a Bayesian parameter estimation method for the
analysis of interferometric gravitational wave observations of an inspiral of
binary compact objects using data recorded simultaneously by a network of
several interferometers at different sites. We consider neutron star or black
hole inspirals that are modeled to 3.5 post-Newtonian (PN) order in phase and
2.5 PN in amplitude. Inference is facilitated using Markov chain Monte Carlo
methods that are adapted in order to efficiently explore the particular
parameter space. Examples are shown to illustrate how and what information
about the different parameters can be derived from the data. This study uses
simulated signals and data with noise characteristics that are assumed to be
defined by the LIGO and Virgo detectors operating at their design
sensitivities. Nine parameters are estimated, including those associated with
the binary system, plus its location on the sky. We explain how this technique
will be part of a detection pipeline for binary systems of compact objects with
masses up to $20 \sunmass$, including cases where the ratio of the individual
masses can be extreme.
| gr-qc | we present in this paper a bayesian parameter estimation method for the analysis of interferometric gravitational wave observations of an inspiral of binary compact objects using data recorded simultaneously by a network of several interferometers at different sites we consider neutron star or black hole inspirals that are modeled to 35 postnewtonian pn order in phase and 25 pn in amplitude inference is facilitated using markov chain monte carlo methods that are adapted in order to efficiently explore the particular parameter space examples are shown to illustrate how and what information about the different parameters can be derived from the data this study uses simulated signals and data with noise characteristics that are assumed to be defined by the ligo and virgo detectors operating at their design sensitivities nine parameters are estimated including those associated with the binary system plus its location on the sky we explain how this technique will be part of a detection pipeline for binary systems of compact objects with masses up to 20 sunmass including cases where the ratio of the individual masses can be extreme | [['we', 'present', 'in', 'this', 'paper', 'a', 'bayesian', 'parameter', 'estimation', 'method', 'for', 'the', 'analysis', 'of', 'interferometric', 'gravitational', 'wave', 'observations', 'of', 'an', 'inspiral', 'of', 'binary', 'compact', 'objects', 'using', 'data', 'recorded', 'simultaneously', 'by', 'a', 'network', 'of', 'several', 'interferometers', 'at', 'different', 'sites', 'we', 'consider', 'neutron', 'star', 'or', 'black', 'hole', 'inspirals', 'that', 'are', 'modeled', 'to', '35', 'postnewtonian', 'pn', 'order', 'in', 'phase', 'and', '25', 'pn', 'in', 'amplitude', 'inference', 'is', 'facilitated', 'using', 'markov', 'chain', 'monte', 'carlo', 'methods', 'that', 'are', 'adapted', 'in', 'order', 'to', 'efficiently', 'explore', 'the', 'particular', 'parameter', 'space', 'examples', 'are', 'shown', 'to', 'illustrate', 'how', 'and', 'what', 'information', 'about', 'the', 'different', 'parameters', 'can', 'be', 'derived', 'from', 'the', 'data', 'this', 'study', 'uses', 'simulated', 'signals', 'and', 'data', 'with', 'noise', 'characteristics', 'that', 'are', 'assumed', 'to', 'be', 'defined', 'by', 'the', 'ligo', 'and', 'virgo', 'detectors', 'operating', 'at', 'their', 'design', 'sensitivities', 'nine', 'parameters', 'are', 'estimated', 'including', 'those', 'associated', 'with', 'the', 'binary', 'system', 'plus', 'its', 'location', 'on', 'the', 'sky', 'we', 'explain', 'how', 'this', 'technique', 'will', 'be', 'part', 'of', 'a', 'detection', 'pipeline', 'for', 'binary', 'systems', 'of', 'compact', 'objects', 'with', 'masses', 'up', 'to', '20', 'sunmass', 'including', 'cases', 'where', 'the', 'ratio', 'of', 'the', 'individual', 'masses', 'can', 'be', 'extreme']] | [-0.10428495702346684, 0.10535985719640545, -0.056354475161060694, 0.08171134918682381, -0.07056932278339648, -0.08564990935847164, 0.02003821314428933, 0.3987364840486811, -0.21881369299565753, -0.368816473800689, 0.1452346446768691, -0.2826021845866409, -0.12181398814621693, 0.24548578595406273, -0.02348570299283084, 0.04143345292896912, 0.09541678694206186, 0.013865605414482868, -0.10065575385492088, -0.2351605123510429, 0.3368050953269833, 0.0799232420201103, 0.17189886530007545, -0.07772832271487763, 0.09555506228870299, -0.0156864639177608, -0.04890943470980144, 0.0018697167487112488, -0.12728418778145473, 0.07318351798385266, 0.29628443440888075, 0.16476788194332687, 0.19260742123135263, -0.3995757149221996, -0.21326413528165883, 0.09729554369890442, 0.12542705941531393, 0.10022165183909237, -0.015655018845185015, -0.3225607115380828, 0.09020698931029376, -0.22125805191074807, -0.11815669228219323, -0.0518167069932032, -0.002363882586359978, 0.06930221107193373, -0.2721247003258516, 0.047871533922281946, 0.004290078139294767, -0.009432288825822373, -0.05113298242924631, -0.10612831941948066, -0.0016097301875965463, 0.11169531488558278, 0.01596477125874824, 0.032031425446297765, 0.14830083488745407, -0.09229309902552309, -0.12362026630887865, 0.3592121090274304, -0.05705096154706553, -0.17606616507594783, 0.19388552078615046, -0.17317528904726107, -0.15111859505220007, 0.1487986501176945, 0.23012091492613157, 0.142764128304811, -0.20119816091222067, 0.029176618804275575, 0.06322815884430182, 0.19614396147016022, 0.06247615592890522, 0.02857498702036941, 0.27200797646720376, 0.17777618306249174, 0.007104611204704269, 0.13580984866518217, -0.1992372401566374, -0.05660186758161419, -0.251012224950763, -0.08305726254103421, -0.17842774288276106, 0.015311109869233203, -0.1196481846399062, -0.09765439052183258, 0.34827925857001296, 0.1878881602190783, 0.19199820491614647, 0.031204220007768728, 0.3007543699634779, 0.10108184702759092, 0.05665215779121758, 0.04319748173519555, 0.2816716510285106, 0.10528818726694832, 0.06086266099527064, -0.17395146880169501, 0.05072011761626022, 0.0029668440175656644] |
707.3963 | On the quantization of conjugacy classes | Let G be a compact, simple, simply connected Lie group. A theorem of
Freed-Hopkins-Teleman identifies the level k fusion ring R_k(G) of G with the
twisted equivariant K-homology at level k+h, where h is the dual Coxeter
number. In this paper, we review this result using the language of
Dixmier-Douady bundles. We show that the additive generators of the group
R_k(G) are obtained as K-homology push-forwards of the fundamental classes of
conjugacy classes in G.
| math.DG | let g be a compact simple simply connected lie group a theorem of freedhopkinsteleman identifies the level k fusion ring r_kg of g with the twisted equivariant khomology at level kh where h is the dual coxeter number in this paper we review this result using the language of dixmierdouady bundles we show that the additive generators of the group r_kg are obtained as khomology pushforwards of the fundamental classes of conjugacy classes in g | [['let', 'g', 'be', 'a', 'compact', 'simple', 'simply', 'connected', 'lie', 'group', 'a', 'theorem', 'of', 'freedhopkinsteleman', 'identifies', 'the', 'level', 'k', 'fusion', 'ring', 'r_kg', 'of', 'g', 'with', 'the', 'twisted', 'equivariant', 'khomology', 'at', 'level', 'kh', 'where', 'h', 'is', 'the', 'dual', 'coxeter', 'number', 'in', 'this', 'paper', 'we', 'review', 'this', 'result', 'using', 'the', 'language', 'of', 'dixmierdouady', 'bundles', 'we', 'show', 'that', 'the', 'additive', 'generators', 'of', 'the', 'group', 'r_kg', 'are', 'obtained', 'as', 'khomology', 'pushforwards', 'of', 'the', 'fundamental', 'classes', 'of', 'conjugacy', 'classes', 'in', 'g']] | [-0.22617244884371757, 0.11394360245127852, -0.06414444021259745, -0.001794170819533368, -0.11503919629380106, -0.11280921937276919, 0.00967420339739571, 0.36984705716371535, -0.34604063381751377, -0.23476555803169807, 0.05268370295253893, -0.1831718383356929, -0.14129166834056378, 0.201014789827168, -0.18493230524162452, -0.0914298323666056, 0.09043645555774371, 0.15908114343881607, -0.06314948270407816, -0.2462379280272095, 0.41254250848044954, -0.041793609019368884, 0.21023372282584507, 0.020077328147987523, 0.07050692301864425, 0.000664148743574818, -0.0294852917889754, 0.014604857095206777, -0.13824314023416567, 0.15887959549824396, 0.35603488370465736, 0.033237376870432246, 0.19767521008849143, -0.32086432263876, -0.12493278956816842, 0.18645616587872307, 0.07805102552597722, -0.0475341506054004, -0.0023383760328094163, -0.27808260925114153, 0.15519077771808953, -0.21317289685209592, -0.11947269920880596, -0.013315589192012946, 0.0889078030983607, 0.001346315691868464, -0.237586411794958, -0.025488990447483956, 0.10191857477029165, 0.135684268673261, 0.0014625129848718644, -0.09386183161909381, -0.09756856298695007, 0.11076959165123602, -0.03789479016326368, 0.05396229180429752, 0.1422844987362623, -0.0807953579723835, -0.1520767013542354, 0.41975258839006224, -0.1021532278507948, -0.16176273760696253, 0.11656710003502667, -0.17063772309571504, -0.24078489227220415, 0.12027066619445881, 0.07446239840239287, 0.1752128568291664, 0.0013311628748973211, 0.2111624719016254, -0.19003438244884213, 0.047037289272993804, 0.05517911305418238, -0.019654373123000064, 0.14183372269695005, 0.11164279910114905, 0.03806008278741501, 0.14446530722547324, 0.04569713232417901, 0.08534021178260445, -0.40485225021839144, -0.19896132413297893, -0.11346188583411276, 0.1576876765737931, -0.11281927580634753, -0.15756868763826787, 0.4407639188071092, 0.06620927965889374, 0.1789957270771265, 0.13012967510769766, 0.197723591675361, 0.09354919097696741, 0.06751293601468206, 0.09238303477565447, 0.07622094844778379, 0.2800197699914376, -0.12040763405462106, -0.16333363255485892, -0.0897041496137778, 0.28138850967710216] |
707.3964 | Universality in quantum chaos and the one parameter scaling theory | We adapt the one parameter scaling theory (OPT) to the context of quantum
chaos. As a result we propose a more precise characterization of the
universality classes associated to Wigner-Dyson and Poisson statistics which
takes into account Anderson localization effects. Based also on the OPT we
predict a new universality class in quantum chaos related to the
metal-insulator transition and provide several examples. In low dimensions it
is characterized by classical superdiffusion or a fractal spectrum, in higher
dimensions it can also have a purely quantum origin as in the case of
disordered systems. Our findings open the possibility of studying the metal
insulator transition experimentally in a much broader type of systems.
| cond-mat.dis-nn cond-mat.mes-hall nlin.CD quant-ph | we adapt the one parameter scaling theory opt to the context of quantum chaos as a result we propose a more precise characterization of the universality classes associated to wignerdyson and poisson statistics which takes into account anderson localization effects based also on the opt we predict a new universality class in quantum chaos related to the metalinsulator transition and provide several examples in low dimensions it is characterized by classical superdiffusion or a fractal spectrum in higher dimensions it can also have a purely quantum origin as in the case of disordered systems our findings open the possibility of studying the metal insulator transition experimentally in a much broader type of systems | [['we', 'adapt', 'the', 'one', 'parameter', 'scaling', 'theory', 'opt', 'to', 'the', 'context', 'of', 'quantum', 'chaos', 'as', 'a', 'result', 'we', 'propose', 'a', 'more', 'precise', 'characterization', 'of', 'the', 'universality', 'classes', 'associated', 'to', 'wignerdyson', 'and', 'poisson', 'statistics', 'which', 'takes', 'into', 'account', 'anderson', 'localization', 'effects', 'based', 'also', 'on', 'the', 'opt', 'we', 'predict', 'a', 'new', 'universality', 'class', 'in', 'quantum', 'chaos', 'related', 'to', 'the', 'metalinsulator', 'transition', 'and', 'provide', 'several', 'examples', 'in', 'low', 'dimensions', 'it', 'is', 'characterized', 'by', 'classical', 'superdiffusion', 'or', 'a', 'fractal', 'spectrum', 'in', 'higher', 'dimensions', 'it', 'can', 'also', 'have', 'a', 'purely', 'quantum', 'origin', 'as', 'in', 'the', 'case', 'of', 'disordered', 'systems', 'our', 'findings', 'open', 'the', 'possibility', 'of', 'studying', 'the', 'metal', 'insulator', 'transition', 'experimentally', 'in', 'a', 'much', 'broader', 'type', 'of', 'systems']] | [-0.10255122723663637, 0.16460268358098326, -0.08757817105851672, 0.10906862494416238, -0.034543065446948185, -0.18115793904536856, 0.08275929134054752, 0.31331057080059455, -0.2364333113325776, -0.2560576983950043, 0.06924495691293439, -0.25523558324944656, -0.22723603472772952, 0.20235474136311857, -0.0291590145583042, 0.06420365645162827, -0.04086825774108942, -0.009968062765655247, -0.08026930830746362, -0.19868219033114415, 0.3183412051891529, 0.02376934307507874, 0.2857800659443359, 0.047266456038913635, 0.020993047039461348, -0.024201761997115295, 0.054983941310670525, 0.048376751219878486, -0.15799168480119247, 0.09711008385623253, 0.23632218711880712, 0.02271869315444368, 0.2551872744348592, -0.37203941298689924, -0.2726671370982596, 0.07543668435243643, 0.13155701309772191, 0.14858830137800558, -0.039237506435880136, -0.33020894722065236, 0.06918553905396731, -0.1766278252924537, -0.15323691979561627, -0.08436619960991419, 0.030974741744915997, -0.03558829332345404, -0.23198199316455398, 0.09270026727602199, 0.12070901143422301, 0.06394817844132143, -0.018238868568488192, -0.045699506170792194, 0.04036212714380725, 0.12019200725851795, -0.014618181938767037, -0.014194649124963094, 0.09912446111778572, -0.1348115112962185, -0.17232804429053897, 0.413039631350378, -0.03621807330972062, -0.17036275441997348, 0.24750955779294986, -0.18096582348812865, -0.15954304938163377, 0.12252602300944582, 0.17527926882184977, 0.08961411361145762, -0.11103747002533183, 0.07896655466767086, -0.02139168438312095, 0.13575520041394584, 0.006976646661708972, 0.08010225366405417, 0.19339265266795996, 0.17283133793193683, 0.05068620086021194, 0.18184681123007188, -0.05498855030092007, -0.1479574129381011, -0.280470815924021, -0.176590002078019, -0.20746539361708988, 0.08325540480426455, -0.08731254498423818, -0.19796975683838136, 0.42855752555373233, 0.20229183736337614, 0.22145725957291051, 0.018301472926009612, 0.20014020633282123, 0.16654229528719838, 0.042723961108553726, 0.026945034623047155, 0.21573532972303508, 0.1466220968168031, 0.12664902076306464, -0.17421428566238126, 0.03455227977324244, 0.09837739563967406] |
707.3965 | Haar Wavelets and the Origin of Gravitational Inertia | Spacetime is considered to be everywhere Minkowski except at the location
where a signal wave of energy interacts with the gravitational field. The
conformal metric f[k(x-vt)]Nuv is suitably chosen to represent this
interaction, where f[k(x-vt)]is a generalized wave or signal function.
Parametrized and Taylor expanded at zero, the spacetime metric is transformed
into a Haar wavelet having parameter width tau. Applying the Haar metric to the
time component of General Relativistic wave equation reduces it from a second
ordered covariant differential equation to a first ordered partial differential
equation that allows the Einstein Tensor to be easily be expressed in the
familiar Poisson form for gravitation. By comparison with the matter density of
this equation, to the Haar-Einstein result, shows that the wavelength of a
graviton becomes the fundamental source for gravitational attraction. Since the
signal wave is unidirectional, it strongly supports Machs assumption that
inertia arises from all the matter in the universe. Furthermore, because the
Haar metric is conformal, the signal metric is solved for exactly.
| physics.gen-ph | spacetime is considered to be everywhere minkowski except at the location where a signal wave of energy interacts with the gravitational field the conformal metric fkxvtnuv is suitably chosen to represent this interaction where fkxvtis a generalized wave or signal function parametrized and taylor expanded at zero the spacetime metric is transformed into a haar wavelet having parameter width tau applying the haar metric to the time component of general relativistic wave equation reduces it from a second ordered covariant differential equation to a first ordered partial differential equation that allows the einstein tensor to be easily be expressed in the familiar poisson form for gravitation by comparison with the matter density of this equation to the haareinstein result shows that the wavelength of a graviton becomes the fundamental source for gravitational attraction since the signal wave is unidirectional it strongly supports machs assumption that inertia arises from all the matter in the universe furthermore because the haar metric is conformal the signal metric is solved for exactly | [['spacetime', 'is', 'considered', 'to', 'be', 'everywhere', 'minkowski', 'except', 'at', 'the', 'location', 'where', 'a', 'signal', 'wave', 'of', 'energy', 'interacts', 'with', 'the', 'gravitational', 'field', 'the', 'conformal', 'metric', 'fkxvtnuv', 'is', 'suitably', 'chosen', 'to', 'represent', 'this', 'interaction', 'where', 'fkxvtis', 'a', 'generalized', 'wave', 'or', 'signal', 'function', 'parametrized', 'and', 'taylor', 'expanded', 'at', 'zero', 'the', 'spacetime', 'metric', 'is', 'transformed', 'into', 'a', 'haar', 'wavelet', 'having', 'parameter', 'width', 'tau', 'applying', 'the', 'haar', 'metric', 'to', 'the', 'time', 'component', 'of', 'general', 'relativistic', 'wave', 'equation', 'reduces', 'it', 'from', 'a', 'second', 'ordered', 'covariant', 'differential', 'equation', 'to', 'a', 'first', 'ordered', 'partial', 'differential', 'equation', 'that', 'allows', 'the', 'einstein', 'tensor', 'to', 'be', 'easily', 'be', 'expressed', 'in', 'the', 'familiar', 'poisson', 'form', 'for', 'gravitation', 'by', 'comparison', 'with', 'the', 'matter', 'density', 'of', 'this', 'equation', 'to', 'the', 'haareinstein', 'result', 'shows', 'that', 'the', 'wavelength', 'of', 'a', 'graviton', 'becomes', 'the', 'fundamental', 'source', 'for', 'gravitational', 'attraction', 'since', 'the', 'signal', 'wave', 'is', 'unidirectional', 'it', 'strongly', 'supports', 'machs', 'assumption', 'that', 'inertia', 'arises', 'from', 'all', 'the', 'matter', 'in', 'the', 'universe', 'furthermore', 'because', 'the', 'haar', 'metric', 'is', 'conformal', 'the', 'signal', 'metric', 'is', 'solved', 'for', 'exactly']] | [-0.15739285640531417, 0.1516467955414996, -0.13458313102071937, 0.07470943401990966, -0.15097648436203598, -0.1124590072802014, -0.05582127362828363, 0.29378328217249927, -0.2929864825455077, -0.22213876534140473, 0.06090737675373076, -0.2825852124543444, -0.11761884048270682, 0.13372258934418135, 0.010304351055035086, 0.03184114743701436, 0.0020532488639494685, 0.11852269831649734, -0.0746204619458171, -0.19226039867622383, 0.37032230774110014, 0.05370831135872074, 0.25630928585023594, -0.00511847280925422, 0.14227549417903929, 0.004234152942345562, -0.024501333308095733, 0.037919930255774295, -0.06555481288281347, 0.04166950206413413, 0.24823156071466987, 0.1131168205770805, 0.22122234962316173, -0.37986432019282473, -0.22990208542482418, 0.10065731733868068, 0.10288917015052655, 0.10338676383323742, -0.005356017979228813, -0.3419575443378452, 0.06794619767531526, -0.14533299980402897, -0.17261520332910799, -0.015259761622909344, 0.03211794786903104, -0.02106537399249095, -0.28000355088857537, 0.11898596575660067, 0.0582463230486169, -0.06544317404288008, -0.08332127431710956, -0.04842635826278252, -0.030820815832438793, 0.030759814219323525, 0.07633466006567081, 0.12138597289326064, 0.11874266223925532, -0.08466566737007462, -0.027064551475147407, 0.43146241223157356, -0.12824412783974726, -0.2861375354343291, 0.0964490228078582, -0.17376184333962472, -0.09610979544055281, 0.15049819706826273, 0.13702137775676834, 0.09722969043209698, -0.15355253352529624, 0.15187455925236767, -0.011671183710198173, 0.16426734743131832, 0.1339980677391092, 0.020702995485837827, 0.22309872064965242, 0.0982031917326491, 0.09047041219292265, 0.11928350653174813, -0.021694260666316207, -0.10306286783324498, -0.34274850487709047, -0.16766741310782504, -0.2237167454938489, 0.07212927094625422, -0.13380274930060487, -0.19906167878458897, 0.37706776676050413, 0.10127170024577274, 0.14239952874715636, 0.05392609759036339, 0.28416685192196656, 0.20625737193322768, 0.05028543546513626, 0.07544184378771619, 0.26643135181882166, 0.1844524722814447, 0.09369830011714701, -0.1739114501938633, 0.000493358349371137, 0.09394068314806756] |
707.3966 | Bose-Einstein condensation of diquark molecules in three-flavor quark
matter | We study the phase diagram of strongly interacting matter with three quark
flavors at low and intermediate densities and non-zero temperatures in the
framework of an NJL-type model with four-point interactions. At large
densities, when the interactions are weak due to asymptotic freedom, quarks
form loosely bound Cooper pairs. However, when the density decreases,
interactions become stronger and quark Cooper pairs transform smoothly into
tightly bound diquark molecules. We find that such molecules are stable at low
density and temperature and that they dissociate above a temperature $T_{\rm
diss}$ of the order of the chiral phase transition temperature $T_c \sim 170$
MeV. We also explore the conditions under which these molecules undergo
Bose-Einstein condensation (BEC). We find that BEC is only possible if we
increase the attractive interaction in the diquark channel to (probably
unrealistically) large values.
| nucl-th | we study the phase diagram of strongly interacting matter with three quark flavors at low and intermediate densities and nonzero temperatures in the framework of an njltype model with fourpoint interactions at large densities when the interactions are weak due to asymptotic freedom quarks form loosely bound cooper pairs however when the density decreases interactions become stronger and quark cooper pairs transform smoothly into tightly bound diquark molecules we find that such molecules are stable at low density and temperature and that they dissociate above a temperature t_rm diss of the order of the chiral phase transition temperature t_c sim 170 mev we also explore the conditions under which these molecules undergo boseeinstein condensation bec we find that bec is only possible if we increase the attractive interaction in the diquark channel to probably unrealistically large values | [['we', 'study', 'the', 'phase', 'diagram', 'of', 'strongly', 'interacting', 'matter', 'with', 'three', 'quark', 'flavors', 'at', 'low', 'and', 'intermediate', 'densities', 'and', 'nonzero', 'temperatures', 'in', 'the', 'framework', 'of', 'an', 'njltype', 'model', 'with', 'fourpoint', 'interactions', 'at', 'large', 'densities', 'when', 'the', 'interactions', 'are', 'weak', 'due', 'to', 'asymptotic', 'freedom', 'quarks', 'form', 'loosely', 'bound', 'cooper', 'pairs', 'however', 'when', 'the', 'density', 'decreases', 'interactions', 'become', 'stronger', 'and', 'quark', 'cooper', 'pairs', 'transform', 'smoothly', 'into', 'tightly', 'bound', 'diquark', 'molecules', 'we', 'find', 'that', 'such', 'molecules', 'are', 'stable', 'at', 'low', 'density', 'and', 'temperature', 'and', 'that', 'they', 'dissociate', 'above', 'a', 'temperature', 't_rm', 'diss', 'of', 'the', 'order', 'of', 'the', 'chiral', 'phase', 'transition', 'temperature', 't_c', 'sim', '170', 'mev', 'we', 'also', 'explore', 'the', 'conditions', 'under', 'which', 'these', 'molecules', 'undergo', 'boseeinstein', 'condensation', 'bec', 'we', 'find', 'that', 'bec', 'is', 'only', 'possible', 'if', 'we', 'increase', 'the', 'attractive', 'interaction', 'in', 'the', 'diquark', 'channel', 'to', 'probably', 'unrealistically', 'large', 'values']] | [-0.15585672805072182, 0.3514705725621991, -0.05726004394245449, 0.09882117556764941, -0.001000467151867389, -0.1623808816585173, 0.08642898840034367, 0.3522306439215249, -0.17729770403736048, -0.2888176168049992, -0.025077086966824685, -0.3196454202402791, -0.03946078499357631, 0.05706625339833435, 0.10193054530987122, -0.023556195376980473, -0.004744120499197339, 0.03397812150600604, -0.10155573364875763, -0.25398661603090644, 0.32870691767927723, -0.014244877396790433, 0.2794833615027966, 0.1812330033051455, 0.04347687006170053, -0.03258155216038037, 0.12029806668632222, -0.041296968573065355, -0.15230812321931766, -0.019484882484305733, 0.22938339564784424, -0.01956103102433203, 0.1645490096025441, -0.40709160241114833, -0.1877441329840761, 0.1308901638666127, 0.1720055449740404, 0.15246265943682188, -0.046157713110191595, -0.2802770943142963, 0.044738471905707664, -0.18621717923300435, -0.15887446987041592, -0.10978236133028774, 0.0318345510856296, 0.01891217478737915, -0.29775780221161835, 0.14022986301757143, 0.022706207295838932, 0.011810690212151864, -0.04231684850052978, -0.15077515116410098, -0.06463531546131537, 0.018160231661707518, 0.05929834104948643, 0.0836073136429581, 0.14688899889452398, -0.20589222696467038, 0.03753678684877436, 0.3523952941049951, -0.10407132367912789, -0.08203359850322026, 0.247793076053877, -0.17116256896406412, -0.10418607263288794, 0.1960894983180248, 0.17164228095147882, 0.10553110237267331, -0.12642829952847356, 0.03336186574459293, -0.017797212070533936, 0.200859712021269, 0.08442294930726507, 0.09004404565863681, 0.31427396625198806, 0.14604395156195998, 0.02273184929151822, 0.11607164826352884, -0.07798016773380448, -0.1262699743689473, -0.2686412392224926, -0.10249122368922987, -0.16497199168347204, -0.007813577897112518, -0.09403046710961788, -0.1326243858852417, 0.3107760165780647, 0.14305423331586303, 0.24782460346545201, 0.016382762824905778, 0.27123348307829814, 0.12344959714062458, 0.09019387526995074, 0.10807359117307584, 0.2552579639778629, 0.18165159847138682, 0.05290964701260528, -0.2768553074850381, -0.01507278458031751, 0.03364558162738698] |
707.3967 | Curvaton reheating allows TeV Hubble scale in NO inflation | Curvaton reheating is studied in non-oscillatory (NO) models of inflation,
with the aim to obtain bounds on the parameters of curvaton models and find out
whether low scale inflation can be attained. Using a minimal curvaton model, it
is found that the allowed parameter space is considerably larger than in the
case of the usual oscillatory inflation models. In particular, inflation with
Hubble scale as low as 1 TeV is comfortably allowed.
| hep-ph astro-ph hep-th | curvaton reheating is studied in nonoscillatory no models of inflation with the aim to obtain bounds on the parameters of curvaton models and find out whether low scale inflation can be attained using a minimal curvaton model it is found that the allowed parameter space is considerably larger than in the case of the usual oscillatory inflation models in particular inflation with hubble scale as low as 1 tev is comfortably allowed | [['curvaton', 'reheating', 'is', 'studied', 'in', 'nonoscillatory', 'no', 'models', 'of', 'inflation', 'with', 'the', 'aim', 'to', 'obtain', 'bounds', 'on', 'the', 'parameters', 'of', 'curvaton', 'models', 'and', 'find', 'out', 'whether', 'low', 'scale', 'inflation', 'can', 'be', 'attained', 'using', 'a', 'minimal', 'curvaton', 'model', 'it', 'is', 'found', 'that', 'the', 'allowed', 'parameter', 'space', 'is', 'considerably', 'larger', 'than', 'in', 'the', 'case', 'of', 'the', 'usual', 'oscillatory', 'inflation', 'models', 'in', 'particular', 'inflation', 'with', 'hubble', 'scale', 'as', 'low', 'as', '1', 'tev', 'is', 'comfortably', 'allowed']] | [-0.11370004298320661, 0.2527325349834023, -0.09786462227606939, 0.19245806981214425, -0.09224978816928342, -0.2031086105077217, -0.040329615145714745, 0.2987396069090917, -0.20417095952951866, -0.3131735753785405, 0.12274580490096317, -0.17692957819801652, -0.09066911442722711, 0.22030414500881712, -0.01924970036553633, 0.01804099644505186, 0.0338439306554695, 0.07110781415313897, -0.0013271674817790175, -0.32965305915826726, 0.283376603135063, 0.12858456001009066, 0.18907989914684245, -0.026323341680431947, 0.03888558014295995, -0.14569030523610613, 0.03185608791601327, -0.04666039450522577, -0.19822705853716294, 0.04019075322947982, 0.16091089819903776, 0.10700425526980932, 0.23099657897061357, -0.39891981959549916, -0.28747912841693807, 0.2509461917539334, 0.18579886588526684, 0.09523761462898822, 0.024756580246806454, -0.20286165030686082, 0.08129224567286049, -0.16111036686278465, -0.038511108296612896, -0.06938844642394947, -0.0018754197129358847, -0.08876882972092265, -0.32911281175135326, 0.11854954215232283, -0.048040817543450326, -0.012240556676665114, -0.07046169304521754, -0.0679109496737106, -0.07045675032875603, -0.04234033163973234, 0.15013411769016077, 0.04227759760235333, 0.12927995063364506, -0.1748596656964057, -0.058726233624232314, 0.428091829849614, -0.18516673875698567, -0.13327063537306255, 0.10885138344181339, -0.16907509205177323, -0.1295863336029773, 0.0691320210074385, 0.11440760078322557, 0.12456356322703262, -0.09949522114927983, 0.21050584678434664, 0.05212758431055894, 0.21152875802686644, 0.07379290195078486, -0.009462145107035112, 0.2471448168055051, 0.19645082851962392, 0.09507323630775015, 0.12277676468915565, -0.04790113804564397, -0.10072999955284306, -0.3722532561255826, -0.016738202759168215, -0.17402698430750105, 0.030252677142723568, -0.1807740648701939, -0.1481799896557479, 0.41387818932869574, 0.1664569620237065, 0.28020973494535106, 0.06666673917789012, 0.27470092040797073, 0.11960381644894369, 0.09697570750722662, 0.06053514633094892, 0.3411733827799455, 0.0657743069395009, 0.13305796484281826, -0.16505876994859944, 0.04533467006533303, 0.018262859317474067] |
707.3968 | Phenomenology for Supernova Ia Data Based on a New Cosmic Time | A new phenomenological theory for the expansion of our universe is presented.
Because fundamental supporting theory is still in development, its discussion
is not presented in this paper. The theory is based on a new algebraic
expression for cosmic time G Rho t^2=3/32Pi, which correctly predicts the WMAP
measured cosmological constants and the fundamental Hubble parameter H(t) for
the expansion of the universe. A replacement for dark matter, called here "dark
mass", is proposed which scales as with the expansion and incorporated. It does
not react with ordinary matter, except gravitationally, and produces flat
rotational curves for spiral galaxies. Also a new expression for the
approaching velocity of radiation in a closed 3-sphere expanding universe is
given that accounts for the early degrading negative approach of radiation for
z > 1.7. The expression is v = Hr-c. Combining these three elements produces a
luminosity distance dL that successfully predicts the apparent magnitude of
exploding supernova Ia stars and even the new gamma ray bursts with no need for
dark energy or acceleration of the expansion of the universe.
| physics.gen-ph | a new phenomenological theory for the expansion of our universe is presented because fundamental supporting theory is still in development its discussion is not presented in this paper the theory is based on a new algebraic expression for cosmic time g rho t2332pi which correctly predicts the wmap measured cosmological constants and the fundamental hubble parameter ht for the expansion of the universe a replacement for dark matter called here dark mass is proposed which scales as with the expansion and incorporated it does not react with ordinary matter except gravitationally and produces flat rotational curves for spiral galaxies also a new expression for the approaching velocity of radiation in a closed 3sphere expanding universe is given that accounts for the early degrading negative approach of radiation for z 17 the expression is v hrc combining these three elements produces a luminosity distance dl that successfully predicts the apparent magnitude of exploding supernova ia stars and even the new gamma ray bursts with no need for dark energy or acceleration of the expansion of the universe | [['a', 'new', 'phenomenological', 'theory', 'for', 'the', 'expansion', 'of', 'our', 'universe', 'is', 'presented', 'because', 'fundamental', 'supporting', 'theory', 'is', 'still', 'in', 'development', 'its', 'discussion', 'is', 'not', 'presented', 'in', 'this', 'paper', 'the', 'theory', 'is', 'based', 'on', 'a', 'new', 'algebraic', 'expression', 'for', 'cosmic', 'time', 'g', 'rho', 't2332pi', 'which', 'correctly', 'predicts', 'the', 'wmap', 'measured', 'cosmological', 'constants', 'and', 'the', 'fundamental', 'hubble', 'parameter', 'ht', 'for', 'the', 'expansion', 'of', 'the', 'universe', 'a', 'replacement', 'for', 'dark', 'matter', 'called', 'here', 'dark', 'mass', 'is', 'proposed', 'which', 'scales', 'as', 'with', 'the', 'expansion', 'and', 'incorporated', 'it', 'does', 'not', 'react', 'with', 'ordinary', 'matter', 'except', 'gravitationally', 'and', 'produces', 'flat', 'rotational', 'curves', 'for', 'spiral', 'galaxies', 'also', 'a', 'new', 'expression', 'for', 'the', 'approaching', 'velocity', 'of', 'radiation', 'in', 'a', 'closed', '3sphere', 'expanding', 'universe', 'is', 'given', 'that', 'accounts', 'for', 'the', 'early', 'degrading', 'negative', 'approach', 'of', 'radiation', 'for', 'z', '17', 'the', 'expression', 'is', 'v', 'hrc', 'combining', 'these', 'three', 'elements', 'produces', 'a', 'luminosity', 'distance', 'dl', 'that', 'successfully', 'predicts', 'the', 'apparent', 'magnitude', 'of', 'exploding', 'supernova', 'ia', 'stars', 'and', 'even', 'the', 'new', 'gamma', 'ray', 'bursts', 'with', 'no', 'need', 'for', 'dark', 'energy', 'or', 'acceleration', 'of', 'the', 'expansion', 'of', 'the', 'universe']] | [-0.11462730227038265, 0.13729910933928166, -0.11493800899878677, 0.10696318616425353, -0.13169698659330606, -0.10758133431630475, 0.0007466097774782351, 0.32971920748906475, -0.18936729258192436, -0.3039547293333869, 0.03943409439109798, -0.24065810263156892, -0.06830682163259813, 0.2153743695241532, -0.0038241495431533884, -0.03653321224963293, 0.025245738319520438, 0.045502248071134094, -0.04340077769743012, -0.2521360242659492, 0.32054734506112126, 0.07966575898895306, 0.221682046607935, 0.02476515626800912, 0.12714755064408695, -0.05451416838248926, -0.07451104032807052, 0.013969353142061405, -0.15731133650580886, 0.08215388328402436, 0.2009109294904296, 0.1510143776530666, 0.20712063093935804, -0.3743805412415947, -0.2581147234389625, 0.12595604058654447, 0.19608568383912955, 0.09752852122141381, -0.09651948320878936, -0.24573428969032, 0.06212113635681037, -0.1714595316543377, -0.15301706361185227, -0.018474376421155674, 0.050022002822120805, -0.01359418118904744, -0.2513187262894852, 0.13548120427527466, 0.014035627299121448, -0.013599451252126268, -0.09345365989687188, -0.083322765749347, 0.01120136972383729, 0.05396944479218551, 0.06378186290751078, 0.07296965557017497, 0.12517651697354656, -0.15469820835627615, -0.04374179171265236, 0.43917860827541777, -0.10627379731607757, -0.08195481777191162, 0.14262125607380377, -0.16425144128235322, -0.15114115773034947, 0.13957581027677016, 0.10252230964401471, 0.08340336845123342, -0.14692239653851305, 0.1145217629561999, 0.011991102799241033, 0.16917985575539726, 0.06638647028378078, 0.00948954720702854, 0.2627043256589345, 0.15714418963462645, 0.03242745917024357, 0.03555382205372942, -0.1000798304152808, -0.0422361185508115, -0.3605980956607631, -0.170734016222081, -0.17081219385544372, 0.058773210514503134, -0.14428917093967486, -0.1909134815260768, 0.35653097665735656, 0.0694870903928365, 0.18239057746050613, 0.06138458887115121, 0.31121859753770487, 0.08011403414819922, 0.05623852426851434, 0.11361119690085096, 0.2858720661699772, 0.13356283332088165, 0.10140384491399995, -0.21832365808077156, 0.061301891931465693, 0.05302587707726551] |
707.3969 | Inference on inspiral signals using LISA MLDC data | In this paper we describe a Bayesian inference framework for analysis of data
obtained by LISA. We set up a model for binary inspiral signals as defined for
the Mock LISA Data Challenge 1.2 (MLDC), and implemented a Markov chain Monte
Carlo (MCMC) algorithm to facilitate exploration and integration of the
posterior distribution over the 9-dimensional parameter space. Here we present
intermediate results showing how, using this method, information about the 9
parameters can be extracted from the data.
| gr-qc | in this paper we describe a bayesian inference framework for analysis of data obtained by lisa we set up a model for binary inspiral signals as defined for the mock lisa data challenge 12 mldc and implemented a markov chain monte carlo mcmc algorithm to facilitate exploration and integration of the posterior distribution over the 9dimensional parameter space here we present intermediate results showing how using this method information about the 9 parameters can be extracted from the data | [['in', 'this', 'paper', 'we', 'describe', 'a', 'bayesian', 'inference', 'framework', 'for', 'analysis', 'of', 'data', 'obtained', 'by', 'lisa', 'we', 'set', 'up', 'a', 'model', 'for', 'binary', 'inspiral', 'signals', 'as', 'defined', 'for', 'the', 'mock', 'lisa', 'data', 'challenge', '12', 'mldc', 'and', 'implemented', 'a', 'markov', 'chain', 'monte', 'carlo', 'mcmc', 'algorithm', 'to', 'facilitate', 'exploration', 'and', 'integration', 'of', 'the', 'posterior', 'distribution', 'over', 'the', '9dimensional', 'parameter', 'space', 'here', 'we', 'present', 'intermediate', 'results', 'showing', 'how', 'using', 'this', 'method', 'information', 'about', 'the', '9', 'parameters', 'can', 'be', 'extracted', 'from', 'the', 'data']] | [-0.05582575880792699, 0.057009945205070925, -0.11031281958699604, 0.10652059081741432, -0.08004758422133289, -0.052465916169170713, 0.0941584691968216, 0.40283805320534527, -0.27870057208487126, -0.37737325291278995, 0.1337731804955114, -0.23133356559172838, -0.1333406126904714, 0.2700551176720735, 0.018741706657353082, 0.09467598997038801, 0.1568550721070246, -0.05433352754298079, -0.10012634372511066, -0.23394533856241387, 0.2797789941482906, 0.09187920079153927, 0.2037155126527989, -0.09750505851641006, 0.1595891805857868, 0.04472769620309619, -0.05425389347998779, -0.03909543408353554, -0.19681834456911665, 0.1333403152213255, 0.30495659372462786, 0.22893053340383723, 0.2588647883149642, -0.3509699757434899, -0.20185478929948958, 0.1018773119165739, 0.1649967947078845, 0.14370387232614845, -0.03387354308432793, -0.34176610923767137, 0.06608309738243683, -0.2591573915243903, -0.07091689668595791, -0.12996985545806303, -0.06587152893926147, 0.012498446162554282, -0.3030698317868629, 0.03946100979383233, 0.010587214940239358, 0.04292507576933013, -0.03568905968619864, -0.10056131769301771, 0.01353317499455489, 0.0988848611677089, -0.007208527599260966, 0.07357197756366214, 0.11130340156275072, -0.04005299496782731, -0.15272892095572962, 0.31323733698293754, -0.07619136761390616, -0.20727541590038734, 0.09186200496941051, -0.1098682670854032, -0.213642923709571, 0.11156055533999129, 0.2111536308392128, 0.12912981434949214, -0.1784948098555773, 0.0839181779515399, 0.03364975834589546, 0.19758599316347628, -0.008899973572785908, -0.06204813985814211, 0.1920316522304393, 0.22432447233991815, 0.01746818374347272, 0.1566268168993978, -0.1725338798405343, -0.11248764730444696, -0.28183949311467216, -0.13834682040953938, -0.22826999647224533, 0.016454151750518644, -0.13006101951815036, -0.12639056719379807, 0.3662864230396344, 0.2599713839660661, 0.1988278082984535, 0.10138948848824712, 0.2979481707716101, 0.048877426502891654, 0.011196907614582495, 0.07292560248671076, 0.1743047317678604, 0.07253395381407175, 0.0606541460589211, -0.13652617191671854, 0.055116333597917344, 0.009480030947848212] |
707.397 | Minimum-error discrimination between mixed quantum states | We derive a general lower bound on the minimum-error probability for {\it
ambiguous discrimination} between arbitrary $m$ mixed quantum states with given
prior probabilities. When $m=2$, this bound is precisely the well-known
Helstrom limit. Also, we give a general lower bound on the minimum-error
probability for discriminating quantum operations. Then we further analyze how
this lower bound is attainable for ambiguous discrimination of mixed quantum
states by presenting necessary and sufficient conditions related to it.
Furthermore, with a restricted condition, we work out a upper bound on the
minimum-error probability for ambiguous discrimination of mixed quantum states.
Therefore, some sufficient conditions are obtained for the minimum-error
probability attaining this bound. Finally, under the condition of the
minimum-error probability attaining this bound, we compare the minimum-error
probability for {\it ambiguously} discriminating arbitrary $m$ mixed quantum
states with the optimal failure probability for {\it unambiguously}
discriminating the same states.
| quant-ph | we derive a general lower bound on the minimumerror probability for it ambiguous discrimination between arbitrary m mixed quantum states with given prior probabilities when m2 this bound is precisely the wellknown helstrom limit also we give a general lower bound on the minimumerror probability for discriminating quantum operations then we further analyze how this lower bound is attainable for ambiguous discrimination of mixed quantum states by presenting necessary and sufficient conditions related to it furthermore with a restricted condition we work out a upper bound on the minimumerror probability for ambiguous discrimination of mixed quantum states therefore some sufficient conditions are obtained for the minimumerror probability attaining this bound finally under the condition of the minimumerror probability attaining this bound we compare the minimumerror probability for it ambiguously discriminating arbitrary m mixed quantum states with the optimal failure probability for it unambiguously discriminating the same states | [['we', 'derive', 'a', 'general', 'lower', 'bound', 'on', 'the', 'minimumerror', 'probability', 'for', 'it', 'ambiguous', 'discrimination', 'between', 'arbitrary', 'm', 'mixed', 'quantum', 'states', 'with', 'given', 'prior', 'probabilities', 'when', 'm2', 'this', 'bound', 'is', 'precisely', 'the', 'wellknown', 'helstrom', 'limit', 'also', 'we', 'give', 'a', 'general', 'lower', 'bound', 'on', 'the', 'minimumerror', 'probability', 'for', 'discriminating', 'quantum', 'operations', 'then', 'we', 'further', 'analyze', 'how', 'this', 'lower', 'bound', 'is', 'attainable', 'for', 'ambiguous', 'discrimination', 'of', 'mixed', 'quantum', 'states', 'by', 'presenting', 'necessary', 'and', 'sufficient', 'conditions', 'related', 'to', 'it', 'furthermore', 'with', 'a', 'restricted', 'condition', 'we', 'work', 'out', 'a', 'upper', 'bound', 'on', 'the', 'minimumerror', 'probability', 'for', 'ambiguous', 'discrimination', 'of', 'mixed', 'quantum', 'states', 'therefore', 'some', 'sufficient', 'conditions', 'are', 'obtained', 'for', 'the', 'minimumerror', 'probability', 'attaining', 'this', 'bound', 'finally', 'under', 'the', 'condition', 'of', 'the', 'minimumerror', 'probability', 'attaining', 'this', 'bound', 'we', 'compare', 'the', 'minimumerror', 'probability', 'for', 'it', 'ambiguously', 'discriminating', 'arbitrary', 'm', 'mixed', 'quantum', 'states', 'with', 'the', 'optimal', 'failure', 'probability', 'for', 'it', 'unambiguously', 'discriminating', 'the', 'same', 'states']] | [-0.10260927700279217, 0.20578200001979158, -0.10302686312736399, 0.15146311983105024, 0.008554524637530652, -0.2669123276865401, 0.16931298476814918, 0.293872405914273, -0.18345402685614923, -0.32596055914958316, 0.07127463176757806, -0.20033364961570016, -0.12364688178613073, 0.17908681940357044, -0.10704458005517264, 0.1437647643207642, 0.07647375076641741, 0.14050399436659755, -0.11738815578334287, -0.28646689802598285, 0.3437067445392917, 0.07241283759370218, 0.3283466763959146, 0.08994437345314682, 0.06528252922632054, -0.005661023787039072, 0.054089838052865394, -0.03096924171637313, -0.2296012707282694, 0.13565527485821358, 0.2815930806607211, 0.19486541233538668, 0.20915828582507615, -0.3679190576836771, -0.13207282297959438, 0.17747584473797862, 0.056934648285284134, 0.14904304561331919, -0.04150878438380781, -0.32292979097842767, 0.08144732693615718, -0.14344689622046236, -0.09160724782137847, -0.06584489304369608, 0.04439625636275325, -0.07287466315058422, -0.3366659075769336, 0.10052608316237595, 0.08969662104080729, -0.021902470756203354, -0.08664978152698502, -0.14324644955863453, 0.06156682823056064, 0.1332836963648537, -0.06919574502817526, -0.02105751224052237, 0.03510158912589153, -0.1483142874583754, -0.12955911013101334, 0.2592106351793623, -0.03836816539045512, -0.28078725538691696, 0.16310173271344278, -0.12294453504450974, -0.12917731938326135, 0.07581731982269407, 0.10464904578972836, 0.15789832987942967, -0.09980345242326132, 0.03949806148615558, -0.09363766917230269, 0.14371428220235063, 0.14839406619735418, 0.1493628248738657, 0.16239015570703932, 0.08283541201879936, 0.20081827465245233, 0.2066662478178334, -0.08489826211522074, -0.10033475699657131, -0.3669780918173682, -0.189249414067991, -0.22466956895022167, 0.0825443285403355, -0.05743262115349204, -0.13240818031208249, 0.33731543019629356, 0.09110944286673045, 0.1697645696944424, 0.12163558729281206, 0.2813772631200905, 0.1824032230307443, -0.11382148565002242, 0.09963450022358573, 0.22949817450420112, 0.16406747079961204, -0.06193996381086256, -0.21739602835570165, 0.1315404861804326, 0.033780514097892914] |
707.3971 | Quantum Flexoelectricity in Low Dimensional Systems | Symmetry breaking at surfaces and interfaces and the capability to support
large strain gradients in nanoscale systems enable new forms of
electromechanical coupling. Here we introduce the concept of quantum
flexoelectricity, a phenomenon that is manifested when the mechanical
deformation of non-polar quantum systems results in the emergence of net dipole
moments and hence linear electromechanical coupling proportional to local
curvature. The concept is illustrated in carbon systems, including
polyacetylene and nano graphitic ribbons. Using density functional theory
calculations for systems made of up to 400 atoms, we determine the
flexoelectric coefficients to be of the order of ~ 0.1 e, in agreement with the
prediction of linear theory. The implications of quantum flexoelectricity on
electromechanical device applications, and physics of carbon based materials
are discussed.
| cond-mat.mtrl-sci | symmetry breaking at surfaces and interfaces and the capability to support large strain gradients in nanoscale systems enable new forms of electromechanical coupling here we introduce the concept of quantum flexoelectricity a phenomenon that is manifested when the mechanical deformation of nonpolar quantum systems results in the emergence of net dipole moments and hence linear electromechanical coupling proportional to local curvature the concept is illustrated in carbon systems including polyacetylene and nano graphitic ribbons using density functional theory calculations for systems made of up to 400 atoms we determine the flexoelectric coefficients to be of the order of 01 e in agreement with the prediction of linear theory the implications of quantum flexoelectricity on electromechanical device applications and physics of carbon based materials are discussed | [['symmetry', 'breaking', 'at', 'surfaces', 'and', 'interfaces', 'and', 'the', 'capability', 'to', 'support', 'large', 'strain', 'gradients', 'in', 'nanoscale', 'systems', 'enable', 'new', 'forms', 'of', 'electromechanical', 'coupling', 'here', 'we', 'introduce', 'the', 'concept', 'of', 'quantum', 'flexoelectricity', 'a', 'phenomenon', 'that', 'is', 'manifested', 'when', 'the', 'mechanical', 'deformation', 'of', 'nonpolar', 'quantum', 'systems', 'results', 'in', 'the', 'emergence', 'of', 'net', 'dipole', 'moments', 'and', 'hence', 'linear', 'electromechanical', 'coupling', 'proportional', 'to', 'local', 'curvature', 'the', 'concept', 'is', 'illustrated', 'in', 'carbon', 'systems', 'including', 'polyacetylene', 'and', 'nano', 'graphitic', 'ribbons', 'using', 'density', 'functional', 'theory', 'calculations', 'for', 'systems', 'made', 'of', 'up', 'to', '400', 'atoms', 'we', 'determine', 'the', 'flexoelectric', 'coefficients', 'to', 'be', 'of', 'the', 'order', 'of', '01', 'e', 'in', 'agreement', 'with', 'the', 'prediction', 'of', 'linear', 'theory', 'the', 'implications', 'of', 'quantum', 'flexoelectricity', 'on', 'electromechanical', 'device', 'applications', 'and', 'physics', 'of', 'carbon', 'based', 'materials', 'are', 'discussed']] | [-0.16540437131375074, 0.16945116711780428, -0.03309443702921271, -0.0067298009973019365, -0.03806148122251034, -0.13352685919776558, 0.020278355196118356, 0.3685586143732071, -0.2767494263574481, -0.27996004350483417, 0.038039632637053726, -0.2702163325548172, -0.2120303163677454, 0.2031883368100971, -0.00020100433006882667, 0.08347219485789538, -0.016419377498328686, -0.0424600108191371, -0.05405324436537921, -0.1872190788751468, 0.25365038654208183, 0.044778246249770746, 0.321419293384999, 0.12785171566531062, 0.08506113749742508, -0.017923480505123733, 0.0763253940306604, 0.06408600374311209, -0.15294354298181134, 0.17413643424957992, 0.2490902896914631, -0.05151866651326418, 0.22951466511189939, -0.4984117475748062, -0.20340144842118024, 0.01095034473069245, 0.053048184234648944, 0.15601923192292452, -0.06587262367364019, -0.24979352322220802, 0.07998844954371452, -0.14793057445064187, -0.14553729965351522, -0.11256752401404083, 0.02418742751330137, 0.03002137028798461, -0.23149311847239734, 0.0886250296793878, 0.043492340069264175, 0.11319878170773154, -0.08620520159602166, -0.10576464735530317, -0.024227313416078686, 0.055257204110967, 0.03269902601465583, -0.023806688413023948, 0.2103850126983598, -0.12616226813429968, -0.14705153185129166, 0.4269103601872921, -0.0666771647715941, -0.14396545101178343, 0.19252398595772682, -0.1454147908464074, -0.10320883894711733, 0.09625838697701693, 0.191779383309884, 0.08159705823659896, -0.13510506429767702, 0.09828013816056773, 0.07584548966330476, 0.16563854491710664, 0.05015050424262881, 0.09111312157980865, 0.24148498110473157, 0.18376700400188564, 0.035085976973176, 0.12268149449769407, -0.05745217752084136, -0.08894520672783256, -0.2851316027492285, -0.2099769671559334, -0.20704075402021407, 0.047898524593561885, -0.08362976619543042, -0.18854838808253407, 0.3700230224877596, 0.1324174833111465, 0.14162855062633753, -0.01556600757688284, 0.21151940922811627, 0.08309893824532628, 0.10541668019071221, -0.020523927604779602, 0.29932282206043603, 0.24813666750490665, 0.10027892360277474, -0.26494296215474605, 0.044772653430700304, 0.0188952180929482] |
707.3972 | Learning Probabilistic Models of Word Sense Disambiguation | This dissertation presents several new methods of supervised and unsupervised
learning of word sense disambiguation models. The supervised methods focus on
performing model searches through a space of probabilistic models, and the
unsupervised methods rely on the use of Gibbs Sampling and the Expectation
Maximization (EM) algorithm. In both the supervised and unsupervised case, the
Naive Bayesian model is found to perform well. An explanation for this success
is presented in terms of learning rates and bias-variance decompositions.
| cs.CL cs.AI | this dissertation presents several new methods of supervised and unsupervised learning of word sense disambiguation models the supervised methods focus on performing model searches through a space of probabilistic models and the unsupervised methods rely on the use of gibbs sampling and the expectation maximization em algorithm in both the supervised and unsupervised case the naive bayesian model is found to perform well an explanation for this success is presented in terms of learning rates and biasvariance decompositions | [['this', 'dissertation', 'presents', 'several', 'new', 'methods', 'of', 'supervised', 'and', 'unsupervised', 'learning', 'of', 'word', 'sense', 'disambiguation', 'models', 'the', 'supervised', 'methods', 'focus', 'on', 'performing', 'model', 'searches', 'through', 'a', 'space', 'of', 'probabilistic', 'models', 'and', 'the', 'unsupervised', 'methods', 'rely', 'on', 'the', 'use', 'of', 'gibbs', 'sampling', 'and', 'the', 'expectation', 'maximization', 'em', 'algorithm', 'in', 'both', 'the', 'supervised', 'and', 'unsupervised', 'case', 'the', 'naive', 'bayesian', 'model', 'is', 'found', 'to', 'perform', 'well', 'an', 'explanation', 'for', 'this', 'success', 'is', 'presented', 'in', 'terms', 'of', 'learning', 'rates', 'and', 'biasvariance', 'decompositions']] | [0.001965163609920404, -0.017086186975901887, -0.10119807093929595, 0.11000029081239915, -0.11464459401292679, -0.17480236200544125, 0.0835440910110871, 0.44740251552027005, -0.26691074448619756, -0.3060628299553616, 0.058576629732926495, -0.2248373011676356, -0.16525462538433763, 0.18929935893258795, -0.11464847738329226, 0.0946726488152471, 0.14467161612059826, 0.08424008845423277, -0.08373724149826628, -0.2904919621845086, 0.2930399137041651, 0.07849163971602535, 0.3770778049261142, -0.02573385566043166, 0.1581172299786256, 0.018443255562884495, -0.11031158619488661, -0.040496860141642034, -0.11645104401768783, 0.20868684270849022, 0.3176751474247095, 0.2513908322016971, 0.3634969546722296, -0.32146288183493876, -0.22370551561172575, 0.16744527613553098, 0.18280810561890787, 0.12087252345055532, -0.013291639756435195, -0.3209760057477233, 0.007897286747510616, -0.1712773660173974, 0.07322059925167988, -0.19387487445074397, -0.09406532335262267, -0.01233010883562458, -0.29323824427018946, 0.10154250711322022, 0.12102621795090202, 0.09639539113507056, -0.07418130877881478, -0.16613157002780682, 0.10854606282933113, 0.06489465929543933, 0.08823744705818498, 0.04180141744869522, 0.10470399911252734, -0.20355493289370757, -0.23650731458119714, 0.3380356135013967, -0.07894050402757831, -0.23190820074896926, 0.2180034031984038, 0.02827647712547332, -0.1838679395090693, 0.051203644094176784, 0.2111738304106089, 0.189240238438241, -0.15585399368921152, 0.10742619400470851, -0.038472816395835996, 0.11991537098760884, -0.025414559428986065, -0.03691516544383306, 0.14171665773103134, 0.29932563394928974, 0.029161114221773088, 0.09756977873472258, -0.11181176583975172, -0.09180217110910095, -0.23026714552767003, -0.10465384702174327, -0.1973249140338829, -0.07018186759430534, -0.1075986410744521, -0.20502753542640653, 0.379564525537157, 0.2348834460075849, 0.20834204338443202, 0.1339887232424166, 0.36514392382919025, 0.05099007198945261, 0.033959829391768344, 0.10661892071724512, 0.24066337427043785, 0.06905494748543088, 0.1055109693776243, -0.17595516259256655, 0.09669988026293233, 0.11855047869269186] |
707.3973 | Transient current in a quantum dot asymmetrically coupled to metallic
leads | The time-dependent non-crossing approximation is used to study the transient
current in a single electron transistor attached asymmetrically to two leads
following a sudden change in the energy of the dot level. We show that for
asymmetric coupling, sharp features in the density of states of the leads can
induce oscillations in the current through the dot. These oscillations persist
to much longer timescales than the timescale for charge fluctuations. The
amplitude of the oscillations increases as the temperature or source-drain bias
across the dot is reduced and saturates for values below the Kondo temperature.
We discuss the microscopic origin of these oscillations and comment on the
possibility for their experimental detection.
| cond-mat.str-el | the timedependent noncrossing approximation is used to study the transient current in a single electron transistor attached asymmetrically to two leads following a sudden change in the energy of the dot level we show that for asymmetric coupling sharp features in the density of states of the leads can induce oscillations in the current through the dot these oscillations persist to much longer timescales than the timescale for charge fluctuations the amplitude of the oscillations increases as the temperature or sourcedrain bias across the dot is reduced and saturates for values below the kondo temperature we discuss the microscopic origin of these oscillations and comment on the possibility for their experimental detection | [['the', 'timedependent', 'noncrossing', 'approximation', 'is', 'used', 'to', 'study', 'the', 'transient', 'current', 'in', 'a', 'single', 'electron', 'transistor', 'attached', 'asymmetrically', 'to', 'two', 'leads', 'following', 'a', 'sudden', 'change', 'in', 'the', 'energy', 'of', 'the', 'dot', 'level', 'we', 'show', 'that', 'for', 'asymmetric', 'coupling', 'sharp', 'features', 'in', 'the', 'density', 'of', 'states', 'of', 'the', 'leads', 'can', 'induce', 'oscillations', 'in', 'the', 'current', 'through', 'the', 'dot', 'these', 'oscillations', 'persist', 'to', 'much', 'longer', 'timescales', 'than', 'the', 'timescale', 'for', 'charge', 'fluctuations', 'the', 'amplitude', 'of', 'the', 'oscillations', 'increases', 'as', 'the', 'temperature', 'or', 'sourcedrain', 'bias', 'across', 'the', 'dot', 'is', 'reduced', 'and', 'saturates', 'for', 'values', 'below', 'the', 'kondo', 'temperature', 'we', 'discuss', 'the', 'microscopic', 'origin', 'of', 'these', 'oscillations', 'and', 'comment', 'on', 'the', 'possibility', 'for', 'their', 'experimental', 'detection']] | [-0.1887466559814389, 0.20805197013708362, -0.04105643596267328, 0.07282281169942248, 0.013017182171876942, -0.13184862114056678, 0.09344066649750207, 0.33372948256562396, -0.2693673682972855, -0.30300464456377085, 0.041792816968934075, -0.2912961747081551, -0.07587871048183713, 0.22663290256293425, -0.005823088556228738, -0.022561101430905443, 0.01929322899377439, 0.043428399317365675, -0.10182359437229545, -0.16356751759303734, 0.2888547664541485, 0.06596431210761823, 0.3011473515154129, 0.11886803640767798, 0.037223635013755745, -0.014459839861956425, 0.062360063120390156, 0.0165354285335135, -0.13176068080565528, 0.01903562213400229, 0.1981046958535444, -0.020785928001194925, 0.24534922228277928, -0.4882532176727961, -0.18352884003252257, 0.07749290804245643, 0.1454112161300145, 0.1610735842924831, -0.02129287781696933, -0.25678991683525965, 0.021792298224422017, -0.13625546027573623, -0.12484243579508204, -0.03976644019296925, 0.03637606566605557, 0.03364038584654087, -0.24844691668736882, 0.18074992901944956, 0.03633260653753366, -0.005450511729577556, -0.05978680027406621, -0.07329934663929245, -0.025412829858916148, 0.08976498439317636, 0.049404492174549626, 0.02251149970548535, 0.21530291034806787, -0.12702544176551914, -0.1044222242822538, 0.2924583804560825, -0.12314410121494543, -0.12005244731803291, 0.1684359731817884, -0.22572690283413976, -0.04934598836579036, 0.14020615196620514, 0.13490624316494046, 0.06773944468711436, -0.08683582224849877, 0.04275254135115704, 0.030692349357455635, 0.15808525139540766, 0.06295600490453321, 0.07586719650758564, 0.2775265104927322, 0.1955648211499335, 0.07122978409253326, 0.1320084224987243, -0.16479902107676025, -0.08990246624411416, -0.26906240003050436, -0.11109581209893804, -0.1392325110334371, 0.09236604360493013, -0.059715923520343495, -0.18595621644219915, 0.47864982647089555, 0.20603524260306066, 0.23760761635951763, -0.003299112442359079, 0.26169866690179333, 0.19359417648748994, 0.07812086912911452, 0.02267762366682291, 0.265506740274889, 0.14078746948923385, 0.09534740278364293, -0.3344773257101354, 0.0552155685103831, -0.030929044668612602] |
707.3974 | Peculiar Nature of Snake States in Graphene | We study the dynamics of the electrons in a non-uniform magnetic field
applied perpendicular to a graphene sheet in the low energy limit when the
excitation states can be described by a Dirac type Hamiltonian. We show that as
compared to the two-dimensional electron gas (2DEG) snake states in graphene
exibit peculiar properties related to the underlying dynamics of the Dirac
fermions. The current carried by snake states is locally uncompensated even if
the Fermi energy lies between the first non-zero energy Landau levels of the
conduction and valence bands. The nature of these states is studied by
calculating the current density distribution. It is shown that besides the
snake states in finite samples surface states also exist.
| cond-mat.mes-hall | we study the dynamics of the electrons in a nonuniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a dirac type hamiltonian we show that as compared to the twodimensional electron gas 2deg snake states in graphene exibit peculiar properties related to the underlying dynamics of the dirac fermions the current carried by snake states is locally uncompensated even if the fermi energy lies between the first nonzero energy landau levels of the conduction and valence bands the nature of these states is studied by calculating the current density distribution it is shown that besides the snake states in finite samples surface states also exist | [['we', 'study', 'the', 'dynamics', 'of', 'the', 'electrons', 'in', 'a', 'nonuniform', 'magnetic', 'field', 'applied', 'perpendicular', 'to', 'a', 'graphene', 'sheet', 'in', 'the', 'low', 'energy', 'limit', 'when', 'the', 'excitation', 'states', 'can', 'be', 'described', 'by', 'a', 'dirac', 'type', 'hamiltonian', 'we', 'show', 'that', 'as', 'compared', 'to', 'the', 'twodimensional', 'electron', 'gas', '2deg', 'snake', 'states', 'in', 'graphene', 'exibit', 'peculiar', 'properties', 'related', 'to', 'the', 'underlying', 'dynamics', 'of', 'the', 'dirac', 'fermions', 'the', 'current', 'carried', 'by', 'snake', 'states', 'is', 'locally', 'uncompensated', 'even', 'if', 'the', 'fermi', 'energy', 'lies', 'between', 'the', 'first', 'nonzero', 'energy', 'landau', 'levels', 'of', 'the', 'conduction', 'and', 'valence', 'bands', 'the', 'nature', 'of', 'these', 'states', 'is', 'studied', 'by', 'calculating', 'the', 'current', 'density', 'distribution', 'it', 'is', 'shown', 'that', 'besides', 'the', 'snake', 'states', 'in', 'finite', 'samples', 'surface', 'states', 'also', 'exist']] | [-0.1723161732054797, 0.25870940939748216, -0.05705715791061836, 0.08071779593000568, 0.02681295510768196, -0.09975506911464667, 0.06650198801712653, 0.3410774137098658, -0.28569622351580803, -0.2734255848562945, -0.007312572955832643, -0.285318760580178, -0.1191689503671191, 0.133590401986898, 0.030162203571585527, 0.008372004704265777, 0.04396193759650055, -0.028646352353616285, -0.06128634638113554, -0.1999937356035304, 0.3246768720890001, 0.041480757682821, 0.3383341151826336, 0.09098467258618102, 0.03436233133069729, -0.0017255358930708747, 0.11482434258480573, 0.044273374673231676, -0.11589834443268848, 0.05052542058806235, 0.23380891294455378, -0.09396717208042993, 0.21201314598763898, -0.4635576473990992, -0.21454141745975208, 0.005467650946229696, 0.13659482654203833, 0.13106307975348022, -0.0626366655776372, -0.29747293713814343, 0.06322100129515185, -0.12539696912833695, -0.18016912498890217, -0.06066262897723591, 0.0020089278015371225, -0.002179096024720219, -0.18581752851605415, 0.10959383766576293, 0.05488847550083646, -0.0032619824946238424, -0.11134281349013228, -0.11745679575823627, -0.1388677749269784, 0.07721481795774938, 0.03683023510196925, 0.022057606299976044, 0.14398647250481328, -0.16770385234948185, -0.11620489198525073, 0.37933650868550195, -0.0769985975772616, -0.20406648932593102, 0.19211184273679124, -0.20381204235975203, -0.048209685675397324, 0.15784321534763074, 0.09759024361748311, 0.08305461130546943, -0.11555486606393045, 0.13026839806640303, -0.058875882103289395, 0.1041602080735236, 0.054045929052567075, 0.044249870198763024, 0.26257068150029594, 0.10639186719061523, 0.09495984452729256, 0.13004133139018728, -0.1520787072446892, -0.07640024139427469, -0.2506152568937485, -0.1761750657805952, -0.2744916043366637, 0.08000765925557432, 0.016710665204423634, -0.17709666253851877, 0.4848060633324213, 0.10598973109450002, 0.1874227388683012, -0.06937424553818684, 0.24609444615573195, 0.18285734475475846, 0.02704322328633171, 0.11258148413025222, 0.2398083396058656, 0.18544112712192207, 0.0446523568766602, -0.2736500554034384, 0.013202270836237881, 0.02187843697532317] |
707.3975 | Peeling Bifurcations of Toroidal Chaotic Attractors | Chaotic attractors with toroidal topology (van der Pol attractor) have
counterparts with symmetry that exhibit unfamiliar phenomena. We investigate
double covers of toroidal attractors, discuss changes in their morphology under
correlated peeling bifurcations, describe their topological structures and the
changes undergone as a symmetry axis crosses the original attractor, and
indicate how the symbol name of a trajectory in the original lifts to one in
the cover. Covering orbits are described using a powerful synthesis of kneading
theory with refinements of the circle map. These methods are applied to a
simple version of the van der Pol oscillator.
| nlin.CD | chaotic attractors with toroidal topology van der pol attractor have counterparts with symmetry that exhibit unfamiliar phenomena we investigate double covers of toroidal attractors discuss changes in their morphology under correlated peeling bifurcations describe their topological structures and the changes undergone as a symmetry axis crosses the original attractor and indicate how the symbol name of a trajectory in the original lifts to one in the cover covering orbits are described using a powerful synthesis of kneading theory with refinements of the circle map these methods are applied to a simple version of the van der pol oscillator | [['chaotic', 'attractors', 'with', 'toroidal', 'topology', 'van', 'der', 'pol', 'attractor', 'have', 'counterparts', 'with', 'symmetry', 'that', 'exhibit', 'unfamiliar', 'phenomena', 'we', 'investigate', 'double', 'covers', 'of', 'toroidal', 'attractors', 'discuss', 'changes', 'in', 'their', 'morphology', 'under', 'correlated', 'peeling', 'bifurcations', 'describe', 'their', 'topological', 'structures', 'and', 'the', 'changes', 'undergone', 'as', 'a', 'symmetry', 'axis', 'crosses', 'the', 'original', 'attractor', 'and', 'indicate', 'how', 'the', 'symbol', 'name', 'of', 'a', 'trajectory', 'in', 'the', 'original', 'lifts', 'to', 'one', 'in', 'the', 'cover', 'covering', 'orbits', 'are', 'described', 'using', 'a', 'powerful', 'synthesis', 'of', 'kneading', 'theory', 'with', 'refinements', 'of', 'the', 'circle', 'map', 'these', 'methods', 'are', 'applied', 'to', 'a', 'simple', 'version', 'of', 'the', 'van', 'der', 'pol', 'oscillator']] | [-0.19712460802734963, 0.10531355012018158, -0.11116700528227554, 0.09484589694790085, -0.049771134922166865, -0.16308732125765588, 0.011945079400308659, 0.31371087185582336, -0.27716986040527725, -0.24128251374528117, 0.07887681892346021, -0.25812607865818604, -0.2423962980166686, 0.2066446120755115, -0.10441795384929496, 0.01883514811836031, 0.056957187406642705, -0.011957325710088243, -0.07544008395705866, -0.2238084386121862, 0.3040766787515687, 0.015412807445593027, 0.2260144969866592, -0.06772079965757795, 0.06755529520843102, -0.005885284764654174, 0.021916464935722097, 0.025329642206886594, -0.18570430254795628, 0.08507719830676976, 0.2014658906430538, 0.04569548080741827, 0.20985282276167858, -0.4164971381958042, -0.19074629011982103, 0.04949381928510812, 0.12519574848868484, 0.10905803834107153, -0.024053385785343696, -0.29194072114151653, 0.05521271011687587, -0.16579603677739066, -0.19732583187786595, -0.11399626441309418, 0.03533795577644998, 0.12516804858662037, -0.15341014050099314, 0.04861281433960005, 0.1163291970923619, 0.10523453838553051, -0.054809235352357585, -0.028027715693627085, -0.09147748547340077, 0.12209148625296788, 0.005297142888742442, 0.0031432994440606585, 0.1937879763082696, -0.09127277925572529, -0.145360269284408, 0.39244359919839367, -0.05069558851762998, -0.17279250742582491, 0.2109902904770451, -0.12726425740639774, -0.18346615915889947, 0.1549761159754149, 0.11907979451138906, 0.0380745441819142, -0.04166370799422872, 0.14592984957718208, 0.018567750496523722, 0.12719783979487054, 0.14787013464540774, 0.007521298253072464, 0.2293935688212514, 0.13130030639787985, 0.07173030506296806, 0.17851994638046137, -0.04960622878897251, -0.15496599397203903, -0.23506486320830122, -0.08439789287631913, -0.11932696553412825, 0.08409238807210813, -0.05957191491621898, -0.27252831316686105, 0.4558451716426988, 0.05802592951614333, 0.24063793337922923, -0.0027273309331539335, 0.1900006187176902, 0.06575495202203605, 0.05676453200297202, 0.03235117707886182, 0.2671159359493426, 0.16800392416248822, 0.11124322350773656, -0.2110823715813648, -0.00473415356946691, 0.1400862631877428] |
707.3976 | Spin transport in proximity induced ferromagnetic graphene | Magnetic gates in close proximity to graphene can induce ferromagnetic
correlations. We study the effect of such induced magnetization dependent
Zeeman splittings on the graphene transport properties. We estimate that
induced spin splittings of the order of \Delta ~ 5 meV could be achieved with
the use of magnetic insulator gates, e.g. EuO-gates, deposited on top of
graphene. We demonstrate that such splittings in proximity induced
ferromagnetic graphene could be determined directly from the tunneling
resonances in the linear response conductance, as the top gate creates also a
tunable barrier in the graphene layer. We show how such splittings could also
be determined independently by magnetoresistance measurements in a spin-valve
geometry. Because the spin polarization of the current near the Dirac point
increases with the length of the barrier, long magnetic gates are desirable for
determining \Delta experimentally.
| cond-mat.mes-hall | magnetic gates in close proximity to graphene can induce ferromagnetic correlations we study the effect of such induced magnetization dependent zeeman splittings on the graphene transport properties we estimate that induced spin splittings of the order of delta 5 mev could be achieved with the use of magnetic insulator gates eg euogates deposited on top of graphene we demonstrate that such splittings in proximity induced ferromagnetic graphene could be determined directly from the tunneling resonances in the linear response conductance as the top gate creates also a tunable barrier in the graphene layer we show how such splittings could also be determined independently by magnetoresistance measurements in a spinvalve geometry because the spin polarization of the current near the dirac point increases with the length of the barrier long magnetic gates are desirable for determining delta experimentally | [['magnetic', 'gates', 'in', 'close', 'proximity', 'to', 'graphene', 'can', 'induce', 'ferromagnetic', 'correlations', 'we', 'study', 'the', 'effect', 'of', 'such', 'induced', 'magnetization', 'dependent', 'zeeman', 'splittings', 'on', 'the', 'graphene', 'transport', 'properties', 'we', 'estimate', 'that', 'induced', 'spin', 'splittings', 'of', 'the', 'order', 'of', 'delta', '5', 'mev', 'could', 'be', 'achieved', 'with', 'the', 'use', 'of', 'magnetic', 'insulator', 'gates', 'eg', 'euogates', 'deposited', 'on', 'top', 'of', 'graphene', 'we', 'demonstrate', 'that', 'such', 'splittings', 'in', 'proximity', 'induced', 'ferromagnetic', 'graphene', 'could', 'be', 'determined', 'directly', 'from', 'the', 'tunneling', 'resonances', 'in', 'the', 'linear', 'response', 'conductance', 'as', 'the', 'top', 'gate', 'creates', 'also', 'a', 'tunable', 'barrier', 'in', 'the', 'graphene', 'layer', 'we', 'show', 'how', 'such', 'splittings', 'could', 'also', 'be', 'determined', 'independently', 'by', 'magnetoresistance', 'measurements', 'in', 'a', 'spinvalve', 'geometry', 'because', 'the', 'spin', 'polarization', 'of', 'the', 'current', 'near', 'the', 'dirac', 'point', 'increases', 'with', 'the', 'length', 'of', 'the', 'barrier', 'long', 'magnetic', 'gates', 'are', 'desirable', 'for', 'determining', 'delta', 'experimentally']] | [-0.19853257722056963, 0.239584637894843, 0.0026758781442528263, 0.04257655426558545, -0.04069596707332119, -0.14860750782056986, 0.07337963973130922, 0.43026488553732634, -0.3123950224253349, -0.3562108121045372, -0.038705182820729746, -0.2897052177200642, -0.13232771649842, 0.2289019972770749, 0.0357861693996443, 0.01098128963220755, 0.025073123306757386, -0.03789410035482005, -0.108050449666574, -0.1901936960125835, 0.28314877373700525, -0.009489132971365881, 0.26348922728999136, 0.14780176180476487, 0.03004623528378194, -0.004511110056602561, 0.14605844228679096, 0.04764505139867063, -0.1352046184034835, 0.0461624561524813, 0.20532937053426661, -0.14429170361665242, 0.15746745790067293, -0.4547123814768651, -0.14809719274532707, 0.021151459851192638, 0.12358116087200281, 0.17390093516544713, -0.05813332017928855, -0.3043397546143216, 0.09700718699091607, -0.120612773578614, -0.09006024185253088, -0.08389060480711873, -0.03305538382504464, 0.007894749541746397, -0.24404965389026878, 0.054359440262487624, 0.0639042694837211, 0.06745613676578026, -0.02629260321811992, -0.12232933872762848, -0.10869455826468766, 0.0854938077968922, 0.01667235079837744, 0.029336768128868082, 0.22989354330895687, -0.10461493182896554, -0.15425815737826803, 0.31589610878761637, -0.12114207816793009, -0.15671118020263214, 0.10510901743820046, -0.2036248141735354, -0.025898324256559135, 0.07823184632134679, 0.13566952841168078, 0.10488191508407266, -0.12811592333909014, 0.09471761097665876, 0.014113641398794511, 0.1628142602800354, 0.11326921018018551, 0.09249562230851392, 0.2775830012773547, 0.20203653677120148, 0.08825021735324032, 0.13715906204015482, -0.1689000343912459, -0.0004157601763247786, -0.23500773892053128, -0.15325363002279224, -0.2328431587717633, 0.1292362955469691, -0.046162732809213645, -0.19848069143378833, 0.4409663280855645, 0.1658513448680477, 0.2182807599687401, -0.09136832868748837, 0.2611827562316595, 0.15082695349359282, 0.1377136278520886, 0.009292344583253212, 0.27924379932365434, 0.2038511192855795, 0.05543594133290325, -0.3154585081313545, 0.10898889130433365, -0.03947723117958316] |
707.3977 | The worm-like chain model at small and large stretch | The relation between force and stretch in the worm-like chain model of
entropic elasticity is examined. Although no closed-form expression is valid
for all values of forcing, solutions in the form of asymptotic series can be
obtained under conditions of small and large applied force. The small and large
stretch limits correspond to regular and boundary layer perturbation problems,
respectively. The perturbation problems are solved and series solutions
obtained for force as a function of stretch. The form of the asymptotic series
suggest a uniform approximation valid for all stretch that is an improvement on
existing approximations.
| cond-mat.mtrl-sci | the relation between force and stretch in the wormlike chain model of entropic elasticity is examined although no closedform expression is valid for all values of forcing solutions in the form of asymptotic series can be obtained under conditions of small and large applied force the small and large stretch limits correspond to regular and boundary layer perturbation problems respectively the perturbation problems are solved and series solutions obtained for force as a function of stretch the form of the asymptotic series suggest a uniform approximation valid for all stretch that is an improvement on existing approximations | [['the', 'relation', 'between', 'force', 'and', 'stretch', 'in', 'the', 'wormlike', 'chain', 'model', 'of', 'entropic', 'elasticity', 'is', 'examined', 'although', 'no', 'closedform', 'expression', 'is', 'valid', 'for', 'all', 'values', 'of', 'forcing', 'solutions', 'in', 'the', 'form', 'of', 'asymptotic', 'series', 'can', 'be', 'obtained', 'under', 'conditions', 'of', 'small', 'and', 'large', 'applied', 'force', 'the', 'small', 'and', 'large', 'stretch', 'limits', 'correspond', 'to', 'regular', 'and', 'boundary', 'layer', 'perturbation', 'problems', 'respectively', 'the', 'perturbation', 'problems', 'are', 'solved', 'and', 'series', 'solutions', 'obtained', 'for', 'force', 'as', 'a', 'function', 'of', 'stretch', 'the', 'form', 'of', 'the', 'asymptotic', 'series', 'suggest', 'a', 'uniform', 'approximation', 'valid', 'for', 'all', 'stretch', 'that', 'is', 'an', 'improvement', 'on', 'existing', 'approximations']] | [-0.16805510830671824, 0.06903111335197967, -0.07457830032007289, 0.06533677088572, -0.04874536659827782, -0.11590484361711544, 0.023955291319523276, 0.3410504524471219, -0.2714216231186058, -0.2553555180640296, 0.1326241565690635, -0.25057118090311276, -0.13547753527299644, 0.2345650338534189, -0.004770241898590142, 0.07272942546054784, 0.05882172503979089, 0.03167781675445665, -0.04450520159455842, -0.19933837975769006, 0.2449196729204166, 0.002637468597650067, 0.3041825108422139, 0.03774418285447797, 0.09675576075066611, -0.025113827617330112, 0.023310684166925468, 0.0972670995121457, -0.16784917889920498, 0.09917675352357712, 0.20223158382877862, 0.046790104796245846, 0.23616025151358438, -0.47307304041364145, -0.18846064674447185, 0.07607048464826183, 0.13801677003214807, 0.11894065770560626, 0.025666604945484128, -0.19665364513039282, 0.07384454749450184, -0.14457438480992293, -0.13613266951990188, -0.10771556078101095, 0.058382734003448, 0.07325272455081805, -0.3425062778549864, 0.1411124129765235, 0.042397148235096146, 0.06246711878278821, -0.12935058219051085, -0.134502408161913, 0.04230541396002794, 0.14165631984120486, 0.10140870249537348, 0.021447025165057827, 0.07795602013597015, -0.14609039719360545, -0.019803052000010136, 0.38000896131408585, -0.1160369740568639, -0.24576773267892218, 0.14774027166254433, -0.09818963936443642, -0.11088061167080838, 0.14469187604935513, 0.13472153910810186, 0.12412008414640255, -0.14537038006003677, 0.11288568703157674, -0.009748405451675128, 0.14082301917879544, 0.15106516014112487, -0.020681378423217107, 0.12753028759598425, 0.1031128832489521, 0.1027580948700149, 0.1607710053008914, -0.03803309581612151, -0.11163054447928347, -0.342691578969513, -0.10445834799026399, -0.1938070325641749, 0.015023380333135269, -0.17468052682843055, -0.21655179203017472, 0.3073076403870238, 0.07700031528762788, 0.1948424039274147, 0.13256636956111365, 0.23417851048252863, 0.15923789207290703, 0.061136666718947213, 0.09015070867350268, 0.26282915822950376, 0.13877638855939442, 0.018497757868092393, -0.18926035074670752, 0.08195554450653571, 0.09322355822035946] |
707.3978 | M5-branes and Wilson Surfaces | We investigate the M5-brane description of the Wilson surface operators in
six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence.
We consider the Wilson surface operators in high-dimensional representation,
whose description could be M5-brane string soliton solutions in $AdS_7\times
S^4$ background. We construct such string soliton solutions from the covariant
M5-brane equations of motion and discuss their properties. The supersymmetry
analysis shows that these solutions are half-BPS. We also discuss the subtle
issue on the boundary terms.
| hep-th | we investigate the m5brane description of the wilson surface operators in sixdimensional 20 superconformal field theory from adscft correspondence we consider the wilson surface operators in highdimensional representation whose description could be m5brane string soliton solutions in ads_7times s4 background we construct such string soliton solutions from the covariant m5brane equations of motion and discuss their properties the supersymmetry analysis shows that these solutions are halfbps we also discuss the subtle issue on the boundary terms | [['we', 'investigate', 'the', 'm5brane', 'description', 'of', 'the', 'wilson', 'surface', 'operators', 'in', 'sixdimensional', '20', 'superconformal', 'field', 'theory', 'from', 'adscft', 'correspondence', 'we', 'consider', 'the', 'wilson', 'surface', 'operators', 'in', 'highdimensional', 'representation', 'whose', 'description', 'could', 'be', 'm5brane', 'string', 'soliton', 'solutions', 'in', 'ads_7times', 's4', 'background', 'we', 'construct', 'such', 'string', 'soliton', 'solutions', 'from', 'the', 'covariant', 'm5brane', 'equations', 'of', 'motion', 'and', 'discuss', 'their', 'properties', 'the', 'supersymmetry', 'analysis', 'shows', 'that', 'these', 'solutions', 'are', 'halfbps', 'we', 'also', 'discuss', 'the', 'subtle', 'issue', 'on', 'the', 'boundary', 'terms']] | [-0.1754051908960958, 0.10069834775487452, -0.08726105640495294, 0.13689394520693704, -0.09835739213801724, -0.11054459121078253, -0.04605892515055051, 0.33149334908414047, -0.17273106861026272, -0.24500238896028972, 0.12153722121729515, -0.30768113601094993, -0.23127354669237607, 0.10419283885704844, -0.11759011750722206, 0.051997287039595996, 0.03517551324177092, 0.05944857700715626, -0.14801978999687554, -0.20607493631235374, 0.3737146952495861, -0.06872630758995288, 0.28397789146555097, 0.08614558121189475, 0.07786781522200296, -0.025254958413394268, -0.0454313746641243, -0.020700496891023296, -0.17667355654674266, 0.1631171454638733, 0.24646666925400496, 0.10199122589792271, 0.024282135020353292, -0.49963136311424405, -0.2186178944294194, 0.05068069786495088, 0.20419855306451945, 0.1951921923135064, 0.010989297749658459, -0.30212485331943945, 0.02819541996148856, -0.1391320708207786, -0.19005865723930152, -0.12611038972758443, -0.022549693403753304, -0.07490219690493848, -0.1485208341925356, 0.052727621437378205, -0.016778803430497646, 0.04962675809541619, -0.1351908449953618, -0.029890047885649102, -0.07167649478345227, 0.03995421711404465, 0.1542533056727782, 0.05914761342328826, 0.12817042275626017, -0.2211523900960425, -0.13710842594522737, 0.3377011170316684, -0.10197483623204262, -0.27199981479268326, 0.12289365083224287, -0.1431618755787464, -0.16864596235590348, 0.07183123281050173, 0.12705968164128104, 0.1883002250259252, -0.14512467912496313, 0.24266226952328762, -0.04984117627578886, 0.11687157640086585, 0.17299069680494109, 0.05827950156220284, 0.30356059669467966, 0.10146888440450359, 0.041550905296677036, 0.15422661452229428, -0.015372044498738097, -0.12748818059672454, -0.44495413369057996, -0.11774527052981093, -0.037737106049653926, 0.13214492975691283, -0.1881771003274097, -0.204575361095761, 0.37419604725743594, 0.11948162786000849, 0.17805851522931143, 0.03166421934178001, 0.1363059251697881, 0.1283835649220763, 0.04899084715074614, 0.06989652324026745, 0.21620631704450047, 0.1679820530606728, 0.11237344224048827, -0.2767697135292876, -0.2108519370453187, 0.271167068962792] |
707.3979 | Clifford Algebra of the Vector Space of Conics for decision boundary
Hyperplanes in m-Euclidean Space | In this paper we embed $m$-dimensional Euclidean space in the geometric
algebra $Cl_m $ to extend the operators of incidence in ${R^m}$ to operators of
incidence in the geometric algebra to generalize the notion of separator to a
decision boundary hyperconic in the Clifford algebra of hyperconic sections
denoted as ${Cl}({Co}_{2})$. This allows us to extend the concept of a linear
perceptron or the spherical perceptron in conformal geometry and introduce the
more general conic perceptron, namely the {elliptical perceptron}. Using
Clifford duality a vector orthogonal to the decision boundary hyperplane is
determined. Experimental results are shown in 2-dimensional Euclidean space
where we separate data that are naturally separated by some typical plane conic
separators by this procedure. This procedure is more general in the sense that
it is independent of the dimension of the input data and hence we can speak of
the hyperconic elliptic perceptron.
| cs.NE cs.CG | in this paper we embed mdimensional euclidean space in the geometric algebra cl_m to extend the operators of incidence in rm to operators of incidence in the geometric algebra to generalize the notion of separator to a decision boundary hyperconic in the clifford algebra of hyperconic sections denoted as clco_2 this allows us to extend the concept of a linear perceptron or the spherical perceptron in conformal geometry and introduce the more general conic perceptron namely the elliptical perceptron using clifford duality a vector orthogonal to the decision boundary hyperplane is determined experimental results are shown in 2dimensional euclidean space where we separate data that are naturally separated by some typical plane conic separators by this procedure this procedure is more general in the sense that it is independent of the dimension of the input data and hence we can speak of the hyperconic elliptic perceptron | [['in', 'this', 'paper', 'we', 'embed', 'mdimensional', 'euclidean', 'space', 'in', 'the', 'geometric', 'algebra', 'cl_m', 'to', 'extend', 'the', 'operators', 'of', 'incidence', 'in', 'rm', 'to', 'operators', 'of', 'incidence', 'in', 'the', 'geometric', 'algebra', 'to', 'generalize', 'the', 'notion', 'of', 'separator', 'to', 'a', 'decision', 'boundary', 'hyperconic', 'in', 'the', 'clifford', 'algebra', 'of', 'hyperconic', 'sections', 'denoted', 'as', 'clco_2', 'this', 'allows', 'us', 'to', 'extend', 'the', 'concept', 'of', 'a', 'linear', 'perceptron', 'or', 'the', 'spherical', 'perceptron', 'in', 'conformal', 'geometry', 'and', 'introduce', 'the', 'more', 'general', 'conic', 'perceptron', 'namely', 'the', 'elliptical', 'perceptron', 'using', 'clifford', 'duality', 'a', 'vector', 'orthogonal', 'to', 'the', 'decision', 'boundary', 'hyperplane', 'is', 'determined', 'experimental', 'results', 'are', 'shown', 'in', '2dimensional', 'euclidean', 'space', 'where', 'we', 'separate', 'data', 'that', 'are', 'naturally', 'separated', 'by', 'some', 'typical', 'plane', 'conic', 'separators', 'by', 'this', 'procedure', 'this', 'procedure', 'is', 'more', 'general', 'in', 'the', 'sense', 'that', 'it', 'is', 'independent', 'of', 'the', 'dimension', 'of', 'the', 'input', 'data', 'and', 'hence', 'we', 'can', 'speak', 'of', 'the', 'hyperconic', 'elliptic', 'perceptron']] | [-0.10356650963836324, 0.08006793985906471, -0.08351556277678658, 0.06856514382606191, -0.14347265454772343, -0.14614194027833743, -0.007326436616292792, 0.3574349687243941, -0.3155339801515866, -0.21980177011573687, 0.10152765294737441, -0.24291333306700835, -0.18401258506896234, 0.16192769302061708, -0.1583789369198914, 0.062514655793671, 0.015394495657852126, 0.06755532460617057, -0.1158252200726161, -0.2735770000581397, 0.40981858492725426, 0.0013546049788904686, 0.2542478544831586, -0.02286459333522038, 0.08948427339944626, 0.08454676245067579, -0.004625765296320121, 0.03499056965382705, -0.1117742265993608, 0.16155152374671566, 0.30520967525242465, 0.13710976333858424, 0.21485467336606234, -0.3962378721464322, -0.1438379341788176, 0.11943462795978929, 0.13695333546153657, 0.05000152188919552, 0.026102809779331437, -0.25676260713306776, 0.0777315173343393, -0.11082655046549109, -0.14053748230637414, -0.056065710153941635, -0.019101326036939606, -0.05180456990557206, -0.25781273217742434, -0.001654043829249632, 0.10350254740317016, 0.05959759023001728, -0.06300762525885754, -0.06856407173876909, -0.048825886742431775, 0.038961784433114294, -0.04201293066176327, 0.0679439306986751, 0.10027821241722752, -0.05237420841715195, -0.15722501104028197, 0.34635860089717124, -0.014080534019740298, -0.27874411854423264, 0.11360024566399968, -0.1660424528656424, -0.13383632367832535, 0.08588234442544894, 0.2099474611912026, 0.13307591627946952, -0.10289424353686627, 0.13083685818047444, -0.12078673182501613, 0.07104662799328151, 0.08698251666889216, -0.03162426986495524, 0.11128395811990938, 0.15183118824643316, 0.07923191838846025, 0.1895873694657995, -0.05060129785366977, -0.09928730485909101, -0.33542750836608726, -0.18727162589008609, -0.13058978067339114, 0.04839962432419674, -0.14402323380454618, -0.1853916798336286, 0.376348194530389, 0.12194484453630139, 0.2359472433066306, 0.07068786444465837, 0.2674497110549257, 0.0880211439289269, 0.11645418093879319, 0.08579088495106488, 0.222226590860171, 0.19812700866734506, 0.0600941936839566, -0.12614260766713414, -0.001909472872891153, 0.13245773382691872] |
707.398 | Deep Chandra and multicolor HST observations of the jets of 3C 371 and
PKS 2201+044 | This paper presents multiwavelength imaging and broad-band spectroscopy of
the relativistic jets in the two nearby radio galaxies 3C 371 and PKS 2201+044,
acquired with Chandra, HST, VLA, and Merlin. Radio polarization images are also
available. The two sources stand out as "intermediate'' between FRIs and FRIIs;
their cores are classified as BL Lacs, although broad and narrow optical
emission lines were detected at times. The multiwavelength images show jet
morphologies with the X-ray emission peaking closer to the nucleus than the
longer wavelengths. The jets are resolved at all wavelengths in a direction
perpendicular to the jet axis. The jets SEDs are consistent with a single
spectral component from radio to X-rays, interpreted as synchrotron emission.
The SEDs show a progressive softening from the inner to the outer regions of
the jet, indicating that the electron break energy moves to lower energies with
distance from the core. Overall, the X-ray and multiwavelength properties of
the jets of 3C 371 and PKS 2201+044 appear intermediate between those of FRIs
and FRIIs.
| astro-ph | this paper presents multiwavelength imaging and broadband spectroscopy of the relativistic jets in the two nearby radio galaxies 3c 371 and pks 2201044 acquired with chandra hst vla and merlin radio polarization images are also available the two sources stand out as intermediate between fris and friis their cores are classified as bl lacs although broad and narrow optical emission lines were detected at times the multiwavelength images show jet morphologies with the xray emission peaking closer to the nucleus than the longer wavelengths the jets are resolved at all wavelengths in a direction perpendicular to the jet axis the jets seds are consistent with a single spectral component from radio to xrays interpreted as synchrotron emission the seds show a progressive softening from the inner to the outer regions of the jet indicating that the electron break energy moves to lower energies with distance from the core overall the xray and multiwavelength properties of the jets of 3c 371 and pks 2201044 appear intermediate between those of fris and friis | [['this', 'paper', 'presents', 'multiwavelength', 'imaging', 'and', 'broadband', 'spectroscopy', 'of', 'the', 'relativistic', 'jets', 'in', 'the', 'two', 'nearby', 'radio', 'galaxies', '3c', '371', 'and', 'pks', '2201044', 'acquired', 'with', 'chandra', 'hst', 'vla', 'and', 'merlin', 'radio', 'polarization', 'images', 'are', 'also', 'available', 'the', 'two', 'sources', 'stand', 'out', 'as', 'intermediate', 'between', 'fris', 'and', 'friis', 'their', 'cores', 'are', 'classified', 'as', 'bl', 'lacs', 'although', 'broad', 'and', 'narrow', 'optical', 'emission', 'lines', 'were', 'detected', 'at', 'times', 'the', 'multiwavelength', 'images', 'show', 'jet', 'morphologies', 'with', 'the', 'xray', 'emission', 'peaking', 'closer', 'to', 'the', 'nucleus', 'than', 'the', 'longer', 'wavelengths', 'the', 'jets', 'are', 'resolved', 'at', 'all', 'wavelengths', 'in', 'a', 'direction', 'perpendicular', 'to', 'the', 'jet', 'axis', 'the', 'jets', 'seds', 'are', 'consistent', 'with', 'a', 'single', 'spectral', 'component', 'from', 'radio', 'to', 'xrays', 'interpreted', 'as', 'synchrotron', 'emission', 'the', 'seds', 'show', 'a', 'progressive', 'softening', 'from', 'the', 'inner', 'to', 'the', 'outer', 'regions', 'of', 'the', 'jet', 'indicating', 'that', 'the', 'electron', 'break', 'energy', 'moves', 'to', 'lower', 'energies', 'with', 'distance', 'from', 'the', 'core', 'overall', 'the', 'xray', 'and', 'multiwavelength', 'properties', 'of', 'the', 'jets', 'of', '3c', '371', 'and', 'pks', '2201044', 'appear', 'intermediate', 'between', 'those', 'of', 'fris', 'and', 'friis']] | [-0.031584020605997035, 0.10107358023714906, -0.0725079030560994, 0.12800776855121448, -0.11990225632070449, -0.10955141173071113, -0.0005284306145278596, 0.5774211685734185, -0.16807865770261365, -0.3422344974323846, 0.04073940781190207, -0.3037526994529698, 0.07488090616285975, 0.19426672916882534, 0.03393083791744116, -0.0701664226968386, 0.0513854838896826, -0.19453914246483767, -0.017921437567905985, -0.1330851999857621, 0.25112488976957503, 0.11970340094000798, 0.21971995063801433, -0.0251070963380411, 0.06845057686540293, -0.09467279735260932, -0.08072372805327177, -0.0393663753662803, -0.043346127754763895, 0.06675520699950513, 0.2574298992720351, 0.06055339022773748, 0.17413905193336165, -0.3328366480462732, -0.21340411001467827, 0.033569763452686065, 0.1845548768631286, -0.028228254128269285, 0.02508213612106656, -0.2926915389382177, 0.06598006181380771, -0.16381257720160902, -0.16508994569010726, 0.1305572858814842, 0.009543592701203118, 0.03383723099590742, -0.17104581562932908, 0.1534344341743081, -0.035285533263555005, 0.1026244033774775, -0.16343070964236356, -0.07943626691189687, -0.1159510322742992, 0.061935466531751276, 0.07683337203428497, 0.0875008702223674, 0.17642800119972368, -0.14897791352918485, -0.14513680802886947, 0.3800602797963466, 0.03336732891202381, 0.0791407979497882, 0.26249733448031287, -0.25297415258678774, -0.216105345072911, 0.23418633085648305, 0.13548661373032814, 0.11865532744610519, -0.09642336473729439, -0.05865717880776403, -0.03294929085647938, 0.21419910472213177, 0.05442308683536554, 0.14162388840848197, 0.3151361343317409, 0.03868656078277276, -0.012241132056329682, 0.19019912386058466, -0.3186310397737458, 0.048931986014549324, -0.27785859873507457, -0.04786814818273119, -0.1349440241696814, 0.13353364806954493, -0.11375197183751985, -0.07697481190621014, 0.39721194203746946, 0.02461962984624313, 0.22798672561909547, 0.0531655408616303, 0.343338121763534, 0.03725223837499316, 0.09698481307288752, 0.20689172678414666, 0.3759296522720864, 0.1352684176894591, 0.15189495590128746, -0.1855652102674984, 0.0024635641973830584, -0.026296725891508728] |
707.3981 | Representations of Clifford algebras with hyperbolic numbers | The representations of Clifford algebras and their involutions and
anti-involutions are fully investigated since decades. However, these
representations do sometimes not comply with usual conventions within physics.
A few simple examples are presented, which point out that the hyperbolic
numbers can close this gap.
| math-ph gr-qc hep-th math.MP | the representations of clifford algebras and their involutions and antiinvolutions are fully investigated since decades however these representations do sometimes not comply with usual conventions within physics a few simple examples are presented which point out that the hyperbolic numbers can close this gap | [['the', 'representations', 'of', 'clifford', 'algebras', 'and', 'their', 'involutions', 'and', 'antiinvolutions', 'are', 'fully', 'investigated', 'since', 'decades', 'however', 'these', 'representations', 'do', 'sometimes', 'not', 'comply', 'with', 'usual', 'conventions', 'within', 'physics', 'a', 'few', 'simple', 'examples', 'are', 'presented', 'which', 'point', 'out', 'that', 'the', 'hyperbolic', 'numbers', 'can', 'close', 'this', 'gap']] | [-0.1052503527819433, 0.16012413340715945, -0.06189817198636857, 0.1276357804970096, -0.123619555326348, -0.16560332308819686, 0.026641324321231383, 0.42141649237071926, -0.32766212666915223, -0.3042821946807883, 0.13606420155106622, -0.26448280935768376, -0.15921517287973652, 0.20836235263480127, -0.10821879782650451, 0.019346437289972197, 0.07506703450979496, 0.06863962113857269, -0.1644860057700002, -0.2749976471320472, 0.33231747641482134, 0.005985684063158591, 0.24872149599038743, 0.010107836294495924, 0.05099740086800673, -0.07605153588916767, -0.03801303877579895, -0.009112202901054512, -0.0656845043262861, 0.09418152797628533, 0.3292446891057559, 0.046056706056168135, 0.23083982084327462, -0.4410459617660804, -0.18167205074463377, 0.12316966869614342, 0.18580175349912184, 0.051092866704989734, -0.053864190270277584, -0.26626939921301196, 0.06631018067921766, -0.190662537955425, -0.0872134345752949, -0.1475193324731663, -0.0037840316495434804, 0.016555435603632675, -0.13507137954531406, 0.018250240954909135, 0.08772443429651586, 0.11040307676673612, -0.002838823753832416, -0.1444076307710599, -0.049628500413911585, 0.13074072859969668, -0.0037379274673929267, -0.06541240018982948, 0.08374499158129435, -0.08191891164328395, -0.15892130341804164, 0.3982448347590186, 0.11553103313781321, -0.25505796165882866, 0.22307439154246822, -0.1809843039478768, -0.1517196257641031, 0.10330846012485298, 0.06481996632646769, 0.0937819008673118, -0.14130938751623034, 0.09368752791620368, -0.10621339503929696, 0.10863916465644831, 0.0767568304171701, 0.0010941849957982247, 0.2360902023078366, 0.051773659800263966, -0.028370666471098295, 0.00034918085756626994, 0.06008162651877766, -0.14070104460485958, -0.35818895426663483, -0.09970449271019209, -0.10849096807016229, 0.05624736255512372, -0.010356536261414558, -0.18597569152585824, 0.395493155810982, 0.12388618600512431, 0.18125986990476536, 0.08842997323054905, 0.21931571132418784, 0.07748517208462792, 0.16345956159057096, 0.1016500624193048, 0.25041839184070175, 0.13728203414939344, 0.05046414161651311, -0.04910027187063613, 0.0008100525751201944, 0.08482706250453537] |
707.3982 | Interpretations for the X(4160) observed in the double charm production
at B factories | Belle Collaboration has recently observed a new state, the X(4160), in the
process of double charm production $e^+e^-\to J/\psi+X(4160)$ followed by
$X(4160)\to D^*\bar{D^*}$. We discuss possible interpretations for the X(4160)
based on the NRQCD calculations and the potential model estimates for the
charmonium spectrum. We first focus on the D-wave spin-singlet $2^{-+}$
charmonium $^1D_2(2D)$, which is estimated to have a small production rate of
about 5% of that for $e^+e^-\to J/\psi+\eta_c(1S)$, and therefore is
incompatible with the observed data for X(4160). We then discuss the
possibility that the X(4160) is the known $J^{PC}=1^{--}$ charmonium state
$\psi(4160)$, which can be produced via two photon fragmentation, but the
production rate is much smaller than observed for $e^+e^-\to J/\psi+X(4160)$.
In contrast to above two possibilities, the $\eta_c(4S)$ assignment is a likely
one, which is supported by the observed relatively large production rate and
non-observation of $D\bar D$ decay of X(4160), but we have to understand why
$\eta_c(4S)$ has such a low mass, which deserves further studies. The P-wave
excited state $\chi_{c0}(3P)$ is also an interesting candidate, if the observed
broad peak around 3.8-3.9 GeV in the recoil mass of $D\bar D$ against $J/\psi$
in $e^++e^-\to J/\psi+D\bar D$ is due to the $\chi_{c0}(2P)$ state.
Measurements of production angular distributions will be helpful to distinguish
between $\eta_c(4S)$ and $\chi_{c0}(3P)$ assignments. Production mechanisms in
nonrelativistic QCD are emphasized.
| hep-ph hep-ex | belle collaboration has recently observed a new state the x4160 in the process of double charm production eeto jpsix4160 followed by x4160to dbard we discuss possible interpretations for the x4160 based on the nrqcd calculations and the potential model estimates for the charmonium spectrum we first focus on the dwave spinsinglet 2 charmonium 1d_22d which is estimated to have a small production rate of about 5 of that for eeto jpsieta_c1s and therefore is incompatible with the observed data for x4160 we then discuss the possibility that the x4160 is the known jpc1 charmonium state psi4160 which can be produced via two photon fragmentation but the production rate is much smaller than observed for eeto jpsix4160 in contrast to above two possibilities the eta_c4s assignment is a likely one which is supported by the observed relatively large production rate and nonobservation of dbar d decay of x4160 but we have to understand why eta_c4s has such a low mass which deserves further studies the pwave excited state chi_c03p is also an interesting candidate if the observed broad peak around 3839 gev in the recoil mass of dbar d against jpsi in eeto jpsidbar d is due to the chi_c02p state measurements of production angular distributions will be helpful to distinguish between eta_c4s and chi_c03p assignments production mechanisms in nonrelativistic qcd are emphasized | [['belle', 'collaboration', 'has', 'recently', 'observed', 'a', 'new', 'state', 'the', 'x4160', 'in', 'the', 'process', 'of', 'double', 'charm', 'production', 'eeto', 'jpsix4160', 'followed', 'by', 'x4160to', 'dbard', 'we', 'discuss', 'possible', 'interpretations', 'for', 'the', 'x4160', 'based', 'on', 'the', 'nrqcd', 'calculations', 'and', 'the', 'potential', 'model', 'estimates', 'for', 'the', 'charmonium', 'spectrum', 'we', 'first', 'focus', 'on', 'the', 'dwave', 'spinsinglet', '2', 'charmonium', '1d_22d', 'which', 'is', 'estimated', 'to', 'have', 'a', 'small', 'production', 'rate', 'of', 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707.3983 | Signatures of gravitational fixed points at the LHC | We study quantum-gravitational signatures at the Large Hadron Collider (LHC)
in the context of theories with extra spatial dimensions and a low fundamental
Planck scale in the TeV range. Implications of a gravitational fixed point at
high energies are worked out using Wilson's renormalisation group. We find that
relevant cross-sections involving virtual gravitons become finite. Based on
gravitational lepton pair production we conclude that the LHC is sensitive to a
fundamental Planck scale of up to 6 TeV.
| hep-ph gr-qc hep-th | we study quantumgravitational signatures at the large hadron collider lhc in the context of theories with extra spatial dimensions and a low fundamental planck scale in the tev range implications of a gravitational fixed point at high energies are worked out using wilsons renormalisation group we find that relevant crosssections involving virtual gravitons become finite based on gravitational lepton pair production we conclude that the lhc is sensitive to a fundamental planck scale of up to 6 tev | [['we', 'study', 'quantumgravitational', 'signatures', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'in', 'the', 'context', 'of', 'theories', 'with', 'extra', 'spatial', 'dimensions', 'and', 'a', 'low', 'fundamental', 'planck', 'scale', 'in', 'the', 'tev', 'range', 'implications', 'of', 'a', 'gravitational', 'fixed', 'point', 'at', 'high', 'energies', 'are', 'worked', 'out', 'using', 'wilsons', 'renormalisation', 'group', 'we', 'find', 'that', 'relevant', 'crosssections', 'involving', 'virtual', 'gravitons', 'become', 'finite', 'based', 'on', 'gravitational', 'lepton', 'pair', 'production', 'we', 'conclude', 'that', 'the', 'lhc', 'is', 'sensitive', 'to', 'a', 'fundamental', 'planck', 'scale', 'of', 'up', 'to', '6', 'tev']] | [-0.10393828189131828, 0.256147111276499, -0.08970835941055647, 0.17570547552522606, -0.07647753893457448, -0.13817906533129132, -0.015567794648142388, 0.30558605718975645, -0.2027425025888265, -0.29274937584518623, 0.05055551347024261, -0.29909876049854434, -0.01695943912730003, 0.19242345899916613, 0.09900489587408419, 0.08348526143639062, 0.05322399739032754, -0.013553955502664814, -0.06186740604850153, -0.2560202671179118, 0.34591607313650924, 0.15425984186526293, 0.21727182819412497, 0.15907117342636085, 0.13610111167415595, -0.0027087905760615682, -0.08556834341083558, -0.0018415210876040733, -0.09961750919617958, 0.08755993106378576, 0.25212146056732404, 0.03931754451836101, 0.18055948476569775, -0.3676941181377818, -0.1590644040455421, 0.12139472096131589, 0.12130221291683996, 0.14433389433767074, -0.06672281621006103, -0.2741844135885819, 0.1519284941530667, -0.23508035051278198, -0.16638311711498177, -0.0348839862510944, 0.014471746360262236, -0.0966480083268088, -0.23914225244870743, 0.06308396000904629, -0.13279558300303343, 0.08171399066953036, 0.0019688299373508645, -0.1421424210167084, -0.03411003820395145, 0.017594394118835528, 0.10780328191303386, 0.011468508504689313, 0.18561718091726875, -0.1653435445474222, -0.16695087247241575, 0.4115194647740095, -0.06752321986147226, -0.1290713883458804, 0.23747114610906023, -0.23333480271200338, -0.24833001564734447, 0.11410088956547089, 0.23075778354541399, 0.059939914812835365, -0.12673589556167522, 0.1901849624726963, 0.0013031093821598168, 0.18539372664310624, 0.12234327121255681, 0.08123399619347392, 0.29019940332196154, 0.1944449084619872, 0.06198300153781206, 0.0662272601770476, -0.10406209376509278, -0.05675197918063555, -0.47804625590260214, -0.07009903519438246, -0.10934690978879538, 0.08900017659508218, -0.12462457025237829, -0.06513117438850877, 0.32826784232822365, 0.1599543777664598, 0.2579635743332358, 0.018314969821427114, 0.2369086311604732, 0.0906141605317736, 0.10061692489342441, 0.059627189686580095, 0.2966358673412544, 0.0874217091462551, 0.14050178656067985, -0.20814382831136194, -0.10593467861270675, 0.09300460967306907] |
707.3984 | Coarse-Grained Finite-Temperature Theory for the Condensate in Optical
Lattices | In this work, we derive a coarse-grained finite-temperature theory for a Bose
condensate in a one-dimensional optical lattice, in addition to a confining
harmonic trap potential. We start from a two-particle irreducible (2PI)
effective action on the Schwinger-Keldysh closed-time contour path. In
principle, this action involves all information of equilibrium and
non-equilibrium properties of the condensate and noncondensate atoms. By
assuming an ansatz for the variational function, i.e., the condensate order
parameter in an effective action, we derive a coarse-grained effective action,
which describes the dynamics on the length scale much longer than a lattice
constant. Using the variational principle, coarse-grained equations of motion
for the condensate variables are obtained. These equations include a
dissipative term due to collisions between condensate and noncondensate atoms,
as well as noncondensate mean-field. To illustrate the usefulness of our
formalism, we discuss a Landau instability of the condensate in optical
lattices by using the coarse-grained generalized Gross-Pitaevskii
hydrodynamics. We found that the collisional damping rate due to collisions
between the condensate and noncondensate atoms changes sign when the condensate
velocity exceeds a renormalized sound velocity, leading to a Landau instability
consistent with the Landau criterion. Our results in this work give an insight
into the microscopic origin of the Landau instability.
| cond-mat.other | in this work we derive a coarsegrained finitetemperature theory for a bose condensate in a onedimensional optical lattice in addition to a confining harmonic trap potential we start from a twoparticle irreducible 2pi effective action on the schwingerkeldysh closedtime contour path in principle this action involves all information of equilibrium and nonequilibrium properties of the condensate and noncondensate atoms by assuming an ansatz for the variational function ie the condensate order parameter in an effective action we derive a coarsegrained effective action which describes the dynamics on the length scale much longer than a lattice constant using the variational principle coarsegrained equations of motion for the condensate variables are obtained these equations include a dissipative term due to collisions between condensate and noncondensate atoms as well as noncondensate meanfield to illustrate the usefulness of our formalism we discuss a landau instability of the condensate in optical lattices by using the coarsegrained generalized grosspitaevskii hydrodynamics we found that the collisional damping rate due to collisions between the condensate and noncondensate atoms changes sign when the condensate velocity exceeds a renormalized sound velocity leading to a landau instability consistent with the landau criterion our results in this work give an insight into the microscopic origin of the landau instability | [['in', 'this', 'work', 'we', 'derive', 'a', 'coarsegrained', 'finitetemperature', 'theory', 'for', 'a', 'bose', 'condensate', 'in', 'a', 'onedimensional', 'optical', 'lattice', 'in', 'addition', 'to', 'a', 'confining', 'harmonic', 'trap', 'potential', 'we', 'start', 'from', 'a', 'twoparticle', 'irreducible', '2pi', 'effective', 'action', 'on', 'the', 'schwingerkeldysh', 'closedtime', 'contour', 'path', 'in', 'principle', 'this', 'action', 'involves', 'all', 'information', 'of', 'equilibrium', 'and', 'nonequilibrium', 'properties', 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707.3985 | Direct Observation of Second Order Atom Tunnelling | Tunnelling of material particles through a classically impenetrable barrier
constitutes one of the hallmark effects of quantum physics. When interactions
between the particles compete with their mobility through a tunnel junction,
intriguing novel dynamical behaviour can arise where particles do not tunnel
independently. In single-electron or Bloch transistors, for example, the
tunnelling of an electron or Cooper pair can be enabled or suppressed by the
presence of a second charge carrier due to Coulomb blockade. Here we report on
the first direct and time-resolved observation of correlated tunnelling of two
interacting atoms through a barrier in a double well potential. We show that
for weak interactions between the atoms and dominating tunnel coupling,
individual atoms can tunnel independently, similar to the case in a normal
Josephson junction. With strong repulsive interactions present, two atoms
located on one side of the barrier cannot separate, but are observed to tunnel
together as a pair in a second order co-tunnelling process. By recording both
the atom position and phase coherence over time, we fully characterize the
tunnelling process for a single atom as well as the correlated dynamics of a
pair of atoms for weak and strong interactions. In addition, we identify a
conditional tunnelling regime, where a single atom can only tunnel in the
presence of a second particle, acting as a single atom switch. Our work
constitutes the first direct observation of second order tunnelling events with
ultracold atoms, which are the dominating dynamical effect in the strongly
interacting regime. Similar second-order processes form the basis of
superexchange interactions between atoms on neighbouring lattice sites of a
periodic potential, a central component of quantum magnetism.
| cond-mat.other quant-ph | tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics when interactions between the particles compete with their mobility through a tunnel junction intriguing novel dynamical behaviour can arise where particles do not tunnel independently in singleelectron or bloch transistors for example the tunnelling of an electron or cooper pair can be enabled or suppressed by the presence of a second charge carrier due to coulomb blockade here we report on the first direct and timeresolved observation of correlated tunnelling of two interacting atoms through a barrier in a double well potential we show that for weak interactions between the atoms and dominating tunnel coupling individual atoms can tunnel independently similar to the case in a normal josephson junction with strong repulsive interactions present two atoms located on one side of the barrier cannot separate but are observed to tunnel together as a pair in a second order cotunnelling process by recording both the atom position and phase coherence over time we fully characterize the tunnelling process for a single atom as well as the correlated dynamics of a pair of atoms for weak and strong interactions in addition we identify a conditional tunnelling regime where a single atom can only tunnel in the presence of a second particle acting as a single atom switch our work constitutes the first direct observation of second order tunnelling events with ultracold atoms which are the dominating dynamical effect in the strongly interacting regime similar secondorder processes form the basis of superexchange interactions between atoms on neighbouring lattice sites of a periodic potential a central component of quantum magnetism | [['tunnelling', 'of', 'material', 'particles', 'through', 'a', 'classically', 'impenetrable', 'barrier', 'constitutes', 'one', 'of', 'the', 'hallmark', 'effects', 'of', 'quantum', 'physics', 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707.3986 | Mixed States Markov Random Fields with Symbolic Labels and
Multidimensional Real Values | New theoretical results are presented here on the recently introduced model
called mixed states MRF. Such models were introduced in the context of image
motion analysis and are useful to represent information which can take both
discrete values accounting for symbolic states, and real values corresponding
to continuous measurements. In particular, results are given when the global
energy for the Gibbs formulation expressing the mixed states model, can be
decomposed into one term accounting for the discrete part of the model, and a
second term related to the continuous part. This decomposition theorem permits
to define conditional mixed states models in a very simple way.
| math.PR | new theoretical results are presented here on the recently introduced model called mixed states mrf such models were introduced in the context of image motion analysis and are useful to represent information which can take both discrete values accounting for symbolic states and real values corresponding to continuous measurements in particular results are given when the global energy for the gibbs formulation expressing the mixed states model can be decomposed into one term accounting for the discrete part of the model and a second term related to the continuous part this decomposition theorem permits to define conditional mixed states models in a very simple way | [['new', 'theoretical', 'results', 'are', 'presented', 'here', 'on', 'the', 'recently', 'introduced', 'model', 'called', 'mixed', 'states', 'mrf', 'such', 'models', 'were', 'introduced', 'in', 'the', 'context', 'of', 'image', 'motion', 'analysis', 'and', 'are', 'useful', 'to', 'represent', 'information', 'which', 'can', 'take', 'both', 'discrete', 'values', 'accounting', 'for', 'symbolic', 'states', 'and', 'real', 'values', 'corresponding', 'to', 'continuous', 'measurements', 'in', 'particular', 'results', 'are', 'given', 'when', 'the', 'global', 'energy', 'for', 'the', 'gibbs', 'formulation', 'expressing', 'the', 'mixed', 'states', 'model', 'can', 'be', 'decomposed', 'into', 'one', 'term', 'accounting', 'for', 'the', 'discrete', 'part', 'of', 'the', 'model', 'and', 'a', 'second', 'term', 'related', 'to', 'the', 'continuous', 'part', 'this', 'decomposition', 'theorem', 'permits', 'to', 'define', 'conditional', 'mixed', 'states', 'models', 'in', 'a', 'very', 'simple', 'way']] | [-0.041045349472690194, 0.11454486031462216, -0.1071715832599217, 0.09204550998706726, -0.06717421410250522, -0.12968506899972757, -0.00460239241919702, 0.33066219817847015, -0.2988594132165114, -0.30174261434447197, 0.11193081553071915, -0.22481023528435756, -0.13126867149202598, 0.18015394888463473, -0.06830934336675065, 0.061269027657995356, 0.06495253460126973, 0.03212507266019072, -0.03855083470365831, -0.19439929925969668, 0.30294581773203044, -0.009464761113659258, 0.26580399159075957, 0.041759996195988996, 0.11448373622039244, 0.023764437829543437, -0.04952744770174225, 0.04055039378415261, -0.0948537187606451, 0.14976494609200883, 0.2467669530847204, 0.10792864526045465, 0.2654185380298822, -0.4337001967288199, -0.2475972021619479, 0.13491217795471172, 0.0767157931457318, 0.13178883516340562, -0.008460945969757935, -0.31424833644358885, 0.08683400948842367, -0.1561481037221494, -0.07953412144311837, -0.16077347548153262, -0.003189473169013148, -0.023530422217611757, -0.31759675207237403, 0.09319222351713549, 0.0681039114654552, 0.002987404894970712, -0.1467643853276968, -0.13884578745457388, -0.03626964964149963, 0.14537860910280698, 0.0033551057323902137, -3.734576582376446e-05, 0.0487190036014432, -0.11189541779015036, -0.1279768791315811, 0.3720498303217547, -0.06883799934183203, -0.26345253363251686, 0.1663706996965976, -0.0741561947124345, -0.17530494859176024, 0.0725069312112672, 0.19387673850038223, 0.1208664376066909, -0.13843789363925765, 0.061141095707924774, -0.045141868133630074, 0.13083034641153757, 0.01419705339441342, 0.037932146486959285, 0.18873756283095905, 0.11120253423051465, 0.02678517600565794, 0.17621072321309753, -0.0747973683473122, -0.17284588861678327, -0.3227117019040244, -0.1488254846827615, -0.18453509266532603, -0.020513122434550453, -0.056909650421862135, -0.15955365882920367, 0.4366386996493453, 0.11470272088245977, 0.20152862264020813, 0.06349350667802528, 0.2750929914437057, 0.19230130219809888, 0.05982802887668922, 0.04050954172299022, 0.17459102668577717, 0.1539294628714699, 0.061867843803373124, -0.13670184943808375, 0.08171608541160821, 0.09400710684823849] |
707.3987 | Controlling passively-quenched single photon detectors by bright light | Single photon detectors based on passively-quenched avalanche photodiodes can
be temporarily blinded by relatively bright light, of intensity less than a
nanowatt. I describe a bright-light regime suitable for attacking a quantum key
distribution system containing such detectors. In this regime, all single
photon detectors in the receiver Bob are uniformly blinded by continuous
illumination coming from the eavesdropper Eve. When Eve needs a certain
detector in Bob to produce a click, she modifies polarization (or other
parameter used to encode quantum states) of the light she sends to Bob such
that the target detector stops receiving light while the other detector(s)
continue to be illuminated. The target detector regains single photon
sensitivity and, when Eve modifies the polarization again, produces a single
click. Thus, Eve has full control of Bob and can do a successful
intercept-resend attack. To check the feasibility of the attack, 3 different
models of passively-quenched detectors have been tested. In the experiment, I
have simulated the intensity diagrams the detectors would receive in a real
quantum key distribution system under attack. Control parameters and side
effects are considered. It appears that the attack could be practically
possible.
| quant-ph | single photon detectors based on passivelyquenched avalanche photodiodes can be temporarily blinded by relatively bright light of intensity less than a nanowatt i describe a brightlight regime suitable for attacking a quantum key distribution system containing such detectors in this regime all single photon detectors in the receiver bob are uniformly blinded by continuous illumination coming from the eavesdropper eve when eve needs a certain detector in bob to produce a click she modifies polarization or other parameter used to encode quantum states of the light she sends to bob such that the target detector stops receiving light while the other detectors continue to be illuminated the target detector regains single photon sensitivity and when eve modifies the polarization again produces a single click thus eve has full control of bob and can do a successful interceptresend attack to check the feasibility of the attack 3 different models of passivelyquenched detectors have been tested in the experiment i have simulated the intensity diagrams the detectors would receive in a real quantum key distribution system under attack control parameters and side effects are considered it appears that the attack could be practically possible | [['single', 'photon', 'detectors', 'based', 'on', 'passivelyquenched', 'avalanche', 'photodiodes', 'can', 'be', 'temporarily', 'blinded', 'by', 'relatively', 'bright', 'light', 'of', 'intensity', 'less', 'than', 'a', 'nanowatt', 'i', 'describe', 'a', 'brightlight', 'regime', 'suitable', 'for', 'attacking', 'a', 'quantum', 'key', 'distribution', 'system', 'containing', 'such', 'detectors', 'in', 'this', 'regime', 'all', 'single', 'photon', 'detectors', 'in', 'the', 'receiver', 'bob', 'are', 'uniformly', 'blinded', 'by', 'continuous', 'illumination', 'coming', 'from', 'the', 'eavesdropper', 'eve', 'when', 'eve', 'needs', 'a', 'certain', 'detector', 'in', 'bob', 'to', 'produce', 'a', 'click', 'she', 'modifies', 'polarization', 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707.3988 | Minimizing the ground state energy of an electron in a randomly deformed
lattice | We provide a characterization of the spectral minimum for a random
Schr\"odinger operator of the form $H=-\Delta + \sum_{i \in
\Z^d}q(x-i-\omega_i)$ in $L^2(\R^d)$, where the single site potential $q$ is
reflection symmetric, compactly supported in the unit cube centered at 0, and
the displacement parameters $\omega_i$ are restricted so that adjacent single
site potentials do not overlap. In particular, we show that a minimizing
configuration of the displacements is given by a periodic pattern of densest
possible $2^d$-clusters of single site potentials.
The main tool to prove this is a quite general phenomenon in the spectral
theory of Neumann problems, which we dub ``bubbles tend to the boundary.'' How
should a given compactly supported potential be placed into a bounded domain so
as to minimize or maximize the first Neumann eigenvalue of the Schr\"odinger
operator on this domain? For square or rectangular domains and reflection
symmetric potentials, we show that the first Neumann eigenvalue is minimized
when the potential sits in one of the corners of the domain and is maximized
when it sits in the center of the domain. With different methods we also show a
corresponding result for smooth strictly convex domains.
| math-ph math.MP | we provide a characterization of the spectral minimum for a random schrodinger operator of the form hdelta sum_i in zdqxiomega_i in l2rd where the single site potential q is reflection symmetric compactly supported in the unit cube centered at 0 and the displacement parameters omega_i are restricted so that adjacent single site potentials do not overlap in particular we show that a minimizing configuration of the displacements is given by a periodic pattern of densest possible 2dclusters of single site potentials the main tool to prove this is a quite general phenomenon in the spectral theory of neumann problems which we dub bubbles tend to the boundary how should a given compactly supported potential be placed into a bounded domain so as to minimize or maximize the first neumann eigenvalue of the schrodinger operator on this domain for square or rectangular domains and reflection symmetric potentials we show that the first neumann eigenvalue is minimized when the potential sits in one of the corners of the domain and is maximized when it sits in the center of the domain with different methods we also show a corresponding result for smooth strictly convex domains | [['we', 'provide', 'a', 'characterization', 'of', 'the', 'spectral', 'minimum', 'for', 'a', 'random', 'schrodinger', 'operator', 'of', 'the', 'form', 'hdelta', 'sum_i', 'in', 'zdqxiomega_i', 'in', 'l2rd', 'where', 'the', 'single', 'site', 'potential', 'q', 'is', 'reflection', 'symmetric', 'compactly', 'supported', 'in', 'the', 'unit', 'cube', 'centered', 'at', '0', 'and', 'the', 'displacement', 'parameters', 'omega_i', 'are', 'restricted', 'so', 'that', 'adjacent', 'single', 'site', 'potentials', 'do', 'not', 'overlap', 'in', 'particular', 'we', 'show', 'that', 'a', 'minimizing', 'configuration', 'of', 'the', 'displacements', 'is', 'given', 'by', 'a', 'periodic', 'pattern', 'of', 'densest', 'possible', '2dclusters', 'of', 'single', 'site', 'potentials', 'the', 'main', 'tool', 'to', 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707.3989 | Regularly varying multivariate time series | A multivariate, stationary time series is said to be jointly regularly
varying if all its finite-dimensional distributions are multivariate regularly
varying. This property is shown to be equivalent to weak convergence of the
conditional distribution of the rescaled series given that, at a fixed time
instant, its distance to the origin exceeds a threshold tending to infinity.
The limit object, called the tail process, admits a decomposition in
independent radial and angular components. Under an appropriate mixing
condition, this tail process allows for a concise and explicit description of
the limit of a sequence of point processes recording both the times and the
positions of the time series when it is far away from the origin. The theory is
applied to multivariate moving averages of finite order with random coefficient
matrices.
| math.PR math.ST stat.TH | a multivariate stationary time series is said to be jointly regularly varying if all its finitedimensional distributions are multivariate regularly varying this property is shown to be equivalent to weak convergence of the conditional distribution of the rescaled series given that at a fixed time instant its distance to the origin exceeds a threshold tending to infinity the limit object called the tail process admits a decomposition in independent radial and angular components under an appropriate mixing condition this tail process allows for a concise and explicit description of the limit of a sequence of point processes recording both the times and the positions of the time series when it is far away from the origin the theory is applied to multivariate moving averages of finite order with random coefficient matrices | [['a', 'multivariate', 'stationary', 'time', 'series', 'is', 'said', 'to', 'be', 'jointly', 'regularly', 'varying', 'if', 'all', 'its', 'finitedimensional', 'distributions', 'are', 'multivariate', 'regularly', 'varying', 'this', 'property', 'is', 'shown', 'to', 'be', 'equivalent', 'to', 'weak', 'convergence', 'of', 'the', 'conditional', 'distribution', 'of', 'the', 'rescaled', 'series', 'given', 'that', 'at', 'a', 'fixed', 'time', 'instant', 'its', 'distance', 'to', 'the', 'origin', 'exceeds', 'a', 'threshold', 'tending', 'to', 'infinity', 'the', 'limit', 'object', 'called', 'the', 'tail', 'process', 'admits', 'a', 'decomposition', 'in', 'independent', 'radial', 'and', 'angular', 'components', 'under', 'an', 'appropriate', 'mixing', 'condition', 'this', 'tail', 'process', 'allows', 'for', 'a', 'concise', 'and', 'explicit', 'description', 'of', 'the', 'limit', 'of', 'a', 'sequence', 'of', 'point', 'processes', 'recording', 'both', 'the', 'times', 'and', 'the', 'positions', 'of', 'the', 'time', 'series', 'when', 'it', 'is', 'far', 'away', 'from', 'the', 'origin', 'the', 'theory', 'is', 'applied', 'to', 'multivariate', 'moving', 'averages', 'of', 'finite', 'order', 'with', 'random', 'coefficient', 'matrices']] | [-0.10469232528303388, 0.13914393626239224, -0.15452720691229552, 0.05479252148604128, -0.05519733149096199, -0.11378584618019011, 0.04751235194115914, 0.38372972855017384, -0.32864473143393413, -0.1936180868918318, 0.12817898375703776, -0.265335301070706, -0.06732534158633638, 0.14248846135571427, -0.04318379216919874, 0.0730146653665841, 0.03269589465744225, 0.08574186333718191, -0.05294529784947122, -0.23452075972499056, 0.2849819783924702, 0.07317136936885027, 0.273462844305167, -0.015339584532815906, 0.1579649288314821, 0.022086172382425488, -0.02752143406142118, 0.002243856252491019, -0.09255998036567564, 0.052070698484010594, 0.20673374497182384, 0.1037596042773074, 0.2948778936788724, -0.3806409371149449, -0.1671059921326983, 0.15667696814728146, 0.14322681784565838, 0.05014007742594899, 0.0312938466134929, -0.2670626472468481, 0.11212589903841265, -0.13173793346126997, -0.19004111385100897, -0.025741914919940115, 0.08748645181163349, 0.05271822084736733, -0.33495491761216567, 0.06339232329606213, 0.08973583114113061, 0.04200585826854612, -0.02254723371335355, -0.07706979641740616, 0.011379642280543806, 0.15513332980753364, 0.0977166634979871, 0.04289130866883024, 0.11375900512589639, -0.08163159035985137, -0.040552930541173024, 0.33841484926555676, -0.09410344041930156, -0.22880132433794836, 0.18075223465784246, -0.2000727238673859, -0.12074710301457699, 0.16537731944206563, 0.1490943767023735, 0.13685689679211901, -0.162682869424177, 0.11249448635432344, -0.030793683240829987, 0.13390089252022563, 0.08692809792932209, 0.004359663357488982, 0.19138073193207952, 0.10441848521746468, 0.10479830703577017, 0.13361868368397745, -0.08353360227614869, -0.10238481227322731, -0.329844692060795, -0.1292375544413128, -0.21773573519032846, 0.0750405439291192, -0.15715052524036355, -0.20308211451812463, 0.39400748322355267, 0.11821481852991264, 0.2532515875525943, 0.11997739282500652, 0.24352864903319654, 0.2064325070534726, 0.004488693130778447, 0.06829379663895105, 0.12250476055387549, 0.1664543064339584, 0.06965673476358065, -0.14698889192712727, 0.12257092015974166, 0.06242997218314416] |
707.399 | Inflatable Dome for Moon, Mars, Asteroids and Satellites | On a planet without atmosphere, sustaining human life is very difficult and
dangerous, especially during short sunlit period when low temperature prevails.
To counter these environmental stresses, the author offer an innovative
artificial "Evergreen" dome, an inflated hemisphere with interiors continuously
providing a climate like that of Florida, Italy and Spain. The "Evergreen" dome
theory is developed, substantiated by computations that show it is possible for
current technology to construct and heat large enclosed volumes inexpensively.
Specifically, a satisfactory result is reached by using magnetic suspended at
high altitude sunlight reflectors and a special double thin film as a skin,
which concentrates solar energy inside the dome while, at the same time,
markedly decreasing the heat loss to exterior space. Offered design may be
employed for settlements on the Moon, Mars, asteroids and satellites.
| physics.gen-ph physics.space-ph | on a planet without atmosphere sustaining human life is very difficult and dangerous especially during short sunlit period when low temperature prevails to counter these environmental stresses the author offer an innovative artificial evergreen dome an inflated hemisphere with interiors continuously providing a climate like that of florida italy and spain the evergreen dome theory is developed substantiated by computations that show it is possible for current technology to construct and heat large enclosed volumes inexpensively specifically a satisfactory result is reached by using magnetic suspended at high altitude sunlight reflectors and a special double thin film as a skin which concentrates solar energy inside the dome while at the same time markedly decreasing the heat loss to exterior space offered design may be employed for settlements on the moon mars asteroids and satellites | [['on', 'a', 'planet', 'without', 'atmosphere', 'sustaining', 'human', 'life', 'is', 'very', 'difficult', 'and', 'dangerous', 'especially', 'during', 'short', 'sunlit', 'period', 'when', 'low', 'temperature', 'prevails', 'to', 'counter', 'these', 'environmental', 'stresses', 'the', 'author', 'offer', 'an', 'innovative', 'artificial', 'evergreen', 'dome', 'an', 'inflated', 'hemisphere', 'with', 'interiors', 'continuously', 'providing', 'a', 'climate', 'like', 'that', 'of', 'florida', 'italy', 'and', 'spain', 'the', 'evergreen', 'dome', 'theory', 'is', 'developed', 'substantiated', 'by', 'computations', 'that', 'show', 'it', 'is', 'possible', 'for', 'current', 'technology', 'to', 'construct', 'and', 'heat', 'large', 'enclosed', 'volumes', 'inexpensively', 'specifically', 'a', 'satisfactory', 'result', 'is', 'reached', 'by', 'using', 'magnetic', 'suspended', 'at', 'high', 'altitude', 'sunlight', 'reflectors', 'and', 'a', 'special', 'double', 'thin', 'film', 'as', 'a', 'skin', 'which', 'concentrates', 'solar', 'energy', 'inside', 'the', 'dome', 'while', 'at', 'the', 'same', 'time', 'markedly', 'decreasing', 'the', 'heat', 'loss', 'to', 'exterior', 'space', 'offered', 'design', 'may', 'be', 'employed', 'for', 'settlements', 'on', 'the', 'moon', 'mars', 'asteroids', 'and', 'satellites']] | [-0.10265744325649272, 0.21303260469580687, -0.06394041718831703, 0.07694830352426577, -0.08768629569233631, -0.10514864153506708, 0.06063861637801947, 0.3543715241101028, -0.19492243425990108, -0.34551234303021444, 0.1392827660927841, -0.2716857177750972, -0.11597623391625986, 0.24942877473754446, -0.13533672554863255, 0.009264292241484205, 0.0838051172730916, -0.013352172110410435, -0.002279711453289266, -0.24831210422406055, 0.23564610458778412, 0.15802080142867767, 0.26310175252077517, 0.06858667215408841, 0.10009230814749069, -0.054061051581567286, 0.03595898706016805, -0.002388313882019885, -0.12256087292623863, 0.06123976978480315, 0.29964117068317786, 0.0685312579622242, 0.25279859420078904, -0.47878914629456715, -0.22346468691700208, 0.03498361958885816, 0.0780868744164872, 0.01092786859085005, -0.05470542479549715, -0.26331880200765473, 0.03403831070372418, -0.18187788728652382, -0.19862605795223412, -0.02559357130927826, 0.037353907194016364, -0.03811946771031162, -0.24725195653467272, 0.009019681509695392, 0.027308911260620537, 0.14306990753984383, -0.08794955908296519, -0.13557006407932226, -0.06792100219737127, 0.13939701749030117, 0.0569217630206245, 0.05056714826722199, 0.20644969774980043, -0.08311213432713899, 0.012397747520711828, 0.33836740273426275, -0.06379587428797204, -0.06821649877437905, 0.21315545306815556, -0.19736723602165593, -0.04087966676009124, 0.16759753624349139, 0.1629661864031162, 0.07643291611183581, -0.14124045205363786, 0.01810639288511871, -0.009155693269376434, 0.15106382077810035, 0.1411802117181108, -0.0466304112350874, 0.3254231820056743, 0.2193111439961801, 0.11307313435870821, 0.09061261949584638, -0.15925068585480104, -0.06115974615712011, -0.2021811966395089, -0.15411371866991716, -0.17234793166393664, 0.0271867748554935, -0.05957074191561577, -0.1773377099394131, 0.328410899014657, 0.10848008587508143, 0.1325456827058832, -0.0009676916168571742, 0.32057376452652153, 0.036193858793026196, 0.08529866414820973, 0.09999070240101263, 0.2512238471918225, 0.04088377221939223, 0.21037536496724396, -0.20024160545930933, 0.10917238034516462, 0.008851067112661454] |
707.3991 | Tidal Debris posing as Dark Galaxies | Debris sent into the intergalactic medium during tidal collisions can tell us
about several fundamental properties of galaxies, in particular their missing
mass, both in the form of cosmological Dark Matter and so-called Lost Baryons.
High velocity encounters, which are common in clusters of galaxies, are able to
produce faint tidal debris that may appear as star-less, free floating HI
clouds. These may be mistaken for Dark Galaxies, a putative class of gaseous,
dark matter dominated, objects which for some reason never managed to form
stars. VirgoHI21 is by far the most spectacular and most discussed Dark Galaxy
candidate so far detected in HI surveys. We show here that it is most likely
made out of material expelled 750 Myr ago from the nearby spiral galaxy NGC
4254 during its fly--by at about 1000 km/s by a massive intruder. Our numerical
model of the collision is able to reproduce the main characteristics of the
system: in particular the absence of stars, and its prominent velocity
gradient. Originally attributed to the gas being in rotation within a massive
dark matter halo, we find it instead to be consistent with a combination of
simple streaming motion plus projection effects (Duc & Bournaud, 2007). We
discuss several ways to identify a tidal origin in a Dark Galaxy candidate and
illustrate the method using another HI system in Virgo, VCC 2062, which is most
likely a Tidal Dwarf Galaxy (Duc et al., 2007). Now, whereas tidal debris
should not contain any dark matter from the halo of their parent galaxies, it
may exhibit missing mass in the form of dark baryons, unaccounted for by
classical observations, as recently found in the collisional ring of NGC 5291
(Bournaud et al., 2007) and probably in the TDG VCC 2062. These "Lost Baryons"
must originally have been located in the disks of their parent galaxies.
| astro-ph | debris sent into the intergalactic medium during tidal collisions can tell us about several fundamental properties of galaxies in particular their missing mass both in the form of cosmological dark matter and socalled lost baryons high velocity encounters which are common in clusters of galaxies are able to produce faint tidal debris that may appear as starless free floating hi clouds these may be mistaken for dark galaxies a putative class of gaseous dark matter dominated objects which for some reason never managed to form stars virgohi21 is by far the most spectacular and most discussed dark galaxy candidate so far detected in hi surveys we show here that it is most likely made out of material expelled 750 myr ago from the nearby spiral galaxy ngc 4254 during its flyby at about 1000 kms by a massive intruder our numerical model of the collision is able to reproduce the main characteristics of the system in particular the absence of stars and its prominent velocity gradient originally attributed to the gas being in rotation within a massive dark matter halo we find it instead to be consistent with a combination of simple streaming motion plus projection effects duc bournaud 2007 we discuss several ways to identify a tidal origin in a dark galaxy candidate and illustrate the method using another hi system in virgo vcc 2062 which is most likely a tidal dwarf galaxy duc et al 2007 now whereas tidal debris should not contain any dark matter from the halo of their parent galaxies it may exhibit missing mass in the form of dark baryons unaccounted for by classical observations as recently found in the collisional ring of ngc 5291 bournaud et al 2007 and probably in the tdg vcc 2062 these lost baryons must originally have been located in the disks of their parent galaxies | [['debris', 'sent', 'into', 'the', 'intergalactic', 'medium', 'during', 'tidal', 'collisions', 'can', 'tell', 'us', 'about', 'several', 'fundamental', 'properties', 'of', 'galaxies', 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707.3992 | Quantum Signatures of Solar System Dynamics | Let w(i) be a period of rotation of the i-th planet around the Sun (or w(j;i)
be a period of rotation of j-th satellite around the i-th planet). From
empirical observations it is known that the sum of n(i)w(i)=0 (or the sum of
n(j)w(j;i)=0) for some integers n(i) (or n(j)), different for different
satellite systems. These conditions, known as resonance conditions, make uses
of theories such as KAM difficult to implement. The resonances in Solar System
are similar to those encountered in old quantum mechanics where applications of
methods of celestial mechanics to atomic and molecular physics were highly
sucsessful. With such a success, the birth of new quantum mechanics is
difficult to understand. In short, the rationale for its birth lies in
simplicity with which the same type of calculations are done using new methods
capable of taking care of resonances. The solution of quantization puzzle was
found by Heisenberg. In this paper new uses of Heisenberg's ideas are found.
When superimposed with the equivalence principle of general relativity, they
lead to quantum mechanical tratment of observed resonances in Solar System. To
test correctness of our theoretical predictions the number of allowed stable
orbits for planets and for equatorial stable orbits of satellites of heavy
planets is calculated resulting in good agreement with observational data. In
addition, the paper briefly discusses quantum mechanical nature of rings of
heavy planets and potential usefulness of the obtained results for cosmology.
| physics.gen-ph physics.space-ph | let wi be a period of rotation of the ith planet around the sun or wji be a period of rotation of jth satellite around the ith planet from empirical observations it is known that the sum of niwi0 or the sum of njwji0 for some integers ni or nj different for different satellite systems these conditions known as resonance conditions make uses of theories such as kam difficult to implement the resonances in solar system are similar to those encountered in old quantum mechanics where applications of methods of celestial mechanics to atomic and molecular physics were highly sucsessful with such a success the birth of new quantum mechanics is difficult to understand in short the rationale for its birth lies in simplicity with which the same type of calculations are done using new methods capable of taking care of resonances the solution of quantization puzzle was found by heisenberg in this paper new uses of heisenbergs ideas are found when superimposed with the equivalence principle of general relativity they lead to quantum mechanical tratment of observed resonances in solar system to test correctness of our theoretical predictions the number of allowed stable orbits for planets and for equatorial stable orbits of satellites of heavy planets is calculated resulting in good agreement with observational data in addition the paper briefly discusses quantum mechanical nature of rings of heavy planets and potential usefulness of the obtained results for cosmology | [['let', 'wi', 'be', 'a', 'period', 'of', 'rotation', 'of', 'the', 'ith', 'planet', 'around', 'the', 'sun', 'or', 'wji', 'be', 'a', 'period', 'of', 'rotation', 'of', 'jth', 'satellite', 'around', 'the', 'ith', 'planet', 'from', 'empirical', 'observations', 'it', 'is', 'known', 'that', 'the', 'sum', 'of', 'niwi0', 'or', 'the', 'sum', 'of', 'njwji0', 'for', 'some', 'integers', 'ni', 'or', 'nj', 'different', 'for', 'different', 'satellite', 'systems', 'these', 'conditions', 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707.3993 | On the reduction of Feynman integrals to master integrals | The reduction of Feynman integrals to master integrals is an algebraic
problem that requires algorithmic approaches at the modern level of
calculations. Straightforward applications of the classical Buchberger
algorithm to construct Groebner bases seem to be inefficient. An essential
modification designed especially for this problem has been worked out. It has
been already applied in two- and three-loop calculations. We are also
suggesting to combine our method with the Laporta's algorithm.
| hep-ph | the reduction of feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations straightforward applications of the classical buchberger algorithm to construct groebner bases seem to be inefficient an essential modification designed especially for this problem has been worked out it has been already applied in two and threeloop calculations we are also suggesting to combine our method with the laportas algorithm | [['the', 'reduction', 'of', 'feynman', 'integrals', 'to', 'master', 'integrals', 'is', 'an', 'algebraic', 'problem', 'that', 'requires', 'algorithmic', 'approaches', 'at', 'the', 'modern', 'level', 'of', 'calculations', 'straightforward', 'applications', 'of', 'the', 'classical', 'buchberger', 'algorithm', 'to', 'construct', 'groebner', 'bases', 'seem', 'to', 'be', 'inefficient', 'an', 'essential', 'modification', 'designed', 'especially', 'for', 'this', 'problem', 'has', 'been', 'worked', 'out', 'it', 'has', 'been', 'already', 'applied', 'in', 'two', 'and', 'threeloop', 'calculations', 'we', 'are', 'also', 'suggesting', 'to', 'combine', 'our', 'method', 'with', 'the', 'laportas', 'algorithm']] | [-0.06949147905065665, -0.005019715406299031, -0.16836066250886086, 0.10685120494118039, -0.11533793278733714, -0.12610488828324096, 0.016194887931498005, 0.39416962494732627, -0.2631527920004348, -0.3029377166129334, 0.10007491704522514, -0.25776717169079144, -0.17610609445156872, 0.24585202258302313, -0.07539227780636767, 0.09900710195250495, 0.0834855493813963, 0.017830825751830995, -0.0813377889653694, -0.33331493962503655, 0.27043216100329875, 0.08436924948448866, 0.2423566497442588, 0.06355731426016756, 0.12450386303547495, -0.021254854860492577, -0.06064920888190538, -0.01648273757121093, -0.08225508725230048, 0.1363134628496277, 0.3447190475400905, 0.11507410279089424, 0.27916328052819617, -0.44234219631573685, -0.1488855641292618, 0.10470795466131727, 0.19556743261391218, 0.1811899819450689, -0.012086840395645147, -0.17870506334682584, 0.08713081138680728, -0.18142579005978687, -0.1467336807076157, -0.19414420600350893, 0.0050642453724334775, -0.07340466146501647, -0.25519058840270614, -0.013083864531797868, 0.00735182852917154, 0.05086694214911967, 0.007958875365660225, -0.15632705686738532, 0.0540095926032887, 0.10471296643602176, 0.0146190792184428, 0.06921129351240767, 0.07401240836094383, -0.09150033378252156, -0.20286949099579327, 0.3811268942876601, 0.009853845130993237, -0.22229771674151572, 0.1743237284294159, -0.058996271494526784, -0.21297747974323344, 0.1625674161797678, 0.08710162058262758, 0.14291938816682553, -0.1711704598372461, 0.13647911687706216, 0.0025113349072110485, 0.11552935449117926, 0.05450752716590191, -0.034831821623350114, 0.12506018325188, 0.14006934390144266, 0.027105212592828075, 0.13183809634343996, -0.020651220406313807, -0.14275383428526175, -0.2443908161785401, -0.14268168326283634, -0.15472149360977427, 0.03204240433504464, -0.0553443535871748, -0.19163105209213746, 0.3465578078462834, 0.19707540916131389, 0.11508258500523393, 0.015395273664362833, 0.32033494592342576, 0.17630238261264028, 0.13730893381149836, 0.07332474439942711, 0.22792449752918223, 0.15462889619381495, 0.07456321509318872, -0.19525256666394186, 0.037022740557186413, 0.11922657155287518] |
707.3994 | Phase separation in the vicinity of "quantum critical" doping
concentration: implications for high temperature superconductors | A general quantitative measure of the tendency towards phase separation is
introduced for systems exhibiting phase transitions or crossovers controlled by
charge carrier concentration. This measure is devised for the situations when
the quantitative knowledge of various contributions to free energy is
incomplete, and is applied to evaluate the chances of electronic phase
separation associated with the onset of antiferromagnetic correlations in
high-temperature cuprate superconductors. The experimental phenomenology of
lanthanum- and yittrium-based cuprates was used as input to this analysis. It
is also pointed out that Coulomb repulsion between charge carriers separated by
the distances of 1-3 lattice periods strengthens the tendency towards phase
separation by accelerating the decay of antiferromagnetic correlations with
doping. Overall, the present analysis indicates that cuprates are realistically
close to the threshold of phase separation -- nanoscale limited or even
macroscopic with charge density varying between adjacent crystal planes.
| cond-mat.str-el cond-mat.stat-mech cond-mat.supr-con | a general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration this measure is devised for the situations when the quantitative knowledge of various contributions to free energy is incomplete and is applied to evaluate the chances of electronic phase separation associated with the onset of antiferromagnetic correlations in hightemperature cuprate superconductors the experimental phenomenology of lanthanum and yittriumbased cuprates was used as input to this analysis it is also pointed out that coulomb repulsion between charge carriers separated by the distances of 13 lattice periods strengthens the tendency towards phase separation by accelerating the decay of antiferromagnetic correlations with doping overall the present analysis indicates that cuprates are realistically close to the threshold of phase separation nanoscale limited or even macroscopic with charge density varying between adjacent crystal planes | [['a', 'general', 'quantitative', 'measure', 'of', 'the', 'tendency', 'towards', 'phase', 'separation', 'is', 'introduced', 'for', 'systems', 'exhibiting', 'phase', 'transitions', 'or', 'crossovers', 'controlled', 'by', 'charge', 'carrier', 'concentration', 'this', 'measure', 'is', 'devised', 'for', 'the', 'situations', 'when', 'the', 'quantitative', 'knowledge', 'of', 'various', 'contributions', 'to', 'free', 'energy', 'is', 'incomplete', 'and', 'is', 'applied', 'to', 'evaluate', 'the', 'chances', 'of', 'electronic', 'phase', 'separation', 'associated', 'with', 'the', 'onset', 'of', 'antiferromagnetic', 'correlations', 'in', 'hightemperature', 'cuprate', 'superconductors', 'the', 'experimental', 'phenomenology', 'of', 'lanthanum', 'and', 'yittriumbased', 'cuprates', 'was', 'used', 'as', 'input', 'to', 'this', 'analysis', 'it', 'is', 'also', 'pointed', 'out', 'that', 'coulomb', 'repulsion', 'between', 'charge', 'carriers', 'separated', 'by', 'the', 'distances', 'of', '13', 'lattice', 'periods', 'strengthens', 'the', 'tendency', 'towards', 'phase', 'separation', 'by', 'accelerating', 'the', 'decay', 'of', 'antiferromagnetic', 'correlations', 'with', 'doping', 'overall', 'the', 'present', 'analysis', 'indicates', 'that', 'cuprates', 'are', 'realistically', 'close', 'to', 'the', 'threshold', 'of', 'phase', 'separation', 'nanoscale', 'limited', 'or', 'even', 'macroscopic', 'with', 'charge', 'density', 'varying', 'between', 'adjacent', 'crystal', 'planes']] | [-0.15953069370121917, 0.23231656402087128, -0.06776185177305949, 0.07881908051745022, -0.019898011604927376, -0.14912810270726995, 0.11207188845408791, 0.3667391104702379, -0.24373919057043295, -0.29945048167776894, 0.0021239790817866966, -0.3343059185404137, -0.09389477653730609, 0.12821922464374924, 0.02249407401057038, 0.007976840342014608, -0.023682523008868833, -0.027303503747557252, -0.12279710904440948, -0.18677253474179709, 0.2998903187887061, 0.043623675757438654, 0.32856901746217004, 0.10155302255322605, 0.029164205524991726, 0.011081642549957188, 0.05272863400299889, 0.03800268374173574, -0.1437620306622219, 0.053966756129611125, 0.3133009754672227, -0.043469026337154736, 0.21402574093802504, -0.3943186841354194, -0.22795843222165402, 0.06366730915940191, 0.14746091522778135, 0.12691405172210554, -0.069240426799835, -0.2918115176168651, 0.04271088430369404, -0.12706164863865665, -0.12644318667073196, -0.09589146130101782, 0.03890353544864436, 0.03293576914633454, -0.2356463891690151, 0.1471401128217391, 0.07076755387324866, 0.07438634468478636, -0.07462434509759244, -0.10943894321836767, -0.04776436573920877, 0.10462469432743195, 0.07706411275520764, 0.08087651518462094, 0.135949357622631, -0.08973909843450496, -0.08793992109098275, 0.35121379967805155, 0.0017969492383458664, -0.09740772492803214, 0.1876175724655311, -0.18197761206153099, -0.05994097790828395, 0.18515522020842723, 0.08156200064408502, 0.05035697325304131, -0.1350008663021456, 0.013797102859210958, 0.053903469680578936, 0.22143997780611396, 0.06360410195185055, 0.08362502878094026, 0.2651014901422174, 0.21409301767879965, 0.06142125097037831, 0.15105947102690576, -0.1183904829163688, -0.11518868861365801, -0.23713579288565775, -0.1396165635112122, -0.2085744590649355, 0.017270705430656935, -0.08150613138392325, -0.16071398931220962, 0.3656973181791279, 0.164082368202901, 0.2022097040587564, -0.06787320592401314, 0.2421111804121633, 0.07170785805882729, 0.03880203412730955, -0.019809098524028356, 0.261685827705996, 0.16779727928346994, 0.1310509273185539, -0.27173828909790115, 0.11098778631511919, 0.04181558105924075] |
707.3995 | Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State | The tunneling current and shot noise of the current between two Fractional
Quantum Hall (FQH) edges in the $ \nu=12/5 $ FQH state in electronic
Mach-Zehnder interferometer are studied. It is shown that the tunneling current
and shot noise can be used to probe the existence of $k=3 $ parafermion
statistics in the $ \nu=12/5 $ FQH state. More specifically, the dependence of
the current on the Aharonov-Bohm flux in the Read-Rezayi state is asymmetric
under the change of the sign of the applied voltage. This property is absent in
the Abelian Laughlin states. Moreover the Fano factor can exceed 12.7 electron
charges in the $ \nu=12/5 $ FQH state . This number well exceeds the maximum
possible Fano factor in all Laughlin states and the $ \nu=5/2 $ Moore-Read
state which was shown previously to be $ e $ and $ 3.2 e $ respectively.
| cond-mat.mes-hall | the tunneling current and shot noise of the current between two fractional quantum hall fqh edges in the nu125 fqh state in electronic machzehnder interferometer are studied it is shown that the tunneling current and shot noise can be used to probe the existence of k3 parafermion statistics in the nu125 fqh state more specifically the dependence of the current on the aharonovbohm flux in the readrezayi state is asymmetric under the change of the sign of the applied voltage this property is absent in the abelian laughlin states moreover the fano factor can exceed 127 electron charges in the nu125 fqh state this number well exceeds the maximum possible fano factor in all laughlin states and the nu52 mooreread state which was shown previously to be e and 32 e respectively | [['the', 'tunneling', 'current', 'and', 'shot', 'noise', 'of', 'the', 'current', 'between', 'two', 'fractional', 'quantum', 'hall', 'fqh', 'edges', 'in', 'the', 'nu125', 'fqh', 'state', 'in', 'electronic', 'machzehnder', 'interferometer', 'are', 'studied', 'it', 'is', 'shown', 'that', 'the', 'tunneling', 'current', 'and', 'shot', 'noise', 'can', 'be', 'used', 'to', 'probe', 'the', 'existence', 'of', 'k3', 'parafermion', 'statistics', 'in', 'the', 'nu125', 'fqh', 'state', 'more', 'specifically', 'the', 'dependence', 'of', 'the', 'current', 'on', 'the', 'aharonovbohm', 'flux', 'in', 'the', 'readrezayi', 'state', 'is', 'asymmetric', 'under', 'the', 'change', 'of', 'the', 'sign', 'of', 'the', 'applied', 'voltage', 'this', 'property', 'is', 'absent', 'in', 'the', 'abelian', 'laughlin', 'states', 'moreover', 'the', 'fano', 'factor', 'can', 'exceed', '127', 'electron', 'charges', 'in', 'the', 'nu125', 'fqh', 'state', 'this', 'number', 'well', 'exceeds', 'the', 'maximum', 'possible', 'fano', 'factor', 'in', 'all', 'laughlin', 'states', 'and', 'the', 'nu52', 'mooreread', 'state', 'which', 'was', 'shown', 'previously', 'to', 'be', 'e', 'and', '32', 'e', 'respectively']] | [-0.18562667640578706, 0.21549871234068027, -0.07590783617431016, 0.07192921029689553, 0.011271680193727441, -0.16652650946299685, 0.05289039074154006, 0.30727904648378945, -0.21727737732175173, -0.31928934570345463, -0.003923036125453302, -0.27766681021911965, -0.12545553404329854, 0.17351519737999435, -0.03912849547200357, 0.06385026737839464, -0.03760815428739244, 0.02502376833845946, -0.059747495346748496, -0.27450306667014956, 0.2867031648938516, 0.0018070424989811286, 0.32785348484123294, 0.04967289868253636, 0.03607588395067124, -0.028513370420445095, 0.08127322336517726, 0.009365437729601663, -0.10999589997801663, -0.013133458600019698, 0.27556626432377734, -0.07088366418082098, 0.16057298482734372, -0.43115240551361983, -0.13673673929279725, 0.08874152426847792, 0.10237734428885618, 0.1539799837125677, 0.05047311774967855, -0.3473679730104226, 0.02237535431049764, -0.19270802877674048, -0.07861832383875453, -0.06202825340865688, 0.03938081949088497, -0.041485640185066695, -0.19719953911209648, 0.15088595725793505, 0.04411409921841837, -0.013567852011571327, -0.027317482262856862, -0.18770558355644232, -0.0791101828517364, 0.05794644972268019, -0.04238532548311703, 0.056952631273871346, 0.16647204958082346, -0.24699396408642782, -0.22743538051497925, 0.3017541742707236, -0.055308234440445, -0.19954889133452636, 0.12409907921259715, -0.23898829983998882, -0.05510325928458549, 0.15918140313023646, 0.043961345620284024, 0.04421771844587938, -0.05254890786653215, 0.07197726967878583, -0.07391048694041798, 0.1517857757086555, 0.08384575194919086, 0.1044937809400091, 0.20634491282345896, 0.13280247218525884, 0.10166109185736401, 0.16315606958056433, -0.18772642448311672, -0.06378954715689884, -0.2923850922062146, -0.18446444563398307, -0.25105396329485247, 0.16366751963329135, 0.017491330724706957, -0.14177928710926085, 0.4545513175751584, 0.1301000406648117, 0.17973334061080645, -0.07812943632598035, 0.2386446100744334, 0.20775181863273523, 0.0036625036454731317, 0.06544684150580768, 0.24584545023654672, 0.16629394748473936, 0.05703318853171147, -0.32676248714878137, 0.02001319304602503, 0.001169577359123099] |
707.3996 | Stability of multiquarks in a simple string model | A simple string model inspired by the strong-coupling regime of Quantum
ChromoDynamics is used as a potential for studying the spectrum of multiquark
systems with two quarks and two antiquarks, with a careful treatment of the
four-body problem. It is found that the ground state is stable, lying below the
threshold for dissociation into two isolated mesons.
| hep-ph nucl-th | a simple string model inspired by the strongcoupling regime of quantum chromodynamics is used as a potential for studying the spectrum of multiquark systems with two quarks and two antiquarks with a careful treatment of the fourbody problem it is found that the ground state is stable lying below the threshold for dissociation into two isolated mesons | [['a', 'simple', 'string', 'model', 'inspired', 'by', 'the', 'strongcoupling', 'regime', 'of', 'quantum', 'chromodynamics', 'is', 'used', 'as', 'a', 'potential', 'for', 'studying', 'the', 'spectrum', 'of', 'multiquark', 'systems', 'with', 'two', 'quarks', 'and', 'two', 'antiquarks', 'with', 'a', 'careful', 'treatment', 'of', 'the', 'fourbody', 'problem', 'it', 'is', 'found', 'that', 'the', 'ground', 'state', 'is', 'stable', 'lying', 'below', 'the', 'threshold', 'for', 'dissociation', 'into', 'two', 'isolated', 'mesons']] | [-0.1120198099759587, 0.23941709343017192, -0.12952277717883126, 0.11760846067734651, 0.023956922650860066, -0.18481314676536018, 0.0750416234552272, 0.316305670560452, -0.18427941404086978, -0.22851694136727274, 0.013094061789544005, -0.30148899055233125, -0.04393377164868932, 0.1453450244500122, 0.07973648393690064, 0.10446063105605151, 0.0824877565416197, 0.06130711106877578, -0.01765407283234884, -0.19395442186086848, 0.3757061735367435, -0.05597144019945214, 0.21739380545260614, 0.1265771917165502, 0.053212039303361325, 0.021372224449327116, 0.09651734575367811, 0.0029277423102604715, -0.07883040244313745, 0.08406859855045025, 0.2253279592515084, 0.042649349982016964, 0.23435537722942076, -0.36637372909146443, -0.22292566235716404, 0.09637021355069521, 0.1588234873815325, 0.16685835870080873, -0.045845305971931996, -0.2905132016003655, 0.08647149750603396, -0.18041375874165902, -0.1697265786739687, -0.08437612956683886, 0.011606767316136444, -0.07999673809267972, -0.26401149017099096, 0.07026428824061887, 0.02075462745453574, 0.010853657923769532, -0.050991967287764214, -0.15739856870322114, -0.031136596706091313, 0.09540815011745221, 0.036301190100953375, 0.08920234254675738, 0.11469317604624257, -0.20234962504585846, -0.1405518962021329, 0.4495699655493362, -0.016699362578883506, -0.16590086688499964, 0.190969716626824, -0.09322966486542371, -0.10800269839206808, 0.13089862472394057, 0.1107605983127366, 0.11166249331609722, -0.17790602600986236, 0.09527081112160854, -0.021420023534773736, 0.16460422553906315, 0.06153234429330679, 0.058705238135237446, 0.2510592096338147, 0.23098370573369034, 0.002686398054816221, 0.13782285039492867, -0.045826121119030734, -0.18459057499115405, -0.3302618618727776, -0.09179472498465002, -0.16814586789788386, 0.05016805572443429, -0.03150735415590788, -0.17399529611136308, 0.3920103242424758, 0.02571878472767901, 0.2192206978144353, -0.006599947389443977, 0.3019378071409863, 0.12138320392675764, -0.012680834289966967, 0.05559920123982521, 0.2776988880512746, 0.1883960289414972, 0.05991463502052061, -0.27334229898916784, -0.04255585325881839, 0.10782157636263914] |
707.3997 | Search for Bs --> mu+ mu- at D0 | We report results from a search for the decay Bs --> mu+ mu- using 1.3/fb of
pbar p collisions at sqrt(s)= 1.96 TeV collected by the D0 experiment at the
Fermilab Tevatron Collider. We find two candidate events, consistent with the
expected background of 1.24 +/- 0.99, and set an upper limit on the branching
fraction of B(Bs --> mu+ mu-) < 1.2e-7 at the 95% C.L.
| hep-ex | we report results from a search for the decay bs mu mu using 13fb of pbar p collisions at sqrts 196 tev collected by the d0 experiment at the fermilab tevatron collider we find two candidate events consistent with the expected background of 124 099 and set an upper limit on the branching fraction of bbs mu mu 12e7 at the 95 cl | [['we', 'report', 'results', 'from', 'a', 'search', 'for', 'the', 'decay', 'bs', 'mu', 'mu', 'using', '13fb', 'of', 'pbar', 'p', 'collisions', 'at', 'sqrts', '196', 'tev', 'collected', 'by', 'the', 'd0', 'experiment', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'we', 'find', 'two', 'candidate', 'events', 'consistent', 'with', 'the', 'expected', 'background', 'of', '124', '099', 'and', 'set', 'an', 'upper', 'limit', 'on', 'the', 'branching', 'fraction', 'of', 'bbs', 'mu', 'mu', '12e7', 'at', 'the', '95', 'cl']] | [-0.07662101908335311, 0.1975942986527732, -0.06752982631611128, 0.07251543335376247, 0.016303423326462507, -0.11353826377871296, 0.16764206197413226, 0.2620108224030945, -0.12917080425447033, -0.3550486511460716, -0.018332254040175147, -0.46545668565217524, 0.11812116253760553, 0.1722580321215754, 0.13500189148039826, 0.10544002999461466, 0.14641704900009977, 0.03752717302150784, -0.004332795241592272, -0.22680743460753752, 0.1895234268909741, 0.13145572878420353, 0.24674205118489842, 0.07466671450604354, 0.06614584884335918, -0.005314043257385492, -0.04014181773809175, -0.10767431833571003, -0.18917487577475126, 0.029170932124778177, 0.23532815202094254, 0.12784406195034184, 0.1042456543974338, -0.2745255060614117, 0.05093754153518427, 0.20295933241234912, 0.10428660387744106, -0.03515054018146569, -0.07126088286637358, -0.37906159036943027, 0.2115160840743732, -0.19828413485459262, -0.08561554792968015, 0.09937953336479803, 0.09582838006017189, -0.09626276420068837, -0.40313148588663145, 0.07792327375031047, -0.0974291964103618, 0.12389478740430693, -0.02606357547319344, -0.3027837949414407, -0.05625162271016668, -0.1078732036309497, 0.042006938568046014, 0.10939113024411903, 0.1933131777801581, -0.05996124736491531, -0.2198148611031713, 0.3292730243636235, -0.12367970807357662, -0.09518718259078601, 0.23018072338234033, -0.2748642661233222, -0.132269716078055, 0.21477775006825406, 0.2986485310529749, 0.053526716487061594, -0.24634094009055726, 0.16533306847803383, 0.006690157427182121, 0.20509440288878977, 0.12044015972154035, 0.04269329474998578, 0.2316438010971216, 0.254387351128483, 0.06138402807916845, 0.03591324440428927, -0.21361484442792472, 0.03782704938954163, -0.4880432963912045, -0.03531233523221266, -0.10150677939846871, 0.0925637818431677, -0.037046571832756704, 0.05277926076744353, 0.2599620396691945, 0.09113681176677346, 0.35375457656599824, 0.08489597907229778, 0.2011183060315107, 0.13027150336781615, -0.018318692809477777, 0.07343410686735297, 0.2948790213537699, 0.07122054134660791, 0.1646008226295723, -0.2575315371749081, -0.021522498907401197, -0.005369037254563262] |
707.3998 | The Spitzer Survey of the Small Magellanic Cloud: Discovery of Embedded
Protostars in the HII Region NGC 346 | We use Spitzer Space Telescope observations from the Spitzer Survey of the
Small Magellanic Cloud (S3MC) to study the young stellar content of N66, the
largest and brightest HII region in the SMC. In addition to large numbers of
normal stars, we detect a significant population of bright, red infrared
sources that we identify as likely to be young stellar objects (YSOs). We use
spectral energy distribution (SED) fits to classify objects as ordinary (main
sequence or red giant) stars, asymptotic giant branch stars, background
galaxies, and YSOs. This represents the first large-scale attempt at blind
source classification based on Spitzer SEDs in another galaxy. We firmly
identify at least 61 YSOs, with another 50 probable YSOs; only one embedded
protostar in the SMC was reported in the literature prior to the S3MC. We
present color selection criteria that can be used to identify a relatively
clean sample of YSOs with IRAC photometry. Our fitted SEDs indicate that the
infrared-bright YSOs in N66 have stellar masses ranging from 2 Msun to 17 Msun,
and that approximately half of the objects are Stage II protostars, with the
remaining YSOs roughly evenly divided between Stage I and Stage III sources. We
find evidence for primordial mass segregation in the HII region, with the most
massive YSOs being preferentially closer to the center than lower-mass objects.
Despite the low metallicity and dust content of the SMC, the observable
properties of the YSOs appear consistent with those in the Milky Way. Although
the YSOs are heavily concentrated within the optically bright central region of
N66, there is ongoing star formation throughout the complex and we place a
lower limit on the star formation rate of 3.2 x 10^-3 Msun/yr over the last ~1
Myr.
| astro-ph | we use spitzer space telescope observations from the spitzer survey of the small magellanic cloud s3mc to study the young stellar content of n66 the largest and brightest hii region in the smc in addition to large numbers of normal stars we detect a significant population of bright red infrared sources that we identify as likely to be young stellar objects ysos we use spectral energy distribution sed fits to classify objects as ordinary main sequence or red giant stars asymptotic giant branch stars background galaxies and ysos this represents the first largescale attempt at blind source classification based on spitzer seds in another galaxy we firmly identify at least 61 ysos with another 50 probable ysos only one embedded protostar in the smc was reported in the literature prior to the s3mc we present color selection criteria that can be used to identify a relatively clean sample of ysos with irac photometry our fitted seds indicate that the infraredbright ysos in n66 have stellar masses ranging from 2 msun to 17 msun and that approximately half of the objects are stage ii protostars with the remaining ysos roughly evenly divided between stage i and stage iii sources we find evidence for primordial mass segregation in the hii region with the most massive ysos being preferentially closer to the center than lowermass objects despite the low metallicity and dust content of the smc the observable properties of the ysos appear consistent with those in the milky way although the ysos are heavily concentrated within the optically bright central region of n66 there is ongoing star formation throughout the complex and we place a lower limit on the star formation rate of 32 x 103 msunyr over the last 1 myr | [['we', 'use', 'spitzer', 'space', 'telescope', 'observations', 'from', 'the', 'spitzer', 'survey', 'of', 'the', 'small', 'magellanic', 'cloud', 's3mc', 'to', 'study', 'the', 'young', 'stellar', 'content', 'of', 'n66', 'the', 'largest', 'and', 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707.3999 | Quintessence, inflation and baryogenesis from a single
pseudo-Nambu-Goldstone boson | We exhibit a model in which a single pseudo-Nambu-Goldstone boson explains
dark energy, inflation and baryogenesis. The model predicts correlated signals
in future collider experiments, WIMP searches, proton decay experiments, dark
energy probes, and the PLANCK satellite CMB measurements.
| astro-ph | we exhibit a model in which a single pseudonambugoldstone boson explains dark energy inflation and baryogenesis the model predicts correlated signals in future collider experiments wimp searches proton decay experiments dark energy probes and the planck satellite cmb measurements | [['we', 'exhibit', 'a', 'model', 'in', 'which', 'a', 'single', 'pseudonambugoldstone', 'boson', 'explains', 'dark', 'energy', 'inflation', 'and', 'baryogenesis', 'the', 'model', 'predicts', 'correlated', 'signals', 'in', 'future', 'collider', 'experiments', 'wimp', 'searches', 'proton', 'decay', 'experiments', 'dark', 'energy', 'probes', 'and', 'the', 'planck', 'satellite', 'cmb', 'measurements']] | [-0.13372469308953255, 0.3084589740834557, -0.14383901172102645, 0.25922803652401155, -0.11098057057899542, -0.22753636066604835, -0.034596233730180524, 0.2899832953818334, -0.20381532915127584, -0.3424638016507603, -0.044200515338721186, -0.3650293607169237, 0.018425009285028163, 0.1800390125538867, 0.149517015959972, 0.08306744472625163, 0.09612334517236704, -0.06443988421979623, 0.020777082034888174, -0.23377105739349738, 0.14535976949935922, 0.2239363661322456, 0.24266345724941063, 0.05268980407466491, 0.08360420074313879, -0.03214127101147404, -0.07117934815155771, -0.13274599196246037, -0.17842236319064306, 0.0070794413869197555, 0.22231564618265018, 0.13794876964619526, 0.052808641062046476, -0.37640686880629987, -0.24911765539302275, 0.27850716601675135, 0.11501082352911815, 0.13031599897807702, -0.19344693828278628, -0.3730649243180568, -0.03396062385320711, -0.22594282121803516, -0.05343973436034643, -0.058357478734344624, -0.10703707825488006, -0.0711921621293116, -0.33469374926808554, 0.183436970716008, -0.12444083203967565, -0.07258590661848967, -0.12231454717066999, -0.09519955525413537, -0.027726044209721763, -0.18120106873221886, 0.16103201019816482, -0.01561843472509048, 0.2998264034827932, -0.25274714359488243, -0.18219627848324868, 0.42445613539371735, -0.20640789077450067, -0.044682844852407776, 0.11504702642560005, -0.2136763171889843, -0.21627864638009134, 0.0788499371220286, 0.1904632717841872, -0.011169160119233986, -0.12472628248043549, 0.18907690334480065, -0.03903788399810974, 0.2207222566104088, 0.05390964860532385, 0.06566479496466808, 0.4656678151625853, 0.27576419978569716, 0.05876950069497793, -0.0218260315939402, -0.16698872424566594, -0.019891444972764034, -0.4287998632166702, -0.056550019432623416, -0.12399378820107533, -0.026647785344184972, -0.031031564590730108, -0.0353120259510783, 0.41440460692422515, 0.1307716777500434, 0.29141338198230815, -0.00028654428807875287, 0.3586240044006935, 0.01143902685576811, 0.062296360227404736, -0.03929439089626659, 0.3774949584920437, 0.1027890791495641, 0.15902285176651695, -0.203137249715674, -0.05562234143368327, -0.044013518996787473] |
707.4 | The LU-LC conjecture, diagonal local operations and quadratic forms over
GF(2) | We report progress on the LU-LC conjecture - an open problem in the context
of entanglement in stabilizer states (or graph states). This conjecture states
that every two stabilizer states which are related by a local unitary
operation, must also be related by a local operation within the Clifford group.
The contribution of this paper is a reduction of the LU-LC conjecture to a
simpler problem - which, however, remains to date unsolved. As our main result,
we show that, if the LU-LC conjecture could be proved for the restricted case
of diagonal local unitary operations, then the conjecture is correct in its
totality. Furthermore, the reduced version of the problem, involving such
diagonal local operations, is mapped to questions regarding quadratic forms
over the finite field GF(2). Finally, we prove that correctness of the LU-LC
conjecture for stabilizer states implies a similar result for the more general
case of stabilizer codes.
| quant-ph | we report progress on the lulc conjecture an open problem in the context of entanglement in stabilizer states or graph states this conjecture states that every two stabilizer states which are related by a local unitary operation must also be related by a local operation within the clifford group the contribution of this paper is a reduction of the lulc conjecture to a simpler problem which however remains to date unsolved as our main result we show that if the lulc conjecture could be proved for the restricted case of diagonal local unitary operations then the conjecture is correct in its totality furthermore the reduced version of the problem involving such diagonal local operations is mapped to questions regarding quadratic forms over the finite field gf2 finally we prove that correctness of the lulc conjecture for stabilizer states implies a similar result for the more general case of stabilizer codes | [['we', 'report', 'progress', 'on', 'the', 'lulc', 'conjecture', 'an', 'open', 'problem', 'in', 'the', 'context', 'of', 'entanglement', 'in', 'stabilizer', 'states', 'or', 'graph', 'states', 'this', 'conjecture', 'states', 'that', 'every', 'two', 'stabilizer', 'states', 'which', 'are', 'related', 'by', 'a', 'local', 'unitary', 'operation', 'must', 'also', 'be', 'related', 'by', 'a', 'local', 'operation', 'within', 'the', 'clifford', 'group', 'the', 'contribution', 'of', 'this', 'paper', 'is', 'a', 'reduction', 'of', 'the', 'lulc', 'conjecture', 'to', 'a', 'simpler', 'problem', 'which', 'however', 'remains', 'to', 'date', 'unsolved', 'as', 'our', 'main', 'result', 'we', 'show', 'that', 'if', 'the', 'lulc', 'conjecture', 'could', 'be', 'proved', 'for', 'the', 'restricted', 'case', 'of', 'diagonal', 'local', 'unitary', 'operations', 'then', 'the', 'conjecture', 'is', 'correct', 'in', 'its', 'totality', 'furthermore', 'the', 'reduced', 'version', 'of', 'the', 'problem', 'involving', 'such', 'diagonal', 'local', 'operations', 'is', 'mapped', 'to', 'questions', 'regarding', 'quadratic', 'forms', 'over', 'the', 'finite', 'field', 'gf2', 'finally', 'we', 'prove', 'that', 'correctness', 'of', 'the', 'lulc', 'conjecture', 'for', 'stabilizer', 'states', 'implies', 'a', 'similar', 'result', 'for', 'the', 'more', 'general', 'case', 'of', 'stabilizer', 'codes']] | [-0.14773636459295328, 0.11759416352734357, -0.09083717852210005, 0.05839692954362059, -0.012174070676167806, -0.14775606368357935, 0.054923656260749944, 0.2920247952391704, -0.31050154226521653, -0.25430718225116533, 0.130350383943102, -0.20853456784350177, -0.1616658939809228, 0.21392216511536388, -0.12981934764732916, 0.05508657271314102, 0.09698379806475714, 0.06235075855627656, -0.0940217920159921, -0.35154729660697437, 0.34815366346389054, 0.007949465215206146, 0.23662953213012466, 0.10904570552520454, 0.04897398476333668, 0.025550400106488572, 0.01886840702034533, -0.003805685337477674, -0.07040653872686865, 0.1258495990811692, 0.2805838263158997, 0.14863551599439234, 0.26018847764780123, -0.41449811183750473, -0.17101838124605517, 0.1372854089193667, 0.10981293010525406, 0.14885859339032323, -0.031380036547489, -0.25418647933906563, 0.13352326719478394, -0.16655534329048047, -0.16370084387715905, -0.05019766557961702, 0.045264329535420984, -0.10185296279455845, -0.2345736731092135, 0.0453978316654684, 0.1433055687882006, 0.051648136085520185, -0.0570285241282545, -0.06500712290794278, -0.0034304114477708937, 0.11301291348878294, -0.013722144630737603, 0.04046319027431309, 0.06714769599299568, -0.1031786295119673, -0.1541692948201671, 0.37106141570955514, -0.024314519504162795, -0.19688031882823756, 0.12726204918076595, -0.09452954592804114, -0.2180498044534276, 0.039705381548653045, 0.08159328972299894, 0.12488169576972723, -0.08785007807736596, 0.1423291738370123, -0.1644745208012561, 0.13741385944420473, 0.08127523500937968, 0.05109043343186689, 0.1455942725999436, 0.06278835989534855, 0.13960543567159522, 0.18247811620278906, 0.0052048520262663565, -0.05875646956730634, -0.3270008721482009, -0.19299580477798978, -0.1824935751641169, 0.10403639016284917, -0.02395791377251347, -0.153689018736283, 0.43302360699822506, 0.11889407789334655, 0.1514288710181912, 0.08953383657615632, 0.2346352385605375, 0.09875308975228109, 0.057141967403391995, 0.11480072561341027, 0.19232977766233186, 0.2040428473521024, -0.02927447867967809, -0.17922899068022768, 0.06424999684871485, 0.10247883987923463] |
707.4001 | Different Methods of Forming Cold Fronts in Non-Merging Clusters | Sharp edges in X-ray surface brightness with continuous gas pressure called
cold fronts have been often found in relaxed galaxy clusters such as Abell 496.
Models that explain cold fronts as surviving cores of head-on subcluster
mergers do not work well for these clusters and competing models involving gas
sloshing have been recently proposed. Here, we test some concrete predictions
of these models in a combined analysis of density, temperature, metal
abundances and abundance ratios in a deep Chandra exposure of Abell 496. We
confirm that the chemical discontinuities found in this cluster are not
consistent with a core merger remnant scenario. However, we find chemical
gradients across a spiral "arm" discovered at 73 kpc north of the cluster
center and coincident with the sharp edge of the main cold front in the
cluster. Despite the overall SN Ia iron mass fraction dominance found within
the cooling radius of this cluster, the metal enrichment along the arm,
determined from silicon and iron abundances, is consistent with a lower SN Ia
iron mass fraction (51% +- 14%) than that measured in the surrounding regions
(85% +- 14%). The "arm" is also significantly colder than the surroundings by
0.5-1.6 keV. The arm extends from a boxy colder region surrounding the center
of the cluster, where two other cold fronts are found. This cold arm is a
prediction of current high resolution numerical simulations as a result of an
off-center encounter with a less massive pure dark matter halo and we suggest
that the cold fronts in A496 provide the first clear corroboration of such
model, where the closest encounter happened ~ 0.5 Gyr ago. We also argue for a
possible candidate dark matter halo responsible for the cold fronts in the
outskirts of A496.
| astro-ph | sharp edges in xray surface brightness with continuous gas pressure called cold fronts have been often found in relaxed galaxy clusters such as abell 496 models that explain cold fronts as surviving cores of headon subcluster mergers do not work well for these clusters and competing models involving gas sloshing have been recently proposed here we test some concrete predictions of these models in a combined analysis of density temperature metal abundances and abundance ratios in a deep chandra exposure of abell 496 we confirm that the chemical discontinuities found in this cluster are not consistent with a core merger remnant scenario however we find chemical gradients across a spiral arm discovered at 73 kpc north of the cluster center and coincident with the sharp edge of the main cold front in the cluster despite the overall sn ia iron mass fraction dominance found within the cooling radius of this cluster the metal enrichment along the arm determined from silicon and iron abundances is consistent with a lower sn ia iron mass fraction 51 14 than that measured in the surrounding regions 85 14 the arm is also significantly colder than the surroundings by 0516 kev the arm extends from a boxy colder region surrounding the center of the cluster where two other cold fronts are found this cold arm is a prediction of current high resolution numerical simulations as a result of an offcenter encounter with a less massive pure dark matter halo and we suggest that the cold fronts in a496 provide the first clear corroboration of such model where the closest encounter happened 05 gyr ago we also argue for a possible candidate dark matter halo responsible for the cold fronts in the outskirts of a496 | [['sharp', 'edges', 'in', 'xray', 'surface', 'brightness', 'with', 'continuous', 'gas', 'pressure', 'called', 'cold', 'fronts', 'have', 'been', 'often', 'found', 'in', 'relaxed', 'galaxy', 'clusters', 'such', 'as', 'abell', '496', 'models', 'that', 'explain', 'cold', 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707.4002 | Spitzer Observations of Powerful Radio Sources | We have measured the mid-infrared radiation from an orientation-unbiased
sample of powerful 3C RR galaxies and quasars using the IRS and MIPS
instruments aboard the Spitzer Space Telescope. We fit the Spitzer data as well
as other measurements from the literature with synchrotron and dust components.
At 15 microns, quasars are typically four times brighter than radio galaxies
with the same isotropic radio power. Based on our fits, half of this difference
can be attributed to the presence of non-thermal emission in the quasars but
not the radio galaxies. The other half is consistent with dust absorption in
the radio galaxies but not the quasars.
| astro-ph | we have measured the midinfrared radiation from an orientationunbiased sample of powerful 3c rr galaxies and quasars using the irs and mips instruments aboard the spitzer space telescope we fit the spitzer data as well as other measurements from the literature with synchrotron and dust components at 15 microns quasars are typically four times brighter than radio galaxies with the same isotropic radio power based on our fits half of this difference can be attributed to the presence of nonthermal emission in the quasars but not the radio galaxies the other half is consistent with dust absorption in the radio galaxies but not the quasars | [['we', 'have', 'measured', 'the', 'midinfrared', 'radiation', 'from', 'an', 'orientationunbiased', 'sample', 'of', 'powerful', '3c', 'rr', 'galaxies', 'and', 'quasars', 'using', 'the', 'irs', 'and', 'mips', 'instruments', 'aboard', 'the', 'spitzer', 'space', 'telescope', 'we', 'fit', 'the', 'spitzer', 'data', 'as', 'well', 'as', 'other', 'measurements', 'from', 'the', 'literature', 'with', 'synchrotron', 'and', 'dust', 'components', 'at', '15', 'microns', 'quasars', 'are', 'typically', 'four', 'times', 'brighter', 'than', 'radio', 'galaxies', 'with', 'the', 'same', 'isotropic', 'radio', 'power', 'based', 'on', 'our', 'fits', 'half', 'of', 'this', 'difference', 'can', 'be', 'attributed', 'to', 'the', 'presence', 'of', 'nonthermal', 'emission', 'in', 'the', 'quasars', 'but', 'not', 'the', 'radio', 'galaxies', 'the', 'other', 'half', 'is', 'consistent', 'with', 'dust', 'absorption', 'in', 'the', 'radio', 'galaxies', 'but', 'not', 'the', 'quasars']] | [0.027309610982998632, 0.1049669522115157, -0.05533490745270123, 0.08642977340787183, -0.14212172662910932, -0.06797403903104939, 0.007677013390303518, 0.5119579321203324, -0.1014559390829303, -0.332748140512894, 0.07592078345120311, -0.3478756612793614, 0.003592773098856784, 0.2407088306499645, -0.011649807933001565, -0.055219860102694765, -0.005136438047674556, -0.19814975833735213, 0.018078496187137298, -0.2845854882974751, 0.2781253380414385, 0.12918257428548083, 0.21521307033701584, -0.09674656004286729, 0.08225375538033684, -0.1352317431816258, -0.14825727296724486, -0.004692298409701414, -0.08622308457919504, 0.037623688189062074, 0.2759702271566941, 0.10061084165891561, 0.14368787130717045, -0.33216867542145895, -0.2190371558894045, 0.12114694853349087, 0.18511111141504863, -0.017101226499877296, 0.019982553830441948, -0.29284633610111016, 0.04249798382918995, -0.1476247556006106, -0.14142012424193895, 0.12619488198274317, -0.009721431755819, 0.04264082925286717, -0.162615511736546, 0.11567178032754992, -0.040925264170464985, 0.13932232833646524, -0.17611264789817282, -0.11133690126007423, -0.08130372822163806, 0.057367043484611295, 0.01833964918534128, 0.07187494256784423, 0.1752657603759032, -0.11747588997017235, -0.09160483085613053, 0.4358048058705978, -0.07237256094301231, 0.057728040748490736, 0.2262144130856121, -0.25349430113923377, -0.1811686042436542, 0.17323075012133743, 0.12800454588320392, 0.11388671287120535, -0.14853578113700047, 0.017777003274554424, -0.040204074896442205, 0.2698080726684286, 0.010638513230682852, 0.15935431307074255, 0.2961334201704281, 0.05786018693134583, 0.04511055295167283, 0.11780971033798639, -0.3033787498962528, 0.026924233937349457, -0.24978508360576457, -0.07310364143743825, -0.1900155400575246, 0.1343289567652951, -0.1588736652132726, -0.07522400782237618, 0.35717290768381926, 0.07424715887128304, 0.20030065827394047, 0.10188158666894126, 0.4004728966750778, 0.09246363257541536, 0.17638998432084918, 0.17209875584096432, 0.37643370831098694, 0.09310412048720397, 0.13390988109257215, -0.17443932574958756, 0.04514249118241983, -0.05325971676323276] |
707.4003 | Symplectic $A_\infty$-algebras and string topology operations | In this paper we establish the existence of certain structures on the
ordinary and equivariant homology of the free loop space on a manifold or, more
generally, a formal Poincar\'e duality space. These structures; namely the loop
product, the loop bracket and the string bracket, were introduced and studied
by Chas and Sullivan under the general heading `string topology'. Our method is
based on obstruction theory for $C_\infty$-algebras and rational homotopy
theory. The resulting string topology operations are manifestly homotopy
invariant.
| math.QA math.AT | in this paper we establish the existence of certain structures on the ordinary and equivariant homology of the free loop space on a manifold or more generally a formal poincare duality space these structures namely the loop product the loop bracket and the string bracket were introduced and studied by chas and sullivan under the general heading string topology our method is based on obstruction theory for c_inftyalgebras and rational homotopy theory the resulting string topology operations are manifestly homotopy invariant | [['in', 'this', 'paper', 'we', 'establish', 'the', 'existence', 'of', 'certain', 'structures', 'on', 'the', 'ordinary', 'and', 'equivariant', 'homology', 'of', 'the', 'free', 'loop', 'space', 'on', 'a', 'manifold', 'or', 'more', 'generally', 'a', 'formal', 'poincare', 'duality', 'space', 'these', 'structures', 'namely', 'the', 'loop', 'product', 'the', 'loop', 'bracket', 'and', 'the', 'string', 'bracket', 'were', 'introduced', 'and', 'studied', 'by', 'chas', 'and', 'sullivan', 'under', 'the', 'general', 'heading', 'string', 'topology', 'our', 'method', 'is', 'based', 'on', 'obstruction', 'theory', 'for', 'c_inftyalgebras', 'and', 'rational', 'homotopy', 'theory', 'the', 'resulting', 'string', 'topology', 'operations', 'are', 'manifestly', 'homotopy', 'invariant']] | [-0.20663476912850906, 0.12325099225006537, -0.125181155445997, 0.15925588716327407, -0.0935000021148611, -0.11894194839269291, 0.008480884823200788, 0.3278395216912031, -0.3053300559152792, -0.25195556688179943, 0.10995940722231926, -0.16526084044879233, -0.2305578792174519, 0.14961927632203348, -0.140155576399447, 0.027448222627518355, 0.03443071847482596, 0.1214413841450472, -0.09775844800435467, -0.24767585576297774, 0.452524302009907, 0.03821356831417407, 0.26786421053515774, 0.021441916028974738, 0.12693014846148867, 0.009871113999390307, -0.05504681533317507, 0.037291091863198185, -0.1625559892286949, 0.18722824639221078, 0.2152042403978146, 0.04730189023654402, 0.11795032994798672, -0.44170432567688417, -0.15869580060933475, 0.06513338450940302, 0.09181541134747044, 0.02064235990487591, -0.0034146589645118824, -0.3134768203383795, 0.10578889788392885, -0.16861519376160922, -0.08433659999619847, -0.11349259238736129, 0.01405391717950503, -0.03243927202290959, -0.16527870630868424, -0.04132193263999566, 0.05788666787154881, 0.11229976428741659, -0.07844318033276516, -0.002521056686183093, -0.058999308688209656, 0.08653426638022525, 0.016720261588623678, 0.09497708878997299, 0.12514704620511627, -0.07161273616136132, -0.17244543972206705, 0.3741234194625307, -0.018931211029857765, -0.25010826916974266, 0.13768902929488247, -0.11673300087891726, -0.22507186452455727, 0.11560507417644983, 0.025983836064920014, 0.1626228097550295, -0.04523120826271213, 0.2420399500722537, -0.058172061280519875, 0.058932032648841906, 0.12296673712424105, -0.014257120430601738, 0.15077976621457456, 0.071575293297316, 0.10084006912362428, 0.10187706231702993, -0.022648787278291067, -0.1931816978081141, -0.3671023580533119, -0.18871276499128636, -0.054052853123227385, 0.10971989152654085, -0.1065010650499859, -0.22890325896671893, 0.3900964146158026, 0.03026693901564512, 0.1386186837270442, 0.13374375461106314, 0.2647825402730823, 0.08500827950810623, 0.033323246244065186, 0.049026300837458285, 0.17408999661558572, 0.21897392227877804, 0.034493751639937176, -0.14312022412770692, -0.038285307275752224, 0.29678117521797065] |
707.4004 | Vesicle shape, molecular tilt, and the suppression of necks | Can the presence of molecular-tilt order significantly affect the shapes of
lipid bilayer membranes, particularly membrane shapes with narrow necks?
Motivated by the propensity for tilt order and the common occurrence of narrow
necks in the intermediate stages of biological processes such as endocytosis
and vesicle trafficking, we examine how tilt order inhibits the formation of
necks in the equilibrium shapes of vesicles. For vesicles with a spherical
topology, point defects in the molecular order with a total strength of $+2$
are required. We study axisymmetric shapes and suppose that there is a
unit-strength defect at each pole of the vesicle. The model is further
simplified by the assumption of tilt isotropy: invariance of the energy with
respect to rotations of the molecules about the local membrane normal. This
isotropy condition leads to a minimal coupling of tilt order and curvature,
giving a high energetic cost to regions with Gaussian curvature and tilt order.
Minimizing the elastic free energy with constraints of fixed area and fixed
enclosed volume determines the allowed shapes. Using numerical calculations, we
find several branches of solutions and identify them with the branches
previously known for fluid membranes. We find that tilt order changes the
relative energy of the branches, suppressing thin necks by making them costly,
leading to elongated prolate vesicles as a generic family of tilt-ordered
membrane shapes.
| cond-mat.soft | can the presence of moleculartilt order significantly affect the shapes of lipid bilayer membranes particularly membrane shapes with narrow necks motivated by the propensity for tilt order and the common occurrence of narrow necks in the intermediate stages of biological processes such as endocytosis and vesicle trafficking we examine how tilt order inhibits the formation of necks in the equilibrium shapes of vesicles for vesicles with a spherical topology point defects in the molecular order with a total strength of 2 are required we study axisymmetric shapes and suppose that there is a unitstrength defect at each pole of the vesicle the model is further simplified by the assumption of tilt isotropy invariance of the energy with respect to rotations of the molecules about the local membrane normal this isotropy condition leads to a minimal coupling of tilt order and curvature giving a high energetic cost to regions with gaussian curvature and tilt order minimizing the elastic free energy with constraints of fixed area and fixed enclosed volume determines the allowed shapes using numerical calculations we find several branches of solutions and identify them with the branches previously known for fluid membranes we find that tilt order changes the relative energy of the branches suppressing thin necks by making them costly leading to elongated prolate vesicles as a generic family of tiltordered membrane shapes | [['can', 'the', 'presence', 'of', 'moleculartilt', 'order', 'significantly', 'affect', 'the', 'shapes', 'of', 'lipid', 'bilayer', 'membranes', 'particularly', 'membrane', 'shapes', 'with', 'narrow', 'necks', 'motivated', 'by', 'the', 'propensity', 'for', 'tilt', 'order', 'and', 'the', 'common', 'occurrence', 'of', 'narrow', 'necks', 'in', 'the', 'intermediate', 'stages', 'of', 'biological', 'processes', 'such', 'as', 'endocytosis', 'and', 'vesicle', 'trafficking', 'we', 'examine', 'how', 'tilt', 'order', 'inhibits', 'the', 'formation', 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707.4005 | An Observed Fundamental Plane Relation for Supermassive Black Holes | We study observed correlations between supermassive black hole (BHs) and the
properties of their host galaxies, and show that the observations define a BH
'fundamental plane' (BHFP), of the form M_BH sigma^(3.0+-0.3)*R_e^(0.43+-0.19),
or M_BH M_bulge^(0.54+-0.17)*sigma^(2.2+-0.5), analogous to the FP of
elliptical galaxies. The BHFP is preferred over a simple relation between M_BH
and any of sigma, M_bulge, M_dyn, or R_e alone at >99.9% significance. The
existence of this BHFP has important implications for the formation of
supermassive BHs and the masses of the very largest black holes, and
immediately resolves several apparent conflicts between the BH masses expected
and measured for outliers in both the M_BH-sigma and M_BH-M_bulge relations.
| astro-ph | we study observed correlations between supermassive black hole bhs and the properties of their host galaxies and show that the observations define a bh fundamental plane bhfp of the form m_bh sigma3003r_e043019 or m_bh m_bulge054017sigma2205 analogous to the fp of elliptical galaxies the bhfp is preferred over a simple relation between m_bh and any of sigma m_bulge m_dyn or r_e alone at 999 significance the existence of this bhfp has important implications for the formation of supermassive bhs and the masses of the very largest black holes and immediately resolves several apparent conflicts between the bh masses expected and measured for outliers in both the m_bhsigma and m_bhm_bulge relations | [['we', 'study', 'observed', 'correlations', 'between', 'supermassive', 'black', 'hole', 'bhs', 'and', 'the', 'properties', 'of', 'their', 'host', 'galaxies', 'and', 'show', 'that', 'the', 'observations', 'define', 'a', 'bh', 'fundamental', 'plane', 'bhfp', 'of', 'the', 'form', 'm_bh', 'sigma3003r_e043019', 'or', 'm_bh', 'm_bulge054017sigma2205', 'analogous', 'to', 'the', 'fp', 'of', 'elliptical', 'galaxies', 'the', 'bhfp', 'is', 'preferred', 'over', 'a', 'simple', 'relation', 'between', 'm_bh', 'and', 'any', 'of', 'sigma', 'm_bulge', 'm_dyn', 'or', 'r_e', 'alone', 'at', '999', 'significance', 'the', 'existence', 'of', 'this', 'bhfp', 'has', 'important', 'implications', 'for', 'the', 'formation', 'of', 'supermassive', 'bhs', 'and', 'the', 'masses', 'of', 'the', 'very', 'largest', 'black', 'holes', 'and', 'immediately', 'resolves', 'several', 'apparent', 'conflicts', 'between', 'the', 'bh', 'masses', 'expected', 'and', 'measured', 'for', 'outliers', 'in', 'both', 'the', 'm_bhsigma', 'and', 'm_bhm_bulge', 'relations']] | [-0.13176538436630061, 0.06910135146996407, -0.04862359968105453, 0.20845614212660868, -0.07880374956353803, -0.07662987449232524, 0.0803627055747626, 0.3492618316836725, -0.097513214484832, -0.33804143530046826, 0.052707186167859514, -0.33887322685707394, -0.04863617016072167, 0.2212096105904153, -0.018730051188825446, 0.0013940887756604336, -0.028240937149918106, -0.04046456047081362, -0.12263202015092928, -0.23604583658417252, 0.33287629853307366, 0.036864942166014256, 0.16465510752609122, -0.025094535645689364, 0.10102488231523155, -0.03051722519508798, -0.014061525540217478, 0.017045308905436058, -0.17730111262586162, 0.06895910591653018, 0.22890459678231556, 0.16567595534583676, 0.2303827232811774, -0.3235454626259542, -0.13116419859035766, 0.1257290963190129, 0.19513287772990276, 0.052099278440403046, -0.12723036558654544, -0.2570699016937864, 0.10645900997463788, -0.20845052164709457, -0.15814373105172522, 0.09276960610855962, 0.12068468729190737, -0.008872872438264366, -0.18107451832740107, 0.24164013599620035, 0.09663555980007225, -0.017074389183005998, -0.10548524521117177, -0.04250987176130587, -0.12130435179727518, 0.11619725165819035, 0.10240677099840315, 0.043543370656025045, 0.19454402332498788, -0.10955693113843902, -0.07716706024197792, 0.39328326530336777, 0.02962385881344013, -0.05077555813939772, 0.21037968175886113, -0.2837280203266261, -0.12331335733984118, 0.01736147657785321, 0.17631606598358565, 0.09934880225875667, -0.13524070527474177, 0.05224640460774111, -0.028223766849559045, 0.26037575739705676, 0.06442130641646196, 0.07792261717231752, 0.44438636279664934, 0.0848648817415532, 0.0054937388016798785, 0.024067387178216007, -0.1060730163639011, -0.011886932060261753, -0.22117658263229042, -0.13365542906049255, -0.09575554225582926, 0.11654699118111596, -0.2316145389679456, -0.09138207715962117, 0.29495471429349596, 0.09385154826270643, 0.2974071510519101, 0.12306089962780406, 0.23931108498647313, 0.07723107970119497, 0.08609203211571499, 0.12460725375007246, 0.3611299078149947, 0.2177127893648554, 0.01578834828611672, -0.278771763367178, 0.035689834675046606, 0.03255807727610118] |
707.4006 | Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory,
regularized by higher covariant derivatives | Two-loop Gell-Mann-Low function is calculated for N=1 supersymmetric
Yang-Mills theory, regularized by higher covariant derivatives. The integrals,
which define it, are shown to be reduced to total derivatives and can be easily
calculated analytically.
| hep-th | twoloop gellmannlow function is calculated for n1 supersymmetric yangmills theory regularized by higher covariant derivatives the integrals which define it are shown to be reduced to total derivatives and can be easily calculated analytically | [['twoloop', 'gellmannlow', 'function', 'is', 'calculated', 'for', 'n1', 'supersymmetric', 'yangmills', 'theory', 'regularized', 'by', 'higher', 'covariant', 'derivatives', 'the', 'integrals', 'which', 'define', 'it', 'are', 'shown', 'to', 'be', 'reduced', 'to', 'total', 'derivatives', 'and', 'can', 'be', 'easily', 'calculated', 'analytically']] | [-0.04683212753426393, 0.1928672412519946, -0.0929324877284029, 0.1937358375152518, -0.08471440184204017, -0.13601141565424554, -0.0843606385135311, 0.3392690479864969, -0.23029995380955584, -0.27621967424912486, 0.08215880660367582, -0.27560733330970194, -0.20785334299537628, 0.11305796716581373, -0.032222389750292194, 0.09616480751291794, -0.021301351186326322, 0.05617405008524656, -0.1672060731524492, -0.34260451185571794, 0.2128059499321834, -0.017440255840911585, 0.1840289092677481, 0.11213388580226284, 0.10774124862954897, -0.017937712809618783, -0.004374287119871416, 0.022387940929654765, -0.1089253674589974, 0.12461276026442647, 0.3095561133368927, 0.03061806136632667, 0.1346239944207756, -0.424156997955459, -0.24445892423939178, 0.05707723165259642, 0.177010955330094, 0.07087331452502814, 0.15246727577794125, -0.2753751584712197, 0.13723756805719697, -0.24760728444465818, -0.20523552959510946, -0.22207210563561497, 0.006688369520227699, -0.09265466856852393, -0.3089754625278361, 0.087663536754382, -0.19272754807025194, -0.04383245680262061, -0.02998689790804158, -0.1636018124066622, -0.1578355088336941, 0.03433822544620318, 0.08958399761157874, 0.1093781845890643, 0.1329980666667004, -0.10627578607048183, -0.10938286258126884, 0.36618590902756243, -0.12566380965975388, -0.3555735904887757, 0.012788123204646742, -0.1904554482522037, -0.10266042302143485, 0.16039984771872268, 0.0631973034948768, 0.2249330976868377, -0.22959029811489232, 0.15961931768962292, 0.055543258704025954, 0.08636141342439634, 0.13827753827140174, -0.011623085161451907, 0.12870455192237654, -0.032130675582105625, 0.05965056010138463, 0.16001878179582385, 0.10221289517357945, -0.17770348168115185, -0.38901568247991447, -0.16135500486501875, -0.16553716104039373, 0.06228182166266967, -0.13473374884094536, -0.13951014623521854, 0.31380303165711027, 0.10846983193529441, 0.07387075575945132, 0.14945838707567685, 0.2606728056870291, 0.3903601952992818, 0.17015198010074742, 0.023425316164160475, 0.24395287577199803, 0.18375369576353798, 0.0037305462002918564, -0.2261316633427187, -0.05020318155669991, 0.23870003702776396] |
707.4007 | Reflection Groups and Polytopes over Finite Fields, III | When the standard representation of a crystallographic Coxeter group is
reduced modulo an odd prime p, one obtains a finite group G^p acting on some
orthogonal space over Z_p . If the Coxeter group has a string diagram, then G^p
will often be the automorphism group of a finite abstract regular polytope. In
parts I and II we established the basics of this construction and enumerated
the polytopes associated to groups of rank at most 4, as well as all groups of
spherical or Euclidean type. Here we extend the range of our earlier criteria
for the polytopality of G^p . Building on this we investigate the class of
3-infinity groups of general rank, and then complete a survey of those locally
toroidal polytopes which can be described by our construction.
| math.CO math.MG | when the standard representation of a crystallographic coxeter group is reduced modulo an odd prime p one obtains a finite group gp acting on some orthogonal space over z_p if the coxeter group has a string diagram then gp will often be the automorphism group of a finite abstract regular polytope in parts i and ii we established the basics of this construction and enumerated the polytopes associated to groups of rank at most 4 as well as all groups of spherical or euclidean type here we extend the range of our earlier criteria for the polytopality of gp building on this we investigate the class of 3infinity groups of general rank and then complete a survey of those locally toroidal polytopes which can be described by our construction | [['when', 'the', 'standard', 'representation', 'of', 'a', 'crystallographic', 'coxeter', 'group', 'is', 'reduced', 'modulo', 'an', 'odd', 'prime', 'p', 'one', 'obtains', 'a', 'finite', 'group', 'gp', 'acting', 'on', 'some', 'orthogonal', 'space', 'over', 'z_p', 'if', 'the', 'coxeter', 'group', 'has', 'a', 'string', 'diagram', 'then', 'gp', 'will', 'often', 'be', 'the', 'automorphism', 'group', 'of', 'a', 'finite', 'abstract', 'regular', 'polytope', 'in', 'parts', 'i', 'and', 'ii', 'we', 'established', 'the', 'basics', 'of', 'this', 'construction', 'and', 'enumerated', 'the', 'polytopes', 'associated', 'to', 'groups', 'of', 'rank', 'at', 'most', '4', 'as', 'well', 'as', 'all', 'groups', 'of', 'spherical', 'or', 'euclidean', 'type', 'here', 'we', 'extend', 'the', 'range', 'of', 'our', 'earlier', 'criteria', 'for', 'the', 'polytopality', 'of', 'gp', 'building', 'on', 'this', 'we', 'investigate', 'the', 'class', 'of', '3infinity', 'groups', 'of', 'general', 'rank', 'and', 'then', 'complete', 'a', 'survey', 'of', 'those', 'locally', 'toroidal', 'polytopes', 'which', 'can', 'be', 'described', 'by', 'our', 'construction']] | [-0.11649669139296748, 0.10751611125044747, -0.09257992508446478, 0.04169135754909803, -0.11829993608625955, -0.10575877917653997, 0.02191895439318614, 0.3473835856857477, -0.31501039776503603, -0.23667841653514188, 0.13851095495647314, -0.22545078615075909, -0.14086910859987256, 0.19341012273798697, -0.11085056468482435, -0.061970321222361235, 0.006693780971545493, 0.11744917716168857, -0.11785626089658763, -0.3273988095097593, 0.3766948433185462, -0.025807054051256273, 0.2195585873005257, -0.030703203421580838, 0.07673325729228964, 0.04509382089599967, -0.044905226823175326, 0.04969224348656098, -0.11937745742670813, 0.12853778054886789, 0.30382734393060673, 0.08638801029519527, 0.21022788356640376, -0.36514813242683886, -0.1642683096276869, 0.18690875422907993, 0.15279860618829844, 0.07192940872755571, -0.01966302647088014, -0.2572606782341609, 0.12623849399824394, -0.19997701884130947, -0.168616004728392, -0.03270213368796249, 0.052460461209193454, 0.014090239437791752, -0.22725091078609694, -0.022384303261787863, 0.10003814019091806, 0.133507811002346, -0.053368378372397274, -0.153129295470535, -0.02420207873376512, 0.09832058152574064, -0.03550065063791408, 0.0388553027441958, 0.06958666009450098, -0.06719526531014708, -0.13591932014242047, 0.4363436334169819, 0.003586714115954237, -0.21401413011335535, 0.16354915896226885, -0.17682010250427993, -0.18065877243861905, 0.1174670371810862, 0.15403853243333288, 0.13093963883920878, -0.031194894813438623, 0.15289907037237072, -0.1297557266734657, 0.09500688104162691, 0.06927564786019502, -0.03611474515628288, 0.1302008881684742, 0.12205097170408408, 0.07606065970867348, 0.12868798726231034, 0.004022911004994967, -0.013786213805360603, -0.36275451421533944, -0.1767266114661652, -0.15438617349627748, 0.07892360418918543, -0.12555491177010936, -0.1712127084738313, 0.4070174620974285, 0.023742904941173038, 0.14307169181302015, 0.11039897146383737, 0.20603576237044763, 0.03930276055007198, 0.07261834778429943, 0.05229230435406862, 0.10341361673749816, 0.1684223737265711, -0.07060550281767064, -0.15731567736293073, -0.028034582503096317, 0.1900009475320985] |
707.4008 | GRBs and Hypernova Explosions of Some Galactic Sources | Knowing the Kerr parameters we can make quantitative calculations of the
rotational energy of black holes. We show that Nova Sco (GRO J1655 - 40), Il
Lupi (4U 1543 - 47), XTE J1550 - 564 and GS 2023 + 338 are relics of gamma-ray
burst (GRB) and Hypernova explosions. They had more than enough rotational
energy to power themselves. In fact, they had so much energy that they would
have disrupted the accretion disk of the black hole that powered them by the
communicated rotational energy, so that the energy delivery was self limiting.
The most important feature in producing high rotational energy in the binary is
low donor (secondary star) mass.
We suggest that V4641 Sgr (XTE J1819 - 254) and GRS 1915 + 105 underwent less
energetic explosions; because of their large donor masses. These explosions
were one or two orders of magnitude lower in energy than that of Nova Sco. Cyg
X - 1 (1956 + 350) had an even less energetic explosion, because of an even
larger donor mass.
We find that in the evolution of the soft X-ray transient sources the donor
(secondary star) is tidally locked with the helium star, which evolved from the
giant, as the hydrogen envelope is stripped off in common envelope evolution.
The tidal locking is transferred from the helium star to the black hole into
which it falls. Depending on the mass of the donor, the black hole can be spun
up to the angular momentum necessary to power the GRB and Hypernova explosion.
The donor decouples, acting as a passive witness to the explosion which, for
the given angular momentum, then proceeds as in the Woosley Collapsar model.
High mass donors which tend to follow from low metallicity give long GRBs
because their lower energy can be accepted by the central engine.
| astro-ph | knowing the kerr parameters we can make quantitative calculations of the rotational energy of black holes we show that nova sco gro j1655 40 il lupi 4u 1543 47 xte j1550 564 and gs 2023 338 are relics of gammaray burst grb and hypernova explosions they had more than enough rotational energy to power themselves in fact they had so much energy that they would have disrupted the accretion disk of the black hole that powered them by the communicated rotational energy so that the energy delivery was self limiting the most important feature in producing high rotational energy in the binary is low donor secondary star mass we suggest that v4641 sgr xte j1819 254 and grs 1915 105 underwent less energetic explosions because of their large donor masses these explosions were one or two orders of magnitude lower in energy than that of nova sco cyg x 1 1956 350 had an even less energetic explosion because of an even larger donor mass we find that in the evolution of the soft xray transient sources the donor secondary star is tidally locked with the helium star which evolved from the giant as the hydrogen envelope is stripped off in common envelope evolution the tidal locking is transferred from the helium star to the black hole into which it falls depending on the mass of the donor the black hole can be spun up to the angular momentum necessary to power the grb and hypernova explosion the donor decouples acting as a passive witness to the explosion which for the given angular momentum then proceeds as in the woosley collapsar model high mass donors which tend to follow from low metallicity give long grbs because their lower energy can be accepted by the central engine | [['knowing', 'the', 'kerr', 'parameters', 'we', 'can', 'make', 'quantitative', 'calculations', 'of', 'the', 'rotational', 'energy', 'of', 'black', 'holes', 'we', 'show', 'that', 'nova', 'sco', 'gro', 'j1655', '40', 'il', 'lupi', '4u', '1543', '47', 'xte', 'j1550', '564', 'and', 'gs', '2023', 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707.4009 | Spin ice behavior in Dy2Sn2-xSbxO7+x/2 and Dy2NbScO7 | We report the magnetic and thermal properties of Dy2Sn2-xSbxO7+x/2, x = 0,
0.25, and 0.5, and Dy2NbScO7. We find evidence for Ising-like single ion ground
states in the Dy2Sn2-xSbxO7+x/2 materials. These materials possess nearly the
same zero point entropy as the canonical spin ices Ho2Ti2O7 and Dy2Ti2O7,
strongly suggesting that they have spin ice states at low temperatures. We also
observe a somewhat reduced zero point entropy in Dy2NbScO7, which is possibly
associated with the higher level of cation disorder. The ice-like states in
these materials with cation disorder on the B-sites of the pyrochlore lattice
provide new evidence for the robust nature of spin ice behavior in the presence
of disorder.
| cond-mat.str-el cond-mat.mtrl-sci | we report the magnetic and thermal properties of dy2sn2xsbxo7x2 x 0 025 and 05 and dy2nbsco7 we find evidence for isinglike single ion ground states in the dy2sn2xsbxo7x2 materials these materials possess nearly the same zero point entropy as the canonical spin ices ho2ti2o7 and dy2ti2o7 strongly suggesting that they have spin ice states at low temperatures we also observe a somewhat reduced zero point entropy in dy2nbsco7 which is possibly associated with the higher level of cation disorder the icelike states in these materials with cation disorder on the bsites of the pyrochlore lattice provide new evidence for the robust nature of spin ice behavior in the presence of disorder | [['we', 'report', 'the', 'magnetic', 'and', 'thermal', 'properties', 'of', 'dy2sn2xsbxo7x2', 'x', '0', '025', 'and', '05', 'and', 'dy2nbsco7', 'we', 'find', 'evidence', 'for', 'isinglike', 'single', 'ion', 'ground', 'states', 'in', 'the', 'dy2sn2xsbxo7x2', 'materials', 'these', 'materials', 'possess', 'nearly', 'the', 'same', 'zero', 'point', 'entropy', 'as', 'the', 'canonical', 'spin', 'ices', 'ho2ti2o7', 'and', 'dy2ti2o7', 'strongly', 'suggesting', 'that', 'they', 'have', 'spin', 'ice', 'states', 'at', 'low', 'temperatures', 'we', 'also', 'observe', 'a', 'somewhat', 'reduced', 'zero', 'point', 'entropy', 'in', 'dy2nbsco7', 'which', 'is', 'possibly', 'associated', 'with', 'the', 'higher', 'level', 'of', 'cation', 'disorder', 'the', 'icelike', 'states', 'in', 'these', 'materials', 'with', 'cation', 'disorder', 'on', 'the', 'bsites', 'of', 'the', 'pyrochlore', 'lattice', 'provide', 'new', 'evidence', 'for', 'the', 'robust', 'nature', 'of', 'spin', 'ice', 'behavior', 'in', 'the', 'presence', 'of', 'disorder']] | [-0.14007025434435388, 0.2844284391030669, -0.03647477032668958, 0.029695512801974525, 0.039024257294781435, -0.14946107384879317, 0.09057979865617632, 0.3769465427253848, -0.23943891799812875, -0.2666731161526709, 0.06348589447840491, -0.3431679547598986, -0.11194969224961143, 0.11138546814114969, 0.059789431786216866, -0.017648377882264484, -0.019816700042721545, -0.00011906317662595659, -0.12083632743886942, -0.20005299401617496, 0.27971358174484257, 0.03708355798766903, 0.2960793909172867, 0.11444699401079425, 0.06636431763192342, -0.03280567750117141, 0.1320685301863841, 0.01552374056479502, -0.16159422918709448, 0.047550489630432645, 0.24888670354837847, -0.07066528509135976, 0.15707339249795008, -0.42373155427348114, -0.21006626714778212, 0.05738106065769201, 0.07952359847606934, 0.1549849287578488, -0.07966540974595314, -0.24411726181578136, 0.050202553171232546, -0.14646559524584876, -0.1693549024324133, -0.12172447978823542, -0.00013491896059468527, -0.015200590769211961, -0.20795502412898867, 0.14041040448888606, 0.11678584049690828, 0.15942919917543916, -0.1484430691914929, -0.2143898783121084, -0.12706370705251244, 0.038469674157100585, 0.053940986710705005, 0.022811743793367173, 0.15945940406853767, -0.13681750235073792, -0.12461311406255743, 0.3657989775605291, -0.06534351255292091, -0.11634375536205055, 0.23878482691334368, -0.23332427185307317, -0.15916726449243376, 0.19324974857801658, 0.10130907479939094, 0.10006065173161642, -0.08838841239878228, 0.03788765351680786, -0.01600029426148144, 0.16411044133548155, -0.026899798990827853, 0.1370212417357018, 0.30344283716996834, 0.1446526238355333, 0.07389072277670221, 0.16819222190291686, -0.14170541578444662, -0.07083671911462933, -0.19420926794235674, -0.2101350883652987, -0.21744721879851875, 0.08826762076171342, -0.10124253962900508, -0.20007488096707335, 0.3527344474786562, 0.1551413773733113, 0.17819292637928624, -0.02880176077118126, 0.1479171219490747, 0.08122064496029308, 0.04633811966594413, 0.052646383724749855, 0.24481203873363264, 0.1400998996823121, 0.11698815234388425, -0.27608261510259774, 0.10638329422179714, -0.01271112471662253] |
707.401 | Stability of general relativistic Miyamoto-Nagai galaxies | The stability of a recently proposed general relativistic model of galaxies
is studied in some detail. This model is a general relativistic version of the
well known Miyamoto-Nagai model that represents well a thick galactic disk. The
stability of the disk is investigated under a general first order perturbation
keeping the spacetime metric frozen (no gravitational radiation is taken into
account). We find that the stability is associated with the thickness of the
disk. We have that flat galaxies have more not-stable modes than the thick ones
i.e., flat galaxies have a tendency to form more complex structures like rings,
bars and spiral arms.
| gr-qc astro-ph | the stability of a recently proposed general relativistic model of galaxies is studied in some detail this model is a general relativistic version of the well known miyamotonagai model that represents well a thick galactic disk the stability of the disk is investigated under a general first order perturbation keeping the spacetime metric frozen no gravitational radiation is taken into account we find that the stability is associated with the thickness of the disk we have that flat galaxies have more notstable modes than the thick ones ie flat galaxies have a tendency to form more complex structures like rings bars and spiral arms | [['the', 'stability', 'of', 'a', 'recently', 'proposed', 'general', 'relativistic', 'model', 'of', 'galaxies', 'is', 'studied', 'in', 'some', 'detail', 'this', 'model', 'is', 'a', 'general', 'relativistic', 'version', 'of', 'the', 'well', 'known', 'miyamotonagai', 'model', 'that', 'represents', 'well', 'a', 'thick', 'galactic', 'disk', 'the', 'stability', 'of', 'the', 'disk', 'is', 'investigated', 'under', 'a', 'general', 'first', 'order', 'perturbation', 'keeping', 'the', 'spacetime', 'metric', 'frozen', 'no', 'gravitational', 'radiation', 'is', 'taken', 'into', 'account', 'we', 'find', 'that', 'the', 'stability', 'is', 'associated', 'with', 'the', 'thickness', 'of', 'the', 'disk', 'we', 'have', 'that', 'flat', 'galaxies', 'have', 'more', 'notstable', 'modes', 'than', 'the', 'thick', 'ones', 'ie', 'flat', 'galaxies', 'have', 'a', 'tendency', 'to', 'form', 'more', 'complex', 'structures', 'like', 'rings', 'bars', 'and', 'spiral', 'arms']] | [-0.1246063834105989, 0.06311718549678844, -0.09529880909882124, 0.11904959983273762, -0.07794353199525944, -0.08145113986039769, -0.07399542715165366, 0.39543980213551266, -0.16932360734338464, -0.2459737073734077, 0.06909399556371303, -0.25671820203294454, -0.1085015239591882, 0.15450668694153066, -0.020757023908550516, -0.0021580500184621627, -0.022468541528423796, -0.021306839599771407, -0.049564859370963235, -0.2402749770836344, 0.34046116662980286, 0.09309719331806653, 0.18440193243469427, -0.06752452244179649, 0.05347038345248664, -0.07416795917958455, -0.005691008479560463, 0.07576982900319458, -0.15528869848732002, 0.047979949123578745, 0.1735184511477218, 0.051457736781319076, 0.2573114003968036, -0.43725607871502925, -0.2607700860905416, 0.0647445114530641, 0.14000459943075202, 0.12172725861801685, -0.09740015276333598, -0.25845133129832815, 0.11311542382915911, -0.18107280739830953, -0.18059351661432427, -0.018289048708432797, 0.03246401952923212, -0.02881587075196134, -0.2069511705539325, 0.09407900274704092, 0.13395765377886737, 0.03344368929206168, -0.10917011924196506, -0.06810806815634544, -0.07413088882486653, 0.07113080663443769, 0.05675306917141074, 0.0533596316524284, 0.16323463550262443, -0.1192690212871807, -0.03969728564662696, 0.4569158649786366, -0.055034935442325024, -0.1652918313403876, 0.1896764236565643, -0.20148747015147678, -0.10634122828690751, 0.1165977307206508, 0.1518231133921343, 0.1478683298331622, -0.12362348743108581, 0.10036746699089474, -0.09737859453409187, 0.17305352410428154, 0.07915588813716347, 0.04314110479916636, 0.2573999220740448, 0.15379957355857257, 0.052932666811314456, 0.15050134615231198, -0.11536917020849323, -0.11771749896765912, -0.279769465015315, -0.12982286823217223, -0.08521585353396978, 0.049616172170555854, -0.1046101019481249, -0.15488154808561164, 0.3868408838300559, 0.05819340200317137, 0.20281032124733173, 0.055987174401186335, 0.3224207722012279, 0.09293808508325296, 0.12169843702803104, 0.12298537178182052, 0.32433544497770816, 0.1708548519832706, 0.0413500774330776, -0.17134530602240014, 0.06890178489887598, 0.0024559215814309214] |
707.4011 | Geometrically Induced Phase Transitions at Large N | Utilizing the large N dual description of a metastable system of branes and
anti-branes wrapping rigid homologous S^2's in a non-compact Calabi-Yau
threefold, we study phase transitions induced by changing the positions of the
S^2's. At leading order in 1/N the effective potential for this system is
computed by the planar limit of an auxiliary matrix model. Beginning at the two
loop correction, the degenerate vacuum energy density of the discrete confining
vacua split, and a potential is generated for the axion. Changing the relative
positions of the S^2's causes discrete jumps in the energetically preferred
confining vacuum and can also obstruct direct brane/anti-brane annihilation
processes. The branes must hop to nearby S^2's before annihilating, thus
significantly increasing the lifetime of the corresponding non-supersymmetric
vacua. We also speculate that misaligned metastable glueball phases may
generate a repulsive inter-brane force which stabilizes the radial mode present
in compact Calabi-Yau threefolds.
| hep-th | utilizing the large n dual description of a metastable system of branes and antibranes wrapping rigid homologous s2s in a noncompact calabiyau threefold we study phase transitions induced by changing the positions of the s2s at leading order in 1n the effective potential for this system is computed by the planar limit of an auxiliary matrix model beginning at the two loop correction the degenerate vacuum energy density of the discrete confining vacua split and a potential is generated for the axion changing the relative positions of the s2s causes discrete jumps in the energetically preferred confining vacuum and can also obstruct direct braneantibrane annihilation processes the branes must hop to nearby s2s before annihilating thus significantly increasing the lifetime of the corresponding nonsupersymmetric vacua we also speculate that misaligned metastable glueball phases may generate a repulsive interbrane force which stabilizes the radial mode present in compact calabiyau threefolds | [['utilizing', 'the', 'large', 'n', 'dual', 'description', 'of', 'a', 'metastable', 'system', 'of', 'branes', 'and', 'antibranes', 'wrapping', 'rigid', 'homologous', 's2s', 'in', 'a', 'noncompact', 'calabiyau', 'threefold', 'we', 'study', 'phase', 'transitions', 'induced', 'by', 'changing', 'the', 'positions', 'of', 'the', 's2s', 'at', 'leading', 'order', 'in', '1n', 'the', 'effective', 'potential', 'for', 'this', 'system', 'is', 'computed', 'by', 'the', 'planar', 'limit', 'of', 'an', 'auxiliary', 'matrix', 'model', 'beginning', 'at', 'the', 'two', 'loop', 'correction', 'the', 'degenerate', 'vacuum', 'energy', 'density', 'of', 'the', 'discrete', 'confining', 'vacua', 'split', 'and', 'a', 'potential', 'is', 'generated', 'for', 'the', 'axion', 'changing', 'the', 'relative', 'positions', 'of', 'the', 's2s', 'causes', 'discrete', 'jumps', 'in', 'the', 'energetically', 'preferred', 'confining', 'vacuum', 'and', 'can', 'also', 'obstruct', 'direct', 'braneantibrane', 'annihilation', 'processes', 'the', 'branes', 'must', 'hop', 'to', 'nearby', 's2s', 'before', 'annihilating', 'thus', 'significantly', 'increasing', 'the', 'lifetime', 'of', 'the', 'corresponding', 'nonsupersymmetric', 'vacua', 'we', 'also', 'speculate', 'that', 'misaligned', 'metastable', 'glueball', 'phases', 'may', 'generate', 'a', 'repulsive', 'interbrane', 'force', 'which', 'stabilizes', 'the', 'radial', 'mode', 'present', 'in', 'compact', 'calabiyau', 'threefolds']] | [-0.18301571738881203, 0.22738870417071436, -0.052723206232783176, 0.10336577563449716, -0.045582373514021404, -0.15431946726990925, 0.05200705734228453, 0.32886136421971274, -0.21317397192708099, -0.2569107976460817, 0.05828937875644473, -0.24575572388384165, -0.06830925255195057, 0.07285407933269021, -0.04441796060989067, -0.027640043337510637, 0.027017855001050955, 0.019938994380301677, -0.08209663227469279, -0.24796262231574162, 0.3431093579958249, 0.005069133238054362, 0.26489202330051453, 0.060387107390510356, 0.10062661861075752, -0.02902847499549139, 0.02446367744756425, -0.0065960976195165374, -0.12227523863658774, 0.08179831824924846, 0.1988433368204024, -0.007176103882941624, 0.13118935372655424, -0.4536719596225943, -0.16282264928289708, 0.17729947900387064, 0.20467635974813028, 0.1531821151799991, -0.02898120769727725, -0.3003207324322738, 0.0554972679265181, -0.16217725885791343, -0.2029152490361125, -0.04085546561857473, 0.04549133917629319, -0.029230625367482763, -0.24707981879391627, 0.05115736198268562, 0.007175545278718248, -0.012430917259130703, -0.0765490707310054, -0.06794614800339527, -0.10657092101321924, 0.08256398861440237, 0.08769257320481784, 0.07515820705381866, 0.1650664349861643, -0.1536360020189071, -0.11417041705208737, 0.3459658721343133, -0.08148687222469347, -0.15699457398447014, 0.14093363411324536, -0.11024868139075568, -0.12167411325061882, 0.21779142292653955, 0.11415980044352328, 0.15584314207588604, -0.07385401725269004, 0.13695309724894683, 0.04047043869293751, 0.1300538061100727, 0.11895766637706817, 0.02300199437355185, 0.2987440403882139, 0.12661254519109158, 0.07025135253109163, 0.15117739103484473, -0.08518909766563783, -0.14797297273074972, -0.3722779089178665, -0.11508128644536006, -0.13125154425389282, 0.08536820327425564, -0.1344229184990966, -0.1630857570453128, 0.37844277751763294, 0.021455732197657028, 0.22764655747513393, -0.0019702789406510907, 0.25028581000339467, 0.06219371154298068, 0.06341092425223514, 0.014353524747417128, 0.2690005682583823, 0.0926404313274953, 0.06801365369668343, -0.2690986769348883, -0.06799257296331276, 0.12111984215045485] |
707.4012 | Real space information from Fluctuation electron microscopy:
Applications to amorphous silicon | Ideal models of complex materials must satisfy all available information
about the system. Generally, this information consists of experimental data,
information implicit to sophisticated interatomic interactions and potentially
other {\it a priori} information. By jointly imposing first-principles or
tight-binding information in conjunction with experimental data, we have
developed a method: Experimentally Constrained Molecular Relaxation (ECMR) that
uses {\it all} of the information available. We apply the method to model
medium range order in amorphous silicon using Fluctuation Electron microscopy
(FEM) data as experimental information. The paracrystalline model of medium
range order is examined, and a new model based on voids in amorphous silicon is
proposed. Our work suggests that films of amorphous silicon showing medium
range order (in FEM experiments) can be accurately represented by a continuous
random network model with inhomogeneities consisting of ordered grains and
voids dispersed in the network.
| cond-mat.dis-nn cond-mat.mtrl-sci | ideal models of complex materials must satisfy all available information about the system generally this information consists of experimental data information implicit to sophisticated interatomic interactions and potentially other it a priori information by jointly imposing firstprinciples or tightbinding information in conjunction with experimental data we have developed a method experimentally constrained molecular relaxation ecmr that uses it all of the information available we apply the method to model medium range order in amorphous silicon using fluctuation electron microscopy fem data as experimental information the paracrystalline model of medium range order is examined and a new model based on voids in amorphous silicon is proposed our work suggests that films of amorphous silicon showing medium range order in fem experiments can be accurately represented by a continuous random network model with inhomogeneities consisting of ordered grains and voids dispersed in the network | [['ideal', 'models', 'of', 'complex', 'materials', 'must', 'satisfy', 'all', 'available', 'information', 'about', 'the', 'system', 'generally', 'this', 'information', 'consists', 'of', 'experimental', 'data', 'information', 'implicit', 'to', 'sophisticated', 'interatomic', 'interactions', 'and', 'potentially', 'other', 'it', 'a', 'priori', 'information', 'by', 'jointly', 'imposing', 'firstprinciples', 'or', 'tightbinding', 'information', 'in', 'conjunction', 'with', 'experimental', 'data', 'we', 'have', 'developed', 'a', 'method', 'experimentally', 'constrained', 'molecular', 'relaxation', 'ecmr', 'that', 'uses', 'it', 'all', 'of', 'the', 'information', 'available', 'we', 'apply', 'the', 'method', 'to', 'model', 'medium', 'range', 'order', 'in', 'amorphous', 'silicon', 'using', 'fluctuation', 'electron', 'microscopy', 'fem', 'data', 'as', 'experimental', 'information', 'the', 'paracrystalline', 'model', 'of', 'medium', 'range', 'order', 'is', 'examined', 'and', 'a', 'new', 'model', 'based', 'on', 'voids', 'in', 'amorphous', 'silicon', 'is', 'proposed', 'our', 'work', 'suggests', 'that', 'films', 'of', 'amorphous', 'silicon', 'showing', 'medium', 'range', 'order', 'in', 'fem', 'experiments', 'can', 'be', 'accurately', 'represented', 'by', 'a', 'continuous', 'random', 'network', 'model', 'with', 'inhomogeneities', 'consisting', 'of', 'ordered', 'grains', 'and', 'voids', 'dispersed', 'in', 'the', 'network']] | [-0.06178357419033181, 0.10141649318229355, -0.0825629533439855, 0.03011972878643141, -0.07349052084413107, -0.1278521902334522, 0.026457249586598317, 0.44402265710703714, -0.26534556749016114, -0.33750879955084495, 0.08450266156709609, -0.3236251762792678, -0.12495149443955751, 0.15184641232497623, 0.01241783594260071, 0.10309242908383759, 0.06089750024109659, -0.0507933811405936, -0.03795083560554547, -0.22758739064595152, 0.28401260501639525, 0.05795005112099395, 0.30445594343842125, 0.04630511510431845, 0.11067864837200368, 0.008625154978674377, -0.012909592829421687, 0.056838181602742364, -0.1470234867347885, 0.14034724771373078, 0.28252593010064386, 0.035144291145884445, 0.2163026772150901, -0.5062718643531413, -0.30714126332977815, 0.055356268836578855, 0.12605485129235705, 0.12390475968082607, -0.05479337579921596, -0.27092659226487537, 0.06650468871049897, -0.16200413845781184, -0.07358221212585628, -0.11188667132617565, -0.03838518504578043, 0.02040277715628101, -0.3003030810603531, 0.09788229979712411, 0.01290109114308225, 0.05421072098387169, -0.07499213805618946, -0.09556625346230133, -0.032366674132710715, 0.07408042404715391, -0.03940750455851076, 0.012848807338946564, 0.19496435650401342, -0.05695047927528463, -0.07090459008369936, 0.3988023150030156, -0.06344694744477468, -0.1610647107369568, 0.16869428735652703, -0.11197552904749, -0.08460218692198396, 0.15206996083233348, 0.15463237091898918, 0.09155140132446524, -0.20919817538840146, 0.029123525866094162, -0.0622567285377365, 0.23754859216262023, 0.004902356315705873, 0.052267555619629334, 0.18554496574937038, 0.25708692329345456, -0.009181509688037487, 0.10773457511300287, -0.09034108062779767, -0.06485233367847043, -0.2214588497299701, -0.13452136992070246, -0.2558059197568505, -0.016505943539119522, -0.12235096578855595, -0.14515755124862345, 0.3442539505227666, 0.19749848956150384, 0.13862147831200608, -0.009357302587374414, 0.31742343777449616, 0.004053468451979504, 0.08794499983974982, 0.0490206927126667, 0.2073745465719364, 0.11969307600028656, 0.11471905814103363, -0.15718212161659145, 0.10910167929086782, 0.005141261437068313] |
707.4013 | Contributions of Cherenkov Light to the Signals from Lead Tungstate
Crystals | Results are presented of detailed measurements of the signals generated by
high-energy electrons and muons in lead tungstate crystals. A significant
fraction of the light produced in these crystals and detected by
photomultiplier tubes is the result of the \v{C}erenkov mechanism. This is
concluded from the angular dependence of the signals and from their time
structure. Depending on the orientation of the crystals and on the particle
type, \v{C}erenkov light may account for up to 15% of the total signals.
| physics.ins-det | results are presented of detailed measurements of the signals generated by highenergy electrons and muons in lead tungstate crystals a significant fraction of the light produced in these crystals and detected by photomultiplier tubes is the result of the vcerenkov mechanism this is concluded from the angular dependence of the signals and from their time structure depending on the orientation of the crystals and on the particle type vcerenkov light may account for up to 15 of the total signals | [['results', 'are', 'presented', 'of', 'detailed', 'measurements', 'of', 'the', 'signals', 'generated', 'by', 'highenergy', 'electrons', 'and', 'muons', 'in', 'lead', 'tungstate', 'crystals', 'a', 'significant', 'fraction', 'of', 'the', 'light', 'produced', 'in', 'these', 'crystals', 'and', 'detected', 'by', 'photomultiplier', 'tubes', 'is', 'the', 'result', 'of', 'the', 'vcerenkov', 'mechanism', 'this', 'is', 'concluded', 'from', 'the', 'angular', 'dependence', 'of', 'the', 'signals', 'and', 'from', 'their', 'time', 'structure', 'depending', 'on', 'the', 'orientation', 'of', 'the', 'crystals', 'and', 'on', 'the', 'particle', 'type', 'vcerenkov', 'light', 'may', 'account', 'for', 'up', 'to', '15', 'of', 'the', 'total', 'signals']] | [-0.08576868557138369, 0.23063513748929837, -0.07848676468711346, 0.011413982936937827, -0.026480334298685192, -0.05485649994225241, 0.05345417190692388, 0.36159594589844346, -0.23169163013226352, -0.3697363764513284, 0.0703276833257405, -0.3588694907957688, -0.03943560076295398, 0.2450625680925441, 0.012677458918187768, 0.01911732541047968, 0.07412312005471904, -0.02003206147928722, -0.0423085080110468, -0.18666301706980448, 0.25061868119519204, 0.11274372963234783, 0.2832222666591406, 0.09994061268516816, 0.1381481439457275, -0.0001804778352379799, -0.08702099256915971, -0.019305286440066995, -0.07823007055194467, 0.06026984392956365, 0.17895546749932692, 0.055297512793913484, 0.1321322366158711, -0.47938672280870376, -0.1992022901540622, 0.08561584498384037, 0.08742385103250853, 0.081392252643127, -0.10261575455369894, -0.30292042992077767, 0.0930364852247294, -0.09539785963715985, -0.11180757892871043, 0.01810380556853488, -0.03684411403373815, 0.08448382440255955, -0.21177364131217474, 0.07423778923694044, 0.06671497698771418, 0.024536874808836727, -0.07424138432543259, -0.11995918630273081, -0.01387155024567619, 0.06019563716254197, 0.09451700335484929, 0.010600131016690283, 0.16135032517195214, -0.14407141346891877, -0.10937235609162599, 0.40170660687144844, -0.051051161502255124, -0.14614810885395854, 0.15736397253349424, -0.2189755879167933, -0.053544039587723094, 0.2384267285495298, 0.21625087260035797, 0.11579987780423835, -0.14089668004380657, 0.003305043498403393, -0.015001393877901137, 0.19457675822777673, 0.06607888436992652, 0.07461374128470197, 0.24754341739462687, 0.15747452692012304, -0.010898040258325636, 0.12212818452680949, -0.172134023118997, 0.014346383541123942, -0.28984457377300715, -0.16127752810716628, -0.158297524927184, 0.04104959984397283, -0.060283447184338, -0.1059949621965643, 0.4543122759088874, 0.06723757289146307, 0.16709007531171666, -0.05410784292034805, 0.24370812808629125, 0.06333018068980892, 0.08684577215462923, -0.006919777416624129, 0.3207072089891881, 0.13823474383971188, 0.11991667058173335, -0.2217929534439463, 0.06965497251949274, -0.01926067708991468] |
707.4014 | Reversible plasticity in amorphous materials | A fundamental assumption in our understanding of material rheology is that
when microscopic deformations are reversible, the material responds elastically
to external loads. Plasticity, i.e. dissipative and irreversible macroscopic
changes in a material, is assumed to be the consequence of irreversible
microscopic events. Here we show direct evidence for reversible plastic events
at the microscopic scale in both experiments and simulations of two-dimensional
foam. In the simulations, we demonstrate a link between reversible plastic
rearrangement events and pathways in the potential energy landscape of the
system. These findings represent a fundamental change in our understanding of
materials--microscopic reversibility does not necessarily imply elasticity.
| cond-mat.soft cond-mat.mtrl-sci | a fundamental assumption in our understanding of material rheology is that when microscopic deformations are reversible the material responds elastically to external loads plasticity ie dissipative and irreversible macroscopic changes in a material is assumed to be the consequence of irreversible microscopic events here we show direct evidence for reversible plastic events at the microscopic scale in both experiments and simulations of twodimensional foam in the simulations we demonstrate a link between reversible plastic rearrangement events and pathways in the potential energy landscape of the system these findings represent a fundamental change in our understanding of materialsmicroscopic reversibility does not necessarily imply elasticity | [['a', 'fundamental', 'assumption', 'in', 'our', 'understanding', 'of', 'material', 'rheology', 'is', 'that', 'when', 'microscopic', 'deformations', 'are', 'reversible', 'the', 'material', 'responds', 'elastically', 'to', 'external', 'loads', 'plasticity', 'ie', 'dissipative', 'and', 'irreversible', 'macroscopic', 'changes', 'in', 'a', 'material', 'is', 'assumed', 'to', 'be', 'the', 'consequence', 'of', 'irreversible', 'microscopic', 'events', 'here', 'we', 'show', 'direct', 'evidence', 'for', 'reversible', 'plastic', 'events', 'at', 'the', 'microscopic', 'scale', 'in', 'both', 'experiments', 'and', 'simulations', 'of', 'twodimensional', 'foam', 'in', 'the', 'simulations', 'we', 'demonstrate', 'a', 'link', 'between', 'reversible', 'plastic', 'rearrangement', 'events', 'and', 'pathways', 'in', 'the', 'potential', 'energy', 'landscape', 'of', 'the', 'system', 'these', 'findings', 'represent', 'a', 'fundamental', 'change', 'in', 'our', 'understanding', 'of', 'materialsmicroscopic', 'reversibility', 'does', 'not', 'necessarily', 'imply', 'elasticity']] | [-0.14613941433273403, 0.20062988970940018, -0.09416476108462495, 0.029808465690425067, -0.04988691514796194, -0.0913146967730284, 0.050631488657410385, 0.3759995539690934, -0.31100569060985367, -0.2694058054510285, 0.0435867324476039, -0.2673331413728495, -0.22053086244519435, 0.17515899191208767, -0.05049868008719903, 0.03240846789569831, 0.04919453504878808, -0.003984040053396979, -0.028128495592824824, -0.1282842052123491, 0.23932944091183006, 0.07235996396846923, 0.314882105887484, 0.09577004944759548, 0.10241819513212963, -0.028645981317751257, -0.01455996952512685, 0.041754588238237536, -0.1552951051788684, 0.03916938094470442, 0.2607401304412633, 0.013039639210511073, 0.2231090979253435, -0.5366440696240056, -0.28722998785658505, 0.09004503554281067, 0.06860892623023805, 0.14807961749679902, -0.05125832097381171, -0.20464986002109214, 0.04901365496619951, -0.11959082978394102, -0.11118376991875908, -0.09003716127892189, 0.04475810168785792, 0.05252185130695009, -0.22423137419893607, 0.13790116642428307, 0.14005374886647926, 0.051933245618106326, -0.1351501761944782, 0.015982284992431088, -0.05876638841879207, 0.08467181570806276, 0.05205063578928364, -0.018380968868002005, 0.25286290202947226, -0.1360876319984741, -0.1102351369016676, 0.4043320138167188, 0.007803978533118817, -0.19893274929228366, 0.24182274279768998, -0.15141022235027277, -0.13287603373949727, 0.16297530355479786, 0.17368845169332026, 0.050271056418982794, -0.17557153383149496, 0.02339961515641406, 0.01700329464659387, 0.20043959558996208, 0.005649026923849448, 0.0062102514784783125, 0.2605947641947982, 0.2539014740933792, -0.00036253067482189803, 0.1059661143540414, -0.028057447570723062, -0.14928472851969155, -0.3584132846033968, -0.2133130749856469, -0.1868235523054632, 0.10649483233439741, -0.09116019498298342, -0.16605846872370617, 0.33422439397933584, 0.1372054719603529, 0.16357194675662207, 0.02069154544276934, 0.21797964517164098, 0.029617738346204014, 0.06966144812074215, 0.022261607643289893, 0.2820686481929585, 0.12015315389954577, 0.0940826620870069, -0.24506670371720604, 0.13746208241026775, -0.002615863174273103] |
707.4015 | Supersymmetry and Lie groups | We construct all vacuum states of $\mathcal{N}=2$ supersymmetric Yang-Mills
quantum mechanics (for SU(N) group) and discuss their origin from the SU(N)
real cohomology.
| math-ph math.MP | we construct all vacuum states of mathcaln2 supersymmetric yangmills quantum mechanics for sun group and discuss their origin from the sun real cohomology | [['we', 'construct', 'all', 'vacuum', 'states', 'of', 'mathcaln2', 'supersymmetric', 'yangmills', 'quantum', 'mechanics', 'for', 'sun', 'group', 'and', 'discuss', 'their', 'origin', 'from', 'the', 'sun', 'real', 'cohomology']] | [-0.09106927227390849, 0.23773434142703595, -0.07847939447484627, 0.15689234504395205, -0.031148392605878737, -0.12244642744569675, -0.05502394851013694, 0.3043990401632112, -0.15310875132032062, -0.2682715053467647, 0.10021048528142273, -0.27858071996951883, -0.22587492568013462, 0.06939892422245897, -0.09681001945358256, 0.07889592615158661, 0.01862191538447919, 0.09889924740823715, -0.1416668460663894, -0.24329395365455878, 0.34064766278733377, -0.08579772012814393, 0.20184550612517024, 0.014386199657683786, 0.09090612654614708, 0.013515644605554964, 0.018361198432419613, -0.12211207648658234, -0.093808658623501, 0.12818919942947105, 0.268947234802434, 0.10272556672925534, 0.04371665045619011, -0.4972333169501761, -0.21861932050112798, 0.13856481708100307, 0.10943168320733568, 0.15042586576031602, -0.02294814343685689, -0.38533135795074963, 0.05022268300957006, -0.18576165256292923, -0.2182829512850098, -0.07083749260915362, 0.028857298762254093, -0.20127590697096742, -0.11396093480288982, 0.03121527478746746, -0.13367120087470696, 0.13560281284963308, -0.08393346526376579, -0.09590318640086638, -0.1331628833937904, 0.1560093146627364, 0.06990876753369103, 0.007410284840380368, 0.2305400668967353, -0.22243569443083328, -0.25215113446440385, 0.46147851589257305, -0.022659005273295486, -0.14789032288219617, 0.16963992547243834, -0.236169188161907, -0.20264805511207037, 0.04839695844313373, 0.06455271676911609, 0.1771369976517947, 0.0071466592666895494, 0.2876684133585988, -0.10112487585486277, 0.03293663490077724, 0.0672135315126861, 0.07078602889795667, 0.3079953067328619, -0.009884629115138365, 0.025954222124393866, 0.09930409408052979, -0.0020921175854037638, -0.19243100542656105, -0.46028635569888615, -0.24663982850135022, -0.11650928725873161, 0.20161616249495876, -0.13666648284023444, -0.1669190261998902, 0.40281029547686165, 0.1696236627176404, 0.12162666618014159, 0.11496508012161306, 0.10720061235453772, 0.021573121618965397, -0.021853856550043693, 0.06145793794775787, 0.2517360947702242, 0.2867456985151638, 0.05784892639064271, -0.2739597221573248, -0.2740862819204188, 0.27400889162622066] |
707.4016 | Loop Corrections and Naturalness in a Chiral Effective Field Theory | The loop expansion is applied to a chiral effective hadronic lagrangian; with
the techniques of Infrared Regularization, it is possible to separate out the
short-range contributions and to write them as local products of fields that
are already present in our lagrangian. (The appropriate field variables must be
re-defined at each order in loops.) The corresponding parameters implicitly
include short-range effects to all orders in the interaction, so these effects
need not be calculated explicitly. The remaining (long-range) contributions
that must be calculated are nonlocal and resemble those in conventional
nuclear-structure calculations. Nonlinear isoscalar scalar $(\sigma)$ and
vector $(\omega)$ meson interactions are included, which incorporate
many-nucleon forces and nucleon substructure. Calculations are carried out at
the two-loop level to illustrate these techniques at finite nuclear densities
and to verify that the coupling parameters remain natural when fitted to the
empirical properties of equilibrium nuclear matter. Contributions from the
$\omega N$ tensor coupling are also discussed.
| nucl-th | the loop expansion is applied to a chiral effective hadronic lagrangian with the techniques of infrared regularization it is possible to separate out the shortrange contributions and to write them as local products of fields that are already present in our lagrangian the appropriate field variables must be redefined at each order in loops the corresponding parameters implicitly include shortrange effects to all orders in the interaction so these effects need not be calculated explicitly the remaining longrange contributions that must be calculated are nonlocal and resemble those in conventional nuclearstructure calculations nonlinear isoscalar scalar sigma and vector omega meson interactions are included which incorporate manynucleon forces and nucleon substructure calculations are carried out at the twoloop level to illustrate these techniques at finite nuclear densities and to verify that the coupling parameters remain natural when fitted to the empirical properties of equilibrium nuclear matter contributions from the omega n tensor coupling are also discussed | [['the', 'loop', 'expansion', 'is', 'applied', 'to', 'a', 'chiral', 'effective', 'hadronic', 'lagrangian', 'with', 'the', 'techniques', 'of', 'infrared', 'regularization', 'it', 'is', 'possible', 'to', 'separate', 'out', 'the', 'shortrange', 'contributions', 'and', 'to', 'write', 'them', 'as', 'local', 'products', 'of', 'fields', 'that', 'are', 'already', 'present', 'in', 'our', 'lagrangian', 'the', 'appropriate', 'field', 'variables', 'must', 'be', 'redefined', 'at', 'each', 'order', 'in', 'loops', 'the', 'corresponding', 'parameters', 'implicitly', 'include', 'shortrange', 'effects', 'to', 'all', 'orders', 'in', 'the', 'interaction', 'so', 'these', 'effects', 'need', 'not', 'be', 'calculated', 'explicitly', 'the', 'remaining', 'longrange', 'contributions', 'that', 'must', 'be', 'calculated', 'are', 'nonlocal', 'and', 'resemble', 'those', 'in', 'conventional', 'nuclearstructure', 'calculations', 'nonlinear', 'isoscalar', 'scalar', 'sigma', 'and', 'vector', 'omega', 'meson', 'interactions', 'are', 'included', 'which', 'incorporate', 'manynucleon', 'forces', 'and', 'nucleon', 'substructure', 'calculations', 'are', 'carried', 'out', 'at', 'the', 'twoloop', 'level', 'to', 'illustrate', 'these', 'techniques', 'at', 'finite', 'nuclear', 'densities', 'and', 'to', 'verify', 'that', 'the', 'coupling', 'parameters', 'remain', 'natural', 'when', 'fitted', 'to', 'the', 'empirical', 'properties', 'of', 'equilibrium', 'nuclear', 'matter', 'contributions', 'from', 'the', 'omega', 'n', 'tensor', 'coupling', 'are', 'also', 'discussed']] | [-0.09125132079446507, 0.19531832107477973, -0.09591650117015947, 0.1284536241914236, -0.08521367737783059, -0.10942427468215746, -0.013913059617663103, 0.3714771621913138, -0.24976097601916522, -0.276445398918323, 0.03419640053424143, -0.31573825622758556, -0.09869264519412911, 0.09992382043912526, 0.08427606468359308, 0.026859184495744204, 0.00949034372705125, 0.053244219191612735, -0.07045850335477641, -0.25232462136134987, 0.33370912179591194, 0.010373157379968512, 0.1808465016044436, 0.1034047057942277, 0.03482872166280304, -0.025270553151776474, -0.04583657634474578, 0.046118956371661156, -0.1025180255145026, 0.06178124600030001, 0.27430428909475824, 0.00896305654610079, 0.19124049836874848, -0.4586930032338827, -0.21582105553168202, 0.07742987597180952, 0.1365590403487365, 0.11085551167733126, 0.03221571253943107, -0.2647144698688099, 0.07539314061493403, -0.17679054377780806, -0.1472084986301319, -0.19294161569447288, -0.008647395411295996, 0.01841925559565425, -0.2987093332644192, 0.06694283080174618, -0.003839174678338872, 0.010342589019884114, -0.053057415534051196, -0.20078837295934077, -0.04030354484585264, 0.14139800814615053, 0.08873640456567368, 0.05598058350808588, 0.176942642832235, -0.14039726043120027, -0.08145585634648018, 0.3951088197228889, -0.04562510862315614, -0.23283820087540774, 0.15553068361590586, -0.13108093735551643, -0.1421487667267361, 0.1398556597080202, 0.14062436907101541, 0.07765907412150784, -0.20434866509627506, 0.11208451940910891, 0.04256328822924726, 0.15030383681803342, 0.04777438636688936, 0.05320782345389166, 0.19489110101374887, 0.05874247240172999, -0.00872866089846338, 0.07408487765313757, -0.04632674047916812, -0.13214801078579658, -0.3710153328074563, -0.04668123597699788, -0.13095372805987754, 0.019273614078373347, -0.0800728957134021, -0.11493157878097507, 0.3464289276109588, 0.14848667313870523, 0.1729159844201809, -0.006945403424211808, 0.3134562015503405, 0.1220708457017017, 0.14362319040322497, 0.06310664439393628, 0.3115927659140359, 0.1768194923477788, 0.04446579874643395, -0.2597113248531617, -0.004935864672335165, 0.05345131408708591] |
707.4017 | Casimir forces in a T operator approach | We explore the scattering approach to Casimir forces. Our main tool is the
description of Casimir energy in terms of transition operators, as presented in
Kenneth and Klich, Phys. Rev. Lett. 97, 160401 (2006). We study the convergence
properties of the formula and how to utilize it, together with scattering data
to compute the force. We illustrate the approach by describing the force
between scatterers in 1d and 3d,, and in particular show how it may be applied
in order to study the interaction between two spherical bodies at all
distances.
| quant-ph cond-mat.stat-mech hep-th math-ph math.MP | we explore the scattering approach to casimir forces our main tool is the description of casimir energy in terms of transition operators as presented in kenneth and klich phys rev lett 97 160401 2006 we study the convergence properties of the formula and how to utilize it together with scattering data to compute the force we illustrate the approach by describing the force between scatterers in 1d and 3d and in particular show how it may be applied in order to study the interaction between two spherical bodies at all distances | [['we', 'explore', 'the', 'scattering', 'approach', 'to', 'casimir', 'forces', 'our', 'main', 'tool', 'is', 'the', 'description', 'of', 'casimir', 'energy', 'in', 'terms', 'of', 'transition', 'operators', 'as', 'presented', 'in', 'kenneth', 'and', 'klich', 'phys', 'rev', 'lett', '97', '160401', '2006', 'we', 'study', 'the', 'convergence', 'properties', 'of', 'the', 'formula', 'and', 'how', 'to', 'utilize', 'it', 'together', 'with', 'scattering', 'data', 'to', 'compute', 'the', 'force', 'we', 'illustrate', 'the', 'approach', 'by', 'describing', 'the', 'force', 'between', 'scatterers', 'in', '1d', 'and', '3d', 'and', 'in', 'particular', 'show', 'how', 'it', 'may', 'be', 'applied', 'in', 'order', 'to', 'study', 'the', 'interaction', 'between', 'two', 'spherical', 'bodies', 'at', 'all', 'distances']] | [-0.06844256405339955, 0.07867719332308887, -0.1001613622961136, 0.01740487308400059, -0.019177260012928764, -0.052087700506160545, 0.01273465308023023, 0.3641368075693538, -0.21167768681406524, -0.34237013789978654, -0.004756609107122071, -0.3049532780116731, -0.21492124465550042, 0.2002850237947244, -0.0521733142892257, 0.01827321808457702, 0.014914924997815883, -0.020288718698014106, -0.04818415006233768, -0.2184104055862178, 0.28836800655411493, 0.05542929948481557, 0.2661569883003012, 0.13221551329511536, 0.042892809922725046, 0.06359480604130242, 0.0007486828183243563, 0.003778794432406897, -0.19325444151412, 0.11413247195573953, 0.226015999350968, 0.04201282514770935, 0.19960196963050864, -0.4433499541297391, -0.1711965455868087, 0.0873845771420747, 0.07720849624128787, 0.13175061399342267, 0.013812610810458825, -0.29760287978410066, 0.03479120475998031, -0.19248505427942172, -0.15573074584724483, -0.1488089285033581, 0.07832460891414475, 0.03821483651012346, -0.25844820541237573, 0.09785988894649424, 0.059836718773182765, 0.02854949444536232, -0.06761487196762483, -0.03434804359266719, 0.009646870735725696, 0.101118770627571, 0.05617751795440339, 0.03292504961571687, 0.08994147278225192, -0.06673007338706936, -0.09756394354933566, 0.40291630136933954, -0.06871961898062952, -0.18431064546374337, 0.25227073381480936, -0.15892374001259169, -0.06616414770238348, 0.05835137147249163, 0.2183983307843516, 0.11780922139411444, -0.19876682819737182, 0.09762486226723663, -0.013665128315051834, 0.10160464759670444, 0.10567933060024139, -0.013964240263973537, 0.1492773592983792, 0.11602218950341282, -0.013100411164686902, 0.15538292301301895, -0.09341447199131925, -0.0989739954174793, -0.3274353647215681, -0.1807169052516366, -0.21391448987376682, 0.025073962091662728, -0.020813029693761982, -0.1188726310295521, 0.3580872657616715, 0.22776878952268756, 0.23117299918290024, 0.012933219649962016, 0.2610127008724753, 0.09389883342741447, 0.04095093603501772, 0.10103079480129284, 0.2874976285723048, 0.18970736608697245, 0.08007903422157352, -0.26524817741957013, -0.039491649804084185, 0.10784585803432473] |
707.4018 | Adaptive Multigrid Algorithm for Lattice QCD | We present a new multigrid solver that is suitable for the Dirac operator in
the presence of disordered gauge fields. The key behind the success of the
algorithm is an adaptive projection onto the coarse grids that preserves the
near null space. The resulting algorithm has weak dependence on the gauge
coupling and exhibits very little critical slowing down in the chiral limit.
Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger
model.
| hep-lat | we present a new multigrid solver that is suitable for the dirac operator in the presence of disordered gauge fields the key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space the resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit results are presented for the wilson dirac operator of the 2d u1 schwinger model | [['we', 'present', 'a', 'new', 'multigrid', 'solver', 'that', 'is', 'suitable', 'for', 'the', 'dirac', 'operator', 'in', 'the', 'presence', 'of', 'disordered', 'gauge', 'fields', 'the', 'key', 'behind', 'the', 'success', 'of', 'the', 'algorithm', 'is', 'an', 'adaptive', 'projection', 'onto', 'the', 'coarse', 'grids', 'that', 'preserves', 'the', 'near', 'null', 'space', 'the', 'resulting', 'algorithm', 'has', 'weak', 'dependence', 'on', 'the', 'gauge', 'coupling', 'and', 'exhibits', 'very', 'little', 'critical', 'slowing', 'down', 'in', 'the', 'chiral', 'limit', 'results', 'are', 'presented', 'for', 'the', 'wilson', 'dirac', 'operator', 'of', 'the', '2d', 'u1', 'schwinger', 'model']] | [-0.14628033037902183, 0.14735096206381318, -0.0858277366919951, 0.055127591139624836, -0.06781839806731645, -0.1310153510119137, 0.008244166589136442, 0.36864958248742213, -0.22260242366752067, -0.231057948000463, 0.08920265047496499, -0.260057731725082, -0.1553568301794978, 0.15804635907233053, -0.016520103433641135, 0.06163475361301914, 0.0163509775703023, 0.015799787693790028, -0.13607885775023273, -0.22570652428820923, 0.34618491317786565, 0.06713103643291957, 0.31180667444192744, 0.05820006816103667, 0.1426144970290653, 0.008925750803250771, 0.040038594770450874, -0.019556530899830865, -0.06494211903323462, 0.07217727411635123, 0.1314679052825872, 0.038298693201323224, 0.22713430046841696, -0.3938716629084635, -0.1738717502660372, 0.04737358145542781, 0.165939788074027, 0.12738621135713993, -0.09415753412683338, -0.29010407179110237, 0.08075545944708895, -0.07714339180293119, -0.16437648967446686, -0.11882864208529134, -0.055795781780034304, -0.06114420347980091, -0.27004423200503574, 0.060912752862681045, 0.0562603863322043, 0.06257098019364979, -0.027122011257021073, -0.08668015492088221, -0.04892751260043739, 0.09221115809345207, 0.06429335526220936, 0.06737450743396464, 0.10999261050079889, -0.1664699764994832, -0.08846321149711049, 0.4290036234472479, -0.09245285712025285, -0.21453482906225246, 0.1662963479031603, -0.12679798136746462, -0.15463603541932322, 0.15634012315299456, 0.14583969408912317, 0.1157122169524528, -0.09908727532579237, 0.19857749434160793, -0.0843244577129069, 0.11425977004177917, 0.012088951917800617, 0.011893329718573526, 0.19950016155572875, 0.1917356847537464, 0.1314599620202532, 0.09951194596791325, -0.10091950212508537, -0.14975132618413925, -0.3394523196938363, -0.15943885538968947, -0.20376783621485356, 0.025353013973247695, -0.16839206800474815, -0.20500599995690894, 0.4010819146808769, 0.19726781988918612, 0.16355758673184878, 0.016594196367379906, 0.2496506923978979, 0.17816347608270197, 0.09123106096423679, 0.07948861592872576, 0.23868916708939744, 0.1580042140195509, 0.12937871448381186, -0.3017869610029466, -0.0281656518905097, 0.17087448655639764] |
707.4019 | Measurement of the Contribution of Neutrons to Hadron Calorimeter
Signals | The contributions of neutrons to hadronic signals from the DREAM calorimeter
are measured by analyzing the time structure of these signals. The neutrons,
which mainly originate from the evaporation stage of nuclear breakup in the
hadronic shower development process, contribute through elastic scattering off
protons in the plastic scintillating fibers which provide the $dE/dx$
information in this calorimeter. This contribution is characterized by an
exponential tail in the pulse shape, with a time constant of $\sim 25$ ns. The
relative contribution of neutrons to the signals increases with the distance
from the shower axis. As expected, the neutrons do not contribute to the DREAM
\v{C}erenkov signals.
| physics.ins-det | the contributions of neutrons to hadronic signals from the dream calorimeter are measured by analyzing the time structure of these signals the neutrons which mainly originate from the evaporation stage of nuclear breakup in the hadronic shower development process contribute through elastic scattering off protons in the plastic scintillating fibers which provide the dedx information in this calorimeter this contribution is characterized by an exponential tail in the pulse shape with a time constant of sim 25 ns the relative contribution of neutrons to the signals increases with the distance from the shower axis as expected the neutrons do not contribute to the dream vcerenkov signals | [['the', 'contributions', 'of', 'neutrons', 'to', 'hadronic', 'signals', 'from', 'the', 'dream', 'calorimeter', 'are', 'measured', 'by', 'analyzing', 'the', 'time', 'structure', 'of', 'these', 'signals', 'the', 'neutrons', 'which', 'mainly', 'originate', 'from', 'the', 'evaporation', 'stage', 'of', 'nuclear', 'breakup', 'in', 'the', 'hadronic', 'shower', 'development', 'process', 'contribute', 'through', 'elastic', 'scattering', 'off', 'protons', 'in', 'the', 'plastic', 'scintillating', 'fibers', 'which', 'provide', 'the', 'dedx', 'information', 'in', 'this', 'calorimeter', 'this', 'contribution', 'is', 'characterized', 'by', 'an', 'exponential', 'tail', 'in', 'the', 'pulse', 'shape', 'with', 'a', 'time', 'constant', 'of', 'sim', '25', 'ns', 'the', 'relative', 'contribution', 'of', 'neutrons', 'to', 'the', 'signals', 'increases', 'with', 'the', 'distance', 'from', 'the', 'shower', 'axis', 'as', 'expected', 'the', 'neutrons', 'do', 'not', 'contribute', 'to', 'the', 'dream', 'vcerenkov', 'signals']] | [-0.03580351825583867, 0.26972161631996605, -0.13845854435326918, 0.053338617400048915, -0.0120383566860461, -0.03708714569857309, -0.009504966536659817, 0.3645013225756867, -0.29876729943965263, -0.32132490546846726, 0.010710087723432566, -0.35149138664413804, 0.0029327931884184197, 0.13786796788917854, 0.024239267354374223, 0.02533834288555707, 0.07966211069823366, 0.01737652504009432, -0.04779991064932338, -0.1511657279279118, 0.25833427575680445, 0.16879589172554607, 0.245024874648255, 0.07484542171664114, 0.09425186932543819, 0.008959765418625946, -0.07002515435868979, -0.08869819420407403, -0.07356892872320593, 0.06067971348375926, 0.2885050412645247, 0.08631018276396647, 0.11532978403584082, -0.4946199872900011, -0.16301989005351403, 0.1084335237688754, 0.11133552460825809, 0.04035002936582731, -0.05189652440472031, -0.28488809553871175, 0.0518449103472895, -0.1913915181637935, -0.1327251112220352, 0.04305334476631065, -0.02418166380551345, 0.05805046041935401, -0.18480272617307492, 0.06579623194762839, 0.06382523845906758, -0.01329833057814471, -0.036744068486545725, -0.15155078655214244, 0.042741100490532535, 0.09856603550724685, 0.14441028383822962, 0.07360380684917371, 0.20491828128941497, -0.15884905848388542, -0.07996063192708874, 0.3617111945630245, -0.03266637736957802, -0.12293955613419695, 0.11204348631941204, -0.2008184643444728, -0.03687626302361989, 0.3291361295213958, 0.2149682645883657, 0.09180765953557433, -0.17562725666508447, -0.0012948885120732604, 0.05838721775216982, 0.2131008096720215, 0.08161774966953639, 0.03307938025737146, 0.2152053050275119, 0.1982247707827175, -0.0069491990538806, 0.11978861531308624, -0.17686447687007767, -0.011771424669104646, -0.3403341627376646, -0.12768451382739926, -0.14284717462043156, 0.05556148800239481, -0.06449975040389823, -0.13547704526100238, 0.36892791767165345, 0.05426168176872691, 0.19217917244477234, -0.013474247442505692, 0.3391294474801365, 0.035200647322267714, 0.08025918555894059, 0.04758112358261846, 0.35074314295823844, 0.17017814965549646, 0.13455281325809235, -0.2363662589055855, 0.1231728042871252, 0.01676878932740469] |
707.402 | Geometric measures of entanglement and the Schmidt decomposition | In the standard geometric approach to a measure of entanglement of a pure
state, $\sin^2\theta$ is used, where $\theta$ is the angle between the state to
the closest separable state of products of normalized qubit states. We consider
here a generalization of this notion to separable states consisting of products
of unnormalized states of different dimension. In so doing, the entanglement
measure $\sin^2\theta$ is found to have an interpretation as the distance
between the state to the closest separable state. We also find the components
of the closest separable state and its norm have an interpretation in terms of,
respectively, the eigenvectors and eigenvalues of the reduced density matrices
arising in the Schmidt decomposition of the state vector.
| quant-ph | in the standard geometric approach to a measure of entanglement of a pure state sin2theta is used where theta is the angle between the state to the closest separable state of products of normalized qubit states we consider here a generalization of this notion to separable states consisting of products of unnormalized states of different dimension in so doing the entanglement measure sin2theta is found to have an interpretation as the distance between the state to the closest separable state we also find the components of the closest separable state and its norm have an interpretation in terms of respectively the eigenvectors and eigenvalues of the reduced density matrices arising in the schmidt decomposition of the state vector | [['in', 'the', 'standard', 'geometric', 'approach', 'to', 'a', 'measure', 'of', 'entanglement', 'of', 'a', 'pure', 'state', 'sin2theta', 'is', 'used', 'where', 'theta', 'is', 'the', 'angle', 'between', 'the', 'state', 'to', 'the', 'closest', 'separable', 'state', 'of', 'products', 'of', 'normalized', 'qubit', 'states', 'we', 'consider', 'here', 'a', 'generalization', 'of', 'this', 'notion', 'to', 'separable', 'states', 'consisting', 'of', 'products', 'of', 'unnormalized', 'states', 'of', 'different', 'dimension', 'in', 'so', 'doing', 'the', 'entanglement', 'measure', 'sin2theta', 'is', 'found', 'to', 'have', 'an', 'interpretation', 'as', 'the', 'distance', 'between', 'the', 'state', 'to', 'the', 'closest', 'separable', 'state', 'we', 'also', 'find', 'the', 'components', 'of', 'the', 'closest', 'separable', 'state', 'and', 'its', 'norm', 'have', 'an', 'interpretation', 'in', 'terms', 'of', 'respectively', 'the', 'eigenvectors', 'and', 'eigenvalues', 'of', 'the', 'reduced', 'density', 'matrices', 'arising', 'in', 'the', 'schmidt', 'decomposition', 'of', 'the', 'state', 'vector']] | [-0.11126267990507817, 0.14436803624982023, -0.10889296575229401, 0.02409406661221726, 0.017611722824937205, -0.0798770398517155, 0.04695383359883296, 0.32567381760957886, -0.31587684371556013, -0.23206038769508192, 0.07594330744596861, -0.2876701667210308, -0.08557632106545744, 0.11960193131245293, -0.043278977989171775, 0.05014669753056635, 0.05922584025725975, 0.13292761142286708, -0.1422005101556937, -0.19077814507921684, 0.38694101763826055, 0.02919229773520413, 0.2636588039863223, 0.021739577504577338, 0.11260197484092313, 0.005643457182193712, 0.027155927121954953, -0.014876248946381827, -0.09366550735371598, 0.14024881179241258, 0.2429018645878818, 0.17175644543219232, 0.24393125626455125, -0.3655635844126849, -0.14153398386147506, 0.17996789472793245, 0.07012012712973154, 0.07740516670963775, 0.05031302553341108, -0.31781090205235374, 0.021527751627125603, -0.2004175352552211, -0.14944475941296856, -0.08205872255582679, 0.05784653637053098, -0.05703598781394125, -0.2548726606735234, 0.10311698674996801, 0.03730673290654954, -0.006215217696296612, -0.07094605747014442, -0.14472029163596867, -0.038944186992011964, 0.1292761395857038, -0.005381952909066074, 0.02420520724065728, 0.0708163263299897, -0.13442236420074952, -0.1291893720626831, 0.32277474686171925, -0.06107781346003383, -0.2331540451179874, 0.18067719284010955, -0.1341756337748493, -0.05661172421759594, 0.06471534140834237, 0.15369591730946708, 0.12499399129617011, -0.0860295059885514, 0.07998708268465726, -0.08170906227512159, 0.1663972377950736, 0.03251564797108709, 0.10732929861583447, 0.12235670104243998, 0.0678761464156905, 0.11948353596078774, 0.21086897184456682, -0.09272463892397108, -0.12803212984492687, -0.30052868141082384, -0.2185226122797388, -0.2598373453168325, 0.08461049712910237, -0.06734661752396555, -0.18682408635899173, 0.42921186327713273, 0.06225032261099225, 0.22952730761114823, 0.01128384606099798, 0.23732132710106038, 0.11940820553582714, 0.01641872203790472, 0.07923585867856518, 0.2779157955171856, 0.22347513529456267, 0.009688661062805835, -0.22980261536145394, 0.05833762618949858, 0.07005303541111554] |
707.4021 | Dual-Readout Calorimetry with Lead Tungstate Crystals | Results are presented of beam tests in which a small electromagnetic
calorimeter consisting of lead tungstate crystals was exposed to 50 GeV
electrons and pions. This calorimeter was backed up by the DREAM Dual-Readout
calorimeter, which measures the scintillation and \v{C}erenkov light produced
in the shower development, using two different media. The signals from the
crystal calorimeter were analyzed in great detail in an attempt to determine
the contributions from these two types of light to the signals, event by event.
This information makes it possible to eliminate the dominating source of
fluctuations and thus achieve an important improvement in hadronic calorimeter
performance.
| physics.ins-det | results are presented of beam tests in which a small electromagnetic calorimeter consisting of lead tungstate crystals was exposed to 50 gev electrons and pions this calorimeter was backed up by the dream dualreadout calorimeter which measures the scintillation and vcerenkov light produced in the shower development using two different media the signals from the crystal calorimeter were analyzed in great detail in an attempt to determine the contributions from these two types of light to the signals event by event this information makes it possible to eliminate the dominating source of fluctuations and thus achieve an important improvement in hadronic calorimeter performance | [['results', 'are', 'presented', 'of', 'beam', 'tests', 'in', 'which', 'a', 'small', 'electromagnetic', 'calorimeter', 'consisting', 'of', 'lead', 'tungstate', 'crystals', 'was', 'exposed', 'to', '50', 'gev', 'electrons', 'and', 'pions', 'this', 'calorimeter', 'was', 'backed', 'up', 'by', 'the', 'dream', 'dualreadout', 'calorimeter', 'which', 'measures', 'the', 'scintillation', 'and', 'vcerenkov', 'light', 'produced', 'in', 'the', 'shower', 'development', 'using', 'two', 'different', 'media', 'the', 'signals', 'from', 'the', 'crystal', 'calorimeter', 'were', 'analyzed', 'in', 'great', 'detail', 'in', 'an', 'attempt', 'to', 'determine', 'the', 'contributions', 'from', 'these', 'two', 'types', 'of', 'light', 'to', 'the', 'signals', 'event', 'by', 'event', 'this', 'information', 'makes', 'it', 'possible', 'to', 'eliminate', 'the', 'dominating', 'source', 'of', 'fluctuations', 'and', 'thus', 'achieve', 'an', 'important', 'improvement', 'in', 'hadronic', 'calorimeter', 'performance']] | [-0.0441937492075331, 0.2100784165801105, -0.0855667028775059, 0.05244178955388951, -0.037596400700581886, -0.07594277609356688, -0.02084596384569858, 0.4030588048609715, -0.21360731290345922, -0.3776657406457709, 0.03462010579753342, -0.37670406266974593, -0.024640369744410792, 0.1895855962687615, -0.011692438301747864, 0.09045107056865993, 0.08270792858403864, -0.01784141814715943, -0.031325596858842245, -0.20484305382932275, 0.2312986062098186, 0.1731929064375683, 0.3049636943982372, 0.06894387618539113, 0.15942296274548884, -0.004395823270190977, -0.08489904827573924, -0.02549584397991884, -0.08153101789439549, 0.06571699735862248, 0.3067600387984941, 0.09100643217165783, 0.16624823544463777, -0.45059780082077655, -0.17098392181785652, 0.07695376631595845, 0.08266465242237793, 0.028378716486311763, -0.09359791534003413, -0.3048609741556558, 0.10823256591022991, -0.18276761376154294, -0.12657163669219584, -0.005301260091002705, -0.06730802586862764, 0.026670052303742725, -0.2237841473910415, -0.029328229751220895, 0.024149445254577198, 0.022964277928604664, -0.010486807317011853, -0.13377340407183086, 0.06090812369710901, 0.09320019296307153, 0.09407538990264089, 0.039243435892909406, 0.13420470765095602, -0.1348127963482538, -0.1281400833152307, 0.3799741057615763, -0.0102372114073024, -0.15092726121656597, 0.16139010332289686, -0.17967165138536287, -0.04806216994698331, 0.28331768024459625, 0.2264579991415568, 0.057541641687298445, -0.25215490810681607, -0.028105938962538664, 0.01390710162016952, 0.20157598187803355, 0.09851001429561417, 0.05007155969268778, 0.20206292852696067, 0.2091008472048397, -0.015913282846579852, 0.17793472751622422, -0.13673765555892176, 0.0024214048606560575, -0.3231907051307538, -0.16246802780270866, -0.11438879214263367, 0.03778993500988858, -0.03678683588084611, -0.13938966371770045, 0.4053673637144774, 0.12971570581487082, 0.12366685835029749, -0.12459985562148097, 0.2942622742136416, -0.015812672796722466, 0.06937488178650225, 0.030289343219178106, 0.34145806230676984, 0.1455783715326954, 0.14005598673162964, -0.16557796043117792, 0.05644868052953366, -0.0032846411346521194] |
707.4022 | Cluster Dual Fermion Approach to Nonlocal Correlations | We formulate a general cluster Dual Fermion Approach to nonlocal correlations
in crystals. The scheme allows the treatment of long-range correlations beyond
cluster DMFT and nonlocal effects in realistic calculations of multiorbital
systems. We show that the the simplest approximation exactly corresponds to
free cluster DMFT. We further consider the relation between the two-particle
Green functions in real and dual variables. We apply this approach by
calculating the Green function of the Hubbard model in one dimension starting
from the two-site cluster DMFT solution. The result agrees well with the Green
function obtained from a DMRG calculation.
| cond-mat.str-el | we formulate a general cluster dual fermion approach to nonlocal correlations in crystals the scheme allows the treatment of longrange correlations beyond cluster dmft and nonlocal effects in realistic calculations of multiorbital systems we show that the the simplest approximation exactly corresponds to free cluster dmft we further consider the relation between the twoparticle green functions in real and dual variables we apply this approach by calculating the green function of the hubbard model in one dimension starting from the twosite cluster dmft solution the result agrees well with the green function obtained from a dmrg calculation | [['we', 'formulate', 'a', 'general', 'cluster', 'dual', 'fermion', 'approach', 'to', 'nonlocal', 'correlations', 'in', 'crystals', 'the', 'scheme', 'allows', 'the', 'treatment', 'of', 'longrange', 'correlations', 'beyond', 'cluster', 'dmft', 'and', 'nonlocal', 'effects', 'in', 'realistic', 'calculations', 'of', 'multiorbital', 'systems', 'we', 'show', 'that', 'the', 'the', 'simplest', 'approximation', 'exactly', 'corresponds', 'to', 'free', 'cluster', 'dmft', 'we', 'further', 'consider', 'the', 'relation', 'between', 'the', 'twoparticle', 'green', 'functions', 'in', 'real', 'and', 'dual', 'variables', 'we', 'apply', 'this', 'approach', 'by', 'calculating', 'the', 'green', 'function', 'of', 'the', 'hubbard', 'model', 'in', 'one', 'dimension', 'starting', 'from', 'the', 'twosite', 'cluster', 'dmft', 'solution', 'the', 'result', 'agrees', 'well', 'with', 'the', 'green', 'function', 'obtained', 'from', 'a', 'dmrg', 'calculation']] | [-0.09034875314682722, 0.05779218961743964, -0.11901300295361693, 0.15017736871539586, -0.005967945789380633, -0.11352715688306339, 0.06479260385679753, 0.354122055444828, -0.23596849707291298, -0.23298840101366652, -0.021638593348415242, -0.3072017836938048, -0.20401616786251364, 0.13091210507196385, 0.05480915369446745, 0.039581822212209405, 0.026880030337836324, -0.003488863146258998, -0.14918668103673177, -0.23632046073607946, 0.32402704787181363, -0.004417778943310079, 0.23465606057536356, 0.07026198819356481, 0.04945446592131533, 0.15072556005637208, 0.01702442376864786, 0.05486468371656752, -0.13878508998339423, 0.08321004957872798, 0.22686442079925045, 0.024743244102339922, 0.2707328384684533, -0.42700468752648413, -0.21969896529983615, 0.019584157355321746, 0.12901298078161078, 0.2098939507988464, -0.0024491279606813007, -0.27488803904810827, 0.01176900304517872, -0.2565273207026659, -0.21437011745076665, -0.07344706346924157, -0.060060231912804324, 0.00838849046411588, -0.2813304595495622, 0.16486566461449892, -0.033544867711151304, 0.023535596458142332, -0.11263421026464149, -0.11061942332889885, -0.005175433776907853, 0.10397948187262242, -0.02306805487983793, 0.05357550588177191, 0.10564165786100724, -0.13252171314532687, -0.11515440746719383, 0.3898294037159955, -0.07469457343758382, -0.1733397707491921, 0.17889229018125952, -0.18098140306790003, -0.14450263824390688, 0.05469500574945789, 0.08907456277178351, 0.1175507036873053, -0.19835146503119738, 0.1519343973864734, -0.07453955721935814, 0.16138875117698281, -0.037883489459906654, 0.043217867231788595, 0.14245851067154064, 0.11382643850616266, 0.06581548795334458, 0.19390085870016022, -0.06064386231018849, -0.19051536126062274, -0.29201775305357175, -0.10712749443794649, -0.2311230819557131, 0.034285452826543876, -0.10803082922309128, -0.19016245775616047, 0.41185239042747573, 0.18585079408145136, 0.14379872250149853, 0.07434356317509772, 0.23873846275376676, 0.1889387140981853, 0.08874292582868762, 0.04055845475642817, 0.1723199716298697, 0.19431129566480204, 0.036847641777976885, -0.30918875955448477, -0.03499343670357365, 0.1491887195938334] |
707.4023 | Influence of the jet opening angle on the derived kinematical parameters
of blazar jets having uniform and stratified bulk motion | We present analytical modelling of conical relativistic jets, in order to
evaluate the role of the jet opening angle on certain key parameters that are
inferred from VLBI radio observations of blazar nuclear jets. The key
parameters evaluated are the orientation angle (i.e., the viewing angle) of the
jet and the apparent speed and Doppler factor of the radio knots on parsec
scales. Quantitative comparisons are made of the influence of the jet opening
angle on the above parameters of the radio knots, as would be estimated for two
widely discussed variants of relativistic nuclear jets, namely, those having
uniform bulk speed and those in which the bulk Lorentz factor of the flow
decreases with distance from the jet axis (a `spine--sheath' flow). Our
analysis shows that for both types of jet velocity distributions the
expectation value of the jet orientation angle at first falls dramatically with
increases in the (central) jet Lorentz factor, but it levels off at a fraction
of the opening angle for extremely relativistic jets. We also find that the
effective values of the apparent speeds and Doppler factors of the knots always
decline substantially with increasing jet opening angle, but that this effect
is strongest for ultra-relativistic jets with uniform bulk speed. We suggest
that the paucity of highly superluminal parsec-scale radio components in TeV
blazars can be understood if their jets are highly relativistic and, being
intrinsically weaker, somewhat less well collimated, in comparison to the jets
in other blazars.
| astro-ph | we present analytical modelling of conical relativistic jets in order to evaluate the role of the jet opening angle on certain key parameters that are inferred from vlbi radio observations of blazar nuclear jets the key parameters evaluated are the orientation angle ie the viewing angle of the jet and the apparent speed and doppler factor of the radio knots on parsec scales quantitative comparisons are made of the influence of the jet opening angle on the above parameters of the radio knots as would be estimated for two widely discussed variants of relativistic nuclear jets namely those having uniform bulk speed and those in which the bulk lorentz factor of the flow decreases with distance from the jet axis a spinesheath flow our analysis shows that for both types of jet velocity distributions the expectation value of the jet orientation angle at first falls dramatically with increases in the central jet lorentz factor but it levels off at a fraction of the opening angle for extremely relativistic jets we also find that the effective values of the apparent speeds and doppler factors of the knots always decline substantially with increasing jet opening angle but that this effect is strongest for ultrarelativistic jets with uniform bulk speed we suggest that the paucity of highly superluminal parsecscale radio components in tev blazars can be understood if their jets are highly relativistic and being intrinsically weaker somewhat less well collimated in comparison to the jets in other blazars | [['we', 'present', 'analytical', 'modelling', 'of', 'conical', 'relativistic', 'jets', 'in', 'order', 'to', 'evaluate', 'the', 'role', 'of', 'the', 'jet', 'opening', 'angle', 'on', 'certain', 'key', 'parameters', 'that', 'are', 'inferred', 'from', 'vlbi', 'radio', 'observations', 'of', 'blazar', 'nuclear', 'jets', 'the', 'key', 'parameters', 'evaluated', 'are', 'the', 'orientation', 'angle', 'ie', 'the', 'viewing', 'angle', 'of', 'the', 'jet', 'and', 'the', 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707.4024 | Erlangen Program at Large--2: Inventing a wheel. The parabolic one | We discuss parabolic versions of Euler's identity e^{it}=cos t + i sin t. A
purely algebraic approach based on dual numbers is known to produce a very
trivial relation e^{pt} = 1+pt. Therefore we use a geometric setup of parabolic
rotations to recover the corresponding non-trivial algebraic framework. Our
main tool is Moebius transformations which turn out to be closely related to
induced representations of the group SL(2,R).
Keywords: complex numbers, dual numbers, double numbers, linear algebra,
invariant, computer algebra, GiNaC
| math.GM math.RA math.RT | we discuss parabolic versions of eulers identity eitcos t i sin t a purely algebraic approach based on dual numbers is known to produce a very trivial relation ept 1pt therefore we use a geometric setup of parabolic rotations to recover the corresponding nontrivial algebraic framework our main tool is moebius transformations which turn out to be closely related to induced representations of the group sl2r keywords complex numbers dual numbers double numbers linear algebra invariant computer algebra ginac | [['we', 'discuss', 'parabolic', 'versions', 'of', 'eulers', 'identity', 'eitcos', 't', 'i', 'sin', 't', 'a', 'purely', 'algebraic', 'approach', 'based', 'on', 'dual', 'numbers', 'is', 'known', 'to', 'produce', 'a', 'very', 'trivial', 'relation', 'ept', '1pt', 'therefore', 'we', 'use', 'a', 'geometric', 'setup', 'of', 'parabolic', 'rotations', 'to', 'recover', 'the', 'corresponding', 'nontrivial', 'algebraic', 'framework', 'our', 'main', 'tool', 'is', 'moebius', 'transformations', 'which', 'turn', 'out', 'to', 'be', 'closely', 'related', 'to', 'induced', 'representations', 'of', 'the', 'group', 'sl2r', 'keywords', 'complex', 'numbers', 'dual', 'numbers', 'double', 'numbers', 'linear', 'algebra', 'invariant', 'computer', 'algebra', 'ginac']] | [-0.18073379062116146, 0.09259452095153765, -0.13838939718698384, 0.1089256408636291, -0.20470539182543945, -0.18369462054509383, 0.0017506291206257467, 0.29812943500777084, -0.37073075914612186, -0.24460216492223433, 0.0991227944703916, -0.21500809811569083, -0.20237559901598173, 0.22488902275187847, -0.12826621998101473, 0.026800192295549773, 0.01342405009871492, 0.08562097613675854, -0.11720048563363843, -0.21016910742634, 0.30266014399986046, -0.049769963460186355, 0.25423591455014855, -0.04645413710610368, 0.09813869118881531, 0.0004080703768592614, -0.030906151732405983, 0.013456615470110988, -0.14761421617227966, 0.10623383476363066, 0.2936495103491231, 0.061698567832652956, 0.17238027694073912, -0.3589624838473705, -0.06847925510150023, 0.1126886187076497, 0.11109408583023395, 0.022562624670218866, -0.023944384354250267, -0.25955608635185623, 0.09437734881439844, -0.16160651570400938, -0.17192894945112178, -0.1150360254284281, 0.052750908250275716, -0.021447173964518767, -0.25517371992091054, 0.0129737838362463, 0.08920067811432557, 0.09222255891953142, 0.012699230639741588, -0.09100875156059957, -0.025890833265386905, 0.06349286614941099, -0.003998910996298759, 0.06176338595403836, 0.12400885088703571, -0.058781434423648395, -0.13669343812701604, 0.3879230445107588, -0.006671126048343304, -0.2652794587760208, 0.14723733195867866, -0.1301531411576061, -0.2071710518674734, 0.09880225867247926, 0.11732486494554159, 0.15449687972282752, -0.06720509969939788, 0.1533067048025819, -0.12861115666918266, 0.10961530045218144, 0.08810135064264521, -0.00370703162983633, 0.1485670237407948, 0.04472624643061023, 0.013956008043187933, 0.15312628926655564, 0.033707719502182536, -0.09747661118849348, -0.3468713610409162, -0.17707083204713386, -0.1282648148212152, 0.16062188313270992, -0.055176430190793976, -0.18457553983451083, 0.37038650401891804, 0.08402496920779157, 0.18323857008586997, 0.08850254493210322, 0.22422967158640042, 0.11079316926099217, 0.09650086609121317, 0.010923862322203767, 0.09935348147812945, 0.275136282774978, 0.023891059574312888, -0.19989789097617644, -0.07400875459186351, 0.22577878617000982] |
707.4025 | On the Cohomological Derivation of Yang-Mills Theory in the Antifield
Formalism | We present a brief review of the cohomological solutions of self-coupling
interactions of the fields in the free Yang-Mills theory. All consistent
interactions among the fields have been obtained using the antifield formalism
through several order BRST deformations of the master equation. It is found
that the coupling deformations halt exclusively at the second order, whereas
higher order deformations are obstructed due to non-local interactions. The
results demonstrate the BRST cohomological derivation of the interacting
Yang-Mills theory.
| physics.gen-ph | we present a brief review of the cohomological solutions of selfcoupling interactions of the fields in the free yangmills theory all consistent interactions among the fields have been obtained using the antifield formalism through several order brst deformations of the master equation it is found that the coupling deformations halt exclusively at the second order whereas higher order deformations are obstructed due to nonlocal interactions the results demonstrate the brst cohomological derivation of the interacting yangmills theory | [['we', 'present', 'a', 'brief', 'review', 'of', 'the', 'cohomological', 'solutions', 'of', 'selfcoupling', 'interactions', 'of', 'the', 'fields', 'in', 'the', 'free', 'yangmills', 'theory', 'all', 'consistent', 'interactions', 'among', 'the', 'fields', 'have', 'been', 'obtained', 'using', 'the', 'antifield', 'formalism', 'through', 'several', 'order', 'brst', 'deformations', 'of', 'the', 'master', 'equation', 'it', 'is', 'found', 'that', 'the', 'coupling', 'deformations', 'halt', 'exclusively', 'at', 'the', 'second', 'order', 'whereas', 'higher', 'order', 'deformations', 'are', 'obstructed', 'due', 'to', 'nonlocal', 'interactions', 'the', 'results', 'demonstrate', 'the', 'brst', 'cohomological', 'derivation', 'of', 'the', 'interacting', 'yangmills', 'theory']] | [-0.1861328026037905, 0.15725267155386216, -0.09276837538610297, 0.07563960191328079, -0.08007546542696171, -0.07039277216226056, -0.0711692069829502, 0.2831102693453431, -0.22422055781564929, -0.27041450215431, 0.06700079205790656, -0.28537027093932615, -0.19832507118752057, 0.09171964620034416, -0.008436093143151179, 0.0023717270928205222, 0.022010048694134532, 0.07997344286701122, -0.08922614048041597, -0.2862424099297783, 0.36201350314711983, -0.011025987184521828, 0.2562249089506539, 0.07660066561966941, 0.1362759642206229, 0.015442525707910975, -0.02085385174042993, 0.0156320790131274, -0.12151909889035341, 0.10426955898715691, 0.2167755768592046, -0.019935538027701632, 0.19383651385833692, -0.46152117681483945, -0.2192487120144553, 0.04624323741617528, 0.13644833218717536, 0.179901809250186, -0.02954422170901066, -0.3091591607005178, 0.028864672334937305, -0.21097638337667307, -0.17505858127366414, -0.1398761532716937, -0.0014096353952954342, -0.02764561502625803, -0.2167978323633214, 0.08659838753232321, 0.012685487545760614, 0.06926769791805948, -0.10100638744264066, -0.063945489330822, -0.0797040402804586, 0.08775728425712555, 0.08120616052190882, 0.03627121919016173, 0.11502416307929081, -0.20333330999370422, -0.11285764925399577, 0.38966491266891556, -0.04925704277997425, -0.19437919778434873, 0.18319532532371918, -0.1586538932903053, -0.17463706112874963, 0.1517201259266585, 0.08714658234800611, 0.18328993223825252, -0.1833161266351288, 0.18727757373534434, 0.037885042723848836, 0.10394136985316389, 0.07291400662998294, 0.03954770705698953, 0.17148612793414042, 0.09485153228576694, 0.01491023841096306, 0.08792316740342453, 0.01673718016933311, -0.15233494114590349, -0.428157537449877, -0.12421370003121647, -0.09581600877232607, 0.06625472450653067, -0.07507733948976285, -0.12740986618854397, 0.3841816804843483, 0.20094272614057576, 0.1187067325650291, 0.0689092894937456, 0.21995955279895238, 0.1441276137076028, 0.11657091459960907, -0.01459762014980827, 0.30447961017489433, 0.25786519031548366, 0.08155333737588742, -0.24767808403023034, -0.05457134059382385, 0.14605886392996875] |
707.4026 | Renormalization and black hole entropy in Loop Quantum Gravity | Microscopic state counting for a black hole in Loop Quantum Gravity yields a
result proportional to horizon area, and inversely proportional to Newton's
constant and the Immirzi parameter. It is argued here that before this result
can be compared to the Bekenstein-Hawking entropy of a macroscopic black hole,
the scale dependence of both Newton's constant and the area must be accounted
for. The two entropies could then agree for any value of the Immirzi parameter,
if a certain renormalization property holds.
| gr-qc hep-th | microscopic state counting for a black hole in loop quantum gravity yields a result proportional to horizon area and inversely proportional to newtons constant and the immirzi parameter it is argued here that before this result can be compared to the bekensteinhawking entropy of a macroscopic black hole the scale dependence of both newtons constant and the area must be accounted for the two entropies could then agree for any value of the immirzi parameter if a certain renormalization property holds | [['microscopic', 'state', 'counting', 'for', 'a', 'black', 'hole', 'in', 'loop', 'quantum', 'gravity', 'yields', 'a', 'result', 'proportional', 'to', 'horizon', 'area', 'and', 'inversely', 'proportional', 'to', 'newtons', 'constant', 'and', 'the', 'immirzi', 'parameter', 'it', 'is', 'argued', 'here', 'that', 'before', 'this', 'result', 'can', 'be', 'compared', 'to', 'the', 'bekensteinhawking', 'entropy', 'of', 'a', 'macroscopic', 'black', 'hole', 'the', 'scale', 'dependence', 'of', 'both', 'newtons', 'constant', 'and', 'the', 'area', 'must', 'be', 'accounted', 'for', 'the', 'two', 'entropies', 'could', 'then', 'agree', 'for', 'any', 'value', 'of', 'the', 'immirzi', 'parameter', 'if', 'a', 'certain', 'renormalization', 'property', 'holds']] | [-0.14569567758475005, 0.19200717662403613, -0.12025644887744645, 0.11244734393915644, -0.10720234033134249, -0.21279779555172557, 0.030206811680446987, 0.2418084405362606, -0.2315153328034981, -0.30821943076120484, 0.09724662393578731, -0.3132505455042845, -0.0727524692652586, 0.2253595676135134, -0.10638699562714239, 0.07698771498959374, -0.02693140568976279, 0.09310046720238012, -0.0675178608931831, -0.2344788509696998, 0.3263012087662463, 0.09923188676224033, 0.2505240614388, 0.11311366860352365, 0.12015126142967032, -0.03793531746523064, 0.047809645878495996, 0.1504756239599284, -0.17646105787876698, 0.00248997199944117, 0.2248190697799954, 0.0773753235231579, 0.25651505067484615, -0.3489199205083244, -0.2228586501384407, 0.09296106403394613, 0.1288456259134375, 0.14546533139353549, -0.024077559637342705, -0.2011040016249926, 0.03976483068739375, -0.22571577601146275, -0.16855458458051958, -0.0631183354574957, 0.0745532284318297, -0.08425627034272493, -0.23651643912595363, 0.13743071199429255, 0.02130443039695146, -0.10411611980080236, -0.0918740978533471, -0.03557952009946292, -0.004854862670195691, 0.12380312047438857, 0.14522041544536657, 0.0668819055053187, 0.20797200903388452, -0.08483081140532446, -0.09735322172356839, 0.3723111234743286, -0.07202364457196292, -0.22271285348652323, 0.06410931940133005, -0.21481029358175066, -0.10172726416724653, 0.08233735014190093, 0.05622788607200355, 0.14572146952865117, -0.13505566013218076, 0.14407892661373256, 0.006387368856388845, 0.2350104738164831, 0.07503230138509362, 0.038664106745272875, 0.26773436883475954, 0.057660823273989886, 0.06664374845539346, 0.11256096045340032, -0.043354753836023587, -0.1526088036228845, -0.37415077862686213, -0.19125137511456822, -0.2337935765814266, 0.10938232372526402, -0.2035131561506991, -0.16433122299933506, 0.2990495812745742, 0.11512932693585753, 0.20966581859982308, 0.1008955826063031, 0.22845731388179608, 0.14721153144161275, 0.09381995034507579, 0.07360115268463154, 0.3195316348868756, 0.11244169349011815, 0.06236016364871628, -0.2971956490274565, 0.04201256395260125, 0.13070479659708562] |
707.4027 | Large Kinetic Power in FRII Radio Jets | We investigate the total kinetic powers (L_{j}) and ages (t_{age}) of
powerful jets of four FR II radio sources (Cygnus A, 3C 223, 3C 284, and 3C
219) by the detail comparison of the dynamical model of expanding cocoons with
observed ones. It is found that these sources have quite large kinetic powers
with the ratio of L_{j} to the Eddington luminosity (L_{Edd}) resides in $0.02
<L_{j}/L_{Edd} <10$. Reflecting the large kinetic powers, we also find that the
total energy stored in the cocoon (E_{c}) exceed the energy derived from the
minimum energy condition (E_{min}): $2< E_{c}/E_{min} <160$. This implies that
a large amount of kinetic power is carried by invisible components such as
thermal leptons (electron and positron) and/or protons.
| astro-ph | we investigate the total kinetic powers l_j and ages t_age of powerful jets of four fr ii radio sources cygnus a 3c 223 3c 284 and 3c 219 by the detail comparison of the dynamical model of expanding cocoons with observed ones it is found that these sources have quite large kinetic powers with the ratio of l_j to the eddington luminosity l_edd resides in 002 l_jl_edd 10 reflecting the large kinetic powers we also find that the total energy stored in the cocoon e_c exceed the energy derived from the minimum energy condition e_min 2 e_ce_min 160 this implies that a large amount of kinetic power is carried by invisible components such as thermal leptons electron and positron andor protons | [['we', 'investigate', 'the', 'total', 'kinetic', 'powers', 'l_j', 'and', 'ages', 't_age', 'of', 'powerful', 'jets', 'of', 'four', 'fr', 'ii', 'radio', 'sources', 'cygnus', 'a', '3c', '223', '3c', '284', 'and', '3c', '219', 'by', 'the', 'detail', 'comparison', 'of', 'the', 'dynamical', 'model', 'of', 'expanding', 'cocoons', 'with', 'observed', 'ones', 'it', 'is', 'found', 'that', 'these', 'sources', 'have', 'quite', 'large', 'kinetic', 'powers', 'with', 'the', 'ratio', 'of', 'l_j', 'to', 'the', 'eddington', 'luminosity', 'l_edd', 'resides', 'in', '002', 'l_jl_edd', '10', 'reflecting', 'the', 'large', 'kinetic', 'powers', 'we', 'also', 'find', 'that', 'the', 'total', 'energy', 'stored', 'in', 'the', 'cocoon', 'e_c', 'exceed', 'the', 'energy', 'derived', 'from', 'the', 'minimum', 'energy', 'condition', 'e_min', '2', 'e_ce_min', '160', 'this', 'implies', 'that', 'a', 'large', 'amount', 'of', 'kinetic', 'power', 'is', 'carried', 'by', 'invisible', 'components', 'such', 'as', 'thermal', 'leptons', 'electron', 'and', 'positron', 'andor', 'protons']] | [-0.10076021514832974, 0.18687340438676378, 0.005160884140059352, 0.1416297986113932, -0.04440071608017509, -0.09233892652458356, 0.023424474219791592, 0.38663986344472506, -0.18382696219099065, -0.39178792741149665, 0.027588709497164625, -0.29744591874380905, 0.054832720512058584, 0.18468493628897703, 0.05065826428278039, -0.0464771538041532, 0.024419846888243533, -0.058416456713651616, -0.02598667758090111, -0.1519575134307767, 0.2634374992456287, 0.14612080521189152, 0.23090330082923174, 0.040726743345536914, 0.12262837810752293, -0.10465881375469811, -0.036549914453644305, -0.004486997798085213, -0.12913196416914918, 0.04261384119357293, 0.1950266542728059, 0.08299004258587957, 0.20500605667900043, -0.3617490825088074, -0.18799690178905923, 0.11830974598027146, 0.1343299915936465, -0.058375832429131455, -0.014913857631230105, -0.1862042240255202, 0.0998733183844403, -0.2584538402346273, -0.12878771855806312, 0.07344614216126502, 0.06518169430394967, 0.04509424871842687, -0.21768418267214049, 0.1556299470309265, -0.015377633270933682, 0.029429573325129847, -0.09496915434719995, -0.15951078147627412, -0.07972734001232311, -0.00045878584302651385, 0.10495447658759076, 0.04974544416569794, 0.1957585634663701, -0.1307025121350307, -0.07993548462012162, 0.40862066245948275, -0.03820983888096331, -0.05070286342524923, 0.18119149042177013, -0.18425404980468255, -0.14171092481119557, 0.23616243246166657, 0.13651211780573552, 0.08739496249472722, -0.1370908933749888, 0.061762668664353745, -0.016076078778132795, 0.19900761225144378, 0.03822107807112237, 0.0951341505763897, 0.2318731353307764, 0.0722525487547197, -0.014727182298823511, 0.13985175068179767, -0.21390625908970834, -0.004176839786426475, -0.31446385494588563, -0.10248977999823788, -0.1491893966981782, 0.18145217042959605, -0.15311134120335435, -0.0560859449042861, 0.3471206972685953, 0.06790688351805632, 0.22359854561897616, 0.03069341077740925, 0.2813228337521044, 0.14968221288969896, 0.0598050641012378, 0.20163707730243913, 0.3329142020472015, 0.158760639897082, 0.14749536231781046, -0.2187853820612266, -0.00709346680669114, -0.0068590961551914615] |
707.4028 | The Symmetries and Redundancies of Terror: Patterns in the Dark, A study
of Terrorist Network Strategy and Structure | Although much political capital has been made regarding the war on terrorism,
and while appropriations have gotten underway, there has been a dearth of deep
work on counter-terrorism, and despite massive efforts by the federal
government, most cities and states do not have a robust response system. In
fact, most do not yet have a robust audit system with which to evaluate their
vulnerabilities or their responses. At the federal level there remain many
unresolved problems of coordination. One reason for this is the shift of much
of federal spending on war-fighting in Afghanistan and Iraq. While this
approach has drawn deep and lasting criticism, it is, in fact, in accord with
many principles of both military and corporate strategy. In the following paper
we explore several models of terrorist networks and the implications of both
the models and their substantive conclusions for combating terrorism.
| nlin.AO | although much political capital has been made regarding the war on terrorism and while appropriations have gotten underway there has been a dearth of deep work on counterterrorism and despite massive efforts by the federal government most cities and states do not have a robust response system in fact most do not yet have a robust audit system with which to evaluate their vulnerabilities or their responses at the federal level there remain many unresolved problems of coordination one reason for this is the shift of much of federal spending on warfighting in afghanistan and iraq while this approach has drawn deep and lasting criticism it is in fact in accord with many principles of both military and corporate strategy in the following paper we explore several models of terrorist networks and the implications of both the models and their substantive conclusions for combating terrorism | [['although', 'much', 'political', 'capital', 'has', 'been', 'made', 'regarding', 'the', 'war', 'on', 'terrorism', 'and', 'while', 'appropriations', 'have', 'gotten', 'underway', 'there', 'has', 'been', 'a', 'dearth', 'of', 'deep', 'work', 'on', 'counterterrorism', 'and', 'despite', 'massive', 'efforts', 'by', 'the', 'federal', 'government', 'most', 'cities', 'and', 'states', 'do', 'not', 'have', 'a', 'robust', 'response', 'system', 'in', 'fact', 'most', 'do', 'not', 'yet', 'have', 'a', 'robust', 'audit', 'system', 'with', 'which', 'to', 'evaluate', 'their', 'vulnerabilities', 'or', 'their', 'responses', 'at', 'the', 'federal', 'level', 'there', 'remain', 'many', 'unresolved', 'problems', 'of', 'coordination', 'one', 'reason', 'for', 'this', 'is', 'the', 'shift', 'of', 'much', 'of', 'federal', 'spending', 'on', 'warfighting', 'in', 'afghanistan', 'and', 'iraq', 'while', 'this', 'approach', 'has', 'drawn', 'deep', 'and', 'lasting', 'criticism', 'it', 'is', 'in', 'fact', 'in', 'accord', 'with', 'many', 'principles', 'of', 'both', 'military', 'and', 'corporate', 'strategy', 'in', 'the', 'following', 'paper', 'we', 'explore', 'several', 'models', 'of', 'terrorist', 'networks', 'and', 'the', 'implications', 'of', 'both', 'the', 'models', 'and', 'their', 'substantive', 'conclusions', 'for', 'combating', 'terrorism']] | [-0.06635014302769883, 0.06353770581901902, -0.07309272970370431, 0.08054983933349529, -0.07670934429431024, -0.1353542093679102, 0.09305475817220416, 0.3968333354892416, -0.16937586782377265, -0.32849334191349855, 0.17223552882448226, -0.3319011481039019, -0.16829544130531657, 0.19327010373429707, -0.13841750051748627, 0.041419879302136704, 0.03817525150952861, 0.019882619684924267, 0.04976346704966596, -0.28959406841184115, 0.29749527032901013, 0.06438547167433878, 0.31238020391901955, 0.09845729167055753, 0.05567373279417451, -0.039720844200928695, -0.05980882998846937, -0.005065040568095153, -0.049724621271404125, 0.13351984380076626, 0.3288578519607452, 0.20439639091556375, 0.4255266028145949, -0.46653095019670826, -0.22416960786762907, 0.1534205734270573, 0.10816799531554959, 0.10423864548000791, -0.042380685157291334, -0.30219513847906554, 0.07044497383726088, -0.24848517459273958, -0.08367248869358769, -0.07806466944101784, 0.061879434930511304, -0.02570579367198257, -0.1535964465389649, 0.027648558410065662, 0.051787225225578166, 0.1341820210509468, -0.03556748588259021, -0.1417615939879195, -0.03177529251034786, 0.18620384414518615, 0.13038474795757793, -0.0015388066262352772, 0.10359551335245164, -0.18396785480616826, -0.15127060434962106, 0.4005192516811399, 0.06005670522507797, -0.11194725799658853, 0.22589635477682654, -0.12599406773774213, -0.20472963794600219, 0.05114178475277084, 0.204551073190588, 0.05386450397782028, -0.15676199972060406, 0.05177493328907682, -0.026005803526560258, 0.16435424285332878, 0.07330990022940871, 0.03144995544264222, 0.22766879262053408, 0.19055872853601208, 0.0706483308014059, 0.02461781644443464, -0.0427949251245031, -0.1354453539728032, -0.1675324083900907, -0.09303094328586464, -0.1204299688171078, 0.021735954026654427, 0.010330204836565018, -0.15377779838551456, 0.3793954134065037, 0.19044665893953708, 0.12467502041383544, 0.03402683888836893, 0.2698708132763083, 0.0267372278483688, 0.10736433324281178, 0.0904666294162679, 0.26752470132325673, 0.012013236919301562, 0.17391957839330038, -0.1286158387835409, 0.1963453424493006, -0.07963709351153941] |
707.4029 | Tetrahedron equations and nilpotent subalgebras of U_q(sl_n) | A relation between q-oscillator R-matrix of the tetrahedron equation and
decompositions of Poinkare-Birkhoff-Witt type bases for nilpotent subalgebras
of U_q(sl_n) is observed.
| math.QA | a relation between qoscillator rmatrix of the tetrahedron equation and decompositions of poinkarebirkhoffwitt type bases for nilpotent subalgebras of u_qsl_n is observed | [['a', 'relation', 'between', 'qoscillator', 'rmatrix', 'of', 'the', 'tetrahedron', 'equation', 'and', 'decompositions', 'of', 'poinkarebirkhoffwitt', 'type', 'bases', 'for', 'nilpotent', 'subalgebras', 'of', 'u_qsl_n', 'is', 'observed']] | [-0.1583893528579557, 0.026223919487425258, -0.07103343627282552, 0.06054447392290015, -0.14514123555272818, -0.16263048259896182, -0.031173699047593845, 0.3312819706542151, -0.3526465435113226, -0.17668301949188822, 0.08209583353960798, -0.30691047474032357, -0.10941109921605814, 0.18505008962182773, -0.03601504627260424, -0.020420077655996596, 0.09448097140661307, 0.08755548732976119, -0.22855832068515675, -0.17080556521458284, 0.43906954640433904, -0.052391906668032916, 0.26400954240844365, -0.06552736948998202, 0.19680047407746315, -0.015423346909561328, 0.005736296686033408, -0.1274808215066081, -0.1604322638096554, 0.17747933808935895, 0.2786520796251439, 0.08574137375468299, 0.08446863133992467, -0.31707344567846685, 0.003738220293252241, 0.14733800522628285, 0.22136163019708224, 0.07677707444166854, -0.02655930755039056, -0.23914539547903196, -0.040225926210128125, -0.22549937013536692, -0.19651247108621256, -0.043666488712742216, 0.1569372903378237, -0.011754924032304968, -0.2482321000037094, 0.15912105870388804, 0.07690107458758921, 0.15087593533098698, -0.16206947306082362, -0.16725376431090158, -0.11264685512564722, 0.051769871242521776, -0.1439753035194285, -0.07297993897061263, 0.020145923786220096, -0.07488168722816876, -0.21135675179816427, 0.4076648913323879, 0.07134938111440056, -0.2640036449191116, 0.07406277661877018, -0.19413825004760707, -0.1662676012409585, 0.026570342769402833, -0.009153043141677267, 0.09325086046010256, -0.10576967300758475, 0.21111861527398496, -0.1585825380115282, 0.015701839611643835, 0.11913776845626887, 0.0073515014456851146, 0.12135894893712941, 0.08631539690707411, -0.02068782877177, 0.08223795323144822, 0.11376326619869187, -0.04501297555509068, -0.3512028634016003, -0.21801281507526124, -0.10733338715952068, 0.09571793092237342, -0.13027624258081363, -0.2046162967703172, 0.3869732036477044, 0.028622346930205822, 0.13033749628812075, 0.07747480733364466, 0.0984220343331496, 0.08105807591761861, 0.13536330995460352, -0.000910573306360415, 0.13407631236172857, 0.4026897091507202, -0.08913676830984298, -0.2459661203347856, -0.07306799911228674, 0.3509534228415716] |
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