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712.2179 | Study of GEM-like detectors with resistive electrodes for RICH
applications | We have developed prototypes of GEM-like detectors with resistive electrodes
to be used as RICH photodetectors equipped with CsI photocathodes. The main
advantages of these detectors are their intrinsic spark protection and
possibility to operate at high gain (~10E5) in many gases including poorly
quenched ones, allowing for the adoption of windowless configurations in which
the radiator gas is also used in the chamber. Results of systematic studies of
the resistive GEMs combined with CsI photocathodes are presented: its quantum
efficiency, rate characteristics, long-term stability, etc. On the basis of the
obtained results, we believe that the new detector will be a promising
candidate for upgrading the ALICE RICH detector
| physics.ins-det | we have developed prototypes of gemlike detectors with resistive electrodes to be used as rich photodetectors equipped with csi photocathodes the main advantages of these detectors are their intrinsic spark protection and possibility to operate at high gain 10e5 in many gases including poorly quenched ones allowing for the adoption of windowless configurations in which the radiator gas is also used in the chamber results of systematic studies of the resistive gems combined with csi photocathodes are presented its quantum efficiency rate characteristics longterm stability etc on the basis of the obtained results we believe that the new detector will be a promising candidate for upgrading the alice rich detector | [['we', 'have', 'developed', 'prototypes', 'of', 'gemlike', 'detectors', 'with', 'resistive', 'electrodes', 'to', 'be', 'used', 'as', 'rich', 'photodetectors', 'equipped', 'with', 'csi', 'photocathodes', 'the', 'main', 'advantages', 'of', 'these', 'detectors', 'are', 'their', 'intrinsic', 'spark', 'protection', 'and', 'possibility', 'to', 'operate', 'at', 'high', 'gain', '10e5', 'in', 'many', 'gases', 'including', 'poorly', 'quenched', 'ones', 'allowing', 'for', 'the', 'adoption', 'of', 'windowless', 'configurations', 'in', 'which', 'the', 'radiator', 'gas', 'is', 'also', 'used', 'in', 'the', 'chamber', 'results', 'of', 'systematic', 'studies', 'of', 'the', 'resistive', 'gems', 'combined', 'with', 'csi', 'photocathodes', 'are', 'presented', 'its', 'quantum', 'efficiency', 'rate', 'characteristics', 'longterm', 'stability', 'etc', 'on', 'the', 'basis', 'of', 'the', 'obtained', 'results', 'we', 'believe', 'that', 'the', 'new', 'detector', 'will', 'be', 'a', 'promising', 'candidate', 'for', 'upgrading', 'the', 'alice', 'rich', 'detector']] | [-0.08328242070856504, 0.10385656943756409, -0.06532267179467123, -0.0005583755603187125, -0.008319370838051492, -0.18186453163454477, 0.008171008652160791, 0.4238835108212449, -0.18775265404361893, -0.30669747928834773, 0.12059936117571356, -0.32274009272117504, -0.04527687131511894, 0.2498768578241156, -0.0813956381245093, 0.10450766263053414, 0.06781861277043143, -0.045718778026374904, -0.09052099052774297, -0.24536690138894218, 0.2382685343988917, 0.1697515449433757, 0.33454725963952525, 0.03271677725186402, 0.12495641045759177, -0.07453073700889945, -0.020443495083600282, 0.0005901503503661264, -0.1103732028577228, 0.0823252678340809, 0.3090210245837542, 0.08152794509448788, 0.20460289921611546, -0.4808051644909111, -0.1909942724826661, 0.023506450661542742, 0.07518092628822408, 0.04455615870802748, -0.13753070840294557, -0.2856073980050331, 0.12961350872435354, -0.227473347439346, -0.12887856011194262, -0.040030995400791816, -0.07943364365068688, 0.06891494230737656, -0.22031116260384973, -0.03196114759961016, 0.01601670731748031, 0.008259620568291708, -0.04500636731126261, -0.15614527739076453, 0.010821965942159294, 0.14114818275398153, -0.013219249636908485, -0.021562756660965864, 0.16564586468739434, -0.14481022149874745, -0.11104692231482742, 0.31813008334826337, -0.04835577675945718, -0.1646887119055133, 0.25679994902827524, -0.17972634628584438, -0.07558474074202505, 0.1738530020007271, 0.19553706602362747, 0.09199164196086879, -0.18498150603845714, 0.004040840479270132, 0.04286682358942926, 0.16771516031585634, 0.046601504472677004, 0.14656751620667902, 0.21647284951230342, 0.2765531097623435, 0.03761277030783028, 0.13899236624552444, -0.1302249596094374, -0.0382548018316315, -0.2794442512920465, -0.1946540491867133, -0.13323087845505638, 0.02975940703128634, -0.030734147287942257, -0.10945580144391649, 0.36533923182975164, 0.1475562490692193, 0.10697756188667633, -0.055247433395759965, 0.32941055932844227, 0.023647421529643577, 0.12151257511947981, 0.0210300630339506, 0.2844454882708801, 0.13638418415476652, 0.14684823709540068, -0.20181189033372157, 0.07212907781570473, -0.034417574205012486] |
712.218 | In situ x-ray diffraction study of epitaxial growth of ordered Fe3Si
films | Molecular beam epitaxy of Fe3Si on GaAs(001) is studied in situ by grazing
incidence x-ray diffraction. Layer-by-layer growth of Fe3Si films is observed
at a low growth rate and substrate temperatures near 200 degrees Celsius. A
damping of x-ray intensity oscillations due to a gradual surface roughening
during growth is found. The corresponding sequence of coverages of the
different terrace levels is obtained. The after-deposition surface recovery is
very slow. Annealing at 310 degrees Celsius combined with the deposition of one
monolayer of Fe3Si restores the surface to high perfection and minimal
roughness. Our stoichiometric films possess long-range order and a high quality
heteroepitaxial interface.
| cond-mat.mtrl-sci | molecular beam epitaxy of fe3si on gaas001 is studied in situ by grazing incidence xray diffraction layerbylayer growth of fe3si films is observed at a low growth rate and substrate temperatures near 200 degrees celsius a damping of xray intensity oscillations due to a gradual surface roughening during growth is found the corresponding sequence of coverages of the different terrace levels is obtained the afterdeposition surface recovery is very slow annealing at 310 degrees celsius combined with the deposition of one monolayer of fe3si restores the surface to high perfection and minimal roughness our stoichiometric films possess longrange order and a high quality heteroepitaxial interface | [['molecular', 'beam', 'epitaxy', 'of', 'fe3si', 'on', 'gaas001', 'is', 'studied', 'in', 'situ', 'by', 'grazing', 'incidence', 'xray', 'diffraction', 'layerbylayer', 'growth', 'of', 'fe3si', 'films', 'is', 'observed', 'at', 'a', 'low', 'growth', 'rate', 'and', 'substrate', 'temperatures', 'near', '200', 'degrees', 'celsius', 'a', 'damping', 'of', 'xray', 'intensity', 'oscillations', 'due', 'to', 'a', 'gradual', 'surface', 'roughening', 'during', 'growth', 'is', 'found', 'the', 'corresponding', 'sequence', 'of', 'coverages', 'of', 'the', 'different', 'terrace', 'levels', 'is', 'obtained', 'the', 'afterdeposition', 'surface', 'recovery', 'is', 'very', 'slow', 'annealing', 'at', '310', 'degrees', 'celsius', 'combined', 'with', 'the', 'deposition', 'of', 'one', 'monolayer', 'of', 'fe3si', 'restores', 'the', 'surface', 'to', 'high', 'perfection', 'and', 'minimal', 'roughness', 'our', 'stoichiometric', 'films', 'possess', 'longrange', 'order', 'and', 'a', 'high', 'quality', 'heteroepitaxial', 'interface']] | [-0.12019570513019481, 0.24965405366898408, -0.0740714674085701, -0.01293034363390269, 0.03058778417807144, -0.12048654430187665, 0.07290802334654682, 0.43553181788705003, -0.2873446842512259, -0.3339003282599151, 0.07042990829247103, -0.3043654254333188, -0.05219605138811927, 0.17493075751665926, 0.00018792894955437916, 0.06384155363887728, -0.008634430916012766, -0.13234683054403062, -0.09506105165033099, -0.25658657328816703, 0.2205352324168556, 0.14442526403133973, 0.36644807866273016, 0.09246950601496232, 0.09394829593097362, -0.013535973938325277, 0.14788931523351215, -0.020517236803873226, -0.22825712475451626, 0.05113526469974134, 0.22882511163166222, -0.10690313590636763, 0.1867984559100408, -0.4825572709982785, -0.23019157603490525, -0.08704499774522936, 0.07589421291889337, 0.10051098700541143, -0.10595676833607005, -0.14486290687301123, 0.10744357571820728, -0.03602837107945771, -0.1446046271101715, 0.004440148043683551, -0.05371607572417885, -0.007291107304739013, -0.2318210777414676, 0.11823844652211007, 0.02387739401624108, 0.18408392545265648, -0.08319525905356456, -0.10157507647258732, -0.18642147655303304, 0.004521839446029984, 0.039120647166922796, 0.07266500684020755, 0.24332983578810505, -0.0883837665628212, -0.03166139131196989, 0.3445465585592991, -0.030616843288253922, -0.012482905966373017, 0.2522920194046142, -0.26849574348978844, -0.03363583286857018, 0.3213811561716004, 0.12809971320586136, 0.12717366876313463, -0.12996012546444455, 0.029987428618019642, 0.07142650971386152, 0.25541047867423355, 0.23750382421377042, 0.00250224463637166, 0.20106215976948777, 0.25278489859640385, 0.03440663508864908, 0.14759962951603273, -0.17844427887883704, 0.04300322156856195, -0.161310634862345, -0.15858999223452813, -0.176765545262382, 0.07412904313129659, -0.12557232310917663, -0.18212898357663876, 0.37173875800530926, 0.017695087290261514, 0.17987110655611524, -0.012408140359464316, 0.2149450053783277, 0.07185050378253575, 0.07466696760429141, -0.016711137387364242, 0.22705334167515573, 0.1683624001206436, 0.1201492877309927, -0.2566280329752212, 0.1854738365061796, -0.030354151412701376] |
712.2181 | Tuning competing orders in La2-xSrxCuO4 cuprate superconductors by the
application of an external magnetic field | We report the results of a combined muon spin rotation and neutron scattering
study on La2-xSrxCuO4 in the vicinity of the so-called 1/8-anomaly. Application
of a magnetic field drives the system towards a magnetically ordered
spin-density-wave state, which is fully developed at 1/8 doping. The results
are discussed in terms of competition between antiferromagnetic and
superconducting order parameters.
| cond-mat.supr-con cond-mat.str-el | we report the results of a combined muon spin rotation and neutron scattering study on la2xsrxcuo4 in the vicinity of the socalled 18anomaly application of a magnetic field drives the system towards a magnetically ordered spindensitywave state which is fully developed at 18 doping the results are discussed in terms of competition between antiferromagnetic and superconducting order parameters | [['we', 'report', 'the', 'results', 'of', 'a', 'combined', 'muon', 'spin', 'rotation', 'and', 'neutron', 'scattering', 'study', 'on', 'la2xsrxcuo4', 'in', 'the', 'vicinity', 'of', 'the', 'socalled', '18anomaly', 'application', 'of', 'a', 'magnetic', 'field', 'drives', 'the', 'system', 'towards', 'a', 'magnetically', 'ordered', 'spindensitywave', 'state', 'which', 'is', 'fully', 'developed', 'at', '18', 'doping', 'the', 'results', 'are', 'discussed', 'in', 'terms', 'of', 'competition', 'between', 'antiferromagnetic', 'and', 'superconducting', 'order', 'parameters']] | [-0.19259089618725211, 0.2307011834427453, 0.007171771268507368, 0.017549564369562034, -0.025713420554734114, -0.04107868358525529, 0.08787907320156432, 0.3355188101791499, -0.21823139701103955, -0.2887105692112655, 0.05785066866838749, -0.3370422547552408, -0.08207025380576388, 0.19681094034591265, 0.06580534547254246, -0.02052344442263507, -0.03080553767320357, 0.02062843434855734, -0.15391580280112593, -0.1896270711746949, 0.3570437381664912, 0.003357030965976025, 0.293614081058063, 0.07222752125214851, 0.07617327389552404, 0.00578739789412602, 0.09748285250705585, 0.03668183568668993, -0.15146695512036482, 0.04017689592090615, 0.26487996086086096, -0.07033149915208158, 0.18007284089138634, -0.42054074574588685, -0.15275417928575752, -0.009728525062663513, 0.12911240827586307, 0.13574752133756288, -0.09662072469374132, -0.3058570632547663, 0.05622682303778435, -0.17360306853069024, -0.13232662822957264, -0.10107019560803708, -0.060042094772175085, 0.0016184017070356692, -0.2731614674588567, 0.06806989147311501, 0.09476946407046757, 0.10666647131897901, -0.1498461157786088, -0.10420368506221853, -0.033129750130077205, 0.043054857136060797, 0.06321515946387592, 0.13087336570759744, 0.13338027713338338, -0.11671076111266748, -0.16590465535001273, 0.30900251224898456, -0.035049504202202354, -0.056565598797118456, 0.15649011823463074, -0.23104528262557691, -0.09516563785278745, 0.15490940807942757, 0.15273720801301433, 0.09474136833951138, -0.1364395756013038, 0.05131382586458992, -3.739381045625921e-05, 0.19548821949252956, -0.015995908569413842, 0.055785418831204116, 0.27239246245293897, 0.2658958889119196, 0.03978603503977259, 0.17011314931962834, -0.17625127200306834, -0.0898032296252878, -0.2505354242350318, -0.15783921065495202, -0.1601754371730382, 0.01649999582176015, -0.04400919621203732, -0.16424878654805453, 0.39727575787784236, 0.15195753317522376, 0.1736774355369179, -0.09513919927759848, 0.24770855759842353, 0.08755083810211274, 0.005908936686944543, 0.046725238599863494, 0.2842114415313852, 0.2190744054356688, 0.1461534341061978, -0.33245340454506506, 0.08899827659326165, 0.03629750242505811] |
712.2182 | Optimal codes for correcting a single (wrap-around) burst of errors | In 2007, Martinian and Trott presented codes for correcting a burst of
erasures with a minimum decoding delay. Their construction employs [n,k] codes
that can correct any burst of erasures (including wrap-around bursts) of length
n-k. The raised the question if such [n,k] codes exist for all integers k and n
with 1<= k <= n and all fields (in particular, for the binary field). In this
note, we answer this question affirmatively by giving two recursive
constructions and a direct one.
| cs.IT math.IT | in 2007 martinian and trott presented codes for correcting a burst of erasures with a minimum decoding delay their construction employs nk codes that can correct any burst of erasures including wraparound bursts of length nk the raised the question if such nk codes exist for all integers k and n with 1 k n and all fields in particular for the binary field in this note we answer this question affirmatively by giving two recursive constructions and a direct one | [['in', '2007', 'martinian', 'and', 'trott', 'presented', 'codes', 'for', 'correcting', 'a', 'burst', 'of', 'erasures', 'with', 'a', 'minimum', 'decoding', 'delay', 'their', 'construction', 'employs', 'nk', 'codes', 'that', 'can', 'correct', 'any', 'burst', 'of', 'erasures', 'including', 'wraparound', 'bursts', 'of', 'length', 'nk', 'the', 'raised', 'the', 'question', 'if', 'such', 'nk', 'codes', 'exist', 'for', 'all', 'integers', 'k', 'and', 'n', 'with', '1', 'k', 'n', 'and', 'all', 'fields', 'in', 'particular', 'for', 'the', 'binary', 'field', 'in', 'this', 'note', 'we', 'answer', 'this', 'question', 'affirmatively', 'by', 'giving', 'two', 'recursive', 'constructions', 'and', 'a', 'direct', 'one']] | [-0.2268715102777437, 0.16480904456549955, 0.01185653265853079, 0.1027951359283179, 0.004577830123404662, -0.2761597274917603, 0.08296260824082075, 0.35224285699645586, -0.2673193891935142, -0.31543433374184887, 0.06648236818979551, -0.2655129435897609, -0.1434977301813225, 0.18315237654763974, -0.08707789415033695, 0.05542685268561781, 0.06600227377687891, 0.02677375681836296, -0.07893456481857064, -0.4039032217819405, 0.2894405669469478, 0.11870685749813731, 0.11551460445525101, 0.01618517893883917, 0.08863518233727204, 0.05679901150618622, -0.05169733238900885, -0.018080339735419847, -0.18773601941929996, 0.03421240046413408, 0.325572050050085, 0.2099977017690738, 0.2109553892924278, -0.3432686275653081, -0.23290593169714371, 0.1407936635947453, 0.13519984955129064, 0.1476419200821791, -0.0595697736264103, -0.1622963126326256, 0.16319854708135495, -0.14829658380534247, -0.03027430433710968, 0.04293669147968844, 0.12003984313923866, 0.010106462881796889, -0.2860414469269691, -0.014137515024264791, 0.15281035644605895, 0.07344952433795472, -0.008205338484711118, -0.13770913338449634, 0.10525394224182323, 0.11406416512370386, -0.004592273168310823, 0.07794626710798454, -0.0063207129441937545, -0.03976564890601569, -0.14592578280487178, 0.3192864153534174, -0.026405170686359024, -0.12464994579599595, 0.10521101290043904, -0.09561507257540929, -0.15037496473042317, 0.14729625303988103, 0.12706555039075743, 0.10350004078268453, -0.05783950870879638, 0.12682630594555336, -0.09145223226306247, 0.17302704057483762, 0.18193154294549682, 0.07006943054543233, 0.15315481059161234, 0.03977199943655711, 0.025284733205572358, 0.12663064802203466, -0.049878618116548035, 0.027857621269369567, -0.28833679859468964, -0.1351947786295815, -0.15602281436979495, 0.098355802109488, -0.0967338397659873, -0.15107200485596686, 0.37542101702894326, 0.12263373521811984, 0.20732314459243675, 0.14338681276565718, 0.2261134666149263, 0.006960284850203696, 0.028701273307641162, 0.21317487514727276, 0.10470222132165491, 0.15903342878417237, -0.011623736815872017, -0.1911380558704417, 0.03882679549609253, 0.11074004445891873] |
712.2183 | Apports des d\'emarches d'inspection et des tests d'usage dans
l'\'evaluation de l'accessibilit\'e de E-services | This article proposes to describe and compare the contributions of various
techniques of evaluation of the accessibility of E-services carried out
starting from (i) methods of inspection (on the basis of traditional ergonomic
criteria and accessibility) and (ii) of tests of use. It show that these are
the latter which show the best rate of identification of the problems of uses
for the poeple with disabilities
| cs.HC | this article proposes to describe and compare the contributions of various techniques of evaluation of the accessibility of eservices carried out starting from i methods of inspection on the basis of traditional ergonomic criteria and accessibility and ii of tests of use it show that these are the latter which show the best rate of identification of the problems of uses for the poeple with disabilities | [['this', 'article', 'proposes', 'to', 'describe', 'and', 'compare', 'the', 'contributions', 'of', 'various', 'techniques', 'of', 'evaluation', 'of', 'the', 'accessibility', 'of', 'eservices', 'carried', 'out', 'starting', 'from', 'i', 'methods', 'of', 'inspection', 'on', 'the', 'basis', 'of', 'traditional', 'ergonomic', 'criteria', 'and', 'accessibility', 'and', 'ii', 'of', 'tests', 'of', 'use', 'it', 'show', 'that', 'these', 'are', 'the', 'latter', 'which', 'show', 'the', 'best', 'rate', 'of', 'identification', 'of', 'the', 'problems', 'of', 'uses', 'for', 'the', 'poeple', 'with', 'disabilities']] | [-0.04549387258549149, -0.02443132410542323, -0.09418592192590809, 0.00829848872605138, -0.030281678658838455, -0.10939150941199981, 0.09221249217024216, 0.34304986246503316, -0.2220898150251462, -0.31291760974205457, 0.13982984240238483, -0.2596145641631805, -0.15688853679368128, 0.24126883461498297, -0.04957379661500454, 0.04497032817453146, 0.08904546363852345, 0.032853420035770305, -0.07416980779156662, -0.2501277800362844, 0.3560590639352225, 0.055214896941414245, 0.31938115948667894, 0.066159775115263, 0.09744192485052805, 0.013239047189171498, -0.14210120344964358, 0.023373875552071974, -0.12194354487997211, 0.2023546855037029, 0.23001977778398075, 0.2348682692919213, 0.29480377249419687, -0.41082937121391294, -0.15224096392496275, 0.04706270805058571, 0.11308412959154408, 0.08644997343385162, 0.007102638524240599, -0.2704146147848895, 0.09478474560265358, -0.15555147823805993, -0.10919627682753624, -0.08958004155697731, -0.02933934967821607, 0.09610528779717592, -0.26053290229577286, 0.03365358534770516, 0.057470333346953756, 0.09675513497338845, -0.06542648103517981, -0.14772792670589227, 0.014364849602302106, 0.19491441408888652, 0.09236043203765383, -0.0303392752002065, 0.10403966369967048, -0.1563989367013654, -0.1508380453603772, 0.41953054276796486, 0.008967446552840276, -0.15852183391196797, 0.2526384454399634, -0.07426678038990268, -0.13718669638754083, 0.07485108332565198, 0.17690101817536813, 0.12608980281824747, -0.15868096214074354, 0.04445671227563602, 0.015933197317644955, 0.12740423974509424, 0.031276253485479036, 0.014536127727478743, 0.16133632032343975, 0.16917407555648914, 0.03705986888649372, 0.1511715878947423, -0.0861462581723642, -0.0708205324311096, -0.31606564436537715, -0.20067097967347272, -0.13898653930697877, -0.0016506523753588016, -0.029761172902027073, -0.1670017241428678, 0.4048267374818142, 0.2436313830029506, 0.16843282954337505, 0.06726616576779634, 0.2819411013418665, 0.062426578869613315, 0.07040230979053796, 0.004320817440748215, 0.24169844806086846, 0.059394116384478716, 0.08558135562074873, -0.22833218118354964, 0.05319632695128138, 0.03509331203956838] |
712.2184 | The ordered distribution of natural numbers on the square root spiral | Natural numbers divisible by the same prime factor lie on defined spiral
graphs which are running through the Square Root Spiral (also named as the
Spiral of Theodorus or Wurzel Spirale or Einstein Spiral). Prime Numbers also
clearly accumulate on such spiral graphs. And the square numbers 4, 9, 16, 25,
36,... form a highly three-symmetrical system of three spiral graphs, which
divides the square-root-spiral into three equal areas. A mathematical analysis
shows that these spiral graphs are defined by quadratic polynomials. Fibonacci
number sequences also play a part in the structure of the Square Root Spiral.
Fibonacci Numbers divide the Square Root Spiral into areas and angle sectors
with constant proportions. These proportions are linked to the golden mean (or
golden section), which behaves as a self-avoiding-walk-constant in the
lattice-like structure of the square root spiral.
| math.GM | natural numbers divisible by the same prime factor lie on defined spiral graphs which are running through the square root spiral also named as the spiral of theodorus or wurzel spirale or einstein spiral prime numbers also clearly accumulate on such spiral graphs and the square numbers 4 9 16 25 36 form a highly threesymmetrical system of three spiral graphs which divides the squarerootspiral into three equal areas a mathematical analysis shows that these spiral graphs are defined by quadratic polynomials fibonacci number sequences also play a part in the structure of the square root spiral fibonacci numbers divide the square root spiral into areas and angle sectors with constant proportions these proportions are linked to the golden mean or golden section which behaves as a selfavoidingwalkconstant in the latticelike structure of the square root spiral | [['natural', 'numbers', 'divisible', 'by', 'the', 'same', 'prime', 'factor', 'lie', 'on', 'defined', 'spiral', 'graphs', 'which', 'are', 'running', 'through', 'the', 'square', 'root', 'spiral', 'also', 'named', 'as', 'the', 'spiral', 'of', 'theodorus', 'or', 'wurzel', 'spirale', 'or', 'einstein', 'spiral', 'prime', 'numbers', 'also', 'clearly', 'accumulate', 'on', 'such', 'spiral', 'graphs', 'and', 'the', 'square', 'numbers', '4', '9', '16', '25', '36', 'form', 'a', 'highly', 'threesymmetrical', 'system', 'of', 'three', 'spiral', 'graphs', 'which', 'divides', 'the', 'squarerootspiral', 'into', 'three', 'equal', 'areas', 'a', 'mathematical', 'analysis', 'shows', 'that', 'these', 'spiral', 'graphs', 'are', 'defined', 'by', 'quadratic', 'polynomials', 'fibonacci', 'number', 'sequences', 'also', 'play', 'a', 'part', 'in', 'the', 'structure', 'of', 'the', 'square', 'root', 'spiral', 'fibonacci', 'numbers', 'divide', 'the', 'square', 'root', 'spiral', 'into', 'areas', 'and', 'angle', 'sectors', 'with', 'constant', 'proportions', 'these', 'proportions', 'are', 'linked', 'to', 'the', 'golden', 'mean', 'or', 'golden', 'section', 'which', 'behaves', 'as', 'a', 'selfavoidingwalkconstant', 'in', 'the', 'latticelike', 'structure', 'of', 'the', 'square', 'root', 'spiral']] | [-0.2001377492278786, 0.14007110262437808, -0.034387573317596405, 0.09772540281427967, -0.09187332959140115, -0.0893540680620142, -0.023076846800518757, 0.3099788097580048, -0.3066570434338329, -0.31568256438230025, 0.12687661051997123, -0.2842757676438795, -0.1720113193309358, 0.16608526110014116, 0.021654245595334833, -0.03540327628919234, -0.028032423206957792, 0.06506591409296644, -0.03223963149216478, -0.3228605394992469, 0.2771193881494445, -0.027170182720786244, 0.19593642417352053, -0.07971770194308192, 0.06968249422921376, -0.022121384261757186, 0.0028892216858256497, 0.02086922085094777, -0.1592154367282836, 0.042720656503330574, 0.20045547122770752, 0.06297272021854014, 0.25308764159368974, -0.387480457256915, -0.08047330349147545, 0.11299276970693785, 0.21181092527342227, 0.0020442843184961625, 0.009891060620165345, -0.23498211942161573, 0.06044682150152794, -0.1417736806942037, -0.1816904181896737, 0.014006424003816915, 0.03173349434368764, 0.09216640216552398, -0.20855293104470934, 0.08525419832761999, 0.05346373738156575, 0.13889098489149052, 0.02059746536807242, -0.23485555175504874, -0.01626039968775303, 0.10824904174042979, -0.004683342252533432, 0.046068550048706434, 0.115970239053819, -0.1117715604919023, -0.13383543899875472, 0.4010014632773219, -0.0022122542511417783, -0.19569535095555088, 0.11056934446308085, -0.19669827616378438, -0.11645086137154563, 0.1650010866702139, 0.15126395757507646, 0.012554164998811868, -0.028074113222608117, 0.011402939537109694, -0.12418458199791724, 0.1704528457502778, 0.1509552683970524, 0.0013937723406618743, 0.24709735050176582, 0.08740386318866954, 0.05592177886600522, 0.14983354061559745, -0.10148107104539646, -0.12366451392176026, -0.27819031570106745, -0.13903436832708505, -0.18802378297903377, 0.07025848155701003, -0.14820594435084125, -0.2117325458957842, 0.39592314478200435, -0.010807206071066585, 0.19373450242688484, 0.07261060647733482, 0.23701358661337785, 0.015461519726545013, 0.1632343847677751, 0.10086391129968406, 0.16048668800486307, 0.17782598205799746, -0.0007245958267682881, -0.14695452505221704, 0.001753568356489819, 0.09939227051412065] |
712.2185 | Neumann problems associated to nonhomogeneous differential operators in
Orlicz--Sobolev spaces | We study a nonlinear Neumann boundary value problem associated to a
nonhomogeneous differential operator. Taking into account the competition
between the nonlinearity and the bifurcation parameter, we establish sufficient
conditions for the existence of nontrivial solutions in a related
Orlicz--Sobolev space.
| math.AP | we study a nonlinear neumann boundary value problem associated to a nonhomogeneous differential operator taking into account the competition between the nonlinearity and the bifurcation parameter we establish sufficient conditions for the existence of nontrivial solutions in a related orliczsobolev space | [['we', 'study', 'a', 'nonlinear', 'neumann', 'boundary', 'value', 'problem', 'associated', 'to', 'a', 'nonhomogeneous', 'differential', 'operator', 'taking', 'into', 'account', 'the', 'competition', 'between', 'the', 'nonlinearity', 'and', 'the', 'bifurcation', 'parameter', 'we', 'establish', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'nontrivial', 'solutions', 'in', 'a', 'related', 'orliczsobolev', 'space']] | [-0.2158488221920845, 0.04178862631457245, -0.07336755367223083, 0.11005172408867354, -0.14168131141923368, -0.1275230744376597, 0.021413535935940538, 0.25987702334958424, -0.31535350040691656, -0.18994399482702337, 0.1896011120293335, -0.2577047551323364, -0.14901120942540286, 0.16425608307486628, -0.05700180295673085, 0.08677837007292886, 0.07400869528149687, 0.0031321445343697944, -0.08938618897028812, -0.15623431670956495, 0.44855189677782176, -0.0911920882716048, 0.2342323121819191, 0.08381360392199784, 0.12529765719138994, -0.022918703011804965, 0.018852197008616314, 0.06794662706528382, -0.278340830030374, 0.0608726537122005, 0.2401351490307872, 0.03168952228535512, 0.34755260744927136, -0.43344053480683303, -0.19047178407540408, 0.1918022093113239, 0.05727054596674151, 0.054699000561746154, -0.03356881217077011, -0.3464601565061546, 0.04679283893826168, -0.09219259971457465, -0.15188912238653113, -0.05667636707061675, 0.0009554917129074655, -0.006067556130313655, -0.3636004328330206, 0.11974977486108135, 0.09025095789352568, 0.028890583414311815, -0.2367651631783058, -0.004762610681809303, -0.05787559703174161, 0.10849949695942242, 0.022944371579442083, -0.05960773804406749, -0.02229719800397572, -0.13813670929067018, -0.04392453485236662, 0.3250443289374433, -0.05136262184781272, -0.2753878539916491, 0.147164482169035, -0.1486672679098641, -0.10567926856257566, 0.09253644402615907, 0.1964367561201315, 0.0859818565772801, -0.13914869453121975, 0.13811798588934968, -0.02661011405232385, 0.12406041368660403, 0.07785488603772914, 0.0006233926907908626, 0.09768219510229623, 0.1490690436032487, 0.1961213903637921, 0.22829419374465942, 0.026054582312964356, -0.15286427132058433, -0.3929698868404801, -0.1777286886396568, -0.08763052606046563, 0.06798682164219094, -0.13707366583424496, -0.19004896324037052, 0.4114906420681353, 0.11555847014504962, 0.243320342732548, -0.003481942546985498, 0.177483446623494, 0.23201827529289692, -0.006659647767863623, 0.0104385031523501, 0.1901022142208204, 0.2073525631936585, 0.13674477880775202, -0.2945688547475672, 0.0323817725747642, 0.16678081949173315] |
712.2186 | The Afterglows of Swift-era Gamma-Ray Bursts. I. Comparing pre-Swift and
Swift era Long/Soft (Type II) GRB Optical Afterglows | We have gathered optical photometry data from the literature on a large
sample of Swift-era gamma-ray burst (GRB) afterglows including GRBs up to
September 2009, for a total of 76 GRBs, and present an additional three
pre-Swift GRBs not included in an earlier sample. Furthermore, we publish 840
additional new photometry data points on a total of 42 GRB afterglows,
including large data sets for GRBs 050319, 050408, 050802, 050820A, 050922C,
060418, 080413A and 080810. We analyzed the light curves of all GRBs in the
sample and derived spectral energy distributions for the sample with the best
data quality, allowing us to estimate the host galaxy extinction. We
transformed the afterglow light curves into an extinction-corrected z=1 system
and compared their luminosities with a sample of pre-Swift afterglows. The
results of a former study, which showed that GRB afterglows clustered and
exhibited a bimodal distribution in luminosity space, is weakened by the larger
sample. We found that the luminosity distribution of the two afterglow samples
(Swift-era and pre-Swift) are very similar, and that a subsample for which we
were not able to estimate the extinction, which is fainter than the main
sample, can be explained by assuming a moderate amount of line-of-sight host
extinction. We derived bolometric isotropic energies for all GRBs in our
sample, and found only a tentative correlation between the prompt energy
release and the optical afterglow luminosity at one day after the GRB in the
z=1 system. A comparative study of the optical luminosities of GRB afterglows
with echelle spectra (which show a high number of foreground absorbing systems)
and those without reveals no indication that the former are statistically
significantly more luminous. (abridged)
| astro-ph | we have gathered optical photometry data from the literature on a large sample of swiftera gammaray burst grb afterglows including grbs up to september 2009 for a total of 76 grbs and present an additional three preswift grbs not included in an earlier sample furthermore we publish 840 additional new photometry data points on a total of 42 grb afterglows including large data sets for grbs 050319 050408 050802 050820a 050922c 060418 080413a and 080810 we analyzed the light curves of all grbs in the sample and derived spectral energy distributions for the sample with the best data quality allowing us to estimate the host galaxy extinction we transformed the afterglow light curves into an extinctioncorrected z1 system and compared their luminosities with a sample of preswift afterglows the results of a former study which showed that grb afterglows clustered and exhibited a bimodal distribution in luminosity space is weakened by the larger sample we found that the luminosity distribution of the two afterglow samples swiftera and preswift are very similar and that a subsample for which we were not able to estimate the extinction which is fainter than the main sample can be explained by assuming a moderate amount of lineofsight host extinction we derived bolometric isotropic energies for all grbs in our sample and found only a tentative correlation between the prompt energy release and the optical afterglow luminosity at one day after the grb in the z1 system a comparative study of the optical luminosities of grb afterglows with echelle spectra which show a high number of foreground absorbing systems and those without reveals no indication that the former are statistically significantly more luminous abridged | [['we', 'have', 'gathered', 'optical', 'photometry', 'data', 'from', 'the', 'literature', 'on', 'a', 'large', 'sample', 'of', 'swiftera', 'gammaray', 'burst', 'grb', 'afterglows', 'including', 'grbs', 'up', 'to', 'september', '2009', 'for', 'a', 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712.2187 | Investigation of Low-Density Symmetry Energy via Nucleon and Fragment
Observables | With stochastic transport simulations we study in detail central and
peripheral collisions at Fermi energies and suggest new observables, sensitive
to the symmetry energy below normal density. As such we identify on one hand
the isospin imbalance ratio, i.e. the relative amount of isospin equilibration
in binary, peripheral reactions of nuclei with different isospin, as a function
of the energy loss, which is sensitive to isospin diffusion; on the other hand
the isospin asymmetry of an intermediate mass fragment (IMF) in symmetric
collisions in ternary reactions, or more particularly, the ratio of the IMF to
the residue asymmetry, which is sensitive to isospin migration.
| nucl-th | with stochastic transport simulations we study in detail central and peripheral collisions at fermi energies and suggest new observables sensitive to the symmetry energy below normal density as such we identify on one hand the isospin imbalance ratio ie the relative amount of isospin equilibration in binary peripheral reactions of nuclei with different isospin as a function of the energy loss which is sensitive to isospin diffusion on the other hand the isospin asymmetry of an intermediate mass fragment imf in symmetric collisions in ternary reactions or more particularly the ratio of the imf to the residue asymmetry which is sensitive to isospin migration | [['with', 'stochastic', 'transport', 'simulations', 'we', 'study', 'in', 'detail', 'central', 'and', 'peripheral', 'collisions', 'at', 'fermi', 'energies', 'and', 'suggest', 'new', 'observables', 'sensitive', 'to', 'the', 'symmetry', 'energy', 'below', 'normal', 'density', 'as', 'such', 'we', 'identify', 'on', 'one', 'hand', 'the', 'isospin', 'imbalance', 'ratio', 'ie', 'the', 'relative', 'amount', 'of', 'isospin', 'equilibration', 'in', 'binary', 'peripheral', 'reactions', 'of', 'nuclei', 'with', 'different', 'isospin', 'as', 'a', 'function', 'of', 'the', 'energy', 'loss', 'which', 'is', 'sensitive', 'to', 'isospin', 'diffusion', 'on', 'the', 'other', 'hand', 'the', 'isospin', 'asymmetry', 'of', 'an', 'intermediate', 'mass', 'fragment', 'imf', 'in', 'symmetric', 'collisions', 'in', 'ternary', 'reactions', 'or', 'more', 'particularly', 'the', 'ratio', 'of', 'the', 'imf', 'to', 'the', 'residue', 'asymmetry', 'which', 'is', 'sensitive', 'to', 'isospin', 'migration']] | [-0.10429254115912884, 0.22163918889880455, -0.10091129689960955, 0.14205594571271482, 0.0019298184107845793, -0.1259512184948947, 0.029079222821075328, 0.325932753057434, -0.24226369266846, -0.28942751495812374, -0.03270969256454219, -0.3054086984215806, 0.00961270591450067, 0.07270604463141914, 0.0433916490169045, 0.02111322647677018, 0.031805635447828814, 0.05891661415807903, -0.06933131507741144, -0.15779182070400566, 0.37601525229043686, 0.10108825234475752, 0.22227610018140134, 0.16039654142850152, 0.030944781762977634, 0.013471186111788623, 0.01318550003746238, -0.025405393488024577, -0.10154100699135317, 0.04630735613318393, 0.24830014173998138, 0.012627015955961095, 0.13203572312620684, -0.39619996565250826, -0.14837950530748528, 0.16138069892230517, 0.1380717241775598, 0.13075764798066722, -0.09720736083895296, -0.22441940884835695, 0.05767330608516484, -0.21201767188568527, -0.15336704903389686, -0.05146207424471728, 0.06844927910536241, 0.06178388036921835, -0.2914379760622978, 0.16471303284365255, -0.021113590983986796, 0.07565778775069003, -0.047112201761382706, -0.22265592120731106, -0.1090443568066873, 0.01605879344256559, 0.10316288106304665, 0.035860966226139754, 0.23939398096515035, -0.1594983654728052, -0.04160661445124648, 0.3963410582285948, 0.0069381545987338405, -0.17739679218413165, 0.20477430070213115, -0.17702875645437205, -0.1741407472604456, 0.12003712056544967, 0.22583229135936841, 0.1115817253325636, -0.1479593265730028, 0.018856100213060226, 0.003075454555353365, 0.18668229734556427, 0.0773608077210016, 0.058598647852284975, 0.18158722550679857, 0.17188547753119984, 0.07293397188634397, 0.08365257986196621, -0.15516581426177603, -0.16171270726660553, -0.30903963545838803, -0.11296817260265996, -0.11465872823072669, 0.0867205281706097, -0.08258179015487818, -0.0804446121910587, 0.35721875107488954, 0.08667954845497242, 0.25821778200882434, -0.017176867675376482, 0.29984451558602115, 0.12031586074870294, 0.12239447216360042, 0.034703495948073954, 0.23502006177575543, 0.1836395822756458, 0.11440924604315884, -0.3378055953116228, 0.108616741906959, 0.0008176821261608544] |
712.2188 | Capillarity-like growth of protein folding nuclei | We analyzed folding routes predicted by a variational model in terms of a
generalized formalism of the capillarity scaling theory for 28 two-state
proteins. The scaling exponent ranged from 0.2 to 0.45 with an average of 0.33.
This average value corresponds to packing of rigid objects.That is, on average
the folded core of the nucleus is found to be relatively diffuse. We also
studied the growth of the folding nucleus and interface along the folding route
in terms of the density or packing fraction. The evolution of the folded core
and interface regions can be classified into three patterns of growth depending
on how the growth of the folded core is balanced by changes in density of the
interface. Finally, we quantified the diffuse versus polarized structure of the
critical nucleus through direct calculation of the packing fraction of the
folded core and interface regions. Our results support the general picture of
describing protein folding as the capillarity-like growth of folding nuclei.
| q-bio.BM | we analyzed folding routes predicted by a variational model in terms of a generalized formalism of the capillarity scaling theory for 28 twostate proteins the scaling exponent ranged from 02 to 045 with an average of 033 this average value corresponds to packing of rigid objectsthat is on average the folded core of the nucleus is found to be relatively diffuse we also studied the growth of the folding nucleus and interface along the folding route in terms of the density or packing fraction the evolution of the folded core and interface regions can be classified into three patterns of growth depending on how the growth of the folded core is balanced by changes in density of the interface finally we quantified the diffuse versus polarized structure of the critical nucleus through direct calculation of the packing fraction of the folded core and interface regions our results support the general picture of describing protein folding as the capillaritylike growth of folding nuclei | [['we', 'analyzed', 'folding', 'routes', 'predicted', 'by', 'a', 'variational', 'model', 'in', 'terms', 'of', 'a', 'generalized', 'formalism', 'of', 'the', 'capillarity', 'scaling', 'theory', 'for', '28', 'twostate', 'proteins', 'the', 'scaling', 'exponent', 'ranged', 'from', '02', 'to', '045', 'with', 'an', 'average', 'of', '033', 'this', 'average', 'value', 'corresponds', 'to', 'packing', 'of', 'rigid', 'objectsthat', 'is', 'on', 'average', 'the', 'folded', 'core', 'of', 'the', 'nucleus', 'is', 'found', 'to', 'be', 'relatively', 'diffuse', 'we', 'also', 'studied', 'the', 'growth', 'of', 'the', 'folding', 'nucleus', 'and', 'interface', 'along', 'the', 'folding', 'route', 'in', 'terms', 'of', 'the', 'density', 'or', 'packing', 'fraction', 'the', 'evolution', 'of', 'the', 'folded', 'core', 'and', 'interface', 'regions', 'can', 'be', 'classified', 'into', 'three', 'patterns', 'of', 'growth', 'depending', 'on', 'how', 'the', 'growth', 'of', 'the', 'folded', 'core', 'is', 'balanced', 'by', 'changes', 'in', 'density', 'of', 'the', 'interface', 'finally', 'we', 'quantified', 'the', 'diffuse', 'versus', 'polarized', 'structure', 'of', 'the', 'critical', 'nucleus', 'through', 'direct', 'calculation', 'of', 'the', 'packing', 'fraction', 'of', 'the', 'folded', 'core', 'and', 'interface', 'regions', 'our', 'results', 'support', 'the', 'general', 'picture', 'of', 'describing', 'protein', 'folding', 'as', 'the', 'capillaritylike', 'growth', 'of', 'folding', 'nuclei']] | [-0.11376061903429217, 0.16543550070573473, -0.10090134359779768, 0.05896523226256249, 0.007867514250028762, -0.06053543139132671, 0.08585513689104118, 0.3463515204493888, -0.2855863046483137, -0.2968829361809185, 0.05823193369215005, -0.26537116084364243, -0.13724174936505734, 0.14810522010957355, 0.014993093178782146, 0.010150507395155727, 0.004527647013310343, 0.013750772882485763, -0.05019902028143406, -0.17300368763244478, 0.2778465253621107, 0.07584496797280735, 0.26838851944194175, 0.08722463195895216, 0.047959068333148024, 0.008312356405076571, 0.007675686152651906, 0.04894323343469296, -0.2070384529157309, 0.14903712418422402, 0.1845161893957993, 0.0749238482065266, 0.18841699747863458, -0.41818715174449606, -0.20395659799687565, 0.03187660073454026, 0.18199862106121145, 0.09261221196502448, -0.03507438455562806, -0.23181585810380057, 0.09022934958338738, -0.1624909206177108, -0.14723242315230892, 0.01626982042216696, 0.041866418719291684, 0.055814986962650436, -0.16880199386978348, 0.13513824293459037, 0.02215336054796353, 0.040216559252257866, -0.13432921062048991, -0.11948434621808701, -0.07246013070021036, 0.1259130954509601, 0.04413537750442629, 0.061774113462888636, 0.21016158290585735, -0.14209303434035975, -0.057744701611227356, 0.4038234105915762, -0.02481827286137559, -0.16869003136962418, 0.16887688660644926, -0.15137810180312955, -0.1103795239207102, 0.2032982807213557, 0.16647456535574748, 0.08118738425037009, -0.10905288224785181, 0.04214193925035943, -0.005151912015571724, 0.20786550114426064, 0.07844774099066854, -0.038478898257380934, 0.20510969400929752, 0.21128341003204695, 0.027431822672951967, 0.18251601012088942, -0.12088915001950226, -0.13551005244080444, -0.26771278999513015, -0.14962158567198003, -0.15772760412291972, 0.042285802264814265, -0.1333506128273257, -0.18017619861057027, 0.390640549530508, 0.011264017189387233, 0.22905048429092859, 0.05911572832555976, 0.21586966682516504, 0.08928031626419397, 0.058980378865089736, 0.03487543104456563, 0.2429190547845792, 0.1417794827168109, 0.03440631270204904, -0.24511002756480593, 0.0951138081800309, 0.0527429901791038] |
712.2189 | Towards Control of Steady State Plasma on Tore Supra | The Tore Supra tokamak is the largest superconducting magnetic fusion
facility, has been devoted to long-duration high-performance discharge
research. With a steady-state magnetic field and water cooled plasma facing
components, discharges up to 6 minutes 24 seconds duration with injected /
extracted energy up to 1 GJ have been performed. The Tore Supra real time
measurements and control (RTMC) system has been upgraded to address schemes
dedicated to long pulse operation with simultaneous control of an increasing
number of plasma parameters. This includes plasma equilibrium control with
possible self calibration during the discharge, plasma density control with
possible pellet injection, current profile control to avoid
magneto-hydrodynamic (MHD) instabilities and infrared monitoring of plasma
facing components preventing overheating. Most of these improvements are
relevant to the tokamaks operation in a fully steady state regime.
| physics.plasm-ph | the tore supra tokamak is the largest superconducting magnetic fusion facility has been devoted to longduration highperformance discharge research with a steadystate magnetic field and water cooled plasma facing components discharges up to 6 minutes 24 seconds duration with injected extracted energy up to 1 gj have been performed the tore supra real time measurements and control rtmc system has been upgraded to address schemes dedicated to long pulse operation with simultaneous control of an increasing number of plasma parameters this includes plasma equilibrium control with possible self calibration during the discharge plasma density control with possible pellet injection current profile control to avoid magnetohydrodynamic mhd instabilities and infrared monitoring of plasma facing components preventing overheating most of these improvements are relevant to the tokamaks operation in a fully steady state regime | [['the', 'tore', 'supra', 'tokamak', 'is', 'the', 'largest', 'superconducting', 'magnetic', 'fusion', 'facility', 'has', 'been', 'devoted', 'to', 'longduration', 'highperformance', 'discharge', 'research', 'with', 'a', 'steadystate', 'magnetic', 'field', 'and', 'water', 'cooled', 'plasma', 'facing', 'components', 'discharges', 'up', 'to', '6', 'minutes', '24', 'seconds', 'duration', 'with', 'injected', 'extracted', 'energy', 'up', 'to', '1', 'gj', 'have', 'been', 'performed', 'the', 'tore', 'supra', 'real', 'time', 'measurements', 'and', 'control', 'rtmc', 'system', 'has', 'been', 'upgraded', 'to', 'address', 'schemes', 'dedicated', 'to', 'long', 'pulse', 'operation', 'with', 'simultaneous', 'control', 'of', 'an', 'increasing', 'number', 'of', 'plasma', 'parameters', 'this', 'includes', 'plasma', 'equilibrium', 'control', 'with', 'possible', 'self', 'calibration', 'during', 'the', 'discharge', 'plasma', 'density', 'control', 'with', 'possible', 'pellet', 'injection', 'current', 'profile', 'control', 'to', 'avoid', 'magnetohydrodynamic', 'mhd', 'instabilities', 'and', 'infrared', 'monitoring', 'of', 'plasma', 'facing', 'components', 'preventing', 'overheating', 'most', 'of', 'these', 'improvements', 'are', 'relevant', 'to', 'the', 'tokamaks', 'operation', 'in', 'a', 'fully', 'steady', 'state', 'regime']] | [-0.14491646535779265, 0.19185953786004437, -0.018725951279823978, -0.0574527902697975, -0.03547613159047835, -0.1650267995710513, -0.025059436765414746, 0.3909707316338564, -0.21133831550215484, -0.3443297012603249, 0.1222800082821667, -0.24742943734092865, 0.057867843213237145, 0.25491159071151, -0.04003706851499649, 0.14984013341778668, 0.06790415690788491, -0.0684078269881535, -0.0029455221974234464, -0.1861143239024607, 0.1939359616195416, 0.1506776967205841, 0.3130438592122642, 0.04228011455923093, 0.0964026266186865, -0.07539975213964653, -0.011764423928759767, -0.015090606457582026, -0.11040205593830747, -0.02886497177479958, 0.28355368058140756, 0.07629556877707894, 0.29779761827773077, -0.5224875044218744, -0.26996273028128076, 0.05717951724672633, 0.12509774097028034, 0.03954249443874384, -0.053702938172853355, -0.19432553760425159, 0.07123851425465987, -0.23080136875311533, -0.1515751230339943, -0.0291554244221047, 0.04497696742658842, 0.05418934097344225, -0.28226123740332143, 0.012461800508335176, -0.009816957928926444, 0.07838097574351581, -0.10021646495971998, -0.07333471834629729, -0.006868425964829371, 0.11027109192218632, 0.06302389041626487, 0.06831652962666174, 0.25094339775034424, -0.13059103021320576, -0.08810017277684176, 0.3199154233090777, -0.01544766845428526, -0.05797498330304569, 0.1987689561633901, -0.1795922793398583, -0.08347140483304182, 0.23556318252601408, 0.16302524525919138, 0.058073319868664396, -0.1698390307737458, -0.01915634970073094, 0.03565626410030139, 0.1688043444671414, 0.10749319610432863, -0.013061377366256871, 0.24440342060882936, 0.24539516868323766, 0.06183575020799198, 0.12620711583418376, -0.15772653932182232, -0.026922729936124982, -0.23960884279486808, -0.07595557876717948, -0.07023919594234251, 0.04172407417861519, 0.05481465165840663, -0.15469833699083238, 0.4201727101974415, 0.16396185329579044, 0.07091427044625478, -0.0957005534490401, 0.37135782671358547, 0.10159808330530667, 0.07006781181906152, 0.1271225398610995, 0.2576292265545238, 0.19345544067062181, 0.2084022565236823, -0.2867458039563093, 0.031068489922097688, -0.007509924850610057] |
712.219 | Some Late-time Asymptotics of General Scalar-Tensor Cosmologies | We study the asymptotic behaviour of isotropic and homogeneous universes in
general scalar-tensor gravity theories containing a p=-rho vacuum fluid stress
and other sub-dominant matter stresses. It is shown that in order for there to
be approach to a de Sitter spacetime at large 4-volumes the coupling function,
omega(phi), which defines the scalar-tensor theory, must diverge faster than
|phi_infty-phi|^(-1+epsilon) for all epsilon>0 as phi rightarrow phi_infty <> 0
for large values of the time. Thus, for a given theory, specified by
omega(phi), there must exist some phi_infty in (0,infty) such that omega ->
infty and omega' / omega^(2+epsilon) -> 0 as phi -> 0 phi_infty in order for
cosmological solutions of the theory to approach de Sitter expansion at late
times. We also classify the possible asymptotic time variations of the
gravitation `constant' G(t) at late times in scalar-tensor theories. We show
that (unlike in general relativity) the problem of a profusion of ``Boltzmann
brains'' at late cosmological times can be avoided in scalar-tensor theories,
including Brans-Dicke theory, in which phi -> infty and omega ~ o(\phi^(1/2))
at asymptotically late times.
| gr-qc astro-ph | we study the asymptotic behaviour of isotropic and homogeneous universes in general scalartensor gravity theories containing a prho vacuum fluid stress and other subdominant matter stresses it is shown that in order for there to be approach to a de sitter spacetime at large 4volumes the coupling function omegaphi which defines the scalartensor theory must diverge faster than phi_inftyphi1epsilon for all epsilon0 as phi rightarrow phi_infty 0 for large values of the time thus for a given theory specified by omegaphi there must exist some phi_infty in 0infty such that omega infty and omega omega2epsilon 0 as phi 0 phi_infty in order for cosmological solutions of the theory to approach de sitter expansion at late times we also classify the possible asymptotic time variations of the gravitation constant gt at late times in scalartensor theories we show that unlike in general relativity the problem of a profusion of boltzmann brains at late cosmological times can be avoided in scalartensor theories including bransdicke theory in which phi infty and omega ophi12 at asymptotically late times | [['we', 'study', 'the', 'asymptotic', 'behaviour', 'of', 'isotropic', 'and', 'homogeneous', 'universes', 'in', 'general', 'scalartensor', 'gravity', 'theories', 'containing', 'a', 'prho', 'vacuum', 'fluid', 'stress', 'and', 'other', 'subdominant', 'matter', 'stresses', 'it', 'is', 'shown', 'that', 'in', 'order', 'for', 'there', 'to', 'be', 'approach', 'to', 'a', 'de', 'sitter', 'spacetime', 'at', 'large', '4volumes', 'the', 'coupling', 'function', 'omegaphi', 'which', 'defines', 'the', 'scalartensor', 'theory', 'must', 'diverge', 'faster', 'than', 'phi_inftyphi1epsilon', 'for', 'all', 'epsilon0', 'as', 'phi', 'rightarrow', 'phi_infty', '0', 'for', 'large', 'values', 'of', 'the', 'time', 'thus', 'for', 'a', 'given', 'theory', 'specified', 'by', 'omegaphi', 'there', 'must', 'exist', 'some', 'phi_infty', 'in', '0infty', 'such', 'that', 'omega', 'infty', 'and', 'omega', 'omega2epsilon', '0', 'as', 'phi', '0', 'phi_infty', 'in', 'order', 'for', 'cosmological', 'solutions', 'of', 'the', 'theory', 'to', 'approach', 'de', 'sitter', 'expansion', 'at', 'late', 'times', 'we', 'also', 'classify', 'the', 'possible', 'asymptotic', 'time', 'variations', 'of', 'the', 'gravitation', 'constant', 'gt', 'at', 'late', 'times', 'in', 'scalartensor', 'theories', 'we', 'show', 'that', 'unlike', 'in', 'general', 'relativity', 'the', 'problem', 'of', 'a', 'profusion', 'of', 'boltzmann', 'brains', 'at', 'late', 'cosmological', 'times', 'can', 'be', 'avoided', 'in', 'scalartensor', 'theories', 'including', 'bransdicke', 'theory', 'in', 'which', 'phi', 'infty', 'and', 'omega', 'ophi12', 'at', 'asymptotically', 'late', 'times']] | [-0.16731817562195342, 0.1861881673238565, -0.11345461960936096, 0.09690171717950359, -0.0467282592976834, -0.1719659697697606, -0.06133867894450939, 0.2929425346042398, -0.1990523336260298, -0.2339003057284064, 0.03542828713787373, -0.2689533530582869, -0.0983280036963934, 0.138373880983509, -0.015959653578330436, 0.02511421375006754, -0.0346997725874792, 0.10482967129995137, -0.07102681309164795, -0.23481165355972966, 0.3071081358425016, 0.01840475486418189, 0.1917863908429565, -0.011077603943196537, 0.08469484548279366, -0.06682232097278587, 0.06401612522719471, 0.042688042759288884, -0.24174863185937792, -0.04155537913902663, 0.2772183428101545, 0.12023883295613666, 0.2625635701318293, -0.4067944900977404, -0.20991668081300896, 0.16495814274043538, 0.14921869927080522, 0.10188915097252141, 0.023328053889536234, -0.2802611890378906, 0.12431122794704036, -0.1450358549279139, -0.145679508885477, -0.06523910393331979, 0.10064450625958311, -0.06770213929324433, -0.27541556306248316, 0.13027259489925117, 0.006413934890419071, -0.032066706015706756, -0.09149261830959382, -0.11604015839754517, 0.005748172244598526, 0.037214425146081594, 0.1621689104385739, 0.1143345942079133, 0.0943443777803115, -0.13919540734279381, -0.03785862736566382, 0.4001852364582551, -0.17071998954338066, -0.1943140138173476, 0.13404996377188538, -0.21015108800303667, -0.1916757554037843, 0.08873255687310945, 0.11411720265222844, 0.19385771720662043, -0.074331697840027, 0.23028464218720707, 0.056824425917638595, 0.12559362615155445, 0.1699476988152276, 0.025846278263109757, 0.22809571341806373, 0.08240083426096324, 0.02965152302187012, 0.033194648907695856, 0.04719293280267752, -0.09568733172822841, -0.4162606855876051, -0.15337233062357056, -0.1474052742292812, 0.1183534454632832, -0.1865915088142068, -0.1747518291518053, 0.27916381616134545, 0.0867583681531467, 0.13078917572707977, 0.12296103038094115, 0.20541733897529368, 0.09411503924842014, 0.00961933242898911, 0.1035105626012177, 0.24706884636256038, 0.09659880415541879, 0.13131661331253994, -0.22383336628094141, -0.0408049565685783, 0.0708543591893029] |
712.2191 | f-oscillators deformation for Moyal algebras | Using general construction of star-product the q-deformed Wigner-Weyl-Moyal
quantization procedure is elaborated. The q-deformed Groenewold kernel
determining the product of quantum observables is given in explicit form for
small nonlinearities corresponding to nonlinear vibrations of classical and
quantum q-oscillators. The deformations of Groenewold kernel related to general
kinds of nonlinear vibrations described by f-oscillators are considered.
| quant-ph | using general construction of starproduct the qdeformed wignerweylmoyal quantization procedure is elaborated the qdeformed groenewold kernel determining the product of quantum observables is given in explicit form for small nonlinearities corresponding to nonlinear vibrations of classical and quantum qoscillators the deformations of groenewold kernel related to general kinds of nonlinear vibrations described by foscillators are considered | [['using', 'general', 'construction', 'of', 'starproduct', 'the', 'qdeformed', 'wignerweylmoyal', 'quantization', 'procedure', 'is', 'elaborated', 'the', 'qdeformed', 'groenewold', 'kernel', 'determining', 'the', 'product', 'of', 'quantum', 'observables', 'is', 'given', 'in', 'explicit', 'form', 'for', 'small', 'nonlinearities', 'corresponding', 'to', 'nonlinear', 'vibrations', 'of', 'classical', 'and', 'quantum', 'qoscillators', 'the', 'deformations', 'of', 'groenewold', 'kernel', 'related', 'to', 'general', 'kinds', 'of', 'nonlinear', 'vibrations', 'described', 'by', 'foscillators', 'are', 'considered']] | [-0.11562409493074353, 0.1394894453260349, -0.031723449139722755, 0.09886334812784169, -0.0901311669149436, -0.16226052334864757, -0.0696852477516846, 0.292465280475361, -0.2668635530862957, -0.16833099124154874, 0.04696359604297738, -0.2263164772136536, -0.19815040326544217, 0.2170814580417105, -0.08496479041267387, 0.11785063870982933, 0.02612274496894835, 0.05483167992705213, -0.11187452586766865, -0.2148483645869419, 0.3622477125110371, 0.06581363578776031, 0.2667578386774819, -0.012378290029508727, 0.13203117374463805, 0.05960000617363091, -0.03944921033689752, -0.03512771512448255, -0.1352591333062654, 0.14006556785066746, 0.2847870844208436, 0.03645069503025817, 0.18725033694811696, -0.416186491958797, -0.18282598669039934, 0.06688318850605615, 0.08944537593301252, 0.11816127545067243, 0.04574743181001395, -0.3205939419567585, 0.0022323035186023583, -0.1832974470370183, -0.15234857721121184, -0.15977054860975062, 0.014627356780692935, 0.007413586547564981, -0.21641787414305977, 0.12412859808786639, 0.08372964423116562, 0.023368884676269124, -0.07106290691133056, -0.10376419519057631, 0.0049891446085114565, 0.0546347230140652, -0.055571533648097624, -0.0194949069908554, 0.12320016201452486, -0.11054315605932581, -0.11582601652480662, 0.38565904750222607, 0.0035156968265904914, -0.295522641324039, 0.08936605387134477, -0.08576911386002653, -0.1337959324591793, 0.06060934620576778, 0.11159396437661988, 0.08290244356196906, -0.1442472565432971, 0.14722581814684027, 0.02088771264867059, 0.0529225361533463, 0.1207883097647157, 0.05517142233812982, 0.12183524279472684, 0.07275170726435524, -0.0193585885239632, 0.2025081291794777, 0.01795103247942669, -0.22040488770497696, -0.38410366818841013, -0.14388491913112894, -0.19568136444182269, 0.12293589695556355, -0.10839476941925698, -0.1953795858592327, 0.3792663130235659, 0.03863295179637914, 0.12631682713981718, -0.011107840675062366, 0.20824988099879452, 0.23203755808728083, 0.08516291812494663, 2.6404474868156413e-06, 0.20597403355142369, 0.2621763524574427, 0.008988407457114331, -0.22565658760972188, -0.05347801790672487, 0.17649720822061812] |
712.2192 | Age-dependent decay in the landscape | The picture of the "multiverse" arising in diverse cosmological scenarios
involves transitions between metastable vacuum states. It was pointed out by
Krauss and Dent that the transition rates decrease at very late times, leading
to a dependence of the transition probability between vacua on the age of each
vacuum region. I investigate the implications of this non-Markovian,
age-dependent decay on the global structure of the spacetime in landscape
scenarios. I show that the fractal dimension of the eternally inflating domain
is precisely equal to 3, instead of being slightly below 3 in scenarios with
purely Markovian, age-independent decay. I develop a complete description of a
non-Markovian landscape in terms of a nonlocal master equation. Using this
description I demonstrate by an explicit calculation that, under some technical
assumptions about the landscape, the probabilistic predictions of our position
in the landscape are essentially unchanged, regardless of the measure used to
extract these predictions. I briefly discuss the physical plausibility of
realizing non-Markovian vacuum decay in cosmology in view of the possible
decoherence of the metastable quantum state.
| hep-th astro-ph gr-qc | the picture of the multiverse arising in diverse cosmological scenarios involves transitions between metastable vacuum states it was pointed out by krauss and dent that the transition rates decrease at very late times leading to a dependence of the transition probability between vacua on the age of each vacuum region i investigate the implications of this nonmarkovian agedependent decay on the global structure of the spacetime in landscape scenarios i show that the fractal dimension of the eternally inflating domain is precisely equal to 3 instead of being slightly below 3 in scenarios with purely markovian ageindependent decay i develop a complete description of a nonmarkovian landscape in terms of a nonlocal master equation using this description i demonstrate by an explicit calculation that under some technical assumptions about the landscape the probabilistic predictions of our position in the landscape are essentially unchanged regardless of the measure used to extract these predictions i briefly discuss the physical plausibility of realizing nonmarkovian vacuum decay in cosmology in view of the possible decoherence of the metastable quantum state | [['the', 'picture', 'of', 'the', 'multiverse', 'arising', 'in', 'diverse', 'cosmological', 'scenarios', 'involves', 'transitions', 'between', 'metastable', 'vacuum', 'states', 'it', 'was', 'pointed', 'out', 'by', 'krauss', 'and', 'dent', 'that', 'the', 'transition', 'rates', 'decrease', 'at', 'very', 'late', 'times', 'leading', 'to', 'a', 'dependence', 'of', 'the', 'transition', 'probability', 'between', 'vacua', 'on', 'the', 'age', 'of', 'each', 'vacuum', 'region', 'i', 'investigate', 'the', 'implications', 'of', 'this', 'nonmarkovian', 'agedependent', 'decay', 'on', 'the', 'global', 'structure', 'of', 'the', 'spacetime', 'in', 'landscape', 'scenarios', 'i', 'show', 'that', 'the', 'fractal', 'dimension', 'of', 'the', 'eternally', 'inflating', 'domain', 'is', 'precisely', 'equal', 'to', 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0.08802584758615756, -0.25462423265972495, 0.07320017439170359, 0.012865601237122477] |
712.2193 | Harmonic functions on R-covered foliations and group actions on the
circle | Let (M, F) be a compact codimension-one foliated manifold whose leaves are
equipped with Riemannian metrics, and consider continuous functions on M that
are harmonic along the leaves of F . If every such function is constant on
leaves we say that (M, F) has the Liouville property. Our main result is that
codimension-one foliated bundles over compact negatively curved manifolds
satisfy the Liouville property. Related results for R-covered foliations, as
well as for discrete group actions and discrete harmonic functions, are also
established.
| math.DS math.GT | let m f be a compact codimensionone foliated manifold whose leaves are equipped with riemannian metrics and consider continuous functions on m that are harmonic along the leaves of f if every such function is constant on leaves we say that m f has the liouville property our main result is that codimensionone foliated bundles over compact negatively curved manifolds satisfy the liouville property related results for rcovered foliations as well as for discrete group actions and discrete harmonic functions are also established | [['let', 'm', 'f', 'be', 'a', 'compact', 'codimensionone', 'foliated', 'manifold', 'whose', 'leaves', 'are', 'equipped', 'with', 'riemannian', 'metrics', 'and', 'consider', 'continuous', 'functions', 'on', 'm', 'that', 'are', 'harmonic', 'along', 'the', 'leaves', 'of', 'f', 'if', 'every', 'such', 'function', 'is', 'constant', 'on', 'leaves', 'we', 'say', 'that', 'm', 'f', 'has', 'the', 'liouville', 'property', 'our', 'main', 'result', 'is', 'that', 'codimensionone', 'foliated', 'bundles', 'over', 'compact', 'negatively', 'curved', 'manifolds', 'satisfy', 'the', 'liouville', 'property', 'related', 'results', 'for', 'rcovered', 'foliations', 'as', 'well', 'as', 'for', 'discrete', 'group', 'actions', 'and', 'discrete', 'harmonic', 'functions', 'are', 'also', 'established']] | [-0.20848774890897862, 0.16619288141724192, -0.06285409922767655, 0.054740665382312904, -0.10391712813716696, -0.2068201837758253, -0.0902392462005345, 0.41837315952562426, -0.24456372522715344, -0.17187338102579464, 0.10593664160851075, -0.289293949615704, -0.16287731042647935, 0.23112237634956387, -0.15370099554511618, 0.02184139956237681, 0.07653637379632298, 0.13230350175984654, -0.07905065939559724, -0.23772082588051907, 0.47759839237095364, -0.05719737925690161, 0.18175687534308219, 0.07653249878750508, 0.1697225319165512, -0.01759755647887128, 0.014473777460719806, 0.033847979508362804, -0.1408615945879593, 0.05932985981140869, 0.23245851199019207, 0.08076002242335353, 0.22205436264490147, -0.3380361585411473, -0.23702910899308072, 0.20181975514818745, 0.10529536359483399, -0.11513789453689592, -0.025493568451850707, -0.3062641472073205, 0.1406819566394236, -0.02440680088811969, -0.21019769949187717, -0.1002354093838528, 0.07093442023832755, 0.05481395571414067, -0.18847707448055945, 0.0052938075390425565, 0.12675532918698323, 0.056381387501416434, -0.07862390671486416, -0.06606862721515887, -0.1495073392863823, 0.11039699180365865, 0.0010965659931100097, 0.16604217476806188, 0.13925869732531326, 0.05121616918540346, -0.11150560737026474, 0.3451152336727603, -0.13678584826818432, -0.3633334451321378, 0.12892704562239168, -0.16760951379336506, -0.20433075809065837, 0.10072685668177633, 0.12450350124209401, 0.21043330040502262, -0.03709318693615047, 0.2198255974448746, -0.10701689132803445, 0.07198476264006402, 0.11154067774965282, -0.0005354728628264135, 0.1449569098185748, 0.07660995157300887, 0.2078304188830935, 0.10296572631095952, 0.06296000220947506, -0.04751778775769993, -0.3623613618897745, -0.2065203624513808, -0.16610888641114424, 0.21406309683638883, -0.10110291829634267, -0.2229175765589104, 0.3257190836930131, -0.06745744467409978, 0.20541487596031413, 0.15622773382767854, 0.20240462040640864, 0.06743279245193957, 0.05651031965558159, 0.12397570644381893, 0.096058065071702, 0.22350939085247018, -0.044663438098000205, -0.07350108681628144, -0.04847460315865745, 0.15590521983847203] |
712.2194 | Cohomological analysis of the Epstein-Glaser renormalization | A cohomological analysis of the renormalization freedom is performed in the
Epstein-Glaser scheme on a flat Euclidean space. We study the deviation from
commutativity between the renormalization and the action of all linear partial
differential operators. It defines a Hochschild 1-cocycle and the
renormalization ambiguity corresponds to a nonlinear subset in the cohomology
class of this renormalization cocycle. We have shown that the related
cohomology spaces can be reduced to de Rham cohomologies of the so called
"(ordered) configuration spaces". We have also found cohomological differential
equations that exactly determine the renormalization cocycles up to the
renormalization freedom. This analysis is a first step towards a new approach
for computing renormalization group actions. It can be also naturally extended
to manifolds as well as to the case of causal perturbation theory.
| hep-th math-ph math.MP | a cohomological analysis of the renormalization freedom is performed in the epsteinglaser scheme on a flat euclidean space we study the deviation from commutativity between the renormalization and the action of all linear partial differential operators it defines a hochschild 1cocycle and the renormalization ambiguity corresponds to a nonlinear subset in the cohomology class of this renormalization cocycle we have shown that the related cohomology spaces can be reduced to de rham cohomologies of the so called ordered configuration spaces we have also found cohomological differential equations that exactly determine the renormalization cocycles up to the renormalization freedom this analysis is a first step towards a new approach for computing renormalization group actions it can be also naturally extended to manifolds as well as to the case of causal perturbation theory | [['a', 'cohomological', 'analysis', 'of', 'the', 'renormalization', 'freedom', 'is', 'performed', 'in', 'the', 'epsteinglaser', 'scheme', 'on', 'a', 'flat', 'euclidean', 'space', 'we', 'study', 'the', 'deviation', 'from', 'commutativity', 'between', 'the', 'renormalization', 'and', 'the', 'action', 'of', 'all', 'linear', 'partial', 'differential', 'operators', 'it', 'defines', 'a', 'hochschild', '1cocycle', 'and', 'the', 'renormalization', 'ambiguity', 'corresponds', 'to', 'a', 'nonlinear', 'subset', 'in', 'the', 'cohomology', 'class', 'of', 'this', 'renormalization', 'cocycle', 'we', 'have', 'shown', 'that', 'the', 'related', 'cohomology', 'spaces', 'can', 'be', 'reduced', 'to', 'de', 'rham', 'cohomologies', 'of', 'the', 'so', 'called', 'ordered', 'configuration', 'spaces', 'we', 'have', 'also', 'found', 'cohomological', 'differential', 'equations', 'that', 'exactly', 'determine', 'the', 'renormalization', 'cocycles', 'up', 'to', 'the', 'renormalization', 'freedom', 'this', 'analysis', 'is', 'a', 'first', 'step', 'towards', 'a', 'new', 'approach', 'for', 'computing', 'renormalization', 'group', 'actions', 'it', 'can', 'be', 'also', 'naturally', 'extended', 'to', 'manifolds', 'as', 'well', 'as', 'to', 'the', 'case', 'of', 'causal', 'perturbation', 'theory']] | [-0.1781119263707838, 0.09750183773731799, -0.17017486120595504, 0.08637904426090078, -0.12034695727558707, -0.09659040078186636, -0.003867576797208429, 0.3216332554522162, -0.3389163391685952, -0.24290746114063894, 0.10718470613848959, -0.2538711675122835, -0.1952168490926074, 0.14178855867544546, -0.09519807840044575, 0.047342998850095366, 0.02338958982349807, 0.0786154322212434, -0.1355247111735112, -0.22937295148380185, 0.42274853229728876, 0.001205638964582263, 0.24033119717172083, 0.04225223124709748, 0.12476719344987441, -0.005485732595343853, -0.04204094513738883, 0.02661981488349634, -0.12019789485202637, 0.09891842547199824, 0.327170179538315, 0.006975740133891351, 0.23669771067371578, -0.32503849464177176, -0.19221986191105525, 0.09842833056192817, 0.1468534654944794, 0.1217356069486247, -0.0012390163348532702, -0.3288725828734148, 0.0852201858407441, -0.2107405893661025, -0.14133795809341979, -0.14694560806530008, 0.005498084125912371, -0.0784559709798431, -0.23559489020836036, 0.01890573535382904, -0.010409391192783325, 0.0650851710376024, -0.056500403036342094, -0.031132952384792894, -0.08319220375020825, 0.11751306452255213, 0.02733483740114358, 0.044962228771711465, 0.12318353527332195, -0.05803169280589195, -0.1231885016007164, 0.3874292238295533, -0.08669274509351217, -0.2639555824717919, 0.10686384523749522, -0.1402661583052223, -0.22599088786105903, 0.1034953897776267, 0.10402540299501128, 0.18288355160732078, -0.09181661021590005, 0.177620506545934, -0.07650338644730567, 0.09854655799576799, 0.05292158358453112, 0.019871426273478578, 0.08200287886447351, 0.09155124486139656, 0.12846684569976372, 0.09193412767801405, 0.023072123742584168, -0.12249201856187424, -0.3723503284383821, -0.19557393781524435, -0.10273170109415242, 0.12258083056231947, -0.1183519495592474, -0.17613075520085233, 0.40473992799022496, 0.14196157790827102, 0.1728560837191878, 0.09015642891758839, 0.23264709470850478, 0.1285367259410928, 0.11376150343513813, 0.043377618563542754, 0.18228224871985843, 0.21044485803999236, 0.029617036696352805, -0.23132977048681608, -0.04376521985622422, 0.2245072120025697] |
712.2195 | Quark and Gluon Degrees of Freedom in High-Energy Heavy Ion Collisions | I discuss some recent progress in our understanding of high energy nuclear
collisions. I will focus on two topics which I was lucky to co-pioneer in the
recent past. One is recombination of quarks and its interpretation as a signal
for deconfinement, the second is electromagnetic radiation from jets passing
through a quark gluon plasma. This talk was given during the award ceremony for
the 2007 IUPAP Young Scientist Award.
| nucl-th | i discuss some recent progress in our understanding of high energy nuclear collisions i will focus on two topics which i was lucky to copioneer in the recent past one is recombination of quarks and its interpretation as a signal for deconfinement the second is electromagnetic radiation from jets passing through a quark gluon plasma this talk was given during the award ceremony for the 2007 iupap young scientist award | [['i', 'discuss', 'some', 'recent', 'progress', 'in', 'our', 'understanding', 'of', 'high', 'energy', 'nuclear', 'collisions', 'i', 'will', 'focus', 'on', 'two', 'topics', 'which', 'i', 'was', 'lucky', 'to', 'copioneer', 'in', 'the', 'recent', 'past', 'one', 'is', 'recombination', 'of', 'quarks', 'and', 'its', 'interpretation', 'as', 'a', 'signal', 'for', 'deconfinement', 'the', 'second', 'is', 'electromagnetic', 'radiation', 'from', 'jets', 'passing', 'through', 'a', 'quark', 'gluon', 'plasma', 'this', 'talk', 'was', 'given', 'during', 'the', 'award', 'ceremony', 'for', 'the', '2007', 'iupap', 'young', 'scientist', 'award']] | [-0.03875770088136736, 0.19198058680563734, -0.12104234174298852, 0.06484135734490996, -0.13576206878043603, -0.08753646273786823, 0.016140780951557816, 0.3655413069991746, -0.1735337566503364, -0.28418515429602587, 0.07428025703647755, -0.2970041435657312, -0.052358734380939735, 0.14025116053180417, -0.07077583059857505, -0.017104470411457285, 0.1123189055968238, 0.04393634898588061, -0.009237963105619385, -0.28202888248083385, 0.2949080476739808, 0.10207689877437509, 0.19829216925089882, 0.15185830300754827, 0.07900400694959081, 0.014888921553484988, -0.12665327489915965, -0.0633461856117904, -0.08877618804272851, 0.06561304970038717, 0.23830605376144007, 0.18960178265537042, 0.3034486567499909, -0.39899612698650017, -0.18120054799078059, 0.046922445513200066, 0.09570672043828644, 0.10435732432971775, -0.07785187362848471, -0.26955633776505356, 0.022351576568747776, -0.22303624224403631, -0.09807619870896789, 0.029954080550890903, 0.07979389375237667, 0.03322510453669921, -0.22899814359033885, 0.032383887299700924, 0.036798758305730705, 0.057208721094049404, 0.012988118520613922, -0.1743801380440161, 0.024219775926726667, 0.07501905828552402, 0.08706739379018816, 0.13453455489344787, 0.13592247994265694, -0.2278841202656833, -0.1709889773333418, 0.3750093114980753, -0.01779965391598534, -0.03274656619296234, 0.20741562664751773, -0.20592359987937886, -0.17898242123613972, 0.12130398832032106, 0.18749093090899396, 0.10815969570472404, -0.17942437106756953, 0.07206337138305188, -0.033388544818845345, 0.1040800518889412, 0.09111564813613676, -0.014371956928052765, 0.2778629141765228, 0.19619808012646608, -0.06530860631956138, 0.06978023466586634, -0.09087110738323974, -0.05007829245827768, -0.33263019946120354, -0.1603923872437166, -0.15579542503152313, 0.053346838542273727, -0.0005953522425219147, -0.06663933573155731, 0.432078315458004, 0.1442132468396069, 0.15851100648591376, -0.08825053154673103, 0.2947229586163725, 0.06290537204620415, -0.01883782397793687, 0.09039194609267988, 0.3113825167685349, 0.15191107673867457, 0.24427042483095673, -0.20827324370612335, 0.044371263464858784, 0.0922400069396025] |
712.2196 | Dark Energy: back to Newton? | Dark Energy is currently one of the biggest mysteries in science. In this
article the origin of the concept is traced as far back as Newton and Hooke in
the seventeenth century. Newton considered, along with the inverse square law,
a force of attraction that varies linearly with distance. A direct link can be
made between this term and Einstein's cosmological constant, Lambda, and this
leads to a possible relation between Lambda and the total mass of the universe.
Mach's influence on Einstein is discussed and the convoluted history of Lambda
throughout the last ninety years is coherently presented.
| astro-ph | dark energy is currently one of the biggest mysteries in science in this article the origin of the concept is traced as far back as newton and hooke in the seventeenth century newton considered along with the inverse square law a force of attraction that varies linearly with distance a direct link can be made between this term and einsteins cosmological constant lambda and this leads to a possible relation between lambda and the total mass of the universe machs influence on einstein is discussed and the convoluted history of lambda throughout the last ninety years is coherently presented | [['dark', 'energy', 'is', 'currently', 'one', 'of', 'the', 'biggest', 'mysteries', 'in', 'science', 'in', 'this', 'article', 'the', 'origin', 'of', 'the', 'concept', 'is', 'traced', 'as', 'far', 'back', 'as', 'newton', 'and', 'hooke', 'in', 'the', 'seventeenth', 'century', 'newton', 'considered', 'along', 'with', 'the', 'inverse', 'square', 'law', 'a', 'force', 'of', 'attraction', 'that', 'varies', 'linearly', 'with', 'distance', 'a', 'direct', 'link', 'can', 'be', 'made', 'between', 'this', 'term', 'and', 'einsteins', 'cosmological', 'constant', 'lambda', 'and', 'this', 'leads', 'to', 'a', 'possible', 'relation', 'between', 'lambda', 'and', 'the', 'total', 'mass', 'of', 'the', 'universe', 'machs', 'influence', 'on', 'einstein', 'is', 'discussed', 'and', 'the', 'convoluted', 'history', 'of', 'lambda', 'throughout', 'the', 'last', 'ninety', 'years', 'is', 'coherently', 'presented']] | [-0.13681491266823176, 0.11135151135180184, -0.08406999716864466, 0.07034380849323828, -0.11283368137994348, -0.09713461448090395, -0.004358091733813511, 0.31335318721642696, -0.31768123561947376, -0.3049682885116775, 0.08275798472547621, -0.2843755019188981, -0.08858641286879176, 0.18163349700625986, -0.03466881459315467, -0.040860764287186394, -0.002902191649708483, 0.07504815183993843, -0.029742675425950438, -0.2730112181543702, 0.3134577629448037, 0.12055100475183943, 0.2104266339329758, 0.06215296356675375, 0.14450157375422992, -0.02826643104175802, -0.06548554640300948, 0.030772664292593194, -0.16236382116590958, 0.09511878089967532, 0.20695623034385568, 0.12605311229561617, 0.30399812775137225, -0.37569564912054276, -0.1621156670811652, 0.10921562930587868, 0.11122159285452028, 0.07792928456940283, -0.01170702773085184, -0.24169327955542488, 0.003983635350713751, -0.15691435575071308, -0.17484252936573644, 0.051954552312522675, 0.09674773319163407, 0.011804871383414727, -0.13865559938307287, 0.12161341293555017, 0.006325663396655911, 0.0017123136650582756, -0.04755608636920865, -0.11201846669192868, 0.01965038442626746, 0.10141527698836242, 0.13622906404274582, 0.08181824756673339, 0.0927187909626148, -0.11658472383648834, -0.06443563557107641, 0.4345306159947256, -0.10429535933883127, -0.11733918748984132, 0.14702258080319322, -0.14466137156793565, -0.07357286638815445, 0.08834980707850797, 0.09433773743233295, 0.07487582533087904, -0.15476467536343144, 0.12967935065924652, -0.025958447887637473, 0.17893103724627785, 0.113959852138045, -0.004870059970540531, 0.27962634421772126, 0.154337675583483, 0.0505717433706829, 0.08537397027424903, -0.05832553546019651, -0.14997801087817855, -0.3222200946336744, -0.18586352983997625, -0.1970519485126127, 0.08905999388338791, -0.06246007729872633, -0.12794780318220758, 0.3485062779727006, 0.09198505738091589, 0.19322929828136107, 0.016332848825388484, 0.2837826076970257, 0.07797227741331991, 0.06959894042452704, 0.01820482365373108, 0.3377635488004396, 0.1732764435988484, 0.14772643883138745, -0.20614184116276751, 0.03569082354637559, 0.05177148912958048] |
712.2197 | Di-pion emission in heavy quarkonia decays | The di-pion spectrum for the $\Upsilon(nS) \to \Upsilon (n'S))$ transition
with $n\leq 4$ has the form $\frac{dw}{dq}\sim $ (phase space) $ |\eta-x|^2$,
with $x=\frac{q^2-4m^2_\pi}{(\Delta M)^2 -4 m^2_\pi}< q^2 \equiv M^2_{\pi\pi},
$ and $\Delta M=M(nS) -M(n'S)$. The parameter $\eta $ is calculated and the
spectrum is shown to reproduce the experimental data for all 3 types of decays:
$3\to 1, 2\to 1$ and $3\to 2$ with $\eta \approx 0.5; 0$, and -3, respectively.
| hep-ph | the dipion spectrum for the upsilonns to upsilon ns transition with nleq 4 has the form fracdwdqsim phase space etax2 with xfracq24m2_pidelta m2 4 m2_pi q2 equiv m2_pipi and delta mmns mns the parameter eta is calculated and the spectrum is shown to reproduce the experimental data for all 3 types of decays 3to 1 2to 1 and 3to 2 with eta approx 05 0 and 3 respectively | [['the', 'dipion', 'spectrum', 'for', 'the', 'upsilonns', 'to', 'upsilon', 'ns', 'transition', 'with', 'nleq', '4', 'has', 'the', 'form', 'fracdwdqsim', 'phase', 'space', 'etax2', 'with', 'xfracq24m2_pidelta', 'm2', '4', 'm2_pi', 'q2', 'equiv', 'm2_pipi', 'and', 'delta', 'mmns', 'mns', 'the', 'parameter', 'eta', 'is', 'calculated', 'and', 'the', 'spectrum', 'is', 'shown', 'to', 'reproduce', 'the', 'experimental', 'data', 'for', 'all', '3', 'types', 'of', 'decays', '3to', '1', '2to', '1', 'and', '3to', '2', 'with', 'eta', 'approx', '05', '0', 'and', '3', 'respectively']] | [-0.10742620526252722, 0.24547041290497873, 0.03247301856754348, 0.06127083861974825, 0.059779533541586716, -0.19689799114712514, -0.0024655548240843927, 0.31970532739069313, -0.15634704631156637, -0.32274499820778146, 0.04679114129248774, -0.3849007122189505, -0.003208884088621744, 0.12757785800931742, 0.09979729374754243, 0.03253677293105284, -0.009651979726186255, 0.030299146805191413, -0.10621507817995735, -0.14956810096191475, 0.29150442613172345, -0.05126914025458973, 0.11540398410943453, 0.0751468321250286, -0.005034868356233346, -0.01565814008063171, 0.041196625228622, -0.11142896171850225, -0.24198775897093583, -0.015733344705950003, 0.22865896445000544, 0.10579634502209956, 0.08668123833194841, -0.24923594366009638, -0.10207586709293537, 0.14117665785670397, 0.18780770967714489, -0.03456751906196587, 0.06032473687082529, -0.25164387488621287, 0.2220656230347231, -0.17409299966675462, -0.11159033613512293, -0.04264321275695693, 0.1228745171247283, -0.04185899768708623, -0.3781630048470106, 0.09472308795011486, -0.003198950238584075, 0.02661612958763726, -0.05969978959672062, -0.2731832924328046, -0.02484602597542107, 0.09494728765275795, 0.06354558745078975, 0.1689534222095972, 0.05394513939972967, -0.11455194285372272, -0.08059014777245466, 0.3683756776736118, -0.01672235432488378, -0.13731633637507912, 0.09416046121623367, -0.2670255017874297, -0.1407598930381937, 0.22734104713890702, 0.07533216447336599, 0.06802842412980681, -0.03517525826464407, 0.13309344272056478, 0.05354850340700068, 0.2661278627747379, 0.09941877689561807, 0.003553975409886334, 0.057614358549471945, 0.1566089154803194, -0.03656039335328387, -0.0032389239931944758, -0.19770860072458163, 0.01906299902475439, -0.33147545997053385, -0.1275622258981457, -0.09421554394248233, 0.13019205833552405, -0.14175984543453524, 0.0006169200773911143, 0.30606932583395974, 0.01793771689699497, 0.2751653643063037, 0.08709881186587154, 0.21593257466884097, 0.11684741194039816, 0.014236170536605641, 0.1137261664844118, 0.2535258418356534, 0.16972456115763634, 0.13549098878866062, -0.2017650384659646, -0.08235315900674323, -0.009055242873728275] |
712.2198 | An Outer Planet Beyond Pluto and Origin of the Trans-Neptunian Belt
Architecture | Trans-Neptunian objects (TNOs) are remnants of a collisionally and
dynamically evolved planetesimal disk in the outer solar system. This complex
structure, known as the trans-Neptunian belt (or Edgeworth-Kuiper belt), can
reveal important clues about disk properties, planet formation, and other
evolutionary processes. In contrast to the predictions of accretion theory,
TNOs exhibit surprisingly large eccentricities, e, and inclinations, i, which
can be grouped into distinct dynamical classes. Several models have addressed
the origin and orbital evolution of TNOs, but none have reproduced detailed
observations, e.g., all dynamical classes and peculiar objects, or provided
insightful predictions. Based on extensive simulations of planetesimal disks
with the presence of the four giant planets and massive planetesimals, we
propose that the orbital history of an outer planet with tenths of Earth's mass
can explain the trans-Neptunian belt orbital structure. This massive body was
likely scattered by one of the giant planets, which then stirred the primordial
planetesimal disk to the levels observed at 40-50 AU and truncated it at about
48 AU before planet migration. The outer planet later acquired an inclined
stable orbit (>100 AU; 20-40 deg) because of a resonant interaction with
Neptune (an r:1 or r:2 resonance possibly coupled with the Kozai mechanism),
guaranteeing the stability of the trans-Neptunian belt. Our model consistently
reproduces the main features of each dynamical class with unprecedented detail;
it also satisfies other constraints such as the current small total mass of the
trans-Neptunian belt and Neptune's current orbit at 30.1 AU. We also provide
observationally testable predictions.
| astro-ph | transneptunian objects tnos are remnants of a collisionally and dynamically evolved planetesimal disk in the outer solar system this complex structure known as the transneptunian belt or edgeworthkuiper belt can reveal important clues about disk properties planet formation and other evolutionary processes in contrast to the predictions of accretion theory tnos exhibit surprisingly large eccentricities e and inclinations i which can be grouped into distinct dynamical classes several models have addressed the origin and orbital evolution of tnos but none have reproduced detailed observations eg all dynamical classes and peculiar objects or provided insightful predictions based on extensive simulations of planetesimal disks with the presence of the four giant planets and massive planetesimals we propose that the orbital history of an outer planet with tenths of earths mass can explain the transneptunian belt orbital structure this massive body was likely scattered by one of the giant planets which then stirred the primordial planetesimal disk to the levels observed at 4050 au and truncated it at about 48 au before planet migration the outer planet later acquired an inclined stable orbit 100 au 2040 deg because of a resonant interaction with neptune an r1 or r2 resonance possibly coupled with the kozai mechanism guaranteeing the stability of the transneptunian belt our model consistently reproduces the main features of each dynamical class with unprecedented detail it also satisfies other constraints such as the current small total mass of the transneptunian belt and neptunes current orbit at 301 au we also provide observationally testable predictions | [['transneptunian', 'objects', 'tnos', 'are', 'remnants', 'of', 'a', 'collisionally', 'and', 'dynamically', 'evolved', 'planetesimal', 'disk', 'in', 'the', 'outer', 'solar', 'system', 'this', 'complex', 'structure', 'known', 'as', 'the', 'transneptunian', 'belt', 'or', 'edgeworthkuiper', 'belt', 'can', 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712.2199 | Fluctuation induced quantum interactions between compact objects and a
plane mirror | The interaction of compact objects with an infinitely extended mirror plane
due to quantum fluctuations of a scalar or electromagnetic field that scatters
off the objects is studied. The mirror plane is assumed to obey either
Dirichlet or Neumann boundary conditions or to be perfectly reflecting. Using
the method of images, we generalize a recently developed approach for compact
objects in unbounded space [1,2] to show that the Casimir interaction between
the objects and the mirror plane can be accurately obtained over a wide range
of separations in terms of charge and current fluctuations of the objects and
their images. Our general result for the interaction depends only on the
scattering matrices of the compact objects. It applies to scalar fields with
arbitrary boundary conditions and to the electromagnetic field coupled to
dielectric objects. For the experimentally important electromagnetic Casimir
interaction between a perfectly conducting sphere and a plane mirror we present
the first results that apply at all separations. We obtain both an asymptotic
large distance expansion and the two lowest order correction terms to the
proximity force approximation. The asymptotic Casimir-Polder potential for an
atom and a mirror is generalized to describe the interaction between a
dielectric sphere and a mirror, involving higher order multipole
polarizabilities that are important at sub-asymptotic distances.
| cond-mat.stat-mech | the interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied the mirror plane is assumed to obey either dirichlet or neumann boundary conditions or to be perfectly reflecting using the method of images we generalize a recently developed approach for compact objects in unbounded space 12 to show that the casimir interaction between the objects and the mirror plane can be accurately obtained over a wide range of separations in terms of charge and current fluctuations of the objects and their images our general result for the interaction depends only on the scattering matrices of the compact objects it applies to scalar fields with arbitrary boundary conditions and to the electromagnetic field coupled to dielectric objects for the experimentally important electromagnetic casimir interaction between a perfectly conducting sphere and a plane mirror we present the first results that apply at all separations we obtain both an asymptotic large distance expansion and the two lowest order correction terms to the proximity force approximation the asymptotic casimirpolder potential for an atom and a mirror is generalized to describe the interaction between a dielectric sphere and a mirror involving higher order multipole polarizabilities that are important at subasymptotic distances | [['the', 'interaction', 'of', 'compact', 'objects', 'with', 'an', 'infinitely', 'extended', 'mirror', 'plane', 'due', 'to', 'quantum', 'fluctuations', 'of', 'a', 'scalar', 'or', 'electromagnetic', 'field', 'that', 'scatters', 'off', 'the', 'objects', 'is', 'studied', 'the', 'mirror', 'plane', 'is', 'assumed', 'to', 'obey', 'either', 'dirichlet', 'or', 'neumann', 'boundary', 'conditions', 'or', 'to', 'be', 'perfectly', 'reflecting', 'using', 'the', 'method', 'of', 'images', 'we', 'generalize', 'a', 'recently', 'developed', 'approach', 'for', 'compact', 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712.22 | Hadrons in Nuclei -- from High (200 GeV) to Low (1 GeV) energies | The study of the interaction of hadrons, produced by elementary probes in a
nucleus, with the surrounding nuclear medium can give insight into two
important questions. First, at high energies, the production process, the
time-scales connected with it and the prehadronic interactions can be studied
by using the nuclear radius as a length-scale. We do this here by analyzing
data from the EMC and HERMES experiements on nuclear attenuation. Second, at
low energies the spectral function, and thus the selfenergy of the produced
hadron, can be studied. Specifically, we analyze the CBELSA/TAPS data on
$\omega$ production in nuclei and discuss the importance of understanding
in-medium effects both on the primary production cross section and the final
state branching ratio. In both of these studies an excellent control of the
final state interactions is essential.
| nucl-th hep-ph | the study of the interaction of hadrons produced by elementary probes in a nucleus with the surrounding nuclear medium can give insight into two important questions first at high energies the production process the timescales connected with it and the prehadronic interactions can be studied by using the nuclear radius as a lengthscale we do this here by analyzing data from the emc and hermes experiements on nuclear attenuation second at low energies the spectral function and thus the selfenergy of the produced hadron can be studied specifically we analyze the cbelsataps data on omega production in nuclei and discuss the importance of understanding inmedium effects both on the primary production cross section and the final state branching ratio in both of these studies an excellent control of the final state interactions is essential | [['the', 'study', 'of', 'the', 'interaction', 'of', 'hadrons', 'produced', 'by', 'elementary', 'probes', 'in', 'a', 'nucleus', 'with', 'the', 'surrounding', 'nuclear', 'medium', 'can', 'give', 'insight', 'into', 'two', 'important', 'questions', 'first', 'at', 'high', 'energies', 'the', 'production', 'process', 'the', 'timescales', 'connected', 'with', 'it', 'and', 'the', 'prehadronic', 'interactions', 'can', 'be', 'studied', 'by', 'using', 'the', 'nuclear', 'radius', 'as', 'a', 'lengthscale', 'we', 'do', 'this', 'here', 'by', 'analyzing', 'data', 'from', 'the', 'emc', 'and', 'hermes', 'experiements', 'on', 'nuclear', 'attenuation', 'second', 'at', 'low', 'energies', 'the', 'spectral', 'function', 'and', 'thus', 'the', 'selfenergy', 'of', 'the', 'produced', 'hadron', 'can', 'be', 'studied', 'specifically', 'we', 'analyze', 'the', 'cbelsataps', 'data', 'on', 'omega', 'production', 'in', 'nuclei', 'and', 'discuss', 'the', 'importance', 'of', 'understanding', 'inmedium', 'effects', 'both', 'on', 'the', 'primary', 'production', 'cross', 'section', 'and', 'the', 'final', 'state', 'branching', 'ratio', 'in', 'both', 'of', 'these', 'studies', 'an', 'excellent', 'control', 'of', 'the', 'final', 'state', 'interactions', 'is', 'essential']] | [-0.06523050361620471, 0.19195337713543592, -0.11701277629281186, 0.12479105176725401, 0.008512262385269044, -0.04674494862834464, 0.004463522608127834, 0.35585682275496533, -0.22814079713938173, -0.29386705082190506, 0.04380160275891896, -0.31702878561788306, -0.017294768929054072, 0.15613146763600744, 0.07286498039863559, 0.019623746351797634, 0.07446017458256501, 0.03696377281752874, -0.018992758001576165, -0.17114471428534156, 0.3607353983245401, 0.11387440647561548, 0.2337619085733626, 0.17986371170182291, 0.06492977425605476, 0.06859986369720479, -0.04526382831399635, 0.0033114420861673, -0.12429306359350015, 0.10181273732667984, 0.24390738392674446, 0.0853196703776745, 0.19733878015888048, -0.4313047185206591, -0.15957417197042464, 0.09662262314874957, 0.15500769012524232, 0.08392445819535807, -0.08241007358805318, -0.28148422448603966, 0.04257478104528985, -0.17640182538368085, -0.1139982956315655, -0.06854161702847081, 0.0033457786984630485, 0.04836979957033338, -0.23243410540953166, 0.06340257034970642, 6.059067646986735e-05, 0.009679535718342817, -0.0890226774395499, -0.17807420564175985, -0.028298142279234172, 0.11984059194436492, 0.04824680619357925, 0.04673657723556537, 0.18230700314239556, -0.17861261643962795, -0.10915897530590449, 0.38998841895694053, -0.04332738103164332, -0.13453121285941175, 0.186478934869337, -0.2017383119586591, -0.12013380746391894, 0.1531784492266823, 0.2506669108531526, 0.09094860996015426, -0.18832006681112767, 0.050686585025144254, 0.014023028172503935, 0.17335142709015966, 0.030949674187481766, 0.06634821258693822, 0.1876261287903997, 0.22831344753225793, -0.04859955214943959, 0.10876252019340034, -0.10486518512584213, -0.06594048771458164, -0.3168796201987164, -0.11609641483936237, -0.12714298268165022, 0.0535056681916076, -0.06623342721633971, -0.054680723537093225, 0.3861990415824772, 0.08106658212604251, 0.266113207290651, -0.040621177967526574, 0.32579680982587944, 0.09460105546385245, 0.04641048929918168, 0.03596356128509254, 0.3108804184880886, 0.1671034476281936, 0.083768218258785, -0.27523479054342265, 0.09088844187390893, 0.019331721446490778] |
712.2201 | Noncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity,
and Hall Scalar Product | This paper introduces noncommutative analogs of monomial symmetric functions
and fundamental noncommutative symmetric functions. The expansion of ribbon
Schur functions in both of these basis is nonnegative. With these functions at
hand, one can derive a noncommutative Cauchy identity as well as study a
noncommutative scalar product implied by Cauchy identity. This scalar product
seems be the noncommutative analog of Hall scalar product in the commutative
theory.
| math.CO math.RA | this paper introduces noncommutative analogs of monomial symmetric functions and fundamental noncommutative symmetric functions the expansion of ribbon schur functions in both of these basis is nonnegative with these functions at hand one can derive a noncommutative cauchy identity as well as study a noncommutative scalar product implied by cauchy identity this scalar product seems be the noncommutative analog of hall scalar product in the commutative theory | [['this', 'paper', 'introduces', 'noncommutative', 'analogs', 'of', 'monomial', 'symmetric', 'functions', 'and', 'fundamental', 'noncommutative', 'symmetric', 'functions', 'the', 'expansion', 'of', 'ribbon', 'schur', 'functions', 'in', 'both', 'of', 'these', 'basis', 'is', 'nonnegative', 'with', 'these', 'functions', 'at', 'hand', 'one', 'can', 'derive', 'a', 'noncommutative', 'cauchy', 'identity', 'as', 'well', 'as', 'study', 'a', 'noncommutative', 'scalar', 'product', 'implied', 'by', 'cauchy', 'identity', 'this', 'scalar', 'product', 'seems', 'be', 'the', 'noncommutative', 'analog', 'of', 'hall', 'scalar', 'product', 'in', 'the', 'commutative', 'theory']] | [-0.134058438456937, 0.12085597335235841, -0.08113440295069743, 0.11148961786868801, -0.0916782059887452, -0.169629517984368, -0.12345792093911945, 0.2677407115385103, -0.3388732025476256, -0.17288042468699946, 0.13917517045915906, -0.2132120473838564, -0.21571828278282018, 0.1360071389240894, -0.0780813585577616, 0.025953910105041604, -0.03691092348977256, 0.05804939245554938, -0.20527513354405094, -0.22049798001882745, 0.45066380532069217, 0.02237574005527283, 0.19736003872257338, 0.053640738251243734, 0.06644652150710349, 0.058766412562621176, -0.09610710679483947, -0.02495594214258799, -0.1144679933369382, 0.11809960988683821, 0.2731425748067672, 0.09010616072745466, 0.21906658200852908, -0.3789388198516707, -0.09024472278890325, 0.1659555918356376, 0.14526708115503859, -0.007347511607152757, -0.02736775653520182, -0.2669564142976123, 0.024696934996033783, -0.27472961905287274, -0.18578302624649298, -0.07441559774495328, 0.012054747498747128, 0.01485340282974292, -0.2854330546375531, 0.08493188928479134, 0.05527458662591152, 0.04679045280608446, -0.0853089500885846, -0.11048245381341497, 0.007901253974509996, 0.026690657097679465, 0.02823905525520555, 0.04125638527503765, 0.1072336709988651, -0.06635297606212658, -0.16911959975311505, 0.35277798528602317, -0.0744737730597827, -0.299579733148662, 0.07322493302566346, -0.2346475486671413, -0.14067558573086314, 0.028515050243308294, 0.09784865868625356, 0.17412179712650935, -0.07782493940373855, 0.2274938300660283, -0.15979023326410732, 0.057177963329534696, 0.14925337532785402, 0.08208376105263163, 0.24060828917062105, -0.03176091395930123, 0.04126840853479816, 0.22625267342838057, 0.08889895160560872, -0.1460971012711525, -0.38245322277296834, -0.2201507527228278, -0.15143918255761044, 0.2092156443300087, -0.19541835069718055, -0.26428024647340403, 0.4055373799333821, 0.029631806461057113, 0.11399267691729674, 0.053049340649549644, 0.2684754346577284, 0.1926745614836187, 0.09108901610458965, -0.01058557371734016, 0.1313835106261853, 0.26836670607453517, 0.08401367098871451, -0.09925968512378411, -0.008567345252177163, 0.22084422789013652] |
712.2202 | Wrinkled fibrations on near-symplectic manifolds | Motivated by the programmes initiated by Taubes and Perutz, we study the
geometry of near-symplectic 4-manifolds, i.e., manifolds equipped with a closed
2-form which is symplectic outside a union of embedded 1-dimensional
submanifolds, and broken Lefschetz fibrations on them. We present a set of four
moves which allow us to pass from any given fibration to any other broken
fibration which is deformation equivalent to it. Moreover, we study the change
of the near-symplectic geometry under each of these moves. The arguments rely
on the introduction of a more general class of maps, which we call wrinkled
fibrations and which allow us to rely on classical singularity theory.Finally,
we illustrate these constructions by showing how one can merge components of
the zero-set of the near-symplectic form. We also disprove a conjecture of Gay
and Kirby by showing that any achiral broken Lefschetz fibration can be turned
into a broken Lefschetz fibration by applying a sequence of our moves.
| math.GT math.SG | motivated by the programmes initiated by taubes and perutz we study the geometry of nearsymplectic 4manifolds ie manifolds equipped with a closed 2form which is symplectic outside a union of embedded 1dimensional submanifolds and broken lefschetz fibrations on them we present a set of four moves which allow us to pass from any given fibration to any other broken fibration which is deformation equivalent to it moreover we study the change of the nearsymplectic geometry under each of these moves the arguments rely on the introduction of a more general class of maps which we call wrinkled fibrations and which allow us to rely on classical singularity theoryfinally we illustrate these constructions by showing how one can merge components of the zeroset of the nearsymplectic form we also disprove a conjecture of gay and kirby by showing that any achiral broken lefschetz fibration can be turned into a broken lefschetz fibration by applying a sequence of our moves | [['motivated', 'by', 'the', 'programmes', 'initiated', 'by', 'taubes', 'and', 'perutz', 'we', 'study', 'the', 'geometry', 'of', 'nearsymplectic', '4manifolds', 'ie', 'manifolds', 'equipped', 'with', 'a', 'closed', '2form', 'which', 'is', 'symplectic', 'outside', 'a', 'union', 'of', 'embedded', '1dimensional', 'submanifolds', 'and', 'broken', 'lefschetz', 'fibrations', 'on', 'them', 'we', 'present', 'a', 'set', 'of', 'four', 'moves', 'which', 'allow', 'us', 'to', 'pass', 'from', 'any', 'given', 'fibration', 'to', 'any', 'other', 'broken', 'fibration', 'which', 'is', 'deformation', 'equivalent', 'to', 'it', 'moreover', 'we', 'study', 'the', 'change', 'of', 'the', 'nearsymplectic', 'geometry', 'under', 'each', 'of', 'these', 'moves', 'the', 'arguments', 'rely', 'on', 'the', 'introduction', 'of', 'a', 'more', 'general', 'class', 'of', 'maps', 'which', 'we', 'call', 'wrinkled', 'fibrations', 'and', 'which', 'allow', 'us', 'to', 'rely', 'on', 'classical', 'singularity', 'theoryfinally', 'we', 'illustrate', 'these', 'constructions', 'by', 'showing', 'how', 'one', 'can', 'merge', 'components', 'of', 'the', 'zeroset', 'of', 'the', 'nearsymplectic', 'form', 'we', 'also', 'disprove', 'a', 'conjecture', 'of', 'gay', 'and', 'kirby', 'by', 'showing', 'that', 'any', 'achiral', 'broken', 'lefschetz', 'fibration', 'can', 'be', 'turned', 'into', 'a', 'broken', 'lefschetz', 'fibration', 'by', 'applying', 'a', 'sequence', 'of', 'our', 'moves']] | [-0.17846593509537945, 0.06096708140288521, -0.14339211590255901, 0.08368406710096273, -0.13422626444393662, -0.1968586002179914, 0.0431160357533094, 0.33625032322089765, -0.2765956045941088, -0.2643366185977913, 0.1108039232841426, -0.23497388934402186, -0.15867984526980503, 0.169852641176812, -0.16466252142074073, -0.03170851913242227, 0.05693953162634591, 0.012949536943060768, -0.08933622615503083, -0.27148331647551954, 0.43667583855663894, -0.049591610507719264, 0.19799032119684112, 0.07599675570648745, 0.12503275204936315, 0.015283288899809122, 0.010028374680928933, 0.05513777919180371, -0.15734816764824866, 0.15098976269127076, 0.21316760508410312, 0.08622297537246137, 0.15608386183537581, -0.44726127701675056, -0.16765274885881715, 0.16071670870207677, 0.12934166833663444, 0.03776461433450199, -0.0036489820419432547, -0.3107659458716631, 0.08221976233610681, -0.12888614451853783, -0.1722407265251894, -0.10962060734831319, -0.026565007734925126, 0.02977283243801753, -0.17360309075718378, -0.06925440443383832, 0.13456803615721072, 0.07288132886147233, -0.021907111852849496, -0.0010625725948684819, -0.09793801750145426, 0.10392844625066515, 0.049842598263743765, 0.05995036758019761, 0.1270937107556802, -0.06803570450936106, -0.12097013043536312, 0.36945233079990386, -0.038796985495218615, -0.22717577856105226, 0.13619622332340545, -0.0902901223955593, -0.20916674562706167, 0.1835826446893951, 0.06980436356073827, 0.16347207134933608, -0.05002808873393354, 0.1462102370280298, -0.08939930780013655, 0.11454394586112908, 0.14114355958499916, -0.07258072891532129, 0.19742106862223832, 0.09779662437289123, 0.0977821102002795, 0.15568857691006047, -0.022555499450506784, -0.07293373152945831, -0.3503860406025912, -0.19338879723006944, -0.09747428205279503, 0.1871512846466581, -0.060986781249246946, -0.15966711617757084, 0.40858713582982636, 0.052531615120231225, 0.22462632561066917, 0.09265776228376184, 0.24172641471574072, 0.029728884521110287, 0.09716737082644787, 0.06571568800344067, 0.17177673124346385, 0.1669735829805611, -0.0039319083729319896, -0.0857627024313518, -0.044769317713257664, 0.17634972473191227] |
712.2203 | The influence of coronal EUV irradiance on the emission in the He I
10830 A and D3 multiplets | Two of the most attractive spectral windows for spectropolarimetric
investigations of the physical properties of the plasma structures in the solar
chromosphere and corona are the ones provided by the spectral lines of the He I
10830 A and 5876 A (or D3) multiplets, whose polarization signals are sensitive
to the Hanle and Zeeman effects. However, in order to be able to carry out
reliable diagnostics, it is crucial to have a good physical understanding of
the sensitivity of the observed spectral line radiation to the various
competing driving mechanisms. Here we report a series of off-the-limb non-LTE
calculations of the He I D3 and 10830 A emission profiles, focusing our
investigation on their sensitivity to the EUV coronal irradiation and the model
atmosphere used in the calculations. We show in particular that the intensity
ratio of the blue to the red components in the emission profiles of the He I
10830 A multiplet turns out to be a good candidate as a diagnostic tool for the
coronal irradiance. Measurements of this observable as a function of the
distance to the limb and its confrontation with radiative transfer modeling
might give us valuable information on the physical properties of the solar
atmosphere and on the amount of EUV radiation at relevant wavelengths
penetrating the chromosphere from above.
| astro-ph | two of the most attractive spectral windows for spectropolarimetric investigations of the physical properties of the plasma structures in the solar chromosphere and corona are the ones provided by the spectral lines of the he i 10830 a and 5876 a or d3 multiplets whose polarization signals are sensitive to the hanle and zeeman effects however in order to be able to carry out reliable diagnostics it is crucial to have a good physical understanding of the sensitivity of the observed spectral line radiation to the various competing driving mechanisms here we report a series of offthelimb nonlte calculations of the he i d3 and 10830 a emission profiles focusing our investigation on their sensitivity to the euv coronal irradiation and the model atmosphere used in the calculations we show in particular that the intensity ratio of the blue to the red components in the emission profiles of the he i 10830 a multiplet turns out to be a good candidate as a diagnostic tool for the coronal irradiance measurements of this observable as a function of the distance to the limb and its confrontation with radiative transfer modeling might give us valuable information on the physical properties of the solar atmosphere and on the amount of euv radiation at relevant wavelengths penetrating the chromosphere from above | [['two', 'of', 'the', 'most', 'attractive', 'spectral', 'windows', 'for', 'spectropolarimetric', 'investigations', 'of', 'the', 'physical', 'properties', 'of', 'the', 'plasma', 'structures', 'in', 'the', 'solar', 'chromosphere', 'and', 'corona', 'are', 'the', 'ones', 'provided', 'by', 'the', 'spectral', 'lines', 'of', 'the', 'he', 'i', '10830', 'a', 'and', '5876', 'a', 'or', 'd3', 'multiplets', 'whose', 'polarization', 'signals', 'are', 'sensitive', 'to', 'the', 'hanle', 'and', 'zeeman', 'effects', 'however', 'in', 'order', 'to', 'be', 'able', 'to', 'carry', 'out', 'reliable', 'diagnostics', 'it', 'is', 'crucial', 'to', 'have', 'a', 'good', 'physical', 'understanding', 'of', 'the', 'sensitivity', 'of', 'the', 'observed', 'spectral', 'line', 'radiation', 'to', 'the', 'various', 'competing', 'driving', 'mechanisms', 'here', 'we', 'report', 'a', 'series', 'of', 'offthelimb', 'nonlte', 'calculations', 'of', 'the', 'he', 'i', 'd3', 'and', '10830', 'a', 'emission', 'profiles', 'focusing', 'our', 'investigation', 'on', 'their', 'sensitivity', 'to', 'the', 'euv', 'coronal', 'irradiation', 'and', 'the', 'model', 'atmosphere', 'used', 'in', 'the', 'calculations', 'we', 'show', 'in', 'particular', 'that', 'the', 'intensity', 'ratio', 'of', 'the', 'blue', 'to', 'the', 'red', 'components', 'in', 'the', 'emission', 'profiles', 'of', 'the', 'he', 'i', '10830', 'a', 'multiplet', 'turns', 'out', 'to', 'be', 'a', 'good', 'candidate', 'as', 'a', 'diagnostic', 'tool', 'for', 'the', 'coronal', 'irradiance', 'measurements', 'of', 'this', 'observable', 'as', 'a', 'function', 'of', 'the', 'distance', 'to', 'the', 'limb', 'and', 'its', 'confrontation', 'with', 'radiative', 'transfer', 'modeling', 'might', 'give', 'us', 'valuable', 'information', 'on', 'the', 'physical', 'properties', 'of', 'the', 'solar', 'atmosphere', 'and', 'on', 'the', 'amount', 'of', 'euv', 'radiation', 'at', 'relevant', 'wavelengths', 'penetrating', 'the', 'chromosphere', 'from', 'above']] | [-0.03815545061715292, 0.11574659518750936, -0.04371731195823048, 0.10911729524593318, -0.06551942141743859, -0.09792624349723121, 0.03252004636333031, 0.42793935169120906, -0.1863607005889881, -0.3303602812337448, 0.08312489817951617, -0.28713362607932474, -0.07550491354885269, 0.19180779192161193, 0.011922560595579583, 0.005183798893995117, 0.054294313516476435, -0.03222321128231232, -0.01405934218416439, -0.16756032221450437, 0.303674088144261, 0.12429334195675673, 0.21158653061246258, 0.07960888431235044, 0.016845297656901594, -0.09124389156069676, -0.05167741334729793, 0.0010514048906905508, -0.11646522891192877, 0.1049595631523651, 0.2173974333434469, 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712.2204 | Real and integral structures in quantum cohomology I: toric orbifolds | We study real and integral structures in the space of solutions to the
quantum differential equations. First we show that, under mild conditions, any
real structure in orbifold quantum cohomology yields a pure and polarized
tt^*-geometry near the large radius limit. Secondly, we use mirror symmetry to
calculate the "most natural" integral structure in quantum cohomology of toric
orbifolds. We show that the integral structure pulled back from the singularity
B-model is described only in terms of topological data in the A-model; K-group
and a characteristic class. Using integral structures, we give a natural
explanation why the quantum parameter should specialize to a root of unity in
Ruan's crepant resolution conjecture.
| math.AG math.SG | we study real and integral structures in the space of solutions to the quantum differential equations first we show that under mild conditions any real structure in orbifold quantum cohomology yields a pure and polarized ttgeometry near the large radius limit secondly we use mirror symmetry to calculate the most natural integral structure in quantum cohomology of toric orbifolds we show that the integral structure pulled back from the singularity bmodel is described only in terms of topological data in the amodel kgroup and a characteristic class using integral structures we give a natural explanation why the quantum parameter should specialize to a root of unity in ruans crepant resolution conjecture | [['we', 'study', 'real', 'and', 'integral', 'structures', 'in', 'the', 'space', 'of', 'solutions', 'to', 'the', 'quantum', 'differential', 'equations', 'first', 'we', 'show', 'that', 'under', 'mild', 'conditions', 'any', 'real', 'structure', 'in', 'orbifold', 'quantum', 'cohomology', 'yields', 'a', 'pure', 'and', 'polarized', 'ttgeometry', 'near', 'the', 'large', 'radius', 'limit', 'secondly', 'we', 'use', 'mirror', 'symmetry', 'to', 'calculate', 'the', 'most', 'natural', 'integral', 'structure', 'in', 'quantum', 'cohomology', 'of', 'toric', 'orbifolds', 'we', 'show', 'that', 'the', 'integral', 'structure', 'pulled', 'back', 'from', 'the', 'singularity', 'bmodel', 'is', 'described', 'only', 'in', 'terms', 'of', 'topological', 'data', 'in', 'the', 'amodel', 'kgroup', 'and', 'a', 'characteristic', 'class', 'using', 'integral', 'structures', 'we', 'give', 'a', 'natural', 'explanation', 'why', 'the', 'quantum', 'parameter', 'should', 'specialize', 'to', 'a', 'root', 'of', 'unity', 'in', 'ruans', 'crepant', 'resolution', 'conjecture']] | [-0.1880835603570213, 0.040469064452760925, -0.14885444646315263, 0.12352249466474294, -0.11225380835559655, -0.1271053958885573, -0.033479467957272184, 0.32835611746319243, -0.3166598472041539, -0.2172850496764924, 0.08448632738997673, -0.23043018848601696, -0.20277208024384202, 0.1776887558459363, -0.11645058394401325, 0.005698196997924766, 0.04760641479646569, 0.05478285182569478, -0.12021406659822878, -0.2748163446767239, 0.3967665538594529, 0.00363894443967388, 0.2501314659057571, 0.06284705928038084, 0.1271866488916514, -0.0034234934058543797, 0.03831299823113121, 0.006965133654916458, -0.18313119426300972, 0.09846082314962169, 0.2948119214647827, 0.044224206014192316, 0.12236243810899018, -0.43720535982635106, -0.14776274097479275, 0.11552176898269839, 0.10468123321681544, 0.09956444595176894, -0.028781490473455313, -0.2711104943274378, 0.11847783708609305, -0.1312860332026675, -0.2050549252848099, -0.09559413193313925, 0.00043644521570017743, -0.030015400581498135, -0.190603416945328, 0.01583041420189647, 0.03201154751182945, 0.10022857784385886, -0.07327125165905166, -0.0571538997092494, -0.029643301321361382, 0.06429553446401884, -0.02081387754433226, 0.00817508813253864, 0.09880267498649757, -0.17151907921206574, -0.13464752654335252, 0.37890579251085854, -0.10175539092957839, -0.21616755643238625, 0.10134217272269296, -0.20932882096039485, -0.1759859420367525, 0.13541193860205444, 0.07099477252461486, 0.16093525195678882, -0.016702383451965043, 0.17840182245767996, -0.07408683019090309, 0.1210726123672348, 0.09514835250337382, 0.010986357054731867, 0.17799569235963597, 0.08123014531274503, 0.07136513995057023, 0.15730076811595206, -0.06340527987980225, -0.14052492914184392, -0.3845402913520465, -0.22988134853306924, -0.14654826728400547, 0.19122870099890205, -0.0924640044331108, -0.15465888394428803, 0.36467827059043284, 0.10161117481504071, 0.22576605074678188, 0.06449023564555892, 0.23743353250461655, 0.10505760465287142, 0.06797259400791682, 0.026785836412428734, 0.14458038652030467, 0.18433991478554704, 0.03975136309593647, -0.19865197944035334, -0.053181842095344455, 0.1600493024321491] |
712.2205 | PT-invariance and representations of the Temperley-Lieb algebra on the
unit circle | We present in detail a recent conjecture on self-adjoint representations of
the Temperley-Lieb algebra for particular values on the unit circle. The
formulation in terms of graphical calculus is emphasized and discussed for
several examples. The role of PT (parity and time reversal) invariance is
highlighted as it might prove important for generalising the construction to
other cases.
| math-ph math.MP math.QA nlin.SI | we present in detail a recent conjecture on selfadjoint representations of the temperleylieb algebra for particular values on the unit circle the formulation in terms of graphical calculus is emphasized and discussed for several examples the role of pt parity and time reversal invariance is highlighted as it might prove important for generalising the construction to other cases | [['we', 'present', 'in', 'detail', 'a', 'recent', 'conjecture', 'on', 'selfadjoint', 'representations', 'of', 'the', 'temperleylieb', 'algebra', 'for', 'particular', 'values', 'on', 'the', 'unit', 'circle', 'the', 'formulation', 'in', 'terms', 'of', 'graphical', 'calculus', 'is', 'emphasized', 'and', 'discussed', 'for', 'several', 'examples', 'the', 'role', 'of', 'pt', 'parity', 'and', 'time', 'reversal', 'invariance', 'is', 'highlighted', 'as', 'it', 'might', 'prove', 'important', 'for', 'generalising', 'the', 'construction', 'to', 'other', 'cases']] | [-0.12549196623651118, 0.06486958825703838, -0.021016605395085083, 0.08533970856284402, -0.07849111082032323, -0.1287857075302123, -0.046701183771425535, 0.36739307063920745, -0.25625273921719655, -0.25963659417526475, 0.1472290471750151, -0.23513813276277407, -0.17829514120641196, 0.216966412287077, -0.11439467229527132, 0.04734143297461962, 0.05012605992619526, 0.08735495821797643, -0.10090238816939809, -0.23385469741509135, 0.34316814822498065, 0.05938697847184436, 0.2314962707901502, 0.11270345833377335, 0.09209644812127125, 0.05690748996004976, -0.05899779700898919, -0.031653360573853144, -0.11368281227247469, 0.10354298757838792, 0.26139711675330485, 0.06783916596082393, 0.21985859010802133, -0.4128121364990185, -0.20031052667914553, 0.10690823064089336, 0.14720449900126148, 0.07661041904818909, -0.0802604229719346, -0.2830878930359051, 0.047938306253917255, -0.1474466454879991, -0.15107384497492476, -0.12215548474140915, 0.09713543002124361, -0.06430293056423422, -0.23181614033267672, 0.029773480034080046, 0.13059968470017716, 0.10097463761359968, -0.05888509245364573, -0.15106597435178942, -0.02067441559107653, 0.06853699844515208, 0.057382370433609546, 0.0020741488832723477, 0.08328625001816144, -0.0749269518519527, -0.16736762895216717, 0.3843186851269726, 0.0071898721286962775, -0.2522418160826482, 0.13619218130820784, -0.13487916680630938, -0.24778842967774334, -0.01750268563146478, 0.08845050372825615, 0.1280305554512246, -0.05009322436847564, 0.15845019936136068, -0.1029231524865689, 0.05480064597615073, 0.09786572100209265, 0.06504124494927839, 0.1488901369980183, 0.12549316734958696, 0.03939844816792676, 0.16969225425694684, 0.0002210827239243121, -0.16441492742762484, -0.38192104535370036, -0.2037538654248206, -0.12589592633945546, 0.01322995251494235, -0.08750898706483863, -0.1348634553302465, 0.42013699497128354, 0.14348193177760676, 0.17120528937285318, 0.08348942302360103, 0.21940488580228953, 0.13937010732278676, 0.0919857955345049, 0.003985968679350255, 0.16809264684481354, 0.20901925514998107, 0.11143819543890301, -0.18016842478115497, 0.04693209127209888, 0.16630862933856533] |
712.2206 | Optical properties of the charge-density-wave polychalcogenide compounds
$R_2$Te$_5$ ($R$=Nd, Sm and Gd) | We investigate the rare-earth polychalcogenide $R_2$Te$_5$ ($R$=Nd, Sm and
Gd) charge-density-wave (CDW) compounds by optical methods. From the absorption
spectrum we extract the excitation energy of the CDW gap and estimate the
fraction of the Fermi surface which is gapped by the formation of the CDW
condensate. In analogy to previous findings on the related $R$Te$_n$ (n=2 and
3) families, we establish the progressive closing of the CDW gap and the
moderate enhancement of the metallic component upon chemically compressing the
lattice.
| cond-mat.str-el cond-mat.mtrl-sci | we investigate the rareearth polychalcogenide r_2te_5 rnd sm and gd chargedensitywave cdw compounds by optical methods from the absorption spectrum we extract the excitation energy of the cdw gap and estimate the fraction of the fermi surface which is gapped by the formation of the cdw condensate in analogy to previous findings on the related rte_n n2 and 3 families we establish the progressive closing of the cdw gap and the moderate enhancement of the metallic component upon chemically compressing the lattice | [['we', 'investigate', 'the', 'rareearth', 'polychalcogenide', 'r_2te_5', 'rnd', 'sm', 'and', 'gd', 'chargedensitywave', 'cdw', 'compounds', 'by', 'optical', 'methods', 'from', 'the', 'absorption', 'spectrum', 'we', 'extract', 'the', 'excitation', 'energy', 'of', 'the', 'cdw', 'gap', 'and', 'estimate', 'the', 'fraction', 'of', 'the', 'fermi', 'surface', 'which', 'is', 'gapped', 'by', 'the', 'formation', 'of', 'the', 'cdw', 'condensate', 'in', 'analogy', 'to', 'previous', 'findings', 'on', 'the', 'related', 'rte_n', 'n2', 'and', '3', 'families', 'we', 'establish', 'the', 'progressive', 'closing', 'of', 'the', 'cdw', 'gap', 'and', 'the', 'moderate', 'enhancement', 'of', 'the', 'metallic', 'component', 'upon', 'chemically', 'compressing', 'the', 'lattice']] | [-0.16940752289529087, 0.218278651137518, -0.02517909650348976, 0.03413488485561566, -0.014571207065630374, -0.07891845595846071, 0.14090703249779307, 0.36255430998398536, -0.2724972976065135, -0.25446560903440546, 0.00939449615912111, -0.3745867554569923, -0.12339135988311889, 0.09769197552217336, 0.061689245602988364, 0.01377495789807953, -0.07339668659127871, -0.04056006431862523, -0.1406074482947588, -0.23194518256225163, 0.34990023689556726, 2.4799617078108122e-05, 0.31466699985763696, 0.09579031655706371, -0.01954920328799871, -0.0023994373505392785, 0.052177999840601334, -0.0634036334113607, -0.21027628068305268, 0.1297613721977495, 0.2529940064760703, -0.06695252156498123, 0.17995714273044391, -0.4175043242417653, -0.2453224682779629, -0.0011806136492309692, 0.12674956004978216, 0.13336972641917771, -0.04723289109843111, -0.2678400890995996, 0.06578642764729978, -0.1607502873256048, -0.11191693021432508, -0.0657355330731201, -0.04149118381776387, 0.01083734581509275, -0.19791867919973558, 0.13841660112684853, 0.09951436565599486, 0.07710888776434527, -0.15975146703539958, -0.11623322899465131, -0.07919983681338498, 0.01655760158702165, 0.07795177121599546, 0.0790556577989195, 0.13080229830657003, -0.1281943008232909, -0.07327914578675092, 0.36311005560469023, -0.08523694687534737, -0.022440765642478495, 0.17042597916118707, -0.20572502828568598, -0.045790924566696235, 0.2109227538863315, 0.09013096685226582, 0.06150989803998389, -0.05965193589748461, 0.058880571107957747, -0.029408813573573302, 0.20816565051680738, 0.055759692765017854, 0.07684971711633704, 0.2469839445680757, 0.1971287527062659, 0.05426880698415298, 0.1335617532081242, -0.13939346478591802, -0.02595493548160678, -0.21989603635348096, -0.17552999816127593, -0.23112990952368023, 0.004236129619464089, -0.05788523142588549, -0.16415443860253767, 0.43889123597477053, 0.13422473994543468, 0.20716019481703452, -0.050556455312968714, 0.20934447998628963, 0.09935805187825868, 0.06075855710579059, 0.04570840812535792, 0.27027507706344883, 0.14799142726166528, 0.09907354400758454, -0.3266258333968824, 0.056551413111760034, 0.056403081280568354] |
712.2207 | Chern classes in Deligne cohomology for coherent analytic sheaves | In this article, we construct Chern classes in rational Deligne cohomology
for coherent sheaves on a smooth complex compact manifold. We prove that these
classes verify the functoriality property under pullbacks, the Whitney formula
and the Grothendieck-Riemann-Roch theorem for projective morphisms between
smooth complex compact manifolds.
| math.AG | in this article we construct chern classes in rational deligne cohomology for coherent sheaves on a smooth complex compact manifold we prove that these classes verify the functoriality property under pullbacks the whitney formula and the grothendieckriemannroch theorem for projective morphisms between smooth complex compact manifolds | [['in', 'this', 'article', 'we', 'construct', 'chern', 'classes', 'in', 'rational', 'deligne', 'cohomology', 'for', 'coherent', 'sheaves', 'on', 'a', 'smooth', 'complex', 'compact', 'manifold', 'we', 'prove', 'that', 'these', 'classes', 'verify', 'the', 'functoriality', 'property', 'under', 'pullbacks', 'the', 'whitney', 'formula', 'and', 'the', 'grothendieckriemannroch', 'theorem', 'for', 'projective', 'morphisms', 'between', 'smooth', 'complex', 'compact', 'manifolds']] | [-0.24796217123208486, -0.005951870192328225, -0.12437150378853244, 0.18290755386292207, -0.13233433769125005, -0.17042968447482132, -0.04763257104660506, 0.37054519028195343, -0.3786369980434361, -0.1329081300241144, 0.03884892509339134, -0.12869407408668296, -0.20006550236038215, 0.2633883670053404, -0.2742693308720608, -0.019103681466177753, 0.06242622640591277, 0.010502192070302755, -0.12270204398436876, -0.2850464721736701, 0.606663821346086, -0.17286319081145135, 0.25774582175780897, 0.11613656318640216, 0.1411412341378467, 0.001900693492801941, 0.02433946198257415, -0.07946243040952021, -0.16161159351648405, 0.1667897628377313, 0.43344616566015326, 0.01010487423501099, 0.12373291186826385, -0.39649834597240324, -0.1000865449845467, 0.2803354395715439, 0.008683077958741469, -0.025819516315570345, 0.02097719039960319, -0.344504046395583, 0.13948844678942923, -0.13815834094851237, -0.22104899200570324, -0.1933000163661073, 0.06908447710473252, 0.05569489992669095, -0.18275915513462995, -0.0845204922573074, 0.14272115294538115, 0.20848787968735333, -0.12591908023814144, 0.014525370955791162, -0.0966090100625044, 0.03140239157390012, -0.03666875843444596, 0.039077081363243255, 0.10264749015155046, -0.05211125668037035, -0.12490889759298981, 0.2868463254493216, -0.06285156014010958, -0.2824335373411684, 0.11390139805355473, -0.13301278687203708, -0.2655474506318569, 0.1325668748063238, 0.04077947378644477, 0.271786590066293, 0.07837686357695771, 0.18256982047308196, -0.17571514498685364, 0.02014712150633821, 0.15976986797202541, 0.021795260507370465, 0.10814357419376788, 0.02857833541929722, 0.09053636844391408, 0.12723148842949583, 0.026849032455609868, -0.06965892162659894, -0.39725692689661746, -0.28688952112165483, -0.06729197008130343, 0.24925986466848332, -0.13309321041268288, -0.1758697564187257, 0.4105596074267574, -0.010893555793344327, 0.16700124173708583, 0.2681313390722093, 0.26794442024243914, -0.024931211621783998, -0.007191146703679924, 0.026999752199196297, 0.1256692790142868, 0.2880549813499269, -0.034803550822012454, -0.01884371671906632, -0.07233386411857994, 0.2967871670084803] |
712.2208 | On the dynamical breaking of chiral symmetry: a new mechanism | We consider a U(1) gauge theory, minimally coupled to a massless Dirac field,
where a higher-derivative term is added to the pure gauge sector, as in the
Lee-Wick models. We find that this term can trigger chiral symmetry breaking at
low energy in the weak coupling regime. Then, the fermion field acquires a mass
that turns out to be a function of both the energy scale associated to the
higher-derivative term and the gauge coupling. The dependence of the fermion
mass on the gauge coupling is non-perturbative. Extensions to SU(N) gauge
theories and fermion-scalar interactions are also analyzed, as well as to
theories with massive gauge fields. A few implications of these results in the
framework of quark-mass generation are discussed.
| hep-ph hep-th | we consider a u1 gauge theory minimally coupled to a massless dirac field where a higherderivative term is added to the pure gauge sector as in the leewick models we find that this term can trigger chiral symmetry breaking at low energy in the weak coupling regime then the fermion field acquires a mass that turns out to be a function of both the energy scale associated to the higherderivative term and the gauge coupling the dependence of the fermion mass on the gauge coupling is nonperturbative extensions to sun gauge theories and fermionscalar interactions are also analyzed as well as to theories with massive gauge fields a few implications of these results in the framework of quarkmass generation are discussed | [['we', 'consider', 'a', 'u1', 'gauge', 'theory', 'minimally', 'coupled', 'to', 'a', 'massless', 'dirac', 'field', 'where', 'a', 'higherderivative', 'term', 'is', 'added', 'to', 'the', 'pure', 'gauge', 'sector', 'as', 'in', 'the', 'leewick', 'models', 'we', 'find', 'that', 'this', 'term', 'can', 'trigger', 'chiral', 'symmetry', 'breaking', 'at', 'low', 'energy', 'in', 'the', 'weak', 'coupling', 'regime', 'then', 'the', 'fermion', 'field', 'acquires', 'a', 'mass', 'that', 'turns', 'out', 'to', 'be', 'a', 'function', 'of', 'both', 'the', 'energy', 'scale', 'associated', 'to', 'the', 'higherderivative', 'term', 'and', 'the', 'gauge', 'coupling', 'the', 'dependence', 'of', 'the', 'fermion', 'mass', 'on', 'the', 'gauge', 'coupling', 'is', 'nonperturbative', 'extensions', 'to', 'sun', 'gauge', 'theories', 'and', 'fermionscalar', 'interactions', 'are', 'also', 'analyzed', 'as', 'well', 'as', 'to', 'theories', 'with', 'massive', 'gauge', 'fields', 'a', 'few', 'implications', 'of', 'these', 'results', 'in', 'the', 'framework', 'of', 'quarkmass', 'generation', 'are', 'discussed']] | [-0.17716206228052658, 0.26559872634724274, -0.04735301835820837, 0.1255921913428263, -0.10800562230754675, -0.14627515318541795, -0.01582494634107402, 0.3159819854546554, -0.1877775594345794, -0.3030944077898402, 0.04690591407620371, -0.2744669403557566, -0.12942511478654486, 0.07059611453220618, 0.026903052883576757, -0.004610126263708307, -0.03541639756241983, 0.09184074162482476, -0.07816994014342339, -0.24543670932223544, 0.33250046318612436, 0.03767664682828198, 0.23058132972752998, 0.12614833684022392, 0.10350508435652399, -0.01794586597060523, 0.04059283229645557, -0.0025948488638420737, -0.06422330393739265, 0.017338256967400222, 0.17050312203682852, -0.016004607015989783, 0.1880973582117518, -0.39102925794306864, -0.2365233572122972, 0.07232183309980045, 0.1404853641201765, 0.1520631269913567, -0.07260318749780528, -0.29880835393766975, 0.045945686386313196, -0.21182662875907235, -0.14912031927003624, -0.10274276223941899, -0.06575786950901798, -0.09951833447764728, -0.33088741756298323, 0.0943917473179215, -0.033104078230363404, 0.017098244456651288, -0.038082306673519375, -0.059697033433351386, -0.10809719318731818, 0.044104609084277116, 0.20068270095704846, 0.07558384934278621, 0.1247921170833259, -0.2530849492966297, -0.10576178813891962, 0.4445161740180136, -0.14790486310385476, -0.24424009032024085, 0.18463941383529608, -0.11362261642088098, -0.16672732388554526, 0.0631563611836596, 0.15458377423957914, 0.11637842739847573, -0.15828836928622042, 0.2060410777919383, -0.031040456723267874, 0.14462208123550527, 0.026851074400642688, 0.08599613491861412, 0.27442896352265, 0.1023317062573061, 0.03225968473336913, 0.10418882553200122, -0.01502028857174999, -0.1523565659703579, -0.40458773723072256, -0.11572167158924421, -0.11589118903541307, 0.0760256446578563, -0.09125682009236834, -0.14707644833328803, 0.41230267260900955, 0.18007261392637347, 0.14839624472670565, 0.046794477650079845, 0.21136839060528465, 0.15444757438876688, 0.16176146334460514, -0.005162150735682077, 0.2903228772665597, 0.19477000864307312, 0.07563272740861232, -0.2733415395121498, -0.1573219714909484, 0.11024192348315019] |
712.2209 | Central Compact Objects in Supernova Remnants | Central Compact Objects (CCOs) are a handful of soft X-ray sources located
close to the centers of Supernova Remnants and supposed to be young,
radio-quiet Isolated Neutron Stars (INSs). A clear understanding of their
physics would be crucial in order to complete our view of the birth properties
of INSs. We will review the phenomenologies of CCOs, underlining the most
important, recent results, and we will discuss the possible relationships of
such sources with other classes of INSs.
| astro-ph | central compact objects ccos are a handful of soft xray sources located close to the centers of supernova remnants and supposed to be young radioquiet isolated neutron stars inss a clear understanding of their physics would be crucial in order to complete our view of the birth properties of inss we will review the phenomenologies of ccos underlining the most important recent results and we will discuss the possible relationships of such sources with other classes of inss | [['central', 'compact', 'objects', 'ccos', 'are', 'a', 'handful', 'of', 'soft', 'xray', 'sources', 'located', 'close', 'to', 'the', 'centers', 'of', 'supernova', 'remnants', 'and', 'supposed', 'to', 'be', 'young', 'radioquiet', 'isolated', 'neutron', 'stars', 'inss', 'a', 'clear', 'understanding', 'of', 'their', 'physics', 'would', 'be', 'crucial', 'in', 'order', 'to', 'complete', 'our', 'view', 'of', 'the', 'birth', 'properties', 'of', 'inss', 'we', 'will', 'review', 'the', 'phenomenologies', 'of', 'ccos', 'underlining', 'the', 'most', 'important', 'recent', 'results', 'and', 'we', 'will', 'discuss', 'the', 'possible', 'relationships', 'of', 'such', 'sources', 'with', 'other', 'classes', 'of', 'inss']] | [-0.07789794077129605, 0.13463096148095643, -0.05685405226615377, 0.18606648877119789, -0.19456982127844524, -0.04980220408059466, 0.08179875422651187, 0.3985833858068173, -0.1660694918481078, -0.32775918499399453, 0.0704119608973344, -0.35048096290885067, -0.046052435639863595, 0.25078387442641914, -0.08542124725854358, -0.05182368259799356, 0.09038330589567359, 0.017596172765852548, -0.05928239312384111, -0.25147352452563027, 0.34726086278589297, 0.062144474436839424, 0.1475655285593791, -0.014006973053209292, 0.033509691072723426, -0.09758123840826254, -0.07992984346734981, -0.008906841803437624, -0.08349026092447531, 0.10691607353062584, 0.33939919813229397, 0.1566840325935911, 0.17709063566648042, -0.4196053365102181, -0.19778497575018078, 0.14795692516968417, 0.16914940169916895, 0.046569917197279535, -0.09869068466986601, -0.29689348169053215, 0.10404372895852877, -0.161884680044097, -0.24731034359249932, 0.004253510749922731, 0.04031549417413771, 0.10977753213582894, -0.09650193075485265, 0.05670206857254156, 0.07430872062030129, 0.021407914515107106, -0.1256780839817694, -0.13018100068289548, 0.019688226016930852, 0.1461039727482085, 0.05032626337682208, 0.00525935104666039, 0.13253635589558727, -0.2121087527798059, -0.15252765491963005, 0.4184564166009808, 0.06410717301948282, -7.655380819088373e-05, 0.3356900671735788, -0.24935733712015626, -0.24814721669118184, 0.10542916268325196, 0.1605302695131216, 0.1864349922308555, -0.18155704831513456, -0.04369919783083531, -0.03167397870371739, 0.1496973383025481, -0.003423682861746504, 0.1430098487834561, 0.41438572741567326, 0.1921771563938819, -0.040087380703204334, 0.12912200556139652, -0.18265713998176253, -0.012377646394247094, -0.29179084367262054, -0.0900197537878576, -0.0918309184609172, 0.15269131368647018, -0.08191417545663754, -0.1262630364806869, 0.3374667259900329, 0.10926386753383738, 0.13833717368703594, -0.07478011183989927, 0.22171959427830118, 0.027544845156789493, 0.11630340388308888, 0.10812532475504738, 0.30830415288129676, 0.21129576112024295, 0.07392066277754612, -0.15330785184573287, 0.06635543612840895, -0.003924430422604275] |
712.221 | Magnetism and homogenization of micro-resonators | Arrays of cylindrical metal micro-resonators embedded in a dielectric matrix
were proposed by Pendry, et. al., in 1999 as a means of creating a microscopic
structure that exhibits strong bulk magnetic behavior at frequencies not
realized in nature. This behavior arises for H-polarized fields in the
quasi-static regime, in which the scale of the micro-structure is much smaller
than the free-space wavelength of the fields. We carry out both formal and
rigorous two-scale homogenization analyses, paying special attention to the
appropriate method of averaging, which does not involve the usual cell
averages. We show that the effective magnetic and dielectric coefficients
obtained by means of such averaging characterize a bulk medium that, to leading
order, produces the same scattering data as the micro-structured composite.
| math-ph math.MP | arrays of cylindrical metal microresonators embedded in a dielectric matrix were proposed by pendry et al in 1999 as a means of creating a microscopic structure that exhibits strong bulk magnetic behavior at frequencies not realized in nature this behavior arises for hpolarized fields in the quasistatic regime in which the scale of the microstructure is much smaller than the freespace wavelength of the fields we carry out both formal and rigorous twoscale homogenization analyses paying special attention to the appropriate method of averaging which does not involve the usual cell averages we show that the effective magnetic and dielectric coefficients obtained by means of such averaging characterize a bulk medium that to leading order produces the same scattering data as the microstructured composite | [['arrays', 'of', 'cylindrical', 'metal', 'microresonators', 'embedded', 'in', 'a', 'dielectric', 'matrix', 'were', 'proposed', 'by', 'pendry', 'et', 'al', 'in', '1999', 'as', 'a', 'means', 'of', 'creating', 'a', 'microscopic', 'structure', 'that', 'exhibits', 'strong', 'bulk', 'magnetic', 'behavior', 'at', 'frequencies', 'not', 'realized', 'in', 'nature', 'this', 'behavior', 'arises', 'for', 'hpolarized', 'fields', 'in', 'the', 'quasistatic', 'regime', 'in', 'which', 'the', 'scale', 'of', 'the', 'microstructure', 'is', 'much', 'smaller', 'than', 'the', 'freespace', 'wavelength', 'of', 'the', 'fields', 'we', 'carry', 'out', 'both', 'formal', 'and', 'rigorous', 'twoscale', 'homogenization', 'analyses', 'paying', 'special', 'attention', 'to', 'the', 'appropriate', 'method', 'of', 'averaging', 'which', 'does', 'not', 'involve', 'the', 'usual', 'cell', 'averages', 'we', 'show', 'that', 'the', 'effective', 'magnetic', 'and', 'dielectric', 'coefficients', 'obtained', 'by', 'means', 'of', 'such', 'averaging', 'characterize', 'a', 'bulk', 'medium', 'that', 'to', 'leading', 'order', 'produces', 'the', 'same', 'scattering', 'data', 'as', 'the', 'microstructured', 'composite']] | [-0.1346397922133028, 0.13887453599712782, -0.07406896870065059, 0.022609398749116206, -0.08253774329298927, -0.07572512574411268, 0.02543033792584714, 0.39125695666899124, -0.2277583154218812, -0.28209451272062236, 0.06585103238373244, -0.23507463122575334, -0.16107257589465007, 0.1940234783781512, -0.017807805005671275, 0.04138208188317461, -0.014224125323967347, -0.02844853481397994, -0.06313728409135834, -0.1773064777915997, 0.2646601209942732, 0.07259869915358122, 0.3224986333309883, 0.012774135971877484, 0.07303662298035042, 0.02877955615235072, 0.0003686946433698458, 0.07403146426734183, -0.10959141068210997, 0.07866478939127598, 0.22380711492376343, -0.018022535992185434, 0.2540364171633677, -0.46441132026243837, -0.270620205356071, 0.04653765995716376, 0.14036147735520987, 0.11294616011512135, -0.039041974743257365, -0.2521009235041997, 0.055492611316543435, -0.11562987225460669, -0.1601379532141671, -0.0908774571256682, -0.01090539226894297, 0.005997856879877227, -0.28901933296067234, 0.07455733018404347, 0.09753029683281877, 0.07385517026282727, -0.03437101319920452, -0.09166196298094527, -0.004136797481013702, 0.08031632702031563, 0.036562932453366115, -0.022441831310354775, 0.1457788869062619, -0.11294585380622471, -0.04398092413471351, 0.38677938679052937, -0.07919377413723382, -0.16683570271913684, 0.17403655233530088, -0.16676682581178723, -0.050572937771287414, 0.17624639200268225, 0.1539519524667412, 0.11328588238299539, -0.15120548582983187, 0.09566360448708668, -0.04729795461190083, 0.17926038791530677, 0.11804921129876148, 0.04653748562334165, 0.1737321401014924, 0.16753613582301524, -0.009435186695848261, 0.1311713952191865, -0.05707992037059739, -0.0891452739451779, -0.25979247678356665, -0.13941149249477613, -0.20654329293662863, 0.06804860583454889, -0.0969915171057613, -0.21668754873662105, 0.36565527099657863, 0.1292286997871293, 0.18788325267979095, -0.005444349959537747, 0.251344935232473, 0.10930584565052882, 0.10119098774157465, 0.051618431533326306, 0.3168851849848344, 0.1526408356129973, 0.14126499343077623, -0.2160723488665216, 0.02492882333125078, 0.061827813808415684] |
712.2211 | On the Bakry-Emery criterion for linear diffusions and weighted porous
media equations | The goal of this paper is to give a non-local sufficient condition for
generalized Poincar\'e inequalities, which extends the well-known Bakry-Emery
condition. Such generalized Poincar\'e inequalities have been introduced by W.
Beckner in the gaussian case and provide, along the Ornstein-Uhlenbeck flow,
the exponential decay of some generalized entropies which interpolate between
the $L^2$ norm and the usual entropy. Our criterion improves on results which,
for instance, can be deduced from the Bakry-Emery criterion and Holley-Stroock
type perturbation results. In a second step, we apply the same strategy to
non-linear equations of porous media type. This provides new interpolation
inequalities and decay estimates for the solutions of the evolution problem.
The criterion is again a non-local condition based on the positivity of the
lowest eigenvalue of a Schr\"odinger operator. In both cases, we relate the
Fisher information with its time derivative. Since the resulting criterion is
non-local, it is better adapted to potentials with, for instance, a
non-quadratic growth at infinity, or to unbounded perturbations of the
potential.
| math.AP | the goal of this paper is to give a nonlocal sufficient condition for generalized poincare inequalities which extends the wellknown bakryemery condition such generalized poincare inequalities have been introduced by w beckner in the gaussian case and provide along the ornsteinuhlenbeck flow the exponential decay of some generalized entropies which interpolate between the l2 norm and the usual entropy our criterion improves on results which for instance can be deduced from the bakryemery criterion and holleystroock type perturbation results in a second step we apply the same strategy to nonlinear equations of porous media type this provides new interpolation inequalities and decay estimates for the solutions of the evolution problem the criterion is again a nonlocal condition based on the positivity of the lowest eigenvalue of a schrodinger operator in both cases we relate the fisher information with its time derivative since the resulting criterion is nonlocal it is better adapted to potentials with for instance a nonquadratic growth at infinity or to unbounded perturbations of the potential | [['the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'give', 'a', 'nonlocal', 'sufficient', 'condition', 'for', 'generalized', 'poincare', 'inequalities', 'which', 'extends', 'the', 'wellknown', 'bakryemery', 'condition', 'such', 'generalized', 'poincare', 'inequalities', 'have', 'been', 'introduced', 'by', 'w', 'beckner', 'in', 'the', 'gaussian', 'case', 'and', 'provide', 'along', 'the', 'ornsteinuhlenbeck', 'flow', 'the', 'exponential', 'decay', 'of', 'some', 'generalized', 'entropies', 'which', 'interpolate', 'between', 'the', 'l2', 'norm', 'and', 'the', 'usual', 'entropy', 'our', 'criterion', 'improves', 'on', 'results', 'which', 'for', 'instance', 'can', 'be', 'deduced', 'from', 'the', 'bakryemery', 'criterion', 'and', 'holleystroock', 'type', 'perturbation', 'results', 'in', 'a', 'second', 'step', 'we', 'apply', 'the', 'same', 'strategy', 'to', 'nonlinear', 'equations', 'of', 'porous', 'media', 'type', 'this', 'provides', 'new', 'interpolation', 'inequalities', 'and', 'decay', 'estimates', 'for', 'the', 'solutions', 'of', 'the', 'evolution', 'problem', 'the', 'criterion', 'is', 'again', 'a', 'nonlocal', 'condition', 'based', 'on', 'the', 'positivity', 'of', 'the', 'lowest', 'eigenvalue', 'of', 'a', 'schrodinger', 'operator', 'in', 'both', 'cases', 'we', 'relate', 'the', 'fisher', 'information', 'with', 'its', 'time', 'derivative', 'since', 'the', 'resulting', 'criterion', 'is', 'nonlocal', 'it', 'is', 'better', 'adapted', 'to', 'potentials', 'with', 'for', 'instance', 'a', 'nonquadratic', 'growth', 'at', 'infinity', 'or', 'to', 'unbounded', 'perturbations', 'of', 'the', 'potential']] | [-0.06907992989345942, 0.057356173862769665, -0.13199082626271688, 0.11522051634632849, -0.10043322000586029, -0.17963226861874795, -0.006138227568867262, 0.2698368218414197, -0.29041936450604616, -0.23240559838900698, 0.14187426469080883, -0.2707052398084973, -0.15305421995054486, 0.18728065536595837, -0.06537851974800495, 0.0989435319480392, 0.0411168585913921, 0.07197967437501315, -0.08593932856031945, -0.2598985953483775, 0.35766790959141437, 0.016082685452558854, 0.25442169842703843, 0.09288429143357678, 0.08549687525945567, -0.002705392677203885, -0.021782473720599056, -0.009279783028573331, -0.2037917888720542, 0.13532344255682324, 0.18362962946472786, 0.10925427585745984, 0.30519371899953557, -0.39647492178760113, -0.2157108857701089, 0.14968935162427702, 0.09894866415596057, 0.09211137096350458, -0.01599785611393773, -0.3018467471965345, 0.06757466343419981, -0.11036113052423821, -0.1800337802712983, -0.0704813342530369, -0.009072005283087492, 0.03719800086019816, -0.3530418855204646, 0.16024166091007092, 0.12127012308095193, -0.0022331139722761386, -0.10563891195938811, -0.0720053589570203, -0.012046784291409754, 0.056695142188497506, 0.02795276027921188, -0.0003777594198860849, 0.05896631104683149, -0.07399829251170602, -0.08867754315586007, 0.33506468930725186, -0.09444931124675177, -0.27857260757480706, 0.13361564539151177, -0.1140671494261672, -0.11156347192480184, 0.06789444865287242, 0.14235072381727928, 0.13728682994466604, -0.14436765374349697, 0.11037995894522672, -0.03756507185642563, 0.08920844558105316, 0.10136408030631996, 0.042842436249234846, 0.0665041894563252, 0.07941811392915302, 0.15416312060621012, 0.16687463877453756, -0.02108823929336809, -0.1181312845631813, -0.36820332491091295, -0.18743541376482295, -0.19030305520919638, 0.07074774930134438, -0.13663880186747215, -0.16451394709847159, 0.3814154302013949, 0.07085675178400595, 0.17610750842695347, 0.09540515422884796, 0.23099526601228199, 0.18804678621520343, 0.05344812232734902, 0.05645082099999854, 0.22955198054720918, 0.20598611303943298, 0.1394344232338924, -0.18961527200233486, 0.05270364889778042, 0.17387713083631492] |
712.2212 | Next-to-MLLA corrections to single inclusive kt-distributions and
2-particle correlations in a jet | The hadronic kt-spectrum inside a high energy jet is determined including
corrections of relative magnitude O{\sqrt{\alpha_s}} with respect to the
Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum
approximation (assuming an infrared cut-off Q0 =Lambda_{QCD}) and beyond
Q_0\ne\Lambda_{QCD}. The results in the limiting spectrum approximation are
found to be, after normalization, in impressive agreement with preliminary
measurements by the CDF collaboration, unlike what occurs at MLLA, pointing out
small overall non-perturbative contributions. Within the same framework,
2-particle correlations inside a jet are also predicted at NMLLA and compared
to previous MLLA calculations.
| hep-ph hep-ex | the hadronic ktspectrum inside a high energy jet is determined including corrections of relative magnitude osqrtalpha_s with respect to the modified leading logarithmic approximation mlla in the limiting spectrum approximation assuming an infrared cutoff q0 lambda_qcd and beyond q_0nelambda_qcd the results in the limiting spectrum approximation are found to be after normalization in impressive agreement with preliminary measurements by the cdf collaboration unlike what occurs at mlla pointing out small overall nonperturbative contributions within the same framework 2particle correlations inside a jet are also predicted at nmlla and compared to previous mlla calculations | [['the', 'hadronic', 'ktspectrum', 'inside', 'a', 'high', 'energy', 'jet', 'is', 'determined', 'including', 'corrections', 'of', 'relative', 'magnitude', 'osqrtalpha_s', 'with', 'respect', 'to', 'the', 'modified', 'leading', 'logarithmic', 'approximation', 'mlla', 'in', 'the', 'limiting', 'spectrum', 'approximation', 'assuming', 'an', 'infrared', 'cutoff', 'q0', 'lambda_qcd', 'and', 'beyond', 'q_0nelambda_qcd', 'the', 'results', 'in', 'the', 'limiting', 'spectrum', 'approximation', 'are', 'found', 'to', 'be', 'after', 'normalization', 'in', 'impressive', 'agreement', 'with', 'preliminary', 'measurements', 'by', 'the', 'cdf', 'collaboration', 'unlike', 'what', 'occurs', 'at', 'mlla', 'pointing', 'out', 'small', 'overall', 'nonperturbative', 'contributions', 'within', 'the', 'same', 'framework', '2particle', 'correlations', 'inside', 'a', 'jet', 'are', 'also', 'predicted', 'at', 'nmlla', 'and', 'compared', 'to', 'previous', 'mlla', 'calculations']] | [-0.04404457641455035, 0.11420507010011029, -0.13455335904016263, 0.1320355021666425, 0.005805061157378885, -0.0877818789333105, 0.02934672245400078, 0.3679616492655542, -0.18346599219366908, -0.32026178549988094, 0.0011594682013512485, -0.336734840584298, -0.0024996918936570486, 0.1424880957386146, 0.012911181552853021, 0.06636891428174244, 0.03521335224827959, 0.023599145794287325, -0.138495231890637, -0.17122566336895237, 0.26749098269889754, 0.17028063933054607, 0.2612790022252334, 0.10540878283273843, 0.01050015814188454, -0.019624336388531245, -0.07719390280027356, 0.023253799814523923, -0.13170874164336258, 0.01760565421750976, 0.20614290854169262, -0.04042731454440703, 0.19791481239177908, -0.36523379443420306, -0.14776233532207295, 0.04382013897928927, 0.18258309859213315, 0.07535507742625971, 0.018646078256683216, -0.2357286511713432, 0.09407035658886242, -0.2113731942553487, -0.20831242053148646, -0.06810672558430168, -0.035747305158939625, -0.00043212222194092143, -0.28490082361968233, 0.13255430451406736, -0.014504168665977583, 0.006508882407716656, -0.03458304912265804, -0.17269917468850812, 0.0001478568185120821, 0.06995695953050421, 0.09838696601994647, 0.10614853527707359, 0.15288017842297752, -0.18772780642999956, -0.10149273455349936, 0.3919512882414791, -0.09668087357939738, -0.12549670737644192, 0.11096476118869356, -0.24088098803638583, -0.1341482834580044, 0.20578334317801314, 0.1069702612158532, 0.0482882038324735, -0.12298340699118045, 0.09998383056243054, 0.01913889655843377, 0.1428692236232261, 0.12124530946473694, 0.0636769829879793, 0.15548474834197099, 0.13566523959032364, -0.013351723986367385, 0.08198342058523041, -0.06926951767462823, -0.15580374504336053, -0.3738944224185414, -0.017616350048532087, -0.15167280282670012, 0.03790272904249529, -0.13127655795639537, -0.08875765067835649, 0.34402138023740714, 0.10324911076782478, 0.24081597158478366, 0.050223880468143356, 0.31307154261093173, 0.14856527558812457, 0.1141066832235083, 0.11369393599840502, 0.3686858084466722, 0.12524226267511646, 0.09750527842487726, -0.23439811703800742, 0.044281176198273896, 0.035322903210504186] |
712.2213 | Bicontinuous emulsions stabilized solely by colloidal particles | Recent large-scale computer simulations suggest that it may be possible to
create a new class of soft solids, called `bijels', by stabilizing and
arresting the bicontinuous interface in a binary liquid demixing via spinodal
decomposition using particles that are neutrally wetted by both liquids. The
interfacial layer of particles is expected to be semi-permeable, hence, if
realised, these new materials would have many potential applications, e.g. as
microreaction media. However, the creation of bijels in the laboratory faces
serious obstacles. In general, fast quench rates are necessary to bypass
nucleation, so that only samples with limited thickness can be produced, which
destroys the three-dimensionality of the putative bicontinuous network.
Moreover, even a small degree of unequal wettability of the particles by the
two liquids can lead to ill-characterised, `lumpy' interfacial layers and
therefore irreproducible material properties. Here we report a reproducible
protocol for creating three-dimensional samples of bijel in which the
interfaces are stabilized by essentially a single layer of particles. We
demonstrate how to tune the mean interfacial separation in these bijels, and
show that mechanically, they indeed behave as soft solids.
| cond-mat.soft cond-mat.mtrl-sci | recent largescale computer simulations suggest that it may be possible to create a new class of soft solids called bijels by stabilizing and arresting the bicontinuous interface in a binary liquid demixing via spinodal decomposition using particles that are neutrally wetted by both liquids the interfacial layer of particles is expected to be semipermeable hence if realised these new materials would have many potential applications eg as microreaction media however the creation of bijels in the laboratory faces serious obstacles in general fast quench rates are necessary to bypass nucleation so that only samples with limited thickness can be produced which destroys the threedimensionality of the putative bicontinuous network moreover even a small degree of unequal wettability of the particles by the two liquids can lead to illcharacterised lumpy interfacial layers and therefore irreproducible material properties here we report a reproducible protocol for creating threedimensional samples of bijel in which the interfaces are stabilized by essentially a single layer of particles we demonstrate how to tune the mean interfacial separation in these bijels and show that mechanically they indeed behave as soft solids | [['recent', 'largescale', 'computer', 'simulations', 'suggest', 'that', 'it', 'may', 'be', 'possible', 'to', 'create', 'a', 'new', 'class', 'of', 'soft', 'solids', 'called', 'bijels', 'by', 'stabilizing', 'and', 'arresting', 'the', 'bicontinuous', 'interface', 'in', 'a', 'binary', 'liquid', 'demixing', 'via', 'spinodal', 'decomposition', 'using', 'particles', 'that', 'are', 'neutrally', 'wetted', 'by', 'both', 'liquids', 'the', 'interfacial', 'layer', 'of', 'particles', 'is', 'expected', 'to', 'be', 'semipermeable', 'hence', 'if', 'realised', 'these', 'new', 'materials', 'would', 'have', 'many', 'potential', 'applications', 'eg', 'as', 'microreaction', 'media', 'however', 'the', 'creation', 'of', 'bijels', 'in', 'the', 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712.2214 | Large scale geometry of certain solvable groups | In this paper we provide the final steps in the proof, announced by
Eskin-Fisher-Whyte, of quasi-isometric rigidity of a class of non-nilpotent
polycyclic groups. To this end, we prove a rigidity theorem on the boundaries
of certain negatively curved homogeneous spaces and combine it with work of
Eskin-Fisher-Whyte and Peng on the structure of quasi-isometries of certain
solvable Lie groups.
| math.GR math.MG | in this paper we provide the final steps in the proof announced by eskinfisherwhyte of quasiisometric rigidity of a class of nonnilpotent polycyclic groups to this end we prove a rigidity theorem on the boundaries of certain negatively curved homogeneous spaces and combine it with work of eskinfisherwhyte and peng on the structure of quasiisometries of certain solvable lie groups | [['in', 'this', 'paper', 'we', 'provide', 'the', 'final', 'steps', 'in', 'the', 'proof', 'announced', 'by', 'eskinfisherwhyte', 'of', 'quasiisometric', 'rigidity', 'of', 'a', 'class', 'of', 'nonnilpotent', 'polycyclic', 'groups', 'to', 'this', 'end', 'we', 'prove', 'a', 'rigidity', 'theorem', 'on', 'the', 'boundaries', 'of', 'certain', 'negatively', 'curved', 'homogeneous', 'spaces', 'and', 'combine', 'it', 'with', 'work', 'of', 'eskinfisherwhyte', 'and', 'peng', 'on', 'the', 'structure', 'of', 'quasiisometries', 'of', 'certain', 'solvable', 'lie', 'groups']] | [-0.13964325735966365, 0.10011937332650026, -0.09541491347675522, 0.03359242930309847, -0.07674240963533521, -0.09202594935583572, 0.037792295452284935, 0.4002531216169397, -0.2760783033057426, -0.24190062759444117, 0.10235812056344003, -0.20931030322487157, -0.16725113049033097, 0.17222371120005847, -0.16137339051347227, -0.03134843474254012, 0.07530295788310468, 0.04868013095547212, -0.043703674672481915, -0.31097373347341395, 0.4310092657804489, -0.01796675881681343, 0.2011218057324489, 0.10133756032058348, 0.06881679203361273, 0.03427700168297936, -0.05762604777701199, 0.02408687537536025, -0.2183433963296314, 0.20799368424341083, 0.2547887822923561, 0.03002596489386633, 0.2291296735444727, -0.33565591983497145, -0.16593745242183408, 0.1377372261757652, 0.09736436189462741, 0.06480896881160637, -0.05906079881824553, -0.34385370686650274, 0.1064570216772457, -0.131130940032502, -0.16293783114136506, -0.014937937523548802, 0.0217118358782803, 0.012698379888509711, -0.12722100829414557, 0.05632542613893747, 0.20500698210671545, 0.08191522158564718, -0.10943291263344387, -0.055995256562406816, -0.014947946090251208, 0.10939872173282007, 0.005729583899180094, -0.020539443691571554, 0.1034499859282126, -0.04062511187512428, -0.13681977571298679, 0.3873224736501773, -0.04038113985831539, -0.17157046183322866, 0.21344475920001665, -0.17442626223977034, -0.26525913095101716, 0.10443179106029371, 0.17121188507104915, 0.1887096927501261, -0.06911845199162296, 0.17012305762424754, -0.11615335206734016, 0.07504125204092513, 0.11565416655503213, -0.0288698263039502, 0.08547360996405283, 0.13319095522941402, 0.14101099120453, 0.17704256060533224, 0.07752781761810183, 0.02622229616875605, -0.3559815411145488, -0.22657363725205262, -0.11124042592321833, 0.1342599844560027, -0.07982402902513665, -0.20976650684606285, 0.4011937890201807, 0.08160009206427882, 0.194165475309516, 0.16216218456005058, 0.1647322320068876, 0.008097147693236668, 0.02503787262830883, 0.05206962723750621, 0.1698459358070977, 0.2305986622852894, 0.005422140502681335, -0.11682133719635507, -0.031002043661040566, 0.17120700295393665] |
712.2215 | On coherent systems of type (n,d,n+1) on Petri curves | We study coherent systems of type $(n,d,n+1)$ on a Petri curve $X$ of genus
$g\ge2$. We describe the geometry of the moduli space of such coherent systems
for large values of the parameter $\alpha$. We determine the top critical value
of $\alpha$ and show that the corresponding ``flip'' has positive codimension.
We investigate also the non-emptiness of the moduli space for smaller values of
$\alpha$, proving in many cases that the condition for non-emptiness is the
same as for large $\alpha$. We give some detailed results for $g\le5$ and
applications to higher rank Brill-Noether theory and the stability of kernels
of evaluation maps, thus proving Butler's conjecture in some cases in which it
was not previously known.
| math.AG | we study coherent systems of type ndn1 on a petri curve x of genus gge2 we describe the geometry of the moduli space of such coherent systems for large values of the parameter alpha we determine the top critical value of alpha and show that the corresponding flip has positive codimension we investigate also the nonemptiness of the moduli space for smaller values of alpha proving in many cases that the condition for nonemptiness is the same as for large alpha we give some detailed results for gle5 and applications to higher rank brillnoether theory and the stability of kernels of evaluation maps thus proving butlers conjecture in some cases in which it was not previously known | [['we', 'study', 'coherent', 'systems', 'of', 'type', 'ndn1', 'on', 'a', 'petri', 'curve', 'x', 'of', 'genus', 'gge2', 'we', 'describe', 'the', 'geometry', 'of', 'the', 'moduli', 'space', 'of', 'such', 'coherent', 'systems', 'for', 'large', 'values', 'of', 'the', 'parameter', 'alpha', 'we', 'determine', 'the', 'top', 'critical', 'value', 'of', 'alpha', 'and', 'show', 'that', 'the', 'corresponding', 'flip', 'has', 'positive', 'codimension', 'we', 'investigate', 'also', 'the', 'nonemptiness', 'of', 'the', 'moduli', 'space', 'for', 'smaller', 'values', 'of', 'alpha', 'proving', 'in', 'many', 'cases', 'that', 'the', 'condition', 'for', 'nonemptiness', 'is', 'the', 'same', 'as', 'for', 'large', 'alpha', 'we', 'give', 'some', 'detailed', 'results', 'for', 'gle5', 'and', 'applications', 'to', 'higher', 'rank', 'brillnoether', 'theory', 'and', 'the', 'stability', 'of', 'kernels', 'of', 'evaluation', 'maps', 'thus', 'proving', 'butlers', 'conjecture', 'in', 'some', 'cases', 'in', 'which', 'it', 'was', 'not', 'previously', 'known']] | [-0.15016171348321697, 0.0986391109039845, -0.04504766515253679, 0.10329903655017361, -0.03176889685994905, -0.12870018444550427, 0.03983651107561815, 0.32468690546634404, -0.25432391630728607, -0.2520208547944608, 0.1246067538422168, -0.23811197662928507, -0.15904844589531422, 0.26994142529919096, -0.07827507626346272, 0.04402952046644793, 0.035026786929887276, 0.05819855164736509, -0.08718278332329962, -0.28426873132930663, 0.3982108141133643, -0.019215988278712914, 0.22003812558301117, 0.08960350816057104, 0.0824153328516885, 0.010456391180986943, 0.012066866072785596, 0.02296994268339325, -0.2044617518424512, 0.11553157303360817, 0.24197811952427678, 0.12125162945088486, 0.20888346679832626, -0.33531161276218685, -0.1923548510591702, 0.18129817895368552, 0.08629084832450051, 0.0874307063985211, 0.016451853848791317, -0.21869150753254477, 0.14928677068699314, -0.1175175689889685, -0.18433622560747293, -0.10979305140107222, 0.10026014003113075, 0.036651699259148345, -0.22765801076412848, -0.0002572362860361033, 0.09300849565669246, 0.0829865762963891, -0.09951957320875447, -0.15008821400368344, -0.04562285383353415, 0.1230219697215311, 0.0440901345755581, -0.00567113073522468, 0.05625867207899042, -0.17054580489740423, -0.09363203994605852, 0.33929649107158183, -0.050555743455238965, -0.1825876394205767, 0.15981182837453872, -0.18721121208661276, -0.18467273034317339, 0.11298277687645801, 0.14625610216804172, 0.17268215511019502, -0.023311155370396117, 0.1408738899312954, -0.08001838296084948, 0.15551121384715255, 0.09451968604091393, 0.017089315916856994, 0.12240945547414214, 0.12302110523147428, 0.10123427943275917, 0.15282835890134067, -0.05917639765362053, -0.0713241400865271, -0.363079945548721, -0.22023378715890904, -0.1034823901819713, 0.07440236590248431, -0.13248271221338023, -0.18516568717263315, 0.37891783499685316, 0.1095966922159752, 0.2233635527851141, 0.09208727221146389, 0.2228697415198321, 0.11876986450211996, 0.03345544895400172, 0.042774723559294056, 0.22207171421184246, 0.14528300205812505, 0.04056635611164181, -0.16307664372269873, 0.055394229653250915, 0.12762105740282847] |
712.2216 | Loop diagrams in space with SU(2) fuzziness | The structure of loop corrections is examined in a scalar field theory on a
three dimensional space whose spatial coordinates are noncommutative and
satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in
$\phi^4$ scalar theory are calculated at the 1-loop order. The theory is
UV-finite as the momentum space is compact. It is shown that the non-planar
corrections are proportional to a one dimensional $\delta$-function, rather
than a three dimensional one, so that in transition rates only the planar
corrections contribute.
| hep-th | the structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy su2 lie algebra in particular the 2 and 4point functions in phi4 scalar theory are calculated at the 1loop order the theory is uvfinite as the momentum space is compact it is shown that the nonplanar corrections are proportional to a one dimensional deltafunction rather than a three dimensional one so that in transition rates only the planar corrections contribute | [['the', 'structure', 'of', 'loop', 'corrections', 'is', 'examined', 'in', 'a', 'scalar', 'field', 'theory', 'on', 'a', 'three', 'dimensional', 'space', 'whose', 'spatial', 'coordinates', 'are', 'noncommutative', 'and', 'satisfy', 'su2', 'lie', 'algebra', 'in', 'particular', 'the', '2', 'and', '4point', 'functions', 'in', 'phi4', 'scalar', 'theory', 'are', 'calculated', 'at', 'the', '1loop', 'order', 'the', 'theory', 'is', 'uvfinite', 'as', 'the', 'momentum', 'space', 'is', 'compact', 'it', 'is', 'shown', 'that', 'the', 'nonplanar', 'corrections', 'are', 'proportional', 'to', 'a', 'one', 'dimensional', 'deltafunction', 'rather', 'than', 'a', 'three', 'dimensional', 'one', 'so', 'that', 'in', 'transition', 'rates', 'only', 'the', 'planar', 'corrections', 'contribute']] | [-0.13105931609087357, 0.19190506786773248, -0.05698549298990872, 0.14112261465994552, -0.056584980538381, -0.14095532423345417, -0.0851117322426511, 0.3500451254658401, -0.17985229400385702, -0.21189294365190325, 0.09052647637491602, -0.30746936790334684, -0.1698268068333467, 0.1556653568654188, 0.025694112016242884, -0.006653501620998473, -0.03284282055184511, 0.13406346343080736, -0.11464331903871858, -0.26387925421503106, 0.39016508170780506, -0.007920975819052685, 0.23132710377796598, 0.031018142532307787, 0.09525467326775902, -0.023215344785490914, -0.0035317830042913556, 0.050846388019549306, -0.09552456278418374, 0.08544975974170181, 0.1988875154250612, -0.0220404707652051, 0.19444572360398957, -0.3837814019283369, -0.19818766359683304, 0.0746924357843541, 0.14108471556322738, 0.09653630224056542, 0.011053712488362743, -0.20134655475184055, 0.045797519328992904, -0.1689497751760341, -0.15805170186130063, -0.09503557795791753, 0.026514975577204798, -0.08907572095770211, -0.2757907011192791, 0.06002223092530455, -0.00034227858607967693, 0.006568867713212967, -0.0389034496786605, -0.08545785377334271, -0.09836190340242215, 0.09547241788268798, 0.02369607432046905, 0.10274863608425394, 0.10129008966032416, -0.14284901494232013, -0.14170008518322857, 0.4120567025882857, -0.03968339797523056, -0.28033622070437386, 0.12748646282402443, -0.24019450171007997, -0.15665665338192844, 0.15709432285456432, 0.1292495577141554, 0.15051180237372005, -0.1170662699296372, 0.24166122871489884, 0.0008800724698674111, 0.13644763269361906, 0.10140140882937149, 0.03622963871540768, 0.18663120330754845, 0.0935819362029655, 0.025302951002404803, 0.111976422424916, -0.0182963510326642, -0.16658687712402925, -0.3948409479288828, -0.1390703519601153, -0.1598963200120211, 0.062408032696805005, -0.14938947644293962, -0.19183768955207642, 0.36510906313058167, 0.09829146154706472, 0.16427066854001687, 0.043718721955970284, 0.2863455659410517, 0.18586879023600236, 0.15248270499120867, 0.06568500390165441, 0.25458976439022946, 0.1833646657399922, 0.04362389942010244, -0.17835065225205785, -0.0904546353156634, 0.16708420490890386] |
712.2217 | Extended-Source Effect and Chromaticity in Two-Point-Mass Microlensing | We explore the sensitivity of two-point-mass gravitational microlensing to
the extended nature of the source star, as well as the related sensitivity to
its limb darkening. We demonstrate that the sensitive region, usually
considered to be limited to a source-diameter-wide band along the caustic, is
strongly expanded near cusps, most prominently along their outer axis. In the
case of multi-component caustics, facing cusps may form a region with a
non-negligible extended-source effect spanning the gap between them. We
demonstrate that for smaller sources the size of the sensitive region extending
from a cusp measured in units of source radii increases, scaling as the inverse
cube root of the radius. We study the extent of different sensitivity contours
and show that for a microlensed Galactic bulge giant the probability of
encountering at least a 1% extended-source effect is higher than the
probability of caustic crossing by 40-60% when averaged over a typical range of
lens-component separations, with the actual value depending on the mass ratio
of the components. We derive analytical expressions for the extended-source
effect and chromaticity for a source positioned off the caustic. These formulae
are more generally applicable to any gravitational lens with a sufficiently
small source. Using exactly computed amplifications we test the often used
linear-fold caustic approximation and show that it may lead to errors on the
level of a few percent even in near-ideal caustic-crossing events. Finally, we
discuss several interesting cases of observed binary and planetary microlensing
events and point out the importance of our results for the measurement of
stellar limb darkening from microlensing light curves.
| astro-ph | we explore the sensitivity of twopointmass gravitational microlensing to the extended nature of the source star as well as the related sensitivity to its limb darkening we demonstrate that the sensitive region usually considered to be limited to a sourcediameterwide band along the caustic is strongly expanded near cusps most prominently along their outer axis in the case of multicomponent caustics facing cusps may form a region with a nonnegligible extendedsource effect spanning the gap between them we demonstrate that for smaller sources the size of the sensitive region extending from a cusp measured in units of source radii increases scaling as the inverse cube root of the radius we study the extent of different sensitivity contours and show that for a microlensed galactic bulge giant the probability of encountering at least a 1 extendedsource effect is higher than the probability of caustic crossing by 4060 when averaged over a typical range of lenscomponent separations with the actual value depending on the mass ratio of the components we derive analytical expressions for the extendedsource effect and chromaticity for a source positioned off the caustic these formulae are more generally applicable to any gravitational lens with a sufficiently small source using exactly computed amplifications we test the often used linearfold caustic approximation and show that it may lead to errors on the level of a few percent even in nearideal causticcrossing events finally we discuss several interesting cases of observed binary and planetary microlensing events and point out the importance of our results for the measurement of stellar limb darkening from microlensing light curves | [['we', 'explore', 'the', 'sensitivity', 'of', 'twopointmass', 'gravitational', 'microlensing', 'to', 'the', 'extended', 'nature', 'of', 'the', 'source', 'star', 'as', 'well', 'as', 'the', 'related', 'sensitivity', 'to', 'its', 'limb', 'darkening', 'we', 'demonstrate', 'that', 'the', 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712.2218 | Identification of functional information subgraphs in complex networks | We present a general information theoretic approach for identifying
functional subgraphs in complex networks where the dynamics of each node are
observable. We show that the uncertainty in the state of each node can be
expressed as a sum of information quantities involving a growing number of
correlated variables at other nodes. We demonstrate that each term in this sum
is generated by successively conditioning mutual informations on new measured
variables, in a way analogous to a discrete differential calculus. The analogy
to a Taylor series suggests efficient search algorithms for determining the
state of a target variable in terms of functional groups of other degrees of
freedom. We apply this methodology to electrophysiological recordings of
networks of cortical neurons grown it in vitro. Despite strong stochasticity,
we show that each cell's patterns of firing are generally explained by the
activity of a small number of other neurons. We identify these neuronal
subgraphs in terms of their mutually redundant or synergetic character and
reconstruct neuronal circuits that account for the state of each target cell.
| q-bio.NC cond-mat.dis-nn | we present a general information theoretic approach for identifying functional subgraphs in complex networks where the dynamics of each node are observable we show that the uncertainty in the state of each node can be expressed as a sum of information quantities involving a growing number of correlated variables at other nodes we demonstrate that each term in this sum is generated by successively conditioning mutual informations on new measured variables in a way analogous to a discrete differential calculus the analogy to a taylor series suggests efficient search algorithms for determining the state of a target variable in terms of functional groups of other degrees of freedom we apply this methodology to electrophysiological recordings of networks of cortical neurons grown it in vitro despite strong stochasticity we show that each cells patterns of firing are generally explained by the activity of a small number of other neurons we identify these neuronal subgraphs in terms of their mutually redundant or synergetic character and reconstruct neuronal circuits that account for the state of each target cell | [['we', 'present', 'a', 'general', 'information', 'theoretic', 'approach', 'for', 'identifying', 'functional', 'subgraphs', 'in', 'complex', 'networks', 'where', 'the', 'dynamics', 'of', 'each', 'node', 'are', 'observable', 'we', 'show', 'that', 'the', 'uncertainty', 'in', 'the', 'state', 'of', 'each', 'node', 'can', 'be', 'expressed', 'as', 'a', 'sum', 'of', 'information', 'quantities', 'involving', 'a', 'growing', 'number', 'of', 'correlated', 'variables', 'at', 'other', 'nodes', 'we', 'demonstrate', 'that', 'each', 'term', 'in', 'this', 'sum', 'is', 'generated', 'by', 'successively', 'conditioning', 'mutual', 'informations', 'on', 'new', 'measured', 'variables', 'in', 'a', 'way', 'analogous', 'to', 'a', 'discrete', 'differential', 'calculus', 'the', 'analogy', 'to', 'a', 'taylor', 'series', 'suggests', 'efficient', 'search', 'algorithms', 'for', 'determining', 'the', 'state', 'of', 'a', 'target', 'variable', 'in', 'terms', 'of', 'functional', 'groups', 'of', 'other', 'degrees', 'of', 'freedom', 'we', 'apply', 'this', 'methodology', 'to', 'electrophysiological', 'recordings', 'of', 'networks', 'of', 'cortical', 'neurons', 'grown', 'it', 'in', 'vitro', 'despite', 'strong', 'stochasticity', 'we', 'show', 'that', 'each', 'cells', 'patterns', 'of', 'firing', 'are', 'generally', 'explained', 'by', 'the', 'activity', 'of', 'a', 'small', 'number', 'of', 'other', 'neurons', 'we', 'identify', 'these', 'neuronal', 'subgraphs', 'in', 'terms', 'of', 'their', 'mutually', 'redundant', 'or', 'synergetic', 'character', 'and', 'reconstruct', 'neuronal', 'circuits', 'that', 'account', 'for', 'the', 'state', 'of', 'each', 'target', 'cell']] | [-0.15403978678796973, 0.12643207755605024, -0.046287134207252945, 0.0593431791709736, -0.054431158008852176, -0.12113598189183644, 0.08176066060816603, 0.36609372404653445, -0.30161625432116645, -0.2738066247664392, 0.05449096940790436, -0.27312764573842285, -0.22215828136940088, 0.1517729247148548, -0.0854842259867915, 0.01007713618023055, 0.06865478765167479, 0.09776937692293099, 0.01474957725033164, -0.23330341776167707, 0.2781280660469617, -0.011775690407625267, 0.25054142246288913, -0.01762551654928497, 0.13666035048663616, -0.0071986482558505874, -0.04595778896340302, 0.053389767317899635, -0.07552349382828522, 0.1722415769905118, 0.30022142750344105, 0.14637219094139126, 0.29238877471536395, -0.4816829981668187, -0.25718608331467424, 0.11852529128215143, 0.13660338152865215, 0.1155843830401344, 0.002046147834376565, -0.27018182649676287, 0.07724591842453395, -0.14482555458854351, -0.07223023209055619, -0.09916859428797449, 0.01327566459774971, 0.0762895651321326, -0.2822324492090515, 0.08416752906915333, 0.03473255162127316, 0.07383173119808946, -0.03386664568978761, -0.10104535087078277, -0.030980076949511257, 0.16656396059452422, 0.0181535954859906, 0.0011802877179746118, 0.1565148581640928, -0.15084133257956378, -0.1397935918691967, 0.3110250482827957, -0.019270920851933104, -0.22555606991584812, 0.16193308162635991, -0.14914560000811306, -0.18516437189919607, 0.09882910624146461, 0.18639107126210416, 0.10367203475109169, -0.18950032863499863, -7.368012530995267e-06, -0.039510094917246275, 0.17598015520256013, 0.07389384228203978, 0.07262797508821157, 0.18541257703344205, 0.17342750206523175, 0.05068605957286698, 0.15351369515427254, -0.05917624524328858, -0.0902525379402297, -0.2934503764978477, -0.14993633729505484, -0.18913384574864592, 0.021064980162440666, -0.1234498301560026, -0.15783754768781363, 0.4410420978149133, 0.12252938647554922, 0.2190231195571167, 0.0616929762970124, 0.2509625990625604, 0.09468597380111793, 0.08309638485179416, 0.03533464526225413, 0.15921322056624507, 0.13151068602555566, 0.039880821223902914, -0.21313452197238802, 0.11810089125697101, 0.03839824465768678] |
712.2219 | Representation theorems for backward doubly stochastic differential
equations | In this paper we study the class of backward doubly stochastic differential
equations (BDSDEs, for short) whose terminal value depends on the history of
forward diffusion. We first establish a probabilistic representation for the
spatial gradient of the stochastic viscosity solution to a quasilinear
parabolic SPDE in the spirit of the Feynman-Kac formula, without using the
derivatives of the coefficients of the corresponding BDSDE. Then such a
representation leads to a closed-form representation of the martingale
integrand of BDSDE, under only standard Lipschitz condition on the
coefficients.
| math.PR | in this paper we study the class of backward doubly stochastic differential equations bdsdes for short whose terminal value depends on the history of forward diffusion we first establish a probabilistic representation for the spatial gradient of the stochastic viscosity solution to a quasilinear parabolic spde in the spirit of the feynmankac formula without using the derivatives of the coefficients of the corresponding bdsde then such a representation leads to a closedform representation of the martingale integrand of bdsde under only standard lipschitz condition on the coefficients | [['in', 'this', 'paper', 'we', 'study', 'the', 'class', 'of', 'backward', 'doubly', 'stochastic', 'differential', 'equations', 'bdsdes', 'for', 'short', 'whose', 'terminal', 'value', 'depends', 'on', 'the', 'history', 'of', 'forward', 'diffusion', 'we', 'first', 'establish', 'a', 'probabilistic', 'representation', 'for', 'the', 'spatial', 'gradient', 'of', 'the', 'stochastic', 'viscosity', 'solution', 'to', 'a', 'quasilinear', 'parabolic', 'spde', 'in', 'the', 'spirit', 'of', 'the', 'feynmankac', 'formula', 'without', 'using', 'the', 'derivatives', 'of', 'the', 'coefficients', 'of', 'the', 'corresponding', 'bdsde', 'then', 'such', 'a', 'representation', 'leads', 'to', 'a', 'closedform', 'representation', 'of', 'the', 'martingale', 'integrand', 'of', 'bdsde', 'under', 'only', 'standard', 'lipschitz', 'condition', 'on', 'the', 'coefficients']] | [-0.12309309983112175, -0.005105293373277561, -0.10858184999475877, 0.0617597862748943, -0.1456011000795868, -0.08959637574808693, 0.013767383236641428, 0.2872337468139742, -0.37181961318028384, -0.17410538760120928, 0.12735394462836028, -0.24518913222241334, -0.12950701737540893, 0.1823946694340343, -0.08990710079616428, 0.0864098884851736, 0.05309400086869197, 0.07092851663714853, -0.103298683717697, -0.19554113408539917, 0.3584927161031499, -0.03299744004362273, 0.2255611727977621, 0.01639900665566989, 0.2537878832148238, 0.017281713001644133, -0.051988165792152714, -0.011699735866752506, -0.16662283157715682, 0.1549978131192854, 0.21221263499812748, 0.03688313888155737, 0.32162846222348596, -0.44607708149257747, -0.1576077751601222, 0.10698133869760337, 0.08849399689860621, 0.10511506152949457, -0.03112964753072238, -0.27348096531698074, 0.06837608934990291, -0.13128160018655846, -0.1582656505774578, -0.030188759291094953, -0.003782796111471694, 0.08823617035790679, -0.3345112890385134, 0.1304377500374598, 0.10176589497332943, 0.018173789800861956, -0.09150281052865174, -0.0911954709853249, -0.008682242027301898, 0.03834931940461198, 0.06897895074792035, -0.03307995985090818, 0.034289993698997746, -0.153566773769435, -0.09241012491863863, 0.314085968948055, -0.18200337056113386, -0.31359057398191814, 0.12106345028712831, -0.183539438821461, -0.1341945723170179, 0.1452670775985495, 0.21070836693176936, 0.20169943830148243, -0.21016488152545418, 0.1498741783019712, -0.06808971973328755, 0.11132996761636145, 0.0961881036838067, -0.0022358790189884177, 0.05834495178798492, 0.14181690450607873, 0.13971058129407893, 0.12168592862763453, -0.03697960108689878, -0.16416471547864633, -0.38096446475420875, -0.21095313594526685, -0.12467073991723444, 0.09748104825915618, -0.16115376735427256, -0.21739303548392122, 0.39445567440412854, 0.11244872382617202, 0.17482854623946992, 0.15879507326178424, 0.23425591098487206, 0.2732039473137294, -0.03323804670623664, 0.042959177351072325, 0.16080268856536747, 0.19009462916078154, 0.149764305984216, -0.24527127817059044, 0.14916086109387205, 0.2123463733212744] |
712.222 | Phase transition in the rich-get-richer mechanism due to finite-size
effects | The rich-get-richer mechanism (agents increase their ``wealth'' randomly at a
rate proportional to their holdings) is often invoked to explain the Pareto
power-law distribution observed in many physical situations, such as the degree
distribution of growing scale free nets. We use two different analytical
approaches, as well as numerical simulations, to study the case where the
number of agents is fixed and finite (but large), and the rich-get-richer
mechanism is invoked a fraction r of the time (the remainder of the time wealth
is disbursed by a homogeneous process). At short times, we recover the Pareto
law observed for an unbounded number of agents. In later times, the (moving)
distribution can be scaled to reveal a phase transition with a Gaussian
asymptotic form for r < 1/2 and a Pareto-like tail (on the positive side) and a
novel stretched exponential decay (on the negative side) for r > 1/2.
| q-fin.GN cond-mat.stat-mech | the richgetricher mechanism agents increase their wealth randomly at a rate proportional to their holdings is often invoked to explain the pareto powerlaw distribution observed in many physical situations such as the degree distribution of growing scale free nets we use two different analytical approaches as well as numerical simulations to study the case where the number of agents is fixed and finite but large and the richgetricher mechanism is invoked a fraction r of the time the remainder of the time wealth is disbursed by a homogeneous process at short times we recover the pareto law observed for an unbounded number of agents in later times the moving distribution can be scaled to reveal a phase transition with a gaussian asymptotic form for r 12 and a paretolike tail on the positive side and a novel stretched exponential decay on the negative side for r 12 | [['the', 'richgetricher', 'mechanism', 'agents', 'increase', 'their', 'wealth', 'randomly', 'at', 'a', 'rate', 'proportional', 'to', 'their', 'holdings', 'is', 'often', 'invoked', 'to', 'explain', 'the', 'pareto', 'powerlaw', 'distribution', 'observed', 'in', 'many', 'physical', 'situations', 'such', 'as', 'the', 'degree', 'distribution', 'of', 'growing', 'scale', 'free', 'nets', 'we', 'use', 'two', 'different', 'analytical', 'approaches', 'as', 'well', 'as', 'numerical', 'simulations', 'to', 'study', 'the', 'case', 'where', 'the', 'number', 'of', 'agents', 'is', 'fixed', 'and', 'finite', 'but', 'large', 'and', 'the', 'richgetricher', 'mechanism', 'is', 'invoked', 'a', 'fraction', 'r', 'of', 'the', 'time', 'the', 'remainder', 'of', 'the', 'time', 'wealth', 'is', 'disbursed', 'by', 'a', 'homogeneous', 'process', 'at', 'short', 'times', 'we', 'recover', 'the', 'pareto', 'law', 'observed', 'for', 'an', 'unbounded', 'number', 'of', 'agents', 'in', 'later', 'times', 'the', 'moving', 'distribution', 'can', 'be', 'scaled', 'to', 'reveal', 'a', 'phase', 'transition', 'with', 'a', 'gaussian', 'asymptotic', 'form', 'for', 'r', '12', 'and', 'a', 'paretolike', 'tail', 'on', 'the', 'positive', 'side', 'and', 'a', 'novel', 'stretched', 'exponential', 'decay', 'on', 'the', 'negative', 'side', 'for', 'r', '12']] | [-0.11128748830069775, 0.13090530258361394, -0.10926431597031858, 0.09362984342667864, -0.05640006834347669, -0.14960713781359006, 0.06434967022206577, 0.35197069822018806, -0.28914992954607494, -0.29418766974433236, 0.11872603824802304, -0.2887344944278059, -0.08286809712992854, 0.1516709846774537, -0.024844323511375752, 0.036434740893389675, -0.04024553444230138, 0.058640397726302994, 0.020725415094216573, -0.24280301659233025, 0.2739908267290982, 0.07102589415743539, 0.2571729125824999, 0.018362679773916122, 0.08647511335574601, -0.020798966094009476, -0.02294410213793003, 0.016866830707055656, -0.13644270300135583, 0.05502808826962766, 0.19433652959151626, 0.09352716867339937, 0.3100398714233139, -0.4226850084258779, -0.18599602002140186, 0.15006814337469485, 0.1691313073109223, 0.06224174189942647, -0.03818287689490754, -0.21909622002348356, 0.08339505786357658, -0.18905013098554088, -0.17397757322680563, -0.010746237764466707, 0.05391906708325833, 0.08220768184241622, -0.3097799303239747, 0.07381761700476278, 0.0510123094092506, 0.0379128057082273, -0.03566336190831937, -0.11168986473426666, -0.0002517670357906043, 0.12264489703444917, 0.09871821571121547, 0.013702920565464571, 0.11868687157123668, -0.13675721545308217, -0.08157679219156096, 0.33802582919342467, -0.06150413451920429, -0.16409397581974938, 0.19348717840669089, -0.17573162000817694, -0.08682885868092106, 0.14736177754183363, 0.18474401606163904, 0.11731319488704958, -0.11074784704267163, 0.060245689379421305, -0.04396624066739356, 0.16168722077846936, 0.05599764603419765, 0.023751594617401492, 0.19663879023354552, 0.13420544525772676, 0.06355464033908466, 0.12582806642534058, -0.07604592665710984, -0.15632122902403753, -0.3085538811267239, -0.13042106402859296, -0.21671615867582086, 0.07885864488174502, -0.14329827832311634, -0.16257510113861565, 0.35442303369070516, 0.06974890947577939, 0.2603477162296233, 0.11631529005435742, 0.25413410323321156, 0.13431547803896773, 0.04676608335583994, 0.08451453653699041, 0.1557957688442189, 0.07012080150370946, 0.11294543456959168, -0.18530577144981042, 0.14252473609298721, 0.005069448335147272] |
712.2221 | Collisions with Black Holes and Deconfined Plasmas | We use AdS/CFT to investigate i) high energy collisions with balls of
deconfined plasma surrounded by a confining phase and ii) the rapid localized
heating of a deconfined plasma. Both of these processes are dual to collisions
with black holes, where they result in the nucleation of a new "arm" of the
horizon reaching out in the direction of the incident object. We study the
resulting non-equilibrium dynamics in a universal limit of the gravitational
physics which may indicate universal behavior of deconfined plasmas at large
N_c. Process (i) produces "virtual" arms of the plasma ball, while process (ii)
can nucleate surprisingly large bubbles of a higher temperature phase.
| hep-th gr-qc | we use adscft to investigate i high energy collisions with balls of deconfined plasma surrounded by a confining phase and ii the rapid localized heating of a deconfined plasma both of these processes are dual to collisions with black holes where they result in the nucleation of a new arm of the horizon reaching out in the direction of the incident object we study the resulting nonequilibrium dynamics in a universal limit of the gravitational physics which may indicate universal behavior of deconfined plasmas at large n_c process i produces virtual arms of the plasma ball while process ii can nucleate surprisingly large bubbles of a higher temperature phase | [['we', 'use', 'adscft', 'to', 'investigate', 'i', 'high', 'energy', 'collisions', 'with', 'balls', 'of', 'deconfined', 'plasma', 'surrounded', 'by', 'a', 'confining', 'phase', 'and', 'ii', 'the', 'rapid', 'localized', 'heating', 'of', 'a', 'deconfined', 'plasma', 'both', 'of', 'these', 'processes', 'are', 'dual', 'to', 'collisions', 'with', 'black', 'holes', 'where', 'they', 'result', 'in', 'the', 'nucleation', 'of', 'a', 'new', 'arm', 'of', 'the', 'horizon', 'reaching', 'out', 'in', 'the', 'direction', 'of', 'the', 'incident', 'object', 'we', 'study', 'the', 'resulting', 'nonequilibrium', 'dynamics', 'in', 'a', 'universal', 'limit', 'of', 'the', 'gravitational', 'physics', 'which', 'may', 'indicate', 'universal', 'behavior', 'of', 'deconfined', 'plasmas', 'at', 'large', 'n_c', 'process', 'i', 'produces', 'virtual', 'arms', 'of', 'the', 'plasma', 'ball', 'while', 'process', 'ii', 'can', 'nucleate', 'surprisingly', 'large', 'bubbles', 'of', 'a', 'higher', 'temperature', 'phase']] | [-0.11985950706603535, 0.24913621922835297, -0.11896576942585477, 0.04990311689187432, -0.009884695800175087, -0.10410765441852289, 0.052060288676154726, 0.3373510207160624, -0.20862856545750427, -0.2677281012228869, 0.04742827631827922, -0.2805250715977008, -0.029181389992526913, 0.1179516825722445, -0.020899408693433902, 0.015955000743056315, 0.010637163158950455, -0.004512227054924593, -0.04277106263106603, -0.18704797536852436, 0.30903105855141894, 0.07732074111358288, 0.2632757837482549, 0.09420423505298041, 0.07809066147449503, -0.047288798344740215, 0.02115999903623869, 0.057543436488256265, -0.12972990088199518, 0.02692879520734738, 0.23536629240037105, 0.054978299076421135, 0.23084893062232284, -0.4757768736656653, -0.2257104051820592, 0.06872720764351821, 0.18442777256959828, 0.1265480474690659, -0.08307279666048398, -0.25054903707783155, 0.03277151191333702, -0.16958305729364395, -0.19279607772214233, -0.004467640230175826, 0.04554342970875767, 0.030512895319213525, -0.2706584686567204, 0.09290152034559927, 0.06080047690113066, -0.01870027646943585, -0.022769128231154415, -0.038828965895937394, -0.04429100165698985, 0.06022506028225799, 0.06055075277461149, 0.07243405506997412, 0.24173799093488021, -0.22042627986349644, -0.09055124869604313, 0.37238922563526744, -0.03821147321146665, -0.0694706464408461, 0.24446127525052277, -0.2695541609326429, -0.09470035653527177, 0.20168358812091547, 0.1942621765085795, 0.1462729834660956, -0.10808434771158126, 0.05038087542645138, -0.009304452183391524, 0.1053620725293396, 0.08764695232187253, 0.05428914979544528, 0.32579907418630266, 0.18097540738975304, -0.004188052848528284, 0.1831376205172834, -0.08314505687150078, -0.12848925799421898, -0.3733233266398994, -0.1453514310804734, -0.1563576914438414, 0.026756871282336635, -0.12836046989805838, -0.20080095820487776, 0.31900720731910626, 0.11434500396930945, 0.2162699075607976, -0.040491054666553276, 0.2163481075898277, 0.08102793348290949, 0.02155352861902446, 0.1238575190382608, 0.2746790181717263, 0.10904555832924441, 0.14788273563224036, -0.2673078104170091, -0.025103324357595897, 0.07413440356201945] |
712.2222 | Geometry as an object of experience: Kant and the missed debate between
Poincar\'e and Einstein | Poincar\'e held the view that geometry is a convention and cannot be tested
experimentally. This position was apparently refuted by the general theory of
relativity and the successful confirmation of its predictions; unfortunately,
Poincar\'e did not live to defend his thesis. In this paper, I argue that: 1)
Contrary to what many authors have claimed, non-euclidean geometries do not
rule out Kant's thesis that space is a form of intuition given {\it a priori};
on the contrary, Euclidean geometry is the condition for the possibility of any
more general geometry. 2) The conception of space-time as a Riemannian manifold
is an extremely ingenious way to describe the gravitational field, but, as
shown by Utiyama in 1956, general relativity is actually the gauge theory
associated to the Lorentz group. Utiyama's approach does not rely on the
assumption that space-time is curved, though the equations of the gauge theory
are identical to those of general relativity. Thus, following Poincar\'e, it
can be claimed that it is only a matter of convention to describe the
gravitational field as a Riemannian manifold or as a gauge field in Euclidean
space.
| physics.hist-ph physics.gen-ph | poincare held the view that geometry is a convention and cannot be tested experimentally this position was apparently refuted by the general theory of relativity and the successful confirmation of its predictions unfortunately poincare did not live to defend his thesis in this paper i argue that 1 contrary to what many authors have claimed noneuclidean geometries do not rule out kants thesis that space is a form of intuition given it a priori on the contrary euclidean geometry is the condition for the possibility of any more general geometry 2 the conception of spacetime as a riemannian manifold is an extremely ingenious way to describe the gravitational field but as shown by utiyama in 1956 general relativity is actually the gauge theory associated to the lorentz group utiyamas approach does not rely on the assumption that spacetime is curved though the equations of the gauge theory are identical to those of general relativity thus following poincare it can be claimed that it is only a matter of convention to describe the gravitational field as a riemannian manifold or as a gauge field in euclidean space | [['poincare', 'held', 'the', 'view', 'that', 'geometry', 'is', 'a', 'convention', 'and', 'can', 'not', 'be', 'tested', 'experimentally', 'this', 'position', 'was', 'apparently', 'refuted', 'by', 'the', 'general', 'theory', 'of', 'relativity', 'and', 'the', 'successful', 'confirmation', 'of', 'its', 'predictions', 'unfortunately', 'poincare', 'did', 'not', 'live', 'to', 'defend', 'his', 'thesis', 'in', 'this', 'paper', 'i', 'argue', 'that', '1', 'contrary', 'to', 'what', 'many', 'authors', 'have', 'claimed', 'noneuclidean', 'geometries', 'do', 'not', 'rule', 'out', 'kants', 'thesis', 'that', 'space', 'is', 'a', 'form', 'of', 'intuition', 'given', 'it', 'a', 'priori', 'on', 'the', 'contrary', 'euclidean', 'geometry', 'is', 'the', 'condition', 'for', 'the', 'possibility', 'of', 'any', 'more', 'general', 'geometry', '2', 'the', 'conception', 'of', 'spacetime', 'as', 'a', 'riemannian', 'manifold', 'is', 'an', 'extremely', 'ingenious', 'way', 'to', 'describe', 'the', 'gravitational', 'field', 'but', 'as', 'shown', 'by', 'utiyama', 'in', '1956', 'general', 'relativity', 'is', 'actually', 'the', 'gauge', 'theory', 'associated', 'to', 'the', 'lorentz', 'group', 'utiyamas', 'approach', 'does', 'not', 'rely', 'on', 'the', 'assumption', 'that', 'spacetime', 'is', 'curved', 'though', 'the', 'equations', 'of', 'the', 'gauge', 'theory', 'are', 'identical', 'to', 'those', 'of', 'general', 'relativity', 'thus', 'following', 'poincare', 'it', 'can', 'be', 'claimed', 'that', 'it', 'is', 'only', 'a', 'matter', 'of', 'convention', 'to', 'describe', 'the', 'gravitational', 'field', 'as', 'a', 'riemannian', 'manifold', 'or', 'as', 'a', 'gauge', 'field', 'in', 'euclidean', 'space']] | [-0.1118900255439554, 0.10811953156955234, -0.17246323641648587, 0.11712648815296112, -0.16092666415846285, -0.16520329240590015, -0.014233140273637233, 0.3366526825064644, -0.1956535714509135, -0.28942385874688625, 0.09541895588234883, -0.2105955822034714, -0.19695185150647346, 0.16394432114479554, -0.13968600645501983, -0.01578805852901778, 0.014242495826002271, 0.08728326860078198, -0.0789510312248619, -0.27609843645932125, 0.3554439411478685, 0.08146035786528877, 0.2647936972278982, 0.014461209601598149, 0.09459714350081422, -0.005302682899954644, -0.011911010651047377, 0.06621224930750226, -0.07815397848263239, 0.08799377726241547, 0.228782976989978, 0.14840719007070172, 0.25515314742404827, -0.4285209555537465, -0.23294263696646628, 0.10451919653945986, 0.11992712720561234, 0.1427059964884451, -0.012095176925235877, -0.2929116779325759, 0.05113796535493398, -0.13276538298774093, -0.18007781528332395, -0.06775622497646407, 0.04397024059690595, -0.08340444691718261, -0.18381730954904846, 0.028033723084151467, 0.1082682418462666, 0.038901581115183985, -0.03911938290871222, -0.03745434448847617, 0.0014675157279095844, 0.05660109814221567, 0.09062456078628167, 0.1076591656105045, 0.1318834440752784, -0.08088966107797774, -0.12349213865949189, 0.43533099255957863, -0.02898362714717573, -0.26318469419228757, 0.1630083177136606, -0.17340425883026364, -0.14946929144580914, 0.08495015583006058, 0.10204857685179873, 0.14129075762581697, -0.1536912288277704, 0.1570957923358752, -0.09373384462246163, 0.14270277421941413, 0.08524703069087018, -0.01643881234240763, 0.2130448996477865, 0.06334121042693203, 0.059391524664806156, 0.008055309497347889, 0.005574867883535292, -0.1140516259686344, -0.3784871691822966, -0.18238362212750045, -0.19668143666299548, 0.12119891065114333, -0.04404834240851152, -0.1593004280412109, 0.30182733706367965, 0.13603622484752997, 0.12314421876537848, 0.03296647845508461, 0.23687451218259845, 0.06873025495763171, 0.06795635846577944, 0.06088692491455751, 0.324788277532985, 0.1389013263994559, 0.10934846871158975, -0.13075224648573422, 0.03151130407082445, 0.09451473214075885] |
712.2223 | Entanglement-Assisted Quantum Convolutional Coding | We show how to protect a stream of quantum information from decoherence
induced by a noisy quantum communication channel. We exploit preshared
entanglement and a convolutional coding structure to develop a theory of
entanglement-assisted quantum convolutional coding. Our construction produces a
Calderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional code
from two arbitrary classical binary convolutional codes. The rate and
error-correcting properties of the classical convolutional codes directly
determine the corresponding properties of the resulting entanglement-assisted
quantum convolutional code. We explain how to encode our CSS
entanglement-assisted quantum convolutional codes starting from a stream of
information qubits, ancilla qubits, and shared entangled bits.
| quant-ph cs.IT math.IT | we show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel we exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglementassisted quantum convolutional coding our construction produces a calderbankshorsteane css entanglementassisted quantum convolutional code from two arbitrary classical binary convolutional codes the rate and errorcorrecting properties of the classical convolutional codes directly determine the corresponding properties of the resulting entanglementassisted quantum convolutional code we explain how to encode our css entanglementassisted quantum convolutional codes starting from a stream of information qubits ancilla qubits and shared entangled bits | [['we', 'show', 'how', 'to', 'protect', 'a', 'stream', 'of', 'quantum', 'information', 'from', 'decoherence', 'induced', 'by', 'a', 'noisy', 'quantum', 'communication', 'channel', 'we', 'exploit', 'preshared', 'entanglement', 'and', 'a', 'convolutional', 'coding', 'structure', 'to', 'develop', 'a', 'theory', 'of', 'entanglementassisted', 'quantum', 'convolutional', 'coding', 'our', 'construction', 'produces', 'a', 'calderbankshorsteane', 'css', 'entanglementassisted', 'quantum', 'convolutional', 'code', 'from', 'two', 'arbitrary', 'classical', 'binary', 'convolutional', 'codes', 'the', 'rate', 'and', 'errorcorrecting', 'properties', 'of', 'the', 'classical', 'convolutional', 'codes', 'directly', 'determine', 'the', 'corresponding', 'properties', 'of', 'the', 'resulting', 'entanglementassisted', 'quantum', 'convolutional', 'code', 'we', 'explain', 'how', 'to', 'encode', 'our', 'css', 'entanglementassisted', 'quantum', 'convolutional', 'codes', 'starting', 'from', 'a', 'stream', 'of', 'information', 'qubits', 'ancilla', 'qubits', 'and', 'shared', 'entangled', 'bits']] | [-0.1825833842670545, 0.12003462660009973, -0.12100025770254433, 0.09094728547905107, 0.021142492061480878, -0.3758003912307322, 0.07040247278637253, 0.360711691910401, -0.37218322679400445, -0.22923985905945302, 0.032949946054723116, -0.2516258913744241, -0.20359132496174426, 0.1689619036205113, -0.17183958697132767, 0.17615387719124556, 0.1353067370923236, 0.04384115473832935, -0.1491452430281788, -0.3250027396553196, 0.3102178297983482, 0.12341979294316843, 0.3046379446983337, -0.05552981371758506, 0.1285329053644091, -0.006247892864048481, -0.03796383910346776, -0.14102432476356624, -0.13245239958632737, 0.18510889027267693, 0.35657300040125844, 0.21442998240701855, 0.20700278355041518, -0.4480159866530448, -0.3025803889494273, 0.005498206891352311, 0.10707253792788833, 0.3431752049620263, -0.041906265835277734, -0.3298961358948145, 0.08901030965149402, -0.2811395045137033, 0.08179345191922038, -0.039186516227200624, -0.09869331231340767, -0.07517563900561072, -0.2476086606719764, -0.011530527966096998, 0.09330422428436577, 0.03131651501171291, 0.07289119392633438, -0.004631138257682323, 0.06101853382308036, 0.21159574537014122, -0.17680038239108398, 0.07271664127940312, 0.15928265446331352, -0.13556941996328534, -0.22866523627191782, 0.2508939152304083, -0.02100321417208761, -0.18740020083263517, 0.09856885390880052, 0.0034825054882094263, -0.09808578705997206, 0.05139275759458542, 0.21994596344418824, 0.06717560213990509, -0.11293317765987013, 0.043912932666135024, -0.04722425262443721, 0.2882361836079508, 0.08666455865371972, 0.27501683675218375, 0.1985077840462327, 0.029665046802256255, -0.011641004672273993, 0.28520922670140864, -0.11979095300659537, -0.18540299065411092, -0.2643785190582275, -0.14051738882699283, -0.27240987392142413, 0.15321352077182382, -0.12153128895864938, -0.15597944582113996, 0.40005157547071574, 0.1610690202040132, 0.10481123809702694, 0.13407134170643986, 0.33989806989440696, -0.055909877035301175, 0.16726642390713095, 0.2616410257667303, 0.16013205498456956, 0.26879935700213536, 0.0018128097429871558, -0.24735619684914126, 0.034173789178021254, 0.11714036839082836] |
712.2224 | Goldstone Bosons and Global Strings in a Warped Resolved Conifold | A warped resolved conifold background of type IIB theory, constructed in
hep-th/0701064, is dual to the supersymmetric $SU(N)\times SU(N)$ gauge theory
with a vacuum expectation value (VEV) for one of the bifundamental chiral
superfields. This VEV breaks both the superconformal invariance and the
baryonic symmetry. The absolute value of the VEV controls the resolution
parameter of the conifold. In this paper we study the phase of the VEV, which
corresponds to the Goldstone boson of the broken symmetry. We explicitly
construct the linearized perturbation of the 4-form R-R potential that contains
the Goldstone boson. On general grounds, the theory should contain global
strings which create a monodromy of the pseudoscalar Goldstone boson field. We
identify these strings with the $D3$-branes wrapping the two-cycle at the tip
of the warped resolved conifold.
| hep-th | a warped resolved conifold background of type iib theory constructed in hepth0701064 is dual to the supersymmetric suntimes sun gauge theory with a vacuum expectation value vev for one of the bifundamental chiral superfields this vev breaks both the superconformal invariance and the baryonic symmetry the absolute value of the vev controls the resolution parameter of the conifold in this paper we study the phase of the vev which corresponds to the goldstone boson of the broken symmetry we explicitly construct the linearized perturbation of the 4form rr potential that contains the goldstone boson on general grounds the theory should contain global strings which create a monodromy of the pseudoscalar goldstone boson field we identify these strings with the d3branes wrapping the twocycle at the tip of the warped resolved conifold | [['a', 'warped', 'resolved', 'conifold', 'background', 'of', 'type', 'iib', 'theory', 'constructed', 'in', 'hepth0701064', 'is', 'dual', 'to', 'the', 'supersymmetric', 'suntimes', 'sun', 'gauge', 'theory', 'with', 'a', 'vacuum', 'expectation', 'value', 'vev', 'for', 'one', 'of', 'the', 'bifundamental', 'chiral', 'superfields', 'this', 'vev', 'breaks', 'both', 'the', 'superconformal', 'invariance', 'and', 'the', 'baryonic', 'symmetry', 'the', 'absolute', 'value', 'of', 'the', 'vev', 'controls', 'the', 'resolution', 'parameter', 'of', 'the', 'conifold', 'in', 'this', 'paper', 'we', 'study', 'the', 'phase', 'of', 'the', 'vev', 'which', 'corresponds', 'to', 'the', 'goldstone', 'boson', 'of', 'the', 'broken', 'symmetry', 'we', 'explicitly', 'construct', 'the', 'linearized', 'perturbation', 'of', 'the', '4form', 'rr', 'potential', 'that', 'contains', 'the', 'goldstone', 'boson', 'on', 'general', 'grounds', 'the', 'theory', 'should', 'contain', 'global', 'strings', 'which', 'create', 'a', 'monodromy', 'of', 'the', 'pseudoscalar', 'goldstone', 'boson', 'field', 'we', 'identify', 'these', 'strings', 'with', 'the', 'd3branes', 'wrapping', 'the', 'twocycle', 'at', 'the', 'tip', 'of', 'the', 'warped', 'resolved', 'conifold']] | [-0.1853744425989974, 0.20327349065292555, -0.0859470023949353, 0.11783632869885947, -0.136428300713977, -0.13578500158440035, -0.00641980915545271, 0.28254018033353184, -0.17395431176633933, -0.23450697167561604, 0.08609798353953431, -0.23449674694297407, -0.11363278684707788, -0.001470406714361161, -0.04762008478148626, -0.006287341437732371, -0.05333693922371962, 0.06323068318172143, -0.09228380838086685, -0.25525478524370837, 0.3631622615037486, -0.031038169999821827, 0.2670961170743864, 0.01607154275379099, 0.11397107335416456, -0.014889499354355323, 0.024390454654796764, -0.0676236419412397, -0.12085557818018759, 0.11166533515519964, 0.16968044394698853, 0.03680937943192056, 0.09685283715908344, -0.40520352206837673, -0.16027924766083462, 0.14173450808828839, 0.18051807169730846, 0.16626285378498815, -0.010591231856960804, -0.34074099412044656, 0.06707420547340567, -0.1325596526515885, -0.20681060790173852, -0.06101453435392334, -0.04274679572733406, -0.16846376640829616, -0.2560232577487253, 0.09163106403385217, -0.06662328241822811, 0.056409545473826046, -0.04999724077060819, -0.06831480825069146, -0.1561533836576228, 0.03765200909871894, 0.2062847889529971, 0.08770486228033686, 0.16287664501533772, -0.24731943429102943, -0.11043648962692644, 0.36799624386745006, -0.10186209231615066, -0.1767472024809999, 0.058399915838470824, -0.13954832250109087, -0.19379431103857664, 0.12302007024319699, 0.07776246108114719, 0.1696237941344197, -0.09985506775287481, 0.24464573593622146, -0.04808191927149892, 0.15195557920871158, 0.10086781154028499, 0.050030850195057264, 0.31448835271339004, 0.09612382171818844, 0.04571645338661395, 0.10030966702705392, -0.06965709019031448, -0.11221904650043983, -0.5086709464112154, -0.12922269178805157, -0.10125986465181296, 0.14021465124813123, -0.15989902181844137, -0.18711813723381895, 0.42224568918060795, 0.10288668820688214, 0.2035694892804783, 0.036000575850574444, 0.2084419206286279, 0.09841016126223481, 0.12718332775223715, 0.015368371226269608, 0.314048130165499, 0.17808934421672556, 0.09595315340691461, -0.29240263117916093, -0.21488508433103562, 0.21465423387439492] |
712.2225 | How to Enhance Dephasing Time in Superconducting Qubits | We theoretically investigate the influence of designed pulse sequences in
restoring quantum coherence lost due to background noise in superconducting
qubits. We consider both 1/f noise and Random Telegraph Noise, and show that
the qubit coherence time can be substantially enhanced by carefully engineered
pulse sequences. Conversely, the time dependence of qubit coherence under
external pulse sequences could be used as a spectroscopic tool for extracting
the noise mechanisms in superconducting qubits, i.e. by using Uhrig's pulse
sequence one can obtain information about moments of the spectral density of
noise. We also study the effect of pulse sequences on the evolution of the
qubit affected by a strongly coupled fluctuator, and show that the non-Gaussian
features in decoherence are suppressed by the application of pulses.
| cond-mat.mes-hall cond-mat.supr-con quant-ph | we theoretically investigate the influence of designed pulse sequences in restoring quantum coherence lost due to background noise in superconducting qubits we consider both 1f noise and random telegraph noise and show that the qubit coherence time can be substantially enhanced by carefully engineered pulse sequences conversely the time dependence of qubit coherence under external pulse sequences could be used as a spectroscopic tool for extracting the noise mechanisms in superconducting qubits ie by using uhrigs pulse sequence one can obtain information about moments of the spectral density of noise we also study the effect of pulse sequences on the evolution of the qubit affected by a strongly coupled fluctuator and show that the nongaussian features in decoherence are suppressed by the application of pulses | [['we', 'theoretically', 'investigate', 'the', 'influence', 'of', 'designed', 'pulse', 'sequences', 'in', 'restoring', 'quantum', 'coherence', 'lost', 'due', 'to', 'background', 'noise', 'in', 'superconducting', 'qubits', 'we', 'consider', 'both', '1f', 'noise', 'and', 'random', 'telegraph', 'noise', 'and', 'show', 'that', 'the', 'qubit', 'coherence', 'time', 'can', 'be', 'substantially', 'enhanced', 'by', 'carefully', 'engineered', 'pulse', 'sequences', 'conversely', 'the', 'time', 'dependence', 'of', 'qubit', 'coherence', 'under', 'external', 'pulse', 'sequences', 'could', 'be', 'used', 'as', 'a', 'spectroscopic', 'tool', 'for', 'extracting', 'the', 'noise', 'mechanisms', 'in', 'superconducting', 'qubits', 'ie', 'by', 'using', 'uhrigs', 'pulse', 'sequence', 'one', 'can', 'obtain', 'information', 'about', 'moments', 'of', 'the', 'spectral', 'density', 'of', 'noise', 'we', 'also', 'study', 'the', 'effect', 'of', 'pulse', 'sequences', 'on', 'the', 'evolution', 'of', 'the', 'qubit', 'affected', 'by', 'a', 'strongly', 'coupled', 'fluctuator', 'and', 'show', 'that', 'the', 'nongaussian', 'features', 'in', 'decoherence', 'are', 'suppressed', 'by', 'the', 'application', 'of', 'pulses']] | [-0.15816840949840844, 0.22693568590283394, -0.06359279769472778, 0.09620675059128553, 0.051296311542391775, -0.1662732064574957, 0.04245307645108551, 0.4392061991468072, -0.2642331754490733, -0.29615207749232647, 0.06669091223925352, -0.24928506900556385, -0.11793028699606657, 0.21995292775332928, -0.06804799302946776, 0.06566092667821795, 0.05834281369205564, 0.008167900372296573, -0.03842012115565012, -0.2408229049835354, 0.32284969405829905, 0.059507664966396985, 0.29637971132993696, -0.026589999491814523, 0.09520630270242691, 0.006028996888548136, -8.531601773574948e-05, -0.03778447480499744, -0.07293948691396508, 0.030169923454523087, 0.22159376529417932, 0.06749667422100901, 0.2314927369877696, -0.46376620018482206, -0.25033430907130244, 0.09188202703837306, 0.1563220425210893, 0.18540756660699845, -0.039145252614282075, -0.3520212258696556, 0.057915859239175915, -0.1111021391255781, -0.04743315765773878, -0.1037367710378021, -0.0013636229261755944, 0.07932866822741926, -0.2589992354288697, 0.08562196974246762, 0.12491142828762532, 0.025347164191305636, 0.022326047957874833, -0.024967407293617724, 0.027902245856821536, 0.11593331327987835, 0.0025856766225770115, -0.005299620698206126, 0.20910220696777104, -0.1170172209800221, -0.11071145172417164, 0.294250695630908, -0.13795128766261042, -0.17454585851728915, 0.08445636555179954, -0.15235881887935102, -0.06300043202750384, 0.12469570349901915, 0.12760143606178462, 0.07164341972023248, -0.17721844329684971, 0.020638279866892845, 0.10224679811578244, 0.27484605863690376, 0.10785846322402358, 0.18193437426537276, 0.18787249537371098, 0.14681962714344263, 0.07563781001465394, 0.23002550654672085, -0.11715578173659742, -0.03815188533812761, -0.24018194460123776, -0.0775828313678503, -0.23021227783709763, 0.11613261267915367, -0.069741597368964, -0.11011336248368025, 0.4456715937592089, 0.19386878456361592, 0.13714762592688204, -0.020542679950594903, 0.28599609361588957, 0.16310037920530884, 0.025537306487560273, 0.01024448717199266, 0.1874236582815647, 0.19863709036260843, 0.06444259990938007, -0.34363072136789563, 0.08298799234628677, -0.042850504791364076] |
712.2226 | Quadrupole Effect on the Heat Conductivity of Cold Glasses | At very low temperatures, the tunnelling theory for amorphous solids predicts
a thermal conductivity $\kappa\propto T^p$, with $p = 2$. We have studied the
effect of the Nuclear Quadrupole moment on the thermal conductivity of glasses
at very low temperatures. We developed a theory that couples the tunnelling
motion to the nuclear quadrupoles moment in order to evaluate the thermal
conductivity. Our result suggests a cross over between two different regimes at
the temperature close to the nuclear quadrupoles energy. Below this temperature
we have shown that the thermal conductivity is larger than the standard
tunneling result and therefore we have $p < 2$. However, for temperatures
higher than the nuclear quadrupoles energy, the result of standard tunnelling
model has been found.
| cond-mat.dis-nn | at very low temperatures the tunnelling theory for amorphous solids predicts a thermal conductivity kappapropto tp with p 2 we have studied the effect of the nuclear quadrupole moment on the thermal conductivity of glasses at very low temperatures we developed a theory that couples the tunnelling motion to the nuclear quadrupoles moment in order to evaluate the thermal conductivity our result suggests a cross over between two different regimes at the temperature close to the nuclear quadrupoles energy below this temperature we have shown that the thermal conductivity is larger than the standard tunneling result and therefore we have p 2 however for temperatures higher than the nuclear quadrupoles energy the result of standard tunnelling model has been found | [['at', 'very', 'low', 'temperatures', 'the', 'tunnelling', 'theory', 'for', 'amorphous', 'solids', 'predicts', 'a', 'thermal', 'conductivity', 'kappapropto', 'tp', 'with', 'p', '2', 'we', 'have', 'studied', 'the', 'effect', 'of', 'the', 'nuclear', 'quadrupole', 'moment', 'on', 'the', 'thermal', 'conductivity', 'of', 'glasses', 'at', 'very', 'low', 'temperatures', 'we', 'developed', 'a', 'theory', 'that', 'couples', 'the', 'tunnelling', 'motion', 'to', 'the', 'nuclear', 'quadrupoles', 'moment', 'in', 'order', 'to', 'evaluate', 'the', 'thermal', 'conductivity', 'our', 'result', 'suggests', 'a', 'cross', 'over', 'between', 'two', 'different', 'regimes', 'at', 'the', 'temperature', 'close', 'to', 'the', 'nuclear', 'quadrupoles', 'energy', 'below', 'this', 'temperature', 'we', 'have', 'shown', 'that', 'the', 'thermal', 'conductivity', 'is', 'larger', 'than', 'the', 'standard', 'tunneling', 'result', 'and', 'therefore', 'we', 'have', 'p', '2', 'however', 'for', 'temperatures', 'higher', 'than', 'the', 'nuclear', 'quadrupoles', 'energy', 'the', 'result', 'of', 'standard', 'tunnelling', 'model', 'has', 'been', 'found']] | [-0.08012018388350649, 0.2158428194874432, -0.0852315718618532, 0.05388888838448717, 0.031376419942049934, -0.11001242980128154, 0.013294655040954239, 0.35795683690036334, -0.22217082952459652, -0.30343868310252825, 0.0077609293269536766, -0.314385864045471, -0.046634642935593246, 0.20091216318736163, 0.028363309420334794, 0.0009960114412630597, -0.054591220875348276, 0.06828209597588283, -0.08940874024992809, -0.20606160069971036, 0.27327536993349594, 0.08166246932620803, 0.27889463456037145, 0.14497277192228164, 0.06807265790800253, -0.012138478737324477, 0.09579553332490226, 0.06247814801948456, -0.1667284497415191, 0.019578096621747438, 0.24644968784996307, -0.08746975416433997, 0.1776122166387116, -0.4421137382276356, -0.21481100897459934, 0.09074548261317734, 0.060514547396451235, 0.14510139845854914, -0.05040031003785164, -0.17411662386730314, 0.07450388895813376, -0.17863706055407721, -0.12542031411236773, -0.10960667476368448, 0.03849409331063119, -0.04038180539403887, -0.2446199435275048, 0.1341030401720976, 0.059352446593887484, 0.05124495609973868, -0.10676165423744048, -0.20636532614395645, -0.015040508589784925, 0.04374045906200384, 0.059940023833769375, 0.03487505768037712, 0.196400149158823, -0.11225688512925748, -0.06683086836710572, 0.36889997116910916, -0.07046892035505152, -0.06940427102769414, 0.2105460442757855, -0.24363867902041722, -0.08763655880660129, 0.19682080738712102, 0.10953561924397945, 0.12095639144536108, -0.14489448855941495, 0.053841659919514014, 0.0397392535271744, 0.15196464253434291, 0.08982807086625447, 0.022272753773722797, 0.249896003472774, 0.18645032764955735, 0.016873621201375498, 0.10886833042216798, -0.15909023183048704, -0.0451352531905286, -0.2203815828077495, -0.11206494390886898, -0.2156868759309873, 0.07467316304488729, -0.08147665631246734, -0.12578445534139368, 0.3609655653359368, 0.17107415459274003, 0.18709998858782154, 0.02395774097337077, 0.3059092689206712, 0.1558936871093465, 0.10167616646407017, 0.06541014056808005, 0.31056048926742125, 0.18981593710680802, 0.15210371590898528, -0.29513171161330926, 0.036076567178436866, 0.011907512950710953] |
712.2227 | On the cuspidality of pullbacks of Siegel Eisenstein series and
applications to the Bloch-Kato conjecture | Let $k > 3$ be an integer and $p$ a prime with $p > 2k-2$. Let $f$ be a
newform of weight $2k-2$ and level 1 so that $f$ is ordinary at $p$ and
$\bar{\rho}_{f}$ is irreducible. Under some additional hypotheses we prove that
$ord_{p}(L_{alg}(k,f)) \leq ord_{p}(# S)$ where $S$ is the Pontryagin dual of
the Selmer group associated to $\rho_{f} \otimes \epsilon^{1-k}$ with
$\epsilon$ the $p$-adic cyclotomic character. We accomplish this by first
constructing a congruence between the Saito-Kurokawa lift of $f$ and a non-CAP
Siegel cusp form. Once this congruence is established, we use Galois
representations to obtain the lower bound on the Selmer group.
| math.NT | let k 3 be an integer and p a prime with p 2k2 let f be a newform of weight 2k2 and level 1 so that f is ordinary at p and barrho_f is irreducible under some additional hypotheses we prove that ord_pl_algkf leq ord_p s where s is the pontryagin dual of the selmer group associated to rho_f otimes epsilon1k with epsilon the padic cyclotomic character we accomplish this by first constructing a congruence between the saitokurokawa lift of f and a noncap siegel cusp form once this congruence is established we use galois representations to obtain the lower bound on the selmer group | [['let', 'k', '3', 'be', 'an', 'integer', 'and', 'p', 'a', 'prime', 'with', 'p', '2k2', 'let', 'f', 'be', 'a', 'newform', 'of', 'weight', '2k2', 'and', 'level', '1', 'so', 'that', 'f', 'is', 'ordinary', 'at', 'p', 'and', 'barrho_f', 'is', 'irreducible', 'under', 'some', 'additional', 'hypotheses', 'we', 'prove', 'that', 'ord_pl_algkf', 'leq', 'ord_p', 's', 'where', 's', 'is', 'the', 'pontryagin', 'dual', 'of', 'the', 'selmer', 'group', 'associated', 'to', 'rho_f', 'otimes', 'epsilon1k', 'with', 'epsilon', 'the', 'padic', 'cyclotomic', 'character', 'we', 'accomplish', 'this', 'by', 'first', 'constructing', 'a', 'congruence', 'between', 'the', 'saitokurokawa', 'lift', 'of', 'f', 'and', 'a', 'noncap', 'siegel', 'cusp', 'form', 'once', 'this', 'congruence', 'is', 'established', 'we', 'use', 'galois', 'representations', 'to', 'obtain', 'the', 'lower', 'bound', 'on', 'the', 'selmer', 'group']] | [-0.25145440267417396, 0.12539530724720996, -0.14508677942051304, 0.02442589358629493, -0.12635584125332167, -0.19765615348916243, 0.009527403178929103, 0.267445509534071, -0.3503064627915916, -0.2595910624333537, 0.027669121723363894, -0.25396977813158295, -0.11574602863603815, 0.16395130795933824, -0.07960765844782686, -0.03615481230559399, -0.01975114619829646, 0.1956450687260321, -0.08540051407411252, -0.32655340794584536, 0.37313606824246376, -0.0408622195925748, 0.14607005425277028, 0.0198134527890943, 0.07203828755507966, -0.001122771614775209, 0.08875148535918186, -0.11478600940104611, -0.1859716028397232, 0.14290187459918532, 0.3461123275395372, 0.05820559881544571, 0.2721318810438221, -0.3551706987350146, -0.09121926562943597, 0.26763842339710436, 0.11249432248054164, -0.09431718253890181, 0.027331356347612298, -0.22202346675411458, 0.20125499372785488, -0.1365140729611463, -0.13466207078187772, -0.0762620172786093, 0.11564771950447766, -0.025912626703514137, -0.3522382265528535, -0.005603690719287289, 0.10115996575776008, 0.17900383335049494, -0.04953074395555154, -0.1923932121965186, -0.03120086598440562, 0.015050927983910436, -0.0047135645486783275, 0.13202034847696753, 0.03527597811460347, -0.10870411670259615, -0.07255130029274243, 0.35160016037044256, -0.08940959099385112, -0.1872480086392105, 0.0807213122785866, -0.21490147309078106, -0.19602574663476482, 0.11196303572321292, 0.07814139779196075, 0.1445473009296278, 0.040746369915507216, 0.21603365908469083, -0.15139688671990711, 0.11909203716705895, 0.138419700565167, -0.07183021306991577, 0.10813818202298688, 0.0065896638327896, 0.07241514546446282, 0.13695851377543466, -0.011192785495878335, 0.13002960874853509, -0.3811107427988312, -0.20694039253769259, -0.142176923422733, 0.17835813376241097, -0.09201368627237562, -0.0735321222334215, 0.3426841593204564, 0.05923946927034176, 0.18650776566015465, 0.16342640009312198, 0.17296621439941595, 0.13967899496823843, 0.06624563197872721, 0.10392137532039444, 0.0479659019052489, 0.19968491425912938, -0.14116236351264438, -0.18172170087178746, -0.014372481319921939, 0.20616251363483543] |
712.2228 | Restoring Holographic Dark Energy in Brane Cosmology | We present a generalized version of holographic dark energy arguing that it
must be considered in the maximally subspace of a cosmological model. In the
context of brane cosmology it leads to a bulk holographic dark energy which
transfers its holographic nature to the effective 4D dark energy. As an
application we use a single-brane model and we show that in the low energy
limit the behavior of the effective holographic dark energy coincides with that
predicted by conventional 4D calculations. However, a finite bulk can lead to
radically different results.
| hep-th astro-ph | we present a generalized version of holographic dark energy arguing that it must be considered in the maximally subspace of a cosmological model in the context of brane cosmology it leads to a bulk holographic dark energy which transfers its holographic nature to the effective 4d dark energy as an application we use a singlebrane model and we show that in the low energy limit the behavior of the effective holographic dark energy coincides with that predicted by conventional 4d calculations however a finite bulk can lead to radically different results | [['we', 'present', 'a', 'generalized', 'version', 'of', 'holographic', 'dark', 'energy', 'arguing', 'that', 'it', 'must', 'be', 'considered', 'in', 'the', 'maximally', 'subspace', 'of', 'a', 'cosmological', 'model', 'in', 'the', 'context', 'of', 'brane', 'cosmology', 'it', 'leads', 'to', 'a', 'bulk', 'holographic', 'dark', 'energy', 'which', 'transfers', 'its', 'holographic', 'nature', 'to', 'the', 'effective', '4d', 'dark', 'energy', 'as', 'an', 'application', 'we', 'use', 'a', 'singlebrane', 'model', 'and', 'we', 'show', 'that', 'in', 'the', 'low', 'energy', 'limit', 'the', 'behavior', 'of', 'the', 'effective', 'holographic', 'dark', 'energy', 'coincides', 'with', 'that', 'predicted', 'by', 'conventional', '4d', 'calculations', 'however', 'a', 'finite', 'bulk', 'can', 'lead', 'to', 'radically', 'different', 'results']] | [-0.10157324807656991, 0.15152950121417955, -0.16286060887876294, 0.13588443388241334, -0.08919151171601818, -0.12556302366307476, -0.009867238076557252, 0.29134752583986784, -0.21611413128346532, -0.3204360060741777, 0.031448897053641116, -0.2455228510732343, -0.10746250431063575, 0.1343563536187163, -0.04180275452845208, 0.014186321327252989, 0.0015895704401063396, 0.04654271658612313, -0.09318120921143218, -0.21070904040115548, 0.3354596744117501, 0.09644022977342931, 0.32252193132036744, 0.08802071408430052, 0.09640100874661744, -0.012580435684687653, 0.0499703686909525, 0.07925921293732884, -0.1742060014063839, 0.12042916560504627, 0.23242593896421757, 0.06729671448612443, 0.18699913155696876, -0.43244917813565703, -0.2880637883055177, 0.14018754534177727, 0.14921555847855755, 0.17243512645542908, -0.07387334076626288, -0.22859397463009254, 0.06702489442202253, -0.24347802406115518, -0.13945753183369372, -0.08104696099206314, -0.06336703926713748, -0.08787969679822429, -0.2230946043772357, 0.11304913149253659, -0.022244947276763863, -0.08521951093144298, -0.11075380038352335, -0.05334574879648594, -0.05117850298328059, 0.012665608212106175, 0.09740119921887846, 0.02222741893646154, 0.1283009949211891, -0.18527494211793766, -0.09169189534712952, 0.42128064844675445, -0.1413745054320156, -0.1886806494382384, 0.18794560698526247, -0.0764291462959251, -0.10071460998637581, 0.08332883736507578, 0.0818552340759517, 0.1005916642741515, -0.11671732937159775, 0.14893476061547267, -0.03250739353985249, 0.17131974029221705, 0.0242601406279501, 0.08724216992485818, 0.29105176374694885, 0.15041673285272586, 0.033394148399296046, 0.13403997458082592, -0.06784420410826147, -0.10382404611292449, -0.3493434974084516, -0.18470144714996384, -0.20676557446451305, 0.07517969506987177, -0.12090325032621187, -0.1370556023800848, 0.38127315708610054, 0.14226107458215576, 0.20908130158332514, 0.0329403807370729, 0.2665860604259421, 0.1032565548839457, 0.0523881668654772, 0.07781265711841676, 0.2971213973270586, 0.062196557949921426, 0.12404898412853152, -0.244303190464072, -0.09034372255676887, 0.07066645775154069] |
712.2229 | Conway classification of alternating knots | The alternating knots, links and twists projected on the $S_2$ sphere were
identified with the phase space of a Hamiltonian dynamic system of one degree
of freedom. The saddles of the system correspond to the crossings, the edges
correspond to the stable and unstable manifolds connecting the saddles. Each
face is then oriented in one of two different senses determined by the
direction of these manifolds. This correspondence can be also realized between
the knot and the Poincar\'e section of a two degrees of freedom integrable
dynamical system. The crossings corresponding to unstable orbits, and the faces
to foliated torus, around a stable orbit.
The associated matrix to that connected graph was decomposed in two
permutations. The separation was shown unique for knots not for links. The
characteristic polynomial corresponding to some knot, link or twist families
was explicitly computed in terms of Chebyschev polynomials. A classification of
rational knots was formulated in terms of the first derivative of the
polynomial of a knot computed in $x=2$, equal to the number of crossings of the
knot multiplying the same number used previously by Conway for tabulation of
knot properties. This leads to a classification of knots exemplified for the
families having up to five ribbons. We subdivide the families of $N$ ribbons in
subfamilies related to the prime knots of $N$ crossings.
| math.GT | the alternating knots links and twists projected on the s_2 sphere were identified with the phase space of a hamiltonian dynamic system of one degree of freedom the saddles of the system correspond to the crossings the edges correspond to the stable and unstable manifolds connecting the saddles each face is then oriented in one of two different senses determined by the direction of these manifolds this correspondence can be also realized between the knot and the poincare section of a two degrees of freedom integrable dynamical system the crossings corresponding to unstable orbits and the faces to foliated torus around a stable orbit the associated matrix to that connected graph was decomposed in two permutations the separation was shown unique for knots not for links the characteristic polynomial corresponding to some knot link or twist families was explicitly computed in terms of chebyschev polynomials a classification of rational knots was formulated in terms of the first derivative of the polynomial of a knot computed in x2 equal to the number of crossings of the knot multiplying the same number used previously by conway for tabulation of knot properties this leads to a classification of knots exemplified for the families having up to five ribbons we subdivide the families of n ribbons in subfamilies related to the prime knots of n crossings | [['the', 'alternating', 'knots', 'links', 'and', 'twists', 'projected', 'on', 'the', 's_2', 'sphere', 'were', 'identified', 'with', 'the', 'phase', 'space', 'of', 'a', 'hamiltonian', 'dynamic', 'system', 'of', 'one', 'degree', 'of', 'freedom', 'the', 'saddles', 'of', 'the', 'system', 'correspond', 'to', 'the', 'crossings', 'the', 'edges', 'correspond', 'to', 'the', 'stable', 'and', 'unstable', 'manifolds', 'connecting', 'the', 'saddles', 'each', 'face', 'is', 'then', 'oriented', 'in', 'one', 'of', 'two', 'different', 'senses', 'determined', 'by', 'the', 'direction', 'of', 'these', 'manifolds', 'this', 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'knot', 'multiplying', 'the', 'same', 'number', 'used', 'previously', 'by', 'conway', 'for', 'tabulation', 'of', 'knot', 'properties', 'this', 'leads', 'to', 'a', 'classification', 'of', 'knots', 'exemplified', 'for', 'the', 'families', 'having', 'up', 'to', 'five', 'ribbons', 'we', 'subdivide', 'the', 'families', 'of', 'n', 'ribbons', 'in', 'subfamilies', 'related', 'to', 'the', 'prime', 'knots', 'of', 'n', 'crossings']] | [-0.2595009499828348, 0.10618292113140998, -0.07884159343010905, 0.06365123941921755, -0.04059173297640439, -0.14875911843914724, 0.004973813658055791, 0.3477516275293588, -0.2859276770823845, -0.30796796148894606, 0.07780089561784481, -0.246275356486188, -0.13484041726212478, 0.16661437216260983, -0.06917788055881403, 0.022137894308790228, 0.04760822959806401, 0.0845141573751404, -0.08603821227406697, -0.28495961255543373, 0.33691939515237873, -0.03762752618347001, 0.15478953393176198, 0.003975461224547109, 0.1027210141817393, -0.022273835291884637, 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712.223 | Eta forms and determinant lines | We show that there is a canonical construction of a zeta (Bismut-Quillen)
connection on the determinant line bundle of a family of APS elliptic boundary
problems and that it has curvature equal to the 2-form part of a relative eta
form.
| math.DG | we show that there is a canonical construction of a zeta bismutquillen connection on the determinant line bundle of a family of aps elliptic boundary problems and that it has curvature equal to the 2form part of a relative eta form | [['we', 'show', 'that', 'there', 'is', 'a', 'canonical', 'construction', 'of', 'a', 'zeta', 'bismutquillen', 'connection', 'on', 'the', 'determinant', 'line', 'bundle', 'of', 'a', 'family', 'of', 'aps', 'elliptic', 'boundary', 'problems', 'and', 'that', 'it', 'has', 'curvature', 'equal', 'to', 'the', '2form', 'part', 'of', 'a', 'relative', 'eta', 'form']] | [-0.2653527570422739, 0.04383457264630124, -0.1296567449811846, 0.03239766423648689, -0.11033119605854154, -0.1361738277366385, 0.01335309436544776, 0.33615852483781056, -0.2263267941772938, -0.20626771764364094, 0.07571522068465128, -0.276094907335937, -0.2108135953079909, 0.17347791036590934, -0.07842357221525162, 0.00045730355195701123, 0.08360497066169045, 0.130335244955495, -0.10571230379864574, -0.20039913105138113, 0.4559720027144067, -0.01698219757527113, 0.20218699249671773, 0.08668513019802049, 0.13542377382982523, -0.053807991824578495, 0.015487219206988811, 0.02653348948806524, -0.12830697914068878, 0.13920678390422836, 0.2114219967275858, 0.06884429844794795, 0.23515239511616529, -0.29762858734466136, -0.2027399612525187, 0.19277993640862406, 0.09532793069956824, -0.04641254383604974, 0.011549497497617267, -0.1744974776636809, 0.09880015620110498, -0.13899311712011694, -0.16659865910187363, -0.019361729611409827, 0.07522690081968904, -0.020576710533350705, -0.25691156006651, 0.007825689623132348, 0.05674038277447835, 0.0859730961965397, -0.06016494366340339, -0.11294151837937534, -0.049686968047171834, 0.04184286837698892, 0.09032239853986539, 0.10742029054090381, 0.08731662282953039, -0.12279395774239674, -0.06675774371251464, 0.3749977815707098, -0.0834427752532065, -0.2786826733965427, 0.093976909853518, -0.10572064465959556, -0.14243950713425874, 0.17177041471004487, 0.1277082543587312, 0.1664649575948715, -0.02627976906951517, 0.13894463015458314, -0.12611867570958565, 0.13129358449950815, 0.10348142832517623, -0.07218781739939004, 0.18651408492587507, 0.062399548129178584, 0.10363337956368923, 0.12119301289785653, -0.03695974459405989, -0.11938419919461012, -0.39494461100548506, -0.2771182086034969, -0.1778713337145746, 0.15635037010069935, -0.09302334357598738, -0.2239350383169949, 0.39046132268267686, 0.04178991047665477, 0.2365846759872511, 0.07471207566559315, 0.22180679331067948, 0.12639349654782564, 0.0964483845513314, 0.05377800402930007, 0.18326192894019186, 0.22816504177171737, 0.07618317130254582, -0.19065086127957329, -0.03949491488747299, 0.14757022147532553] |
712.2231 | Trust for Location-based Authorisation | We propose a concept for authorisation using the location of a mobile device
and the enforcement of location-based policies. Mobile devices enhanced by
Trusted Computing capabilities operate an autonomous and secure location
trigger and policy enforcement entity. Location determination is two-tiered,
integrating cell-based triggering at handover with precision location
measurement by the device.
| cs.CR | we propose a concept for authorisation using the location of a mobile device and the enforcement of locationbased policies mobile devices enhanced by trusted computing capabilities operate an autonomous and secure location trigger and policy enforcement entity location determination is twotiered integrating cellbased triggering at handover with precision location measurement by the device | [['we', 'propose', 'a', 'concept', 'for', 'authorisation', 'using', 'the', 'location', 'of', 'a', 'mobile', 'device', 'and', 'the', 'enforcement', 'of', 'locationbased', 'policies', 'mobile', 'devices', 'enhanced', 'by', 'trusted', 'computing', 'capabilities', 'operate', 'an', 'autonomous', 'and', 'secure', 'location', 'trigger', 'and', 'policy', 'enforcement', 'entity', 'location', 'determination', 'is', 'twotiered', 'integrating', 'cellbased', 'triggering', 'at', 'handover', 'with', 'precision', 'location', 'measurement', 'by', 'the', 'device']] | [-0.2427431303515749, 0.00280274671556226, -0.005138149388345345, -0.04012865895396626, -0.12651100292590992, -0.28362455048580776, 0.18059465224977653, 0.40415001625441155, -0.26008720492135806, -0.37669790982497187, 0.13587860628646217, -0.23404536441952553, -0.07032057291494226, 0.18550735989690953, -0.13899464724269114, 0.09046318139529454, 0.03482903063051262, 0.024956842796560727, 0.040407663299087085, -0.13318065705023846, 0.3036231008129862, 0.15600655962414336, 0.38228326241643923, 0.0680546620597114, 0.13584975357923024, 0.061042153276503086, -0.04765555513846987, -0.06551365399698042, -0.04505049911731819, 0.14742512391212415, 0.31635982836245224, 0.20673687116436237, 0.34570162184536457, -0.41010301301853275, -0.16008109970123702, 0.02700102970636678, 0.1409888206190377, 0.0247551334960351, -0.13314246421433845, -0.3820022066949673, 0.15125311363734445, -0.32745853837860645, -0.1443955038390276, -0.0503528609120656, -0.01881037228784682, 0.050702822113515074, -0.314143637827826, -0.051221400270906256, -0.06938720875823835, 0.11648336591480195, -0.05042771314504723, 0.026076788117863098, 0.048920372984249075, 0.24224361485608345, -0.07626622189978524, -0.026283137931077706, 0.3081712758713314, -0.17640352489005, -0.21102775889888126, 0.3356650285422802, 0.08274146081563437, -0.15360194490343895, 0.12691959836695976, -0.0005402472397347666, -0.11408072177601873, 0.0775235717378135, 0.23678155466562734, 0.09037821543104244, -0.23642396169521337, -0.024199601850924873, 0.06288543037789047, 0.16268567593311364, 0.05038017959263668, 0.08174277205055333, 0.23123198635173295, 0.2815526145738813, 0.1672914930847737, 0.03505940809143039, -0.14529042366786665, -0.08031926619301918, -0.21381070496479296, -0.16084941996718352, -0.17758227241190397, -0.027990506434777997, -0.11361975140154652, -0.07916200600283325, 0.33823347499348083, 0.22849747800391237, 0.1037215480299772, 0.06894903649347571, 0.4204691074929147, 0.08753010749219442, 0.14620636814748342, 0.15980711903528505, 0.1719920849317755, -0.07172146678533194, 0.2720556269852304, -0.2112486083499806, 0.1844065643600979, 0.0662633415733306] |
712.2232 | Electrostatic interactions between graphene layers and their environment | We analyze the electrostatic interactions between a single graphene layer and
a SiO$_2$ susbtrate, and other materials which may exist in its environment. We
obtain that the leading effects arise from the polar modes at the SiO$_2$
surface, and water molecules, which may form layers between the graphene sheet
and the substrate. The strength of the interactions implies that graphene is
pinned to the substrate at distances greater than a few lattice spacings. The
implications for graphene nanoelectromechanical systems, and for the
interaction between graphene and a STM tip are also considered.
| cond-mat.mtrl-sci cond-mat.mes-hall | we analyze the electrostatic interactions between a single graphene layer and a sio_2 susbtrate and other materials which may exist in its environment we obtain that the leading effects arise from the polar modes at the sio_2 surface and water molecules which may form layers between the graphene sheet and the substrate the strength of the interactions implies that graphene is pinned to the substrate at distances greater than a few lattice spacings the implications for graphene nanoelectromechanical systems and for the interaction between graphene and a stm tip are also considered | [['we', 'analyze', 'the', 'electrostatic', 'interactions', 'between', 'a', 'single', 'graphene', 'layer', 'and', 'a', 'sio_2', 'susbtrate', 'and', 'other', 'materials', 'which', 'may', 'exist', 'in', 'its', 'environment', 'we', 'obtain', 'that', 'the', 'leading', 'effects', 'arise', 'from', 'the', 'polar', 'modes', 'at', 'the', 'sio_2', 'surface', 'and', 'water', 'molecules', 'which', 'may', 'form', 'layers', 'between', 'the', 'graphene', 'sheet', 'and', 'the', 'substrate', 'the', 'strength', 'of', 'the', 'interactions', 'implies', 'that', 'graphene', 'is', 'pinned', 'to', 'the', 'substrate', 'at', 'distances', 'greater', 'than', 'a', 'few', 'lattice', 'spacings', 'the', 'implications', 'for', 'graphene', 'nanoelectromechanical', 'systems', 'and', 'for', 'the', 'interaction', 'between', 'graphene', 'and', 'a', 'stm', 'tip', 'are', 'also', 'considered']] | [-0.17492385455253687, 0.1715879804035137, -0.049171199404204696, 0.005543655301393061, 0.020296694014917363, -0.16741450501933366, 0.08723842634584059, 0.4176133054994292, -0.2930137882479927, -0.2808892056755312, 0.0067530701660991205, -0.3279852096687306, -0.1705178513017657, 0.18387756148701187, 0.06171287305571221, -0.029490914083838176, 0.04228696019061237, -0.08191639132756781, -0.059071118308865765, -0.1724057269927401, 0.2714571029787044, 0.03633432548267992, 0.29341374785168567, 0.1657380586090897, 0.049022029573609543, -0.04156875260082166, 0.14021193758574324, -0.0036164126921813568, -0.14163397751562426, 0.11541324673837133, 0.1860918994937962, -0.14587652202757015, 0.22669604711316443, -0.5433103122267422, -0.21320493197948723, 0.012695842443013585, 0.10709252886494601, 0.17306612266974708, -0.050138673632518276, -0.2511455807220805, 0.046985327772755214, -0.106625292854445, -0.0828590677887365, 0.0065958959147702535, 0.020246799851020614, 0.012568852362724451, -0.24048406589817214, 0.06858533041284337, 0.035246058965900114, 0.05273789298147536, -0.08946584531612653, -0.13070239669100925, -0.12243355779939301, 0.1385230534290383, 0.05407818070367224, 0.019114276133273003, 0.24342188395682599, -0.13581236455957968, -0.04149196394156296, 0.41882880621559015, -0.05230215147657673, -0.17326723992476586, 0.2787214125312128, -0.15418718434655324, -0.021126905312904946, 0.10654816490976693, 0.14961562667983574, 0.07611765130359045, -0.1442927827618525, 0.040834361437841186, 0.0001505909508073723, 0.18033322356743636, 0.13648545609500545, 0.09123596614533729, 0.29374139524668785, 0.1932654113836259, 0.05355531468496218, 0.12675390928755975, -0.14649802300526382, -0.0046179391351620575, -0.23416835511778736, -0.18704587502845124, -0.18944756687455044, 0.019733173644763756, -0.09464086475558221, -0.19738845259544777, 0.3728577992290381, 0.13057161503021125, 0.17642515379894566, -0.016340417163139515, 0.2352307701258214, 0.04466589940404826, 0.11902536594585239, 0.0045811067499056625, 0.300145134759637, 0.13841527582729582, 0.06624535180546426, -0.19710144420489567, 0.05436138733505057, 7.693804186451567e-05] |
712.2233 | Charmonium spectroscopy at BABAR | The charmonium-like states, Y(4260), Y(4350), produced via initial state
radiation, as well as the X(3872), and Y(3940), produced in B meson decays from
the BABAR B-factory are reviewed. These mesons do not seem consistent with
conventional charmonium models, and several alternate hypotheses have been
proposed to explain these new discoveries.
| hep-ex | the charmoniumlike states y4260 y4350 produced via initial state radiation as well as the x3872 and y3940 produced in b meson decays from the babar bfactory are reviewed these mesons do not seem consistent with conventional charmonium models and several alternate hypotheses have been proposed to explain these new discoveries | [['the', 'charmoniumlike', 'states', 'y4260', 'y4350', 'produced', 'via', 'initial', 'state', 'radiation', 'as', 'well', 'as', 'the', 'x3872', 'and', 'y3940', 'produced', 'in', 'b', 'meson', 'decays', 'from', 'the', 'babar', 'bfactory', 'are', 'reviewed', 'these', 'mesons', 'do', 'not', 'seem', 'consistent', 'with', 'conventional', 'charmonium', 'models', 'and', 'several', 'alternate', 'hypotheses', 'have', 'been', 'proposed', 'to', 'explain', 'these', 'new', 'discoveries']] | [0.0027883520722389223, 0.27926696512848137, -0.12154926972463727, 0.2066731860488653, -0.09721090000122785, -0.195242628660053, 0.06331908704014495, 0.3387481421604753, -0.14537911657243968, -0.217374412342906, -0.050596831527072936, -0.35431460931897163, 0.00417291022837162, 0.1123884211317636, 0.06034524619579315, 0.2167282840795815, 0.16417897129431366, 0.0012682805210351945, 0.002547116056084633, -0.20165257651358842, 0.292639439413324, -0.0079144196677953, 0.18888060594908893, 0.13769222976639867, -0.08104582890868187, -0.09182476066984237, -0.0013080921955406666, -0.0919603070244193, -0.09352696542162448, 0.022988420700421557, 0.26050777906879374, 0.20982502402272074, 0.11186570869758725, -0.40968413260765374, -0.1427480446174741, 0.14715200230479242, 0.23378827449865638, 0.10042563886381686, -0.07524254919961094, -0.4584927352517843, 0.14011540276929735, -0.21355378554202617, -0.060771159869618716, -0.165894504096359, -0.037499966230243445, -0.035764806643128394, -0.28153468800708653, 0.07244434030726551, -0.0778812912479043, 0.03913768961443566, -0.10227708703838288, -0.3839841226488352, -0.02456035338807851, -0.05151420209556818, 0.14047709079459308, 0.12009505617432296, 0.19076399300247432, -0.10865799727849662, -0.293154930062592, 0.3450369206815958, -0.027090977523475886, -0.13052842603996395, 0.24146818537265063, -0.16524947139434518, -0.16483340326696636, 0.12720653210300953, 0.13838966827839613, 0.018749185763299467, -0.1674342654272914, 0.020210824718233197, -0.07573536042124034, 0.11262007392942905, 0.0911843158584088, 0.16974107280373574, 0.25147512011229994, 0.11837561951950193, -0.14695919905789195, 0.03393206404522062, -0.05120250143110752, -0.09106867358088494, -0.3632687102258205, -0.10441169262514449, -0.1132578473817557, 0.0917631938031991, 0.1071630705340067, -0.06448114590719342, 0.34846815634518863, 0.025149889532476665, 0.3235722780972719, -0.0818781989440322, 0.2752581222075969, 0.016010072524659337, 0.042851865115808324, 0.09275273628532886, 0.38446635123342277, 0.19235358053818344, 0.1837172158062458, -0.22358990543056279, 0.09019776189699769, -0.039158699000254274] |
712.2234 | Geometry of the conics on the Minkowski plane | Conics in the Euclidean space have been known for their geometrical beauty
and also for their power to model several phenomena in real life. It usually
happens that when thinking about the conics in a semi-Riemannian manifold, the
equations and the graphs that come to mind are those of the quadratic Euclidean
equations. For example, a circle is always perceived like a closed curve. We
study the geometry of the conics in the semi-Riemannian Minkowski spacetime,
and interpret each equation with Euclidean eyes. By defining an extended
geometric completeness for conics, we will show that the conic completeness of
conics can be changed through a Euclidean mirror.
| math-ph math.MP | conics in the euclidean space have been known for their geometrical beauty and also for their power to model several phenomena in real life it usually happens that when thinking about the conics in a semiriemannian manifold the equations and the graphs that come to mind are those of the quadratic euclidean equations for example a circle is always perceived like a closed curve we study the geometry of the conics in the semiriemannian minkowski spacetime and interpret each equation with euclidean eyes by defining an extended geometric completeness for conics we will show that the conic completeness of conics can be changed through a euclidean mirror | [['conics', 'in', 'the', 'euclidean', 'space', 'have', 'been', 'known', 'for', 'their', 'geometrical', 'beauty', 'and', 'also', 'for', 'their', 'power', 'to', 'model', 'several', 'phenomena', 'in', 'real', 'life', 'it', 'usually', 'happens', 'that', 'when', 'thinking', 'about', 'the', 'conics', 'in', 'a', 'semiriemannian', 'manifold', 'the', 'equations', 'and', 'the', 'graphs', 'that', 'come', 'to', 'mind', 'are', 'those', 'of', 'the', 'quadratic', 'euclidean', 'equations', 'for', 'example', 'a', 'circle', 'is', 'always', 'perceived', 'like', 'a', 'closed', 'curve', 'we', 'study', 'the', 'geometry', 'of', 'the', 'conics', 'in', 'the', 'semiriemannian', 'minkowski', 'spacetime', 'and', 'interpret', 'each', 'equation', 'with', 'euclidean', 'eyes', 'by', 'defining', 'an', 'extended', 'geometric', 'completeness', 'for', 'conics', 'we', 'will', 'show', 'that', 'the', 'conic', 'completeness', 'of', 'conics', 'can', 'be', 'changed', 'through', 'a', 'euclidean', 'mirror']] | [-0.1209795963993975, 0.061350301688316136, -0.11546804427787244, 0.15094293400353673, -0.14406945977673352, -0.12894840117230594, -0.02954194822705516, 0.3822945289696767, -0.27932554995205916, -0.2479812808543722, 0.12018120164382402, -0.29658461718115015, -0.19320848192062193, 0.1951757751592374, -0.16326053995882797, 0.0469952752274052, 0.02902027147617539, 0.08947192122028252, -0.11003114901718065, -0.28947908499182384, 0.38151056712893683, -0.028323514872256702, 0.2078606289524202, 0.021169514157025962, 0.10638893711615667, -0.006436705467439144, 0.04204192021687594, 0.07113476946191627, -0.11477710644242073, 0.10719938974427147, 0.25600297477479295, 0.16038270198270052, 0.19382093395498173, -0.4185395027188776, -0.20703387391866646, 0.14554370780122927, 0.1663600030076629, 0.06664000036821605, -0.017482530785872488, -0.31990544168957485, 0.031234398319943, -0.038937616092370494, -0.20296568570171145, -0.06300932365669826, 0.034688967084250996, 0.00622798751160572, -0.12276720762183176, -0.029079429520496438, 0.1085739550224253, 0.11073699633146976, -0.0630809435268394, -0.09273251924211177, -0.05978654403343936, 0.07370646060667453, 0.037948933709630414, 0.04709834270788548, 0.08702827802920174, -0.08951471198924651, -0.12706272785386472, 0.4443843517905084, -0.012238448853473936, -0.27836954889592724, 0.10405786602679536, -0.17626185749579115, -0.09237893592897002, 0.12003813820638667, 0.19437948306239097, 0.14320156596836017, -0.1316100947683183, 0.13684691353668416, -0.0778118479940072, 0.07023976551951998, 0.11969506821951995, -0.007114101118608334, 0.18780759385151563, 0.08145828690123091, 0.04548287992452698, 0.12310637232834455, -0.023608194446521943, -0.1305228471320784, -0.35168479447401013, -0.23280994927349596, -0.12221317648643924, 0.11107338636256232, -0.14970699967079357, -0.16334523775867213, 0.360004184223607, 0.06056540993381744, 0.19704770057453452, 0.045544915980546274, 0.2819260875868533, 0.05094011749410741, 0.03940856185628571, 0.057169913623273096, 0.2718034017152179, 0.10772700078073327, 0.07540245732362165, -0.125087834402884, -0.029478586300615672, 0.10067813978835105] |
712.2235 | A Dynamic ID-based Remote User Authentication Scheme | Password-based authentication schemes are the most widely used techniques for
remote user authentication. Many static ID-based remote user authentication
schemes both with and without smart cards have been proposed. Most of the
schemes do not allow the users to choose and change their passwords, and
maintain a verifier table to verify the validity of the user login. In this
paper we present a dynamic ID-based remote user authentication scheme using
smart cards. Our scheme allows the users to choose and change their passwords
freely, and do not maintain any verifier table. The scheme is secure against
ID-theft, and can resist the reply attacks, forgery attacks, guessing attacks,
insider attacks and stolen verifier attacks.
| cs.CR | passwordbased authentication schemes are the most widely used techniques for remote user authentication many static idbased remote user authentication schemes both with and without smart cards have been proposed most of the schemes do not allow the users to choose and change their passwords and maintain a verifier table to verify the validity of the user login in this paper we present a dynamic idbased remote user authentication scheme using smart cards our scheme allows the users to choose and change their passwords freely and do not maintain any verifier table the scheme is secure against idtheft and can resist the reply attacks forgery attacks guessing attacks insider attacks and stolen verifier attacks | [['passwordbased', 'authentication', 'schemes', 'are', 'the', 'most', 'widely', 'used', 'techniques', 'for', 'remote', 'user', 'authentication', 'many', 'static', 'idbased', 'remote', 'user', 'authentication', 'schemes', 'both', 'with', 'and', 'without', 'smart', 'cards', 'have', 'been', 'proposed', 'most', 'of', 'the', 'schemes', 'do', 'not', 'allow', 'the', 'users', 'to', 'choose', 'and', 'change', 'their', 'passwords', 'and', 'maintain', 'a', 'verifier', 'table', 'to', 'verify', 'the', 'validity', 'of', 'the', 'user', 'login', 'in', 'this', 'paper', 'we', 'present', 'a', 'dynamic', 'idbased', 'remote', 'user', 'authentication', 'scheme', 'using', 'smart', 'cards', 'our', 'scheme', 'allows', 'the', 'users', 'to', 'choose', 'and', 'change', 'their', 'passwords', 'freely', 'and', 'do', 'not', 'maintain', 'any', 'verifier', 'table', 'the', 'scheme', 'is', 'secure', 'against', 'idtheft', 'and', 'can', 'resist', 'the', 'reply', 'attacks', 'forgery', 'attacks', 'guessing', 'attacks', 'insider', 'attacks', 'and', 'stolen', 'verifier', 'attacks']] | [-0.2201430574277765, -0.07188909257196688, -0.08154954930068925, 0.06064193512845252, -0.14787695714039728, -0.4269202985784172, 0.18371832873734611, 0.39533754585759845, -0.22970957830589864, -0.3082951069601612, 0.12725590671574796, -0.3144071383640039, -0.08821448295826226, 0.1801880749470521, -0.23567928262387536, 0.1321848748089646, -0.022432418797896907, 0.016109701632688354, 0.038077248526471, -0.38163530778547283, 0.2887158047066935, 0.057994793992423056, 0.35654117732441853, 0.0658751316327003, 0.02904076233322225, 0.05302120946414236, -0.041085024365721826, -0.09143467245823038, -0.05496582661206568, 0.04196967909852641, 0.3671275445605196, 0.23977671038716966, 0.34818502834449255, -0.44849375860732316, -0.13962716147735982, 0.07987405158512827, 0.14289747043845377, 0.16905979664131468, -0.0806116493601751, -0.3712524900162992, 0.22603109731738055, -0.3844844934064895, -0.033167720687093345, -0.11629312162196064, -0.07067809991921033, 0.05863735268212622, -0.2650705873966217, -0.12034231473808177, 0.0033754117196492317, 0.09210641290493575, 0.04369568890615483, 0.05126683597336523, 0.023207698784452595, 0.27455918872562635, 0.03447617797272479, -0.06850604690927346, 0.23298817431038646, -0.0536944594329855, -0.20235086629898952, 0.39977725630368305, 0.10231243454576802, -0.20117576460220984, 0.1757053931588806, 0.06403796244246353, -0.11786182560276107, 0.06196567937357551, 0.19576268089336477, 0.115140165801027, -0.12817299969693913, -0.030421801201945136, -0.041809817152430435, 0.2960062425450555, 0.09802614325807164, 0.06708519453448909, 0.12742102059668728, 0.03769883118470067, 0.08798815654829793, 0.031871364356317954, -0.0662010858733473, -0.047621337904794406, -0.18220423247527964, -0.18094880195401078, -0.19003250175488315, -0.05128945031044298, -0.05304619831141671, -0.11754386833386629, 0.3499284257551868, 0.27779606944698443, 0.06042503596316757, 0.05405611058397751, 0.4764181707287207, -0.033935531457245816, 0.0935872682228884, 0.21666218058921263, 0.13737751896197942, -0.030263671033026185, 0.20858993999926106, -0.10322035268161146, 0.2635636360417785, 0.04989995919666918] |
712.2236 | Cosmic string loops: large and small, but not tiny | We develop an analytical model to study the production spectrum of loops in
the cosmic string network. In the scaling regime, we find two different scales
corresponding to large (one order below horizon) and small (few orders below
horizon) loops. The very small (tiny) loops at the gravitational back reaction
scale are absent, and thus, our model has no ultra-violet divergences. We
calculate the spectrum of loops and derive analytical expressions for the
positions and magnitudes of the small and large scale peaks. The small loops
are produced by large bursts of similar loops moving with very high velocities
in the same direction. We describe the shape of large loops, which would
usually consist of few kinks and few cusps per oscillation cycle. We also argue
that the typical size of large loops is set by the correlation length, which
does not depend on the intercommutation probability p, while the interstring
distance scales as p^{1/3}.
| gr-qc astro-ph hep-ph hep-th | we develop an analytical model to study the production spectrum of loops in the cosmic string network in the scaling regime we find two different scales corresponding to large one order below horizon and small few orders below horizon loops the very small tiny loops at the gravitational back reaction scale are absent and thus our model has no ultraviolet divergences we calculate the spectrum of loops and derive analytical expressions for the positions and magnitudes of the small and large scale peaks the small loops are produced by large bursts of similar loops moving with very high velocities in the same direction we describe the shape of large loops which would usually consist of few kinks and few cusps per oscillation cycle we also argue that the typical size of large loops is set by the correlation length which does not depend on the intercommutation probability p while the interstring distance scales as p13 | [['we', 'develop', 'an', 'analytical', 'model', 'to', 'study', 'the', 'production', 'spectrum', 'of', 'loops', 'in', 'the', 'cosmic', 'string', 'network', 'in', 'the', 'scaling', 'regime', 'we', 'find', 'two', 'different', 'scales', 'corresponding', 'to', 'large', 'one', 'order', 'below', 'horizon', 'and', 'small', 'few', 'orders', 'below', 'horizon', 'loops', 'the', 'very', 'small', 'tiny', 'loops', 'at', 'the', 'gravitational', 'back', 'reaction', 'scale', 'are', 'absent', 'and', 'thus', 'our', 'model', 'has', 'no', 'ultraviolet', 'divergences', 'we', 'calculate', 'the', 'spectrum', 'of', 'loops', 'and', 'derive', 'analytical', 'expressions', 'for', 'the', 'positions', 'and', 'magnitudes', 'of', 'the', 'small', 'and', 'large', 'scale', 'peaks', 'the', 'small', 'loops', 'are', 'produced', 'by', 'large', 'bursts', 'of', 'similar', 'loops', 'moving', 'with', 'very', 'high', 'velocities', 'in', 'the', 'same', 'direction', 'we', 'describe', 'the', 'shape', 'of', 'large', 'loops', 'which', 'would', 'usually', 'consist', 'of', 'few', 'kinks', 'and', 'few', 'cusps', 'per', 'oscillation', 'cycle', 'we', 'also', 'argue', 'that', 'the', 'typical', 'size', 'of', 'large', 'loops', 'is', 'set', 'by', 'the', 'correlation', 'length', 'which', 'does', 'not', 'depend', 'on', 'the', 'intercommutation', 'probability', 'p', 'while', 'the', 'interstring', 'distance', 'scales', 'as', 'p13']] | [-0.17102039766257568, 0.21916859960493315, -0.021204293740259846, 0.13048197456199917, -0.04209297996675295, -0.0987587551496202, 0.02341049930077016, 0.35813964831252254, -0.23398440787718902, -0.3375576377455746, 0.0937503153112747, -0.3028409052700285, -0.07622134637448096, 0.18616146909283293, 0.007950371539881153, 0.008858082449484257, 0.04253943275224658, 0.05662016849138684, -0.041476261596225444, -0.18681867449514328, 0.3088141072901987, 0.09118913910727226, 0.24831774755110664, 0.06999005144762416, 0.0908739916860096, -0.04742543418260832, -0.024084090049033082, 0.05011919770134433, -0.11203660222635071, 0.06182547489260023, 0.16619893822503545, 0.06266860301275888, 0.1992371421427496, -0.4629354042511794, -0.1873391044746724, 0.08593717903018959, 0.1837738864844845, 0.13244899171855182, 0.008678444152727963, -0.20056057362817228, 0.10764596332315235, -0.13628808665521172, -0.13469569018831656, -0.03211561065287359, 0.059682464024292364, 0.016780884910540115, -0.19264508098544134, 0.09038551230069941, -0.0031456518208517904, 0.031146645179438975, -0.02221215407574369, -0.0961169360566043, 0.00174525284148272, 0.1644666283932184, 0.10330640463038318, 0.01674601443566292, 0.13580446064532284, -0.1306050672165809, -0.07531810768151416, 0.34004239468805253, -0.07902633152121018, -0.0946039273223329, 0.19046518176553712, -0.24664966859704546, -0.13604466937662613, 0.1954676597694596, 0.1683529000849493, 0.14633607208548535, -0.12061212584376335, 0.06768331858554795, -0.0048305176318653165, 0.18681797671935432, 0.1033743834829018, 0.04006290340480665, 0.22654473595321178, 0.1143345411446306, 0.03978573284675217, 0.11326459034556342, -0.14925493698627237, -0.08960150039995149, -0.3734442984805472, -0.04387839080074862, -0.14135408244666553, 0.026152677516426682, -0.1378201524961755, -0.20641137062902412, 0.3602683071178504, 0.11763788419925879, 0.2962568987476369, 0.09238826331021564, 0.26096356539956983, 0.12567756868187233, 0.15530918636734808, 0.11609571769743436, 0.2512091388745654, 0.07164442354828239, 0.08231637208392062, -0.22424598868575787, 0.017002305592740737, 0.04528217200610426] |
712.2237 | Localization of nonlocal theories | We show that a certain class of nonlocal scalar models, with a kinetic
operator inspired by string field theory, is equivalent to a system which is
local in the coordinates but nonlocal in an auxiliary evolution variable. This
system admits both Lagrangian and Hamiltonian formulations, and its Cauchy
problem and quantization are well-defined. We classify exact nonperturbative
solutions of the localized model which can be found via the diffusion equation
governing the fields.
| hep-th gr-qc math-ph math.MP | we show that a certain class of nonlocal scalar models with a kinetic operator inspired by string field theory is equivalent to a system which is local in the coordinates but nonlocal in an auxiliary evolution variable this system admits both lagrangian and hamiltonian formulations and its cauchy problem and quantization are welldefined we classify exact nonperturbative solutions of the localized model which can be found via the diffusion equation governing the fields | [['we', 'show', 'that', 'a', 'certain', 'class', 'of', 'nonlocal', 'scalar', 'models', 'with', 'a', 'kinetic', 'operator', 'inspired', 'by', 'string', 'field', 'theory', 'is', 'equivalent', 'to', 'a', 'system', 'which', 'is', 'local', 'in', 'the', 'coordinates', 'but', 'nonlocal', 'in', 'an', 'auxiliary', 'evolution', 'variable', 'this', 'system', 'admits', 'both', 'lagrangian', 'and', 'hamiltonian', 'formulations', 'and', 'its', 'cauchy', 'problem', 'and', 'quantization', 'are', 'welldefined', 'we', 'classify', 'exact', 'nonperturbative', 'solutions', 'of', 'the', 'localized', 'model', 'which', 'can', 'be', 'found', 'via', 'the', 'diffusion', 'equation', 'governing', 'the', 'fields']] | [-0.15638926483320761, 0.1122030261347839, -0.10818564413396055, 0.08401953133480139, -0.08657543700545618, -0.16106169520277683, -0.06416392283775678, 0.3161114975299737, -0.31362722301217794, -0.26341949023740135, 0.09224347529728731, -0.2511824386143317, -0.19963610850989003, 0.11890435311624346, -0.023673821380999806, 0.04754774444593014, 0.046517643570415164, 0.06314585132728497, -0.09746010357526781, -0.20991663974135705, 0.36361983994481295, -0.004919215296841648, 0.22553392813847184, 0.01779258355804502, 0.17002258172309767, -0.02056160729780334, 0.0006385367261628582, 0.08468359685821893, -0.10587329242734497, 0.10117801949732669, 0.18405928965627052, 0.0758567554812419, 0.24387729000810482, -0.43030578152225546, -0.25882384043716355, 0.09809330300976561, 0.1572654074351367, 0.16096478170230474, -0.005828099009542636, -0.28513489171148165, 0.0555214174984865, -0.1394483340546897, -0.14188127467817027, -0.10653662291189579, 0.004032376109086589, 0.007879219056196408, -0.29725993922209903, 0.10219416938951775, 0.055566699902705644, -0.004593555573118876, -0.13837602107358254, -0.030723119757380592, -0.03650468922130866, 0.04500679646248687, 0.04733350439067317, 0.05422649375635059, 0.07744182597794762, -0.17173067276838094, -0.09117273030936565, 0.3693803394698117, -0.09015196112418318, -0.30839047162819094, 0.1523369264993051, -0.07099104802162476, -0.09205416110918334, 0.1117827701956442, 0.11635276788450165, 0.18770818335756864, -0.22225040103841495, 0.18036871672407023, -0.05461186124649767, 0.14525239773681514, 0.007835717776101338, 0.024923196445180946, 0.1833014606166478, 0.09253065975076735, 0.07155571012974601, 0.12348839095060088, 0.004106807637296311, -0.1837997612709256, -0.3599599454909155, -0.14397006256550499, -0.13895715303616982, 0.09501263943232902, -0.09376962913446645, -0.21285037647881735, 0.40372766754653766, 0.13463457795625475, 0.15509881407392453, 0.0423801544541812, 0.2013788073170573, 0.23217771752188876, 0.04561525386477476, 0.08465623012297366, 0.20696924512006648, 0.1695301478237475, 0.08907666961879354, -0.250010098050004, -0.03442098816206092, 0.15912104516660106] |
712.2238 | Identification of Spinning Dust in Halpha-Correlated Microwave Emission | CMB experiments commonly use maps of Halpha intensity as a spatial template
for Galactic free-free emission, assuming a power law I_nu \propto nu^-0.15 for
the spectrum. Any departure from the assumed free-free spectrum could have a
detrimental effect on determination of the primary CMB anisotropy. We show that
the Halpha-correlated emission spectrum in the diffuse warm ionized medium
(WIM) is not the expected free-free spectrum at WMAP frequencies. Instead,
there is a broad bump in the spectrum at ~50 GHz which is consistent with
emission from spinning dust grains. Spectra from both the full sky and smaller
regions of interest are well fit by a superposition of a free-free and WIM
Draine & Lazarian (1998) spinning dust model, shifted in frequency. The
spinning dust emission is ~5 times weaker than the free-free component at 50
GHz, with the null hypothesis that the Halpha-correlated spectrum is pure
free-free, ruled out at >8 sigma in all regions and >100 sigma for the full sky
fit.
| astro-ph | cmb experiments commonly use maps of halpha intensity as a spatial template for galactic freefree emission assuming a power law i_nu propto nu015 for the spectrum any departure from the assumed freefree spectrum could have a detrimental effect on determination of the primary cmb anisotropy we show that the halphacorrelated emission spectrum in the diffuse warm ionized medium wim is not the expected freefree spectrum at wmap frequencies instead there is a broad bump in the spectrum at 50 ghz which is consistent with emission from spinning dust grains spectra from both the full sky and smaller regions of interest are well fit by a superposition of a freefree and wim draine lazarian 1998 spinning dust model shifted in frequency the spinning dust emission is 5 times weaker than the freefree component at 50 ghz with the null hypothesis that the halphacorrelated spectrum is pure freefree ruled out at 8 sigma in all regions and 100 sigma for the full sky fit | [['cmb', 'experiments', 'commonly', 'use', 'maps', 'of', 'halpha', 'intensity', 'as', 'a', 'spatial', 'template', 'for', 'galactic', 'freefree', 'emission', 'assuming', 'a', 'power', 'law', 'i_nu', 'propto', 'nu015', 'for', 'the', 'spectrum', 'any', 'departure', 'from', 'the', 'assumed', 'freefree', 'spectrum', 'could', 'have', 'a', 'detrimental', 'effect', 'on', 'determination', 'of', 'the', 'primary', 'cmb', 'anisotropy', 'we', 'show', 'that', 'the', 'halphacorrelated', 'emission', 'spectrum', 'in', 'the', 'diffuse', 'warm', 'ionized', 'medium', 'wim', 'is', 'not', 'the', 'expected', 'freefree', 'spectrum', 'at', 'wmap', 'frequencies', 'instead', 'there', 'is', 'a', 'broad', 'bump', 'in', 'the', 'spectrum', 'at', '50', 'ghz', 'which', 'is', 'consistent', 'with', 'emission', 'from', 'spinning', 'dust', 'grains', 'spectra', 'from', 'both', 'the', 'full', 'sky', 'and', 'smaller', 'regions', 'of', 'interest', 'are', 'well', 'fit', 'by', 'a', 'superposition', 'of', 'a', 'freefree', 'and', 'wim', 'draine', 'lazarian', '1998', 'spinning', 'dust', 'model', 'shifted', 'in', 'frequency', 'the', 'spinning', 'dust', 'emission', 'is', '5', 'times', 'weaker', 'than', 'the', 'freefree', 'component', 'at', '50', 'ghz', 'with', 'the', 'null', 'hypothesis', 'that', 'the', 'halphacorrelated', 'spectrum', 'is', 'pure', 'freefree', 'ruled', 'out', 'at', '8', 'sigma', 'in', 'all', 'regions', 'and', '100', 'sigma', 'for', 'the', 'full', 'sky', 'fit']] | [-0.023124403632621957, 0.11433787326478856, -0.026553169349844783, 0.08741758836748553, -0.051972220897651425, -0.08446768700775707, -0.015821190753384777, 0.42454348513798684, -0.19212396972182189, -0.2671414502312123, 0.044210948822267865, -0.33245614349194197, 0.029107666334357137, 0.18513034096548786, 0.03122393057178359, -0.04792585596550684, -0.037195862352599314, -0.1398469343758333, 0.03189684080700419, -0.1315949749417013, 0.26064642522808, 0.17270182526051442, 0.24718488962823373, 0.01963212765118408, 0.02064250284077033, -0.11638115945717563, -0.08254210336816421, -0.04199907050601074, -0.08411217319263183, 0.04580461330168088, 0.20586356330049796, 0.10072812213785136, 0.10974859100945802, -0.33666569671900193, -0.3022136102099353, 0.115744287592087, 0.14544179514252945, 0.04931838259965714, 0.0445914367967291, -0.22690689542275846, 0.03489570994427578, -0.18736140764902653, -0.1712673522983186, 0.09719331134457766, 0.06931381279845601, -0.04715827452915472, -0.2814783882118345, 0.17639496588576237, 0.058893792069826555, 0.10604226747122796, -0.09376392097889173, -0.1226578403252715, -0.07941958030703136, 0.00957394840762667, 0.01160241602789842, 0.051910116386408946, 0.22910235015247365, -0.09077888371434456, -0.025290233971007308, 0.41341917162980907, -0.15976319796962862, -0.033268513409594386, 0.16030188515255955, -0.2729095071637338, -0.1628137986979777, 0.26759754732158614, 0.09775242229680652, 0.06416434934602289, -0.13422799565589275, 0.0717217908403547, -0.04621801255646839, 0.2607406193725996, 0.12320661377190664, 0.03731862944695428, 0.36190931071232285, 0.03606382288004023, 0.03326880442042204, 0.1369822950085035, -0.22679780089001386, 0.01565207402736689, -0.29993240196949816, -0.00784484042514185, -0.16896144791162046, 0.12513877645068763, -0.13845086469062276, -0.1036337568187473, 0.3431720435040893, 0.0901574611216234, 0.20237786013933812, 0.08188335639815084, 0.359184965653264, 0.09874134795286155, 0.06568897936944358, 0.1537287882471353, 0.31369648401203176, 0.16037518201505777, 0.11616831219043605, -0.17898885338127568, 0.035950636748594715, -0.06988249319715437] |
712.2239 | Go Long, Go Deep: Finding Optical Jet Breaks for Swift-Era GRBs with the
LBT | Using the 8.4m Large Binocular Telescope, we observed six GRB afterglows from
2.8 hours to 30.8 days after the burst triggers to systematically probe the
late time behaviors of afterglows including jet breaks, flares, and supernova
bumps. We detected five afterglows with Sloan r' magnitudes ranging from
23.0-26.3 mag. The depth of our observations allows us to extend the temporal
baseline for measuring jet breaks by another decade in time scale. We detected
two jet breaks and a third candidate, all of which are not detectable without
deep, late time optical observations. In the other three cases, we do not
detect the jet breaks either because of contamination from the host galaxy
light, the presence of a supernova bump, or the intrinsic faintness of the
optical afterglow.
This suggests that the basic picture that GRBs are collimated is still valid
and that the apparent lack of Swift jet breaks is due to poorly sampled
afterglow light curves, particularly at late times.
| astro-ph | using the 84m large binocular telescope we observed six grb afterglows from 28 hours to 308 days after the burst triggers to systematically probe the late time behaviors of afterglows including jet breaks flares and supernova bumps we detected five afterglows with sloan r magnitudes ranging from 230263 mag the depth of our observations allows us to extend the temporal baseline for measuring jet breaks by another decade in time scale we detected two jet breaks and a third candidate all of which are not detectable without deep late time optical observations in the other three cases we do not detect the jet breaks either because of contamination from the host galaxy light the presence of a supernova bump or the intrinsic faintness of the optical afterglow this suggests that the basic picture that grbs are collimated is still valid and that the apparent lack of swift jet breaks is due to poorly sampled afterglow light curves particularly at late times | [['using', 'the', '84m', 'large', 'binocular', 'telescope', 'we', 'observed', 'six', 'grb', 'afterglows', 'from', '28', 'hours', 'to', '308', 'days', 'after', 'the', 'burst', 'triggers', 'to', 'systematically', 'probe', 'the', 'late', 'time', 'behaviors', 'of', 'afterglows', 'including', 'jet', 'breaks', 'flares', 'and', 'supernova', 'bumps', 'we', 'detected', 'five', 'afterglows', 'with', 'sloan', 'r', 'magnitudes', 'ranging', 'from', '230263', 'mag', 'the', 'depth', 'of', 'our', 'observations', 'allows', 'us', 'to', 'extend', 'the', 'temporal', 'baseline', 'for', 'measuring', 'jet', 'breaks', 'by', 'another', 'decade', 'in', 'time', 'scale', 'we', 'detected', 'two', 'jet', 'breaks', 'and', 'a', 'third', 'candidate', 'all', 'of', 'which', 'are', 'not', 'detectable', 'without', 'deep', 'late', 'time', 'optical', 'observations', 'in', 'the', 'other', 'three', 'cases', 'we', 'do', 'not', 'detect', 'the', 'jet', 'breaks', 'either', 'because', 'of', 'contamination', 'from', 'the', 'host', 'galaxy', 'light', 'the', 'presence', 'of', 'a', 'supernova', 'bump', 'or', 'the', 'intrinsic', 'faintness', 'of', 'the', 'optical', 'afterglow', 'this', 'suggests', 'that', 'the', 'basic', 'picture', 'that', 'grbs', 'are', 'collimated', 'is', 'still', 'valid', 'and', 'that', 'the', 'apparent', 'lack', 'of', 'swift', 'jet', 'breaks', 'is', 'due', 'to', 'poorly', 'sampled', 'afterglow', 'light', 'curves', 'particularly', 'at', 'late', 'times']] | [-0.0660781393164143, 0.13874954146303936, -0.0909635032672668, 0.13517357615419315, -0.1633805469260551, -0.13317279319308, 0.0456365576654207, 0.4739511270337971, -0.19059131563117263, -0.3384080626070499, 0.08867567421475542, -0.3047797172549508, -0.0054074359839432875, 0.20374785215753946, -0.03004216990666464, -0.030420148622943087, 0.08047951369662769, -0.14211741315084508, -0.08774970279700937, -0.2520690080818895, 0.22765171979845036, 0.064321405546616, 0.19793532726380364, -0.024460991688101785, 0.10138232937897555, -0.032600371188891586, -0.09185120658366941, -0.03418588257546844, -0.06192568940382444, -0.00576649398826703, 0.1977603234592607, 0.12627179408009398, 0.202539893402718, -0.4205300465167966, -0.22194809040902327, 0.13665074065938826, 0.1651411474973429, 0.05030562541633117, 0.016827960903174243, -0.2889143475811579, 0.04723469314631075, -0.16633550024125726, -0.18813342685753015, 0.05103759547346272, 0.05054863026889507, 0.0073613235024822645, -0.16194195866482913, 0.130767837408348, 0.005942596899694763, 0.08131703441613354, -0.06851068975265662, 0.009666133552673272, -0.027585301431099652, 0.07975837754202075, 0.12395200257597025, 0.07202542617451399, 0.11895816812466364, -0.1647047891994589, -0.058308820120873864, 0.43982398191583344, -0.06785241951874924, 0.10425505766761489, 0.20731191921513528, -0.22488218259495624, -0.1876528386870632, 0.2098421004950069, 0.14399534276235498, 0.09883872590726242, -0.15466215750639095, -0.03531853437998507, 0.025834300692076796, 0.20792089159949684, 0.04840949805220589, 0.08785496692999004, 0.284037126385374, 0.128150732757058, -0.02630725735143642, 0.09373024641063239, -0.30038697906420564, 0.01903831260278821, -0.3022553463408258, -0.05638406520156423, -0.1439358010142314, 0.12176300873597938, -0.10539272086434721, -0.09109540862264112, 0.4459201941092033, 0.11227998469548765, 0.212603972456418, 0.06518900282608228, 0.27730501162295695, 0.02381069914044929, 0.13460745775373653, 0.12990879063872854, 0.3723830332106445, 0.06349138806326664, 0.13066377564391587, -0.1915173634137318, 0.09379142304824199, 0.007224157376913354] |
712.224 | Observational Selection Effects in Quantum Cosmology | Scientific theories need to be testable by observations, say using Bayes'
theorem. A complete theory needs at least the three parts of dynamical laws for
specified physical variables, the correct solution of the dynamical laws
(boundary conditions), and the connection with observations or experience or
conscious perceptions (laws of psycho-physical parallelism). Principles are
proposed for Bayesian meta-theories. One framework that obeys these principles
is Sensible Quantum Mechanics (SQM), which is discussed. In principle, it
allows one to test between single-history and many-worlds theories, and to
discuss threats to certain theories from fake universes and Boltzmann brains.
The threat of fake universes may be dismissed if one doubts the
substrate-independence of consciousness, which seems very implausible in the
SQM framework. Boltzmann brains seem more problematic, though there are many
conceivable solutions. SQM also suggests the possibility that past steps along
our evolutionary ancestry may be so rare that they have occurred nowhere else
within the part of the universe that we can observe.
| hep-th | scientific theories need to be testable by observations say using bayes theorem a complete theory needs at least the three parts of dynamical laws for specified physical variables the correct solution of the dynamical laws boundary conditions and the connection with observations or experience or conscious perceptions laws of psychophysical parallelism principles are proposed for bayesian metatheories one framework that obeys these principles is sensible quantum mechanics sqm which is discussed in principle it allows one to test between singlehistory and manyworlds theories and to discuss threats to certain theories from fake universes and boltzmann brains the threat of fake universes may be dismissed if one doubts the substrateindependence of consciousness which seems very implausible in the sqm framework boltzmann brains seem more problematic though there are many conceivable solutions sqm also suggests the possibility that past steps along our evolutionary ancestry may be so rare that they have occurred nowhere else within the part of the universe that we can observe | [['scientific', 'theories', 'need', 'to', 'be', 'testable', 'by', 'observations', 'say', 'using', 'bayes', 'theorem', 'a', 'complete', 'theory', 'needs', 'at', 'least', 'the', 'three', 'parts', 'of', 'dynamical', 'laws', 'for', 'specified', 'physical', 'variables', 'the', 'correct', 'solution', 'of', 'the', 'dynamical', 'laws', 'boundary', 'conditions', 'and', 'the', 'connection', 'with', 'observations', 'or', 'experience', 'or', 'conscious', 'perceptions', 'laws', 'of', 'psychophysical', 'parallelism', 'principles', 'are', 'proposed', 'for', 'bayesian', 'metatheories', 'one', 'framework', 'that', 'obeys', 'these', 'principles', 'is', 'sensible', 'quantum', 'mechanics', 'sqm', 'which', 'is', 'discussed', 'in', 'principle', 'it', 'allows', 'one', 'to', 'test', 'between', 'singlehistory', 'and', 'manyworlds', 'theories', 'and', 'to', 'discuss', 'threats', 'to', 'certain', 'theories', 'from', 'fake', 'universes', 'and', 'boltzmann', 'brains', 'the', 'threat', 'of', 'fake', 'universes', 'may', 'be', 'dismissed', 'if', 'one', 'doubts', 'the', 'substrateindependence', 'of', 'consciousness', 'which', 'seems', 'very', 'implausible', 'in', 'the', 'sqm', 'framework', 'boltzmann', 'brains', 'seem', 'more', 'problematic', 'though', 'there', 'are', 'many', 'conceivable', 'solutions', 'sqm', 'also', 'suggests', 'the', 'possibility', 'that', 'past', 'steps', 'along', 'our', 'evolutionary', 'ancestry', 'may', 'be', 'so', 'rare', 'that', 'they', 'have', 'occurred', 'nowhere', 'else', 'within', 'the', 'part', 'of', 'the', 'universe', 'that', 'we', 'can', 'observe']] | [-0.08260885241617859, 0.14699044515471327, -0.1712830641468906, 0.13529652724424318, -0.14455121433252457, -0.19219952657303963, 0.051962656737594454, 0.33989928494878574, -0.24230903690183384, -0.3061241210553642, 0.08132273138223088, -0.25341944061141963, -0.1603617151405211, 0.16106242093587328, -0.10851312842168007, 0.03926248878229016, 0.06888108172234125, 0.03712327273053505, -0.016012300698156033, -0.2755088314460301, 0.3287274915210162, 0.025567011565681523, 0.24874195157729598, 0.028320612177622984, 0.099171571450898, -0.07450036841635563, -0.005585074372682142, 0.02988336366884734, -0.0780120143004887, 0.09147358970624042, 0.29777044218513676, 0.23641866245538412, 0.3169053351529729, -0.4763003973556416, -0.23551617093638788, 0.11599166117180486, 0.1088846461805486, 0.09957084442801219, 0.01217434338179362, -0.2812643397602351, 0.07425598529028643, -0.14290189267257633, -0.18577144787247693, -0.0982346749952734, 0.013879701668708961, -0.062385916565284597, -0.1907311599363243, 0.10496950697320838, 0.04036746726979455, 0.034555261043588754, -0.05485632138432333, -0.07090726478013748, -0.004004222985866092, 0.08475221328506743, 0.09285277427067136, -0.0025433379757617202, 0.13984312264028914, -0.13169686143468742, -0.15075971368087096, 0.4178033057912629, 0.025805948908810983, -0.1845429746364677, 0.20347143206470616, -0.13984442035297384, -0.1860568679793975, 0.08088467472705771, 0.07047109114098715, 0.08556661087880779, -0.18920599551067357, 0.04315960782967647, -0.024816968078401103, 0.15476183839914567, 0.07572370984914036, 0.027753532901753364, 0.30734865890919977, 0.09962205276520841, 0.0016707138122950234, 0.011997333924092283, 0.008663312961515155, -0.16503115606303356, -0.34915681155499717, -0.14137122461641705, -0.13759829111177452, 0.08721355241231667, -0.09070473922791121, -0.14603500951208775, 0.3060772703173831, 0.19176586506590362, 0.11331115510789765, 0.0533925923996067, 0.22826368504012964, 0.06284591964350562, 0.08742523764879066, 0.09704246727159675, 0.2678276559241081, 0.10941463438736171, 0.1136971850422506, -0.12942753172470892, 0.11201636635796716, 0.023996588651102428] |
712.2241 | On the newly discovered Canes Venatici II dSph galaxy | We report on the detection of variable stars in the Canes Venatici II (CVn
II) dwarf spheroidal galaxy, a new satellite of the Milky Way recently
discovered by the Sloan Digital Sky Survey. We also present a V, B-V
color-magnitude diagram that reaches V = 25.5 mag, showing the galaxy's main
sequence turn off at V = 24.5 mag and revealing several candidate blue
straggler stars. Two RR Lyrae stars have been identified within the half-light
radius of CVn II,a fundamental-mode variable (RRab) with period P_ab = 0.743
days, and a first-overtone (RRc) RR Lyrae star with P_c = 0.358 days. The
rather long periods of these variables along with their position on the
period-amplitude diagram support an Oosterhoff type II classification for CVn
II. The average apparent magnitude of the RR Lyrae stars, <V> = 21.48 +/- 0.02
mag, is used to obtain a precision distance modulus of mu_0 = 21.02 +/- 0.06
mag and a corresponding distance of 160(+4,-5} kpc, for an adopted reddening
E(B-V) = 0.015 mag.
| astro-ph | we report on the detection of variable stars in the canes venatici ii cvn ii dwarf spheroidal galaxy a new satellite of the milky way recently discovered by the sloan digital sky survey we also present a v bv colormagnitude diagram that reaches v 255 mag showing the galaxys main sequence turn off at v 245 mag and revealing several candidate blue straggler stars two rr lyrae stars have been identified within the halflight radius of cvn iia fundamentalmode variable rrab with period p_ab 0743 days and a firstovertone rrc rr lyrae star with p_c 0358 days the rather long periods of these variables along with their position on the periodamplitude diagram support an oosterhoff type ii classification for cvn ii the average apparent magnitude of the rr lyrae stars v 2148 002 mag is used to obtain a precision distance modulus of mu_0 2102 006 mag and a corresponding distance of 16045 kpc for an adopted reddening ebv 0015 mag | [['we', 'report', 'on', 'the', 'detection', 'of', 'variable', 'stars', 'in', 'the', 'canes', 'venatici', 'ii', 'cvn', 'ii', 'dwarf', 'spheroidal', 'galaxy', 'a', 'new', 'satellite', 'of', 'the', 'milky', 'way', 'recently', 'discovered', 'by', 'the', 'sloan', 'digital', 'sky', 'survey', 'we', 'also', 'present', 'a', 'v', 'bv', 'colormagnitude', 'diagram', 'that', 'reaches', 'v', '255', 'mag', 'showing', 'the', 'galaxys', 'main', 'sequence', 'turn', 'off', 'at', 'v', '245', 'mag', 'and', 'revealing', 'several', 'candidate', 'blue', 'straggler', 'stars', 'two', 'rr', 'lyrae', 'stars', 'have', 'been', 'identified', 'within', 'the', 'halflight', 'radius', 'of', 'cvn', 'iia', 'fundamentalmode', 'variable', 'rrab', 'with', 'period', 'p_ab', '0743', 'days', 'and', 'a', 'firstovertone', 'rrc', 'rr', 'lyrae', 'star', 'with', 'p_c', '0358', 'days', 'the', 'rather', 'long', 'periods', 'of', 'these', 'variables', 'along', 'with', 'their', 'position', 'on', 'the', 'periodamplitude', 'diagram', 'support', 'an', 'oosterhoff', 'type', 'ii', 'classification', 'for', 'cvn', 'ii', 'the', 'average', 'apparent', 'magnitude', 'of', 'the', 'rr', 'lyrae', 'stars', 'v', '2148', '002', 'mag', 'is', 'used', 'to', 'obtain', 'a', 'precision', 'distance', 'modulus', 'of', 'mu_0', '2102', '006', 'mag', 'and', 'a', 'corresponding', 'distance', 'of', '16045', 'kpc', 'for', 'an', 'adopted', 'reddening', 'ebv', '0015', 'mag']] | [-0.05975712041690713, 0.09025839512269158, -0.0974298199871555, 0.05567184028404881, -0.1766936274623731, -0.12212342165294103, 0.19590539382988936, 0.43459923402406275, -0.14845402716018724, -0.3340689964476041, -0.012519832657562801, -0.3298837256816114, -0.04202792635769583, 0.19321674192906357, -0.16472004833485698, -0.09099455930918339, 0.08554680342494976, -0.039785951277735876, -0.06611027744365856, -0.3831609467379167, 0.17757761721732096, -0.12358662051265128, 0.1301287172420416, -0.22292647379799746, 0.025089278526138514, -0.08805676886549918, -0.10459866043183866, -0.07504842346825172, -0.2204362686100012, 0.0002912826093961485, 0.2005555225943681, 0.11165123257815139, 0.20969888033287135, -0.20903513159428258, -0.1238270285373801, 0.05019588125287555, 0.2790613029763335, -0.04594998651300557, -0.029118960355117452, -0.317627158772666, 0.09852957194234477, -0.15327500601051725, -0.23446078746637794, 0.14070735716377386, 0.24372479071171255, 0.07289504316722742, -0.18587278840423097, 0.20254225787120958, -0.007682883048255462, 0.22750010585878044, -0.14558954419044312, -0.2326176665024832, -0.09364122385741211, 0.02638678499497473, -0.03576887854287634, 0.19878798215650023, 0.07856563127570552, -0.10900399308884516, 0.0034186279495770576, 0.4010795131791383, -0.09437904403021094, 0.11653683617478236, 0.12285661659843754, -0.13677685257280245, -0.1561317068815697, 0.040048674393801775, 0.10750533180544153, 0.1467907094018301, -0.23190566872654017, 0.01576096165990748, 0.06214622017359943, 0.2574063313979423, 0.0738447836789419, 0.12088931276093717, 0.3330028413096443, 0.1098926442926313, 0.04618579875386786, 0.0022759025188861413, -0.4211413629935123, -0.019760598291031783, -0.2728274884459097, -0.06710243099878425, -0.06498672126945167, 0.10384667587386502, -0.23746715015995506, -0.14146536138141527, 0.34126362067472654, 0.0373591788662452, 0.206515831881552, 0.039415470190579074, 0.2184081426832563, 0.09139348638709635, 0.12484775537423047, 0.13211151662108023, 0.3591438743635081, 0.2599694761578576, 0.11208230973570607, -0.2377654348179931, 0.0569535225542495, 0.06690822436939925] |
712.2242 | On Signatures of Atmospheric Features in Thermal Phase Curves of Hot
Jupiters | Turbulence is ubiquitous in Solar System planetary atmospheres. In hot
Jupiter atmospheres, the combination of moderately slow rotation and thick
pressure scale height may result in dynamical weather structures with unusually
large, planetary-size scales. Using equivalent-barotropic, turbulent
circulation models, we illustrate how such structures can generate a variety of
features in the thermal phase curves of hot Jupiters, including phase shifts
and deviations from periodicity. Such features may have been spotted in the
recent infrared phase curve of HD 189733b. Despite inherent difficulties with
the interpretation of disk-integrated quantities, phase curves promise to offer
unique constraints on the nature of the circulation regime present on hot
Jupiters.
| astro-ph | turbulence is ubiquitous in solar system planetary atmospheres in hot jupiter atmospheres the combination of moderately slow rotation and thick pressure scale height may result in dynamical weather structures with unusually large planetarysize scales using equivalentbarotropic turbulent circulation models we illustrate how such structures can generate a variety of features in the thermal phase curves of hot jupiters including phase shifts and deviations from periodicity such features may have been spotted in the recent infrared phase curve of hd 189733b despite inherent difficulties with the interpretation of diskintegrated quantities phase curves promise to offer unique constraints on the nature of the circulation regime present on hot jupiters | [['turbulence', 'is', 'ubiquitous', 'in', 'solar', 'system', 'planetary', 'atmospheres', 'in', 'hot', 'jupiter', 'atmospheres', 'the', 'combination', 'of', 'moderately', 'slow', 'rotation', 'and', 'thick', 'pressure', 'scale', 'height', 'may', 'result', 'in', 'dynamical', 'weather', 'structures', 'with', 'unusually', 'large', 'planetarysize', 'scales', 'using', 'equivalentbarotropic', 'turbulent', 'circulation', 'models', 'we', 'illustrate', 'how', 'such', 'structures', 'can', 'generate', 'a', 'variety', 'of', 'features', 'in', 'the', 'thermal', 'phase', 'curves', 'of', 'hot', 'jupiters', 'including', 'phase', 'shifts', 'and', 'deviations', 'from', 'periodicity', 'such', 'features', 'may', 'have', 'been', 'spotted', 'in', 'the', 'recent', 'infrared', 'phase', 'curve', 'of', 'hd', '189733b', 'despite', 'inherent', 'difficulties', 'with', 'the', 'interpretation', 'of', 'diskintegrated', 'quantities', 'phase', 'curves', 'promise', 'to', 'offer', 'unique', 'constraints', 'on', 'the', 'nature', 'of', 'the', 'circulation', 'regime', 'present', 'on', 'hot', 'jupiters']] | [-0.14798369201931305, 0.20086409583510387, -0.1253645739196578, 0.05652158880451073, -0.08971480842502344, -0.051645911226625596, 0.026016306411474944, 0.3622978195193268, -0.25106287082391127, -0.3277918666512484, 0.11118626323406629, -0.2616296503160681, -0.14931617626875993, 0.24713208442775622, -0.13953724939021325, 0.06285532390964883, 0.09468667500519327, -0.10711776790918694, -0.011031430689174504, -0.17382166160470142, 0.27770257805074966, 0.04648786938217069, 0.14730272552974166, 0.015357622364535927, 0.0033415263962178004, -0.13663434512868877, -0.0033350947978241104, -0.013445294701627322, -0.12486622380979714, 0.02749215460692843, 0.2228514275174391, 0.07253411271875458, 0.1458520749750148, -0.4428657718180191, -0.35368964828196026, 0.07110220766404556, 0.14152153840931575, 0.05426027987684522, -0.06657804544527261, -0.21541210554894946, 0.015527714305512962, -0.13277351439353965, -0.17377723240781398, -0.09177590453376373, 0.05286266085292612, 0.01326005773652079, -0.24441510373283, 0.10310219162631602, 0.03831558626095232, 0.2028999829753524, -0.10141571725363888, -0.11824138063294369, -0.08572655484590325, 0.08256994222867348, 0.05107418969051824, -0.04265121422885429, 0.1495594575158542, -0.13811499275699524, -0.041328309529594015, 0.4688555685537202, -0.15917123218310908, -0.026749769283369893, 0.2725319555029273, -0.22785398120592748, -0.12580635051376055, 0.20166879457732043, 0.20076269956216924, 0.09104216235822865, -0.10011514213290952, 0.027476562487538016, -0.035740455470624426, 0.17647975008890388, 0.05438209392041678, 0.09145135373054515, 0.40008978769183157, 0.15530144403095447, 0.014207070221060089, 0.07588933763271641, -0.21541223662151468, -0.11961925238636988, -0.16120100887048813, -0.08251940681698865, -0.109737513409484, 0.028066304752913614, -0.10830034787428476, -0.17722669196802945, 0.3647044163906858, 0.17680179186364903, 0.21084507349435064, -0.03959403919898683, 0.3366916169656352, 0.06083645504466923, 0.0649363940492982, 0.124661478821543, 0.27091019438313585, 0.16826951951231986, 0.1598779295615497, -0.2527880150669565, 0.09554216080799788, 0.01295307710367654] |
712.2243 | On interactions of higher spin fields with gravity and branes in AdS_5 | We construct actions of higher spin fields interacting with gravity on AdS_5
backgrounds such that the Compton scattering amplitudes of the interaction are
tree-level unitary. We then consider higher-spin fields in the Randall-Sundrum
scenario. There, in the fermionic case, we construct a tree-level unitary
action of higher spin fields interacting with branes and linearised gravity. In
the bosonic case we show that this is not in general possible. A tree-level
unitary action of bosonic higher spins interacting with linearised gravity and
branes is only possible in the following cases: The brane is a pure tension
brane and/or Dirichlet boundary conditions are imposed thereby making bosonic
higher spin fields invisible to a brane observer. We finally show that higher
spins in Randall-Sundrum II braneworlds can only be produced by (decay into)
gravitons at trans-Planckian scales. We end by commenting on the possible
relevance of higher-spin unparticles as Dark Matter candidates.
| hep-th astro-ph gr-qc hep-ph | we construct actions of higher spin fields interacting with gravity on ads_5 backgrounds such that the compton scattering amplitudes of the interaction are treelevel unitary we then consider higherspin fields in the randallsundrum scenario there in the fermionic case we construct a treelevel unitary action of higher spin fields interacting with branes and linearised gravity in the bosonic case we show that this is not in general possible a treelevel unitary action of bosonic higher spins interacting with linearised gravity and branes is only possible in the following cases the brane is a pure tension brane andor dirichlet boundary conditions are imposed thereby making bosonic higher spin fields invisible to a brane observer we finally show that higher spins in randallsundrum ii braneworlds can only be produced by decay into gravitons at transplanckian scales we end by commenting on the possible relevance of higherspin unparticles as dark matter candidates | [['we', 'construct', 'actions', 'of', 'higher', 'spin', 'fields', 'interacting', 'with', 'gravity', 'on', 'ads_5', 'backgrounds', 'such', 'that', 'the', 'compton', 'scattering', 'amplitudes', 'of', 'the', 'interaction', 'are', 'treelevel', 'unitary', 'we', 'then', 'consider', 'higherspin', 'fields', 'in', 'the', 'randallsundrum', 'scenario', 'there', 'in', 'the', 'fermionic', 'case', 'we', 'construct', 'a', 'treelevel', 'unitary', 'action', 'of', 'higher', 'spin', 'fields', 'interacting', 'with', 'branes', 'and', 'linearised', 'gravity', 'in', 'the', 'bosonic', 'case', 'we', 'show', 'that', 'this', 'is', 'not', 'in', 'general', 'possible', 'a', 'treelevel', 'unitary', 'action', 'of', 'bosonic', 'higher', 'spins', 'interacting', 'with', 'linearised', 'gravity', 'and', 'branes', 'is', 'only', 'possible', 'in', 'the', 'following', 'cases', 'the', 'brane', 'is', 'a', 'pure', 'tension', 'brane', 'andor', 'dirichlet', 'boundary', 'conditions', 'are', 'imposed', 'thereby', 'making', 'bosonic', 'higher', 'spin', 'fields', 'invisible', 'to', 'a', 'brane', 'observer', 'we', 'finally', 'show', 'that', 'higher', 'spins', 'in', 'randallsundrum', 'ii', 'braneworlds', 'can', 'only', 'be', 'produced', 'by', 'decay', 'into', 'gravitons', 'at', 'transplanckian', 'scales', 'we', 'end', 'by', 'commenting', 'on', 'the', 'possible', 'relevance', 'of', 'higherspin', 'unparticles', 'as', 'dark', 'matter', 'candidates']] | [-0.1699330915990692, 0.2929510263626107, -0.04669263503270461, 0.12625931039133778, -0.11110847463187505, -0.193786816637113, -0.03976268503477409, 0.3283912632551869, -0.13437780246901132, -0.2257082637886973, 0.044445982408372296, -0.27310450627131, -0.10735711919443819, 0.10727847846937459, -0.016520450543299717, -0.01436610882101743, -0.019465199881077012, 0.07862602483681184, -0.0791492100626124, -0.3034065587355462, 0.3854781074897502, 0.01964093322221865, 0.21649648019131398, 0.02074804558456194, 0.09946559431131353, 0.00103451483476682, 0.025309469307079013, -0.020019537001143967, -0.09323121015924528, 0.06398678995081342, 0.22833542946465127, 0.050264442717693994, 0.0884208045040426, -0.482855720795541, -0.2254219584467027, 0.11028098421258814, 0.18923085435424875, 0.20889379499455127, -0.019944764962794896, -0.3219815712240868, 0.029552349156618817, -0.19867150281124668, -0.1420923269122539, -0.04795251502155408, -0.0033124771669207002, -0.14651604671103116, -0.25288867659635544, 0.09957847177932326, 0.022450243093576534, -0.0006245988602406226, -0.09105586329117205, -0.05935712227200927, -0.07839981534974587, 0.02349943974236614, 0.14009797087817408, 0.020316833130165236, 0.16316104679049662, -0.23023762950523688, -0.15933312133467137, 0.36470178622696175, -0.14423033715602349, -0.257580630915652, 0.2194856445917597, -0.18219997415681613, -0.1336674449134043, 0.0729860990627, 0.1218036462255166, 0.15841383062265563, -0.14342313371801862, 0.2274243476849062, -0.009002924645975883, 0.10697647871687108, 0.12655483408762305, 0.06791235786126676, 0.33509420367089043, 0.10376368545623958, 0.03966957237805871, 0.16988827169313403, -0.019585614547370966, -0.0870694271900188, -0.40679136016124845, -0.131836811555612, -0.10819170886381911, 0.10844031889892056, -0.14152729428109975, -0.11716027269077381, 0.33376619277284447, 0.1552307170240721, 0.15145824775849812, 0.05510995132167317, 0.2184242070621292, 0.09599791752133868, 0.06165381957114293, 0.0666546340713015, 0.2894200973287725, 0.13174750472437716, 0.04001946427434333, -0.25227146553213164, -0.15197498499784592, 0.09139468140225082] |
712.2244 | How to Create a New Integer Sequence | There are several standard procedures used to create new sequences from a
given sequence or from a given pair of sequences. In this paper I discuss the
most popular of these procedures. For each procedure, I give a definition and
provide examples based on three famous sequences: the natural numbers, the
prime numbers and the Fibonacci numbers. I also add my thoughts on what makes a
sequence interesting. My goal is to help my readers invent new sequences,
differentiate interesting sequences from boring ones, and better understand
sequences they encounter.
| math.CO math.GM | there are several standard procedures used to create new sequences from a given sequence or from a given pair of sequences in this paper i discuss the most popular of these procedures for each procedure i give a definition and provide examples based on three famous sequences the natural numbers the prime numbers and the fibonacci numbers i also add my thoughts on what makes a sequence interesting my goal is to help my readers invent new sequences differentiate interesting sequences from boring ones and better understand sequences they encounter | [['there', 'are', 'several', 'standard', 'procedures', 'used', 'to', 'create', 'new', 'sequences', 'from', 'a', 'given', 'sequence', 'or', 'from', 'a', 'given', 'pair', 'of', 'sequences', 'in', 'this', 'paper', 'i', 'discuss', 'the', 'most', 'popular', 'of', 'these', 'procedures', 'for', 'each', 'procedure', 'i', 'give', 'a', 'definition', 'and', 'provide', 'examples', 'based', 'on', 'three', 'famous', 'sequences', 'the', 'natural', 'numbers', 'the', 'prime', 'numbers', 'and', 'the', 'fibonacci', 'numbers', 'i', 'also', 'add', 'my', 'thoughts', 'on', 'what', 'makes', 'a', 'sequence', 'interesting', 'my', 'goal', 'is', 'to', 'help', 'my', 'readers', 'invent', 'new', 'sequences', 'differentiate', 'interesting', 'sequences', 'from', 'boring', 'ones', 'and', 'better', 'understand', 'sequences', 'they', 'encounter']] | [-0.08177259425736136, 0.07178199502329032, -0.12615848151553008, 0.1765450008834402, -0.12802904271261972, -0.1922560622708665, 0.05465559992913364, 0.3609554174252682, -0.2807128473249678, -0.3129325540529357, 0.08834750397622379, -0.2788666574801836, -0.19714057982847508, 0.24302531174228836, -0.17181010394253665, -0.0319151807977404, 0.09977353641038968, 0.08494630317080817, 0.007710095007334732, -0.2980967484621538, 0.33839580029663113, 0.0016594291147258547, 0.20195810067363912, -0.05614530771142907, 0.06227242062644412, -0.013272206112742425, -0.07533298180593799, -0.06027264368409912, -0.1739187654107809, 0.17126922439783812, 0.23777989009395242, 0.22490375218395559, 0.3085878095201527, -0.4075013620364997, -0.08867360955466413, 0.11659392969061931, 0.13458374550229765, 0.12088916329408271, -0.08853996955634405, -0.26084939775367577, 0.08937358784411724, -0.12221860913818496, -0.08099271944827503, -0.09089302903610386, 0.02555438470509317, 0.09354421227730604, -0.2427998305608829, -0.04253833491335778, 0.07829635163976087, 0.09465539693418476, 0.030374638635354737, -0.1852534675453272, 0.08882962765896486, 0.17851291583695758, 0.08496417876384739, 0.02726653364693953, 0.034319526283070445, -0.06244842110770858, -0.1571090526257952, 0.39538404871192245, 0.024011614587571888, -0.20097995492267526, 0.2325111382977209, -0.08418710198667315, -0.18692917680341958, 0.09999047802347276, 0.11202624255998267, 0.1309732176622169, -0.12446336812443204, -0.03557105290173139, -0.017756555252708493, 0.16536916181859043, 0.1131331990317752, 0.03233088393592172, 0.26680167880323197, 0.09648812241438362, -0.023982649895414297, 0.1265986261682378, -0.008399514797040158, -0.05904681997684141, -0.3163266397572847, -0.16797049892548885, -0.15626060248921728, 0.06633704533127861, -0.026756000875320752, -0.14605746366368194, 0.4065097686731153, 0.21307775707294543, 0.20158568937396112, 0.05384329371154308, 0.24077492931650746, 0.019964848189718193, 0.03808484738951342, 0.009466393648957213, 0.09310542291237248, 0.10738454166696304, 0.11272870790109867, -0.07243630334786656, 0.020680008580287297, 0.09984834210740196] |
712.2245 | Exact and Approximate Expressions for the Probability of Undetected
Error of Varshamov-Tenengol'ts Codes | Computation of the undetected error probability for error correcting codes
over the Z-channel is an important issue, explored only in part in previous
literature. In this paper we consider the case of Varshamov-Tenengol'ts codes,
by presenting some analytical, numerical, and heuristic methods for unveiling
this additional feature. Possible comparisons with Hamming codes are also shown
and discussed.
| cs.IT math.IT | computation of the undetected error probability for error correcting codes over the zchannel is an important issue explored only in part in previous literature in this paper we consider the case of varshamovtenengolts codes by presenting some analytical numerical and heuristic methods for unveiling this additional feature possible comparisons with hamming codes are also shown and discussed | [['computation', 'of', 'the', 'undetected', 'error', 'probability', 'for', 'error', 'correcting', 'codes', 'over', 'the', 'zchannel', 'is', 'an', 'important', 'issue', 'explored', 'only', 'in', 'part', 'in', 'previous', 'literature', 'in', 'this', 'paper', 'we', 'consider', 'the', 'case', 'of', 'varshamovtenengolts', 'codes', 'by', 'presenting', 'some', 'analytical', 'numerical', 'and', 'heuristic', 'methods', 'for', 'unveiling', 'this', 'additional', 'feature', 'possible', 'comparisons', 'with', 'hamming', 'codes', 'are', 'also', 'shown', 'and', 'discussed']] | [-0.15495564737724826, -0.009768555518556304, -0.004193859105406885, 0.13231785117297254, 0.025949496645153614, -0.20249719474987501, 0.06693753915667337, 0.42837872604529065, -0.24639725426963546, -0.28155520850825205, 0.1376108854392282, -0.2551402386457643, -0.1815566932292361, 0.22102977566649779, -0.13147436728519224, 0.13490069136350302, 0.0965695595368743, 0.019085446470662168, -0.12743559968351437, -0.3332298322245805, 0.3181310133812459, 0.18830005497786037, 0.19517222897296674, 0.030178424265039593, 0.03930828520995483, -0.013217615249583073, -0.14967778179663838, -0.010012515395749034, -0.19893000462795035, 0.11895468229787391, 0.3027243941630188, 0.12633989074087718, 0.26553803447045776, -0.35082293460308983, -0.26565575959128246, 0.07998761843497816, 0.20988233327832923, 0.19519412891710536, -0.10699286813880399, -0.23187575371233388, 0.10072639088652897, -0.1936401137265197, -0.03245992040294304, -0.030787338110569277, 0.02976614381125393, -0.0028558118399559405, -0.244376562078271, 0.04804439031827394, 0.07465932987172876, 0.0897582381669628, -0.04461347260267327, -0.21411539189386786, 0.11216760148996846, 0.10779271736381608, 0.0708297870322049, 0.03941165266166392, -0.005479135509711085, -0.09507592333676784, -0.1383288199114695, 0.33748088123505576, 0.02588463827902288, -0.22185541310331278, 0.12115485984178488, -0.067396311048549, -0.1566112226512479, 0.10223059203315388, 0.16119206319318005, 0.09495508075250607, -0.12245542025030182, 0.08030232463415973, -0.03886045871727299, 0.14528324457065186, 0.06354128923103736, 0.10829331573883169, 0.13151228267764836, 0.1343225555069614, 0.022805161953887397, 0.17541866977454015, -0.08833366308949496, -0.09756153112935033, -0.32575537202258903, -0.13211013061370244, -0.16333745594806315, -0.018054851682105084, -0.07597291234241423, -0.12650345834615445, 0.36390085590251703, 0.2011683753348495, 0.12998049190061642, 0.09513223996353254, 0.32422166082419845, 0.04904947831017668, 0.04643330347250428, 0.16897828310009158, 0.2491655881672877, 0.1224750824509548, -0.003915697901934516, -0.17315967647326097, 0.10382645890900963, 0.07776324336188273] |
712.2246 | Non-commutative Schur-Horn theorems and extended majorization for
hermitian matrices | Let $\mathcal A\subseteq \mat$ be a unital $*$-subalgebra of the algebra
$\mat$ of all $n\times n$ complex matrices and let $B$ be an hermitian matrix.
Let $\U_n(B)$ denote the unitary orbit of $B$ in $\mat$ and let $\mathcal
E_\mathcal A$ denote the trace preserving conditional expectation onto
$\mathcal A$. We give an spectral characterization of the set $$ \mathcal
E_\mathcal A(\U_n(B))=\{\mathcal E_\mathcal A(U^* B U): U\in \mat,\
\text{unitary matrix}\}.$$ We obtain a similar result for the contractive orbit
of a positive semi-definite matrix $B$. We then use these results to extend the
notions of majorization and submajorization between self-adjoint matrices to
spectral relations that come together with extended (non-commutative)
Schur-Horn type theorems.
| math.OA | let mathcal asubseteq mat be a unital subalgebra of the algebra mat of all ntimes n complex matrices and let b be an hermitian matrix let u_nb denote the unitary orbit of b in mat and let mathcal e_mathcal a denote the trace preserving conditional expectation onto mathcal a we give an spectral characterization of the set mathcal e_mathcal au_nbmathcal e_mathcal au b u uin mat textunitary matrix we obtain a similar result for the contractive orbit of a positive semidefinite matrix b we then use these results to extend the notions of majorization and submajorization between selfadjoint matrices to spectral relations that come together with extended noncommutative schurhorn type theorems | [['let', 'mathcal', 'asubseteq', 'mat', 'be', 'a', 'unital', 'subalgebra', 'of', 'the', 'algebra', 'mat', 'of', 'all', 'ntimes', 'n', 'complex', 'matrices', 'and', 'let', 'b', 'be', 'an', 'hermitian', 'matrix', 'let', 'u_nb', 'denote', 'the', 'unitary', 'orbit', 'of', 'b', 'in', 'mat', 'and', 'let', 'mathcal', 'e_mathcal', 'a', 'denote', 'the', 'trace', 'preserving', 'conditional', 'expectation', 'onto', 'mathcal', 'a', 'we', 'give', 'an', 'spectral', 'characterization', 'of', 'the', 'set', 'mathcal', 'e_mathcal', 'au_nbmathcal', 'e_mathcal', 'au', 'b', 'u', 'uin', 'mat', 'textunitary', 'matrix', 'we', 'obtain', 'a', 'similar', 'result', 'for', 'the', 'contractive', 'orbit', 'of', 'a', 'positive', 'semidefinite', 'matrix', 'b', 'we', 'then', 'use', 'these', 'results', 'to', 'extend', 'the', 'notions', 'of', 'majorization', 'and', 'submajorization', 'between', 'selfadjoint', 'matrices', 'to', 'spectral', 'relations', 'that', 'come', 'together', 'with', 'extended', 'noncommutative', 'schurhorn', 'type', 'theorems']] | [-0.1388139757025918, 0.08105628628578011, -0.04236956246421431, -0.043569030453606196, -0.055832457655385415, -0.20024330424213851, 0.001907410787815159, 0.306245778221637, -0.34822660525161253, -0.14305048210856816, 0.05120617192113531, -0.3088113192330908, -0.11343350391015755, 0.12452085821294329, -0.16973808430204237, -0.023363725183083228, 0.058107406090669056, 0.07064107276447532, -0.2083358753330281, -0.20767758808236708, 0.3356707972168267, -0.053160476877733516, 0.10724638974621754, 0.005648470362993302, 0.10058109417419743, 0.04784362463504766, 0.003184819007637324, -0.04507493540532542, -0.1641765884170228, 0.09636660462624773, 0.30324417350089383, 0.1938806698243651, 0.24335747793385828, -0.35589973721653223, -0.08957687562279817, 0.2964445128390152, 0.1227691873813186, -0.1320045464273318, 0.03639003244030324, -0.35583408106187425, 0.15858075130920582, -0.18856927250615424, -0.11212406036254295, -0.08046719204004923, 0.12994661132149674, -0.054827049978215386, -0.43413279534972926, 0.0012661224420837782, 0.13534186271351278, 0.08326091676846975, -0.0553445846868541, -0.17542764482829995, -0.07774979492468345, 0.0449331914100589, -0.13091394394480935, 0.09596545255529539, 0.09013242273229277, 0.08628108309305928, -0.10719787438305232, 0.31585227480779093, -0.08472743620061213, -0.21680347203208064, 0.09184852842655447, -0.20610879127074172, -0.10777434621316691, 0.04164599384077721, 0.13767376170424675, 0.14221158458989253, -0.05586382943309016, 0.27386596244253236, -0.19241844192664656, 0.08828556618687732, 0.05855730840832823, 0.03909745523964779, 0.11126151758987733, -0.010087146609159256, 0.10240871530819547, 0.10893340620074284, 0.05677116429864394, 0.03250928099387912, -0.32687869592121355, -0.16153959063187898, -0.1689639270782074, 0.22556656517985244, -0.1641989549514417, -0.16616340194984028, 0.3551441035578372, 0.07808524421933624, 0.2307827696721587, 0.13979325416773833, 0.12405177829485317, 0.07717894422037513, 0.02636148357393082, 0.10245938434403527, 0.05266945822923272, 0.35103488091799256, -0.019086206613186125, -0.18539077831277004, -0.05480021925393009, 0.22499313078717226] |
712.2247 | Lattice Boltzmann method for inhomogeneous fluids | We present a lattice-based numerical method to describe the non equilibrium
behavior of a simple fluid under non-uniform spatial conditions. The evolution
equation for the one-particle phase-space distribution function is derived
starting from a microscopic description of the system. It involves a series of
approximations which are similar to those employed in theories of inhomogeneous
fluids, such as Density Functional theory. Among the merits of the present
approach: the possibility to determine the equation of state of the model, the
transport coefficients and to provide an efficient method of numerical solution
under non-uniform conditions. The algorithm is tested in a particular non
equilibrium situation, namely the steady flow of a hard-sphere fluid across a
narrow slit. Pronounced non-hydrodynamic oscillations in the density and
velocity profiles are found.
| cond-mat.stat-mech cond-mat.other cond-mat.soft | we present a latticebased numerical method to describe the non equilibrium behavior of a simple fluid under nonuniform spatial conditions the evolution equation for the oneparticle phasespace distribution function is derived starting from a microscopic description of the system it involves a series of approximations which are similar to those employed in theories of inhomogeneous fluids such as density functional theory among the merits of the present approach the possibility to determine the equation of state of the model the transport coefficients and to provide an efficient method of numerical solution under nonuniform conditions the algorithm is tested in a particular non equilibrium situation namely the steady flow of a hardsphere fluid across a narrow slit pronounced nonhydrodynamic oscillations in the density and velocity profiles are found | [['we', 'present', 'a', 'latticebased', 'numerical', 'method', 'to', 'describe', 'the', 'non', 'equilibrium', 'behavior', 'of', 'a', 'simple', 'fluid', 'under', 'nonuniform', 'spatial', 'conditions', 'the', 'evolution', 'equation', 'for', 'the', 'oneparticle', 'phasespace', 'distribution', 'function', 'is', 'derived', 'starting', 'from', 'a', 'microscopic', 'description', 'of', 'the', 'system', 'it', 'involves', 'a', 'series', 'of', 'approximations', 'which', 'are', 'similar', 'to', 'those', 'employed', 'in', 'theories', 'of', 'inhomogeneous', 'fluids', 'such', 'as', 'density', 'functional', 'theory', 'among', 'the', 'merits', 'of', 'the', 'present', 'approach', 'the', 'possibility', 'to', 'determine', 'the', 'equation', 'of', 'state', 'of', 'the', 'model', 'the', 'transport', 'coefficients', 'and', 'to', 'provide', 'an', 'efficient', 'method', 'of', 'numerical', 'solution', 'under', 'nonuniform', 'conditions', 'the', 'algorithm', 'is', 'tested', 'in', 'a', 'particular', 'non', 'equilibrium', 'situation', 'namely', 'the', 'steady', 'flow', 'of', 'a', 'hardsphere', 'fluid', 'across', 'a', 'narrow', 'slit', 'pronounced', 'nonhydrodynamic', 'oscillations', 'in', 'the', 'density', 'and', 'velocity', 'profiles', 'are', 'found']] | [-0.13342591786874444, 0.08097224101879337, -0.18300362168187936, 0.050551244539876035, -0.004365783956591186, -0.12284637282888486, 0.0013347000505144553, 0.32644339825400687, -0.26465831753086505, -0.2741770216769825, 0.04744542359766792, -0.23389498320386165, -0.13803673531918778, 0.16304117608192106, 0.018851834998326742, 0.0873978921990497, 0.03483621279093048, 0.01897979199388578, -0.08591088670210575, -0.17728191201839097, 0.30463074340932367, 0.03342423020169051, 0.30615412391076874, 0.015555360965892731, 0.10844201777922356, -0.030139117356844422, -0.008049476668091976, 0.06737429023844989, -0.1860555868595151, 0.06680361311296075, 0.20547302750371924, 0.06351193298785544, 0.25399742029079303, -0.44254719820900223, -0.24976745847333956, 0.040638397213559246, 0.11899837995622689, 0.1496976621157497, -0.037089623983832094, -0.24168164538234238, 0.04229376314017247, -0.1768015663132189, -0.20844606002866048, -0.09725083509738755, 0.006087067397677992, 0.06020036268810646, -0.2776298800622678, 0.1579277356774876, 0.02692223737184985, 0.035614572109757214, -0.11452909229015272, -0.08139954510192556, -0.008320032046946485, 0.08261075538883764, 0.02287890452902588, -0.03583274265809908, 0.12024000633918629, -0.16014421208050708, -0.03801511797144657, 0.406711618907339, -0.08320290617659454, -0.23835597094148397, 0.20514780791260037, -0.13103679988503925, -0.0872903044892871, 0.15663753637648004, 0.15351083788903444, 0.14912314688068207, -0.1715718888948987, 0.06680152509416505, -0.06228054124370628, 0.1235574965482563, 0.02918305870431556, -0.009633422939209487, 0.18439392301099977, 0.1524783613767079, 0.07028136212437407, 0.14950385151474965, -0.06936385189953047, -0.16586619076286038, -0.3167355653168047, -0.13186263513025337, -0.15917066833569016, 0.030935933496289716, -0.08147571261905273, -0.22327739499714666, 0.4039650965320665, 0.1285182577741193, 0.17012500713806689, 0.02315838372689584, 0.28634798191634453, 0.14728545838889967, -0.03426102158708835, 0.0757096672767964, 0.19838298754913247, 0.1799411071156423, 0.11697611341795583, -0.25245767281350395, 0.0575328437413463, 0.07914851579125824] |
712.2248 | Phase-space approach to dynamical density functional theory | We consider a system of interacting particles subjected to Langevin inertial
dynamics and derive the governing time-dependent equation for the one-body
density. We show that, after suitable truncations of the
Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, and a multiple time scale
analysis, we obtain a self-consistent equation involving only the one-body
density. This study extends to arbitrary dimensions previous work on a
one-dimensional fluid and highlights the subtelties of kinetic theory in the
derivation of dynamical density functional theory.
| cond-mat.stat-mech cond-mat.other | we consider a system of interacting particles subjected to langevin inertial dynamics and derive the governing timedependent equation for the onebody density we show that after suitable truncations of the bogoliubovborngreenkirkwoodyvon hierarchy and a multiple time scale analysis we obtain a selfconsistent equation involving only the onebody density this study extends to arbitrary dimensions previous work on a onedimensional fluid and highlights the subtelties of kinetic theory in the derivation of dynamical density functional theory | [['we', 'consider', 'a', 'system', 'of', 'interacting', 'particles', 'subjected', 'to', 'langevin', 'inertial', 'dynamics', 'and', 'derive', 'the', 'governing', 'timedependent', 'equation', 'for', 'the', 'onebody', 'density', 'we', 'show', 'that', 'after', 'suitable', 'truncations', 'of', 'the', 'bogoliubovborngreenkirkwoodyvon', 'hierarchy', 'and', 'a', 'multiple', 'time', 'scale', 'analysis', 'we', 'obtain', 'a', 'selfconsistent', 'equation', 'involving', 'only', 'the', 'onebody', 'density', 'this', 'study', 'extends', 'to', 'arbitrary', 'dimensions', 'previous', 'work', 'on', 'a', 'onedimensional', 'fluid', 'and', 'highlights', 'the', 'subtelties', 'of', 'kinetic', 'theory', 'in', 'the', 'derivation', 'of', 'dynamical', 'density', 'functional', 'theory']] | [-0.15849566763887804, 0.13348990612352887, -0.12616105833401284, 0.05274903427033375, 0.015570091580351194, -0.09183772183799495, -0.00664156681081901, 0.25474745102226737, -0.2347956986632198, -0.28571464713973305, 0.01824579875761022, -0.2419934357702732, -0.15483898768822352, 0.10516576831849912, 0.04198816427960992, 0.08040666013024747, 0.04383269881208738, 0.02736407822308441, -0.1289390358266731, -0.1564407484761129, 0.3296872733843823, 0.022215497226764757, 0.21267364884416262, 0.022659973334521057, 0.1473614003881812, 0.0642228413031747, -0.060836415183730425, 0.034349293683966, -0.19105766798418092, 0.09982404622870188, 0.17571821584676703, 0.03466336789230506, 0.2861530567208926, -0.5116420580943426, -0.2908981041672329, 0.034411826382080714, 0.12841791234910488, 0.16833968758583068, -0.028435973023685317, -0.27560769093533355, -0.0005243712508430084, -0.21186627815167108, -0.21166017053027947, -0.10398381339618937, 0.03563244659065579, 0.06174390930992862, -0.27648436388156067, 0.1835737089564403, 0.02580702942291585, -0.0017953849708040555, -0.12927605419109264, -0.055358199655699235, 0.013063842343787352, 0.03964669878905018, 0.02349628321050356, -0.025183182631929715, 0.1535429320919017, -0.12957693598854045, -0.019803098949293295, 0.3727300803301235, -0.10583496616687625, -0.24389955366651217, 0.2040668382619818, -0.1323668372631073, -0.15136818236360947, 0.08722948792080085, 0.17008845947353013, 0.12140509532143673, -0.20684241919467847, 0.1677721896371804, -0.06747878989670425, 0.1690289998454197, 0.03946353148048123, -0.007992348795135816, 0.15263133436441423, 0.17668448898941277, 0.059233952723443506, 0.10624774648497502, -0.02548105384844045, -0.19457064024483164, -0.3307995549783421, -0.16140121464927992, -0.16090118583291768, 0.1054637557345753, -0.07843950414971915, -0.1735272021840016, 0.39823160618543624, 0.1839400860418876, 0.15871226763042312, 0.10234833082494636, 0.2636720457735161, 0.216581888285776, -0.02301925025259455, 0.039833278429384035, 0.16922508406142395, 0.20512507523099582, 0.08533354072909181, -0.2851822924179335, -0.056655754360059894, 0.14198924210232994] |
712.2249 | Measurement of D0-anti-D0 Mixing using the Ratio of Lifetimes for the
Decays D0 --> K-pi+, K-K+, and pi-pi+ | We present a measurement of $D^0$-$\bar{D^0}$ mixing parameters using the
ratios of lifetimes extracted from a sample of $D^0$ mesons produced through
the process $D^{*+}\to\D^0\pi^+$, that decay to $K^{+}\pi^{-}$, K^{-}K^{+}$, or
$\pi^-\pi^+$. The Cabibbo-suppressed modes $K^{-}K^{+}$ and $\pi^-\pi^+$ are
compared to the Cabibbo-favored mode $K^{+}\pi^{-}$ to obtain a measurement of
$y_{CP}$, which in the limit of CP conservation corresponds to the mixing
parameter $y$. The analysis is based on a data sample of 384 $fb^{-1}$
collected by the $BaBar$ detector at the PEP-II asymmetric-energy $e^+e^-$
collider. We obtain $y_{CP} = [1.24\pm 0.39\mathrm{(stat)} \pm
0.13\mathrm{(syst)}]%$, which is evidence of $D^0$-$\bar{D^0}$ mixing at the
$3\sigma$ level, and $\Delta Y = [-0.26\pm 0.36\mathrm{(stat)} \pm 0.08
\mathrm{(syst)}]%$, where $\Delta Y$ constrains possible CP violation.
Combining this result with a previous $BaBar$ measurement of $y_{CP}$ obtained
from a separate sample of $D^0\to K^{-}K^{+}$ events, we obtain $y_{CP} =
[1.03\pm 0.33 \mathrm{(stat)} \pm 0.19 \mathrm{(syst)}]%$.
| hep-ex | we present a measurement of d0bard0 mixing parameters using the ratios of lifetimes extracted from a sample of d0 mesons produced through the process dtod0pi that decay to kpi kk or pipi the cabibbosuppressed modes kk and pipi are compared to the cabibbofavored mode kpi to obtain a measurement of y_cp which in the limit of cp conservation corresponds to the mixing parameter y the analysis is based on a data sample of 384 fb1 collected by the babar detector at the pepii asymmetricenergy ee collider we obtain y_cp 124pm 039mathrmstat pm 013mathrmsyst which is evidence of d0bard0 mixing at the 3sigma level and delta y 026pm 036mathrmstat pm 008 mathrmsyst where delta y constrains possible cp violation combining this result with a previous babar measurement of y_cp obtained from a separate sample of d0to kk events we obtain y_cp 103pm 033 mathrmstat pm 019 mathrmsyst | [['we', 'present', 'a', 'measurement', 'of', 'd0bard0', 'mixing', 'parameters', 'using', 'the', 'ratios', 'of', 'lifetimes', 'extracted', 'from', 'a', 'sample', 'of', 'd0', 'mesons', 'produced', 'through', 'the', 'process', 'dtod0pi', 'that', 'decay', 'to', 'kpi', 'kk', 'or', 'pipi', 'the', 'cabibbosuppressed', 'modes', 'kk', 'and', 'pipi', 'are', 'compared', 'to', 'the', 'cabibbofavored', 'mode', 'kpi', 'to', 'obtain', 'a', 'measurement', 'of', 'y_cp', 'which', 'in', 'the', 'limit', 'of', 'cp', 'conservation', 'corresponds', 'to', 'the', 'mixing', 'parameter', 'y', 'the', 'analysis', 'is', 'based', 'on', 'a', 'data', 'sample', 'of', '384', 'fb1', 'collected', 'by', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'ee', 'collider', 'we', 'obtain', 'y_cp', '124pm', '039mathrmstat', 'pm', '013mathrmsyst', 'which', 'is', 'evidence', 'of', 'd0bard0', 'mixing', 'at', 'the', '3sigma', 'level', 'and', 'delta', 'y', '026pm', '036mathrmstat', 'pm', '008', 'mathrmsyst', 'where', 'delta', 'y', 'constrains', 'possible', 'cp', 'violation', 'combining', 'this', 'result', 'with', 'a', 'previous', 'babar', 'measurement', 'of', 'y_cp', 'obtained', 'from', 'a', 'separate', 'sample', 'of', 'd0to', 'kk', 'events', 'we', 'obtain', 'y_cp', '103pm', '033', 'mathrmstat', 'pm', '019', 'mathrmsyst']] | [-0.13270867743747347, 0.20660663144464822, -0.10048037405119192, 0.03276372971044408, -0.0223424080924415, -0.14873759419135485, 0.1590488006985013, 0.22996563371270895, -0.18382057691560993, -0.2910232368513202, -0.016378671570733878, -0.4438520963006514, 0.1144285056895266, 0.1492237528944586, 0.0732784607143848, 0.11291961994509052, 0.12879759189796613, -0.045679977649149106, -0.09984842963155081, -0.12516644564358162, 0.16278399979523944, -0.0006588201116149625, 0.23954246790913686, 0.03296703456550942, 0.034998624301961365, -0.021280322230506875, -0.06876710869688937, -0.11683195455211169, -0.23210705791506958, 0.02408375802155954, 0.2515205966873451, 0.121097646723006, 0.06351981304110364, -0.23160837062867565, 0.037382699884408226, 0.18783058732391356, 0.18015215073296048, 0.017879629545640333, 0.00439584528588102, -0.4270894595335984, 0.16194641253587308, -0.18377998925032132, -0.0188027133220635, 0.0013642459480316504, 0.03224033256579877, -0.15697205931952235, -0.4325577225536108, 0.19006290309236828, -0.09956135023641235, 0.10529911682564527, 0.020200519759789214, -0.300795800597506, -0.069964223362981, -0.052903007684566135, 0.10057387144303986, 0.11034543900391423, 0.1466120896507583, -0.0034906100960620115, -0.13629280332829274, 0.34736212419266715, -0.11699132249419782, -0.12034621498719228, 0.09426640217020738, -0.23359357439153267, -0.13670146435248196, 0.18117728230959557, 0.2364206474228161, 0.04061295323367792, -0.22480315624584332, 0.11374367367400266, -0.03609378544402355, 0.2651724993261172, 0.10939234213124141, 0.09213951593000733, 0.14302548514811178, 0.21440379225470602, 0.007593027652895197, 0.015400434791354846, -0.17110725517833855, 0.02105056677725338, -0.4075318399407234, -0.09958521786793167, -0.04988653972106721, 0.12677386692883644, -0.07962555823998743, -0.02443793705492842, 0.31743422639845204, 0.03754135603597057, 0.35339599962062235, 0.03672966341230464, 0.2744869678149145, 0.10503339233761984, 0.012641553340375701, 0.03564694020573086, 0.34183763399231415, 0.22787912828841161, 0.11909289910385372, -0.3325153299845121, 0.02987196575519992, 0.002000049080250534] |
712.225 | Bose-Einstein Condensation in Magnetic Insulators | The elementary excitations in antiferromagnets are magnons, quasiparticles
with integer spin and Bose statistics. In an experiment their density is
controlled efficiently by an applied magnetic field and can be made finite to
cause the formation of a Bose-Einstein condensate (BEC). Studies of magnon
condensation in a growing number of magnetic materials provide a unique window
into an exciting world of quantum phase transitions (QPT) and exotic quantum
states.
| cond-mat.str-el | the elementary excitations in antiferromagnets are magnons quasiparticles with integer spin and bose statistics in an experiment their density is controlled efficiently by an applied magnetic field and can be made finite to cause the formation of a boseeinstein condensate bec studies of magnon condensation in a growing number of magnetic materials provide a unique window into an exciting world of quantum phase transitions qpt and exotic quantum states | [['the', 'elementary', 'excitations', 'in', 'antiferromagnets', 'are', 'magnons', 'quasiparticles', 'with', 'integer', 'spin', 'and', 'bose', 'statistics', 'in', 'an', 'experiment', 'their', 'density', 'is', 'controlled', 'efficiently', 'by', 'an', 'applied', 'magnetic', 'field', 'and', 'can', 'be', 'made', 'finite', 'to', 'cause', 'the', 'formation', 'of', 'a', 'boseeinstein', 'condensate', 'bec', 'studies', 'of', 'magnon', 'condensation', 'in', 'a', 'growing', 'number', 'of', 'magnetic', 'materials', 'provide', 'a', 'unique', 'window', 'into', 'an', 'exciting', 'world', 'of', 'quantum', 'phase', 'transitions', 'qpt', 'and', 'exotic', 'quantum', 'states']] | [-0.20802100727577572, 0.35155607915067527, -0.10437825080547211, 0.046152595074617886, -0.04836271876010342, -0.1367606280601003, 0.04553681047147383, 0.3435419740022896, -0.22186242129005815, -0.25553662418995216, 0.004660762847313468, -0.3072918468438413, -0.07419784295632491, 0.1750112428545844, 0.06097626590264448, 0.06982817704640869, -0.04019251984098683, 0.010037218838461094, -0.029803319469742153, -0.23944736887916815, 0.27472899910872395, -0.02492312292325432, 0.3024028582309467, 0.10352299763294666, 0.03513252608936982, -0.03687474171739018, 0.14442045341644005, 0.014459157134811192, -0.15041331073566191, 0.0368516709397385, 0.3058170039321471, -0.013586920564589293, 0.21456928497207337, -0.4958995823356984, -0.21607642649146525, 0.08333972194974405, 0.2203605169146929, 0.2228676938397837, -0.1129889907112912, -0.36941057885828277, -0.02869336450121541, -0.17402637293022397, -0.14591303813959594, -0.14560597624791705, 0.016799662513590916, -0.014861850945305998, -0.24392759996344862, 0.04741364332131934, 0.07832103570842225, 0.13053735160687263, -0.06049702152191405, -0.057552474726369415, -0.0023124865053788476, 0.053648725152015686, -0.008909679932411815, 0.05436534631619419, 0.13939376048527766, -0.20442565647966188, -0.18709426305756188, 0.35918368223676644, -0.061860957972543394, -0.10696649923920631, 0.1527160067529674, -0.15347600766741062, -0.03585412596905793, 0.18313712701943796, 0.15091949111809008, 0.07022251215412458, -0.10339041322847639, 0.06836158294733478, -0.029459899218847462, 0.17372181984609453, 0.0008982667308030785, 0.11679960085430006, 0.4033826415332547, 0.17232565660505433, 0.022365324037230534, 0.197048167912357, -0.054207709705646055, -0.12244227339608083, -0.22891433388197227, -0.2120105807763943, -0.29708181973546743, 0.0697885528071851, -0.016885980956325562, -0.20161020502691035, 0.3720172868933583, 0.126519285891529, 0.18924738515330397, -0.10275420856972535, 0.22469859468696665, 0.13962331586989804, 0.04365055901133388, 0.019789107704022223, 0.20777305255414566, 0.2187105019448622, 0.08819644058636134, -0.29096546105743537, -0.04809696992616291, 0.017730027912994443] |
712.2251 | Multigraded regularity and the Koszul property | We give a criterion for the section ring of an ample line bundle to be Koszul
in terms of multigraded regularity. We discuss an application to polytopal
semigroup rings.
| math.AG math.AC math.CO | we give a criterion for the section ring of an ample line bundle to be koszul in terms of multigraded regularity we discuss an application to polytopal semigroup rings | [['we', 'give', 'a', 'criterion', 'for', 'the', 'section', 'ring', 'of', 'an', 'ample', 'line', 'bundle', 'to', 'be', 'koszul', 'in', 'terms', 'of', 'multigraded', 'regularity', 'we', 'discuss', 'an', 'application', 'to', 'polytopal', 'semigroup', 'rings']] | [-0.22039501221272453, -0.11896198463590077, -0.04783672518257437, 0.10038510523736477, -0.1454100832664247, -0.1286456466588224, -0.08688889630138874, 0.4161424704923712, -0.3947210142324711, -0.10148997174511695, 0.14533699362875957, -0.19230341034588114, -0.10793755826508176, 0.20453203302519074, -0.21298175478546783, -0.040111887621982346, 0.04521733226961103, 0.08114129210147879, -0.0664125466398124, -0.31901388557965, 0.44576658565422583, 0.10702889470447755, 0.16028886397594008, 0.18740841309572087, 0.08030805579393677, -0.002557169565738275, 0.005413216217581568, -0.017517358578484635, -0.2734285253581816, 0.14896689310412983, 0.3484016764780571, 0.11015753782001035, 0.13135649347356682, -0.43883956377876215, -0.026279218832095122, 0.22779436213574533, 0.1587434551228994, 0.014482245363038162, -0.010267252359410813, -0.22416824160207963, 0.13028270505561396, -0.2275023404508829, -0.23287540674209595, -0.12976456292230507, 0.12765493602010197, 0.036278739250425636, -0.30028325291992775, -0.04549144285506215, 0.11602310100891466, 0.23585542426284017, -0.06763809803744843, -0.032558361196826244, -0.04305794218490864, -0.06471495518203953, -0.04544112079873167, -0.03692826607810526, 0.15860229544341564, -0.07770356169805445, -0.16475398626563878, 0.3125000314722801, -0.09807095066483679, -0.22690743452002263, 0.0791550615224345, -0.16669182130135596, -0.09402210512680226, 0.1811907486026657, 0.0877740372229239, 0.18552564761344473, 0.013432341916807767, 0.1294584037848459, -0.19751843861464796, 0.042259694173418245, 0.07298413028234038, 0.044464088912154066, 0.12962112403153603, 0.1347840447621099, 0.14636401539961486, 0.1730666011210595, 0.012405808758119056, 0.001791907056909183, -0.4245220422744751, -0.349612547919668, -0.047091980432641914, 0.17685097680780396, -0.11064296952802045, -0.17668381754052023, 0.4029801337787047, 0.12005376250579439, 0.28984242722649, 0.09482964102564187, 0.20471718252219004, 0.10049037898665872, 0.021162217916471177, -0.0009013174005366605, 0.11919617983673153, 0.283513933291723, 0.027162949329820173, -0.09324112091341923, -0.06833839654151735, 0.2534287490657178] |
712.2252 | Macroscopic Resonant Tunneling through Andreev Interferometers | We investigate the conductance through and the spectrum of ballistic chaotic
quantum dots attached to two s-wave superconductors, as a function of the phase
difference $\phi$ between the two order parameters. A combination of analytical
techniques -- random matrix theory, Nazarov's circuit theory and the
trajectory-based semiclassical theory -- allows us to explore the
quantum-to-classical crossover in detail. When the superconductors are not
phase-biased, $\phi=0$, we recover known results that the spectrum of the
quantum dot exhibits an excitation gap, while the conductance across two normal
leads carrying $N_{\rm N}$ channels and connected to the dot via tunnel
contacts of transparency $\Gamma_{\rm N}$ is $\propto \Gamma_{\rm N}^2 N_{\rm
N}$. In contrast, when $\phi=\pi$, the excitation gap closes and the
conductance becomes $G \propto \Gamma_{\rm N} N_{\rm N}$ in the universal
regime. For $\Gamma_{\rm N} \ll 1$, we observe an order-of-magnitude
enhancement of the conductance towards $G \propto N_{\rm N}$ in the
short-wavelength limit. We relate this enhancement to resonant tunneling
through a macroscopic number of levels close to the Fermi energy. Our
predictions are corroborated by numerical simulations.
| cond-mat.mes-hall cond-mat.supr-con | we investigate the conductance through and the spectrum of ballistic chaotic quantum dots attached to two swave superconductors as a function of the phase difference phi between the two order parameters a combination of analytical techniques random matrix theory nazarovs circuit theory and the trajectorybased semiclassical theory allows us to explore the quantumtoclassical crossover in detail when the superconductors are not phasebiased phi0 we recover known results that the spectrum of the quantum dot exhibits an excitation gap while the conductance across two normal leads carrying n_rm n channels and connected to the dot via tunnel contacts of transparency gamma_rm n is propto gamma_rm n2 n_rm n in contrast when phipi the excitation gap closes and the conductance becomes g propto gamma_rm n n_rm n in the universal regime for gamma_rm n ll 1 we observe an orderofmagnitude enhancement of the conductance towards g propto n_rm n in the shortwavelength limit we relate this enhancement to resonant tunneling through a macroscopic number of levels close to the fermi energy our predictions are corroborated by numerical simulations | [['we', 'investigate', 'the', 'conductance', 'through', 'and', 'the', 'spectrum', 'of', 'ballistic', 'chaotic', 'quantum', 'dots', 'attached', 'to', 'two', 'swave', 'superconductors', 'as', 'a', 'function', 'of', 'the', 'phase', 'difference', 'phi', 'between', 'the', 'two', 'order', 'parameters', 'a', 'combination', 'of', 'analytical', 'techniques', 'random', 'matrix', 'theory', 'nazarovs', 'circuit', 'theory', 'and', 'the', 'trajectorybased', 'semiclassical', 'theory', 'allows', 'us', 'to', 'explore', 'the', 'quantumtoclassical', 'crossover', 'in', 'detail', 'when', 'the', 'superconductors', 'are', 'not', 'phasebiased', 'phi0', 'we', 'recover', 'known', 'results', 'that', 'the', 'spectrum', 'of', 'the', 'quantum', 'dot', 'exhibits', 'an', 'excitation', 'gap', 'while', 'the', 'conductance', 'across', 'two', 'normal', 'leads', 'carrying', 'n_rm', 'n', 'channels', 'and', 'connected', 'to', 'the', 'dot', 'via', 'tunnel', 'contacts', 'of', 'transparency', 'gamma_rm', 'n', 'is', 'propto', 'gamma_rm', 'n2', 'n_rm', 'n', 'in', 'contrast', 'when', 'phipi', 'the', 'excitation', 'gap', 'closes', 'and', 'the', 'conductance', 'becomes', 'g', 'propto', 'gamma_rm', 'n', 'n_rm', 'n', 'in', 'the', 'universal', 'regime', 'for', 'gamma_rm', 'n', 'll', '1', 'we', 'observe', 'an', 'orderofmagnitude', 'enhancement', 'of', 'the', 'conductance', 'towards', 'g', 'propto', 'n_rm', 'n', 'in', 'the', 'shortwavelength', 'limit', 'we', 'relate', 'this', 'enhancement', 'to', 'resonant', 'tunneling', 'through', 'a', 'macroscopic', 'number', 'of', 'levels', 'close', 'to', 'the', 'fermi', 'energy', 'our', 'predictions', 'are', 'corroborated', 'by', 'numerical', 'simulations']] | [-0.20364371521579663, 0.19930875504575274, -0.039863781768045475, 0.0425925970167472, 0.02379332739986818, -0.20129888376422142, 0.07792722062070177, 0.32501067259264266, -0.23056232911767438, -0.3181150710231371, -0.07353801988673778, -0.3727755056263711, -0.12120636073285079, 0.18208025653042237, 0.021576442536518862, 0.01847798037025231, -0.01949675139092671, 0.011349821182772179, -0.06251293804829898, -0.15269238672176885, 0.26893738397418265, 0.021862756191033193, 0.2753576122658243, 0.08233415051522157, -0.02050017284239981, -0.005557217231729406, 0.08766554975458844, 0.014541406475473195, -0.1957759656270768, 0.018930165230730465, 0.2590256374096498, -0.04626596915477421, 0.20453971710098398, -0.4501201667695899, -0.1536357014397667, 0.06111197057510832, 0.203993670319588, 0.07246515785862523, 0.034230875401672994, -0.23211802814991891, 0.032456508234397254, -0.1605143955781717, -0.12450523698035712, -0.029118119772068563, 0.04419497098636136, -0.04023413202065223, -0.2880112574917307, 0.11916683559750461, 0.009716347420842132, 0.007329361021137712, 0.036378110271801815, -0.0847557169644543, -0.01255346822885754, 0.06878579523783462, 0.01731564128369262, 0.02632288486810549, 0.15791844595696602, -0.1518201641414304, -0.07041762945432724, 0.3098098698226915, -0.10009142253561136, -0.09472392656342973, 0.11209559694080698, -0.19132711087480525, -0.0942275682451013, 0.14795761407797478, 0.05881469104497228, 0.09125870632653293, -0.061149192364940645, 0.1421249153301522, -0.023756784318141978, 0.18845122729544528, 0.04067592149923174, 0.05885186816092094, 0.1740697232264872, 0.13918294304643164, 0.03287449911195753, 0.12399890922857924, -0.10578817032827911, -0.06836168455695522, -0.30944230495317077, -0.14537692672192035, -0.2050293891926148, 0.12788518106398525, -0.11237491572650139, -0.14174207013142717, 0.37827440501529386, 0.14704164057250388, 0.2650167666513219, 0.059564074047474685, 0.264010756972394, 0.2055188683840573, -0.00717344926934774, 0.08305618420126848, 0.20732303461739898, 0.20646456232961183, 0.036276979558434425, -0.3319294035549815, -0.015368690779062243, 0.024044384351741013] |
712.2253 | Large Deviations for Random Trees | We consider large random trees under Gibbs distributions and prove a Large
Deviation Principle (LDP) for the distribution of degrees of vertices of the
tree. The LDP rate function is given explicitly. An immediate consequence is a
Law of Large Numbers for the distribution of vertex degrees in a large random
tree. Our motivation for this study comes from the analysis of RNA secondary
structures.
| math.PR math.CO | we consider large random trees under gibbs distributions and prove a large deviation principle ldp for the distribution of degrees of vertices of the tree the ldp rate function is given explicitly an immediate consequence is a law of large numbers for the distribution of vertex degrees in a large random tree our motivation for this study comes from the analysis of rna secondary structures | [['we', 'consider', 'large', 'random', 'trees', 'under', 'gibbs', 'distributions', 'and', 'prove', 'a', 'large', 'deviation', 'principle', 'ldp', 'for', 'the', 'distribution', 'of', 'degrees', 'of', 'vertices', 'of', 'the', 'tree', 'the', 'ldp', 'rate', 'function', 'is', 'given', 'explicitly', 'an', 'immediate', 'consequence', 'is', 'a', 'law', 'of', 'large', 'numbers', 'for', 'the', 'distribution', 'of', 'vertex', 'degrees', 'in', 'a', 'large', 'random', 'tree', 'our', 'motivation', 'for', 'this', 'study', 'comes', 'from', 'the', 'analysis', 'of', 'rna', 'secondary', 'structures']] | [-0.16320111106794613, 0.16917749978087018, -0.09967248895420477, 0.11824919926181722, -0.031103817402170254, -0.059499115905222985, 0.10245031147049023, 0.2694962565142375, -0.3225403238947575, -0.27976492322408236, 0.051850934496794183, -0.28252967750796903, -0.13575495378329203, 0.11884800344705582, -0.0687763487203763, 0.04079679435548874, 0.1292206637489681, 0.04708306660445837, 0.03581457894582015, -0.1753692121209147, 0.33484085242335615, 0.05553979377907056, 0.28296518344432114, 0.05132958589103789, 0.1713278609327972, 0.10299373492777635, -0.00927376108100781, 0.026553200292759215, -0.1394739979161666, 0.11814632129031592, 0.18488466604254566, 0.17338018300943076, 0.2679303974701235, -0.33310174325910896, -0.16773293303469053, 0.17096857716544317, 0.07141566882626368, 0.16094922189815686, -0.04542583792040555, -0.20962981408318648, 0.1356435749285783, -0.166821947063391, -0.19626028385873023, -0.010136411138452017, 0.035069768646588693, 0.08892309160974736, -0.3219882988156034, 0.06525098863415993, 0.08747505004016252, 0.11318561027829464, 0.028420260369491118, -0.1690702970784444, -0.017481732551151742, 0.15284235287600986, 0.06996615407092927, 0.005710207029747275, 0.08499972786611089, -0.14256126373074948, -0.12890933256399317, 0.3697174404676144, -0.07022071681343592, -0.18581550730965457, 0.1404261181417566, -0.19150887419684576, -0.20794604203592126, 0.12039121830692658, 0.22071134833475717, 0.1683333395430684, -0.1876496986271097, 0.12655370451706963, -0.0832614178984211, 0.11601012416470509, 0.053417292308922, 0.00617048551973242, 0.16944815235642285, 0.15316834996740977, 0.14697839301795915, 0.22398436685594228, -0.08969188710101522, -0.12893404573775255, -0.3324116293627482, -0.15477690312724848, -0.2696529059455945, 0.11360767111361314, -0.23170697813687954, -0.2046834041400311, 0.34741105858523114, 0.08912621297013874, 0.24275236162715233, 0.18497630246700003, 0.22013140492714367, 0.1101374507183209, 0.06782705828260917, 0.06253432406542393, 0.11656462289392948, 0.16759602016626068, 0.02642042262193102, -0.12514588139019905, 0.11899348250948466, 0.07197231998523841] |
712.2254 | On free profinite subgroups of free profinite monoids | We answer a question of Margolis from 1997 by establishing that the maximal
subgroup of the minimal ideal of a finitely generated free profinite monoid is
a free profinite group. More generally if $\mathbf H$ is variety of finite
groups closed under extension and containing $\mathbb Z/p\mathbb Z$ for
infinitely may primes $p$, the corresponding result holds for free
pro-$\bar{\mathbf H}$ monoids.
| math.GR | we answer a question of margolis from 1997 by establishing that the maximal subgroup of the minimal ideal of a finitely generated free profinite monoid is a free profinite group more generally if mathbf h is variety of finite groups closed under extension and containing mathbb zpmathbb z for infinitely may primes p the corresponding result holds for free probarmathbf h monoids | [['we', 'answer', 'a', 'question', 'of', 'margolis', 'from', '1997', 'by', 'establishing', 'that', 'the', 'maximal', 'subgroup', 'of', 'the', 'minimal', 'ideal', 'of', 'a', 'finitely', 'generated', 'free', 'profinite', 'monoid', 'is', 'a', 'free', 'profinite', 'group', 'more', 'generally', 'if', 'mathbf', 'h', 'is', 'variety', 'of', 'finite', 'groups', 'closed', 'under', 'extension', 'and', 'containing', 'mathbb', 'zpmathbb', 'z', 'for', 'infinitely', 'may', 'primes', 'p', 'the', 'corresponding', 'result', 'holds', 'for', 'free', 'probarmathbf', 'h', 'monoids']] | [-0.16721946290182713, 0.18342594460958278, -0.0657942614701317, 0.07310586150537138, -0.09626110276344736, -0.15741815605414572, 0.013212641487356092, 0.3534886808073545, -0.3758936992495275, -0.18221038216572316, 0.06406152638469319, -0.28366000551089154, -0.02407209881291282, 0.26590808125243326, -0.14827784268017552, -0.03741790055007231, 0.06610331077464536, 0.1421148434250814, -0.025742872095224065, -0.2892396560121999, 0.3638552012624311, -0.08141894213336169, 0.20934644453685547, 0.04316805939277878, 0.088844273025628, 0.043096329261106056, -0.021180057898163795, -0.015753516324291953, -0.19522457061105, 0.0818186280685935, 0.33183981447679095, 0.06571249969181467, 0.2635675106258666, -0.3238296606196243, -0.14188553754728836, 0.27920252621387603, 0.13396659325502935, -0.05826299210063747, -0.09175538186668075, -0.23783228250189883, 0.1976474879889703, -0.20810715206440722, -0.1449261898495501, 0.002314133699372655, 0.16725854389369488, -0.03936799644629975, -0.3001697020086109, 0.012872592568947155, 0.15986122774937359, 0.17108141096522572, -0.025638576518728962, -0.07435973757328312, -0.060105201711908716, 0.0841578115159493, -0.009982053231874115, 0.03838278920404979, 0.1001762116068333, -0.06744481560575669, -0.09640139657393341, 0.4327901311859977, -0.08304180456783439, -0.1815533697162373, 0.13996260926188503, -0.19279760584143585, -0.15164679327796474, 0.1841775383113227, -0.0025080668770509663, 0.15281837187768493, -0.02193849316996629, 0.34017075274471714, -0.27699226986800063, 0.06511053546774583, 0.10897172857686634, -0.037499238561350304, 0.08435332005629774, 0.03941801607944682, 0.09127956358563216, 0.10579627998112166, 0.11062644806034008, 0.08078552308477095, -0.39919926085677304, -0.1867654350754179, -0.1096676525919408, 0.20656942454029303, -0.06589313665549004, -0.18341634114517175, 0.34916030113264673, 0.052838002379266086, 0.08873419724710163, 0.1101389618926361, 0.13065837108392697, 0.011159835841323509, 0.013136889067951773, 0.09407190227361976, -0.029094690021860305, 0.2268735961492372, -0.17263111644653512, -0.09396824402139202, 0.001605040111319452, 0.23681710803209513] |
712.2255 | Human-Machine Symbiosis, 50 Years On | Licklider advocated in 1960 the construction of computers capable of working
symbiotically with humans to address problems not easily addressed by humans
working alone. Since that time, many of the advances that he envisioned have
been achieved, yet the time spent by human problem solvers in mundane
activities remains large. I propose here four areas in which improved tools can
further advance the goal of enhancing human intellect: services, provenance,
knowledge communities, and automation of problem-solving protocols.
| cs.DC cs.CE cs.HC | licklider advocated in 1960 the construction of computers capable of working symbiotically with humans to address problems not easily addressed by humans working alone since that time many of the advances that he envisioned have been achieved yet the time spent by human problem solvers in mundane activities remains large i propose here four areas in which improved tools can further advance the goal of enhancing human intellect services provenance knowledge communities and automation of problemsolving protocols | [['licklider', 'advocated', 'in', '1960', 'the', 'construction', 'of', 'computers', 'capable', 'of', 'working', 'symbiotically', 'with', 'humans', 'to', 'address', 'problems', 'not', 'easily', 'addressed', 'by', 'humans', 'working', 'alone', 'since', 'that', 'time', 'many', 'of', 'the', 'advances', 'that', 'he', 'envisioned', 'have', 'been', 'achieved', 'yet', 'the', 'time', 'spent', 'by', 'human', 'problem', 'solvers', 'in', 'mundane', 'activities', 'remains', 'large', 'i', 'propose', 'here', 'four', 'areas', 'in', 'which', 'improved', 'tools', 'can', 'further', 'advance', 'the', 'goal', 'of', 'enhancing', 'human', 'intellect', 'services', 'provenance', 'knowledge', 'communities', 'and', 'automation', 'of', 'problemsolving', 'protocols']] | [-0.07528631669150568, 0.11199896946230806, -0.058736460552992004, 0.05834321734054308, -0.11783697274758627, -0.18260982275023707, 0.060220311604146114, 0.3908983785168905, -0.23736335704176637, -0.3980643820801848, 0.11533932100007262, -0.1999912685898476, -0.17111815681901613, 0.22520997679155125, -0.16820039746572116, 0.10549817241630272, 0.1096771311529569, -0.00019023892788314506, 0.019279017058005065, -0.3299544404358848, 0.23989544607894986, 0.06649703367944121, 0.27984740302628397, 0.0894338965636531, 0.06951258421605944, -0.03816506129959108, -0.09375583394859477, 0.00765742459579518, -0.06435067420247115, 0.18232318961619107, 0.42732784936302587, 0.2729247772520849, 0.41256863285640355, -0.5259032331309036, -0.23284002619230273, 0.08741112787423558, 0.20511565220045955, 0.07065216008739203, -0.028224901032732112, -0.3209466320879169, 0.04118908253057223, -0.2013244585679403, -0.12607355104563267, -0.08596835880866581, 0.027964458145250223, -0.06057738938589433, -0.1545146595806153, -0.03516692347751048, 0.06854432363367155, 0.10642733961637867, -0.01271950001950915, -0.09963466179263043, 0.08965240717301831, 0.22913596127182245, 0.03970199264585972, 0.009731807583624399, 0.15825822162686995, -0.18939673363868342, -0.22448761644773185, 0.378524206652257, 0.03157955403194616, -0.13711188813230316, 0.1993340950912649, -0.07743426939276488, -0.18685186464388512, 0.09541674044387612, 0.16217538514281746, 0.11156782846113569, -0.22946593455210523, 0.08004849320691153, 0.016242907296768146, 0.16003568330779672, 0.0598506956655336, -0.019528104764360347, 0.2141283762788302, 0.20701917998590752, 0.03424608377712215, 0.016623992203293664, 0.03476464848867372, -0.08035525907517264, -0.1422114207556373, -0.13003609482984757, -0.18810878183055474, -0.011456435671693486, 0.007841184239192731, -0.07619835489956465, 0.3340377072362523, 0.2052692461201284, 0.09707176240274414, 0.03606157603376472, 0.33057429200332417, 0.011560710294074133, 0.13031304230619417, 0.08565886485341348, 0.21519033369412155, -0.005065497188632817, 0.23368443792538815, -0.1726706539599323, 0.14819913480038704, -0.003470830993089629] |
712.2256 | Spin-orbit coupled Bose-Einstein condensates | We consider a many-body system of pseudo-spin-1/2 bosons with spin-orbit
interactions, which couple the momentum and the internal pseudo-spin degree of
freedom created by spatially varying laser fields. The corresponding single-
particle spectrum is generally anisotropic and contains two degenerate minima
at finite momenta. At low temperatures, the many-body system condenses into
these minima generating a new type of entangled Bose-Einstein condensate. We
show that in the presence of weak density-density interactions the many-body
ground state is characterized by a twofold degeneracy. The corresponding
many-body wave function describes a condensate of ``left-'' and
``right-moving'' bosons. By fine-tuning the parameters of the laser field, one
can obtain a bosonic version of the spin-orbit coupled Rashba model. In this
symmetric case, the degeneracy of the ground state is very large, which may
lead to phases with nontrivial topological properties. We argue that the
predicted new type of Bose-Einstein condensates can be observed experimentally
via time-of-flight imaging, which will show characteristic multipeak structures
in momentum distribution.
| cond-mat.other cond-mat.stat-mech quant-ph | we consider a manybody system of pseudospin12 bosons with spinorbit interactions which couple the momentum and the internal pseudospin degree of freedom created by spatially varying laser fields the corresponding single particle spectrum is generally anisotropic and contains two degenerate minima at finite momenta at low temperatures the manybody system condenses into these minima generating a new type of entangled boseeinstein condensate we show that in the presence of weak densitydensity interactions the manybody ground state is characterized by a twofold degeneracy the corresponding manybody wave function describes a condensate of left and rightmoving bosons by finetuning the parameters of the laser field one can obtain a bosonic version of the spinorbit coupled rashba model in this symmetric case the degeneracy of the ground state is very large which may lead to phases with nontrivial topological properties we argue that the predicted new type of boseeinstein condensates can be observed experimentally via timeofflight imaging which will show characteristic multipeak structures in momentum distribution | [['we', 'consider', 'a', 'manybody', 'system', 'of', 'pseudospin12', 'bosons', 'with', 'spinorbit', 'interactions', 'which', 'couple', 'the', 'momentum', 'and', 'the', 'internal', 'pseudospin', 'degree', 'of', 'freedom', 'created', 'by', 'spatially', 'varying', 'laser', 'fields', 'the', 'corresponding', 'single', 'particle', 'spectrum', 'is', 'generally', 'anisotropic', 'and', 'contains', 'two', 'degenerate', 'minima', 'at', 'finite', 'momenta', 'at', 'low', 'temperatures', 'the', 'manybody', 'system', 'condenses', 'into', 'these', 'minima', 'generating', 'a', 'new', 'type', 'of', 'entangled', 'boseeinstein', 'condensate', 'we', 'show', 'that', 'in', 'the', 'presence', 'of', 'weak', 'densitydensity', 'interactions', 'the', 'manybody', 'ground', 'state', 'is', 'characterized', 'by', 'a', 'twofold', 'degeneracy', 'the', 'corresponding', 'manybody', 'wave', 'function', 'describes', 'a', 'condensate', 'of', 'left', 'and', 'rightmoving', 'bosons', 'by', 'finetuning', 'the', 'parameters', 'of', 'the', 'laser', 'field', 'one', 'can', 'obtain', 'a', 'bosonic', 'version', 'of', 'the', 'spinorbit', 'coupled', 'rashba', 'model', 'in', 'this', 'symmetric', 'case', 'the', 'degeneracy', 'of', 'the', 'ground', 'state', 'is', 'very', 'large', 'which', 'may', 'lead', 'to', 'phases', 'with', 'nontrivial', 'topological', 'properties', 'we', 'argue', 'that', 'the', 'predicted', 'new', 'type', 'of', 'boseeinstein', 'condensates', 'can', 'be', 'observed', 'experimentally', 'via', 'timeofflight', 'imaging', 'which', 'will', 'show', 'characteristic', 'multipeak', 'structures', 'in', 'momentum', 'distribution']] | [-0.21158179195106394, 0.28168844775849544, -0.07598344967743394, 0.06690166354825024, -0.007915085194449575, -0.1713635780265772, -0.029714380842319296, 0.329576734887676, -0.26273431489529786, -0.2653981892426321, -0.015232119851379993, -0.27669115871922373, -0.0873275950173933, 0.11697350394057876, 0.059632955456118276, 0.012881392013121601, 0.03925429267431695, -0.00801748306057673, -0.08701626825620609, -0.22189037288264857, 0.3710647727665634, -0.030382459423293366, 0.26651487853720873, 0.06471497859760113, 0.0986228990854204, 0.026319470830073157, 0.10916294291346945, -0.012671029058062225, -0.10882930429068471, 0.05537240273759135, 0.2030825346331198, -0.019253980734048444, 0.20719395748031058, -0.4142664289616185, -0.1964183416791786, 0.0947502103314215, 0.1749001610509914, 0.191458021502719, -0.051848386617183134, -0.345712382144986, -0.027581758504344914, -0.18720770988870838, -0.1986080480573779, -0.1348012914178333, -0.024573304209761046, 0.01593025204685568, -0.26127114326927375, 0.11744765721138659, 0.03541503200790291, 0.04885993820923649, -0.07383197115054296, -0.07140740968195573, -0.0853944350165412, 0.025357539955515162, 0.009990855642920075, 0.02633122991316272, 0.0866470142336208, -0.19245162048570646, -0.08350378574883463, 0.3751334324650512, -0.10997032805523076, -0.17784127879579284, 0.2015948318047849, -0.16443016618482006, -0.06742651754293157, 0.1682468390040831, 0.13475491063657896, 0.08987017832924983, -0.1319059229118784, 0.08560761941387604, -0.042036468831538734, 0.18800130261585368, 0.03638069991856539, 0.11416356628360741, 0.3112221980650275, 0.12415019021100976, 0.04857439345514482, 0.17938219765815427, -0.10195720366717326, -0.11616295814925542, -0.272037122067224, -0.1266111961060255, -0.244151117375829, 0.08281266251662846, -0.03586323077026597, -0.14881680720697152, 0.45516604981013786, 0.11476972710806876, 0.1852662734647333, -0.04043603296308818, 0.24276237407173573, 0.14612659968670022, 0.06161882310100128, 0.012155941152585201, 0.26445535543528986, 0.13286798628635613, 0.06058428530507018, -0.28701018298364767, -0.039450595552455975, 0.060799869454460094] |
712.2257 | On the sound of snapping shrimp | Fluid dynamics video: Snapping shrimp produce a snapping sound by an
extremely rapid closure of their snapper claw. Our high speed imaging of the
claw closure has revealed that the sound is generated by the collapse of a
cavitation bubble formed in a fast flowing water jet forced out from the claws
during claw closure. The produced sound originates from the cavitation collapse
of the bubble. At collapse a short flash of light is emitted, just as in single
bubble sonoluminescence. A model based on the Rayleigh-Plesset equation can
quantitatively account for the visual and acoustical observations.
| physics.flu-dyn physics.ed-ph | fluid dynamics video snapping shrimp produce a snapping sound by an extremely rapid closure of their snapper claw our high speed imaging of the claw closure has revealed that the sound is generated by the collapse of a cavitation bubble formed in a fast flowing water jet forced out from the claws during claw closure the produced sound originates from the cavitation collapse of the bubble at collapse a short flash of light is emitted just as in single bubble sonoluminescence a model based on the rayleighplesset equation can quantitatively account for the visual and acoustical observations | [['fluid', 'dynamics', 'video', 'snapping', 'shrimp', 'produce', 'a', 'snapping', 'sound', 'by', 'an', 'extremely', 'rapid', 'closure', 'of', 'their', 'snapper', 'claw', 'our', 'high', 'speed', 'imaging', 'of', 'the', 'claw', 'closure', 'has', 'revealed', 'that', 'the', 'sound', 'is', 'generated', 'by', 'the', 'collapse', 'of', 'a', 'cavitation', 'bubble', 'formed', 'in', 'a', 'fast', 'flowing', 'water', 'jet', 'forced', 'out', 'from', 'the', 'claws', 'during', 'claw', 'closure', 'the', 'produced', 'sound', 'originates', 'from', 'the', 'cavitation', 'collapse', 'of', 'the', 'bubble', 'at', 'collapse', 'a', 'short', 'flash', 'of', 'light', 'is', 'emitted', 'just', 'as', 'in', 'single', 'bubble', 'sonoluminescence', 'a', 'model', 'based', 'on', 'the', 'rayleighplesset', 'equation', 'can', 'quantitatively', 'account', 'for', 'the', 'visual', 'and', 'acoustical', 'observations']] | [-0.11797585755529016, 0.20912984990140965, -0.13681168751023018, 0.029202802486888123, -0.08549767244876046, -0.0732811516218041, 0.005242316100323938, 0.34229729124872954, -0.27100893244454544, -0.23801113125512896, 0.10323204231429269, -0.28531226534972487, -0.08487717197612696, 0.17729167595803352, -0.02700629747309482, -0.008720268216944233, 0.1168761636063303, 0.02639411670184627, 0.025235697898303263, -0.1266353949328366, 0.23569685323211872, 0.059632982741849326, 0.2528990492531934, 0.05924504125471582, 0.13556603551842272, -0.06850356465090335, -0.02059614818216753, 0.03552888552706266, -0.11674721858780122, 0.029726077744871685, 0.17129482904007448, 0.15608404240734183, 0.2370281722204587, -0.515861679406203, -0.26488788077396525, 0.041205298796430534, 0.1591818539579351, 0.10215483780604662, -0.08629144677897128, -0.2997607080381095, 0.03832723161916143, -0.19014533814618884, -0.1311750123661357, 0.023083285284564665, 0.0582918428441452, 0.03404296995092606, -0.20249893450053388, 0.08812405377837647, 0.06983842379857604, 0.06394912694225606, -0.024002436351645545, 0.024873224447106886, -0.06415319963377546, 0.046210969156182384, 0.00880260957457778, 0.046377214766347534, 0.1822056066384059, -0.18944332800498329, -0.038004905513497354, 0.42612682194593027, -0.07709151758937184, -0.07325851740603595, 0.1751030914283828, -0.1549659601566334, -0.03386692561631657, 0.2918963973055181, 0.14014411622360734, 0.10340335699801631, -0.09555827659199533, -0.03257816456817571, -0.04771904115440305, 0.16699032875296382, 0.16634382658935698, -0.07558493966659166, 0.27703208904041304, 0.24897970819903403, -0.04083344627402185, 0.17404529250217313, -0.14845378501772805, -0.04153691481597261, -0.31282828101100996, -0.10362010366840231, -0.17536065570971707, 0.04361183151060274, -0.08232431018652428, -0.1986296478678117, 0.3532987793465865, 0.08398000941583023, 0.12459088276265208, -0.010750117798134224, 0.30421317403310355, 0.04302441696012296, 0.0688840944377571, 0.11670132581931875, 0.277196031351833, 0.1054167723734431, 0.1489580622970213, -0.25822940731142674, 0.10790256426199195, 0.06375677686319062] |
712.2258 | Subspace correction methods for total variation and
$\ell_1-$minimization | This paper is concerned with the numerical minimization of energy functionals
in Hilbert spaces involving convex constraints coinciding with a semi-norm for
a subspace. The optimization is realized by alternating minimizations of the
functional on a sequence of orthogonal subspaces. On each subspace an iterative
proximity-map algorithm is implemented via \emph{oblique thresholding}, which
is the main new tool introduced in this work. We provide convergence conditions
for the algorithm in order to compute minimizers of the target energy.
Analogous results are derived for a parallel variant of the algorithm.
Applications are presented in domain decomposition methods for singular
elliptic PDE's arising in total variation minimization and in accelerated
sparse recovery algorithms based on $\ell_1$-minimization. We include numerical
examples which show efficient solutions to classical problems in signal and
image processing.
| math.NA math.AP | this paper is concerned with the numerical minimization of energy functionals in hilbert spaces involving convex constraints coinciding with a seminorm for a subspace the optimization is realized by alternating minimizations of the functional on a sequence of orthogonal subspaces on each subspace an iterative proximitymap algorithm is implemented via emphoblique thresholding which is the main new tool introduced in this work we provide convergence conditions for the algorithm in order to compute minimizers of the target energy analogous results are derived for a parallel variant of the algorithm applications are presented in domain decomposition methods for singular elliptic pdes arising in total variation minimization and in accelerated sparse recovery algorithms based on ell_1minimization we include numerical examples which show efficient solutions to classical problems in signal and image processing | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'numerical', 'minimization', 'of', 'energy', 'functionals', 'in', 'hilbert', 'spaces', 'involving', 'convex', 'constraints', 'coinciding', 'with', 'a', 'seminorm', 'for', 'a', 'subspace', 'the', 'optimization', 'is', 'realized', 'by', 'alternating', 'minimizations', 'of', 'the', 'functional', 'on', 'a', 'sequence', 'of', 'orthogonal', 'subspaces', 'on', 'each', 'subspace', 'an', 'iterative', 'proximitymap', 'algorithm', 'is', 'implemented', 'via', 'emphoblique', 'thresholding', 'which', 'is', 'the', 'main', 'new', 'tool', 'introduced', 'in', 'this', 'work', 'we', 'provide', 'convergence', 'conditions', 'for', 'the', 'algorithm', 'in', 'order', 'to', 'compute', 'minimizers', 'of', 'the', 'target', 'energy', 'analogous', 'results', 'are', 'derived', 'for', 'a', 'parallel', 'variant', 'of', 'the', 'algorithm', 'applications', 'are', 'presented', 'in', 'domain', 'decomposition', 'methods', 'for', 'singular', 'elliptic', 'pdes', 'arising', 'in', 'total', 'variation', 'minimization', 'and', 'in', 'accelerated', 'sparse', 'recovery', 'algorithms', 'based', 'on', 'ell_1minimization', 'we', 'include', 'numerical', 'examples', 'which', 'show', 'efficient', 'solutions', 'to', 'classical', 'problems', 'in', 'signal', 'and', 'image', 'processing']] | [-0.11361600977397757, -0.0033133810164827082, -0.0920009475776169, 0.07918511463685718, -0.05764850805098831, -0.11923436386859976, -0.01722626280024997, 0.4011982678202912, -0.32886356995913957, -0.2527279359928798, 0.16217523069099116, -0.23050397825500113, -0.17214201876777224, 0.2248677361640148, -0.12254173977999017, 0.11731055169821047, 0.10262541587326268, 0.02001666334604124, -0.11713954908123014, -0.26321492208808195, 0.31025637346465373, 0.014458770536293741, 0.24943823914509267, 0.01081269188580336, 0.13364457857824164, 0.01989735709139495, -0.03883481823140755, 0.011099827359430492, -0.1266862753454916, 0.1914379143199767, 0.3018947676609969, 0.14684999078599503, 0.3245238569086837, -0.41391889093938516, -0.1799099788750027, 0.13403727688637446, 0.1502282023357111, 0.06598492964076286, -0.08149245599634014, -0.24816487323550973, 0.10220975298216217, -0.08718853275695437, -0.06060063027689466, -0.11742589617460908, -0.06455600145636708, 0.06247208251807024, -0.3483994187990902, 0.08042113585997868, 0.03996666465536691, 0.0363813167787157, -0.13133640466548968, -0.13015199274377665, 0.08014941592409741, 0.004034856025100453, 0.044215114390681265, 0.04485864469825174, 0.08553962701989803, -0.06412478255151655, -0.1649454343059915, 0.36123766604032426, -0.04454649579611214, -0.27090503938961774, 0.15131381846003933, -0.02490675293847744, -0.16612480216826953, 0.15382269278052263, 0.21745335907689878, 0.16809005763934692, -0.12754199614573736, 0.1365137635702922, -0.03848443985771155, 0.1009055758077011, 0.042640314783056965, 0.0069237673305906355, 0.06037889034632826, 0.15296012039516427, 0.19734031784901163, 0.18358706213075493, -0.03517395033304638, -0.10844088046133038, -0.3071614498985582, -0.1357429894087545, -0.23776982161325577, -0.03578337518047192, -0.095189164006797, -0.1844065508339554, 0.4003250149980886, 0.09849966969477464, 0.18032195302657783, 0.06783287331018073, 0.33308104716161324, 0.1377264490147354, 0.01357131222175667, 0.09326799147675047, 0.1818826543403702, 0.15082903329130204, 0.06368151198330452, -0.206685307668522, 0.01749171334449784, 0.18897264786573942] |
712.2259 | Poisson-Lie T-Duality and non trivial monodromies | We describe a general framework for studying duality between different phase
spaces which share the same symmetry group $\mathrm{H}$. Solutions
corresponding to collective dynamics become dual in the sense that they are
generated by the same curve in $\mathrm{H}$. Explicit examples of phase spaces
which are dual with respect to a common non trivial coadjoint orbit
$\mathcal{O}_{c,0}(\mathbf{\alpha},1) \subset\mathfrak{h}^{\ast}$ are
constructed on the cotangent bundles of the factors of a double Lie group
$\mathrm{H}=\mathrm{N}\Join\mathrm{N}^{\ast}$. In the case $\mathrm{H}=LD$, the
loop group of a Drinfeld double Lie group $D$, a hamiltonian description of
Poisson-Lie T-duality for non trivial monodromies and its relation with non
trivial coadjoint orbits is obtained.
| math-ph math.MP | we describe a general framework for studying duality between different phase spaces which share the same symmetry group mathrmh solutions corresponding to collective dynamics become dual in the sense that they are generated by the same curve in mathrmh explicit examples of phase spaces which are dual with respect to a common non trivial coadjoint orbit mathcalo_c0mathbfalpha1 subsetmathfrakhast are constructed on the cotangent bundles of the factors of a double lie group mathrmhmathrmnjoinmathrmnast in the case mathrmhld the loop group of a drinfeld double lie group d a hamiltonian description of poissonlie tduality for non trivial monodromies and its relation with non trivial coadjoint orbits is obtained | [['we', 'describe', 'a', 'general', 'framework', 'for', 'studying', 'duality', 'between', 'different', 'phase', 'spaces', 'which', 'share', 'the', 'same', 'symmetry', 'group', 'mathrmh', 'solutions', 'corresponding', 'to', 'collective', 'dynamics', 'become', 'dual', 'in', 'the', 'sense', 'that', 'they', 'are', 'generated', 'by', 'the', 'same', 'curve', 'in', 'mathrmh', 'explicit', 'examples', 'of', 'phase', 'spaces', 'which', 'are', 'dual', 'with', 'respect', 'to', 'a', 'common', 'non', 'trivial', 'coadjoint', 'orbit', 'mathcalo_c0mathbfalpha1', 'subsetmathfrakhast', 'are', 'constructed', 'on', 'the', 'cotangent', 'bundles', 'of', 'the', 'factors', 'of', 'a', 'double', 'lie', 'group', 'mathrmhmathrmnjoinmathrmnast', 'in', 'the', 'case', 'mathrmhld', 'the', 'loop', 'group', 'of', 'a', 'drinfeld', 'double', 'lie', 'group', 'd', 'a', 'hamiltonian', 'description', 'of', 'poissonlie', 'tduality', 'for', 'non', 'trivial', 'monodromies', 'and', 'its', 'relation', 'with', 'non', 'trivial', 'coadjoint', 'orbits', 'is', 'obtained']] | [-0.22559953573187, 0.10776379201120416, -0.12046262295464578, 0.08534723803857612, -0.11879227096124471, -0.15127927960954535, 0.010763222722390902, 0.35379083308129056, -0.2928562883549885, -0.1965052688983721, 0.09577450720769652, -0.24567812913124568, -0.15675552923557828, 0.1916737716500331, -0.11019117353502118, -0.016515893604520493, 0.04893542268286342, 0.1359916640574438, -0.1784345912102845, -0.23747100227159781, 0.39245609910164064, -0.02439797751083337, 0.25996015545713164, -0.07068969572451218, 0.09840615961736845, 0.016681174589411436, 0.010530022067894924, -0.017659362934493612, -0.09522619684605726, 0.10475895743143464, 0.2815133184963132, -0.008196570779404883, 0.14387752081819097, -0.36439240935430367, -0.13543913762528195, 0.1452323949705918, 0.12680908265519092, 0.04922280650025288, -0.03652703752673403, -0.3286541906226137, 0.0746741132094136, -0.19101841854003881, -0.1817641128351894, -0.09521702218583776, 0.03909424878656864, -0.028174721355577116, -0.19541635376274658, 0.0017642619911111095, 0.06852732733054792, 0.10791042635841205, -0.07409651791428225, -0.047868699837900985, -0.11817921021754302, 0.11823778164129957, 0.026633389043232914, 0.03650460160310263, 0.12618366243358412, -0.09672128821913044, -0.13493735402103657, 0.41886634817256513, -0.038844953306941585, -0.2295657269728994, 0.15159727029900238, -0.1833696855928351, -0.18142765490519044, 0.1343023173863665, 0.09297351164797556, 0.14818461667475047, -0.07035261214466638, 0.17854582143945222, -0.09242446987790245, 0.018761348350027813, 0.058354011350266126, 0.011593021880224963, 0.17587513049829354, 0.07637552997477136, 0.056926777577298936, 0.09238972853941535, 0.057338344667884476, -0.14688600341052505, -0.3650060527171325, -0.17213069212179885, -0.06565598370642989, 0.07825965277886796, -0.09699710212109353, -0.18791248280672557, 0.40871677647154886, -0.0035196627101417885, 0.21184675562313027, 0.0763152776194456, 0.1805992513867909, 0.09223704908926998, 0.07170642524939573, 0.06516840737041774, 0.20132722662201205, 0.22897972711090686, -0.06251255060699813, -0.2124846443422003, -0.08855103578834424, 0.20318319102369467] |
712.226 | The initial value problem of scalar-tensor theories of gravity | The initial value problem of scalar-tensor theories of gravity (STT) is
analyzed in the physical (Jordan) frame using a 3+1 decomposition of spacetime.
A first order strongly hyperbolic system is obtained for which the well
posedness of the Cauchy problem can be established. We provide two simple
applications of the 3+1 system of equations: one for static and spherically
symmetric spacetimes which allows the construction of unstable initial data
(compact objects) for which a further black hole formation and scalar
gravitational wave emission can be analyzed, and another application is for
homogeneous and isotropic spacetimes that permits to study the dynamics of the
Universe in the framework of STT.
| gr-qc | the initial value problem of scalartensor theories of gravity stt is analyzed in the physical jordan frame using a 31 decomposition of spacetime a first order strongly hyperbolic system is obtained for which the well posedness of the cauchy problem can be established we provide two simple applications of the 31 system of equations one for static and spherically symmetric spacetimes which allows the construction of unstable initial data compact objects for which a further black hole formation and scalar gravitational wave emission can be analyzed and another application is for homogeneous and isotropic spacetimes that permits to study the dynamics of the universe in the framework of stt | [['the', 'initial', 'value', 'problem', 'of', 'scalartensor', 'theories', 'of', 'gravity', 'stt', 'is', 'analyzed', 'in', 'the', 'physical', 'jordan', 'frame', 'using', 'a', '31', 'decomposition', 'of', 'spacetime', 'a', 'first', 'order', 'strongly', 'hyperbolic', 'system', 'is', 'obtained', 'for', 'which', 'the', 'well', 'posedness', 'of', 'the', 'cauchy', 'problem', 'can', 'be', 'established', 'we', 'provide', 'two', 'simple', 'applications', 'of', 'the', '31', 'system', 'of', 'equations', 'one', 'for', 'static', 'and', 'spherically', 'symmetric', 'spacetimes', 'which', 'allows', 'the', 'construction', 'of', 'unstable', 'initial', 'data', 'compact', 'objects', 'for', 'which', 'a', 'further', 'black', 'hole', 'formation', 'and', 'scalar', 'gravitational', 'wave', 'emission', 'can', 'be', 'analyzed', 'and', 'another', 'application', 'is', 'for', 'homogeneous', 'and', 'isotropic', 'spacetimes', 'that', 'permits', 'to', 'study', 'the', 'dynamics', 'of', 'the', 'universe', 'in', 'the', 'framework', 'of', 'stt']] | [-0.17246692043242104, 0.0675242754370145, -0.10753540657706337, 0.09327096655140332, -0.09824636717831049, -0.12755860304972583, -0.0624245755596582, 0.2992009509252299, -0.20863929433628506, -0.25617443812891433, 0.1360534561323771, -0.21370151385020383, -0.11561672788950692, 0.2075584904726492, -0.010870627845304275, 0.055187590668029196, 0.013331129899197216, 0.049443685909179934, -0.09975855108649564, -0.21906467580979844, 0.40807776016379715, 0.03662817582590591, 0.24410476023758496, 0.0009393843762371518, 0.11435172475400218, -0.011224447711106015, 0.00932148964477515, 0.07740188575426646, -0.12012513464888389, 0.08578394881637613, 0.22487559191105083, 0.14143212685583656, 0.20447147044848754, -0.38626243090342494, -0.24285619114413473, 0.07375507880378207, 0.13717840479071672, 0.16892250601326142, -0.056787592719080474, -0.30778055096369816, 0.08155919520030601, -0.18555372433284076, -0.18397856829260742, -0.03686171019911219, 0.0557166882577019, -0.01738201721930244, -0.27611984662848327, 0.10513390114300226, 0.07237015034439503, -0.03893533182424416, -0.16777860850080797, -0.02747355952833292, -0.02823567541888616, 0.08658734099392634, 0.053162257537382455, 0.021594443817734035, 0.11478844399504158, -0.08469386695704739, -0.11784374588831337, 0.4317005594269535, -0.08671554982119642, -0.23454870280185972, 0.15878541748799863, -0.16401152882656647, -0.0977370022291984, 0.10494013389128201, 0.17169563581637287, 0.19857872130537252, -0.18685558235802507, 0.12726843154587603, -0.022746818776561775, 0.13623103552707258, 0.10669938547519642, 0.019862606877956643, 0.2778636270540194, 0.1487808448279601, 0.04441423897862161, 0.14970186320475276, -0.03234655503183603, -0.10507769135378062, -0.3429969162752301, -0.17819819948235485, -0.14915393601778312, 0.08821401724401208, -0.1555921279674678, -0.1861052016018454, 0.37598897424876826, 0.09148163365097631, 0.10232465182764268, 0.026457439923291564, 0.2363304658408422, 0.10315505834029338, -0.0002648340401436211, 0.08908155689084339, 0.27739619089444295, 0.16932350910619037, 0.1350586145428445, -0.20934565585328763, -0.03635910677578334, 0.08842133466632815] |
712.2261 | When Worlds Collide | We analyze the cosmological signatures visible to an observer in a Coleman-de
Luccia bubble when another such bubble collides with it. We use a gluing
procedure to generalize the results of Freivogel, Horowitz, and Shenker to the
case of a general cosmological constant in each bubble and study the resulting
spacetimes. The collision breaks the isotropy and homogeneity of the bubble
universe and provides a cosmological "axis of evil" which can affect the cosmic
microwave background in several unique and potentially detectable ways. Unlike
more conventional perturbations to the inflationary initial state, these
signatures can survive even relatively long periods of inflation. In addition,
we find that for a given collision the observers in the bubble with smaller
cosmological constant are safest from collisions with domain walls, possibly
providing another anthropic selection principle for small positive vacuum
energy.
| hep-th astro-ph gr-qc | we analyze the cosmological signatures visible to an observer in a colemande luccia bubble when another such bubble collides with it we use a gluing procedure to generalize the results of freivogel horowitz and shenker to the case of a general cosmological constant in each bubble and study the resulting spacetimes the collision breaks the isotropy and homogeneity of the bubble universe and provides a cosmological axis of evil which can affect the cosmic microwave background in several unique and potentially detectable ways unlike more conventional perturbations to the inflationary initial state these signatures can survive even relatively long periods of inflation in addition we find that for a given collision the observers in the bubble with smaller cosmological constant are safest from collisions with domain walls possibly providing another anthropic selection principle for small positive vacuum energy | [['we', 'analyze', 'the', 'cosmological', 'signatures', 'visible', 'to', 'an', 'observer', 'in', 'a', 'colemande', 'luccia', 'bubble', 'when', 'another', 'such', 'bubble', 'collides', 'with', 'it', 'we', 'use', 'a', 'gluing', 'procedure', 'to', 'generalize', 'the', 'results', 'of', 'freivogel', 'horowitz', 'and', 'shenker', 'to', 'the', 'case', 'of', 'a', 'general', 'cosmological', 'constant', 'in', 'each', 'bubble', 'and', 'study', 'the', 'resulting', 'spacetimes', 'the', 'collision', 'breaks', 'the', 'isotropy', 'and', 'homogeneity', 'of', 'the', 'bubble', 'universe', 'and', 'provides', 'a', 'cosmological', 'axis', 'of', 'evil', 'which', 'can', 'affect', 'the', 'cosmic', 'microwave', 'background', 'in', 'several', 'unique', 'and', 'potentially', 'detectable', 'ways', 'unlike', 'more', 'conventional', 'perturbations', 'to', 'the', 'inflationary', 'initial', 'state', 'these', 'signatures', 'can', 'survive', 'even', 'relatively', 'long', 'periods', 'of', 'inflation', 'in', 'addition', 'we', 'find', 'that', 'for', 'a', 'given', 'collision', 'the', 'observers', 'in', 'the', 'bubble', 'with', 'smaller', 'cosmological', 'constant', 'are', 'safest', 'from', 'collisions', 'with', 'domain', 'walls', 'possibly', 'providing', 'another', 'anthropic', 'selection', 'principle', 'for', 'small', 'positive', 'vacuum', 'energy']] | [-0.14860455552369115, 0.1493790942469681, -0.13456877082437818, 0.1045424634218722, -0.11032515827674365, -0.1303783680457433, -0.014943825266580436, 0.3384257954464335, -0.23279315028744546, -0.2775479626261454, 0.09558189048075819, -0.2470957297383406, -0.029180754954670218, 0.17193110398037117, -0.03810353149605942, -0.020301707922413512, 0.04168003295932937, 0.017943334973255252, -0.02308771645387068, -0.24265029669935018, 0.33189242471522395, 0.12399389256682733, 0.22783143164428032, 0.017454702776613765, 0.08934175948430177, -0.05118083065262645, -0.02562283290266667, 0.062275380911845445, -0.18094073793964935, 0.04332390655379614, 0.18837132436032256, 0.14155583089703452, 0.23106658829889004, -0.42913040312924894, -0.2266984564189772, 0.15873612321076402, 0.13799947610064206, 0.2232162999419455, -0.06452092236767108, -0.2987815218596328, 0.049973222508054714, -0.16894305944531327, -0.17366933861099507, -0.02910217688506658, 0.0027679377269215774, -0.04622339732789745, -0.24753264918167522, 0.11104216938754004, -8.595771783881861e-05, -0.028352494059683944, -0.07841424630833385, -0.026878071475632325, -0.021885343709204724, 0.06268688355360781, 0.12466810463313553, 0.03487408896520113, 0.15141802692475417, -0.13235916339444753, -0.09972109824446017, 0.3920288770392105, -0.10744095340614086, -0.1368148126706913, 0.19585939026370214, -0.18612421308711602, -0.1178548175747088, 0.11958305451148392, 0.11188536256119824, 0.10123976839004435, -0.0895337204612746, 0.08778217699896693, 0.025786703099004007, 0.1322464590244319, 0.16861564785147598, 0.014536112623265606, 0.2876164412557863, 0.11518926288851578, 0.054379708724150405, 0.11866798630638885, -0.07423723347323097, -0.07264619502297981, -0.3766528245777, -0.129294421493862, -0.13572903704303113, 0.07255109187310049, -0.165409834221477, -0.18445919072120517, 0.3449586103737786, 0.12262814945838266, 0.21081022724198797, 0.01758323031126697, 0.2618249152564322, 0.011398089131799297, 0.03706967152074735, 0.10056098430177898, 0.29166404222664627, 0.0640442603161437, 0.1343142854495217, -0.21745266100438987, 0.02617166320577372, 0.00901982417681079] |
712.2262 | The Earth System Grid: Supporting the Next Generation of Climate
Modeling Research | Understanding the earth's climate system and how it might be changing is a
preeminent scientific challenge. Global climate models are used to simulate
past, present, and future climates, and experiments are executed continuously
on an array of distributed supercomputers. The resulting data archive, spread
over several sites, currently contains upwards of 100 TB of simulation data and
is growing rapidly. Looking toward mid-decade and beyond, we must anticipate
and prepare for distributed climate research data holdings of many petabytes.
The Earth System Grid (ESG) is a collaborative interdisciplinary project aimed
at addressing the challenge of enabling management, discovery, access, and
analysis of these critically important datasets in a distributed and
heterogeneous computational environment. The problem is fundamentally a Grid
problem. Building upon the Globus toolkit and a variety of other technologies,
ESG is developing an environment that addresses authentication, authorization
for data access, large-scale data transport and management, services and
abstractions for high-performance remote data access, mechanisms for scalable
data replication, cataloging with rich semantic and syntactic information, data
discovery, distributed monitoring, and Web-based portals for using the system.
| cs.CE cs.DC cs.NI | understanding the earths climate system and how it might be changing is a preeminent scientific challenge global climate models are used to simulate past present and future climates and experiments are executed continuously on an array of distributed supercomputers the resulting data archive spread over several sites currently contains upwards of 100 tb of simulation data and is growing rapidly looking toward middecade and beyond we must anticipate and prepare for distributed climate research data holdings of many petabytes the earth system grid esg is a collaborative interdisciplinary project aimed at addressing the challenge of enabling management discovery access and analysis of these critically important datasets in a distributed and heterogeneous computational environment the problem is fundamentally a grid problem building upon the globus toolkit and a variety of other technologies esg is developing an environment that addresses authentication authorization for data access largescale data transport and management services and abstractions for highperformance remote data access mechanisms for scalable data replication cataloging with rich semantic and syntactic information data discovery distributed monitoring and webbased portals for using the system | [['understanding', 'the', 'earths', 'climate', 'system', 'and', 'how', 'it', 'might', 'be', 'changing', 'is', 'a', 'preeminent', 'scientific', 'challenge', 'global', 'climate', 'models', 'are', 'used', 'to', 'simulate', 'past', 'present', 'and', 'future', 'climates', 'and', 'experiments', 'are', 'executed', 'continuously', 'on', 'an', 'array', 'of', 'distributed', 'supercomputers', 'the', 'resulting', 'data', 'archive', 'spread', 'over', 'several', 'sites', 'currently', 'contains', 'upwards', 'of', '100', 'tb', 'of', 'simulation', 'data', 'and', 'is', 'growing', 'rapidly', 'looking', 'toward', 'middecade', 'and', 'beyond', 'we', 'must', 'anticipate', 'and', 'prepare', 'for', 'distributed', 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712.2263 | Two-dimensional correlation spectroscopy of two-exciton resonances in
semiconductor quantum wells | We propose a three-pulse coherent ultrafast optical technique that is
particularly sensitive to two-exciton correlations. Two Liouville-space
pathways for the density matrix contribute to this signal which reveals double
quantum coherences when displayed as a two-dimensional correlation plot.
Two-exciton couplings spread the cross peaks along both axes, creating a
characteristic highly resolved pattern. This level of detail is not available
from conventional one-dimensional four-wave mixing or other two-dimensional
correlation spectroscopy signals such as the photo echo, in which two-exciton
couplings show up along a single axis and are highly congested.
| cond-mat.mes-hall | we propose a threepulse coherent ultrafast optical technique that is particularly sensitive to twoexciton correlations two liouvillespace pathways for the density matrix contribute to this signal which reveals double quantum coherences when displayed as a twodimensional correlation plot twoexciton couplings spread the cross peaks along both axes creating a characteristic highly resolved pattern this level of detail is not available from conventional onedimensional fourwave mixing or other twodimensional correlation spectroscopy signals such as the photo echo in which twoexciton couplings show up along a single axis and are highly congested | [['we', 'propose', 'a', 'threepulse', 'coherent', 'ultrafast', 'optical', 'technique', 'that', 'is', 'particularly', 'sensitive', 'to', 'twoexciton', 'correlations', 'two', 'liouvillespace', 'pathways', 'for', 'the', 'density', 'matrix', 'contribute', 'to', 'this', 'signal', 'which', 'reveals', 'double', 'quantum', 'coherences', 'when', 'displayed', 'as', 'a', 'twodimensional', 'correlation', 'plot', 'twoexciton', 'couplings', 'spread', 'the', 'cross', 'peaks', 'along', 'both', 'axes', 'creating', 'a', 'characteristic', 'highly', 'resolved', 'pattern', 'this', 'level', 'of', 'detail', 'is', 'not', 'available', 'from', 'conventional', 'onedimensional', 'fourwave', 'mixing', 'or', 'other', 'twodimensional', 'correlation', 'spectroscopy', 'signals', 'such', 'as', 'the', 'photo', 'echo', 'in', 'which', 'twoexciton', 'couplings', 'show', 'up', 'along', 'a', 'single', 'axis', 'and', 'are', 'highly', 'congested']] | [-0.14460346314849126, 0.20513237630948425, -0.07006647370548712, 0.09422353523679905, -0.01924364005939828, -0.19086308716537637, 0.017537194909527896, 0.4451619243456258, -0.31682774829160837, -0.2328523446702295, 0.029657100786506716, -0.3070342086514251, -0.1524651133429466, 0.20376539970812801, 0.08665671905813117, 0.02375399958756235, 0.04825617520319712, -0.039692437359028394, -0.0697511499411323, -0.1293229909005782, 0.2702447532055279, 0.017554222419534603, 0.3235939119114644, 0.05362604095781636, 0.05897309273067448, 0.05237804004508588, 0.00202843573772245, -0.04644002737477422, -0.04209880025114722, 0.06904825121940424, 0.26816918325300015, 0.009097297726677627, 0.16728229379902285, -0.38911778177652095, -0.19914292056475663, 0.06914843438749409, 0.21074917292151238, 0.15330022017523232, -0.07817499416673349, -0.286737258432226, -0.018007549846596603, -0.12983863782137633, -0.1124844607198611, -0.09606844240851287, -0.017107186921768717, 0.005079583678808477, -0.27391092877110673, 0.13220085708114007, -0.010204611268515388, 0.04104170423621933, 0.04372354917642143, -0.059025626226017876, -0.04688995046955016, 0.09117682750188073, -0.024708036452324854, 0.026970382787921052, 0.1660309667647299, -0.11488370641859041, -0.12450450892534314, 0.35933612927070097, -0.091617366963894, -0.15900271721184253, 0.1626311871740553, -0.15799258688671722, -0.08598227997879601, 0.18555440955484906, 0.1384445226337347, 0.12292075555047227, -0.16898101236907273, -0.01820756984784061, 0.0018958956611135767, 0.22484066951728893, 0.08146134361417758, 0.12612744995082417, 0.23116062644662128, 0.14958393640764472, 0.035077905056015074, 0.12160533657362167, -0.1790039373251299, -0.09888851590351098, -0.2219949679002942, -0.12654427741654217, -0.14831219500758583, 0.0819039613708608, -0.0342174242455965, -0.18119729202654627, 0.4262351201226314, 0.10329075505336126, 0.2350498498417437, -0.03519988314817763, 0.33942927395304046, 0.11450871650595218, 0.06858160072782388, -0.007307692190321783, 0.24106847992063396, 0.16156706431259713, 0.09513516704189695, -0.24889926655580186, 0.06490116101793117, -0.04749931456365933] |
712.2264 | Phenomenology of Infrared Smooth Warped Extra Dimensions | We study the effect of the infrared (IR) geometry on the phenomenology of
warped extra dimensions with gauge and fermion fields in the bulk. We focus in
particular on a "mass gap" metric which is AdS in the ultraviolet, but
asymptotes to flat space in the IR, breaking conformal symmetry. These metrics
can be dialed to approximate well the geometries arising in certain classes of
warped string compactifications. We find, similar to our earlier results on the
Kaluza-Klein (KK) graviton, that these metrics give rise to phenomenologically
significant shifts in the separation of KK gauge modes in the mass spectrum (up
to factors of ~2) and their couplings to IR localized fields (up to factors of
~5-10 increase). We find that, despite shifts in the spectra, the constraint
m_KK > 3 TeV from S remains robust in the class of 5-d mass gap metrics, and
that the change to T is not significant enough to remove the need for custodial
symmetry.
| hep-ph | we study the effect of the infrared ir geometry on the phenomenology of warped extra dimensions with gauge and fermion fields in the bulk we focus in particular on a mass gap metric which is ads in the ultraviolet but asymptotes to flat space in the ir breaking conformal symmetry these metrics can be dialed to approximate well the geometries arising in certain classes of warped string compactifications we find similar to our earlier results on the kaluzaklein kk graviton that these metrics give rise to phenomenologically significant shifts in the separation of kk gauge modes in the mass spectrum up to factors of 2 and their couplings to ir localized fields up to factors of 510 increase we find that despite shifts in the spectra the constraint m_kk 3 tev from s remains robust in the class of 5d mass gap metrics and that the change to t is not significant enough to remove the need for custodial symmetry | [['we', 'study', 'the', 'effect', 'of', 'the', 'infrared', 'ir', 'geometry', 'on', 'the', 'phenomenology', 'of', 'warped', 'extra', 'dimensions', 'with', 'gauge', 'and', 'fermion', 'fields', 'in', 'the', 'bulk', 'we', 'focus', 'in', 'particular', 'on', 'a', 'mass', 'gap', 'metric', 'which', 'is', 'ads', 'in', 'the', 'ultraviolet', 'but', 'asymptotes', 'to', 'flat', 'space', 'in', 'the', 'ir', 'breaking', 'conformal', 'symmetry', 'these', 'metrics', 'can', 'be', 'dialed', 'to', 'approximate', 'well', 'the', 'geometries', 'arising', 'in', 'certain', 'classes', 'of', 'warped', 'string', 'compactifications', 'we', 'find', 'similar', 'to', 'our', 'earlier', 'results', 'on', 'the', 'kaluzaklein', 'kk', 'graviton', 'that', 'these', 'metrics', 'give', 'rise', 'to', 'phenomenologically', 'significant', 'shifts', 'in', 'the', 'separation', 'of', 'kk', 'gauge', 'modes', 'in', 'the', 'mass', 'spectrum', 'up', 'to', 'factors', 'of', '2', 'and', 'their', 'couplings', 'to', 'ir', 'localized', 'fields', 'up', 'to', 'factors', 'of', '510', 'increase', 'we', 'find', 'that', 'despite', 'shifts', 'in', 'the', 'spectra', 'the', 'constraint', 'm_kk', '3', 'tev', 'from', 's', 'remains', 'robust', 'in', 'the', 'class', 'of', '5d', 'mass', 'gap', 'metrics', 'and', 'that', 'the', 'change', 'to', 't', 'is', 'not', 'significant', 'enough', 'to', 'remove', 'the', 'need', 'for', 'custodial', 'symmetry']] | [-0.13038334857992595, 0.17824772112071513, -0.05009158521861536, 0.12181725107511739, -0.0801129849390236, -0.1053506222757278, 0.030418093368643893, 0.38973445990122857, -0.1992754549952224, -0.3250653551040159, 0.07237832277969573, -0.27426846501766705, -0.09363163240050199, 0.12056898363662186, -0.054749691390316005, 0.005531061818328453, -0.025219046413985778, 0.02896947937551886, -0.12112885640381137, -0.2507459744869266, 0.38535553396723116, 0.04724056327249855, 0.2556630116421729, 0.09757543384112069, 0.027471209557552355, -0.05904958756145788, -0.010601966455578805, -0.012626072517196007, -0.13952022298394695, 0.11282075895014713, 0.2268458285194356, 0.039415326455491596, 0.1264646168487616, -0.34965195453260095, -0.19657072083791718, 0.10357489277084823, 0.15344959634821861, 0.13390160771887166, -0.027492698068090248, -0.2681233420751596, 0.08198481743747835, -0.14473618682968664, -0.13377614595083287, -0.0704739924549358, 0.010727940876677167, -0.11709635504084873, -0.2599151303729741, 0.07398627028451302, 0.028553960340650518, 0.020729934994596987, -0.07170157532818848, -0.08821586378180654, -0.08967215091688559, 0.08615768222371116, 0.19463598105649, 0.04227148480422329, 0.11085510600387352, -0.16681282295940036, -0.1130766148067778, 0.3755543545063119, -0.11498371105990372, -0.18909014624950943, 0.20165196037487476, -0.17860082419938408, -0.1481914037372917, 0.15647315083479044, 0.19528782142442652, 0.11899888827174436, -0.1033277078629908, 0.1885944188969006, -0.0013847697147866711, 0.17399092475534417, 0.09789191378804389, 0.10872677202860359, 0.23034221764537505, 0.08646546798554482, 0.06160472451301757, 0.10502483428645064, -0.056044132509850894, -0.06566874186391942, -0.36426186294993385, -0.12532789348588266, -0.10066676309506875, 0.10378657726478195, -0.13238723023650892, -0.15974798460956663, 0.3856965113809565, 0.11401208373235931, 0.23144334339740452, 0.030389703880791784, 0.1941691547559458, 0.07587118244628073, 0.15591758852242493, 0.06920399816081044, 0.31262706893030556, 0.09004676659678808, 0.0786012907679833, -0.25332060236687537, -0.11746528881631094, 0.05717336799425539] |
712.2265 | The de Finetti theorem for test spaces | We prove a de Finetti theorem for exchangeable sequences of states on test
spaces, where a test space is a generalization of the sample space of classical
probability theory and the Hilbert space of quantum theory. The standard
classical and quantum de Finetti theorems are obtained as special cases. By
working in a test space framework, the common features that are responsible for
the existence of these theorems are elucidated. In addition, the test space
framework is general enough to imply a de Finetti theorem for classical
processes. We conclude by discussing the ways in which our assumptions may
fail, leading to probabilistic models that do not have a de Finetti theorem.
| quant-ph | we prove a de finetti theorem for exchangeable sequences of states on test spaces where a test space is a generalization of the sample space of classical probability theory and the hilbert space of quantum theory the standard classical and quantum de finetti theorems are obtained as special cases by working in a test space framework the common features that are responsible for the existence of these theorems are elucidated in addition the test space framework is general enough to imply a de finetti theorem for classical processes we conclude by discussing the ways in which our assumptions may fail leading to probabilistic models that do not have a de finetti theorem | [['we', 'prove', 'a', 'de', 'finetti', 'theorem', 'for', 'exchangeable', 'sequences', 'of', 'states', 'on', 'test', 'spaces', 'where', 'a', 'test', 'space', 'is', 'a', 'generalization', 'of', 'the', 'sample', 'space', 'of', 'classical', 'probability', 'theory', 'and', 'the', 'hilbert', 'space', 'of', 'quantum', 'theory', 'the', 'standard', 'classical', 'and', 'quantum', 'de', 'finetti', 'theorems', 'are', 'obtained', 'as', 'special', 'cases', 'by', 'working', 'in', 'a', 'test', 'space', 'framework', 'the', 'common', 'features', 'that', 'are', 'responsible', 'for', 'the', 'existence', 'of', 'these', 'theorems', 'are', 'elucidated', 'in', 'addition', 'the', 'test', 'space', 'framework', 'is', 'general', 'enough', 'to', 'imply', 'a', 'de', 'finetti', 'theorem', 'for', 'classical', 'processes', 'we', 'conclude', 'by', 'discussing', 'the', 'ways', 'in', 'which', 'our', 'assumptions', 'may', 'fail', 'leading', 'to', 'probabilistic', 'models', 'that', 'do', 'not', 'have', 'a', 'de', 'finetti', 'theorem']] | [-0.07385228652440544, 0.10655049142743726, -0.18398660875391215, 0.17860265022318345, -0.0472418217811667, -0.1457931643692843, 0.03566499277491987, 0.26720234769995194, -0.2216030492522155, -0.26015774781782447, 0.11975850313735593, -0.20721841481281444, -0.1616211158522804, 0.24549730692212637, -0.14876396466778324, 0.0388172428605945, 0.055691036936228296, 0.02756112752415772, -0.05277074800687842, -0.26691894112653763, 0.37909604979774614, 0.03187958772884615, 0.303405195416417, -0.018512811952470138, 0.09756038876366802, 0.06231211019829581, -0.037684384492292465, -0.0029553197321579966, -0.1481659253192577, 0.11407457469769204, 0.3051853868958655, 0.15970194873391716, 0.29987380730121266, -0.3897575100830701, -0.22526593750808388, 0.15473120329469175, 0.08627694108872674, 0.13521866738509353, -0.02208407066375782, -0.3446135854963878, 0.08111559200915508, -0.12750683800965948, -0.16073072356604307, -0.12213866149210974, -0.026344878332955495, 0.009169050941376813, -0.2527648147744393, 0.08222007549401107, 0.17161271202381354, -0.00797406043459757, -0.05112534601773534, -0.07055104584495504, 0.008342193753508451, 0.07728988701377862, 0.003237524880595239, -0.004199669488506126, 0.08676548335019366, -0.07585497911038276, -0.20139880807671165, 0.3323924821202776, -0.05838988676831442, -0.2095591560272234, 0.19050827023290498, -0.1346745202733603, -0.2137709168891888, 0.037677984623379804, 0.1099257993212502, 0.1272634018257252, -0.07471373284767781, 0.20245792372380883, -0.07128370585269295, 0.09822557301127485, 0.11135959021131774, 0.0790011263852648, 0.1773094073910865, 0.07144218023833153, 0.04419521491737604, 0.08966144207183138, -0.03385645478556398, -0.17072264303975057, -0.3502611022309533, -0.23337049039712707, -0.1820228641320552, 0.04578261401924725, -0.11314954961640719, -0.1966871180754554, 0.28895749210745897, 0.12831522771895315, 0.14099210515684849, 0.10827228440887536, 0.20327976921440236, 0.096102886089024, 0.00376275502432171, 0.03745357693488976, 0.2043723123980661, 0.1603115551323364, 0.06926489005646934, -0.09595212245663529, 0.03303797441185452, 0.1376155141624622] |
712.2266 | Dalitz Plot Analyses at CLEO-c | We present several recent analyses of Dalitz plots from the CLEO-c
experiment, including published and preliminary analyses of D+ to pi- pi+ pi+,
D+ to K- pi+ pi+, and D0 to K0_{S,L} pi+ pi- decays. More information on these
analyses can be found in References [1-3]. New preliminary analyses we present
include a search for CP asymmetry in D+ to K+ K- pi+ decays and a Dalitz plot
analysis of D0 to K0_{S} pi0 pi0. We report on a search for the CP asymmetry in
the singly Cabibbo-suppressed decay D+ to K+ K- pi+ using a data sample of 572
pb^{-1} accumulated with the CLEO-c detector and taken at the e+ e- to
psi(3770) resonance. We have searched for CP asymmetries using a Dalitz plot
based analysis that determines the amplitudes and relative phases of the
intermediate states. We also use a 281 pb^{-1} CLEO-c data sample taken at the
e+ e- to psi(3770) resonance to study the D0 to K0_S pi0 pi0 Dalitz plot. Our
nominal fit includes the K0_S, K*(892), f_0(980), f_0(1370), and K*(1680)
resonances.
| hep-ex | we present several recent analyses of dalitz plots from the cleoc experiment including published and preliminary analyses of d to pi pi pi d to k pi pi and d0 to k0_sl pi pi decays more information on these analyses can be found in references 13 new preliminary analyses we present include a search for cp asymmetry in d to k k pi decays and a dalitz plot analysis of d0 to k0_s pi0 pi0 we report on a search for the cp asymmetry in the singly cabibbosuppressed decay d to k k pi using a data sample of 572 pb1 accumulated with the cleoc detector and taken at the e e to psi3770 resonance we have searched for cp asymmetries using a dalitz plot based analysis that determines the amplitudes and relative phases of the intermediate states we also use a 281 pb1 cleoc data sample taken at the e e to psi3770 resonance to study the d0 to k0_s pi0 pi0 dalitz plot our nominal fit includes the k0_s k892 f_0980 f_01370 and k1680 resonances | [['we', 'present', 'several', 'recent', 'analyses', 'of', 'dalitz', 'plots', 'from', 'the', 'cleoc', 'experiment', 'including', 'published', 'and', 'preliminary', 'analyses', 'of', 'd', 'to', 'pi', 'pi', 'pi', 'd', 'to', 'k', 'pi', 'pi', 'and', 'd0', 'to', 'k0_sl', 'pi', 'pi', 'decays', 'more', 'information', 'on', 'these', 'analyses', 'can', 'be', 'found', 'in', 'references', '13', 'new', 'preliminary', 'analyses', 'we', 'present', 'include', 'a', 'search', 'for', 'cp', 'asymmetry', 'in', 'd', 'to', 'k', 'k', 'pi', 'decays', 'and', 'a', 'dalitz', 'plot', 'analysis', 'of', 'd0', 'to', 'k0_s', 'pi0', 'pi0', 'we', 'report', 'on', 'a', 'search', 'for', 'the', 'cp', 'asymmetry', 'in', 'the', 'singly', 'cabibbosuppressed', 'decay', 'd', 'to', 'k', 'k', 'pi', 'using', 'a', 'data', 'sample', 'of', '572', 'pb1', 'accumulated', 'with', 'the', 'cleoc', 'detector', 'and', 'taken', 'at', 'the', 'e', 'e', 'to', 'psi3770', 'resonance', 'we', 'have', 'searched', 'for', 'cp', 'asymmetries', 'using', 'a', 'dalitz', 'plot', 'based', 'analysis', 'that', 'determines', 'the', 'amplitudes', 'and', 'relative', 'phases', 'of', 'the', 'intermediate', 'states', 'we', 'also', 'use', 'a', '281', 'pb1', 'cleoc', 'data', 'sample', 'taken', 'at', 'the', 'e', 'e', 'to', 'psi3770', 'resonance', 'to', 'study', 'the', 'd0', 'to', 'k0_s', 'pi0', 'pi0', 'dalitz', 'plot', 'our', 'nominal', 'fit', 'includes', 'the', 'k0_s', 'k892', 'f_0980', 'f_01370', 'and', 'k1680', 'resonances']] | [-0.10098233506133475, 0.174803400120177, -0.17192259286188305, 0.08584040931641719, -0.07922007992211202, -0.14691179414611247, 0.16226930188483396, 0.2635416626130457, -0.17072524606002926, -0.25976744973979427, -0.0954565985797836, -0.4705301301348639, 0.03136979150822607, 0.13612195248399878, 0.15002592082140642, 0.15359123141667938, 0.13024415424104127, -0.009285159477448396, -0.0499113554261246, -0.133388740016479, 0.17289210514738987, -0.02495231161862191, 0.17702769314459824, 0.058209059039120284, -0.09893831419811115, 0.03595344681755803, -0.1298054047770756, -0.10940628577718291, -0.24910730414118357, 0.02371557619216152, 0.3039042580988532, 0.16381704917678735, 0.050034578848830134, -0.27536985760061056, 0.007850211397823641, 0.19391957191503106, 0.20927873812615871, 0.03235995041280143, 0.0007282339037615691, -0.4614783281218366, 0.18134578627318482, -0.10717876552798822, -0.01579898574236928, -0.119590329464083, 0.12952499282625268, -0.15160163427903028, -0.3628068711729668, 0.07607240411752209, -0.08287754157895326, 0.1646430723324397, -0.00883037507101416, -0.3326300842855862, -0.0003349904765474931, -0.026025773891600344, 0.07182954737948159, 0.13034694263577398, 0.1716432565544327, -0.004905579885267942, -0.18247867322995165, 0.3290728776160585, -0.07768791981730716, -0.1369630103801919, 0.09142173421148232, -0.233770654598691, -0.13866584691466333, 0.2214254017703572, 0.26618435445878297, 0.030409558610411856, -0.20429418802703336, 0.10875315922588678, -0.03987798095736021, 0.2264553504538233, 0.10361823212292234, 0.025224049383574455, 0.10661289209005355, 0.16629195426417104, -0.05715945358177658, 0.07557798543679238, -0.16788850761792165, 0.008056640104090764, -0.4379182266502899, -0.11321546304655278, -0.029761488007455223, 0.09282066819447456, 0.005299310381938625, -0.004892236316355609, 0.35113748795968497, -0.01225536773415377, 0.3740886956753241, -0.03977912140741818, 0.2836443325346809, 0.046171959698079204, 0.0024987239716837634, 0.08007548403489471, 0.253292852070835, 0.20209865576171943, 0.18856445060895577, -0.32108447203375823, 0.02073545619058765, -0.06881406285542216] |
712.2267 | An Interaction of a Magellanic Leading Arm High Velocity Cloud with the
Milky Way Disk | The Leading Arm of the Magellanic System is a tidally formed HI feature
extending $\sim 60\arcdeg$ from the Magellanic Clouds ahead of their direction
of motion. Using atomic hydrogen (HI) data from the Galactic All Sky-Survey
(GASS), supplemented with data from the Australia Telescope Compact Array, we
have found evidence for an interaction between a cloud in the Leading Arm and
the Galactic disk where the Leading Arm crosses the Galactic plane. The
interaction occurs at velocities permitted by Galactic rotation, which allows
us to derive a kinematic distance to the cloud of 21 kpc, suggesting that the
Leading Arm crosses the Galactic Plane at a Galactic radius of $R\approx 17$
kpc.
| astro-ph | the leading arm of the magellanic system is a tidally formed hi feature extending sim 60arcdeg from the magellanic clouds ahead of their direction of motion using atomic hydrogen hi data from the galactic all skysurvey gass supplemented with data from the australia telescope compact array we have found evidence for an interaction between a cloud in the leading arm and the galactic disk where the leading arm crosses the galactic plane the interaction occurs at velocities permitted by galactic rotation which allows us to derive a kinematic distance to the cloud of 21 kpc suggesting that the leading arm crosses the galactic plane at a galactic radius of rapprox 17 kpc | [['the', 'leading', 'arm', 'of', 'the', 'magellanic', 'system', 'is', 'a', 'tidally', 'formed', 'hi', 'feature', 'extending', 'sim', '60arcdeg', 'from', 'the', 'magellanic', 'clouds', 'ahead', 'of', 'their', 'direction', 'of', 'motion', 'using', 'atomic', 'hydrogen', 'hi', 'data', 'from', 'the', 'galactic', 'all', 'skysurvey', 'gass', 'supplemented', 'with', 'data', 'from', 'the', 'australia', 'telescope', 'compact', 'array', 'we', 'have', 'found', 'evidence', 'for', 'an', 'interaction', 'between', 'a', 'cloud', 'in', 'the', 'leading', 'arm', 'and', 'the', 'galactic', 'disk', 'where', 'the', 'leading', 'arm', 'crosses', 'the', 'galactic', 'plane', 'the', 'interaction', 'occurs', 'at', 'velocities', 'permitted', 'by', 'galactic', 'rotation', 'which', 'allows', 'us', 'to', 'derive', 'a', 'kinematic', 'distance', 'to', 'the', 'cloud', 'of', '21', 'kpc', 'suggesting', 'that', 'the', 'leading', 'arm', 'crosses', 'the', 'galactic', 'plane', 'at', 'a', 'galactic', 'radius', 'of', 'rapprox', '17', 'kpc']] | [-0.12251864552464602, 0.050324928752551, -0.06791406352671661, -0.0026104482416745406, -0.11391067450001303, -0.016200375718264177, 0.08315354978133525, 0.37338405672926456, -0.2251904399745399, -0.31203284840116147, 0.021264506951930735, -0.31617798638152245, 0.004423620495279985, 0.1967328391391285, 0.05491485045890191, -0.06644584540377504, 0.019936937526966046, -0.06878129983462193, -0.020115521260387532, -0.1833135120832594, 0.2900466317909637, 0.0855013168849317, 0.11561411968432367, -0.06042238908620285, 0.1310225643870321, -0.13181407491252425, -0.05352549294808081, -0.03878350642376712, -0.13749671121883825, 0.0722963734213928, 0.22841464252373303, 0.08814440076405715, 0.20561501854847716, -0.4007773452072537, -0.1475164757908455, 0.036890057406188656, 0.23444067818179196, 0.05945027818649708, -0.04554805945736007, -0.34894818295392077, 0.004850295426357272, -0.20108306082797103, -0.29716874413757716, 0.1398142841228816, 0.0738421835043742, 0.04723767216533555, -0.20914690731037158, 0.10435959612368606, -0.016278567058699473, 0.11555913761757049, -0.07568484562268298, -0.09036007771231068, -0.05042368415680747, 0.10204603903028849, 0.012195213188533671, 0.17403739352968323, 0.23557935211907274, -0.10613899260559785, 0.01201292137141406, 0.4553263018439923, -0.03844446832018938, 0.033204435337600965, 0.19720738379276423, -0.23201628557788873, -0.1473158897632467, 0.17776426593107836, 0.18218115230722884, 0.056164924469028064, -0.14403777615266986, 0.0814001067436558, -0.053752306860198065, 0.20176875164699076, 0.10809067303281543, 0.013205663933019553, 0.3300625093148223, 0.08210607784816862, 0.12465241041042775, 0.12803094047870087, -0.357297581371053, -0.1246319447319755, -0.22500534215110488, -0.04727912333744046, -0.08224509397717027, 0.03638603034362729, -0.18296695641960728, -0.06757582518704501, 0.2801116526659046, 0.09839227855172794, 0.2771665088304352, 0.045398060105591345, 0.32004371411832316, 0.006168806474306621, 0.16673089426123106, 0.17897759588751277, 0.3335946965754764, 0.14299553626291786, 0.085227043076884, -0.2343615560260202, 0.0724658449720924, -0.005646788332212184] |
712.2268 | Solar system and equivalence principle constraints on f(R) gravity by
chameleon approach | We study constraints on f(R) dark energy models from solar system experiments
combined with experiments on the violation of equivalence principle. When the
mass of an equivalent scalar field degree of freedom is heavy in a region with
high density, a spherically symmetric body has a thin-shell so that an
effective coupling of the fifth force is suppressed through a chameleon
mechanism. We place experimental bounds on the cosmologically viable models
recently proposed in literature which have an asymptotic form f(R)=R-lambda R_c
[1-(R_c/R)^{2n}] in the regime R >> R_c. From the solar-system constraints on
the post-Newtonian parameter gamma, we derive the bound n>0.5, whereas the
constraints from the violations of weak and strong equivalence principles give
the bound n>0.9. This allows a possibility to find the deviation from the
LambdaCDM cosmological model. For the model f(R)=R-lambda R_c(R/R_c)^p with
0<p<1 the severest constraint is found to be p<10^{-10}, which shows that this
model is hardly distinguishable from the LambdaCDM cosmology.
| gr-qc astro-ph hep-ph hep-th | we study constraints on fr dark energy models from solar system experiments combined with experiments on the violation of equivalence principle when the mass of an equivalent scalar field degree of freedom is heavy in a region with high density a spherically symmetric body has a thinshell so that an effective coupling of the fifth force is suppressed through a chameleon mechanism we place experimental bounds on the cosmologically viable models recently proposed in literature which have an asymptotic form frrlambda r_c 1r_cr2n in the regime r r_c from the solarsystem constraints on the postnewtonian parameter gamma we derive the bound n05 whereas the constraints from the violations of weak and strong equivalence principles give the bound n09 this allows a possibility to find the deviation from the lambdacdm cosmological model for the model frrlambda r_crr_cp with 0p1 the severest constraint is found to be p1010 which shows that this model is hardly distinguishable from the lambdacdm cosmology | [['we', 'study', 'constraints', 'on', 'fr', 'dark', 'energy', 'models', 'from', 'solar', 'system', 'experiments', 'combined', 'with', 'experiments', 'on', 'the', 'violation', 'of', 'equivalence', 'principle', 'when', 'the', 'mass', 'of', 'an', 'equivalent', 'scalar', 'field', 'degree', 'of', 'freedom', 'is', 'heavy', 'in', 'a', 'region', 'with', 'high', 'density', 'a', 'spherically', 'symmetric', 'body', 'has', 'a', 'thinshell', 'so', 'that', 'an', 'effective', 'coupling', 'of', 'the', 'fifth', 'force', 'is', 'suppressed', 'through', 'a', 'chameleon', 'mechanism', 'we', 'place', 'experimental', 'bounds', 'on', 'the', 'cosmologically', 'viable', 'models', 'recently', 'proposed', 'in', 'literature', 'which', 'have', 'an', 'asymptotic', 'form', 'frrlambda', 'r_c', '1r_cr2n', 'in', 'the', 'regime', 'r', 'r_c', 'from', 'the', 'solarsystem', 'constraints', 'on', 'the', 'postnewtonian', 'parameter', 'gamma', 'we', 'derive', 'the', 'bound', 'n05', 'whereas', 'the', 'constraints', 'from', 'the', 'violations', 'of', 'weak', 'and', 'strong', 'equivalence', 'principles', 'give', 'the', 'bound', 'n09', 'this', 'allows', 'a', 'possibility', 'to', 'find', 'the', 'deviation', 'from', 'the', 'lambdacdm', 'cosmological', 'model', 'for', 'the', 'model', 'frrlambda', 'r_crr_cp', 'with', '0p1', 'the', 'severest', 'constraint', 'is', 'found', 'to', 'be', 'p1010', 'which', 'shows', 'that', 'this', 'model', 'is', 'hardly', 'distinguishable', 'from', 'the', 'lambdacdm', 'cosmology']] | [-0.12994741132327667, 0.10692201397717163, -0.112539681757857, 0.07435291647785701, -0.08538952539674938, -0.15641984646507084, 0.032146082046286516, 0.2656855442059728, -0.21792874319287828, -0.3232461414568556, 0.03402242100370737, -0.25397701046098614, -0.09074446687606187, 0.18642843622439662, 0.0016438452337005844, 0.01613157134180745, 0.018875923173394628, 0.0553059948903795, -0.06722553599292251, -0.21109016517696616, 0.3193129134858445, 0.1004648725043248, 0.24598343499625722, 0.05542310309549346, 0.07642973931386876, -0.07056513287273283, 0.04153813173672041, 0.029915323761554483, -0.20631676066701543, 0.06765940728095862, 0.1517025552567737, 0.12350038893950674, 0.21280863431718153, -0.3855846755934927, -0.22318421644815364, 0.12610373011109635, 0.10287143157956262, 0.13151864929703805, -0.06742202105800597, -0.3098365068495369, 0.050906578484827124, -0.199964868507101, -0.10962715128269525, -0.01050025026481121, 0.018351381334911984, -0.022049458179539308, -0.32286947406828403, 0.12059523937354336, 0.016148254472332504, -0.016013560010693394, -0.07462996539685171, -0.0917882381077223, -0.001944907660333392, 0.018140202041346736, 0.11356784332057056, 0.030862959983866088, 0.11122064149822108, -0.1364532481484975, -0.06046243372913569, 0.41378662234936386, -0.11516362345234181, -0.1722782809174066, 0.15462130542922145, -0.15170329930380178, -0.15258185831435883, 0.08365490422315466, 0.1417443126362438, 0.11335878656395018, -0.15165223082639828, 0.1954152923945236, -0.06141649903983284, 0.19892937782330988, 0.032926822549854524, 0.013092380596133761, 0.2699390033689829, 0.13884193940947837, 0.07790293813181612, 0.09955727797186671, -0.08525501604965076, -0.08622896359361804, -0.34306261743394995, -0.08916231690538833, -0.15004977392695415, 0.03221670279088311, -0.1635610895105063, -0.10838743493793747, 0.32649099828156, 0.14132104603236373, 0.17010939001547506, 0.09131546180623655, 0.2862122305131589, 0.10465888611864872, 0.07934490692031641, 0.06900544592197268, 0.3705336468186803, 0.12065851645400891, 0.05052864731540187, -0.21642257259913888, 0.0336173802960473, 0.04662617784178553] |
712.2269 | Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a
Field | The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may
be a good minimal model for real magnetic systems as well as a limit from which
the isotropic case can be better understood. We therefore study the
nearest-neighbor Heisenberg antiferromagnet on an anisotropic kagome lattice in
a magnetic field. Such a system should be well described by weakly interacting
spin chains, and we motivate a general form for the interaction by symmetry
considerations and by perturbatively projecting out the inter-chain spins. In
the spin 1/2 case, we find that the system exhibits a quantum phase transition
from a ferrimagnetic ordered state to an XY ordered state as the field is
increased. Finally, we discuss the appearance of magnetization plateaux in the
ferrimagnetic phase.
| cond-mat.str-el | the antiferromagnetic heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood we therefore study the nearestneighbor heisenberg antiferromagnet on an anisotropic kagome lattice in a magnetic field such a system should be well described by weakly interacting spin chains and we motivate a general form for the interaction by symmetry considerations and by perturbatively projecting out the interchain spins in the spin 12 case we find that the system exhibits a quantum phase transition from a ferrimagnetic ordered state to an xy ordered state as the field is increased finally we discuss the appearance of magnetization plateaux in the ferrimagnetic phase | [['the', 'antiferromagnetic', 'heisenberg', 'model', 'on', 'an', 'anisotropic', 'kagome', 'lattice', 'may', 'be', 'a', 'good', 'minimal', 'model', 'for', 'real', 'magnetic', 'systems', 'as', 'well', 'as', 'a', 'limit', 'from', 'which', 'the', 'isotropic', 'case', 'can', 'be', 'better', 'understood', 'we', 'therefore', 'study', 'the', 'nearestneighbor', 'heisenberg', 'antiferromagnet', 'on', 'an', 'anisotropic', 'kagome', 'lattice', 'in', 'a', 'magnetic', 'field', 'such', 'a', 'system', 'should', 'be', 'well', 'described', 'by', 'weakly', 'interacting', 'spin', 'chains', 'and', 'we', 'motivate', 'a', 'general', 'form', 'for', 'the', 'interaction', 'by', 'symmetry', 'considerations', 'and', 'by', 'perturbatively', 'projecting', 'out', 'the', 'interchain', 'spins', 'in', 'the', 'spin', '12', 'case', 'we', 'find', 'that', 'the', 'system', 'exhibits', 'a', 'quantum', 'phase', 'transition', 'from', 'a', 'ferrimagnetic', 'ordered', 'state', 'to', 'an', 'xy', 'ordered', 'state', 'as', 'the', 'field', 'is', 'increased', 'finally', 'we', 'discuss', 'the', 'appearance', 'of', 'magnetization', 'plateaux', 'in', 'the', 'ferrimagnetic', 'phase']] | [-0.17428507551369143, 0.24712357666223722, -0.019071286834565486, 0.07072072217526762, -0.05708502925084374, -0.13424489603612602, 0.033511170867557935, 0.4015974217904656, -0.26898766807999797, -0.23722142495245227, 0.09212723645907865, -0.309043847380312, -0.12413022928015609, 0.16303107498556269, 0.08168156935485095, -0.03504033109582052, -0.01438352867120468, 0.04364388057114026, -0.1153319894309663, -0.21580196937500704, 0.2719975483027141, 0.0036516201983364982, 0.2472320388154528, 0.026953882291701023, 0.06396264336791223, 0.051453416788481116, 0.1960619528762754, 0.07463292341406752, -0.13479644188315965, 0.022497346465725723, 0.21061619677499496, -0.09256840976628539, 0.1252451317831571, -0.4237799769328014, -0.19721422961542034, 0.059271557894497506, 0.17209003049486538, 0.20017029520605, -0.012874694973631664, -0.3485560264037089, -0.0023824561177776572, -0.21017059512678685, -0.1434729254725995, -0.14531878339565865, -0.06094614884482954, -0.011672267026828253, -0.2809349286513842, 0.11468260651227177, 0.13607089566180436, 0.11073130048145123, -0.08722616405779027, -0.09620907383580972, -0.05993515084596063, 0.07815554106184017, 0.025743886377904715, 0.10341207089273607, 0.08849612705701039, -0.12613340121186603, -0.17680249173133597, 0.39410421268908474, -0.06311315229035748, -0.1668019184645841, 0.13612692087048256, -0.14977860589685843, -0.10698082319998402, 0.09461245491979568, 0.13061940777342676, 0.06799669911691207, -0.14082029184735403, 0.1051911193853442, -0.05858652034728992, 0.19474403367839693, -0.07049669728735537, 0.014016388664192452, 0.30081954318272874, 0.2029125499879805, 0.07683534043788062, 0.22697786073014897, -0.06711940730096606, -0.1484425691281998, -0.238867359675043, -0.17013722325001307, -0.27213280009696394, 0.11241871965443337, -0.10952623778309604, -0.16799171383273068, 0.37205649940183433, 0.14621874188902084, 0.19960182307787785, -0.05449896647568368, 0.2027863746289376, 0.09738100656758751, 0.01938480737702391, 0.04639948188228821, 0.23299595065854065, 0.16752430168737664, 0.08022182707379504, -0.24485941241851183, 0.019541733318985236, 0.04677945944457883] |
712.227 | A Realization of Measurable Sets as Limit Points | Starting with a sigma finite measure on an algebra, we define a pseudometric
and show how measurable sets from the Caratheodory Extension Theorem can be
thought of as limit points of Cauchy sequences in the algebra.
| math.FA | starting with a sigma finite measure on an algebra we define a pseudometric and show how measurable sets from the caratheodory extension theorem can be thought of as limit points of cauchy sequences in the algebra | [['starting', 'with', 'a', 'sigma', 'finite', 'measure', 'on', 'an', 'algebra', 'we', 'define', 'a', 'pseudometric', 'and', 'show', 'how', 'measurable', 'sets', 'from', 'the', 'caratheodory', 'extension', 'theorem', 'can', 'be', 'thought', 'of', 'as', 'limit', 'points', 'of', 'cauchy', 'sequences', 'in', 'the', 'algebra']] | [-0.11212094019477566, 0.08553194509820766, -0.1767987106512818, 0.10994952301391298, -0.0559705072325111, -0.06771945543328507, 0.035165098030120134, 0.2889914798239867, -0.38206455546120804, -0.17499157541897148, 0.13796012020449983, -0.2995161299283306, -0.14547925173408455, 0.225921880091644, -0.16749732760945335, -0.0216006653305764, 0.0732339007469515, 0.11339332398751543, -0.10390768122548859, -0.1594380129697836, 0.4077724166628387, -0.04980439201204313, 0.21074489022915563, 0.045136281185679965, 0.1275348291835851, -0.003849909614978565, -0.017791882066780493, 0.050572374292338886, -0.15752207486528075, 0.07790619662652414, 0.27724628936913276, 0.13940424481148106, 0.22200118313695485, -0.34664260821106535, -0.1117556319416811, 0.20235778859609532, 0.13144743441241896, 0.03102221495161454, 0.017614552010652713, -0.3147781281214621, 0.09579074061993095, -0.1547637357790437, -0.17100397752235746, -0.06071929941471252, 0.05830814375076443, 0.03422294505354431, -0.261430830319619, -0.0017428361396822664, 0.107844948872096, 0.12261660482424001, -0.09643210519829558, -0.05839612918336772, -0.05952110136341718, 0.04301134815129141, -0.0263475326096846, 0.11219746347827216, 0.11641462133007331, -0.007889171260305576, -0.19593077634150782, 0.36321052391495967, -0.1110869975398398, -0.2951423305914634, 0.13426201469782326, -0.19388599207417834, -0.13186185549582458, 0.03205978999742203, 0.15129284940970442, 0.1446646432288819, -0.10145191856039067, 0.1951489853915215, -0.13987007850988042, 0.11102787596690986, 0.12505493535556728, 0.040458219384567604, 0.19934117121415007, 0.1362795724158382, 0.13766290723449653, 0.17894653497043894, 0.015381681118419187, -0.020844919387147658, -0.3906738589414292, -0.15855029988516536, -0.18361740021242035, 0.1901613880569736, -0.13751807564363439, -0.21965565328072342, 0.29677059723892146, 0.1481378458492044, 0.22160292002889845, 0.12468952025907735, 0.14296548919002008, 0.16115453370730393, 0.08424482845778887, 0.04554750307256149, 0.1101437436753056, 0.21447251681497115, 0.006242362174412442, -0.10753350323971568, -0.02620834976227747, 0.1799385053778274] |
712.2271 | One- and two-dimensional Coulomb Green's function matrices in parabolic
Sturmians basis | One- and two-dimensional operators which originate from the asymptotic form
of the three-body Coulomb wave equation in parabolic coordinates are treated
within the context of square integrable basis set. The matrix representations
of Green's functions corresponding to these operators are obtained.
| quant-ph | one and twodimensional operators which originate from the asymptotic form of the threebody coulomb wave equation in parabolic coordinates are treated within the context of square integrable basis set the matrix representations of greens functions corresponding to these operators are obtained | [['one', 'and', 'twodimensional', 'operators', 'which', 'originate', 'from', 'the', 'asymptotic', 'form', 'of', 'the', 'threebody', 'coulomb', 'wave', 'equation', 'in', 'parabolic', 'coordinates', 'are', 'treated', 'within', 'the', 'context', 'of', 'square', 'integrable', 'basis', 'set', 'the', 'matrix', 'representations', 'of', 'greens', 'functions', 'corresponding', 'to', 'these', 'operators', 'are', 'obtained']] | [-0.11257338301255936, 0.09532245985379942, -0.038785659889804154, 0.08617856753308599, -0.03486208526826486, -0.08123284303469629, -0.056825185558054506, 0.30365236748645946, -0.3047695044518971, -0.17520097940705898, 0.09248525844375807, -0.3429780263090279, -0.15442290088934144, 0.1597594899102682, 0.08052408260793038, 0.09849874579870119, 0.05749389674605393, 0.048808728412884035, -0.17119759373457694, -0.19225142512288762, 0.40335948165596985, -0.0760453457421646, 0.184093819749428, -0.019518015128219636, 0.07923507997084682, 0.047782410617645196, -0.009455178057911193, -0.037551988722620215, -0.07434216582375329, 0.12999230149065757, 0.27002946260135346, 0.022029469505225014, 0.22254719775419954, -0.4793895348543074, -0.16625846717960951, 0.08760924385179107, 0.17496394023026635, 0.09133454474404727, 0.026971007129404603, -0.3383573784220328, -0.028460813708966824, -0.1694285090013248, -0.22636808376623, -0.056055989394691294, -0.03166149178428984, 0.09767200257174852, -0.27748028665962743, 0.14061994798390604, 0.013374172514531671, 0.0018414175365029312, -0.136819323433972, -0.1806964925376744, -0.054969498132378225, 0.10163054331319361, 0.01146269245527503, 0.023735777815667596, 0.09656915306000084, -0.10783666743692465, -0.04818792916016608, 0.38483025681045724, -0.019327263143367884, -0.31006737335062606, 0.1267517306387606, -0.2030636531459849, -0.05312969493566126, 0.12027236926028641, 0.19032127773616372, 0.09353149540313496, -0.22466137789462398, 0.16685733144461154, -0.08505003105404661, 0.05748733406511658, 0.10997599672821419, 0.08172303183776576, 0.1417250713878652, 0.05335221634950579, -0.0066447630524635315, 0.09363923787434654, -0.00295257123141754, -0.1681688302310138, -0.3724107653266046, -0.08196081743552917, -0.21143162758771059, 0.06416501209428023, -0.08890388591361244, -0.24768875793712894, 0.4172006042300803, 0.08033286237226027, 0.16949554510619036, 0.038385426764739904, 0.14594817697638418, 0.24669105039161301, 0.1262523547360083, 0.051081695124682996, 0.21509180157786098, 0.1909466027850058, -0.0025377156178853135, -0.20706426033682032, -0.053942741405945724, 0.2591508351629827] |
712.2272 | Symmetry aspects of nonholonomic field theories | The developments in this paper are concerned with nonholonomic field theories
in the presence of symmetries. Having previously treated the case of vertical
symmetries, we now deal with the case where the symmetry action can also have a
horizontal component. As a first step in this direction, we derive a new and
convenient form of the field equations of a nonholonomic field theory.
Nonholonomic symmetries are then introduced as symmetry generators whose
virtual work is zero along the constraint submanifold, and we show that for
every such symmetry, there exists a so-called momentum equation, describing the
evolution of the associated component of the momentum map. Keeping up with the
underlying geometric philosophy, a small modification of the derivation of the
momentum lemma allows us to treat also generalized nonholonomic symmetries,
which are vector fields along a projection. Such symmetries arise for example
in practical examples of nonholonomic field theories such as the Cosserat rod,
for which we recover both energy conservation (a previously known result), as
well as a modified conservation law associated with spatial translations.
| math-ph math.MP | the developments in this paper are concerned with nonholonomic field theories in the presence of symmetries having previously treated the case of vertical symmetries we now deal with the case where the symmetry action can also have a horizontal component as a first step in this direction we derive a new and convenient form of the field equations of a nonholonomic field theory nonholonomic symmetries are then introduced as symmetry generators whose virtual work is zero along the constraint submanifold and we show that for every such symmetry there exists a socalled momentum equation describing the evolution of the associated component of the momentum map keeping up with the underlying geometric philosophy a small modification of the derivation of the momentum lemma allows us to treat also generalized nonholonomic symmetries which are vector fields along a projection such symmetries arise for example in practical examples of nonholonomic field theories such as the cosserat rod for which we recover both energy conservation a previously known result as well as a modified conservation law associated with spatial translations | [['the', 'developments', 'in', 'this', 'paper', 'are', 'concerned', 'with', 'nonholonomic', 'field', 'theories', 'in', 'the', 'presence', 'of', 'symmetries', 'having', 'previously', 'treated', 'the', 'case', 'of', 'vertical', 'symmetries', 'we', 'now', 'deal', 'with', 'the', 'case', 'where', 'the', 'symmetry', 'action', 'can', 'also', 'have', 'a', 'horizontal', 'component', 'as', 'a', 'first', 'step', 'in', 'this', 'direction', 'we', 'derive', 'a', 'new', 'and', 'convenient', 'form', 'of', 'the', 'field', 'equations', 'of', 'a', 'nonholonomic', 'field', 'theory', 'nonholonomic', 'symmetries', 'are', 'then', 'introduced', 'as', 'symmetry', 'generators', 'whose', 'virtual', 'work', 'is', 'zero', 'along', 'the', 'constraint', 'submanifold', 'and', 'we', 'show', 'that', 'for', 'every', 'such', 'symmetry', 'there', 'exists', 'a', 'socalled', 'momentum', 'equation', 'describing', 'the', 'evolution', 'of', 'the', 'associated', 'component', 'of', 'the', 'momentum', 'map', 'keeping', 'up', 'with', 'the', 'underlying', 'geometric', 'philosophy', 'a', 'small', 'modification', 'of', 'the', 'derivation', 'of', 'the', 'momentum', 'lemma', 'allows', 'us', 'to', 'treat', 'also', 'generalized', 'nonholonomic', 'symmetries', 'which', 'are', 'vector', 'fields', 'along', 'a', 'projection', 'such', 'symmetries', 'arise', 'for', 'example', 'in', 'practical', 'examples', 'of', 'nonholonomic', 'field', 'theories', 'such', 'as', 'the', 'cosserat', 'rod', 'for', 'which', 'we', 'recover', 'both', 'energy', 'conservation', 'a', 'previously', 'known', 'result', 'as', 'well', 'as', 'a', 'modified', 'conservation', 'law', 'associated', 'with', 'spatial', 'translations']] | [-0.1592577748894903, 0.1270415133304513, -0.06402890633828727, 0.04729009713562184, -0.13209261047516271, -0.11936238248017617, -0.051772412214301185, 0.3260024938446639, -0.2887977896091549, -0.2948005250972611, 0.09420681596384384, -0.23192351784523038, -0.15385356356405697, 0.1410177190938901, -0.07502573042240163, 0.04075954382047216, -0.0001556390978459438, 0.05969182203195735, -0.08760080110964323, -0.16845659116568806, 0.3486604105882262, 0.004073096187229649, 0.24509836100994356, 0.001776353176286317, 0.1758683376749766, 0.03395916146506683, 0.006541009927538901, 0.051403224242015065, -0.1134571975048857, 0.08153132676803083, 0.2119193003190131, 0.056267031002128286, 0.21773216551677746, -0.41108326359029557, -0.22026610033671287, 0.08100388983902204, 0.12673067570722196, 0.14210062928958161, -0.07280617177655752, -0.2714190976614852, 0.04703527587381276, -0.17158618791621516, -0.23839472819500687, -0.10012665890363595, -0.001029821585027755, 0.025780120901551774, -0.22941224110069347, 0.06979853741458183, 0.11219985351172826, 0.08945549837633072, -0.096422047001397, -0.06161287074792199, -0.07264926731030838, 0.08794020443085836, 0.11435434423566965, 0.04924067832127383, 0.08659382626865408, -0.12253584043620239, -0.12496181320272047, 0.4453788459756073, -0.029243547094334976, -0.29649293835444207, 0.14242601194233762, -0.0693698168986223, -0.20121138451874934, 0.07468963870037855, 0.16998070870547302, 0.11799152420565985, -0.13205185658443952, 0.1448833034261373, -0.05795838826187802, 0.07546414246793244, 0.08583213449244133, 0.03217444757518189, 0.17288640365983488, 0.08234055242659948, 0.10263202708632559, 0.11908229043315673, -0.04894733636981321, -0.15510571766803463, -0.38143116696102713, -0.2017826844927516, -0.1377854185729203, 0.09406575766148638, -0.07092186543724727, -0.1446608578183011, 0.38669570566509553, 0.10190057507266333, 0.20537089702107056, 0.05787228868840347, 0.26249288274729304, 0.16597428969411834, 0.1036040977051016, 0.055940301181346345, 0.21002089272554836, 0.19454764760501514, 0.08378381939043968, -0.17347235585012558, -0.02902186475165019, 0.08333613256003115] |
712.2273 | Fabrication of high performance MgB2 wires by an internal Mg diffusion
process | We succeeded in the fabrication of high-Jc MgB2/Fe wires applying the
internal Mg diffusion (IMD) process with pure Mg core and SiC addition. A pure
Mg rod with 2 mm diameter was placed at the center of a Fe tube, and the space
between Mg and Fe tube was filled with B powder or the powder mixture of
B-(5mol%)SiC. The composite was cold worked into 1.2mm diameter wire and
finally heat treated at temperatures above the melting point of Mg(~650oC).
During the heat treatment liquid Mg infiltrated into B layer and reacted with B
to form MgB2. X-ray diffraction analysis indicated that the major phase in the
reacted layer is MgB2. SEM analysis shows that the density of MgB2 layer is
higher than that of usual powder-in-tube(PIT) processed wires. The wires with
5mol% SiC addition heat treated at 670oC showed Jc values higher than 105A/cm2
in 8T and 41,000A/cm2 in 10T at 4.2K. These values are much higher than those
of usual PIT processed wires even compared to the ones with SiC addition.
Higher density of MgB2 layer obtained by the diffusion reaction is the major
cause of this excellent Jc values.
| cond-mat.supr-con cond-mat.other | we succeeded in the fabrication of highjc mgb2fe wires applying the internal mg diffusion imd process with pure mg core and sic addition a pure mg rod with 2 mm diameter was placed at the center of a fe tube and the space between mg and fe tube was filled with b powder or the powder mixture of b5molsic the composite was cold worked into 12mm diameter wire and finally heat treated at temperatures above the melting point of mg650oc during the heat treatment liquid mg infiltrated into b layer and reacted with b to form mgb2 xray diffraction analysis indicated that the major phase in the reacted layer is mgb2 sem analysis shows that the density of mgb2 layer is higher than that of usual powderintubepit processed wires the wires with 5mol sic addition heat treated at 670oc showed jc values higher than 105acm2 in 8t and 41000acm2 in 10t at 42k these values are much higher than those of usual pit processed wires even compared to the ones with sic addition higher density of mgb2 layer obtained by the diffusion reaction is the major cause of this excellent jc values | [['we', 'succeeded', 'in', 'the', 'fabrication', 'of', 'highjc', 'mgb2fe', 'wires', 'applying', 'the', 'internal', 'mg', 'diffusion', 'imd', 'process', 'with', 'pure', 'mg', 'core', 'and', 'sic', 'addition', 'a', 'pure', 'mg', 'rod', 'with', '2', 'mm', 'diameter', 'was', 'placed', 'at', 'the', 'center', 'of', 'a', 'fe', 'tube', 'and', 'the', 'space', 'between', 'mg', 'and', 'fe', 'tube', 'was', 'filled', 'with', 'b', 'powder', 'or', 'the', 'powder', 'mixture', 'of', 'b5molsic', 'the', 'composite', 'was', 'cold', 'worked', 'into', '12mm', 'diameter', 'wire', 'and', 'finally', 'heat', 'treated', 'at', 'temperatures', 'above', 'the', 'melting', 'point', 'of', 'mg650oc', 'during', 'the', 'heat', 'treatment', 'liquid', 'mg', 'infiltrated', 'into', 'b', 'layer', 'and', 'reacted', 'with', 'b', 'to', 'form', 'mgb2', 'xray', 'diffraction', 'analysis', 'indicated', 'that', 'the', 'major', 'phase', 'in', 'the', 'reacted', 'layer', 'is', 'mgb2', 'sem', 'analysis', 'shows', 'that', 'the', 'density', 'of', 'mgb2', 'layer', 'is', 'higher', 'than', 'that', 'of', 'usual', 'powderintubepit', 'processed', 'wires', 'the', 'wires', 'with', '5mol', 'sic', 'addition', 'heat', 'treated', 'at', '670oc', 'showed', 'jc', 'values', 'higher', 'than', '105acm2', 'in', '8t', 'and', '41000acm2', 'in', '10t', 'at', '42k', 'these', 'values', 'are', 'much', 'higher', 'than', 'those', 'of', 'usual', 'pit', 'processed', 'wires', 'even', 'compared', 'to', 'the', 'ones', 'with', 'sic', 'addition', 'higher', 'density', 'of', 'mgb2', 'layer', 'obtained', 'by', 'the', 'diffusion', 'reaction', 'is', 'the', 'major', 'cause', 'of', 'this', 'excellent', 'jc', 'values']] | [-0.052871906288232455, 0.1779078013389497, 0.02956931419226945, -0.060016066127571176, 0.02762698547763599, -0.18665213272151712, 0.07369518590134544, 0.43578485117570775, -0.17867066125209266, -0.3263632100176167, 0.04747008129551604, -0.33701150627253024, -0.006975267273751465, 0.14721564239369253, 0.013241976322102788, 0.0022398776635118582, 0.013791520225286886, -0.011351848795468843, -0.10820290114277521, -0.25168829053338315, 0.2522874134617883, 0.10046967873349785, 0.3347030886272724, 0.03670847155027897, 0.027048283014006008, -0.04710242900355543, 0.04900027193078721, 0.09415896982945678, -0.12616818197558452, 0.06450653783851178, 0.23093460395781173, -0.06275692515679308, 0.17214021217329678, -0.4962933900539537, -0.25579103625291405, -0.0013293762469500606, 0.09981265523395426, 0.059373652937545165, -0.015369137832139794, -0.2318809816154425, 0.1078374016123849, -0.08091740020601129, -0.11469248239001309, 0.026969177058167957, -0.017853040696197264, -0.03800625468343119, -0.220611923384304, 0.0670831467654254, 0.07767958953674581, 0.10303433748666901, -0.08124759830282749, -0.23011541901206647, -0.07446824500739978, 0.033785066795157824, 0.006390849469273628, 0.04449480301653337, 0.21849099012544831, -0.08857389657909201, -0.012657812222637035, 0.32438990592553807, -0.08911823121967688, -0.06067336934140405, 0.16967605282930104, -0.19011093620840158, -0.04062707315425615, 0.22226128565097178, 0.06772318942428289, 0.08640718023116524, -0.14286091637772483, 0.0224867329939042, 0.0036203004130338497, 0.1873975672087368, 0.15400866211920575, -0.03127095479065099, 0.1843354132114532, 0.20612437514953214, 0.0038724079879151807, 0.17452784863401305, -0.14573918788920384, -0.014871521253843565, -0.23464019951486104, -0.25875421842006413, -0.14033964635124682, 0.07744581264040962, -0.10464622237345178, -0.16250025698776685, 0.28418747900255226, 0.0800074406874341, 0.17864014950857773, -0.060075570983462966, 0.2347443199414458, 0.07440631260239594, 0.11485008728734494, 0.08422694390740346, 0.21842240772093646, 0.21957493550773408, 0.17345159433127658, -0.21977439710769703, 0.11093564449079536, 0.006036478026795226] |
712.2274 | Distributed MAC Strategy for Exploiting Multi-user Diversity in
Multi-rate IEEE 802.11 Wireless LANs | Fast rate adaptation has been established as an effective way to improve the
PHY-layer raw date rate of wireless networks. However, within the current IEEE
802.11 legacy, MAC-layer throughput is dominated by users with the lowest data
rates, resulting in underutilization of bandwidth. In this paper, we propose
and analyze a novel distributed MAC strategy, referred to as Rate-aware DCF
(R-DCF), to leverage the potential of rate adaptation in IEEE 802.11 WLANs. The
key feature of R-DCF is that by introducing different mini slots according to
the instantaneous channel conditions, only contending stations with the highest
data rate can access the channel. In this way, the R-DCF protocol not only
exploits multi-user diversity in a fully distributed manner but also reduces
the loss of throughput due to collisions. Through analysis, we develop an
analytical model to derive the throughput of R-DCF in general multi-rate WLANs.
Using the analytical model we investigate the performance of R-DCF protocol in
various network settings with different rate adaptation strategies and channel
variations. Based on the analysis, we further derive the maximal throughput
achievable by R-DCF. For practical implementation, an offline adaptive backoff
method is developed to achieve a close-to-optimal performance at low runtime
complexity. The superiority of R-DCF is proven via extensive analyses and
simulations.
| cs.NI | fast rate adaptation has been established as an effective way to improve the phylayer raw date rate of wireless networks however within the current ieee 80211 legacy maclayer throughput is dominated by users with the lowest data rates resulting in underutilization of bandwidth in this paper we propose and analyze a novel distributed mac strategy referred to as rateaware dcf rdcf to leverage the potential of rate adaptation in ieee 80211 wlans the key feature of rdcf is that by introducing different mini slots according to the instantaneous channel conditions only contending stations with the highest data rate can access the channel in this way the rdcf protocol not only exploits multiuser diversity in a fully distributed manner but also reduces the loss of throughput due to collisions through analysis we develop an analytical model to derive the throughput of rdcf in general multirate wlans using the analytical model we investigate the performance of rdcf protocol in various network settings with different rate adaptation strategies and channel variations based on the analysis we further derive the maximal throughput achievable by rdcf for practical implementation an offline adaptive backoff method is developed to achieve a closetooptimal performance at low runtime complexity the superiority of rdcf is proven via extensive analyses and simulations | [['fast', 'rate', 'adaptation', 'has', 'been', 'established', 'as', 'an', 'effective', 'way', 'to', 'improve', 'the', 'phylayer', 'raw', 'date', 'rate', 'of', 'wireless', 'networks', 'however', 'within', 'the', 'current', 'ieee', '80211', 'legacy', 'maclayer', 'throughput', 'is', 'dominated', 'by', 'users', 'with', 'the', 'lowest', 'data', 'rates', 'resulting', 'in', 'underutilization', 'of', 'bandwidth', 'in', 'this', 'paper', 'we', 'propose', 'and', 'analyze', 'a', 'novel', 'distributed', 'mac', 'strategy', 'referred', 'to', 'as', 'rateaware', 'dcf', 'rdcf', 'to', 'leverage', 'the', 'potential', 'of', 'rate', 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712.2275 | PLATYPUS: a code for fusion and breakup in reactions induced by
weakly-bound nuclei within a classical trajectory model with stochastic
breakup | A self-contained Fortran-90 program based on a classical trajectory model
with stochastic breakup is presented, which should be a powerful tool for
quantifying complete and incomplete fusion, and breakup in reactions induced by
weakly-bound two-body projectiles near the Coulomb barrier. The code calculates
complete and incomplete fusion cross sections and their angular momentum
distribution, as well as breakup observables (angle, kinetic energy and
relative energy distributions).
| nucl-th nucl-ex | a selfcontained fortran90 program based on a classical trajectory model with stochastic breakup is presented which should be a powerful tool for quantifying complete and incomplete fusion and breakup in reactions induced by weaklybound twobody projectiles near the coulomb barrier the code calculates complete and incomplete fusion cross sections and their angular momentum distribution as well as breakup observables angle kinetic energy and relative energy distributions | [['a', 'selfcontained', 'fortran90', 'program', 'based', 'on', 'a', 'classical', 'trajectory', 'model', 'with', 'stochastic', 'breakup', 'is', 'presented', 'which', 'should', 'be', 'a', 'powerful', 'tool', 'for', 'quantifying', 'complete', 'and', 'incomplete', 'fusion', 'and', 'breakup', 'in', 'reactions', 'induced', 'by', 'weaklybound', 'twobody', 'projectiles', 'near', 'the', 'coulomb', 'barrier', 'the', 'code', 'calculates', 'complete', 'and', 'incomplete', 'fusion', 'cross', 'sections', 'and', 'their', 'angular', 'momentum', 'distribution', 'as', 'well', 'as', 'breakup', 'observables', 'angle', 'kinetic', 'energy', 'and', 'relative', 'energy', 'distributions']] | [-0.028091296267865055, 0.1506623975142385, -0.14481041296808558, 0.18463199633124255, -0.01708986039739102, -0.11752870927959906, 0.007205744104629213, 0.3339274536507825, -0.27747169041046593, -0.29366620292068657, -0.04603888732240056, -0.2693571862694102, -0.014845771261951251, 0.17373255685070585, 0.043304959326192285, 0.12639290306039833, 0.16560269223356788, 0.0015031029752483873, -0.02394355430662858, -0.1213701841223872, 0.33499534347687254, 0.19475052878260612, 0.20510368859113165, 0.16845716224898669, 0.110000713530815, 0.14127910155520745, -0.0429760215761648, -0.0032206702356537185, -0.16151807883888428, 0.07083008679645983, 0.2663822085949395, 0.08005453922757597, 0.1587818456235144, -0.40362475555615895, -0.1701608084734868, 0.05798898991479567, 0.13178029604155614, 0.15046858900953367, -0.046530464563561094, -0.26572655011532886, -0.009178523835020535, -0.2689380967587402, -0.12164700314205026, -0.12312742813744328, 0.08062496489252556, 0.08438024367911345, -0.2823641267252352, 0.09072876556522468, 0.03793807650061243, 0.06430376950425631, -0.07887422757322025, -0.19069474956698038, -0.1001289398303594, 0.05770494139781504, -0.003011503826586925, 0.04174331749196757, 0.23436991281271208, -0.09717886642443552, -0.10541883974590084, 0.3872767862242957, 0.0010697363318423882, -0.21402589377425046, 0.14727873851502823, -0.09571632960895923, -0.04135771010028706, 0.22583159894654245, 0.21148397880747463, 0.17154383819522054, -0.19504478150470692, 0.055068088733330085, 0.04363427327409612, 0.09602514993060719, 0.08528317942876708, 0.018910431952187508, 0.1998361530713737, 0.19227665575277625, 0.002742377568431424, 0.0688690048850593, -0.1372510064216895, -0.1771711138161746, -0.3666132277047092, -0.12163671894902081, -0.11307062863047715, 0.04797334058887579, 0.010019993100175987, -0.14182517386860016, 0.30686334830181405, 4.384419651504493e-05, 0.24204257991743472, 0.004263837103887151, 0.3721524000619397, 0.10031056882122136, 0.05612730627498505, 0.07736434144405366, 0.23070746980551066, 0.19923669126265767, 0.053232637396308055, -0.2200366497307903, 0.09348690436419213, 0.08361762900356993] |
712.2276 | Approximation and limit theorems for quantum stochastic models with
unbounded coefficients | We prove a limit theorem for quantum stochastic differential equations with
unbounded coefficients which extends the Trotter-Kato theorem for contraction
semigroups. From this theorem, general results on the convergence of
approximations and singular perturbations are obtained. The results are
illustrated in several examples of physical interest.
| math-ph math.FA math.MP quant-ph | we prove a limit theorem for quantum stochastic differential equations with unbounded coefficients which extends the trotterkato theorem for contraction semigroups from this theorem general results on the convergence of approximations and singular perturbations are obtained the results are illustrated in several examples of physical interest | [['we', 'prove', 'a', 'limit', 'theorem', 'for', 'quantum', 'stochastic', 'differential', 'equations', 'with', 'unbounded', 'coefficients', 'which', 'extends', 'the', 'trotterkato', 'theorem', 'for', 'contraction', 'semigroups', 'from', 'this', 'theorem', 'general', 'results', 'on', 'the', 'convergence', 'of', 'approximations', 'and', 'singular', 'perturbations', 'are', 'obtained', 'the', 'results', 'are', 'illustrated', 'in', 'several', 'examples', 'of', 'physical', 'interest']] | [-0.09570732471816566, 0.055422631092369556, -0.09463881395514244, 0.10199231557983338, -0.0363861220969778, -0.0970420734450707, -0.007160248401898729, 0.2605544959559389, -0.2786208629284216, -0.17569971860022002, 0.179947913692677, -0.2948854696005583, -0.1659603464903067, 0.3381834805578641, -0.11590878544982684, 0.11141076183918378, 0.10040215257069339, 0.029890686506405473, -0.1111100782012648, -0.24738036448632003, 0.3448134365532061, -0.0758329682057197, 0.20257341037706836, 0.09157486837964667, 0.13404192123562098, -0.013907875227944358, -0.08664940005046842, -0.0026252025171466494, -0.19241468509173262, 0.14103610143470374, 0.297082673992048, 0.05327350003553084, 0.29152863837130694, -0.4015542771667242, -0.19899311246674345, 0.07520375323972826, 0.06396599632179183, 0.134787992602113, -0.05481305610864302, -0.3391654402341532, 0.1061148883410446, -0.13822165949513082, -0.21526504316083764, -0.12793736259007585, -0.03383686903702176, 0.10410535890285087, -0.3239466976374388, 0.10632963739234307, 0.2106834510543748, 0.062099541385617595, -0.08841380541739256, -0.0901373537515452, 0.00618612308703039, 0.03313141892178227, 0.05590915983117631, -0.08841368514518051, 0.11087486409055798, -0.04099824221339077, -0.14750410831006971, 0.3159824754364546, -0.07905161795813752, -0.26627500662985054, 0.13431896616542793, -0.12068884134414079, -0.20043784561162087, 0.1018921091099796, 0.13969099392061649, 0.1934360616395007, -0.10804997738855689, 0.19272548442013035, -0.0844600629972537, 0.027983132506842198, 0.12271079623504826, 0.03757496353912005, 0.06486210537031697, 0.07347172247650831, 0.10625731521893454, 0.14738158684264382, 0.05964642661400949, -0.2109264660343204, -0.37019903828268463, -0.09690466233650627, -0.16418826567899922, 0.11226247942439564, -0.19914067833166843, -0.17572333912729568, 0.3365164182918227, 0.13915360137395075, 0.14858538865962106, 0.16252770479616668, 0.24839580747420373, 0.21414698415395358, -0.029280968212886997, 0.07203594356289376, 0.20873190898893643, 0.28465231145610626, 0.09456792055710178, -0.11212255677673966, 0.023030174496259704, 0.18890435678843895] |
712.2277 | High-resolution temporal constraints on the dynamics of dark energy | We use the recent type Ia supernova, cosmic microwave background and
large-scale structure data to shed light on the temporal evolution of the dark
energy equation of state $w(z)$ out to redshift one. We constrain the most
flexible parametrization of dark energy to date, and include the dark energy
perturbations consistently throughout. Interpreting our results via the
principal component analysis, we find no significant evidence for dynamical
dark energy: the cosmological constant model is consistent with data everywhere
between redshift zero and one at 95% C.L.
| astro-ph | we use the recent type ia supernova cosmic microwave background and largescale structure data to shed light on the temporal evolution of the dark energy equation of state wz out to redshift one we constrain the most flexible parametrization of dark energy to date and include the dark energy perturbations consistently throughout interpreting our results via the principal component analysis we find no significant evidence for dynamical dark energy the cosmological constant model is consistent with data everywhere between redshift zero and one at 95 cl | [['we', 'use', 'the', 'recent', 'type', 'ia', 'supernova', 'cosmic', 'microwave', 'background', 'and', 'largescale', 'structure', 'data', 'to', 'shed', 'light', 'on', 'the', 'temporal', 'evolution', 'of', 'the', 'dark', 'energy', 'equation', 'of', 'state', 'wz', 'out', 'to', 'redshift', 'one', 'we', 'constrain', 'the', 'most', 'flexible', 'parametrization', 'of', 'dark', 'energy', 'to', 'date', 'and', 'include', 'the', 'dark', 'energy', 'perturbations', 'consistently', 'throughout', 'interpreting', 'our', 'results', 'via', 'the', 'principal', 'component', 'analysis', 'we', 'find', 'no', 'significant', 'evidence', 'for', 'dynamical', 'dark', 'energy', 'the', 'cosmological', 'constant', 'model', 'is', 'consistent', 'with', 'data', 'everywhere', 'between', 'redshift', 'zero', 'and', 'one', 'at', '95', 'cl']] | [-0.1068720079601071, 0.06696348274830556, -0.10071502573419969, 0.14202703566555758, -0.14137168386734503, -0.0938774173129025, 0.015666379679947398, 0.3546717785472094, -0.20698836040385285, -0.33334808432778645, 0.042032029615108706, -0.2997321695391208, -0.0036471706962613606, 0.20244743535565862, 0.08164844818976383, 0.005876330633073785, 0.06756384272756445, -0.0027594313642746488, -0.013644805563502772, -0.26051733300068175, 0.33429098034515803, 0.1368167363567451, 0.2757721682793872, 0.02675414623605997, 0.10487645817649832, -0.042819600005439204, -0.1221998100233979, -0.06732261614050976, -0.19745538784407599, 0.04402866211264979, 0.1980986064868481, 0.13646029522317613, 0.18452926718922288, -0.4067231680504804, -0.2837476362095236, 0.1745565974175237, 0.1312356743485082, 0.12449519445599858, -0.07356671545638291, -0.2678356819953986, 0.04880640395682814, -0.157786003064884, -0.14439812081941772, -0.03407512078613996, -0.04284544114759842, -0.006723667516611343, -0.19337774025679696, 0.19601715740552822, -0.02983619572309138, -0.037279142521668314, -0.13566325669079413, -0.10597577607692328, -0.07000601626553594, 0.0024062550713329816, 0.0819570091729009, 0.03414980459113627, 0.10948735310392844, -0.14681915309128546, -0.0404189384480137, 0.3759118873344431, -0.1595223152963986, -0.10575841777676413, 0.17395613402355636, -0.152732367621908, -0.19301035075968262, 0.11609091233397119, 0.1616059792617899, 0.022168241083881882, -0.1529638211704455, 0.0933878494130155, 0.04459438169764918, 0.24389998101477706, 0.014098580352702113, 0.04193969594213508, 0.3159248367883265, 0.16822343621792835, 0.03658872379293276, 0.010025280303061875, -0.13499632390313457, -0.061944618772412106, -0.32997475424239975, -0.12001172737976493, -0.12644005108213183, 0.07062318223815542, -0.15230778138492349, -0.12484425569472965, 0.40004519988284554, 0.12993040608328787, 0.22752852261954443, 0.029075320523102268, 0.3268743936124063, 0.06112385332329892, 0.027082708309577822, 0.0885385484488811, 0.3341584976134432, 0.1407573037932432, 0.10762721640707622, -0.22568700395979333, -0.0006780683016945976, -0.03892050523765732] |
712.2278 | Carbon in the trigonal prismatic environment of rheniums complexes | The electronic state of carbon in trigonal prismatic environment of rheniums
was studied with electron localization function and was shown to be
characterized by sp2 hybridisation and oxidation state minus 4.
| physics.chem-ph | the electronic state of carbon in trigonal prismatic environment of rheniums was studied with electron localization function and was shown to be characterized by sp2 hybridisation and oxidation state minus 4 | [['the', 'electronic', 'state', 'of', 'carbon', 'in', 'trigonal', 'prismatic', 'environment', 'of', 'rheniums', 'was', 'studied', 'with', 'electron', 'localization', 'function', 'and', 'was', 'shown', 'to', 'be', 'characterized', 'by', 'sp2', 'hybridisation', 'and', 'oxidation', 'state', 'minus', '4']] | [-0.11515536289274071, 0.1963092697163423, 0.006468071136623621, -0.024927028396632522, 0.10093970311184725, -0.17057977666457494, 0.04752717560622841, 0.43677233085036277, -0.23175937089448173, -0.34484882388884824, 0.016620697837788613, -0.30780058975021046, -0.1382058291385571, 0.06551487086496005, -0.009295036954184373, 0.01355855626364549, 0.008980768049756687, -0.040188638990124065, -0.08990161313364903, -0.24658060825119416, 0.25747776112208764, 0.06377845530708631, 0.314027322762801, 0.10957893909265598, 0.05446883467957377, 0.05151800527237356, 0.10568262804299593, 0.02386682787910104, -0.06479334160685539, 0.07982367494453986, 0.25104900101820626, -0.04908080166981866, 0.13167260078092416, -0.46272615573058523, -0.2011231824445228, -0.018731667567044495, 0.11446169338499507, 0.11630745315924287, -0.007879819635612269, -0.2990693016598622, 0.08130179656048615, -0.17264305384208758, -0.15877387835644186, -0.04098137247686585, 0.01707709369560083, -0.004044543641308944, -0.20631489747514328, 0.06640915848935644, -0.005023429340993365, 0.10307660860319932, -0.14504039635260899, -0.15646990180636447, -0.22601335092137256, 0.06784920860081911, 0.04142243396490812, 0.06608685508205478, 0.1911238232627511, -0.07350793013659616, -0.09999536679436763, 0.4089709227283796, -0.014099652382234732, -0.09280689085523287, 0.17303019634758432, -0.1572520453017205, -0.03676734042043487, 0.23807418905198574, 0.04137918387229244, 0.07496245050181945, -0.15479917371024687, 0.09828719968209043, 0.07445893396312991, 0.15350787987311681, 0.10082655157893897, 0.006688560545444489, 0.13144515392680964, 0.2333393747607867, 0.07042713975533843, 0.2040931259243128, -0.11488614572832982, -0.021339125434557595, -0.10648541996876398, -0.2311384929654499, -0.22764686805506548, 0.12066992563195526, 0.011878137322491966, -0.1835790044036306, 0.4145751941949129, -0.05495062035818895, 0.14010287107278904, -0.1561199860026439, 0.16137819327414035, 0.08670292204866807, 0.08087011788350841, 0.0005198618397116661, 0.22403112738393247, 0.19553519734181463, 0.04213671861216426, -0.27649258027474083, 0.13515271386131644, 0.062243528788288434] |
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